TSTP Solution File: SET861-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n008.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 : Sat Sep 2 00:02:45 EDT 2023
% Result : Unsatisfiable 0.20s 0.65s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f2957,plain,
$false,
inference(avatar_smt_refutation,[],[f40,f47,f56,f91,f104,f127,f145,f151,f178,f195,f201,f234,f258,f264,f302,f321,f331,f380,f400,f409,f542,f566,f572,f672,f704,f726,f732,f850,f873,f879,f1046,f1070,f1076,f1121,f1151,f1161,f1176,f1203,f1322,f1328,f1688,f1695,f1749,f1751,f1753,f1755,f1757,f1759,f1761,f1763,f1765,f1905,f1933,f2319,f2356,f2374,f2377,f2388,f2431,f2439,f2453,f2484,f2498,f2528,f2553,f2582,f2593,f2621,f2802,f2812,f2827,f2857,f2871,f2881,f2937,f2956]) ).
fof(f2956,plain,
( spl0_59
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2890,f2854,f2317]) ).
fof(f2317,plain,
( spl0_59
<=> ! [X7,X8] :
( ~ c_in(X7,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X7,X8,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2854,plain,
( spl0_80
<=> c_in(c_union(c_insert(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f2890,plain,
( ! [X2,X3] :
( c_in(X2,X3,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X2,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a) )
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f2883,f7]) ).
fof(f7,axiom,
! [X2,X5] : c_in(c_Zorn_OHausdorff__1(X5,X2),c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Zorn_OHausdorff_0) ).
fof(f2883,plain,
( ! [X2,X3] :
( c_in(X2,X3,t_a)
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X2,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a) )
| ~ spl0_80 ),
inference(resolution,[],[f2856,f9]) ).
fof(f9,axiom,
! [X2,X3,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(X4,X7,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X7,X2),X3,tc_set(X2))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Zorn_Omaxchain__super__lemma_0) ).
fof(f2856,plain,
( c_in(c_union(c_insert(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2854]) ).
fof(f2937,plain,
( spl0_5
| ~ spl0_79
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f2936]) ).
fof(f2936,plain,
( $false
| spl0_5
| ~ spl0_79
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f2925,f103]) ).
fof(f103,plain,
( ~ c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| spl0_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_5
<=> c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2925,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_79
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f2924]) ).
fof(f2924,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_79
| ~ spl0_80 ),
inference(resolution,[],[f2912,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,X0,X2),X0,X2)
| c_lessequals(X1,X0,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Set_OsubsetI_1) ).
fof(f2912,plain,
( ! [X6] :
( c_in(c_Main_OsubsetI__1(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X6,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X6,tc_set(t_a)) )
| ~ spl0_79
| ~ spl0_80 ),
inference(resolution,[],[f2907,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X1,X0,X2),X1,X2)
| c_lessequals(X1,X0,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Set_OsubsetI_0) ).
fof(f2907,plain,
( ! [X12] :
( ~ c_in(X12,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_in(X12,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_79
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f2903,f2811]) ).
fof(f2811,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f2809]) ).
fof(f2809,plain,
( spl0_79
<=> c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f2903,plain,
( ! [X12] :
( c_in(X12,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X12,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) )
| ~ spl0_80 ),
inference(resolution,[],[f2889,f34]) ).
fof(f34,plain,
! [X0] :
( c_lessequals(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ c_in(X0,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f32,f15]) ).
fof(f15,axiom,
! [X8,X9] :
( ~ c_in(X8,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X9,v_x(X8),tc_set(t_a))
| ~ c_in(X9,X8,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_conjecture_4) ).
fof(f32,plain,
! [X0,X1] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[],[f27,f7]) ).
fof(f27,plain,
! [X6,X7,X5] :
( ~ c_in(X5,c_Zorn_Omaxchain(X6,X7),tc_set(tc_set(X7)))
| c_in(X5,c_Zorn_Ochain(X6,X7),tc_set(tc_set(X7))) ),
inference(resolution,[],[f2,f8]) ).
fof(f8,axiom,
! [X2,X5] : c_lessequals(c_Zorn_Omaxchain(X5,X2),c_Zorn_Ochain(X5,X2),tc_set(tc_set(tc_set(X2)))),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Zorn_Omaxchain__subset__chain_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| c_in(X3,X0,X2)
| ~ c_in(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Set_OsubsetD_0) ).
fof(f2889,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))
| c_in(X0,X1,t_a)
| ~ c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a) )
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f2882,f7]) ).
fof(f2882,plain,
( ! [X0,X1] :
( c_in(X0,X1,t_a)
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))
| ~ c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a) )
| ~ spl0_80 ),
inference(resolution,[],[f2856,f10]) ).
fof(f10,axiom,
! [X2,X3,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(X4,X7,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X7,X2),X7,tc_set(X2))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Zorn_Omaxchain__super__lemma_1) ).
fof(f2881,plain,
( spl0_58
| ~ spl0_61
| spl0_80 ),
inference(avatar_contradiction_clause,[],[f2880]) ).
fof(f2880,plain,
( $false
| spl0_58
| ~ spl0_61
| spl0_80 ),
inference(subsumption_resolution,[],[f2879,f2368]) ).
fof(f2368,plain,
( c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f2367,plain,
( spl0_61
<=> c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2879,plain,
( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| spl0_58
| spl0_80 ),
inference(subsumption_resolution,[],[f2878,f32]) ).
fof(f2878,plain,
( ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| spl0_58
| spl0_80 ),
inference(subsumption_resolution,[],[f2877,f2314]) ).
fof(f2314,plain,
( ~ c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| spl0_58 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f2313,plain,
( spl0_58
<=> c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2877,plain,
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| spl0_80 ),
inference(resolution,[],[f2855,f5]) ).
fof(f5,axiom,
! [X2,X3,X4,X5] :
( c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X4,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Zorn_Ochain__extend_0) ).
fof(f2855,plain,
( ~ c_in(c_union(c_insert(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_80 ),
inference(avatar_component_clause,[],[f2854]) ).
fof(f2871,plain,
( spl0_5
| ~ spl0_59
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f2870]) ).
fof(f2870,plain,
( $false
| spl0_5
| ~ spl0_59
| spl0_79 ),
inference(subsumption_resolution,[],[f2866,f103]) ).
fof(f2866,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_59
| spl0_79 ),
inference(resolution,[],[f2716,f2810]) ).
fof(f2810,plain,
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| spl0_79 ),
inference(avatar_component_clause,[],[f2809]) ).
fof(f2716,plain,
( ! [X96] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X96,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X96,tc_set(t_a)) )
| ~ spl0_59 ),
inference(duplicate_literal_removal,[],[f2715]) ).
fof(f2715,plain,
( ! [X96] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X96,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X96,tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X96,tc_set(t_a)) )
| ~ spl0_59 ),
inference(resolution,[],[f2642,f4]) ).
fof(f2642,plain,
( ! [X10,X11] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X10,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X11,t_a),X10,t_a)
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X11,tc_set(t_a)) )
| ~ spl0_59 ),
inference(resolution,[],[f2318,f3]) ).
fof(f2318,plain,
( ! [X8,X7] :
( ~ c_in(X7,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X7,X8,t_a) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f2857,plain,
( spl0_80
| ~ spl0_61
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f2824,f2618,f2367,f2854]) ).
fof(f2618,plain,
( spl0_77
<=> c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f2824,plain,
( c_in(c_union(c_insert(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_61
| ~ spl0_77 ),
inference(subsumption_resolution,[],[f2821,f2368]) ).
fof(f2821,plain,
( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_77 ),
inference(resolution,[],[f2620,f94]) ).
fof(f94,plain,
! [X10,X11,X12] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X11,X12),X10,X12),X10,tc_set(X12))
| ~ c_in(X10,X11,tc_set(X12))
| c_in(c_union(c_insert(X10,c_emptyset,tc_set(X12)),c_Zorn_OHausdorff__1(X11,X12),tc_set(X12)),c_Zorn_Ochain(X11,X12),tc_set(tc_set(X12))) ),
inference(resolution,[],[f6,f32]) ).
fof(f6,axiom,
! [X2,X3,X4,X5] :
( ~ c_in(X3,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X5,tc_set(X2))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X4,X2),X4,tc_set(X2))
| c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Zorn_Ochain__extend_1) ).
fof(f2620,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2827,plain,
( ~ spl0_1
| spl0_78 ),
inference(avatar_contradiction_clause,[],[f2826]) ).
fof(f2826,plain,
( $false
| ~ spl0_1
| spl0_78 ),
inference(subsumption_resolution,[],[f2825,f39]) ).
fof(f39,plain,
( c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2825,plain,
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| spl0_78 ),
inference(resolution,[],[f2806,f276]) ).
fof(f276,plain,
! [X14] :
( c_lessequals(v_xa(X14),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))),tc_set(t_a))
| ~ c_in(X14,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f275,plain,
! [X14] :
( c_lessequals(v_xa(X14),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))),tc_set(t_a))
| ~ c_in(X14,v_S,tc_set(t_a))
| c_lessequals(v_xa(X14),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))),tc_set(t_a)) ),
inference(resolution,[],[f217,f3]) ).
fof(f217,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1)))))),t_a),v_xa(X1),t_a)
| c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1)))))),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f208,f12]) ).
fof(f12,axiom,
! [X8] :
( c_in(v_xa(X8),v_S,tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_conjecture_1) ).
fof(f208,plain,
! [X0,X1] :
( c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1)))))),tc_set(t_a))
| ~ c_in(v_xa(X1),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1)))))),t_a),v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f160,f29]) ).
fof(f29,plain,
! [X0,X1] :
( c_in(X0,v_xa(v_xa(X1)),t_a)
| ~ c_in(X0,v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f25,f12]) ).
fof(f25,plain,
! [X0,X1] :
( ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,X1,t_a)
| c_in(X0,v_xa(X1),t_a) ),
inference(resolution,[],[f2,f13]) ).
fof(f13,axiom,
! [X8] :
( c_lessequals(X8,v_xa(X8),tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_conjecture_2) ).
fof(f160,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(X1))))),t_a),v_xa(X1),t_a)
| c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(X1))))),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f153,f12]) ).
fof(f153,plain,
! [X0,X1] :
( c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(X1))))),tc_set(t_a))
| ~ c_in(v_xa(X1),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(X1))))),t_a),v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f111,f29]) ).
fof(f111,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(X1)))),t_a),v_xa(X1),t_a)
| c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(X1)))),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f106,f12]) ).
fof(f106,plain,
! [X0,X1] :
( c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(X1)))),tc_set(t_a))
| ~ c_in(v_xa(X1),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(X1)))),t_a),v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f77,f29]) ).
fof(f77,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(X0))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(X0))),tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f73,f12]) ).
fof(f73,plain,
! [X0,X1] :
( ~ c_in(v_xa(X0),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(X0))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(X0))),t_a),v_xa(X0),t_a)
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(resolution,[],[f31,f29]) ).
fof(f31,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(X1)),t_a),v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X0,v_xa(v_xa(X1)),tc_set(t_a)) ),
inference(resolution,[],[f29,f4]) ).
fof(f2806,plain,
( ~ c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| spl0_78 ),
inference(avatar_component_clause,[],[f2805]) ).
fof(f2805,plain,
( spl0_78
<=> c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f2812,plain,
( spl0_78
| spl0_79
| ~ spl0_1
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2736,f2317,f37,f2809,f2805]) ).
fof(f2736,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_59 ),
inference(duplicate_literal_removal,[],[f2658]) ).
fof(f2658,plain,
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_59 ),
inference(resolution,[],[f2642,f278]) ).
fof(f278,plain,
( ! [X11] :
( ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f273,f39]) ).
fof(f273,plain,
( ! [X11] :
( c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f217,f41]) ).
fof(f41,plain,
( ! [X0] :
( c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| ~ c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f39,f25]) ).
fof(f2802,plain,
( ~ spl0_1
| ~ spl0_60
| spl0_77 ),
inference(avatar_contradiction_clause,[],[f2801]) ).
fof(f2801,plain,
( $false
| ~ spl0_1
| ~ spl0_60
| spl0_77 ),
inference(subsumption_resolution,[],[f2800,f2619]) ).
fof(f2619,plain,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| spl0_77 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2800,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_60 ),
inference(duplicate_literal_removal,[],[f2778]) ).
fof(f2778,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_60 ),
inference(resolution,[],[f2637,f64]) ).
fof(f64,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f41,f4]) ).
fof(f2637,plain,
( ! [X1] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,tc_set(t_a)) )
| ~ spl0_60 ),
inference(resolution,[],[f2413,f3]) ).
fof(f2413,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_60 ),
inference(resolution,[],[f2355,f2]) ).
fof(f2355,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f2353]) ).
fof(f2353,plain,
( spl0_60
<=> c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2621,plain,
( spl0_77
| ~ spl0_1
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f2616,f2313,f37,f2618]) ).
fof(f2616,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_58 ),
inference(duplicate_literal_removal,[],[f2594]) ).
fof(f2594,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_58 ),
inference(resolution,[],[f2417,f64]) ).
fof(f2417,plain,
( ! [X1] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,tc_set(t_a)) )
| ~ spl0_58 ),
inference(resolution,[],[f2389,f3]) ).
fof(f2389,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_58 ),
inference(resolution,[],[f2315,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ c_in(X0,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,X0,t_a) ),
inference(resolution,[],[f34,f2]) ).
fof(f2315,plain,
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f2593,plain,
( ~ spl0_75
| spl0_76
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f2555,f2550,f2590,f2586]) ).
fof(f2586,plain,
( spl0_75
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f2590,plain,
( spl0_76
<=> v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f2550,plain,
( spl0_72
<=> c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f2555,plain,
( v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_72 ),
inference(resolution,[],[f2552,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_Set_Osubset__antisym_0) ).
fof(f2552,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f2550]) ).
fof(f2582,plain,
( ~ spl0_73
| spl0_74
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f2414,f2353,f2579,f2575]) ).
fof(f2575,plain,
( spl0_73
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f2579,plain,
( spl0_74
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f2414,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| ~ c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),tc_set(t_a))
| ~ spl0_60 ),
inference(resolution,[],[f2355,f1]) ).
fof(f2553,plain,
( spl0_72
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f2545,f2367,f2550]) ).
fof(f2545,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ spl0_61 ),
inference(duplicate_literal_removal,[],[f2544]) ).
fof(f2544,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ spl0_61 ),
inference(resolution,[],[f2405,f3]) ).
fof(f2405,plain,
( ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a)) )
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f2394,f2368]) ).
fof(f2394,plain,
( ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) )
| ~ spl0_61 ),
inference(resolution,[],[f2379,f111]) ).
fof(f2379,plain,
( ! [X2] :
( c_in(X2,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a)
| ~ c_in(X2,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a) )
| ~ spl0_61 ),
inference(resolution,[],[f2368,f25]) ).
fof(f2528,plain,
( ~ spl0_70
| spl0_71
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2500,f2495,f2525,f2521]) ).
fof(f2521,plain,
( spl0_70
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f2525,plain,
( spl0_71
<=> v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f2495,plain,
( spl0_69
<=> c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f2500,plain,
( v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_69 ),
inference(resolution,[],[f2497,f1]) ).
fof(f2497,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f2495]) ).
fof(f2498,plain,
( spl0_69
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f2490,f2367,f2495]) ).
fof(f2490,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ spl0_61 ),
inference(duplicate_literal_removal,[],[f2489]) ).
fof(f2489,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ spl0_61 ),
inference(resolution,[],[f2404,f3]) ).
fof(f2404,plain,
( ! [X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a)) )
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f2393,f2368]) ).
fof(f2393,plain,
( ! [X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) )
| ~ spl0_61 ),
inference(resolution,[],[f2379,f77]) ).
fof(f2484,plain,
( ~ spl0_67
| spl0_68
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f2455,f2450,f2481,f2477]) ).
fof(f2477,plain,
( spl0_67
<=> c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f2481,plain,
( spl0_68
<=> v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f2450,plain,
( spl0_66
<=> c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f2455,plain,
( v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_66 ),
inference(resolution,[],[f2452,f1]) ).
fof(f2452,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f2450]) ).
fof(f2453,plain,
( spl0_66
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f2445,f2367,f2450]) ).
fof(f2445,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ spl0_61 ),
inference(duplicate_literal_removal,[],[f2444]) ).
fof(f2444,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ spl0_61 ),
inference(resolution,[],[f2403,f3]) ).
fof(f2403,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a)) )
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f2392,f2368]) ).
fof(f2392,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| c_lessequals(X0,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a)) )
| ~ spl0_61 ),
inference(resolution,[],[f2379,f31]) ).
fof(f2439,plain,
( ~ spl0_65
| spl0_63
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f2434,f2428,f2385,f2436]) ).
fof(f2436,plain,
( spl0_65
<=> c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f2385,plain,
( spl0_63
<=> v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2428,plain,
( spl0_64
<=> c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f2434,plain,
( ~ c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| spl0_63
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f2433,f2387]) ).
fof(f2387,plain,
( v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) != v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))
| spl0_63 ),
inference(avatar_component_clause,[],[f2385]) ).
fof(f2433,plain,
( v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))
| ~ c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_64 ),
inference(resolution,[],[f2430,f1]) ).
fof(f2430,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f2428]) ).
fof(f2431,plain,
( spl0_64
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f2423,f2367,f2428]) ).
fof(f2423,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_61 ),
inference(duplicate_literal_removal,[],[f2422]) ).
fof(f2422,plain,
( c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_61 ),
inference(resolution,[],[f2402,f3]) ).
fof(f2402,plain,
( ! [X10] :
( ~ c_in(c_Main_OsubsetI__1(X10,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(X10,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) )
| ~ spl0_61 ),
inference(resolution,[],[f2379,f4]) ).
fof(f2388,plain,
( ~ spl0_63
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f2380,f2367,f2385]) ).
fof(f2380,plain,
( v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) != v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))
| ~ spl0_61 ),
inference(resolution,[],[f2368,f14]) ).
fof(f14,axiom,
! [X8] :
( ~ c_in(X8,v_S,tc_set(t_a))
| v_xa(X8) != X8 ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_conjecture_3) ).
fof(f2377,plain,
( ~ spl0_1
| spl0_61 ),
inference(avatar_contradiction_clause,[],[f2376]) ).
fof(f2376,plain,
( $false
| ~ spl0_1
| spl0_61 ),
inference(subsumption_resolution,[],[f2375,f39]) ).
fof(f2375,plain,
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| spl0_61 ),
inference(resolution,[],[f2369,f12]) ).
fof(f2369,plain,
( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| spl0_61 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f2374,plain,
( ~ spl0_61
| spl0_62
| spl0_58 ),
inference(avatar_split_clause,[],[f2359,f2313,f2371,f2367]) ).
fof(f2371,plain,
( spl0_62
<=> c_in(v_x(c_union(c_insert(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f2359,plain,
( c_in(v_x(c_union(c_insert(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| spl0_58 ),
inference(subsumption_resolution,[],[f2357,f32]) ).
fof(f2357,plain,
( c_in(v_x(c_union(c_insert(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_58 ),
inference(resolution,[],[f2314,f58]) ).
fof(f58,plain,
! [X3,X4] :
( c_in(v_x(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),v_S,tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(X3,X4,t_a),X3,tc_set(t_a))
| ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(X3,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f5,f11]) ).
fof(f11,axiom,
! [X8] :
( ~ c_in(X8,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(v_x(X8),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.86PKicGst7/Vampire---4.8_19300',cls_conjecture_0) ).
fof(f2356,plain,
( spl0_60
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f2337,f2313,f2353]) ).
fof(f2337,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_58 ),
inference(duplicate_literal_removal,[],[f2336]) ).
fof(f2336,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_58 ),
inference(resolution,[],[f2324,f4]) ).
fof(f2324,plain,
( ! [X1] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,tc_set(t_a)) )
| ~ spl0_58 ),
inference(resolution,[],[f2320,f3]) ).
fof(f2320,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_58 ),
inference(resolution,[],[f2315,f48]) ).
fof(f2319,plain,
( spl0_58
| spl0_59
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1656,f37,f2317,f2313]) ).
fof(f1656,plain,
( ! [X8,X7] :
( ~ c_in(X7,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X7,X8,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f1112,f39]) ).
fof(f1112,plain,
! [X56,X54,X55] :
( ~ c_in(X56,v_S,tc_set(t_a))
| ~ c_in(X55,v_xa(X56),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(X56),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X55,X54,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X54,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f364,f12]) ).
fof(f364,plain,
! [X10,X11,X8,X9,X7] :
( ~ c_in(X11,X10,tc_set(X9))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X10,X9),X8,X9),c_Zorn_OHausdorff__1(X10,X9),tc_set(X9))
| ~ c_in(X7,X11,X9)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X10,X9),X11,X9),c_Zorn_OHausdorff__1(X10,X9),tc_set(X9))
| c_in(X7,X8,X9) ),
inference(resolution,[],[f129,f7]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(X0,X1,X2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X0,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(X3,X5,X2),X3,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(subsumption_resolution,[],[f128,f27]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,X1,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X0,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(X3,X5,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f9,f5]) ).
fof(f1933,plain,
( ~ spl0_1
| ~ spl0_50
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1932]) ).
fof(f1932,plain,
( $false
| ~ spl0_1
| ~ spl0_50
| spl0_55 ),
inference(subsumption_resolution,[],[f1931,f39]) ).
fof(f1931,plain,
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ spl0_50
| spl0_55 ),
inference(subsumption_resolution,[],[f1930,f1747]) ).
fof(f1747,plain,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| spl0_55 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1746,plain,
( spl0_55
<=> c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1930,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ spl0_50 ),
inference(duplicate_literal_removal,[],[f1909]) ).
fof(f1909,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_50 ),
inference(resolution,[],[f1722,f31]) ).
fof(f1722,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,tc_set(t_a)) )
| ~ spl0_50 ),
inference(resolution,[],[f1700,f3]) ).
fof(f1700,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),t_a)
| c_in(X0,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a) )
| ~ spl0_50 ),
inference(resolution,[],[f1202,f2]) ).
fof(f1202,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1200,plain,
( spl0_50
<=> c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1905,plain,
( ~ spl0_56
| spl0_57
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1701,f1200,f1902,f1898]) ).
fof(f1898,plain,
( spl0_56
<=> c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1902,plain,
( spl0_57
<=> v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1701,plain,
( v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),tc_set(t_a))
| ~ spl0_50 ),
inference(resolution,[],[f1202,f1]) ).
fof(f1765,plain,
( ~ spl0_1
| spl0_44
| ~ spl0_46
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1764]) ).
fof(f1764,plain,
( $false
| ~ spl0_1
| spl0_44
| ~ spl0_46
| spl0_55 ),
inference(global_subsumption,[],[f1116,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f39,f42,f34,f51,f5,f41,f48,f65,f49,f18,f31,f76,f81,f30,f64,f86,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f78,f122,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f112,f173,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f161,f229,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f280,f289,f295,f290,f291,f292,f293,f281,f218,f297,f57,f324,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f361,f366,f373,f367,f368,f369,f370,f371,f362,f278,f375,f171,f402,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f510,f509,f508,f507,f61,f513,f506,f523,f515,f517,f505,f527,f519,f522,f526,f512,f359,f95,f535,f536,f537,f533,f534,f556,f555,f557,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f514,f521,f610,f612,f611,f613,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f637,f659,f647,f658,f660,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f524,f688,f482,f698,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f516,f737,f525,f763,f762,f638,f798,f797,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f800,f820,f807,f819,f821,f528,f835,f834,f833,f239,f639,f844,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f518,f910,f529,f940,f939,f938,f937,f203,f948,f949,f950,f801,f987,f986,f985,f984,f990,f991,f992,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f989,f1011,f1010,f1012,f997,f530,f1029,f1028,f1027,f1026,f1025,f403,f1035,f1036,f1037,f802,f1040,f238,f1078,f443,f1080,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087,f1098,f1088,f1089,f1090,f1091,f1092,f520,f1082,f364,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1109,f1110,f1111,f1113,f1108,f1165,f461,f1164,f1211,f1319,f1318,f1317,f1316,f1315,f1314,f1313,f1312,f1311,f462,f325,f1374,f1375,f286,f1403,f1404,f1405,f63,f1456,f1457,f1450,f1451,f1452,f1453,f1454,f1455,f326,f1527,f1524,f1525,f404,f1651,f1652,f1653,f1112,f1655,f1656,f1657,f1658,f1659,f1661,f1662,f1150,f365,f1703,f1704,f1705,f1706,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1720,f1721,f1698,f1747]) ).
fof(f1698,plain,
( ! [X0] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),t_a) )
| ~ spl0_46 ),
inference(resolution,[],[f1150,f2]) ).
fof(f1721,plain,
! [X91,X96,X94,X95,X92,X93] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X91,X92),X93,tc_set(tc_set(X92))),X94,X92),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X91,X92),X93,tc_set(tc_set(X92))),tc_set(X92))
| ~ c_in(X95,c_Main_OsubsetI__1(X91,X96,tc_set(X92)),X92)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X91,X92),X93,tc_set(tc_set(X92))),c_Main_OsubsetI__1(X91,X96,tc_set(X92)),X92),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X91,X92),X93,tc_set(tc_set(X92))),tc_set(X92))
| c_in(X95,X94,X92)
| c_lessequals(c_Zorn_Omaxchain(X91,X92),X93,tc_set(tc_set(tc_set(X92))))
| c_lessequals(X91,X96,tc_set(tc_set(X92))) ),
inference(resolution,[],[f365,f3]) ).
fof(f1720,plain,
! [X90,X88,X89,X87] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X87,tc_set(tc_set(t_a))),X88,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X87,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X89,v_xa(X90),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X87,tc_set(tc_set(t_a))),v_xa(X90),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X87,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(X89,X88,t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X87,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X90,v_S,tc_set(t_a)) ),
inference(resolution,[],[f365,f12]) ).
fof(f1718,plain,
! [X82,X83,X80,X81,X79] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X79,tc_set(tc_set(t_a))),X80,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X79,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X81,v_x(c_union(c_insert(X82,c_emptyset,tc_set(t_a)),X83,tc_set(t_a))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X79,tc_set(tc_set(t_a))),v_x(c_union(c_insert(X82,c_emptyset,tc_set(t_a)),X83,tc_set(t_a))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X79,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(X81,X80,t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X79,tc_set(tc_set(tc_set(t_a))))
| c_in(c_Zorn_Ochain__extend__1(X83,X82,t_a),X83,tc_set(t_a))
| ~ c_in(X82,v_S,tc_set(t_a))
| ~ c_in(X83,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f365,f58]) ).
fof(f1717,plain,
! [X78,X76,X77,X75] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X75,tc_set(tc_set(t_a))),X76,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X75,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X77,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X78,tc_set(tc_set(t_a)))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X75,tc_set(tc_set(t_a))),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X78,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X75,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(X77,X76,t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X75,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X78,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f365,f334]) ).
fof(f1716,plain,
! [X72,X73,X71,X74] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X71,tc_set(tc_set(t_a))),X72,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X71,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X73,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X74,tc_set(tc_set(t_a)))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X71,tc_set(tc_set(t_a))),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X74,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X71,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(X73,X72,t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X71,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X74,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f365,f18]) ).
fof(f1715,plain,
( ! [X70,X68,X69] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X68,tc_set(tc_set(t_a))),X69,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X68,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X70,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X68,tc_set(tc_set(t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X68,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(X70,X69,t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X68,tc_set(tc_set(tc_set(t_a)))) )
| ~ spl0_1 ),
inference(resolution,[],[f365,f39]) ).
fof(f1714,plain,
! [X65,X63,X66,X67,X64] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X63,X64),tc_set(X64)),X65,tc_set(tc_set(tc_set(X64)))),X66,tc_set(X64)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X63,X64),tc_set(X64)),X65,tc_set(tc_set(tc_set(X64)))),tc_set(tc_set(X64)))
| ~ c_in(X67,c_Zorn_OHausdorff__1(X63,X64),tc_set(X64))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X63,X64),tc_set(X64)),X65,tc_set(tc_set(tc_set(X64)))),c_Zorn_OHausdorff__1(X63,X64),tc_set(X64)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X63,X64),tc_set(X64)),X65,tc_set(tc_set(tc_set(X64)))),tc_set(tc_set(X64)))
| c_in(X67,X66,tc_set(X64))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Ochain(X63,X64),tc_set(X64)),X65,tc_set(tc_set(tc_set(tc_set(X64))))) ),
inference(resolution,[],[f365,f32]) ).
fof(f1713,plain,
! [X58,X59,X62,X60,X61] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Omaxchain(X58,X59),tc_set(X59)),X60,tc_set(tc_set(tc_set(X59)))),X61,tc_set(X59)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Omaxchain(X58,X59),tc_set(X59)),X60,tc_set(tc_set(tc_set(X59)))),tc_set(tc_set(X59)))
| ~ c_in(X62,c_Zorn_OHausdorff__1(X58,X59),tc_set(X59))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Omaxchain(X58,X59),tc_set(X59)),X60,tc_set(tc_set(tc_set(X59)))),c_Zorn_OHausdorff__1(X58,X59),tc_set(X59)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Omaxchain(X58,X59),tc_set(X59)),X60,tc_set(tc_set(tc_set(X59)))),tc_set(tc_set(X59)))
| c_in(X62,X61,tc_set(X59))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Omaxchain(X58,X59),tc_set(X59)),X60,tc_set(tc_set(tc_set(tc_set(X59))))) ),
inference(resolution,[],[f365,f7]) ).
fof(f1712,plain,
! [X51,X56,X54,X57,X55,X52,X53] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X51,tc_set(X52)),tc_set(tc_set(X52))),X53,tc_set(tc_set(tc_set(tc_set(X52))))),X54,tc_set(tc_set(X52))),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X51,tc_set(X52)),tc_set(tc_set(X52))),X53,tc_set(tc_set(tc_set(tc_set(X52))))),tc_set(tc_set(tc_set(X52))))
| ~ c_in(X55,c_union(c_insert(X56,c_emptyset,tc_set(tc_set(X52))),c_Zorn_Omaxchain(X57,X52),tc_set(tc_set(X52))),tc_set(tc_set(X52)))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X51,tc_set(X52)),tc_set(tc_set(X52))),X53,tc_set(tc_set(tc_set(tc_set(X52))))),c_union(c_insert(X56,c_emptyset,tc_set(tc_set(X52))),c_Zorn_Omaxchain(X57,X52),tc_set(tc_set(X52))),tc_set(tc_set(X52))),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X51,tc_set(X52)),tc_set(tc_set(X52))),X53,tc_set(tc_set(tc_set(tc_set(X52))))),tc_set(tc_set(tc_set(X52))))
| c_in(X55,X54,tc_set(tc_set(X52)))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Ochain(X51,tc_set(X52)),tc_set(tc_set(X52))),X53,tc_set(tc_set(tc_set(tc_set(tc_set(X52))))))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X57,X52),X56,tc_set(X52)),c_Zorn_Ochain(X57,X52),tc_set(tc_set(X52)))
| ~ c_in(X56,X51,tc_set(tc_set(X52)))
| ~ c_in(c_Zorn_Omaxchain(X57,X52),c_Zorn_Ochain(X51,tc_set(X52)),tc_set(tc_set(tc_set(X52)))) ),
inference(resolution,[],[f365,f63]) ).
fof(f1711,plain,
! [X50,X48,X46,X49,X47] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X46,tc_set(t_a)),tc_set(tc_set(t_a))),X47,tc_set(tc_set(tc_set(tc_set(t_a))))),X48,tc_set(tc_set(t_a))),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X46,tc_set(t_a)),tc_set(tc_set(t_a))),X47,tc_set(tc_set(tc_set(tc_set(t_a))))),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X49,c_union(c_insert(X50,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X46,tc_set(t_a)),tc_set(tc_set(t_a))),X47,tc_set(tc_set(tc_set(tc_set(t_a))))),c_union(c_insert(X50,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X46,tc_set(t_a)),tc_set(tc_set(t_a))),X47,tc_set(tc_set(tc_set(tc_set(t_a))))),tc_set(tc_set(tc_set(t_a))))
| c_in(X49,X48,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Ochain(X46,tc_set(t_a)),tc_set(tc_set(t_a))),X47,tc_set(tc_set(tc_set(tc_set(tc_set(t_a))))))
| ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Ochain(X46,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X50,X46,tc_set(tc_set(t_a)))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X50,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f365,f62]) ).
fof(f1710,plain,
! [X41,X44,X45,X42,X43] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X41,t_a),tc_set(t_a)),X42,tc_set(tc_set(tc_set(t_a)))),X43,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X41,t_a),tc_set(t_a)),X42,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| ~ c_in(X44,c_union(c_insert(X45,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X41,t_a),tc_set(t_a)),X42,tc_set(tc_set(tc_set(t_a)))),c_union(c_insert(X45,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X41,t_a),tc_set(t_a)),X42,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| c_in(X44,X43,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Ochain(X41,t_a),tc_set(t_a)),X42,tc_set(tc_set(tc_set(tc_set(t_a)))))
| ~ c_in(v_S,c_Zorn_Ochain(X41,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X45,X41,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X45,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X45,t_a)) ),
inference(resolution,[],[f365,f60]) ).
fof(f1709,plain,
! [X40,X38,X39,X36,X37,X35] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X35,t_a),tc_set(t_a)),X36,tc_set(tc_set(tc_set(t_a)))),X37,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X35,t_a),tc_set(t_a)),X36,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| ~ c_in(X38,c_union(c_insert(X39,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X35,t_a),tc_set(t_a)),X36,tc_set(tc_set(tc_set(t_a)))),c_union(c_insert(X39,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X35,t_a),tc_set(t_a)),X36,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| c_in(X38,X37,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Ochain(X35,t_a),tc_set(t_a)),X36,tc_set(tc_set(tc_set(tc_set(t_a)))))
| c_in(X40,v_xa(c_Zorn_Ochain__extend__1(v_S,X39,t_a)),t_a)
| ~ c_in(X39,X35,tc_set(t_a))
| ~ c_in(X40,c_Zorn_Ochain__extend__1(v_S,X39,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X35,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f365,f59]) ).
fof(f1708,plain,
! [X31,X28,X29,X34,X32,X30,X33] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X28,X29),tc_set(X29)),X30,tc_set(tc_set(tc_set(X29)))),X31,tc_set(X29)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X28,X29),tc_set(X29)),X30,tc_set(tc_set(tc_set(X29)))),tc_set(tc_set(X29)))
| ~ c_in(X32,c_union(c_insert(X33,c_emptyset,tc_set(X29)),X34,tc_set(X29)),tc_set(X29))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X28,X29),tc_set(X29)),X30,tc_set(tc_set(tc_set(X29)))),c_union(c_insert(X33,c_emptyset,tc_set(X29)),X34,tc_set(X29)),tc_set(X29)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X28,X29),tc_set(X29)),X30,tc_set(tc_set(tc_set(X29)))),tc_set(tc_set(X29)))
| c_in(X32,X31,tc_set(X29))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Ochain(X28,X29),tc_set(X29)),X30,tc_set(tc_set(tc_set(tc_set(X29)))))
| c_in(c_Zorn_Ochain__extend__1(X34,X33,X29),X34,tc_set(X29))
| ~ c_in(X34,c_Zorn_Ochain(X28,X29),tc_set(tc_set(X29)))
| ~ c_in(X33,X28,tc_set(X29)) ),
inference(resolution,[],[f365,f5]) ).
fof(f1706,plain,
! [X21,X18,X19,X24,X22,X23,X20] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X18,X19),tc_set(X19)),X20,tc_set(tc_set(tc_set(X19)))),X21,tc_set(X19)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X18,X19),tc_set(X19)),X20,tc_set(tc_set(tc_set(X19)))),tc_set(tc_set(X19)))
| ~ c_in(X22,c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X18,X19),X23,tc_set(X19)),tc_set(X19))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X18,X19),tc_set(X19)),X20,tc_set(tc_set(tc_set(X19)))),c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X18,X19),X23,tc_set(X19)),tc_set(X19)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X18,X19),tc_set(X19)),X20,tc_set(tc_set(tc_set(X19)))),tc_set(tc_set(X19)))
| c_in(X22,X21,tc_set(X19))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Ochain(X18,X19),tc_set(X19)),X20,tc_set(tc_set(tc_set(tc_set(X19)))))
| c_in(c_union(c_insert(X23,c_emptyset,tc_set(tc_set(X19))),c_Zorn_Omaxchain(X18,X19),tc_set(tc_set(X19))),c_Zorn_Ochain(X24,tc_set(X19)),tc_set(tc_set(tc_set(X19))))
| ~ c_in(X23,X24,tc_set(tc_set(X19)))
| ~ c_in(c_Zorn_Omaxchain(X18,X19),c_Zorn_Ochain(X24,tc_set(X19)),tc_set(tc_set(tc_set(X19)))) ),
inference(resolution,[],[f365,f63]) ).
fof(f1705,plain,
! [X16,X14,X17,X15,X13] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X13,t_a),X14,tc_set(tc_set(t_a))),X15,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X13,t_a),X14,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X16,c_Zorn_Ochain__extend__1(X13,X17,t_a),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X13,t_a),X14,tc_set(tc_set(t_a))),c_Zorn_Ochain__extend__1(X13,X17,t_a),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X13,t_a),X14,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(X16,X15,t_a)
| c_lessequals(c_Zorn_Omaxchain(X13,t_a),X14,tc_set(tc_set(tc_set(t_a))))
| c_in(v_x(c_union(c_insert(X17,c_emptyset,tc_set(t_a)),X13,tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X17,v_S,tc_set(t_a))
| ~ c_in(X13,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f365,f58]) ).
fof(f1704,plain,
! [X10,X11,X8,X6,X9,X7,X12] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X6,X7),X8,tc_set(tc_set(X7))),X9,X7),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X6,X7),X8,tc_set(tc_set(X7))),tc_set(X7))
| ~ c_in(X10,c_Zorn_Ochain__extend__1(X6,X11,X7),X7)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X6,X7),X8,tc_set(tc_set(X7))),c_Zorn_Ochain__extend__1(X6,X11,X7),X7),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X6,X7),X8,tc_set(tc_set(X7))),tc_set(X7))
| c_in(X10,X9,X7)
| c_lessequals(c_Zorn_Omaxchain(X6,X7),X8,tc_set(tc_set(tc_set(X7))))
| c_in(c_union(c_insert(X11,c_emptyset,tc_set(X7)),X6,tc_set(X7)),c_Zorn_Ochain(X12,X7),tc_set(tc_set(X7)))
| ~ c_in(X6,c_Zorn_Ochain(X12,X7),tc_set(tc_set(X7)))
| ~ c_in(X11,X12,tc_set(X7)) ),
inference(resolution,[],[f365,f5]) ).
fof(f1703,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X0,X1),tc_set(X1)),X2,tc_set(tc_set(tc_set(X1)))),X3,tc_set(X1)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X0,X1),tc_set(X1)),X2,tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1)))
| ~ c_in(X4,c_Main_OsubsetI__1(c_Zorn_Omaxchain(X0,X1),X5,tc_set(tc_set(X1))),tc_set(X1))
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X0,X1),tc_set(X1)),X2,tc_set(tc_set(tc_set(X1)))),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X0,X1),X5,tc_set(tc_set(X1))),tc_set(X1)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(c_Zorn_Ochain(X0,X1),tc_set(X1)),X2,tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1)))
| c_in(X4,X3,tc_set(X1))
| c_lessequals(c_Zorn_Omaxchain(c_Zorn_Ochain(X0,X1),tc_set(X1)),X2,tc_set(tc_set(tc_set(tc_set(X1)))))
| c_lessequals(c_Zorn_Omaxchain(X0,X1),X5,tc_set(tc_set(tc_set(X1)))) ),
inference(resolution,[],[f365,f33]) ).
fof(f365,plain,
! [X16,X14,X17,X15,X12,X13] :
( ~ c_in(X17,X15,tc_set(X14))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(X14))),X13,X14),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(X14))),tc_set(X14))
| ~ c_in(X12,X17,X14)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(X14))),X17,X14),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(X14))),tc_set(X14))
| c_in(X12,X13,X14)
| c_lessequals(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(tc_set(X14)))) ),
inference(resolution,[],[f129,f3]) ).
fof(f1150,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1148,plain,
( spl0_46
<=> c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1662,plain,
! [X26,X24,X25] :
( ~ c_in(X24,v_xa(c_Main_OsubsetI__1(v_S,X25,tc_set(t_a))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(c_Main_OsubsetI__1(v_S,X25,tc_set(t_a))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X24,X26,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X26,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(v_S,X25,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1112,f3]) ).
fof(f1661,plain,
! [X21,X22,X23] :
( ~ c_in(X21,v_xa(v_xa(X22)),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(X22)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X21,X23,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X23,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X22,v_S,tc_set(t_a)) ),
inference(resolution,[],[f1112,f12]) ).
fof(f1659,plain,
! [X18,X16,X17,X15] :
( ~ c_in(X15,v_xa(v_x(c_union(c_insert(X16,c_emptyset,tc_set(t_a)),X17,tc_set(t_a)))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_union(c_insert(X16,c_emptyset,tc_set(t_a)),X17,tc_set(t_a)))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X15,X18,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X18,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(X17,X16,t_a),X17,tc_set(t_a))
| ~ c_in(X16,v_S,tc_set(t_a))
| ~ c_in(X17,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1112,f58]) ).
fof(f1658,plain,
! [X14,X12,X13] :
( ~ c_in(X12,v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X13,tc_set(tc_set(t_a))))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X13,tc_set(tc_set(t_a))))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X12,X14,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X14,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X13,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f1112,f334]) ).
fof(f1657,plain,
! [X10,X11,X9] :
( ~ c_in(X9,v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X10,tc_set(tc_set(t_a))))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X10,tc_set(tc_set(t_a))))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X9,X11,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X11,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X10,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f1112,f18]) ).
fof(f1655,plain,
! [X3,X6,X4,X5] :
( ~ c_in(X3,v_xa(c_Zorn_Ochain__extend__1(v_S,X4,t_a)),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(c_Zorn_Ochain__extend__1(v_S,X4,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X3,X5,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_S,c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X4,X6,tc_set(t_a)) ),
inference(resolution,[],[f1112,f5]) ).
fof(f1653,plain,
! [X10,X11,X9,X12,X13] :
( c_in(X9,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X10,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X9,X11,t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X12,t_a),X13,tc_set(tc_set(t_a))),X11,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X12,t_a),X13,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X11,X12,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(X12,t_a),X13,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X10,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X12,t_a),X13,tc_set(tc_set(t_a))),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X10,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X10,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f404,f333]) ).
fof(f1652,plain,
! [X8,X6,X7,X4,X5] :
( c_in(X4,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X4,X6,t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X7,t_a),X8,tc_set(tc_set(t_a))),X6,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X7,t_a),X8,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X6,X7,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(X7,t_a),X8,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X7,t_a),X8,tc_set(tc_set(t_a))),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f404,f28]) ).
fof(f1651,plain,
! [X2,X3,X0,X1] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,X1,t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X2,t_a),X3,tc_set(tc_set(t_a))),X1,t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X2,t_a),X3,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X1,X2,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(X2,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X2,t_a),X3,tc_set(tc_set(t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f404,f34]) ).
fof(f404,plain,
! [X16,X14,X17,X15,X12,X13] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(X14))),X13,X14),X13,tc_set(X14))
| c_in(X12,X13,X14)
| ~ c_in(X12,X17,X14)
| c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(X14))),X17,X14),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(X14))),tc_set(X14))
| ~ c_in(X17,X15,tc_set(X14))
| c_lessequals(c_Zorn_Omaxchain(X15,X14),X16,tc_set(tc_set(tc_set(X14)))) ),
inference(resolution,[],[f171,f3]) ).
fof(f1525,plain,
! [X10,X11,X9] :
( ~ c_in(X9,v_S,tc_set(t_a))
| ~ c_in(X10,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X10,X9,t_a),X10,tc_set(t_a))
| c_in(v_x(c_union(c_insert(X11,c_emptyset,tc_set(t_a)),c_union(c_insert(X9,c_emptyset,tc_set(t_a)),X10,tc_set(t_a)),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X11,v_S,tc_set(t_a))
| v_x(c_union(c_insert(X9,c_emptyset,tc_set(t_a)),X10,tc_set(t_a))) = c_Zorn_Ochain__extend__1(c_union(c_insert(X9,c_emptyset,tc_set(t_a)),X10,tc_set(t_a)),X11,t_a)
| ~ c_lessequals(v_x(c_union(c_insert(X9,c_emptyset,tc_set(t_a)),X10,tc_set(t_a))),c_Zorn_Ochain__extend__1(c_union(c_insert(X9,c_emptyset,tc_set(t_a)),X10,tc_set(t_a)),X11,t_a),tc_set(t_a)) ),
inference(resolution,[],[f326,f1]) ).
fof(f1524,plain,
! [X8,X6,X7,X5] :
( ~ c_in(X5,v_S,tc_set(t_a))
| ~ c_in(X6,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X6,X5,t_a),X6,tc_set(t_a))
| c_in(v_x(c_union(c_insert(X7,c_emptyset,tc_set(t_a)),c_union(c_insert(X5,c_emptyset,tc_set(t_a)),X6,tc_set(t_a)),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X7,v_S,tc_set(t_a))
| c_in(X8,v_x(c_union(c_insert(X5,c_emptyset,tc_set(t_a)),X6,tc_set(t_a))),t_a)
| ~ c_in(X8,c_Zorn_Ochain__extend__1(c_union(c_insert(X5,c_emptyset,tc_set(t_a)),X6,tc_set(t_a)),X7,t_a),t_a) ),
inference(resolution,[],[f326,f2]) ).
fof(f1527,plain,
! [X2,X3,X4] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(X3,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X3,X2,t_a),X3,tc_set(t_a))
| c_in(v_x(c_union(c_insert(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),c_emptyset,tc_set(t_a)),c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),X4,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),c_emptyset,tc_set(t_a)),c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X4,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f1526,f58]) ).
fof(f1526,plain,
! [X2,X3,X4] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(X3,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X3,X2,t_a),X3,tc_set(t_a))
| c_in(v_x(c_union(c_insert(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),c_emptyset,tc_set(t_a)),c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),X4,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),c_emptyset,tc_set(t_a)),c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X4,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f1523]) ).
fof(f1523,plain,
! [X2,X3,X4] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(X3,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X3,X2,t_a),X3,tc_set(t_a))
| c_in(v_x(c_union(c_insert(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),c_emptyset,tc_set(t_a)),c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),X4,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),c_emptyset,tc_set(t_a)),c_union(c_insert(X2,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X3,X2,t_a),X3,tc_set(t_a))
| ~ c_in(X3,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X4,tc_set(t_a)) ),
inference(resolution,[],[f326,f93]) ).
fof(f326,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_Ochain__extend__1(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),X2,t_a),v_x(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a))),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,tc_set(t_a))
| c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f323,f5]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),X2,t_a),v_x(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a))),tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,tc_set(t_a))
| c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f57,f58]) ).
fof(f1455,plain,
! [X10,X11,X14,X15,X12,X13] :
( c_in(c_union(c_insert(X10,c_emptyset,tc_set(tc_set(X11))),c_Zorn_Omaxchain(X12,X11),tc_set(tc_set(X11))),c_Zorn_Ochain(X13,tc_set(X11)),tc_set(tc_set(tc_set(X11))))
| ~ c_in(X10,X13,tc_set(tc_set(X11)))
| ~ c_in(c_Zorn_Omaxchain(X12,X11),c_Zorn_Ochain(X13,tc_set(X11)),tc_set(tc_set(tc_set(X11))))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X12,X11),tc_set(X11)),X14,tc_set(X11)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X12,X11),tc_set(X11)),tc_set(tc_set(X11)))
| ~ c_in(X15,c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X12,X11),X10,tc_set(X11)),tc_set(X11))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X12,X11),tc_set(X11)),c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X12,X11),X10,tc_set(X11)),tc_set(X11)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X12,X11),tc_set(X11)),tc_set(tc_set(X11)))
| c_in(X15,X14,tc_set(X11)) ),
inference(resolution,[],[f63,f364]) ).
fof(f1454,plain,
! [X8,X6,X9,X7,X5] :
( c_in(c_union(c_insert(X5,c_emptyset,tc_set(tc_set(X6))),c_Zorn_Omaxchain(X7,X6),tc_set(tc_set(X6))),c_Zorn_Ochain(X8,tc_set(X6)),tc_set(tc_set(tc_set(X6))))
| ~ c_in(X5,X8,tc_set(tc_set(X6)))
| ~ c_in(c_Zorn_Omaxchain(X7,X6),c_Zorn_Ochain(X8,tc_set(X6)),tc_set(tc_set(tc_set(X6))))
| ~ c_in(X9,X7,tc_set(X6))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X7,X6),X5,tc_set(X6)),X9,X6),X9,tc_set(X6))
| c_in(c_union(c_insert(X9,c_emptyset,tc_set(X6)),c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X7,X6),X5,tc_set(X6)),tc_set(X6)),c_Zorn_Ochain(X7,X6),tc_set(tc_set(X6))) ),
inference(resolution,[],[f63,f6]) ).
fof(f1453,plain,
! [X3,X4] :
( c_in(c_union(c_insert(X3,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),c_Zorn_Ochain(X4,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X3,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Omaxchain(v_S,t_a),c_Zorn_Ochain(X4,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f63,f11]) ).
fof(f1452,plain,
! [X2,X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),c_Zorn_Ochain(X1,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X0,X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Omaxchain(v_S,t_a),c_Zorn_Ochain(X1,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X2,v_x(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(t_a))),tc_set(t_a))
| ~ c_in(X2,c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f63,f15]) ).
fof(f1451,plain,
! [X21,X18,X19,X17,X22,X20] :
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X17,X18),X19,tc_set(X18)),c_Zorn_Ochain(X17,X18),tc_set(tc_set(X18)))
| ~ c_in(X19,X20,tc_set(tc_set(X18)))
| ~ c_in(c_Zorn_Omaxchain(X17,X18),c_Zorn_Ochain(X20,tc_set(X18)),tc_set(tc_set(tc_set(X18))))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X20,tc_set(X18)),tc_set(tc_set(X18))),X21,tc_set(tc_set(X18))),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X20,tc_set(X18)),tc_set(tc_set(X18))),tc_set(tc_set(tc_set(X18))))
| ~ c_in(X22,c_union(c_insert(X19,c_emptyset,tc_set(tc_set(X18))),c_Zorn_Omaxchain(X17,X18),tc_set(tc_set(X18))),tc_set(tc_set(X18)))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X20,tc_set(X18)),tc_set(tc_set(X18))),c_union(c_insert(X19,c_emptyset,tc_set(tc_set(X18))),c_Zorn_Omaxchain(X17,X18),tc_set(tc_set(X18))),tc_set(tc_set(X18))),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X20,tc_set(X18)),tc_set(tc_set(X18))),tc_set(tc_set(tc_set(X18))))
| c_in(X22,X21,tc_set(tc_set(X18))) ),
inference(resolution,[],[f63,f364]) ).
fof(f1450,plain,
! [X16,X14,X15,X12,X13] :
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X12,X13),X14,tc_set(X13)),c_Zorn_Ochain(X12,X13),tc_set(tc_set(X13)))
| ~ c_in(X14,X15,tc_set(tc_set(X13)))
| ~ c_in(c_Zorn_Omaxchain(X12,X13),c_Zorn_Ochain(X15,tc_set(X13)),tc_set(tc_set(tc_set(X13))))
| ~ c_in(X16,X15,tc_set(tc_set(X13)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_union(c_insert(X14,c_emptyset,tc_set(tc_set(X13))),c_Zorn_Omaxchain(X12,X13),tc_set(tc_set(X13))),X16,tc_set(X13)),X16,tc_set(tc_set(X13)))
| c_in(c_union(c_insert(X16,c_emptyset,tc_set(tc_set(X13))),c_union(c_insert(X14,c_emptyset,tc_set(tc_set(X13))),c_Zorn_Omaxchain(X12,X13),tc_set(tc_set(X13))),tc_set(tc_set(X13))),c_Zorn_Ochain(X15,tc_set(X13)),tc_set(tc_set(tc_set(X13)))) ),
inference(resolution,[],[f63,f6]) ).
fof(f1457,plain,
! [X10,X11,X8,X6,X9,X7] :
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X6,X7),X8,tc_set(X7)),c_Zorn_Ochain(X6,X7),tc_set(tc_set(X7)))
| ~ c_in(X8,X9,tc_set(tc_set(X7)))
| c_in(X10,X11,tc_set(X7))
| ~ c_in(c_Zorn_Omaxchain(X6,X7),c_Zorn_Omaxchain(X9,tc_set(X7)),tc_set(tc_set(tc_set(X7))))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Omaxchain(X6,X7),X11,tc_set(X7)),c_Zorn_Omaxchain(X6,X7),tc_set(tc_set(X7)))
| ~ c_in(X10,X8,tc_set(X7)) ),
inference(subsumption_resolution,[],[f1449,f27]) ).
fof(f1449,plain,
! [X10,X11,X8,X6,X9,X7] :
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X6,X7),X8,tc_set(X7)),c_Zorn_Ochain(X6,X7),tc_set(tc_set(X7)))
| ~ c_in(X8,X9,tc_set(tc_set(X7)))
| ~ c_in(c_Zorn_Omaxchain(X6,X7),c_Zorn_Ochain(X9,tc_set(X7)),tc_set(tc_set(tc_set(X7))))
| c_in(X10,X11,tc_set(X7))
| ~ c_in(c_Zorn_Omaxchain(X6,X7),c_Zorn_Omaxchain(X9,tc_set(X7)),tc_set(tc_set(tc_set(X7))))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Omaxchain(X6,X7),X11,tc_set(X7)),c_Zorn_Omaxchain(X6,X7),tc_set(tc_set(X7)))
| ~ c_in(X10,X8,tc_set(X7)) ),
inference(resolution,[],[f63,f9]) ).
fof(f1456,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X0,X1),X2,tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1)))
| ~ c_in(X2,X3,tc_set(tc_set(X1)))
| c_in(X4,X5,tc_set(X1))
| ~ c_in(c_Zorn_Omaxchain(X0,X1),c_Zorn_Omaxchain(X3,tc_set(X1)),tc_set(tc_set(tc_set(X1))))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Omaxchain(X0,X1),X5,tc_set(X1)),X5,tc_set(tc_set(X1)))
| ~ c_in(X4,X2,tc_set(X1)) ),
inference(subsumption_resolution,[],[f1448,f27]) ).
fof(f1448,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X0,X1),X2,tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1)))
| ~ c_in(X2,X3,tc_set(tc_set(X1)))
| ~ c_in(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X3,tc_set(X1)),tc_set(tc_set(tc_set(X1))))
| c_in(X4,X5,tc_set(X1))
| ~ c_in(c_Zorn_Omaxchain(X0,X1),c_Zorn_Omaxchain(X3,tc_set(X1)),tc_set(tc_set(tc_set(X1))))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Omaxchain(X0,X1),X5,tc_set(X1)),X5,tc_set(tc_set(X1)))
| ~ c_in(X4,X2,tc_set(X1)) ),
inference(resolution,[],[f63,f10]) ).
fof(f63,plain,
! [X10,X11,X12,X13] :
( c_in(c_union(c_insert(X10,c_emptyset,tc_set(tc_set(X11))),c_Zorn_Omaxchain(X12,X11),tc_set(tc_set(X11))),c_Zorn_Ochain(X13,tc_set(X11)),tc_set(tc_set(tc_set(X11))))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X12,X11),X10,tc_set(X11)),c_Zorn_Ochain(X12,X11),tc_set(tc_set(X11)))
| ~ c_in(X10,X13,tc_set(tc_set(X11)))
| ~ c_in(c_Zorn_Omaxchain(X12,X11),c_Zorn_Ochain(X13,tc_set(X11)),tc_set(tc_set(tc_set(X11)))) ),
inference(resolution,[],[f5,f27]) ).
fof(f1405,plain,
! [X6,X7,X5] :
( ~ c_in(X5,X6,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X5,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X5,t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),X6,tc_set(t_a))
| ~ c_in(v_S,c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| c_in(c_union(c_insert(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),c_emptyset,tc_set(t_a)),c_union(c_insert(X5,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain__extend__1(c_union(c_insert(X5,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f286,f333]) ).
fof(f1404,plain,
! [X2,X3,X4] :
( ~ c_in(X2,X3,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X2,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X2,t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))),X3,tc_set(t_a))
| ~ c_in(v_S,c_Zorn_Ochain(X3,t_a),tc_set(tc_set(t_a)))
| c_in(c_union(c_insert(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))),c_emptyset,tc_set(t_a)),c_union(c_insert(X2,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X3,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Ochain__extend__1(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f286,f28]) ).
fof(f1403,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X0,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X0,t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X1,tc_set(t_a))
| ~ c_in(v_S,c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| c_in(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Ochain__extend__1(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f286,f34]) ).
fof(f286,plain,
! [X11,X12,X13] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_union(c_insert(X12,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),X13,t_a),X13,tc_set(t_a))
| ~ c_in(X12,X11,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X12,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X12,t_a))
| ~ c_in(X13,X11,tc_set(t_a))
| ~ c_in(v_S,c_Zorn_Ochain(X11,t_a),tc_set(tc_set(t_a)))
| c_in(c_union(c_insert(X13,c_emptyset,tc_set(t_a)),c_union(c_insert(X12,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X11,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f60,f6]) ).
fof(f1375,plain,
! [X6,X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(X5,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X5,X4,t_a),X5,tc_set(t_a))
| c_lessequals(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X5,tc_set(t_a)),X6,tc_set(tc_set(t_a)))
| v_x(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X5,tc_set(t_a))) = c_Main_OsubsetI__1(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X5,tc_set(t_a)),X6,tc_set(t_a))
| ~ c_lessequals(v_x(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X5,tc_set(t_a))),c_Main_OsubsetI__1(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X5,tc_set(t_a)),X6,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f325,f1]) ).
fof(f1374,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,tc_set(t_a))
| c_lessequals(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)),X2,tc_set(tc_set(t_a)))
| c_in(X3,v_x(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a))),t_a)
| ~ c_in(X3,c_Main_OsubsetI__1(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)),X2,tc_set(t_a)),t_a) ),
inference(resolution,[],[f325,f2]) ).
fof(f325,plain,
! [X8,X9,X7] :
( c_lessequals(c_Main_OsubsetI__1(c_union(c_insert(X8,c_emptyset,tc_set(t_a)),X7,tc_set(t_a)),X9,tc_set(t_a)),v_x(c_union(c_insert(X8,c_emptyset,tc_set(t_a)),X7,tc_set(t_a))),tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a))
| ~ c_in(X7,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X7,X8,t_a),X7,tc_set(t_a))
| c_lessequals(c_union(c_insert(X8,c_emptyset,tc_set(t_a)),X7,tc_set(t_a)),X9,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f57,f3]) ).
fof(f462,plain,
! [X6,X7,X4,X5] :
( ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(X4,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(t_a))),v_S,tc_set(t_a))
| c_in(X6,X7,tc_set(t_a))
| ~ c_in(X5,X4,tc_set(tc_set(t_a)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X6,X5,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f459,f27]) ).
fof(f459,plain,
! [X6,X7,X4,X5] :
( ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Ochain(X4,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X5,X4,tc_set(tc_set(t_a)))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(t_a))),v_S,tc_set(t_a))
| c_in(X6,X7,tc_set(t_a))
| ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(X4,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X6,X5,tc_set(t_a)) ),
inference(resolution,[],[f62,f9]) ).
fof(f1311,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1307]) ).
fof(f1307,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f802]) ).
fof(f1312,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1306]) ).
fof(f1306,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f639]) ).
fof(f1313,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1305]) ).
fof(f1305,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f482]) ).
fof(f1314,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1304]) ).
fof(f1304,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f359]) ).
fof(f1315,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1303]) ).
fof(f1303,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f278]) ).
fof(f1316,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1302]) ).
fof(f1302,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f218]) ).
fof(f1317,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1301]) ).
fof(f1301,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f161]) ).
fof(f1318,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1300]) ).
fof(f1300,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f112]) ).
fof(f1319,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1299]) ).
fof(f1299,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f78]) ).
fof(f1211,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,tc_set(t_a)) )
| ~ spl0_46 ),
inference(resolution,[],[f1164,f3]) ).
fof(f1164,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_46 ),
inference(resolution,[],[f1150,f2]) ).
fof(f461,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(X0,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(t_a))),v_S,tc_set(t_a))
| c_in(X2,X3,tc_set(t_a))
| ~ c_in(X1,X0,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(t_a)),X3,tc_set(tc_set(t_a)))
| ~ c_in(X2,X1,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f458,f27]) ).
fof(f458,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Ochain(X0,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X1,X0,tc_set(tc_set(t_a)))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(t_a))),v_S,tc_set(t_a))
| c_in(X2,X3,tc_set(t_a))
| ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Omaxchain(X0,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(t_a)),X3,tc_set(tc_set(t_a)))
| ~ c_in(X2,X1,tc_set(t_a)) ),
inference(resolution,[],[f62,f10]) ).
fof(f1165,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),tc_set(t_a))
| ~ spl0_46 ),
inference(resolution,[],[f1150,f1]) ).
fof(f1108,plain,
( ! [X42,X43] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X42,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X43,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X43,X42,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f364,f39]) ).
fof(f1113,plain,
! [X58,X59,X57,X60,X61] :
( ~ c_in(X60,c_Main_OsubsetI__1(X57,X61,tc_set(X58)),X58)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X57,X58),X59,X58),c_Zorn_OHausdorff__1(X57,X58),tc_set(X58))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X57,X58),c_Main_OsubsetI__1(X57,X61,tc_set(X58)),X58),c_Zorn_OHausdorff__1(X57,X58),tc_set(X58))
| c_in(X60,X59,X58)
| c_lessequals(X57,X61,tc_set(tc_set(X58))) ),
inference(resolution,[],[f364,f3]) ).
fof(f1111,plain,
! [X50,X51,X52,X53] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X50,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X51,v_x(c_union(c_insert(X52,c_emptyset,tc_set(t_a)),X53,tc_set(t_a))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_union(c_insert(X52,c_emptyset,tc_set(t_a)),X53,tc_set(t_a))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X51,X50,t_a)
| c_in(c_Zorn_Ochain__extend__1(X53,X52,t_a),X53,tc_set(t_a))
| ~ c_in(X52,v_S,tc_set(t_a))
| ~ c_in(X53,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f364,f58]) ).
fof(f1110,plain,
! [X48,X49,X47] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X47,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X48,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X49,tc_set(tc_set(t_a)))),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X49,tc_set(tc_set(t_a)))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X48,X47,t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X49,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f364,f334]) ).
fof(f1109,plain,
! [X46,X44,X45] :
( ~ c_in(X45,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X46,tc_set(tc_set(t_a)))),t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X44,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X46,tc_set(tc_set(t_a)))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X45,X44,t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X46,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f364,f18]) ).
fof(f1107,plain,
! [X40,X38,X41,X39] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X38,X39),tc_set(X39)),X40,tc_set(X39)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X38,X39),tc_set(X39)),tc_set(tc_set(X39)))
| ~ c_in(X41,c_Zorn_OHausdorff__1(X38,X39),tc_set(X39))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X38,X39),tc_set(X39)),c_Zorn_OHausdorff__1(X38,X39),tc_set(X39)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X38,X39),tc_set(X39)),tc_set(tc_set(X39)))
| c_in(X41,X40,tc_set(X39)) ),
inference(resolution,[],[f364,f32]) ).
fof(f1106,plain,
! [X36,X37,X34,X35] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Omaxchain(X34,X35),tc_set(X35)),X36,tc_set(X35)),c_Zorn_OHausdorff__1(c_Zorn_Omaxchain(X34,X35),tc_set(X35)),tc_set(tc_set(X35)))
| ~ c_in(X37,c_Zorn_OHausdorff__1(X34,X35),tc_set(X35))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Omaxchain(X34,X35),tc_set(X35)),c_Zorn_OHausdorff__1(X34,X35),tc_set(X35)),c_Zorn_OHausdorff__1(c_Zorn_Omaxchain(X34,X35),tc_set(X35)),tc_set(tc_set(X35)))
| c_in(X37,X36,tc_set(X35)) ),
inference(resolution,[],[f364,f7]) ).
fof(f1105,plain,
! [X31,X32,X30,X33] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X30,tc_set(t_a)),tc_set(tc_set(t_a))),X31,tc_set(tc_set(t_a))),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X30,tc_set(t_a)),tc_set(tc_set(t_a))),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X32,c_union(c_insert(X33,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X30,tc_set(t_a)),tc_set(tc_set(t_a))),c_union(c_insert(X33,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X30,tc_set(t_a)),tc_set(tc_set(t_a))),tc_set(tc_set(tc_set(t_a))))
| c_in(X32,X31,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Ochain(X30,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X33,X30,tc_set(tc_set(t_a)))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X33,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f364,f62]) ).
fof(f1104,plain,
! [X28,X29,X26,X27] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X26,t_a),tc_set(t_a)),X27,tc_set(t_a)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X26,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(X28,c_union(c_insert(X29,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X26,t_a),tc_set(t_a)),c_union(c_insert(X29,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X26,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))
| c_in(X28,X27,tc_set(t_a))
| ~ c_in(v_S,c_Zorn_Ochain(X26,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X29,X26,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X29,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X29,t_a)) ),
inference(resolution,[],[f364,f60]) ).
fof(f1103,plain,
! [X21,X24,X22,X25,X23] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X21,t_a),tc_set(t_a)),X22,tc_set(t_a)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X21,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_in(X23,c_union(c_insert(X24,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X21,t_a),tc_set(t_a)),c_union(c_insert(X24,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X21,t_a),tc_set(t_a)),tc_set(tc_set(t_a)))
| c_in(X23,X22,tc_set(t_a))
| c_in(X25,v_xa(c_Zorn_Ochain__extend__1(v_S,X24,t_a)),t_a)
| ~ c_in(X24,X21,tc_set(t_a))
| ~ c_in(X25,c_Zorn_Ochain__extend__1(v_S,X24,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X21,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f364,f59]) ).
fof(f1102,plain,
! [X18,X19,X16,X17,X15,X20] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X15,X16),tc_set(X16)),X17,tc_set(X16)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X15,X16),tc_set(X16)),tc_set(tc_set(X16)))
| ~ c_in(X18,c_union(c_insert(X19,c_emptyset,tc_set(X16)),X20,tc_set(X16)),tc_set(X16))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X15,X16),tc_set(X16)),c_union(c_insert(X19,c_emptyset,tc_set(X16)),X20,tc_set(X16)),tc_set(X16)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X15,X16),tc_set(X16)),tc_set(tc_set(X16)))
| c_in(X18,X17,tc_set(X16))
| c_in(c_Zorn_Ochain__extend__1(X20,X19,X16),X20,tc_set(X16))
| ~ c_in(X20,c_Zorn_Ochain(X15,X16),tc_set(tc_set(X16)))
| ~ c_in(X19,X15,tc_set(X16)) ),
inference(resolution,[],[f364,f5]) ).
fof(f1101,plain,
! [X11,X14,X12,X13] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X11,t_a),X12,t_a),c_Zorn_OHausdorff__1(X11,t_a),tc_set(t_a))
| ~ c_in(X13,c_Zorn_Ochain__extend__1(X11,X14,t_a),t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X11,t_a),c_Zorn_Ochain__extend__1(X11,X14,t_a),t_a),c_Zorn_OHausdorff__1(X11,t_a),tc_set(t_a))
| c_in(X13,X12,t_a)
| c_in(v_x(c_union(c_insert(X14,c_emptyset,tc_set(t_a)),X11,tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X14,v_S,tc_set(t_a))
| ~ c_in(X11,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f364,f58]) ).
fof(f1100,plain,
! [X10,X8,X6,X9,X7,X5] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X5,X6),X7,X6),c_Zorn_OHausdorff__1(X5,X6),tc_set(X6))
| ~ c_in(X8,c_Zorn_Ochain__extend__1(X5,X9,X6),X6)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X5,X6),c_Zorn_Ochain__extend__1(X5,X9,X6),X6),c_Zorn_OHausdorff__1(X5,X6),tc_set(X6))
| c_in(X8,X7,X6)
| c_in(c_union(c_insert(X9,c_emptyset,tc_set(X6)),X5,tc_set(X6)),c_Zorn_Ochain(X10,X6),tc_set(tc_set(X6)))
| ~ c_in(X5,c_Zorn_Ochain(X10,X6),tc_set(tc_set(X6)))
| ~ c_in(X9,X10,tc_set(X6)) ),
inference(resolution,[],[f364,f5]) ).
fof(f1099,plain,
! [X2,X3,X0,X1,X4] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X0,X1),tc_set(X1)),X2,tc_set(X1)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X0,X1),tc_set(X1)),tc_set(tc_set(X1)))
| ~ c_in(X3,c_Main_OsubsetI__1(c_Zorn_Omaxchain(X0,X1),X4,tc_set(tc_set(X1))),tc_set(X1))
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(c_Zorn_Ochain(X0,X1),tc_set(X1)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X0,X1),X4,tc_set(tc_set(X1))),tc_set(X1)),c_Zorn_OHausdorff__1(c_Zorn_Ochain(X0,X1),tc_set(X1)),tc_set(tc_set(X1)))
| c_in(X3,X2,tc_set(X1))
| c_lessequals(c_Zorn_Omaxchain(X0,X1),X4,tc_set(tc_set(tc_set(X1)))) ),
inference(resolution,[],[f364,f33]) ).
fof(f1082,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1080,f1]) ).
fof(f520,plain,
( ! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a))
| v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f507,f1]) ).
fof(f1092,plain,
! [X18,X19] :
( c_lessequals(v_S,X18,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X18,tc_set(t_a)))))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X18,tc_set(t_a)),t_a)
| c_lessequals(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X18,tc_set(t_a)))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X18,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f801]) ).
fof(f1091,plain,
! [X16,X17] :
( c_lessequals(v_S,X16,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)),t_a)
| c_lessequals(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f638]) ).
fof(f1090,plain,
! [X14,X15] :
( c_lessequals(v_S,X14,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a)))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X14,tc_set(t_a)),t_a)
| c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f481]) ).
fof(f1089,plain,
! [X12,X13] :
( c_lessequals(v_S,X12,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)),t_a)
| c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f358]) ).
fof(f1088,plain,
! [X10,X11] :
( c_lessequals(v_S,X10,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f277]) ).
fof(f1098,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f910,f203,f948,f949,f950,f801,f990,f991,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f997,f403,f1035,f1036,f1037,f238,f1078,f443,f1080,f1082,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087]) ).
fof(f1087,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f217]) ).
fof(f1097,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f910,f203,f948,f949,f950,f801,f990,f991,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f997,f403,f1035,f1036,f1037,f238,f1078,f443,f1080,f1082,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086]) ).
fof(f1086,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f160]) ).
fof(f1096,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f910,f203,f948,f949,f950,f801,f990,f991,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f997,f403,f1035,f1036,f1037,f238,f1078,f443,f1080,f1082,f1081,f1083,f1094,f1084,f1095,f1085]) ).
fof(f1085,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f111]) ).
fof(f1095,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f910,f203,f948,f949,f950,f801,f990,f991,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f997,f403,f1035,f1036,f1037,f238,f1078,f443,f1080,f1082,f1081,f1083,f1094,f1084]) ).
fof(f1084,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f1081,f77]) ).
fof(f1094,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f910,f203,f948,f949,f950,f801,f990,f991,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f997,f403,f1035,f1036,f1037,f238,f1078,f443,f1080,f1082,f1081,f1083]) ).
fof(f1083,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))))),tc_set(t_a)) ),
inference(resolution,[],[f1081,f31]) ).
fof(f1081,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))))),t_a)
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a) ),
inference(resolution,[],[f1080,f2]) ).
fof(f1080,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f1079]) ).
fof(f1079,plain,
! [X0] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))))),tc_set(t_a)) ),
inference(resolution,[],[f443,f3]) ).
fof(f443,plain,
! [X6,X7] :
( ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f61,f62,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f338,f339,f83,f341,f344,f277,f358,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f432,f431,f433,f440,f434,f441,f435,f442,f436]) ).
fof(f1078,plain,
! [X2,X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a))),X2,t_a),v_xa(v_x(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)))),t_a)
| c_lessequals(v_x(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a))),X2,tc_set(t_a)) ),
inference(resolution,[],[f238,f3]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ c_in(X2,v_x(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a))),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,tc_set(t_a))
| c_in(X2,v_xa(v_x(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)))),t_a) ),
inference(resolution,[],[f58,f25]) ).
fof(f1040,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1039]) ).
fof(f1039,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f802,f3]) ).
fof(f802,plain,
( ! [X32] :
( ~ c_in(c_Main_OsubsetI__1(X32,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X32,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f791,f39]) ).
fof(f791,plain,
( ! [X32] :
( c_lessequals(X32,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X32,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f638,f41]) ).
fof(f1037,plain,
! [X10,X8,X9,X7] :
( c_in(X7,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X8,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X7,X9,t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X10,t_a),X9,t_a),c_Zorn_OHausdorff__1(X10,t_a),tc_set(t_a))
| ~ c_in(X9,X10,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X8,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X10,t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X8,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X8,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f403,f333]) ).
fof(f1036,plain,
! [X3,X6,X4,X5] :
( c_in(X3,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X3,X5,t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X6,t_a),X5,t_a),c_Zorn_OHausdorff__1(X6,t_a),tc_set(t_a))
| ~ c_in(X5,X6,tc_set(t_a))
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X6,t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f403,f28]) ).
fof(f1035,plain,
! [X2,X0,X1] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,X1,t_a)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X2,t_a),X1,t_a),c_Zorn_OHausdorff__1(X2,t_a),tc_set(t_a))
| ~ c_in(X1,X2,tc_set(t_a))
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X2,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f403,f34]) ).
fof(f403,plain,
! [X10,X11,X8,X9,X7] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X10,X9),X8,X9),X8,tc_set(X9))
| c_in(X7,X8,X9)
| ~ c_in(X7,X11,X9)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X10,X9),X11,X9),c_Zorn_OHausdorff__1(X10,X9),tc_set(X9))
| ~ c_in(X11,X10,tc_set(X9)) ),
inference(resolution,[],[f171,f7]) ).
fof(f1025,plain,
( ! [X9] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X9,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X9,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1022]) ).
fof(f1022,plain,
( ! [X9] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X9,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X9,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X9,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f530,f801]) ).
fof(f1026,plain,
( ! [X8] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1021]) ).
fof(f1021,plain,
( ! [X8] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f530,f638]) ).
fof(f1027,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1020]) ).
fof(f1020,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f530,f481]) ).
fof(f1028,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1019]) ).
fof(f1019,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f530,f358]) ).
fof(f1029,plain,
( ! [X5] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1018]) ).
fof(f1018,plain,
( ! [X5] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f530,f277]) ).
fof(f530,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f526,f3]) ).
fof(f997,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f983,f1]) ).
fof(f1012,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f1010,f3]) ).
fof(f1010,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f989,f2]) ).
fof(f1011,plain,
( ! [X2] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f989,f1]) ).
fof(f989,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f988,f39]) ).
fof(f988,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f951]) ).
fof(f951,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f801,f521]) ).
fof(f1007,plain,
! [X18,X19] :
( ~ c_in(X18,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X18))))))))))))))))))))),t_a),v_xa(X18),t_a)
| c_lessequals(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X18))))))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X18)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f801]) ).
fof(f1006,plain,
! [X16,X17] :
( ~ c_in(X16,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))))))))))))),t_a),v_xa(X16),t_a)
| c_lessequals(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f638]) ).
fof(f1005,plain,
! [X14,X15] :
( ~ c_in(X14,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))))))))))))),t_a),v_xa(X14),t_a)
| c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f481]) ).
fof(f1004,plain,
! [X12,X13] :
( ~ c_in(X12,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12)))))))))))))))))),t_a),v_xa(X12),t_a)
| c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12)))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f358]) ).
fof(f1003,plain,
! [X10,X11] :
( ~ c_in(X10,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10))))))))))))))))),t_a),v_xa(X10),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f277]) ).
fof(f1002,plain,
! [X8,X9] :
( ~ c_in(X8,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))))))))))))),t_a),v_xa(X8),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f217]) ).
fof(f1001,plain,
! [X6,X7] :
( ~ c_in(X6,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))))))))),t_a),v_xa(X6),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f160]) ).
fof(f1000,plain,
! [X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f111]) ).
fof(f999,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f996,f77]) ).
fof(f1009,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f910,f203,f948,f949,f950,f801,f990,f991,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f997,f996,f998]) ).
fof(f998,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))))),tc_set(t_a)) ),
inference(resolution,[],[f996,f31]) ).
fof(f996,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f983,f2]) ).
fof(f983,plain,
! [X49] :
( c_lessequals(v_xa(X49),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X49))))))))))),tc_set(t_a))
| ~ c_in(X49,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f982]) ).
fof(f982,plain,
! [X49] :
( c_lessequals(v_xa(X49),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X49))))))))))),tc_set(t_a))
| ~ c_in(X49,v_S,tc_set(t_a))
| c_lessequals(v_xa(X49),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X49))))))))))),tc_set(t_a)) ),
inference(resolution,[],[f801,f3]) ).
fof(f977,plain,
! [X44,X43] :
( c_lessequals(X43,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X44)))))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X44))))))))),v_S,tc_set(t_a))
| ~ c_in(X44,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X43,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X44)))))))))))))))))))),t_a),v_xa(X44),t_a) ),
inference(resolution,[],[f801,f806]) ).
fof(f976,plain,
! [X41,X42] :
( c_lessequals(X41,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X42))))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X42)))))))),v_S,tc_set(t_a))
| ~ c_in(X42,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X41,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X42))))))))))))))))))),t_a),v_xa(X42),t_a) ),
inference(resolution,[],[f801,f646]) ).
fof(f975,plain,
! [X40,X39] :
( c_lessequals(X39,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X40)))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X40))))))),v_S,tc_set(t_a))
| ~ c_in(X40,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X39,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X40)))))))))))))))))),t_a),v_xa(X40),t_a) ),
inference(resolution,[],[f801,f486]) ).
fof(f974,plain,
! [X38,X37] :
( c_lessequals(X37,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X38))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X38)))))),v_S,tc_set(t_a))
| ~ c_in(X38,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X37,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X38))))))))))))))))),t_a),v_xa(X38),t_a) ),
inference(resolution,[],[f801,f361]) ).
fof(f973,plain,
! [X36,X35] :
( c_lessequals(X35,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X36)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X36))))),v_S,tc_set(t_a))
| ~ c_in(X36,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X35,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X36)))))))))))))))),t_a),v_xa(X36),t_a) ),
inference(resolution,[],[f801,f280]) ).
fof(f971,plain,
! [X32,X33] :
( c_lessequals(X32,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X33,tc_set(t_a))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X33,tc_set(t_a)))))),v_S,tc_set(t_a))
| c_lessequals(v_S,X33,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X32,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X33,tc_set(t_a))))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X33,tc_set(t_a)),t_a) ),
inference(resolution,[],[f801,f909]) ).
fof(f970,plain,
! [X31,X30] :
( c_lessequals(X30,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X31))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X31)))),v_S,tc_set(t_a))
| ~ c_in(X31,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X30,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X31))))))))))))))),t_a),v_xa(X31),t_a) ),
inference(resolution,[],[f801,f220]) ).
fof(f968,plain,
! [X28,X27] :
( c_lessequals(X27,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X28,tc_set(t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X28,tc_set(t_a))))),v_S,tc_set(t_a))
| c_lessequals(v_S,X28,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X27,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X28,tc_set(t_a)))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X28,tc_set(t_a)),t_a) ),
inference(resolution,[],[f801,f736]) ).
fof(f967,plain,
! [X26,X25] :
( c_lessequals(X25,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X26)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X26))),v_S,tc_set(t_a))
| ~ c_in(X26,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X25,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X26)))))))))))))),t_a),v_xa(X26),t_a) ),
inference(resolution,[],[f801,f163]) ).
fof(f965,plain,
! [X22,X23] :
( c_lessequals(X22,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X23,tc_set(t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X23,tc_set(t_a)))),v_S,tc_set(t_a))
| c_lessequals(v_S,X23,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X22,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X23,tc_set(t_a))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X23,tc_set(t_a)),t_a) ),
inference(resolution,[],[f801,f579]) ).
fof(f964,plain,
! [X21,X20] :
( c_lessequals(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X21))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X21)),v_S,tc_set(t_a))
| ~ c_in(X21,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X21))))))))))))),t_a),v_xa(X21),t_a) ),
inference(resolution,[],[f801,f114]) ).
fof(f962,plain,
! [X18,X17] :
( c_lessequals(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X18,tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X18,tc_set(t_a))),v_S,tc_set(t_a))
| c_lessequals(v_S,X18,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X18,tc_set(t_a)))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X18,tc_set(t_a)),t_a) ),
inference(resolution,[],[f801,f431]) ).
fof(f995,plain,
! [X16,X15] :
( c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))))),t_a),v_xa(X16),t_a)
| ~ c_in(X16,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f961,f12]) ).
fof(f961,plain,
! [X16,X15] :
( c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(X16),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))))),t_a),v_xa(X16),t_a)
| ~ c_in(X16,v_S,tc_set(t_a)) ),
inference(resolution,[],[f801,f29]) ).
fof(f994,plain,
! [X14,X13] :
( c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(t_a))))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(t_a))))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f960,f334]) ).
fof(f960,plain,
! [X14,X13] :
( c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(t_a))))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X14,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f801,f338]) ).
fof(f993,plain,
! [X11,X12] :
( c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(t_a))))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(t_a))))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f959,f18]) ).
fof(f959,plain,
! [X11,X12] :
( c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(t_a))))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X12,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f801,f71]) ).
fof(f992,plain,
( ! [X10] :
( c_lessequals(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f958,f39]) ).
fof(f958,plain,
( ! [X10] :
( c_lessequals(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f801,f41]) ).
fof(f991,plain,
! [X8,X9,X7] :
( c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X8,t_a)))))))))))),tc_set(t_a))
| c_in(c_union(c_insert(X8,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X9,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X8,X9,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X8,t_a)))))))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X8,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X9,t_a),tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f957,f5]) ).
fof(f957,plain,
! [X8,X9,X7] :
( c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X8,t_a)))))))))))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X8,t_a),v_S,tc_set(t_a))
| c_in(c_union(c_insert(X8,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X9,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X8,X9,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X8,t_a)))))))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X8,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X9,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f801,f59]) ).
fof(f990,plain,
! [X6,X5] :
( c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(v_S,X6,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f956,f3]) ).
fof(f956,plain,
! [X6,X5] :
( c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(v_S,X6,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f801,f30]) ).
fof(f984,plain,
( ! [X4] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f955]) ).
fof(f955,plain,
( ! [X4] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f801,f529]) ).
fof(f985,plain,
( ! [X3] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f954]) ).
fof(f954,plain,
( ! [X3] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f801,f528]) ).
fof(f986,plain,
( ! [X2] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f953]) ).
fof(f953,plain,
( ! [X2] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f801,f525]) ).
fof(f987,plain,
( ! [X1] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f952]) ).
fof(f952,plain,
( ! [X1] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f801,f524]) ).
fof(f801,plain,
! [X3,X4] :
( ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))))),tc_set(t_a))
| ~ c_in(X4,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f773,f12]) ).
fof(f773,plain,
! [X3,X4] :
( c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))))),tc_set(t_a))
| ~ c_in(v_xa(X4),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))))),t_a),v_xa(X4),t_a)
| ~ c_in(X4,v_S,tc_set(t_a)) ),
inference(resolution,[],[f638,f29]) ).
fof(f950,plain,
! [X6,X5] :
( c_lessequals(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a))))
| v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))) = v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(t_a)))),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f203,f333]) ).
fof(f949,plain,
! [X3,X4] :
( c_lessequals(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))) = v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f203,f28]) ).
fof(f948,plain,
! [X2] :
( c_lessequals(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(tc_set(t_a))))
| v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a)))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f203,f34]) ).
fof(f203,plain,
! [X3,X4] :
( ~ c_lessequals(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))),X3,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(tc_set(t_a))))
| v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a)))) = X3
| ~ c_in(X3,c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X4,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f28,f1]) ).
fof(f937,plain,
( ! [X8] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f934]) ).
fof(f934,plain,
( ! [X8] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f529,f638]) ).
fof(f938,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f933]) ).
fof(f933,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f529,f481]) ).
fof(f939,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f932]) ).
fof(f932,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f529,f358]) ).
fof(f940,plain,
( ! [X5] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f931]) ).
fof(f931,plain,
( ! [X5] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f529,f277]) ).
fof(f529,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f522,f3]) ).
fof(f910,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f908,f1]) ).
fof(f518,plain,
( ! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a))
| v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f508,f1]) ).
fof(f919,plain,
! [X16,X17] :
( c_lessequals(v_S,X16,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)),t_a)
| c_lessequals(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f909,f638]) ).
fof(f918,plain,
! [X14,X15] :
( c_lessequals(v_S,X14,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X14,tc_set(t_a)),t_a)
| c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f909,f481]) ).
fof(f917,plain,
! [X12,X13] :
( c_lessequals(v_S,X12,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)),t_a)
| c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f909,f358]) ).
fof(f916,plain,
! [X10,X11] :
( c_lessequals(v_S,X10,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f909,f277]) ).
fof(f925,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f801,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f910,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915]) ).
fof(f915,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f909,f217]) ).
fof(f924,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f801,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f910,f909,f911,f921,f912,f922,f913,f923,f914]) ).
fof(f914,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f909,f160]) ).
fof(f923,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f801,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f910,f909,f911,f921,f912,f922,f913]) ).
fof(f913,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f909,f111]) ).
fof(f922,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f801,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f910,f909,f911,f921,f912]) ).
fof(f912,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f909,f77]) ).
fof(f921,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f801,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f807,f239,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f910,f909,f911]) ).
fof(f911,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))))),tc_set(t_a)) ),
inference(resolution,[],[f909,f31]) ).
fof(f909,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),t_a)
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a) ),
inference(resolution,[],[f908,f2]) ).
fof(f908,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f907]) ).
fof(f907,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),tc_set(t_a)) ),
inference(resolution,[],[f219,f3]) ).
fof(f219,plain,
! [X10,X9] :
( ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))),t_a),c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))),tc_set(t_a))
| c_lessequals(v_S,X10,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f214,f3]) ).
fof(f214,plain,
! [X10,X9] :
( c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))),t_a),c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)),t_a)
| c_lessequals(v_S,X10,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f160,f30]) ).
fof(f895,plain,
! [X28,X29,X27] :
( ~ c_in(c_Main_OsubsetI__1(X29,v_xa(c_Zorn_Ochain__extend__1(v_S,X27,t_a)),t_a),c_Zorn_Ochain__extend__1(v_S,X27,t_a),t_a)
| ~ c_in(X27,X28,tc_set(t_a))
| c_in(c_union(c_insert(X27,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X28,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_S,c_Zorn_Ochain(X28,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X29,v_xa(c_Zorn_Ochain__extend__1(v_S,X27,t_a)),tc_set(t_a)) ),
inference(resolution,[],[f59,f4]) ).
fof(f906,plain,
! [X26,X24,X25] :
( c_in(c_union(c_insert(X24,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X25,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X24,X25,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X24,t_a))))))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X24,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X25,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X24,t_a))))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f894,f5]) ).
fof(f894,plain,
! [X26,X24,X25] :
( c_in(c_union(c_insert(X24,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X25,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X24,X25,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X24,t_a))))))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X24,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X25,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X24,t_a))))))))))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X24,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f59,f638]) ).
fof(f905,plain,
! [X21,X22,X23] :
( c_in(c_union(c_insert(X21,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X22,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X21,X22,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X23,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X21,t_a)))))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X21,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X22,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X23,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X21,t_a)))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f893,f5]) ).
fof(f893,plain,
! [X21,X22,X23] :
( c_in(c_union(c_insert(X21,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X22,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X21,X22,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X23,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X21,t_a)))))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X21,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X22,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X23,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X21,t_a)))))))))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X21,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f59,f481]) ).
fof(f904,plain,
! [X18,X19,X20] :
( c_in(c_union(c_insert(X18,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X19,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X18,X19,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X18,t_a))))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X18,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X19,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X18,t_a))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f892,f5]) ).
fof(f892,plain,
! [X18,X19,X20] :
( c_in(c_union(c_insert(X18,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X19,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X18,X19,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X18,t_a))))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X18,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X19,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X18,t_a))))))))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X18,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f59,f358]) ).
fof(f903,plain,
! [X16,X17,X15] :
( c_in(c_union(c_insert(X15,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X16,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X15,X16,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X15,t_a)))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X15,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X16,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X15,t_a)))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f891,f5]) ).
fof(f891,plain,
! [X16,X17,X15] :
( c_in(c_union(c_insert(X15,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X16,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X15,X16,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X15,t_a)))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X15,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X16,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X15,t_a)))))))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X15,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f59,f277]) ).
fof(f902,plain,
! [X14,X12,X13] :
( c_in(c_union(c_insert(X12,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X13,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X12,X13,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X14,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X12,t_a))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X12,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X13,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X14,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X12,t_a))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f890,f5]) ).
fof(f890,plain,
! [X14,X12,X13] :
( c_in(c_union(c_insert(X12,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X13,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X12,X13,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X14,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X12,t_a))))))),t_a),c_Zorn_Ochain__extend__1(v_S,X12,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X13,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X14,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X12,t_a))))))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X12,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f59,f217]) ).
fof(f901,plain,
! [X10,X11,X9] :
( c_in(c_union(c_insert(X9,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X10,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X9,X10,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X9,t_a)))))),t_a),c_Zorn_Ochain__extend__1(v_S,X9,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X10,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X9,t_a)))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f889,f5]) ).
fof(f889,plain,
! [X10,X11,X9] :
( c_in(c_union(c_insert(X9,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X10,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X9,X10,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X9,t_a)))))),t_a),c_Zorn_Ochain__extend__1(v_S,X9,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X10,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X9,t_a)))))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X9,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f59,f160]) ).
fof(f900,plain,
! [X8,X6,X7] :
( c_in(c_union(c_insert(X6,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X7,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X6,X7,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X6,t_a))))),t_a),c_Zorn_Ochain__extend__1(v_S,X6,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X7,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X6,t_a))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f888,f5]) ).
fof(f888,plain,
! [X8,X6,X7] :
( c_in(c_union(c_insert(X6,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X7,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X6,X7,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X6,t_a))))),t_a),c_Zorn_Ochain__extend__1(v_S,X6,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X7,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X6,t_a))))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X6,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f59,f111]) ).
fof(f899,plain,
! [X3,X4,X5] :
( c_in(c_union(c_insert(X3,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,X4,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X3,t_a)))),t_a),c_Zorn_Ochain__extend__1(v_S,X3,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X5,v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X3,t_a)))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f887,f5]) ).
fof(f887,plain,
! [X3,X4,X5] :
( c_in(c_union(c_insert(X3,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,X4,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X3,t_a)))),t_a),c_Zorn_Ochain__extend__1(v_S,X3,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X5,v_xa(v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X3,t_a)))),tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X3,t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f59,f77]) ).
fof(f898,plain,
! [X2,X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,X1,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X0,t_a))),t_a),c_Zorn_Ochain__extend__1(v_S,X0,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X2,v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X0,t_a))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f886,f5]) ).
fof(f886,plain,
! [X2,X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X0,X1,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X0,t_a))),t_a),c_Zorn_Ochain__extend__1(v_S,X0,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Ochain__extend__1(v_S,X0,t_a),v_S,tc_set(t_a))
| c_lessequals(X2,v_xa(v_xa(c_Zorn_Ochain__extend__1(v_S,X0,t_a))),tc_set(t_a)) ),
inference(resolution,[],[f59,f31]) ).
fof(f885,plain,
! [X18,X16,X17,X15] :
( c_in(X15,v_xa(c_Zorn_Ochain__extend__1(v_S,X16,t_a)),t_a)
| ~ c_in(X16,X17,tc_set(t_a))
| ~ c_in(X15,c_Zorn_Ochain__extend__1(v_S,X16,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X17,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X18,X17,tc_set(t_a))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_union(c_insert(X16,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),X18,t_a),X18,tc_set(t_a))
| c_in(c_union(c_insert(X18,c_emptyset,tc_set(t_a)),c_union(c_insert(X16,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X17,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f59,f6]) ).
fof(f897,plain,
! [X8,X6,X9,X7,X5] :
( ~ c_in(v_S,c_Zorn_Omaxchain(X7,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X6,X7,tc_set(t_a))
| ~ c_in(X5,c_Zorn_Ochain__extend__1(v_S,X6,t_a),t_a)
| c_in(X8,X9,t_a)
| c_in(X5,v_xa(c_Zorn_Ochain__extend__1(v_S,X6,t_a)),t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_S,X9,t_a),v_S,tc_set(t_a))
| ~ c_in(X8,X6,t_a) ),
inference(subsumption_resolution,[],[f882,f27]) ).
fof(f882,plain,
! [X8,X6,X9,X7,X5] :
( c_in(X5,v_xa(c_Zorn_Ochain__extend__1(v_S,X6,t_a)),t_a)
| ~ c_in(X6,X7,tc_set(t_a))
| ~ c_in(X5,c_Zorn_Ochain__extend__1(v_S,X6,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X7,t_a),tc_set(tc_set(t_a)))
| c_in(X8,X9,t_a)
| ~ c_in(v_S,c_Zorn_Omaxchain(X7,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_S,X9,t_a),v_S,tc_set(t_a))
| ~ c_in(X8,X6,t_a) ),
inference(resolution,[],[f59,f9]) ).
fof(f896,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(v_S,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X2,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain__extend__1(v_S,X1,t_a),t_a)
| c_in(X3,X4,t_a)
| c_in(X0,v_xa(c_Zorn_Ochain__extend__1(v_S,X1,t_a)),t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_S,X4,t_a),X4,tc_set(t_a))
| ~ c_in(X3,X1,t_a) ),
inference(subsumption_resolution,[],[f881,f27]) ).
fof(f881,plain,
! [X2,X3,X0,X1,X4] :
( c_in(X0,v_xa(c_Zorn_Ochain__extend__1(v_S,X1,t_a)),t_a)
| ~ c_in(X1,X2,tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain__extend__1(v_S,X1,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))
| c_in(X3,X4,t_a)
| ~ c_in(v_S,c_Zorn_Omaxchain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_S,X4,t_a),X4,tc_set(t_a))
| ~ c_in(X3,X1,t_a) ),
inference(resolution,[],[f59,f10]) ).
fof(f59,plain,
! [X2,X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a)))
| c_in(X2,v_xa(c_Zorn_Ochain__extend__1(v_S,X0,t_a)),t_a)
| ~ c_in(X0,X1,tc_set(t_a))
| ~ c_in(X2,c_Zorn_Ochain__extend__1(v_S,X0,t_a),t_a)
| ~ c_in(v_S,c_Zorn_Ochain(X1,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f5,f25]) ).
fof(f844,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f843]) ).
fof(f843,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f639,f3]) ).
fof(f639,plain,
( ! [X25] :
( ~ c_in(c_Main_OsubsetI__1(X25,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X25,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f630,f39]) ).
fof(f630,plain,
( ! [X25] :
( c_lessequals(X25,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X25,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f481,f41]) ).
fof(f239,plain,
! [X3,X4] :
( v_x(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))) != v_xa(v_x(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))))
| ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(X3,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X3,X4,t_a),X3,tc_set(t_a)) ),
inference(resolution,[],[f58,f14]) ).
fof(f833,plain,
( ! [X8] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f830,plain,
( ! [X8] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X8,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f528,f638]) ).
fof(f834,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f829,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f528,f481]) ).
fof(f835,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f828,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f528,f358]) ).
fof(f528,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f519,f3]) ).
fof(f821,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f819,f3]) ).
fof(f819,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f800,f2]) ).
fof(f807,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f796,f1]) ).
fof(f820,plain,
( ! [X2] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f800,f1]) ).
fof(f800,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f799,f39]) ).
fof(f799,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f770]) ).
fof(f770,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f638,f521]) ).
fof(f816,plain,
! [X16,X17] :
( ~ c_in(X16,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16))))))))))))))))))),t_a),v_xa(X16),t_a)
| c_lessequals(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16))))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f806,f638]) ).
fof(f815,plain,
! [X14,X15] :
( ~ c_in(X14,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))))))))))))))),t_a),v_xa(X14),t_a)
| c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f806,f481]) ).
fof(f814,plain,
! [X12,X13] :
( ~ c_in(X12,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))))))))))))))),t_a),v_xa(X12),t_a)
| c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f806,f358]) ).
fof(f813,plain,
! [X10,X11] :
( ~ c_in(X10,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))))))))))))),t_a),v_xa(X10),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f806,f277]) ).
fof(f812,plain,
! [X8,X9] :
( ~ c_in(X8,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))))))))),t_a),v_xa(X8),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f806,f217]) ).
fof(f811,plain,
! [X6,X7] :
( ~ c_in(X6,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))))))),t_a),v_xa(X6),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f806,f160]) ).
fof(f810,plain,
! [X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f806,f111]) ).
fof(f809,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f806,f77]) ).
fof(f818,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f737,f638,f801,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f807,f806,f808]) ).
fof(f808,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))))),tc_set(t_a)) ),
inference(resolution,[],[f806,f31]) ).
fof(f806,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f796,f2]) ).
fof(f796,plain,
! [X39] :
( c_lessequals(v_xa(X39),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X39)))))))))),tc_set(t_a))
| ~ c_in(X39,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f795]) ).
fof(f795,plain,
! [X39] :
( c_lessequals(v_xa(X39),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X39)))))))))),tc_set(t_a))
| ~ c_in(X39,v_S,tc_set(t_a))
| c_lessequals(v_xa(X39),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X39)))))))))),tc_set(t_a)) ),
inference(resolution,[],[f638,f3]) ).
fof(f805,plain,
! [X38,X37] :
( c_lessequals(X37,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X38,tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X37,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X38,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X38,tc_set(t_a)),t_a)
| c_lessequals(v_S,X38,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f794,f3]) ).
fof(f794,plain,
! [X38,X37] :
( c_lessequals(X37,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X38,tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X38,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X37,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X38,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X38,tc_set(t_a)),t_a)
| c_lessequals(v_S,X38,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f638,f30]) ).
fof(f804,plain,
! [X36,X35] :
( c_lessequals(X35,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X35,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(t_a)))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f793,f334]) ).
fof(f793,plain,
! [X36,X35] :
( c_lessequals(X35,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X35,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(t_a)))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X36,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f638,f338]) ).
fof(f803,plain,
! [X34,X33] :
( c_lessequals(X33,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X33,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(t_a)))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f792,f18]) ).
fof(f792,plain,
! [X34,X33] :
( c_lessequals(X33,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X33,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(t_a)))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X34,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f638,f71]) ).
fof(f786,plain,
! [X26,X27] :
( c_lessequals(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X27)))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X27)))))))),v_S,tc_set(t_a))
| ~ c_in(X27,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X27)))))))))))))))))),t_a),v_xa(X27),t_a) ),
inference(resolution,[],[f638,f646]) ).
fof(f785,plain,
! [X24,X25] :
( c_lessequals(X24,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X25))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X25))))))),v_S,tc_set(t_a))
| ~ c_in(X25,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X24,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X25))))))))))))))))),t_a),v_xa(X25),t_a) ),
inference(resolution,[],[f638,f486]) ).
fof(f784,plain,
! [X22,X23] :
( c_lessequals(X22,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X23)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X23)))))),v_S,tc_set(t_a))
| ~ c_in(X23,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X22,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X23)))))))))))))))),t_a),v_xa(X23),t_a) ),
inference(resolution,[],[f638,f361]) ).
fof(f783,plain,
! [X21,X20] :
( c_lessequals(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X21))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X21))))),v_S,tc_set(t_a))
| ~ c_in(X21,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X21))))))))))))))),t_a),v_xa(X21),t_a) ),
inference(resolution,[],[f638,f280]) ).
fof(f782,plain,
! [X18,X19] :
( c_lessequals(X18,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X19)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X19)))),v_S,tc_set(t_a))
| ~ c_in(X19,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X18,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X19)))))))))))))),t_a),v_xa(X19),t_a) ),
inference(resolution,[],[f638,f220]) ).
fof(f780,plain,
! [X16,X15] :
( c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))),v_S,tc_set(t_a))
| c_lessequals(v_S,X16,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)),t_a) ),
inference(resolution,[],[f638,f736]) ).
fof(f779,plain,
! [X14,X13] :
( c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X14))),v_S,tc_set(t_a))
| ~ c_in(X14,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))))))),t_a),v_xa(X14),t_a) ),
inference(resolution,[],[f638,f163]) ).
fof(f777,plain,
! [X10,X11] :
( c_lessequals(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X11,tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X11,tc_set(t_a)))),v_S,tc_set(t_a))
| c_lessequals(v_S,X11,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X11,tc_set(t_a)))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X11,tc_set(t_a)),t_a) ),
inference(resolution,[],[f638,f579]) ).
fof(f776,plain,
! [X8,X9] :
( c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X9)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X9)),v_S,tc_set(t_a))
| ~ c_in(X9,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X9)))))))))))),t_a),v_xa(X9),t_a) ),
inference(resolution,[],[f638,f114]) ).
fof(f774,plain,
! [X6,X5] :
( c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))),v_S,tc_set(t_a))
| c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a) ),
inference(resolution,[],[f638,f431]) ).
fof(f797,plain,
( ! [X2] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f772,plain,
( ! [X2] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f638,f525]) ).
fof(f798,plain,
( ! [X1] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f771]) ).
fof(f771,plain,
( ! [X1] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f638,f524]) ).
fof(f638,plain,
! [X2,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))),t_a),v_xa(X2),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))),tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f615,f12]) ).
fof(f615,plain,
! [X2,X1] :
( c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))),tc_set(t_a))
| ~ c_in(v_xa(X2),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))),t_a),v_xa(X2),t_a)
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f481,f29]) ).
fof(f762,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f759]) ).
fof(f759,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f525,f481]) ).
fof(f763,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f758]) ).
fof(f758,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f525,f358]) ).
fof(f525,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f517,f3]) ).
fof(f737,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)) = v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f735,f1]) ).
fof(f516,plain,
( ! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a))
| v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f509,f1]) ).
fof(f745,plain,
! [X14,X15] :
( c_lessequals(v_S,X14,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a)))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X14,tc_set(t_a)),t_a)
| c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X14,tc_set(t_a))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f736,f481]) ).
fof(f744,plain,
! [X12,X13] :
( c_lessequals(v_S,X12,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)),t_a)
| c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f736,f358]) ).
fof(f743,plain,
! [X10,X11] :
( c_lessequals(v_S,X10,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f736,f277]) ).
fof(f751,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f638,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f737,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742]) ).
fof(f742,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f736,f217]) ).
fof(f750,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f638,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f737,f736,f738,f747,f739,f748,f740,f749,f741]) ).
fof(f741,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f736,f160]) ).
fof(f749,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f638,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f737,f736,f738,f747,f739,f748,f740]) ).
fof(f740,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f736,f111]) ).
fof(f748,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f638,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f737,f736,f738,f747,f739]) ).
fof(f739,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f736,f77]) ).
fof(f747,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f28,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f638,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f647,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f288,f162,f735,f737,f736,f738]) ).
fof(f738,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| ~ c_in(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))))),tc_set(t_a)) ),
inference(resolution,[],[f736,f31]) ).
fof(f736,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),t_a)
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a) ),
inference(resolution,[],[f735,f2]) ).
fof(f735,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f734]) ).
fof(f734,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),tc_set(t_a)) ),
inference(resolution,[],[f162,f3]) ).
fof(f162,plain,
! [X6,X7] :
( ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X7,tc_set(t_a)))))),t_a),c_Main_OsubsetI__1(v_S,X7,tc_set(t_a)),t_a)
| c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X7,tc_set(t_a)))))),tc_set(t_a))
| c_lessequals(v_S,X7,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f157,f3]) ).
fof(f157,plain,
! [X6,X7] :
( c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X7,tc_set(t_a)))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X7,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X7,tc_set(t_a)))))),t_a),c_Main_OsubsetI__1(v_S,X7,tc_set(t_a)),t_a)
| c_lessequals(v_S,X7,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f111,f30]) ).
fof(f288,plain,
! [X6,X7,X4,X5] :
( c_Zorn_Ochain__extend__1(v_S,X5,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X5,t_a))
| ~ c_in(X5,X4,tc_set(t_a))
| c_in(X6,X7,t_a)
| ~ c_in(v_S,c_Zorn_Omaxchain(X4,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_S,X7,t_a),v_S,tc_set(t_a))
| ~ c_in(X6,X5,t_a) ),
inference(subsumption_resolution,[],[f283,f27]) ).
fof(f283,plain,
! [X6,X7,X4,X5] :
( ~ c_in(v_S,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X5,X4,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X5,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X5,t_a))
| c_in(X6,X7,t_a)
| ~ c_in(v_S,c_Zorn_Omaxchain(X4,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_S,X7,t_a),v_S,tc_set(t_a))
| ~ c_in(X6,X5,t_a) ),
inference(resolution,[],[f60,f9]) ).
fof(f698,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f697]) ).
fof(f697,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f482,f3]) ).
fof(f482,plain,
( ! [X19] :
( ~ c_in(c_Main_OsubsetI__1(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f475,f39]) ).
fof(f475,plain,
( ! [X19] :
( c_lessequals(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f358,f41]) ).
fof(f688,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f685]) ).
fof(f685,plain,
( ! [X7] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X7,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f524,f481]) ).
fof(f524,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f515,f3]) ).
fof(f677,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(v_x(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X1,tc_set(t_a)) ),
inference(resolution,[],[f243,f3]) ).
fof(f243,plain,
! [X0,X1] :
( ~ c_in(X1,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(v_x(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f240,f32]) ).
fof(f240,plain,
! [X0,X1] :
( c_in(v_x(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),t_a) ),
inference(resolution,[],[f58,f48]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( c_Zorn_Ochain__extend__1(v_S,X1,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X1,t_a))
| ~ c_in(X1,X0,tc_set(t_a))
| c_in(X2,X3,t_a)
| ~ c_in(v_S,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_S,X3,t_a),X3,tc_set(t_a))
| ~ c_in(X2,X1,t_a) ),
inference(subsumption_resolution,[],[f282,f27]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ c_in(v_S,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X0,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X1,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X1,t_a))
| c_in(X2,X3,t_a)
| ~ c_in(v_S,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_S,X3,t_a),X3,tc_set(t_a))
| ~ c_in(X2,X1,t_a) ),
inference(resolution,[],[f60,f10]) ).
fof(f675,plain,
! [X8,X9,X7] :
( c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| c_in(X8,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X8,c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))),X9,tc_set(t_a)),t_a)
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))),X9,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f424,f3]) ).
fof(f674,plain,
! [X3,X6,X4,X5] :
( c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| c_in(X4,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X4,c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a))),X5,t_a),t_a)
| c_in(c_union(c_insert(X5,c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a))),tc_set(t_a)),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a))),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X5,X6,tc_set(t_a)) ),
inference(resolution,[],[f424,f5]) ).
fof(f676,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a))))
| c_in(X1,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X1,c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a))),X2,t_a),t_a)
| c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a))),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f673,f33]) ).
fof(f673,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a))))
| c_in(X1,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X1,c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a))),X2,t_a),t_a)
| c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a))),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f424,f58]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a))))
| c_in(X2,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X2,X1,t_a) ),
inference(resolution,[],[f333,f2]) ).
fof(f242,plain,
! [X4] :
( c_in(v_x(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(v_S,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_Zorn_Ochain__extend__1(v_S,X4,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X4,t_a)) ),
inference(resolution,[],[f58,f14]) ).
fof(f663,plain,
! [X8,X9,X7] :
( ~ c_in(X8,c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a))),X9,tc_set(t_a)),t_a)
| c_in(X8,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a))),X9,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f202,f3]) ).
fof(f662,plain,
! [X3,X6,X4,X5] :
( c_lessequals(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| c_in(X4,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X4,c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))),X5,t_a),t_a)
| c_in(c_union(c_insert(X5,c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))),tc_set(t_a)),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X5,X6,tc_set(t_a)) ),
inference(resolution,[],[f202,f5]) ).
fof(f664,plain,
! [X2,X0,X1] :
( ~ c_in(X1,c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a))),X2,t_a),t_a)
| c_in(X1,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a))))
| c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a))),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f661,f3]) ).
fof(f661,plain,
! [X2,X0,X1] :
( c_lessequals(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a))))
| c_in(X1,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X1,c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a))),X2,t_a),t_a)
| c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a))),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f202,f58]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(tc_set(t_a))))
| c_in(X2,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))),t_a)
| ~ c_in(X2,X0,t_a) ),
inference(resolution,[],[f28,f2]) ).
fof(f660,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f658,f3]) ).
fof(f658,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f637,f2]) ).
fof(f647,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f635,f1]) ).
fof(f659,plain,
( ! [X2] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f637,f1]) ).
fof(f637,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f636,f39]) ).
fof(f636,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f614]) ).
fof(f614,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f481,f521]) ).
fof(f655,plain,
! [X14,X15] :
( ~ c_in(X14,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))))))))))),t_a),v_xa(X14),t_a)
| c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f646,f481]) ).
fof(f654,plain,
! [X12,X13] :
( ~ c_in(X12,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12)))))))))))))))),t_a),v_xa(X12),t_a)
| c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12)))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f646,f358]) ).
fof(f653,plain,
! [X10,X11] :
( ~ c_in(X10,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10))))))))))))))),t_a),v_xa(X10),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f646,f277]) ).
fof(f652,plain,
! [X8,X9] :
( ~ c_in(X8,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))))))))))),t_a),v_xa(X8),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f646,f217]) ).
fof(f651,plain,
! [X6,X7] :
( ~ c_in(X6,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))))))),t_a),v_xa(X6),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f646,f160]) ).
fof(f650,plain,
! [X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f646,f111]) ).
fof(f649,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f646,f77]) ).
fof(f657,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f481,f638,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f647,f646,f648]) ).
fof(f648,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))))),tc_set(t_a)) ),
inference(resolution,[],[f646,f31]) ).
fof(f646,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f635,f2]) ).
fof(f635,plain,
! [X32] :
( c_lessequals(v_xa(X32),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X32))))))))),tc_set(t_a))
| ~ c_in(X32,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f634,plain,
! [X32] :
( c_lessequals(v_xa(X32),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X32))))))))),tc_set(t_a))
| ~ c_in(X32,v_S,tc_set(t_a))
| c_lessequals(v_xa(X32),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X32))))))))),tc_set(t_a)) ),
inference(resolution,[],[f481,f3]) ).
fof(f645,plain,
! [X10,X8,X9,X7] :
( ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),X8,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),c_emptyset,tc_set(t_a)),c_Zorn_Ochain__extend__1(c_Zorn_Ochain(X8,t_a),X9,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X8,t_a),tc_set(tc_set(t_a)))
| c_in(c_union(c_insert(X9,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(X8,t_a),tc_set(tc_set(t_a))),c_Zorn_Ochain(X10,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain(X8,t_a),c_Zorn_Ochain(X10,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X9,X10,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain__extend__1(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(X8,t_a),X9,tc_set(t_a)),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f92,f333]) ).
fof(f644,plain,
! [X3,X6,X4,X5] :
( ~ c_in(c_Zorn_Ochain__extend__1(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(X4,t_a),X5,tc_set(t_a)),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),c_emptyset,tc_set(t_a)),c_Zorn_Ochain__extend__1(c_Zorn_Ochain(X4,t_a),X5,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| c_in(c_union(c_insert(X5,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a))),c_Zorn_Ochain(X6,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain(X4,t_a),c_Zorn_Ochain(X6,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X5,X6,tc_set(tc_set(t_a)))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),X4,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f92,f28]) ).
fof(f643,plain,
! [X2,X0,X1] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_Ochain__extend__1(c_Zorn_Ochain(X0,t_a),X1,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))),c_Zorn_Ochain(X2,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain(X0,t_a),c_Zorn_Ochain(X2,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X1,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Ochain__extend__1(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(X0,t_a),X1,tc_set(t_a)),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f92,f34]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(X1,X2),X3,tc_set(X2)),X0,X2),X0,tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2))
| c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),c_Zorn_Ochain__extend__1(c_Zorn_Ochain(X1,X2),X3,tc_set(X2)),tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| c_in(c_union(c_insert(X3,c_emptyset,tc_set(tc_set(X2))),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))),c_Zorn_Ochain(X4,tc_set(X2)),tc_set(tc_set(tc_set(X2))))
| ~ c_in(c_Zorn_Ochain(X1,X2),c_Zorn_Ochain(X4,tc_set(X2)),tc_set(tc_set(tc_set(X2))))
| ~ c_in(X3,X4,tc_set(tc_set(X2))) ),
inference(resolution,[],[f6,f5]) ).
fof(f642,plain,
! [X31,X30] :
( c_lessequals(X30,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X31,tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X30,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X31,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X31,tc_set(t_a)),t_a)
| c_lessequals(v_S,X31,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f633,f3]) ).
fof(f633,plain,
! [X31,X30] :
( c_lessequals(X30,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X31,tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X31,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X30,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X31,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X31,tc_set(t_a)),t_a)
| c_lessequals(v_S,X31,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f481,f30]) ).
fof(f641,plain,
! [X28,X29] :
( c_lessequals(X28,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X28,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(t_a))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f632,f334]) ).
fof(f632,plain,
! [X28,X29] :
( c_lessequals(X28,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X28,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(t_a))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X29,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f481,f338]) ).
fof(f640,plain,
! [X26,X27] :
( c_lessequals(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(t_a))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f631,f18]) ).
fof(f631,plain,
! [X26,X27] :
( c_lessequals(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X26,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(t_a))))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X27,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f481,f71]) ).
fof(f625,plain,
! [X19,X20] :
( c_lessequals(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X20)))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X20))))))),v_S,tc_set(t_a))
| ~ c_in(X20,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X19,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X20)))))))))))))))),t_a),v_xa(X20),t_a) ),
inference(resolution,[],[f481,f486]) ).
fof(f624,plain,
! [X18,X17] :
( c_lessequals(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X18))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X18)))))),v_S,tc_set(t_a))
| ~ c_in(X18,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X17,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X18))))))))))))))),t_a),v_xa(X18),t_a) ),
inference(resolution,[],[f481,f361]) ).
fof(f623,plain,
! [X16,X15] :
( c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X16))))),v_S,tc_set(t_a))
| ~ c_in(X16,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X16)))))))))))))),t_a),v_xa(X16),t_a) ),
inference(resolution,[],[f481,f280]) ).
fof(f622,plain,
! [X14,X13] :
( c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X14)))),v_S,tc_set(t_a))
| ~ c_in(X14,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14))))))))))))),t_a),v_xa(X14),t_a) ),
inference(resolution,[],[f481,f220]) ).
fof(f621,plain,
! [X11,X12] :
( c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X12))),v_S,tc_set(t_a))
| ~ c_in(X12,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12)))))))))))),t_a),v_xa(X12),t_a) ),
inference(resolution,[],[f481,f163]) ).
fof(f619,plain,
! [X8,X9] :
( c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X9,tc_set(t_a))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X9,tc_set(t_a)))),v_S,tc_set(t_a))
| c_lessequals(v_S,X9,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X9,tc_set(t_a))))))))))))),t_a),c_Main_OsubsetI__1(v_S,X9,tc_set(t_a)),t_a) ),
inference(resolution,[],[f481,f579]) ).
fof(f618,plain,
! [X6,X7] :
( c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X7))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X7)),v_S,tc_set(t_a))
| ~ c_in(X7,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X7))))))))))),t_a),v_xa(X7),t_a) ),
inference(resolution,[],[f481,f114]) ).
fof(f616,plain,
! [X3,X4] :
( c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))),v_S,tc_set(t_a))
| c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a) ),
inference(resolution,[],[f481,f431]) ).
fof(f481,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1))))))))),t_a),v_xa(X1),t_a)
| c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1))))))))),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f463,f12]) ).
fof(f463,plain,
! [X0,X1] :
( c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1))))))))),tc_set(t_a))
| ~ c_in(v_xa(X1),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1))))))))),t_a),v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f358,f29]) ).
fof(f613,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f611,f3]) ).
fof(f611,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f610,f2]) ).
fof(f612,plain,
( ! [X2] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f610,f1]) ).
fof(f610,plain,
( ! [X6] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f603,f39]) ).
fof(f603,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f600]) ).
fof(f600,plain,
( ! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f521,f358]) ).
fof(f521,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f513,f3]) ).
fof(f514,plain,
( ! [X2] :
( ~ c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a))
| v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f510,f1]) ).
fof(f580,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)) = v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f578,f1]) ).
fof(f587,plain,
! [X12,X13] :
( c_lessequals(v_S,X12,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)))))))))))),t_a),c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)),t_a)
| c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X12,tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f579,f358]) ).
fof(f586,plain,
! [X10,X11] :
( c_lessequals(v_S,X10,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f579,f277]) ).
fof(f593,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f481,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f580,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585]) ).
fof(f585,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f579,f217]) ).
fof(f592,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f481,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f580,f579,f581,f589,f582,f590,f583,f591,f584]) ).
fof(f584,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f579,f160]) ).
fof(f591,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f481,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f580,f579,f581,f589,f582,f590,f583]) ).
fof(f583,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f579,f111]) ).
fof(f590,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f481,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f580,f579,f581,f589,f582]) ).
fof(f582,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f579,f77]) ).
fof(f589,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f481,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f61,f512,f95,f535,f536,f537,f93,f574,f575,f576,f113,f578,f580,f579,f581]) ).
fof(f581,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| ~ c_in(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))))),tc_set(t_a)) ),
inference(resolution,[],[f579,f31]) ).
fof(f579,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),t_a)
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a) ),
inference(resolution,[],[f578,f2]) ).
fof(f578,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f577]) ).
fof(f577,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),tc_set(t_a)) ),
inference(resolution,[],[f113,f3]) ).
fof(f113,plain,
! [X3,X4] :
( ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))),tc_set(t_a))
| c_lessequals(v_S,X4,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f108,f3]) ).
fof(f108,plain,
! [X3,X4] :
( c_lessequals(X3,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(v_S,X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f77,f30]) ).
fof(f576,plain,
! [X10,X8,X9,X7] :
( ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),X8,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),c_emptyset,tc_set(t_a)),c_union(c_insert(X9,c_emptyset,tc_set(t_a)),X10,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X8,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X10,X9,t_a),X10,tc_set(t_a))
| ~ c_in(X10,c_Zorn_Ochain(X8,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X9,X8,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain__extend__1(c_union(c_insert(X9,c_emptyset,tc_set(t_a)),X10,tc_set(t_a)),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f93,f333]) ).
fof(f575,plain,
! [X3,X6,X4,X5] :
( ~ c_in(c_Zorn_Ochain__extend__1(c_union(c_insert(X5,c_emptyset,tc_set(t_a)),X6,tc_set(t_a)),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),c_emptyset,tc_set(t_a)),c_union(c_insert(X5,c_emptyset,tc_set(t_a)),X6,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X6,X5,t_a),X6,tc_set(t_a))
| ~ c_in(X6,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X5,X4,tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),X4,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f93,f28]) ).
fof(f574,plain,
! [X2,X0,X1] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X2,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X2,X1,t_a),X2,tc_set(t_a))
| ~ c_in(X2,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X0,tc_set(t_a))
| ~ c_in(c_Zorn_Ochain__extend__1(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X2,tc_set(t_a)),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f93,f34]) ).
fof(f93,plain,
! [X8,X6,X9,X7,X5] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_union(c_insert(X8,c_emptyset,tc_set(X7)),X9,tc_set(X7)),X5,X7),X5,tc_set(X7))
| ~ c_in(X5,X6,tc_set(X7))
| c_in(c_union(c_insert(X5,c_emptyset,tc_set(X7)),c_union(c_insert(X8,c_emptyset,tc_set(X7)),X9,tc_set(X7)),tc_set(X7)),c_Zorn_Ochain(X6,X7),tc_set(tc_set(X7)))
| c_in(c_Zorn_Ochain__extend__1(X9,X8,X7),X9,tc_set(X7))
| ~ c_in(X9,c_Zorn_Ochain(X6,X7),tc_set(tc_set(X7)))
| ~ c_in(X8,X6,tc_set(X7)) ),
inference(resolution,[],[f6,f5]) ).
fof(f557,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f555,f3]) ).
fof(f555,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f534,f2]) ).
fof(f556,plain,
( ! [X2] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f534,f1]) ).
fof(f534,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f531]) ).
fof(f531,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f359,f120]) ).
fof(f533,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f532]) ).
fof(f532,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f359,f3]) ).
fof(f537,plain,
! [X6,X7,X5] :
( ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))),X6,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))),c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Ochain(X6,t_a),X7,tc_set(tc_set(t_a))),tc_set(t_a)),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Ochain(X6,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Ochain(X6,t_a),X7,tc_set(tc_set(t_a))),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f95,f333]) ).
fof(f536,plain,
! [X2,X3,X4] :
( ~ c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Ochain(X3,t_a),X4,tc_set(tc_set(t_a))),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a)))),t_a),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a)))),c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Ochain(X3,t_a),X4,tc_set(tc_set(t_a))),tc_set(t_a)),c_Zorn_Ochain(X3,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Ochain(X3,t_a),X4,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a)))),X3,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f95,f28]) ).
fof(f535,plain,
! [X0,X1] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a))
| c_in(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Main_OsubsetI__1(c_Zorn_Ochain(X0,t_a),X1,tc_set(tc_set(t_a))),tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Ochain(X0,t_a),X1,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Ochain(X0,t_a),X1,tc_set(tc_set(t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f95,f34]) ).
fof(f95,plain,
! [X16,X14,X15,X13] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Ochain(X14,X15),X16,tc_set(tc_set(X15))),X13,X15),X13,tc_set(X15))
| ~ c_in(X13,X14,tc_set(X15))
| c_in(c_union(c_insert(X13,c_emptyset,tc_set(X15)),c_Main_OsubsetI__1(c_Zorn_Ochain(X14,X15),X16,tc_set(tc_set(X15))),tc_set(X15)),c_Zorn_Ochain(X14,X15),tc_set(tc_set(X15)))
| c_lessequals(c_Zorn_Ochain(X14,X15),X16,tc_set(tc_set(tc_set(X15)))) ),
inference(resolution,[],[f6,f3]) ).
fof(f359,plain,
( ! [X14] :
( ~ c_in(c_Main_OsubsetI__1(X14,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X14,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f354,f39]) ).
fof(f354,plain,
( ! [X14] :
( c_lessequals(X14,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X14,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f277,f41]) ).
fof(f512,plain,
! [X2] :
( ~ c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a))
| v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f504,f1]) ).
fof(f526,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f505,f2]) ).
fof(f522,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f506,f2]) ).
fof(f519,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f507,f2]) ).
fof(f527,plain,
( ! [X2] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f505,f1]) ).
fof(f505,plain,
( ! [X5] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f502]) ).
fof(f502,plain,
( ! [X5] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X5,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f120,f278]) ).
fof(f517,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f508,f2]) ).
fof(f515,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f509,f2]) ).
fof(f523,plain,
( ! [X2] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))) = c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f506,f1]) ).
fof(f506,plain,
( ! [X4] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f501]) ).
fof(f501,plain,
( ! [X4] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f120,f218]) ).
fof(f513,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),t_a)
| c_in(X1,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(resolution,[],[f510,f2]) ).
fof(f61,plain,
! [X6,X7,X5] :
( ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Ochain(X6,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| c_in(c_union(c_insert(X5,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),c_Zorn_Ochain(X6,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X5,X6,tc_set(tc_set(t_a)))
| c_lessequals(X7,v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(t_a))),tc_set(t_a))
| ~ c_in(X7,c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f5,f15]) ).
fof(f507,plain,
( ! [X3] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f500]) ).
fof(f500,plain,
( ! [X3] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,tc_set(t_a)),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f120,f161]) ).
fof(f508,plain,
( ! [X2] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f499]) ).
fof(f499,plain,
( ! [X2] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,tc_set(t_a)),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f120,f112]) ).
fof(f509,plain,
( ! [X1] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f498]) ).
fof(f498,plain,
( ! [X1] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,tc_set(t_a)),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f120,f78]) ).
fof(f510,plain,
( ! [X0] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f497,plain,
( ! [X0] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f120,f64]) ).
fof(f504,plain,
! [X6] :
( c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f503]) ).
fof(f503,plain,
! [X6] :
( c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,tc_set(t_a)),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
inference(resolution,[],[f120,f4]) ).
fof(f120,plain,
! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,tc_set(t_a)),X1,tc_set(t_a)) ),
inference(resolution,[],[f66,f3]) ).
fof(f487,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f480,f1]) ).
fof(f494,plain,
! [X12,X13] :
( ~ c_in(X12,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))))))))))))),t_a),v_xa(X12),t_a)
| c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f486,f358]) ).
fof(f493,plain,
! [X10,X11] :
( ~ c_in(X10,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))))))))))),t_a),v_xa(X10),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f486,f277]) ).
fof(f492,plain,
! [X8,X9] :
( ~ c_in(X8,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))))))),t_a),v_xa(X8),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f486,f217]) ).
fof(f491,plain,
! [X6,X7] :
( ~ c_in(X6,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))))),t_a),v_xa(X6),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f486,f160]) ).
fof(f490,plain,
! [X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f486,f111]) ).
fof(f489,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f486,f77]) ).
fof(f496,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f61,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f461,f462,f460,f358,f481,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f487,f486,f488]) ).
fof(f488,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))))),tc_set(t_a)) ),
inference(resolution,[],[f486,f31]) ).
fof(f486,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f480,f2]) ).
fof(f480,plain,
! [X26] :
( c_lessequals(v_xa(X26),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X26)))))))),tc_set(t_a))
| ~ c_in(X26,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f479]) ).
fof(f479,plain,
! [X26] :
( c_lessequals(v_xa(X26),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X26)))))))),tc_set(t_a))
| ~ c_in(X26,v_S,tc_set(t_a))
| c_lessequals(v_xa(X26),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X26)))))))),tc_set(t_a)) ),
inference(resolution,[],[f358,f3]) ).
fof(f485,plain,
! [X24,X25] :
( c_lessequals(X24,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X25,tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X24,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X25,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X25,tc_set(t_a)),t_a)
| c_lessequals(v_S,X25,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f478,f3]) ).
fof(f478,plain,
! [X24,X25] :
( c_lessequals(X24,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X25,tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X25,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X24,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X25,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X25,tc_set(t_a)),t_a)
| c_lessequals(v_S,X25,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f358,f30]) ).
fof(f484,plain,
! [X22,X23] :
( c_lessequals(X22,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X22,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(t_a)))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f477,f334]) ).
fof(f477,plain,
! [X22,X23] :
( c_lessequals(X22,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X22,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(t_a)))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X23,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f358,f338]) ).
fof(f483,plain,
! [X21,X20] :
( c_lessequals(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(t_a)))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f476,f18]) ).
fof(f476,plain,
! [X21,X20] :
( c_lessequals(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(t_a)))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X20,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(t_a)))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X21,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f358,f71]) ).
fof(f470,plain,
! [X14,X13] :
( c_lessequals(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))),v_S,tc_set(t_a))
| ~ c_in(X14,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X13,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X14)))))))))))))),t_a),v_xa(X14),t_a) ),
inference(resolution,[],[f358,f361]) ).
fof(f469,plain,
! [X11,X12] :
( c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))),v_S,tc_set(t_a))
| ~ c_in(X12,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X12))))))))))))),t_a),v_xa(X12),t_a) ),
inference(resolution,[],[f358,f280]) ).
fof(f468,plain,
! [X10,X9] :
( c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X10)))),v_S,tc_set(t_a))
| ~ c_in(X10,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))))))))),t_a),v_xa(X10),t_a) ),
inference(resolution,[],[f358,f220]) ).
fof(f467,plain,
! [X8,X7] :
( c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X8))),v_S,tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))))),t_a),v_xa(X8),t_a) ),
inference(resolution,[],[f358,f163]) ).
fof(f466,plain,
! [X6,X5] :
( c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X6)),v_S,tc_set(t_a))
| ~ c_in(X6,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))),t_a),v_xa(X6),t_a) ),
inference(resolution,[],[f358,f114]) ).
fof(f464,plain,
! [X2,X3] :
( c_lessequals(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X3,tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X3,tc_set(t_a))),v_S,tc_set(t_a))
| c_lessequals(v_S,X3,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X3,tc_set(t_a))))))))))),t_a),c_Main_OsubsetI__1(v_S,X3,tc_set(t_a)),t_a) ),
inference(resolution,[],[f358,f431]) ).
fof(f358,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1)))))))),t_a),v_xa(X1),t_a)
| c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1)))))))),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f345,f12]) ).
fof(f345,plain,
! [X0,X1] :
( c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1)))))))),tc_set(t_a))
| ~ c_in(v_xa(X1),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1)))))))),t_a),v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f277,f29]) ).
fof(f460,plain,
! [X10,X8,X9] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_union(c_insert(X9,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),X10,tc_set(t_a)),X10,tc_set(tc_set(t_a)))
| ~ c_in(X9,X8,tc_set(tc_set(t_a)))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X9,tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X10,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Ochain(X8,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| c_in(c_union(c_insert(X10,c_emptyset,tc_set(tc_set(t_a))),c_union(c_insert(X9,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),c_Zorn_Ochain(X8,tc_set(t_a)),tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f62,f6]) ).
fof(f62,plain,
! [X8,X9] :
( c_in(c_union(c_insert(X8,c_emptyset,tc_set(tc_set(t_a))),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),c_Zorn_Ochain(X9,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(c_Zorn_Ochain(v_S,t_a),c_Zorn_Ochain(X9,tc_set(t_a)),tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X8,X9,tc_set(tc_set(t_a)))
| c_in(v_x(c_Zorn_Ochain__extend__1(c_Zorn_Ochain(v_S,t_a),X8,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f5,f11]) ).
fof(f432,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)) = v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f430,f1]) ).
fof(f451,plain,
! [X12,X13] :
( ~ c_in(c_Main_OsubsetI__1(X12,v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X13,tc_set(tc_set(t_a))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X13,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X13,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X12,v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X13,tc_set(tc_set(t_a))))),tc_set(t_a)) ),
inference(resolution,[],[f338,f4]) ).
fof(f457,plain,
! [X10,X11] :
( ~ c_in(c_Main_OsubsetI__1(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(t_a))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(t_a))))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f450,f334]) ).
fof(f450,plain,
! [X10,X11] :
( ~ c_in(c_Main_OsubsetI__1(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(t_a))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X11,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f338,f277]) ).
fof(f456,plain,
! [X8,X9] :
( ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(t_a)))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(t_a)))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f449,f334]) ).
fof(f449,plain,
! [X8,X9] :
( ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(t_a)))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X9,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f338,f217]) ).
fof(f455,plain,
! [X6,X7] :
( ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f448,f334]) ).
fof(f448,plain,
! [X6,X7] :
( ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X7,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f338,f160]) ).
fof(f454,plain,
! [X4,X5] :
( ~ c_in(c_Main_OsubsetI__1(X4,v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X4,v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f447,f334]) ).
fof(f447,plain,
! [X4,X5] :
( ~ c_in(c_Main_OsubsetI__1(X4,v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X4,v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f338,f111]) ).
fof(f453,plain,
! [X2,X3] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X2,v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f446,f334]) ).
fof(f446,plain,
! [X2,X3] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X2,v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f338,f77]) ).
fof(f452,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(t_a)))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X0,v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(t_a)))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f445,f334]) ).
fof(f445,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(t_a)))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| c_lessequals(X0,v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(t_a)))))),tc_set(t_a)) ),
inference(resolution,[],[f338,f31]) ).
fof(f338,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a))))),t_a)
| ~ c_in(X1,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f334,f25]) ).
fof(f438,plain,
! [X10,X11] :
( c_lessequals(v_S,X10,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)))))))))),t_a),c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X10,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f431,f277]) ).
fof(f444,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f61,f62,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f338,f339,f83,f341,f344,f277,f358,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f432,f431,f433,f440,f434,f441,f435,f442,f436,f443,f437]) ).
fof(f437,plain,
! [X8,X9] :
( c_lessequals(v_S,X8,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X8,tc_set(t_a)),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))))))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X8,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f431,f217]) ).
fof(f436,plain,
! [X6,X7] :
( c_lessequals(v_S,X6,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a)))))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X6,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f431,f160]) ).
fof(f442,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f61,f62,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f338,f339,f83,f341,f344,f277,f358,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f432,f431,f433,f440,f434,f441,f435]) ).
fof(f435,plain,
! [X4,X5] :
( c_lessequals(v_S,X4,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))),t_a),c_Main_OsubsetI__1(v_S,X4,tc_set(t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X4,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f431,f111]) ).
fof(f441,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f61,f62,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f338,f339,f83,f341,f344,f277,f358,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f432,f431,f433,f440,f434]) ).
fof(f434,plain,
! [X2,X3] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))),t_a),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))))),tc_set(t_a))
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f431,f77]) ).
fof(f440,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f61,f62,f63,f48,f65,f49,f18,f31,f76,f81,f30,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f335,f334,f338,f339,f83,f341,f344,f277,f358,f346,f347,f348,f349,f360,f357,f129,f363,f364,f365,f361,f366,f373,f367,f368,f369,f370,f371,f362,f171,f402,f403,f404,f71,f418,f419,f420,f421,f422,f423,f417,f333,f424,f425,f426,f428,f84,f430,f432,f431,f433]) ).
fof(f433,plain,
! [X0,X1] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),t_a),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a)
| ~ c_in(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),tc_set(t_a)) ),
inference(resolution,[],[f431,f31]) ).
fof(f431,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))),t_a)
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),t_a) ),
inference(resolution,[],[f430,f2]) ).
fof(f430,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f429]) ).
fof(f429,plain,
! [X0] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))),tc_set(t_a)) ),
inference(resolution,[],[f84,f3]) ).
fof(f84,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)))),t_a),c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),t_a)
| c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_xa(v_xa(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f82,f3]) ).
fof(f82,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)))),t_a),c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),t_a)
| c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),v_S,tc_set(t_a))
| c_lessequals(X0,v_xa(v_xa(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)))),tc_set(t_a)) ),
inference(resolution,[],[f30,f31]) ).
fof(f428,plain,
! [X6] :
( ~ c_in(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(t_a))))),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f427,f334]) ).
fof(f427,plain,
! [X6] :
( c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(t_a))))),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X6,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f333,f24]) ).
fof(f426,plain,
! [X5] :
( c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a))),tc_set(t_a))
| v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X5,tc_set(tc_set(t_a)))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f333,f49]) ).
fof(f425,plain,
! [X3,X4] :
( c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X4,c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a))),tc_set(t_a))
| v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a)))) = X4
| ~ c_lessequals(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X3,tc_set(tc_set(t_a)))),X4,tc_set(t_a)) ),
inference(resolution,[],[f333,f1]) ).
fof(f333,plain,
! [X0,X1] :
( c_lessequals(X1,v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a)))),tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(X1,c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f33,f15]) ).
fof(f417,plain,
! [X12,X13] :
( ~ c_in(c_Main_OsubsetI__1(X12,v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X13,tc_set(tc_set(t_a))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X13,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X13,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X12,v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X13,tc_set(tc_set(t_a))))),tc_set(t_a)) ),
inference(resolution,[],[f71,f4]) ).
fof(f423,plain,
! [X10,X11] :
( ~ c_in(c_Main_OsubsetI__1(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(t_a))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(t_a))))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f416,f18]) ).
fof(f416,plain,
! [X10,X11] :
( ~ c_in(c_Main_OsubsetI__1(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(t_a))))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X10,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(t_a))))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X11,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f71,f277]) ).
fof(f422,plain,
! [X8,X9] :
( ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(t_a)))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(t_a)))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f415,f18]) ).
fof(f415,plain,
! [X8,X9] :
( ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(t_a)))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(t_a)))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X9,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f71,f217]) ).
fof(f421,plain,
! [X6,X7] :
( ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a))))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f414,f18]) ).
fof(f414,plain,
! [X6,X7] :
( ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a))))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a))))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X7,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f71,f160]) ).
fof(f420,plain,
! [X4,X5] :
( ~ c_in(c_Main_OsubsetI__1(X4,v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X4,v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f413,f18]) ).
fof(f413,plain,
! [X4,X5] :
( ~ c_in(c_Main_OsubsetI__1(X4,v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X4,v_xa(v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f71,f111]) ).
fof(f419,plain,
! [X2,X3] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X2,v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f412,f18]) ).
fof(f412,plain,
! [X2,X3] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X2,v_xa(v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a))))))),tc_set(t_a))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X3,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f71,f77]) ).
fof(f418,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(tc_set(t_a))))
| c_lessequals(X0,v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f411,f18]) ).
fof(f411,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))))),t_a),v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| c_lessequals(X0,v_xa(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))))),tc_set(t_a)) ),
inference(resolution,[],[f71,f31]) ).
fof(f71,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a))))),t_a)
| ~ c_in(X1,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(t_a)))),t_a)
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f18,f25]) ).
fof(f402,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X3,X2),X4,tc_set(X2)),X1,X2),X1,tc_set(X2))
| c_in(X0,X1,X2)
| ~ c_in(X0,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X3,X2),X4,tc_set(X2)),X5,X2),c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X3,X2),X4,tc_set(X2)),tc_set(X2))
| ~ c_in(X5,X3,tc_set(X2))
| c_in(c_union(c_insert(X4,c_emptyset,tc_set(tc_set(X2))),c_Zorn_Omaxchain(X3,X2),tc_set(tc_set(X2))),c_Zorn_Ochain(X6,tc_set(X2)),tc_set(tc_set(tc_set(X2))))
| ~ c_in(c_Zorn_Omaxchain(X3,X2),c_Zorn_Ochain(X6,tc_set(X2)),tc_set(tc_set(tc_set(X2))))
| ~ c_in(X4,X6,tc_set(tc_set(X2))) ),
inference(resolution,[],[f171,f5]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(X0,X1,X2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(X3,X5,X2),X3,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(subsumption_resolution,[],[f170,f27]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,X1,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(X3,X5,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f10,f5]) ).
fof(f375,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f374,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f278,f3]) ).
fof(f362,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f357,f1]) ).
fof(f371,plain,
! [X10,X11] :
( ~ c_in(X10,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10))))))))))))),t_a),v_xa(X10),t_a)
| c_lessequals(X11,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10))))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X10)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f361,f277]) ).
fof(f370,plain,
! [X8,X9] :
( ~ c_in(X8,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))))))))),t_a),v_xa(X8),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f361,f217]) ).
fof(f369,plain,
! [X6,X7] :
( ~ c_in(X6,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))))),t_a),v_xa(X6),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f361,f160]) ).
fof(f368,plain,
! [X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f361,f111]) ).
fof(f367,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f361,f77]) ).
fof(f373,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f34,f5,f59,f61,f62,f63,f48,f65,f49,f18,f71,f31,f76,f81,f30,f84,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f171,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f267,f268,f269,f279,f276,f60,f287,f288,f284,f285,f286,f280,f289,f295,f290,f291,f292,f293,f281,f57,f326,f324,f325,f33,f333,f335,f334,f338,f339,f83,f341,f344,f277,f358,f346,f347,f348,f349,f360,f357,f362,f129,f363,f364,f365,f361,f366]) ).
fof(f366,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))))),tc_set(t_a)) ),
inference(resolution,[],[f361,f31]) ).
fof(f361,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f357,f2]) ).
fof(f363,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Zorn_Omaxchain(X3,X2),c_Zorn_Ochain(X6,tc_set(X2)),tc_set(tc_set(tc_set(X2))))
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X3,X2),X4,tc_set(X2)),X1,X2),c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X3,X2),X4,tc_set(X2)),tc_set(X2))
| ~ c_in(X0,X5,X2)
| c_in(c_Zorn_Ochain__extend__1(c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X3,X2),X4,tc_set(X2)),X5,X2),c_Zorn_Ochain__extend__1(c_Zorn_Omaxchain(X3,X2),X4,tc_set(X2)),tc_set(X2))
| ~ c_in(X5,X3,tc_set(X2))
| c_in(c_union(c_insert(X4,c_emptyset,tc_set(tc_set(X2))),c_Zorn_Omaxchain(X3,X2),tc_set(tc_set(X2))),c_Zorn_Ochain(X6,tc_set(X2)),tc_set(tc_set(tc_set(X2))))
| c_in(X0,X1,X2)
| ~ c_in(X4,X6,tc_set(tc_set(X2))) ),
inference(resolution,[],[f129,f5]) ).
fof(f357,plain,
! [X17] :
( c_lessequals(v_xa(X17),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X17))))))),tc_set(t_a))
| ~ c_in(X17,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f356]) ).
fof(f356,plain,
! [X17] :
( c_lessequals(v_xa(X17),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X17))))))),tc_set(t_a))
| ~ c_in(X17,v_S,tc_set(t_a))
| c_lessequals(v_xa(X17),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X17))))))),tc_set(t_a)) ),
inference(resolution,[],[f277,f3]) ).
fof(f360,plain,
! [X16,X15] :
( c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)),t_a)
| c_lessequals(v_S,X16,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f355,f3]) ).
fof(f355,plain,
! [X16,X15] :
( c_lessequals(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X15,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X16,tc_set(t_a))))))))),t_a),c_Main_OsubsetI__1(v_S,X16,tc_set(t_a)),t_a)
| c_lessequals(v_S,X16,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f277,f30]) ).
fof(f349,plain,
! [X8,X9] :
( c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X9)))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X9))))),v_S,tc_set(t_a))
| ~ c_in(X9,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X9)))))))))))),t_a),v_xa(X9),t_a) ),
inference(resolution,[],[f277,f280]) ).
fof(f348,plain,
! [X6,X7] :
( c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X7))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X7)))),v_S,tc_set(t_a))
| ~ c_in(X7,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X7))))))))))),t_a),v_xa(X7),t_a) ),
inference(resolution,[],[f277,f220]) ).
fof(f347,plain,
! [X4,X5] :
( c_lessequals(X4,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X5)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X5))),v_S,tc_set(t_a))
| ~ c_in(X5,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X4,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X5)))))))))),t_a),v_xa(X5),t_a) ),
inference(resolution,[],[f277,f163]) ).
fof(f346,plain,
! [X2,X3] :
( c_lessequals(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X3))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X3)),v_S,tc_set(t_a))
| ~ c_in(X3,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X3))))))))),t_a),v_xa(X3),t_a) ),
inference(resolution,[],[f277,f114]) ).
fof(f277,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1))))))),t_a),v_xa(X1),t_a)
| c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1))))))),tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f266,f12]) ).
fof(f266,plain,
! [X0,X1] :
( c_lessequals(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1))))))),tc_set(t_a))
| ~ c_in(v_xa(X1),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X1))))))),t_a),v_xa(X1),t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f217,f29]) ).
fof(f344,plain,
! [X2] :
( ~ c_lessequals(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f343,f17]) ).
fof(f343,plain,
! [X2] :
( c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)) = v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)))
| ~ c_lessequals(v_xa(c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))),c_Main_OsubsetI__1(v_S,X2,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f341,f1]) ).
fof(f341,plain,
! [X0] :
( c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))),tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(duplicate_literal_removal,[],[f340]) ).
fof(f340,plain,
! [X0] :
( c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f83,f3]) ).
fof(f83,plain,
! [X2,X3] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(c_Main_OsubsetI__1(v_S,X3,tc_set(t_a))),t_a),c_Main_OsubsetI__1(v_S,X3,tc_set(t_a)),t_a)
| c_lessequals(v_S,X3,tc_set(tc_set(t_a)))
| c_lessequals(X2,v_xa(c_Main_OsubsetI__1(v_S,X3,tc_set(t_a))),tc_set(t_a)) ),
inference(resolution,[],[f30,f4]) ).
fof(f339,plain,
! [X2] :
( v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X2,tc_set(tc_set(t_a)))) != v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X2,tc_set(tc_set(t_a)))))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X2,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f334,f14]) ).
fof(f334,plain,
! [X2] :
( c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Omaxchain(v_S,t_a),X2,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X2,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f33,f11]) ).
fof(f335,plain,
! [X3,X6,X4,X5] :
( c_lessequals(c_Zorn_Omaxchain(X3,X4),X5,tc_set(tc_set(tc_set(X4))))
| ~ c_in(X6,X3,tc_set(X4))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X3,X4),X5,tc_set(tc_set(X4))),X6,X4),X6,tc_set(X4))
| c_in(c_union(c_insert(X6,c_emptyset,tc_set(X4)),c_Main_OsubsetI__1(c_Zorn_Omaxchain(X3,X4),X5,tc_set(tc_set(X4))),tc_set(X4)),c_Zorn_Ochain(X3,X4),tc_set(tc_set(X4))) ),
inference(resolution,[],[f33,f6]) ).
fof(f33,plain,
! [X2,X3,X4] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain(X2,X3),X4,tc_set(tc_set(X3))),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| c_lessequals(c_Zorn_Omaxchain(X2,X3),X4,tc_set(tc_set(tc_set(X3)))) ),
inference(resolution,[],[f27,f3]) ).
fof(f324,plain,
! [X3,X6,X4,X5] :
( c_lessequals(c_Zorn_Ochain__extend__1(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),X5,t_a),v_x(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X3,tc_set(t_a))),tc_set(t_a))
| c_in(c_union(c_insert(X5,c_emptyset,tc_set(t_a)),c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),tc_set(t_a)),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X4,v_S,tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(X3,X4,t_a),X3,tc_set(t_a))
| ~ c_in(X3,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),X3,tc_set(t_a)),c_Zorn_Ochain(X6,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X5,X6,tc_set(t_a)) ),
inference(resolution,[],[f57,f5]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X2,v_x(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),X0,tc_set(t_a))),tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,tc_set(t_a)) ),
inference(resolution,[],[f5,f15]) ).
fof(f297,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f296,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f218,f3]) ).
fof(f218,plain,
( ! [X8] :
( ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f213,f39]) ).
fof(f213,plain,
( ! [X8] :
( c_lessequals(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X8,v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f160,f41]) ).
fof(f281,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f276,f1]) ).
fof(f293,plain,
! [X8,X9] :
( ~ c_in(X8,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))))),t_a),v_xa(X8),t_a)
| c_lessequals(X9,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X8))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f280,f217]) ).
fof(f292,plain,
! [X6,X7] :
( ~ c_in(X6,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))),t_a),v_xa(X6),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f280,f160]) ).
fof(f291,plain,
! [X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f280,f111]) ).
fof(f290,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f280,f77]) ).
fof(f295,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f33,f32,f35,f34,f5,f57,f59,f61,f62,f63,f48,f65,f49,f18,f71,f31,f76,f81,f30,f84,f83,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f129,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f171,f164,f28,f202,f203,f204,f160,f209,f210,f219,f216,f220,f222,f227,f223,f224,f225,f221,f72,f58,f238,f239,f243,f241,f242,f206,f217,f277,f267,f268,f269,f279,f276,f281,f60,f287,f288,f284,f285,f286,f280,f289]) ).
fof(f289,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0))))))),tc_set(t_a)) ),
inference(resolution,[],[f280,f31]) ).
fof(f280,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f276,f2]) ).
fof(f285,plain,
! [X10] :
( ~ c_in(v_S,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X10,v_S,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X10,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X10,t_a))
| c_in(v_x(c_union(c_insert(X10,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f60,f11]) ).
fof(f284,plain,
! [X8,X9] :
( ~ c_in(v_S,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X8,v_S,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X8,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X8,t_a))
| c_lessequals(X9,v_x(c_union(c_insert(X8,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a))),tc_set(t_a))
| ~ c_in(X9,c_union(c_insert(X8,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f60,f15]) ).
fof(f60,plain,
! [X3,X4] :
( c_in(c_union(c_insert(X3,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a)),c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_S,c_Zorn_Ochain(X4,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,X4,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X3,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X3,t_a)) ),
inference(resolution,[],[f5,f14]) ).
fof(f279,plain,
! [X12,X13] :
( c_lessequals(X12,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X13,tc_set(t_a)))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X12,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X13,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X13,tc_set(t_a)),t_a)
| c_lessequals(v_S,X13,tc_set(tc_set(t_a))) ),
inference(subsumption_resolution,[],[f274,f3]) ).
fof(f274,plain,
! [X12,X13] :
( c_lessequals(X12,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X13,tc_set(t_a)))))))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X13,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X12,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(c_Main_OsubsetI__1(v_S,X13,tc_set(t_a)))))))),t_a),c_Main_OsubsetI__1(v_S,X13,tc_set(t_a)),t_a)
| c_lessequals(v_S,X13,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f217,f30]) ).
fof(f269,plain,
! [X6,X7] :
( c_lessequals(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X7)))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X7)))),v_S,tc_set(t_a))
| ~ c_in(X7,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X6,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X7)))))))))),t_a),v_xa(X7),t_a) ),
inference(resolution,[],[f217,f220]) ).
fof(f268,plain,
! [X4,X5] :
( c_lessequals(X4,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X5))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X5))),v_S,tc_set(t_a))
| ~ c_in(X5,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X4,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X5))))))))),t_a),v_xa(X5),t_a) ),
inference(resolution,[],[f217,f163]) ).
fof(f267,plain,
! [X2,X3] :
( c_lessequals(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X3)))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X3)),v_S,tc_set(t_a))
| ~ c_in(X3,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X3)))))))),t_a),v_xa(X3),t_a) ),
inference(resolution,[],[f217,f114]) ).
fof(f206,plain,
! [X6] :
( ~ c_in(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X6,tc_set(tc_set(t_a))))),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X6,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X6,tc_set(tc_set(tc_set(t_a)))) ),
inference(subsumption_resolution,[],[f205,f18]) ).
fof(f205,plain,
! [X6] :
( ~ c_in(v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X6,tc_set(tc_set(t_a))))),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X6,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X6,tc_set(tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X6,tc_set(tc_set(t_a)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f28,f24]) ).
fof(f241,plain,
! [X2,X3] :
( c_in(v_x(c_union(c_insert(X2,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(v_S,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X3,c_Zorn_Ochain__extend__1(v_S,X2,t_a),t_a)
| c_in(X3,v_xa(c_Zorn_Ochain__extend__1(v_S,X2,t_a)),t_a) ),
inference(resolution,[],[f58,f25]) ).
fof(f229,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f228,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f161,f3]) ).
fof(f161,plain,
( ! [X5] :
( ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f156,f39]) ).
fof(f156,plain,
( ! [X5] :
( c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f111,f41]) ).
fof(f72,plain,
! [X2] :
( v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a)))) != v_xa(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(t_a)))))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X2,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f18,f14]) ).
fof(f221,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f216,f1]) ).
fof(f225,plain,
! [X6,X7] :
( ~ c_in(X6,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))),t_a),v_xa(X6),t_a)
| c_lessequals(X7,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X6))))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X6)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f220,f160]) ).
fof(f224,plain,
! [X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4)))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X4)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f220,f111]) ).
fof(f223,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X2)))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f220,f77]) ).
fof(f227,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f33,f32,f35,f34,f5,f57,f58,f59,f60,f61,f62,f63,f48,f65,f49,f18,f71,f72,f31,f76,f81,f30,f84,f83,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f129,f111,f154,f162,f159,f163,f165,f169,f166,f167,f10,f171,f164,f28,f202,f203,f204,f206,f160,f217,f209,f210,f219,f216,f221,f220,f222]) ).
fof(f222,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(v_xa(v_xa(X0)))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X0)))))),tc_set(t_a)) ),
inference(resolution,[],[f220,f31]) ).
fof(f220,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(v_xa(X0))))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f216,f2]) ).
fof(f216,plain,
! [X11] :
( c_lessequals(v_xa(X11),v_xa(v_xa(v_xa(v_xa(v_xa(X11))))),tc_set(t_a))
| ~ c_in(X11,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
! [X11] :
( c_lessequals(v_xa(X11),v_xa(v_xa(v_xa(v_xa(v_xa(X11))))),tc_set(t_a))
| ~ c_in(X11,v_S,tc_set(t_a))
| c_lessequals(v_xa(X11),v_xa(v_xa(v_xa(v_xa(v_xa(X11))))),tc_set(t_a)) ),
inference(resolution,[],[f160,f3]) ).
fof(f210,plain,
! [X4,X5] :
( c_lessequals(X4,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X5)))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X5))),v_S,tc_set(t_a))
| ~ c_in(X5,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X4,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X5)))))))),t_a),v_xa(X5),t_a) ),
inference(resolution,[],[f160,f163]) ).
fof(f209,plain,
! [X2,X3] :
( c_lessequals(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X3))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X3)),v_S,tc_set(t_a))
| ~ c_in(X3,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X3))))))),t_a),v_xa(X3),t_a) ),
inference(resolution,[],[f160,f114]) ).
fof(f204,plain,
! [X5] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(tc_set(t_a))))
| v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a))))
| ~ c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X5,tc_set(tc_set(t_a)))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f28,f49]) ).
fof(f28,plain,
! [X0,X1] :
( c_lessequals(X0,v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))),tc_set(t_a))
| ~ c_in(X0,c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f15,f3]) ).
fof(f173,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f172]) ).
fof(f172,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f112,f3]) ).
fof(f112,plain,
( ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X2,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f107,f39]) ).
fof(f107,plain,
( ! [X2] :
( c_lessequals(X2,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f77,f41]) ).
fof(f164,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(X2)))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(v_xa(X2))))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f159,f1]) ).
fof(f167,plain,
! [X4,X5] :
( ~ c_in(X4,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))),t_a),v_xa(X4),t_a)
| c_lessequals(X5,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X4))))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X4))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f163,f111]) ).
fof(f166,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X2)))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(v_xa(X2))),v_S,tc_set(t_a)) ),
inference(resolution,[],[f163,f77]) ).
fof(f169,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(X0))))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(X0))))),tc_set(t_a)) ),
inference(global_subsumption,[],[f10,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f28,f25,f29,f17,f27,f33,f32,f35,f34,f5,f57,f58,f59,f60,f61,f62,f63,f48,f65,f49,f18,f71,f72,f31,f76,f81,f30,f84,f83,f6,f92,f93,f94,f95,f23,f77,f113,f110,f114,f116,f119,f117,f115,f66,f120,f9,f129,f111,f160,f154,f162,f159,f164,f163,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(v_xa(X0))))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(v_xa(X0))),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(v_xa(X0))))),tc_set(t_a)) ),
inference(resolution,[],[f163,f31]) ).
fof(f163,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(v_xa(X0)))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f159,f2]) ).
fof(f159,plain,
! [X8] :
( c_lessequals(v_xa(X8),v_xa(v_xa(v_xa(v_xa(X8)))),tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
! [X8] :
( c_lessequals(v_xa(X8),v_xa(v_xa(v_xa(v_xa(X8)))),tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a))
| c_lessequals(v_xa(X8),v_xa(v_xa(v_xa(v_xa(X8)))),tc_set(t_a)) ),
inference(resolution,[],[f111,f3]) ).
fof(f154,plain,
! [X2,X3] :
( c_lessequals(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X3)))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X3)),v_S,tc_set(t_a))
| ~ c_in(X3,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(X3)))))),t_a),v_xa(X3),t_a) ),
inference(resolution,[],[f111,f114]) ).
fof(f122,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f78,f3]) ).
fof(f78,plain,
( ! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(X2,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f74,f39]) ).
fof(f74,plain,
( ! [X2] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(X2,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f31,f41]) ).
fof(f66,plain,
! [X3,X4] :
( ~ c_in(X3,c_Main_OsubsetI__1(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(t_a)),t_a)
| c_in(X3,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_OHausdorff__1(v_S,t_a),X4,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f48,f3]) ).
fof(f115,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(v_xa(X2))),v_xa(X2),tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(v_xa(X2)))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(resolution,[],[f110,f1]) ).
fof(f117,plain,
! [X2,X3] :
( ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X3,v_xa(v_xa(v_xa(v_xa(v_xa(X2))))),t_a),v_xa(X2),t_a)
| c_lessequals(X3,v_xa(v_xa(v_xa(v_xa(v_xa(X2))))),tc_set(t_a))
| ~ c_in(v_xa(v_xa(X2)),v_S,tc_set(t_a)) ),
inference(resolution,[],[f114,f77]) ).
fof(f119,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(X0)))),t_a),v_xa(X0),t_a)
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(X0)))),tc_set(t_a)) ),
inference(global_subsumption,[],[f10,f9,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f28,f25,f29,f17,f27,f33,f32,f35,f34,f5,f57,f58,f59,f60,f61,f62,f63,f48,f65,f66,f49,f18,f71,f72,f31,f76,f81,f30,f84,f83,f6,f92,f93,f94,f95,f23,f77,f111,f113,f110,f115,f114,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(v_xa(X0)))),t_a),v_xa(X0),t_a)
| ~ c_in(v_xa(v_xa(X0)),v_S,tc_set(t_a))
| c_lessequals(X1,v_xa(v_xa(v_xa(v_xa(X0)))),tc_set(t_a)) ),
inference(resolution,[],[f114,f31]) ).
fof(f114,plain,
! [X0,X1] :
( c_in(X1,v_xa(v_xa(v_xa(X0))),t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_xa(X0),t_a) ),
inference(resolution,[],[f110,f2]) ).
fof(f110,plain,
! [X5] :
( c_lessequals(v_xa(X5),v_xa(v_xa(v_xa(X5))),tc_set(t_a))
| ~ c_in(X5,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f109]) ).
fof(f109,plain,
! [X5] :
( c_lessequals(v_xa(X5),v_xa(v_xa(v_xa(X5))),tc_set(t_a))
| ~ c_in(X5,v_S,tc_set(t_a))
| c_lessequals(v_xa(X5),v_xa(v_xa(v_xa(X5))),tc_set(t_a)) ),
inference(resolution,[],[f77,f3]) ).
fof(f23,plain,
! [X3,X4] :
( ~ c_lessequals(c_Zorn_Ochain(X3,X4),c_Zorn_Omaxchain(X3,X4),tc_set(tc_set(tc_set(X4))))
| c_Zorn_Ochain(X3,X4) = c_Zorn_Omaxchain(X3,X4) ),
inference(resolution,[],[f1,f8]) ).
fof(f86,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f85,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f64,f3]) ).
fof(f30,plain,
! [X2,X3] :
( c_in(X2,v_xa(c_Main_OsubsetI__1(v_S,X3,tc_set(t_a))),t_a)
| ~ c_in(X2,c_Main_OsubsetI__1(v_S,X3,tc_set(t_a)),t_a)
| c_lessequals(v_S,X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f25,f3]) ).
fof(f81,plain,
! [X2] :
( ~ c_lessequals(v_xa(v_xa(X2)),v_xa(X2),tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f80,f16]) ).
fof(f80,plain,
! [X2] :
( ~ c_in(X2,v_S,tc_set(t_a))
| v_xa(X2) = v_xa(v_xa(X2))
| ~ c_lessequals(v_xa(v_xa(X2)),v_xa(X2),tc_set(t_a)) ),
inference(resolution,[],[f76,f1]) ).
fof(f76,plain,
! [X3] :
( c_lessequals(v_xa(X3),v_xa(v_xa(X3)),tc_set(t_a))
| ~ c_in(X3,v_S,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f75,plain,
! [X3] :
( ~ c_in(X3,v_S,tc_set(t_a))
| c_lessequals(v_xa(X3),v_xa(v_xa(X3)),tc_set(t_a))
| c_lessequals(v_xa(X3),v_xa(v_xa(X3)),tc_set(t_a)) ),
inference(resolution,[],[f31,f3]) ).
fof(f18,plain,
! [X1] :
( c_in(v_x(c_Main_OsubsetI__1(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(t_a)))),v_S,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain(v_S,t_a),X1,tc_set(tc_set(tc_set(t_a)))) ),
inference(resolution,[],[f3,f11]) ).
fof(f49,plain,
! [X2] :
( ~ c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X2,tc_set(t_a))
| v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = X2
| ~ c_in(X2,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f34,f1]) ).
fof(f65,plain,
! [X2,X0,X1] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),t_a)
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(X2,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X2,tc_set(t_a)) ),
inference(resolution,[],[f48,f5]) ).
fof(f51,plain,
( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f50,f39]) ).
fof(f50,plain,
( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
inference(resolution,[],[f34,f24]) ).
fof(f42,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))
| ~ spl0_1 ),
inference(resolution,[],[f39,f14]) ).
fof(f35,plain,
c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)),
inference(resolution,[],[f32,f11]) ).
fof(f17,plain,
! [X0] :
( c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) != v_xa(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f3,f14]) ).
fof(f24,plain,
! [X0] :
( ~ c_lessequals(v_xa(X0),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f21,f14]) ).
fof(f21,plain,
! [X0] :
( v_xa(X0) = X0
| ~ c_lessequals(v_xa(X0),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(resolution,[],[f1,f13]) ).
fof(f20,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( c_lessequals(X0,X0,tc_set(X1))
| c_lessequals(X0,X0,tc_set(X1)) ),
inference(resolution,[],[f4,f3]) ).
fof(f16,plain,
! [X0] :
( v_xa(X0) != v_xa(v_xa(X0))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(resolution,[],[f12,f14]) ).
fof(f1116,plain,
( ~ c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| spl0_44 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1115,plain,
( spl0_44
<=> c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1763,plain,
( ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1762,plain,
( $false
| ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(global_subsumption,[],[f1120,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f39,f42,f34,f51,f5,f41,f48,f65,f49,f18,f31,f76,f81,f30,f64,f86,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f78,f122,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f112,f173,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f161,f229,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f280,f289,f295,f290,f291,f292,f293,f281,f218,f297,f57,f324,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f361,f366,f373,f367,f368,f369,f370,f371,f362,f278,f375,f171,f402,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f510,f509,f508,f507,f61,f513,f506,f523,f515,f517,f505,f527,f519,f522,f526,f512,f359,f95,f535,f536,f537,f533,f534,f556,f555,f557,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f514,f521,f610,f612,f611,f613,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f637,f659,f647,f658,f660,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f524,f688,f482,f698,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f516,f737,f525,f763,f762,f638,f798,f797,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f800,f820,f807,f819,f821,f528,f835,f834,f833,f239,f639,f844,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f518,f910,f529,f940,f939,f938,f937,f203,f948,f949,f950,f801,f987,f986,f985,f984,f990,f991,f992,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f989,f1011,f1010,f1012,f997,f530,f1029,f1028,f1027,f1026,f1025,f403,f1035,f1036,f1037,f802,f1040,f238,f1078,f443,f1080,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087,f1098,f1088,f1089,f1090,f1091,f1092,f520,f1082,f364,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1109,f1110,f1111,f1113,f1108,f1165,f461,f1164,f1211,f1319,f1318,f1317,f1316,f1315,f1314,f1313,f1312,f1311,f462,f325,f1374,f1375,f286,f1403,f1404,f1405,f63,f1456,f1457,f1450,f1451,f1452,f1453,f1454,f1455,f326,f1527,f1524,f1525,f404,f1651,f1652,f1653,f1112,f1655,f1656,f1657,f1658,f1659,f1661,f1662,f1150,f365,f1703,f1704,f1705,f1706,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1720,f1721,f1698,f1747]) ).
fof(f1120,plain,
( ! [X42,X43] :
( ~ c_in(X43,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X42,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(X43,X42,t_a) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1119,plain,
( spl0_45
<=> ! [X43,X42] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X42,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X43,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(X43,X42,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1761,plain,
( ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1760,plain,
( $false
| ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(global_subsumption,[],[f1358,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f39,f42,f34,f51,f5,f41,f48,f65,f49,f18,f31,f76,f81,f30,f64,f86,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f78,f122,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f112,f173,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f161,f229,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f280,f289,f295,f290,f291,f292,f293,f281,f218,f297,f57,f324,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f361,f366,f373,f367,f368,f369,f370,f371,f362,f278,f375,f171,f402,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f510,f509,f508,f507,f61,f513,f506,f523,f515,f517,f505,f527,f519,f522,f526,f512,f359,f95,f535,f536,f537,f533,f534,f556,f555,f557,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f514,f521,f610,f612,f611,f613,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f637,f659,f647,f658,f660,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f524,f688,f482,f698,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f516,f737,f525,f763,f762,f638,f798,f797,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f800,f820,f807,f819,f821,f528,f835,f834,f833,f239,f639,f844,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f518,f910,f529,f940,f939,f938,f937,f203,f948,f949,f950,f801,f987,f986,f985,f984,f990,f991,f992,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f989,f1011,f1010,f1012,f997,f530,f1029,f1028,f1027,f1026,f1025,f403,f1035,f1036,f1037,f802,f1040,f238,f1078,f443,f1080,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087,f1098,f1088,f1089,f1090,f1091,f1092,f520,f1082,f364,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1109,f1110,f1111,f1113,f1108,f1165,f461,f1164,f1211,f1319,f1318,f1317,f1316,f1315,f1314,f1313,f1312,f1311,f462,f325,f1374,f1375,f286,f1403,f1404,f1405,f63,f1456,f1457,f1450,f1451,f1452,f1453,f1454,f1455,f326,f1527,f1524,f1525,f404,f1651,f1652,f1653,f1112,f1655,f1656,f1657,f1658,f1659,f1661,f1662,f1150,f365,f1703,f1704,f1705,f1706,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1720,f1721,f1698,f1747]) ).
fof(f1358,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a)) )
| ~ spl0_1
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f1336]) ).
fof(f1336,plain,
( ! [X0] :
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) )
| ~ spl0_1
| ~ spl0_45 ),
inference(resolution,[],[f1289,f64]) ).
fof(f1289,plain,
( ! [X2,X3] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X3,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X2,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X3,tc_set(t_a)) )
| ~ spl0_45 ),
inference(resolution,[],[f1286,f3]) ).
fof(f1286,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),t_a)
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a)) )
| ~ spl0_45 ),
inference(resolution,[],[f1259,f48]) ).
fof(f1259,plain,
( ! [X48] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X48,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X48,tc_set(t_a)) )
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f1258]) ).
fof(f1258,plain,
( ! [X48] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X48,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X48,tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X48,tc_set(t_a)) )
| ~ spl0_45 ),
inference(resolution,[],[f1213,f4]) ).
fof(f1213,plain,
( ! [X3,X4] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X4,t_a),X3,t_a)
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X4,tc_set(t_a)) )
| ~ spl0_45 ),
inference(resolution,[],[f1120,f3]) ).
fof(f1759,plain,
( ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1758]) ).
fof(f1758,plain,
( $false
| ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(global_subsumption,[],[f1348,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f39,f42,f34,f51,f5,f41,f48,f65,f49,f18,f31,f76,f81,f30,f64,f86,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f78,f122,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f112,f173,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f161,f229,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f280,f289,f295,f290,f291,f292,f293,f281,f218,f297,f57,f324,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f361,f366,f373,f367,f368,f369,f370,f371,f362,f278,f375,f171,f402,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f510,f509,f508,f507,f61,f513,f506,f523,f515,f517,f505,f527,f519,f522,f526,f512,f359,f95,f535,f536,f537,f533,f534,f556,f555,f557,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f514,f521,f610,f612,f611,f613,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f637,f659,f647,f658,f660,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f524,f688,f482,f698,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f516,f737,f525,f763,f762,f638,f798,f797,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f800,f820,f807,f819,f821,f528,f835,f834,f833,f239,f639,f844,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f518,f910,f529,f940,f939,f938,f937,f203,f948,f949,f950,f801,f987,f986,f985,f984,f990,f991,f992,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f989,f1011,f1010,f1012,f997,f530,f1029,f1028,f1027,f1026,f1025,f403,f1035,f1036,f1037,f802,f1040,f238,f1078,f443,f1080,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087,f1098,f1088,f1089,f1090,f1091,f1092,f520,f1082,f364,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1109,f1110,f1111,f1113,f1108,f1165,f461,f1164,f1211,f1319,f1318,f1317,f1316,f1315,f1314,f1313,f1312,f1311,f462,f325,f1374,f1375,f286,f1403,f1404,f1405,f63,f1456,f1457,f1450,f1451,f1452,f1453,f1454,f1455,f326,f1527,f1524,f1525,f404,f1651,f1652,f1653,f1112,f1655,f1656,f1657,f1658,f1659,f1661,f1662,f1150,f365,f1703,f1704,f1705,f1706,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1720,f1721,f1698,f1747]) ).
fof(f1348,plain,
( ! [X13] :
( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X13,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X13,tc_set(t_a)) )
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f1347]) ).
fof(f1347,plain,
( ! [X13] :
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X13,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X13,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X13,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) )
| ~ spl0_45 ),
inference(resolution,[],[f1289,f4]) ).
fof(f1757,plain,
( ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1756]) ).
fof(f1756,plain,
( $false
| ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(global_subsumption,[],[f1357,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f39,f42,f34,f51,f5,f41,f48,f65,f49,f18,f31,f76,f81,f30,f64,f86,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f78,f122,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f112,f173,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f161,f229,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f280,f289,f295,f290,f291,f292,f293,f281,f218,f297,f57,f324,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f361,f366,f373,f367,f368,f369,f370,f371,f362,f278,f375,f171,f402,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f510,f509,f508,f507,f61,f513,f506,f523,f515,f517,f505,f527,f519,f522,f526,f512,f359,f95,f535,f536,f537,f533,f534,f556,f555,f557,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f514,f521,f610,f612,f611,f613,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f637,f659,f647,f658,f660,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f524,f688,f482,f698,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f516,f737,f525,f763,f762,f638,f798,f797,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f800,f820,f807,f819,f821,f528,f835,f834,f833,f239,f639,f844,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f518,f910,f529,f940,f939,f938,f937,f203,f948,f949,f950,f801,f987,f986,f985,f984,f990,f991,f992,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f989,f1011,f1010,f1012,f997,f530,f1029,f1028,f1027,f1026,f1025,f403,f1035,f1036,f1037,f802,f1040,f238,f1078,f443,f1080,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087,f1098,f1088,f1089,f1090,f1091,f1092,f520,f1082,f364,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1109,f1110,f1111,f1113,f1108,f1165,f461,f1164,f1211,f1319,f1318,f1317,f1316,f1315,f1314,f1313,f1312,f1311,f462,f325,f1374,f1375,f286,f1403,f1404,f1405,f63,f1456,f1457,f1450,f1451,f1452,f1453,f1454,f1455,f326,f1527,f1524,f1525,f404,f1651,f1652,f1653,f1112,f1655,f1656,f1657,f1658,f1659,f1661,f1662,f1150,f365,f1703,f1704,f1705,f1706,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1720,f1721,f1698,f1747]) ).
fof(f1357,plain,
( ! [X1] :
( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X1,tc_set(t_a)) )
| ~ spl0_1
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f1337]) ).
fof(f1337,plain,
( ! [X1] :
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X1,tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) )
| ~ spl0_1
| ~ spl0_45 ),
inference(resolution,[],[f1289,f78]) ).
fof(f1755,plain,
( ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1754]) ).
fof(f1754,plain,
( $false
| ~ spl0_1
| ~ spl0_45
| ~ spl0_46
| spl0_55 ),
inference(global_subsumption,[],[f1259,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f39,f42,f34,f51,f5,f41,f48,f65,f49,f18,f31,f76,f81,f30,f64,f86,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f78,f122,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f112,f173,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f161,f229,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f280,f289,f295,f290,f291,f292,f293,f281,f218,f297,f57,f324,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f361,f366,f373,f367,f368,f369,f370,f371,f362,f278,f375,f171,f402,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f510,f509,f508,f507,f61,f513,f506,f523,f515,f517,f505,f527,f519,f522,f526,f512,f359,f95,f535,f536,f537,f533,f534,f556,f555,f557,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f514,f521,f610,f612,f611,f613,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f637,f659,f647,f658,f660,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f524,f688,f482,f698,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f516,f737,f525,f763,f762,f638,f798,f797,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f800,f820,f807,f819,f821,f528,f835,f834,f833,f239,f639,f844,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f518,f910,f529,f940,f939,f938,f937,f203,f948,f949,f950,f801,f987,f986,f985,f984,f990,f991,f992,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f989,f1011,f1010,f1012,f997,f530,f1029,f1028,f1027,f1026,f1025,f403,f1035,f1036,f1037,f802,f1040,f238,f1078,f443,f1080,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087,f1098,f1088,f1089,f1090,f1091,f1092,f520,f1082,f364,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1109,f1110,f1111,f1113,f1108,f1165,f461,f1164,f1211,f1319,f1318,f1317,f1316,f1315,f1314,f1313,f1312,f1311,f462,f325,f1374,f1375,f286,f1403,f1404,f1405,f63,f1456,f1457,f1450,f1451,f1452,f1453,f1454,f1455,f326,f1527,f1524,f1525,f404,f1651,f1652,f1653,f1112,f1655,f1656,f1657,f1658,f1659,f1661,f1662,f1150,f365,f1703,f1704,f1705,f1706,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1720,f1721,f1698,f1747]) ).
fof(f1753,plain,
( ~ spl0_1
| ~ spl0_46
| ~ spl0_53
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1752,plain,
( $false
| ~ spl0_1
| ~ spl0_46
| ~ spl0_53
| spl0_55 ),
inference(global_subsumption,[],[f1691,f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f39,f42,f34,f51,f5,f41,f48,f65,f49,f18,f31,f76,f81,f30,f64,f86,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f78,f122,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f112,f173,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f161,f229,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f280,f289,f295,f290,f291,f292,f293,f281,f218,f297,f57,f324,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f361,f366,f373,f367,f368,f369,f370,f371,f362,f278,f375,f171,f402,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f510,f509,f508,f507,f61,f513,f506,f523,f515,f517,f505,f527,f519,f522,f526,f512,f359,f95,f535,f536,f537,f533,f534,f556,f555,f557,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f514,f521,f610,f612,f611,f613,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f637,f659,f647,f658,f660,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f524,f688,f482,f698,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f516,f737,f525,f763,f762,f638,f798,f797,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f800,f820,f807,f819,f821,f528,f835,f834,f833,f239,f639,f844,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f518,f910,f529,f940,f939,f938,f937,f203,f948,f949,f950,f801,f987,f986,f985,f984,f990,f991,f992,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f989,f1011,f1010,f1012,f997,f530,f1029,f1028,f1027,f1026,f1025,f403,f1035,f1036,f1037,f802,f1040,f238,f1078,f443,f1080,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087,f1098,f1088,f1089,f1090,f1091,f1092,f520,f1082,f364,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1109,f1110,f1111,f1113,f1108,f1165,f461,f1164,f1211,f1319,f1318,f1317,f1316,f1315,f1314,f1313,f1312,f1311,f462,f325,f1374,f1375,f286,f1403,f1404,f1405,f63,f1456,f1457,f1450,f1451,f1452,f1453,f1454,f1455,f326,f1527,f1524,f1525,f404,f1651,f1652,f1653,f1112,f1655,f1656,f1657,f1658,f1659,f1661,f1662,f1150,f365,f1703,f1704,f1705,f1706,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1720,f1721,f1698,f1747]) ).
fof(f1691,plain,
( ! [X2,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a))
| ~ c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_in(X1,X2,t_a) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f1690,plain,
( spl0_53
<=> ! [X2,X1] :
( c_in(X1,X2,t_a)
| ~ c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1751,plain,
( ~ spl0_1
| ~ spl0_46
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f1750]) ).
fof(f1750,plain,
( $false
| ~ spl0_1
| ~ spl0_46
| spl0_55 ),
inference(global_subsumption,[],[f14,f12,f13,f16,f7,f11,f8,f3,f4,f20,f1,f24,f2,f15,f25,f29,f17,f27,f32,f35,f39,f42,f34,f51,f5,f41,f48,f65,f49,f18,f31,f76,f81,f30,f64,f86,f6,f94,f23,f77,f110,f114,f116,f119,f117,f115,f66,f78,f122,f9,f111,f154,f159,f163,f165,f169,f166,f167,f10,f164,f112,f173,f28,f204,f160,f209,f210,f216,f220,f222,f227,f223,f224,f225,f221,f72,f161,f229,f58,f241,f206,f217,f267,f268,f269,f279,f276,f60,f284,f285,f280,f289,f295,f290,f291,f292,f293,f281,f218,f297,f57,f324,f33,f335,f334,f339,f83,f341,f344,f277,f346,f347,f348,f349,f360,f357,f129,f363,f361,f366,f373,f367,f368,f369,f370,f371,f362,f278,f375,f171,f402,f71,f418,f419,f420,f421,f422,f423,f417,f333,f425,f426,f428,f84,f430,f431,f433,f440,f434,f441,f435,f442,f436,f437,f444,f438,f338,f452,f453,f454,f455,f456,f457,f451,f432,f62,f460,f358,f464,f466,f467,f468,f469,f470,f483,f484,f485,f480,f486,f488,f496,f489,f490,f491,f492,f493,f494,f487,f120,f504,f510,f509,f508,f507,f61,f513,f506,f523,f515,f517,f505,f527,f519,f522,f526,f512,f359,f95,f535,f536,f537,f533,f534,f556,f555,f557,f93,f574,f575,f576,f113,f578,f579,f581,f589,f582,f590,f583,f591,f584,f592,f585,f593,f586,f587,f580,f514,f521,f610,f612,f611,f613,f481,f616,f618,f619,f621,f622,f623,f624,f625,f640,f641,f642,f92,f643,f644,f645,f635,f646,f648,f657,f649,f650,f651,f652,f653,f654,f655,f637,f659,f647,f658,f660,f202,f664,f662,f663,f242,f424,f676,f674,f675,f287,f243,f677,f524,f688,f482,f698,f288,f162,f735,f736,f738,f747,f739,f748,f740,f749,f741,f750,f742,f751,f743,f744,f745,f516,f737,f525,f763,f762,f638,f798,f797,f774,f776,f777,f779,f780,f782,f783,f784,f785,f786,f803,f804,f805,f796,f806,f808,f818,f809,f810,f811,f812,f813,f814,f815,f816,f800,f820,f807,f819,f821,f528,f835,f834,f833,f239,f639,f844,f59,f896,f897,f885,f898,f899,f900,f901,f902,f903,f904,f905,f906,f895,f219,f908,f909,f911,f921,f912,f922,f913,f923,f914,f924,f915,f925,f916,f917,f918,f919,f518,f910,f529,f940,f939,f938,f937,f203,f948,f949,f950,f801,f987,f986,f985,f984,f990,f991,f992,f993,f994,f995,f962,f964,f965,f967,f968,f970,f971,f973,f974,f975,f976,f977,f983,f996,f998,f1009,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f989,f1011,f1010,f1012,f997,f530,f1029,f1028,f1027,f1026,f1025,f403,f1035,f1036,f1037,f802,f1040,f238,f1078,f443,f1080,f1081,f1083,f1094,f1084,f1095,f1085,f1096,f1086,f1097,f1087,f1098,f1088,f1089,f1090,f1091,f1092,f520,f1082,f364,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f1107,f1109,f1110,f1111,f1113,f1108,f1165,f461,f1164,f1211,f1319,f1318,f1317,f1316,f1315,f1314,f1313,f1312,f1311,f462,f325,f1374,f1375,f286,f1403,f1404,f1405,f63,f1456,f1457,f1450,f1451,f1452,f1453,f1454,f1455,f326,f1527,f1524,f1525,f404,f1651,f1652,f1653,f1112,f1655,f1656,f1657,f1658,f1659,f1661,f1662,f1150,f365,f1703,f1704,f1705,f1706,f1708,f1709,f1710,f1711,f1712,f1713,f1714,f1715,f1716,f1717,f1718,f1720,f1721,f1698,f1747]) ).
fof(f1749,plain,
( spl0_55
| ~ spl0_1
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1743,f1115,f37,f1746]) ).
fof(f1743,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f1724]) ).
fof(f1724,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_44 ),
inference(resolution,[],[f1702,f78]) ).
fof(f1702,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,tc_set(t_a)) )
| ~ spl0_44 ),
inference(resolution,[],[f1696,f3]) ).
fof(f1696,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_44 ),
inference(resolution,[],[f1117,f48]) ).
fof(f1117,plain,
( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1695,plain,
( spl0_53
| spl0_54
| spl0_44 ),
inference(avatar_split_clause,[],[f1669,f1115,f1693,f1690]) ).
fof(f1693,plain,
( spl0_54
<=> ! [X0] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1669,plain,
( ! [X2,X0,X1] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a))
| c_in(X1,X2,t_a)
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a))
| ~ c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| spl0_44 ),
inference(subsumption_resolution,[],[f1663,f27]) ).
fof(f1663,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a))
| c_in(X1,X2,t_a)
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a))
| ~ c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| spl0_44 ),
inference(resolution,[],[f1205,f10]) ).
fof(f1205,plain,
( ! [X0] :
( c_in(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),X0,tc_set(t_a)) )
| spl0_44 ),
inference(resolution,[],[f1116,f5]) ).
fof(f1688,plain,
( ~ spl0_52
| ~ spl0_1
| spl0_44
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1683,f1158,f1115,f37,f1685]) ).
fof(f1685,plain,
( spl0_52
<=> c_in(v_xa(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)))),c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1158,plain,
( spl0_47
<=> c_in(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1683,plain,
( ~ c_in(v_xa(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)))),c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),tc_set(t_a))
| ~ spl0_1
| spl0_44
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f1682,f1160]) ).
fof(f1160,plain,
( c_in(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1682,plain,
( ~ c_in(v_xa(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)))),c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),tc_set(t_a))
| ~ c_in(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| ~ spl0_1
| spl0_44 ),
inference(resolution,[],[f1671,f24]) ).
fof(f1671,plain,
( ! [X6] :
( c_lessequals(X6,v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),tc_set(t_a))
| ~ c_in(X6,c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),tc_set(t_a)) )
| ~ spl0_1
| spl0_44 ),
inference(subsumption_resolution,[],[f1670,f39]) ).
fof(f1670,plain,
( ! [X6] :
( ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(X6,v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),tc_set(t_a))
| ~ c_in(X6,c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),tc_set(t_a)) )
| spl0_44 ),
inference(subsumption_resolution,[],[f1665,f32]) ).
fof(f1665,plain,
( ! [X6] :
( ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(X6,v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),tc_set(t_a))
| ~ c_in(X6,c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),tc_set(t_a)) )
| spl0_44 ),
inference(resolution,[],[f1205,f15]) ).
fof(f1328,plain,
( ~ spl0_51
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1209,f1158,f1325]) ).
fof(f1325,plain,
( spl0_51
<=> v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))) = v_xa(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1209,plain,
( v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))) != v_xa(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))))
| ~ spl0_47 ),
inference(resolution,[],[f1160,f14]) ).
fof(f1322,plain,
( ~ spl0_1
| ~ spl0_46
| spl0_50 ),
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1321,plain,
( $false
| ~ spl0_1
| ~ spl0_46
| spl0_50 ),
inference(subsumption_resolution,[],[f1320,f1201]) ).
fof(f1201,plain,
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| spl0_50 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1320,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f1298]) ).
fof(f1298,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1211,f64]) ).
fof(f1203,plain,
( spl0_50
| ~ spl0_1
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1198,f1115,f37,f1200]) ).
fof(f1198,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f1177]) ).
fof(f1177,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_1
| ~ spl0_44 ),
inference(resolution,[],[f1167,f64]) ).
fof(f1167,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,tc_set(t_a)) )
| ~ spl0_44 ),
inference(resolution,[],[f1162,f3]) ).
fof(f1162,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_44 ),
inference(resolution,[],[f1117,f48]) ).
fof(f1176,plain,
( ~ spl0_48
| spl0_49
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1165,f1148,f1173,f1169]) ).
fof(f1169,plain,
( spl0_48
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1173,plain,
( spl0_49
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1161,plain,
( spl0_47
| ~ spl0_1
| spl0_44 ),
inference(avatar_split_clause,[],[f1155,f1115,f37,f1158]) ).
fof(f1155,plain,
( c_in(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| ~ spl0_1
| spl0_44 ),
inference(subsumption_resolution,[],[f1154,f32]) ).
fof(f1154,plain,
( c_in(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_1
| spl0_44 ),
inference(subsumption_resolution,[],[f1152,f39]) ).
fof(f1152,plain,
( c_in(v_x(c_union(c_insert(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),c_emptyset,tc_set(t_a)),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))),v_S,tc_set(t_a))
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_44 ),
inference(resolution,[],[f1116,f58]) ).
fof(f1151,plain,
( spl0_46
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1136,f1115,f1148]) ).
fof(f1136,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f1135]) ).
fof(f1135,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_44 ),
inference(resolution,[],[f1124,f4]) ).
fof(f1124,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),X0,tc_set(t_a)) )
| ~ spl0_44 ),
inference(resolution,[],[f1122,f3]) ).
fof(f1122,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),t_a)
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) )
| ~ spl0_44 ),
inference(resolution,[],[f1117,f48]) ).
fof(f1121,plain,
( spl0_44
| spl0_45
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1108,f37,f1119,f1115]) ).
fof(f1076,plain,
( ~ spl0_43
| ~ spl0_40
| spl0_42 ),
inference(avatar_split_clause,[],[f1071,f1067,f1043,f1073]) ).
fof(f1073,plain,
( spl0_43
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1043,plain,
( spl0_40
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1067,plain,
( spl0_42
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1071,plain,
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_40
| spl0_42 ),
inference(subsumption_resolution,[],[f1049,f1068]) ).
fof(f1068,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))
| spl0_42 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1049,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_40 ),
inference(resolution,[],[f1045,f1]) ).
fof(f1045,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),tc_set(t_a))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1070,plain,
( ~ spl0_41
| spl0_42
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1047,f1043,f1067,f1063]) ).
fof(f1063,plain,
( spl0_41
<=> c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1047,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_40 ),
inference(resolution,[],[f1045,f49]) ).
fof(f1046,plain,
( spl0_40
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1040,f37,f1043]) ).
fof(f879,plain,
( ~ spl0_39
| ~ spl0_36
| spl0_38 ),
inference(avatar_split_clause,[],[f874,f870,f847,f876]) ).
fof(f876,plain,
( spl0_39
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f847,plain,
( spl0_36
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f870,plain,
( spl0_38
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f874,plain,
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_36
| spl0_38 ),
inference(subsumption_resolution,[],[f853,f871]) ).
fof(f871,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))
| spl0_38 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f853,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_36 ),
inference(resolution,[],[f849,f1]) ).
fof(f849,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),tc_set(t_a))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f873,plain,
( ~ spl0_37
| spl0_38
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f851,f847,f870,f866]) ).
fof(f866,plain,
( spl0_37
<=> c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f851,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_36 ),
inference(resolution,[],[f849,f49]) ).
fof(f850,plain,
( spl0_36
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f844,f37,f847]) ).
fof(f732,plain,
( ~ spl0_35
| ~ spl0_32
| spl0_34 ),
inference(avatar_split_clause,[],[f727,f723,f701,f729]) ).
fof(f729,plain,
( spl0_35
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f701,plain,
( spl0_32
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f723,plain,
( spl0_34
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f727,plain,
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_32
| spl0_34 ),
inference(subsumption_resolution,[],[f707,f724]) ).
fof(f724,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))
| spl0_34 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f707,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_32 ),
inference(resolution,[],[f703,f1]) ).
fof(f703,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),tc_set(t_a))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f726,plain,
( ~ spl0_33
| spl0_34
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f705,f701,f723,f719]) ).
fof(f719,plain,
( spl0_33
<=> c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f705,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_32 ),
inference(resolution,[],[f703,f49]) ).
fof(f704,plain,
( spl0_32
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f698,f37,f701]) ).
fof(f672,plain,
( ~ spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f242,f670,f666]) ).
fof(f666,plain,
( spl0_30
<=> c_in(v_S,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f670,plain,
( spl0_31
<=> ! [X4] :
( c_in(v_x(c_union(c_insert(X4,c_emptyset,tc_set(t_a)),v_S,tc_set(t_a))),v_S,tc_set(t_a))
| c_Zorn_Ochain__extend__1(v_S,X4,t_a) != v_xa(c_Zorn_Ochain__extend__1(v_S,X4,t_a))
| ~ c_in(X4,v_S,tc_set(t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f572,plain,
( ~ spl0_29
| ~ spl0_26
| spl0_28 ),
inference(avatar_split_clause,[],[f567,f563,f539,f569]) ).
fof(f569,plain,
( spl0_29
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f539,plain,
( spl0_26
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f563,plain,
( spl0_28
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f567,plain,
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_26
| spl0_28 ),
inference(subsumption_resolution,[],[f545,f564]) ).
fof(f564,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))
| spl0_28 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f545,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_26 ),
inference(resolution,[],[f541,f1]) ).
fof(f541,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),tc_set(t_a))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f566,plain,
( ~ spl0_27
| spl0_28
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f543,f539,f563,f559]) ).
fof(f559,plain,
( spl0_27
<=> c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f543,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_26 ),
inference(resolution,[],[f541,f49]) ).
fof(f542,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f533,f37,f539]) ).
fof(f409,plain,
( ~ spl0_25
| ~ spl0_22
| spl0_24 ),
inference(avatar_split_clause,[],[f401,f397,f377,f406]) ).
fof(f406,plain,
( spl0_25
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f377,plain,
( spl0_22
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f397,plain,
( spl0_24
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f401,plain,
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_22
| spl0_24 ),
inference(subsumption_resolution,[],[f383,f398]) ).
fof(f398,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))
| spl0_24 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f383,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_22 ),
inference(resolution,[],[f379,f1]) ).
fof(f379,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),tc_set(t_a))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f400,plain,
( ~ spl0_23
| spl0_24
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f381,f377,f397,f393]) ).
fof(f393,plain,
( spl0_23
<=> c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f381,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_22 ),
inference(resolution,[],[f379,f49]) ).
fof(f380,plain,
( spl0_22
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f375,f37,f377]) ).
fof(f331,plain,
( ~ spl0_21
| ~ spl0_18
| spl0_20 ),
inference(avatar_split_clause,[],[f322,f318,f299,f328]) ).
fof(f328,plain,
( spl0_21
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f299,plain,
( spl0_18
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f318,plain,
( spl0_20
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f322,plain,
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_18
| spl0_20 ),
inference(subsumption_resolution,[],[f305,f319]) ).
fof(f319,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))
| spl0_20 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f305,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_18 ),
inference(resolution,[],[f301,f1]) ).
fof(f301,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),tc_set(t_a))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f321,plain,
( ~ spl0_19
| spl0_20
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f303,f299,f318,f314]) ).
fof(f314,plain,
( spl0_19
<=> c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f303,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_18 ),
inference(resolution,[],[f301,f49]) ).
fof(f302,plain,
( spl0_18
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f297,f37,f299]) ).
fof(f264,plain,
( ~ spl0_17
| ~ spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f259,f255,f231,f261]) ).
fof(f261,plain,
( spl0_17
<=> c_lessequals(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f231,plain,
( spl0_14
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f255,plain,
( spl0_16
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f259,plain,
( ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_14
| spl0_16 ),
inference(subsumption_resolution,[],[f237,f256]) ).
fof(f256,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))
| spl0_16 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f237,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_14 ),
inference(resolution,[],[f233,f1]) ).
fof(f233,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),tc_set(t_a))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f258,plain,
( ~ spl0_15
| spl0_16
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f235,f231,f255,f251]) ).
fof(f251,plain,
( spl0_15
<=> c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f235,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))))
| ~ c_in(v_xa(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_14 ),
inference(resolution,[],[f233,f49]) ).
fof(f234,plain,
( spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f229,f37,f231]) ).
fof(f201,plain,
( ~ spl0_13
| ~ spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f196,f192,f175,f198]) ).
fof(f198,plain,
( spl0_13
<=> c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f175,plain,
( spl0_10
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f192,plain,
( spl0_12
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f196,plain,
( ~ c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f181,f193]) ).
fof(f193,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))
| spl0_12 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f181,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))
| ~ c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_10 ),
inference(resolution,[],[f177,f1]) ).
fof(f177,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),tc_set(t_a))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f195,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f179,f175,f192,f188]) ).
fof(f188,plain,
( spl0_11
<=> c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f179,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))))
| ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_10 ),
inference(resolution,[],[f177,f49]) ).
fof(f178,plain,
( spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f173,f37,f175]) ).
fof(f151,plain,
( ~ spl0_9
| ~ spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f146,f142,f124,f148]) ).
fof(f148,plain,
( spl0_9
<=> c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f124,plain,
( spl0_6
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f142,plain,
( spl0_8
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f146,plain,
( ~ c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f132,f143]) ).
fof(f143,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))
| spl0_8 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f132,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))
| ~ c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_6 ),
inference(resolution,[],[f126,f1]) ).
fof(f126,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f145,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f130,f124,f142,f138]) ).
fof(f138,plain,
( spl0_7
<=> c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f130,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))
| ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ spl0_6 ),
inference(resolution,[],[f126,f49]) ).
fof(f127,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f122,f37,f124]) ).
fof(f104,plain,
( ~ spl0_5
| spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f99,f88,f44,f101]) ).
fof(f44,plain,
( spl0_2
<=> v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f88,plain,
( spl0_4
<=> c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f99,plain,
( ~ c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f98,f46]) ).
fof(f46,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))
| spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f98,plain,
( v_x(c_Zorn_OHausdorff__1(v_S,t_a)) = v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))
| ~ c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ spl0_4 ),
inference(resolution,[],[f90,f1]) ).
fof(f90,plain,
( c_lessequals(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f86,f37,f88]) ).
fof(f56,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f51,f37,f53]) ).
fof(f53,plain,
( spl0_3
<=> c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f47,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f42,f37,f44]) ).
fof(f40,plain,
spl0_1,
inference(avatar_split_clause,[],[f35,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 30 15:40:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.40 % (19406)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (19407)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.41 % (19408)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.41 % (19410)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.41 % (19409)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.41 % (19411)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.20/0.41 % (19413)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.20/0.41 % (19412)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.20/0.42 TRYING [3]
% 0.20/0.42 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.45 TRYING [4]
% 0.20/0.46 TRYING [3]
% 0.20/0.52 TRYING [5]
% 0.20/0.56 TRYING [4]
% 0.20/0.63 % (19409)First to succeed.
% 0.20/0.65 % (19409)Refutation found. Thanks to Tanya!
% 0.20/0.65 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.65 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.66 % (19409)------------------------------
% 0.20/0.66 % (19409)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.66 % (19409)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.66 % (19409)Termination reason: Refutation
% 0.20/0.66
% 0.20/0.66 % (19409)Memory used [KB]: 9210
% 0.20/0.66 % (19409)Time elapsed: 0.243 s
% 0.20/0.66 % (19409)------------------------------
% 0.20/0.66 % (19409)------------------------------
% 0.20/0.66 % (19406)Success in time 0.31 s
% 0.20/0.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------