TSTP Solution File: SET863-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET863-1 : 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 : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 15:46:06 EDT 2023

% Result   : Unsatisfiable 0.25s 0.52s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   65 (  15 unt;   0 def)
%            Number of atoms       :  165 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  191 (  91   ~;  96   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :  109 (; 109   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1693,plain,
    $false,
    inference(subsumption_resolution,[],[f1692,f1370]) ).

fof(f1370,axiom,
    ~ c_in(v_xa,v_y,t_a),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_conjecture_6) ).

fof(f1692,plain,
    c_in(v_xa,v_y,t_a),
    inference(resolution,[],[f1685,f1369]) ).

fof(f1369,axiom,
    c_in(v_xa,v_x,t_a),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_conjecture_5) ).

fof(f1685,plain,
    ! [X1] :
      ( ~ c_in(X1,v_x,t_a)
      | c_in(X1,v_y,t_a) ),
    inference(resolution,[],[f1675,f1654]) ).

fof(f1654,plain,
    sP0(v_x,t_a,v_c),
    inference(subsumption_resolution,[],[f1650,f1364]) ).

fof(f1364,axiom,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_conjecture_0) ).

fof(f1650,plain,
    ( ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
    | sP0(v_x,t_a,v_c) ),
    inference(resolution,[],[f1599,f1372]) ).

fof(f1372,plain,
    ! [X2,X40,X0,X34] :
      ( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X34,tc_set(X2)),c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
      | sP0(X0,X2,X34) ),
    inference(cnf_transformation,[],[f1372_D]) ).

fof(f1372_D,plain,
    ! [X34,X2,X0] :
      ( ! [X40] :
          ( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X34,tc_set(X2)),c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2)))
          | ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2))) )
    <=> ~ sP0(X0,X2,X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f1599,plain,
    c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(subsumption_resolution,[],[f1598,f1591]) ).

fof(f1591,plain,
    ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a),
    inference(resolution,[],[f1578,f1516]) ).

fof(f1516,plain,
    ! [X0] :
      ( c_in(X0,v_x,t_a)
      | ~ c_in(X0,v_y,t_a) ),
    inference(resolution,[],[f1368,f306]) ).

fof(f306,axiom,
    ! [X2,X34,X15,X13] :
      ( ~ c_lessequals(X13,X15,tc_set(X2))
      | c_in(X34,X15,X2)
      | ~ c_in(X34,X13,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_Set_OsubsetD_0) ).

fof(f1368,axiom,
    c_lessequals(v_y,v_x,tc_set(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_conjecture_4) ).

fof(f1578,plain,
    ~ c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_x,t_a),
    inference(resolution,[],[f1571,f308]) ).

fof(f308,axiom,
    ! [X2,X15,X13] :
      ( c_lessequals(X13,X15,tc_set(X2))
      | ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_Set_OsubsetI_1) ).

fof(f1571,plain,
    ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)),
    inference(subsumption_resolution,[],[f1570,f1369]) ).

fof(f1570,plain,
    ( ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
    | ~ c_in(v_xa,v_x,t_a) ),
    inference(resolution,[],[f1560,f1370]) ).

fof(f1560,plain,
    ! [X1] :
      ( c_in(X1,v_y,t_a)
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
      | ~ c_in(X1,v_x,t_a) ),
    inference(duplicate_literal_removal,[],[f1559]) ).

fof(f1559,plain,
    ! [X1] :
      ( ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
      | c_in(X1,v_y,t_a)
      | ~ c_in(X1,v_x,t_a)
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
    inference(resolution,[],[f1556,f1536]) ).

fof(f1536,plain,
    ( sP0(v_x,t_a,v_c)
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
    inference(subsumption_resolution,[],[f1532,f1364]) ).

fof(f1532,plain,
    ( ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
    | ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
    | sP0(v_x,t_a,v_c) ),
    inference(resolution,[],[f1525,f1372]) ).

fof(f1525,plain,
    ( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
    inference(resolution,[],[f1519,f1367]) ).

fof(f1367,axiom,
    c_in(v_x,v_S,tc_set(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_conjecture_3) ).

fof(f1519,plain,
    ! [X1] :
      ( ~ c_in(X1,v_S,tc_set(t_a))
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))
      | c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1365,f1360]) ).

fof(f1360,axiom,
    ! [X40,X2,X19,X34] :
      ( ~ c_in(X34,c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X19,X40,tc_set(X2))
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(X34,X19,X2),X19,tc_set(X2))
      | c_in(c_union(c_insert(X19,c_emptyset,tc_set(X2)),X34,tc_set(X2)),c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_Zorn_Ochain__extend_1) ).

fof(f1365,axiom,
    c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_conjecture_1) ).

fof(f1556,plain,
    ! [X0,X1] :
      ( ~ sP0(X1,t_a,v_c)
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
      | c_in(X0,v_y,t_a)
      | ~ c_in(X0,X1,t_a) ),
    inference(resolution,[],[f1551,f1374]) ).

fof(f1374,plain,
    ! [X2,X0,X19,X34] :
      ( sP1(X19,X2,X34)
      | ~ sP0(X0,X2,X34)
      | ~ c_in(X19,X0,X2) ),
    inference(cnf_transformation,[],[f1374_D]) ).

fof(f1374_D,plain,
    ! [X34,X2,X19] :
      ( ! [X0] :
          ( ~ sP0(X0,X2,X34)
          | ~ c_in(X19,X0,X2) )
    <=> ~ sP1(X19,X2,X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f1551,plain,
    ! [X0] :
      ( ~ sP1(X0,t_a,v_c)
      | c_in(X0,v_y,t_a)
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
    inference(subsumption_resolution,[],[f1548,f1370]) ).

fof(f1548,plain,
    ! [X0] :
      ( c_in(v_xa,v_y,t_a)
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
      | c_in(X0,v_y,t_a)
      | ~ sP1(X0,t_a,v_c) ),
    inference(resolution,[],[f1544,f1375]) ).

fof(f1375,plain,
    ! [X2,X19,X34,X23] :
      ( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X34,X23,X2),X23,tc_set(X2))
      | c_in(X19,X23,X2)
      | ~ sP1(X19,X2,X34) ),
    inference(general_splitting,[],[f1373,f1374_D]) ).

fof(f1373,plain,
    ! [X2,X0,X19,X34,X23] :
      ( ~ c_in(X19,X0,X2)
      | c_in(X19,X23,X2)
      | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X34,X23,X2),X23,tc_set(X2))
      | ~ sP0(X0,X2,X34) ),
    inference(general_splitting,[],[f1363,f1372_D]) ).

fof(f1363,axiom,
    ! [X2,X40,X0,X19,X34,X23] :
      ( ~ c_in(X19,X0,X2)
      | c_in(X19,X23,X2)
      | ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X34,X23,X2),X23,tc_set(X2))
      | ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X34,tc_set(X2)),c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_Zorn_Omaxchain__super__lemma_1) ).

fof(f1544,plain,
    ! [X2] :
      ( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))
      | c_in(v_xa,X2,t_a)
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
    inference(resolution,[],[f1542,f1369]) ).

fof(f1542,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,v_x,t_a)
      | c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a))
      | c_in(X1,X0,t_a)
      | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
    inference(resolution,[],[f1537,f1521]) ).

fof(f1521,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X2,t_a,v_c)
      | c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_y,tc_set(t_a))
      | c_in(X0,X1,t_a)
      | ~ c_in(X0,X2,t_a) ),
    inference(resolution,[],[f1520,f1378]) ).

fof(f1378,plain,
    ! [X2,X0,X19,X34] :
      ( sP3(X19,X2,X34)
      | ~ sP2(X0,X2,X34)
      | ~ c_in(X19,X0,X2) ),
    inference(cnf_transformation,[],[f1378_D]) ).

fof(f1378_D,plain,
    ! [X34,X2,X19] :
      ( ! [X0] :
          ( ~ sP2(X0,X2,X34)
          | ~ c_in(X19,X0,X2) )
    <=> ~ sP3(X19,X2,X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f1520,plain,
    ! [X0,X1] :
      ( ~ sP3(X1,t_a,v_c)
      | c_in(X1,X0,t_a)
      | c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a)) ),
    inference(resolution,[],[f1371,f1379]) ).

fof(f1379,plain,
    ! [X2,X19,X34,X23] :
      ( c_in(c_Zorn_Omaxchain__super__lemma__1(X34,X23,X2),X34,tc_set(X2))
      | c_in(X19,X23,X2)
      | ~ sP3(X19,X2,X34) ),
    inference(general_splitting,[],[f1377,f1378_D]) ).

fof(f1377,plain,
    ! [X2,X0,X19,X34,X23] :
      ( ~ c_in(X19,X0,X2)
      | c_in(X19,X23,X2)
      | c_in(c_Zorn_Omaxchain__super__lemma__1(X34,X23,X2),X34,tc_set(X2))
      | ~ sP2(X0,X2,X34) ),
    inference(general_splitting,[],[f1362,f1376_D]) ).

fof(f1376,plain,
    ! [X2,X40,X0,X34] :
      ( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X34,tc_set(X2)),c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
      | sP2(X0,X2,X34) ),
    inference(cnf_transformation,[],[f1376_D]) ).

fof(f1376_D,plain,
    ! [X34,X2,X0] :
      ( ! [X40] :
          ( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X34,tc_set(X2)),c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2)))
          | ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2))) )
    <=> ~ sP2(X0,X2,X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1362,axiom,
    ! [X2,X40,X0,X19,X34,X23] :
      ( ~ c_in(X19,X0,X2)
      | c_in(X19,X23,X2)
      | ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
      | c_in(c_Zorn_Omaxchain__super__lemma__1(X34,X23,X2),X34,tc_set(X2))
      | ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X34,tc_set(X2)),c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_Zorn_Omaxchain__super__lemma_0) ).

fof(f1371,axiom,
    ! [X41] :
      ( ~ c_in(X41,v_c,tc_set(t_a))
      | c_lessequals(X41,v_y,tc_set(t_a)) ),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_conjecture_7) ).

fof(f1537,plain,
    ( sP2(v_x,t_a,v_c)
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a)) ),
    inference(subsumption_resolution,[],[f1533,f1364]) ).

fof(f1533,plain,
    ( ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
    | ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
    | sP2(v_x,t_a,v_c) ),
    inference(resolution,[],[f1525,f1376]) ).

fof(f1598,plain,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(subsumption_resolution,[],[f1597,f1367]) ).

fof(f1597,plain,
    ( ~ c_in(v_x,v_S,tc_set(t_a))
    | c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),v_y,t_a)
    | c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1577,f1538]) ).

fof(f1538,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,c_Zorn_Ochain__extend__1(v_c,X0,t_a),t_a)
      | ~ c_in(X0,v_S,tc_set(t_a))
      | c_in(X1,v_y,t_a)
      | c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1522,f306]) ).

fof(f1522,plain,
    ! [X0] :
      ( c_lessequals(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_y,tc_set(t_a))
      | c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,v_S,tc_set(t_a)) ),
    inference(resolution,[],[f1518,f1371]) ).

fof(f1518,plain,
    ! [X0] :
      ( c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
      | ~ c_in(X0,v_S,tc_set(t_a))
      | c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1365,f1359]) ).

fof(f1359,axiom,
    ! [X40,X2,X19,X34] :
      ( ~ c_in(X34,c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X19,X40,tc_set(X2))
      | c_in(c_Zorn_Ochain__extend__1(X34,X19,X2),X34,tc_set(X2))
      | c_in(c_union(c_insert(X19,c_emptyset,tc_set(X2)),X34,tc_set(X2)),c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_Zorn_Ochain__extend_0) ).

fof(f1577,plain,
    c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,t_a),c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a),
    inference(resolution,[],[f1571,f307]) ).

fof(f307,axiom,
    ! [X2,X15,X13] :
      ( c_lessequals(X13,X15,tc_set(X2))
      | c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966',cls_Set_OsubsetI_0) ).

fof(f1675,plain,
    ! [X0,X1] :
      ( ~ sP0(X1,t_a,v_c)
      | c_in(X0,v_y,t_a)
      | ~ c_in(X0,X1,t_a) ),
    inference(resolution,[],[f1670,f1374]) ).

fof(f1670,plain,
    ! [X0] :
      ( ~ sP1(X0,t_a,v_c)
      | c_in(X0,v_y,t_a) ),
    inference(subsumption_resolution,[],[f1667,f1370]) ).

fof(f1667,plain,
    ! [X0] :
      ( c_in(v_xa,v_y,t_a)
      | c_in(X0,v_y,t_a)
      | ~ sP1(X0,t_a,v_c) ),
    inference(resolution,[],[f1666,f1375]) ).

fof(f1666,plain,
    ! [X2] :
      ( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_y,tc_set(t_a))
      | c_in(v_xa,X2,t_a) ),
    inference(resolution,[],[f1662,f1369]) ).

fof(f1662,plain,
    ! [X0,X1] :
      ( ~ c_in(X1,v_x,t_a)
      | c_in(X1,X0,t_a)
      | c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a)) ),
    inference(resolution,[],[f1655,f1521]) ).

fof(f1655,plain,
    sP2(v_x,t_a,v_c),
    inference(subsumption_resolution,[],[f1651,f1364]) ).

fof(f1651,plain,
    ( ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
    | sP2(v_x,t_a,v_c) ),
    inference(resolution,[],[f1599,f1376]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.20  % Problem    : SET863-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.21  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.19/0.41  % Computer : n002.cluster.edu
% 0.19/0.41  % Model    : x86_64 x86_64
% 0.19/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41  % Memory   : 8042.1875MB
% 0.19/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41  % CPULimit   : 300
% 0.19/0.41  % WCLimit    : 300
% 0.19/0.41  % DateTime   : Sat Aug 26 13:37:48 EDT 2023
% 0.24/0.41  % CPUTime    : 
% 0.24/0.41  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.24/0.41  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966
% 0.24/0.41  % (29112)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.49  % (29114)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.25/0.50  % (29116)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.25/0.50  % (29120)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.25/0.50  % (29118)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.25/0.50  % (29117)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.25/0.50  % (29119)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.25/0.50  % (29121)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.25/0.52  % (29121)First to succeed.
% 0.25/0.52  % (29121)Refutation found. Thanks to Tanya!
% 0.25/0.52  % SZS status Unsatisfiable for Vampire---4
% 0.25/0.52  % SZS output start Proof for Vampire---4
% See solution above
% 0.25/0.52  % (29121)------------------------------
% 0.25/0.52  % (29121)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.52  % (29121)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.52  % (29121)Termination reason: Refutation
% 0.25/0.52  
% 0.25/0.52  % (29121)Memory used [KB]: 2558
% 0.25/0.52  % (29121)Time elapsed: 0.024 s
% 0.25/0.52  % (29121)------------------------------
% 0.25/0.52  % (29121)------------------------------
% 0.25/0.52  % (29112)Success in time 0.107 s
% 0.25/0.52  29116 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.dCfOjVONxw/Vampire---4.8_28966
% 0.25/0.52  % (29116)------------------------------
% 0.25/0.52  % (29116)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.52  % (29116)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.52  % (29116)Termination reason: Unknown
% 0.25/0.52  % (29116)Termination phase: Saturation
% 0.25/0.52  
% 0.25/0.52  % (29116)Memory used [KB]: 2174
% 0.25/0.52  % (29116)Time elapsed: 0.027 s
% 0.25/0.52  % (29116)------------------------------
% 0.25/0.52  % (29116)------------------------------
% 0.25/0.52  % Vampire---4.8 exiting
%------------------------------------------------------------------------------