TSTP Solution File: SET861-2 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n014.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 15:04:41 EDT 2023

% Result   : Unsatisfiable 0.20s 0.62s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named cls_Zorn_Omaxchain__super__lemma_1)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ c_in(c_union(c_insert(X,c_emptyset,tc_set(Y)),Z,tc_set(Y)),c_Zorn_Ochain(U,Y),tc_set(tc_set(Y)))
    | ~ c_in(Z,c_Zorn_Omaxchain(U,Y),tc_set(tc_set(Y)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(Z,V,Y),V,tc_set(Y))
    | ~ c_in(W,X,Y)
    | c_in(W,V,Y) ),
    inference(cnf_transformation,[],[cls_Zorn_Omaxchain__super__lemma_1]) ).

cnf('2',plain,
    ( c_in(c_union(c_insert(X,c_emptyset,tc_set(Y)),Z,tc_set(Y)),c_Zorn_Ochain(U,Y),tc_set(tc_set(Y)))
    | ~ c_in(Z,c_Zorn_Ochain(U,Y),tc_set(tc_set(Y)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(Z,X,Y),X,tc_set(Y))
    | ~ c_in(X,U,tc_set(Y)) ),
    inference(cnf_transformation,[],[cls_Zorn_Ochain__extend_1]) ).

cnf('3',plain,
    ( ~ c_in(X3,c_Zorn_Omaxchain(Y3,Z3),tc_set(tc_set(Z3)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,U3,Z3),U3,tc_set(Z3))
    | ~ c_in(V3,W3,Z3)
    | c_in(V3,U3,Z3)
    | ~ c_in(X3,c_Zorn_Ochain(Y3,Z3),tc_set(tc_set(Z3)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,W3,Z3),W3,tc_set(Z3))
    | ~ c_in(W3,Y3,tc_set(Z3)) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    ( ~ c_lessequals(X,Y,tc_set(Z))
    | ~ c_in(U,X,Z)
    | c_in(U,Y,Z) ),
    inference(cnf_transformation,[],[cls_Set_OsubsetD_0]) ).

cnf('5',plain,
    c_lessequals(c_Zorn_Omaxchain(X,Y),c_Zorn_Ochain(X,Y),tc_set(tc_set(tc_set(Y)))),
    inference(cnf_transformation,[],[cls_Zorn_Omaxchain__subset__chain_0]) ).

cnf('6',plain,
    ( ~ c_in(X3,c_Zorn_Omaxchain(Y3,Z3),tc_set(tc_set(Z3)))
    | c_in(X3,c_Zorn_Ochain(Y3,Z3),tc_set(tc_set(Z3))) ),
    inference(resolution,[],['4','5']) ).

cnf('7',plain,
    ( ~ c_in(X,c_Zorn_Omaxchain(Y,Z),tc_set(tc_set(Z)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X,U,Z),U,tc_set(Z))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(X,V,Z),V,tc_set(Z))
    | ~ c_in(V,Y,tc_set(Z))
    | ~ c_in(W,V,Z)
    | c_in(W,U,Z) ),
    inference(simplify,[],['3','6']) ).

cnf('8',plain,
    c_in(c_Zorn_OHausdorff__1(X,Y),c_Zorn_Omaxchain(X,Y),tc_set(tc_set(Y))),
    inference(cnf_transformation,[],[cls_Zorn_OHausdorff_0]) ).

cnf('9',plain,
    ( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X,Y),Z,Y),Z,tc_set(Y))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X,Y),U,Y),U,tc_set(Y))
    | ~ c_in(U,X,tc_set(Y))
    | ~ c_in(V,U,Y)
    | c_in(V,Z,Y) ),
    inference(resolution,[],['7','8']) ).

cnf('10',plain,
    ( ~ c_in(X,c_Zorn_Omaxchain(Y,Z),tc_set(tc_set(Z)))
    | c_in(X,c_Zorn_Ochain(Y,Z),tc_set(tc_set(Z))) ),
    inference(resolution,[],['4','5']) ).

cnf('11',plain,
    c_in(c_Zorn_OHausdorff__1(X,Y),c_Zorn_Ochain(X,Y),tc_set(tc_set(Y))),
    inference(resolution,[],['10','8']) ).

cnf('12',plain,
    ( ~ c_in(X,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(Y,v_x(X),tc_set(t_a))
    | ~ c_in(Y,X,tc_set(t_a)) ),
    inference(cnf_transformation,[],[cls_conjecture_4]) ).

cnf('13',plain,
    ( c_lessequals(X,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
    | ~ c_in(X,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    ( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X,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(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X,t_a),Y,t_a),Y,tc_set(t_a))
    | c_in(Z,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | ~ c_in(Y,X,tc_set(t_a))
    | ~ c_in(Z,Y,t_a) ),
    inference(resolution,[],['9','13']) ).

cnf('15',plain,
    ( ~ c_in(c_union(c_insert(X,c_emptyset,tc_set(Y)),Z,tc_set(Y)),c_Zorn_Ochain(U,Y),tc_set(tc_set(Y)))
    | ~ c_in(Z,c_Zorn_Omaxchain(U,Y),tc_set(tc_set(Y)))
    | c_in(c_Zorn_Omaxchain__super__lemma__1(Z,V,Y),Z,tc_set(Y))
    | ~ c_in(W,X,Y)
    | c_in(W,V,Y) ),
    inference(cnf_transformation,[],[cls_Zorn_Omaxchain__super__lemma_0]) ).

cnf('16',plain,
    ( ~ c_in(X3,c_Zorn_Omaxchain(Y3,Z3),tc_set(tc_set(Z3)))
    | c_in(c_Zorn_Omaxchain__super__lemma__1(X3,U3,Z3),X3,tc_set(Z3))
    | ~ c_in(V3,W3,Z3)
    | c_in(V3,U3,Z3)
    | ~ c_in(X3,c_Zorn_Ochain(Y3,Z3),tc_set(tc_set(Z3)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,W3,Z3),W3,tc_set(Z3))
    | ~ c_in(W3,Y3,tc_set(Z3)) ),
    inference(resolution,[],['15','2']) ).

cnf('17',plain,
    ( ~ c_in(X,c_Zorn_Omaxchain(Y,Z),tc_set(tc_set(Z)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(X,U,Z),U,tc_set(Z))
    | c_in(c_Zorn_Omaxchain__super__lemma__1(X,V,Z),X,tc_set(Z))
    | ~ c_in(U,Y,tc_set(Z))
    | ~ c_in(W,U,Z)
    | c_in(W,V,Z) ),
    inference(simplify,[],['16','6']) ).

cnf('18',plain,
    ( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X,Y),Z,Y),c_Zorn_OHausdorff__1(X,Y),tc_set(Y))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X,Y),U,Y),U,tc_set(Y))
    | ~ c_in(U,X,tc_set(Y))
    | ~ c_in(V,U,Y)
    | c_in(V,Z,Y) ),
    inference(resolution,[],['17','8']) ).

cnf('19',plain,
    ( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X,t_a),X,tc_set(t_a))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),Y,t_a),Y,tc_set(t_a))
    | c_in(Z,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | c_in(U,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | ~ c_in(X,v_S,tc_set(t_a))
    | ~ c_in(Y,v_S,tc_set(t_a))
    | ~ c_in(Z,X,t_a)
    | ~ c_in(U,Y,t_a) ),
    inference(resolution,[],['14','18']) ).

cnf('20',plain,
    ( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X,t_a),X,tc_set(t_a))
    | c_in(Y,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | ~ c_in(X,v_S,tc_set(t_a))
    | ~ c_in(Y,X,t_a) ),
    inference(factorization,[],['19']) ).

cnf('21',plain,
    ( ~ c_in(X,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | c_in(v_x(X),v_S,tc_set(t_a)) ),
    inference(cnf_transformation,[],[cls_conjecture_0]) ).

cnf('22',plain,
    c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)),
    inference(resolution,[],['11','21']) ).

cnf('23',plain,
    ( c_lessequals(X,v_xa(X),tc_set(t_a))
    | ~ c_in(X,v_S,tc_set(t_a)) ),
    inference(cnf_transformation,[],[cls_conjecture_2]) ).

cnf('24',plain,
    ( ~ c_in(X,v_S,tc_set(t_a))
    | c_in(Y,v_xa(X),t_a)
    | ~ c_in(Y,X,t_a) ),
    inference(resolution,[],['4','23']) ).

cnf('25',plain,
    ( c_in(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | ~ c_in(X,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
    inference(resolution,[],['22','24']) ).

cnf('26',plain,
    ( ~ c_in(c_Main_OsubsetI__1(X,Y,Z),Y,Z)
    | c_lessequals(X,Y,tc_set(Z)) ),
    inference(cnf_transformation,[],[cls_Set_OsubsetI_1]) ).

cnf('27',plain,
    ( ~ c_in(c_Main_OsubsetI__1(X,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(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
    inference(resolution,[],['25','26']) ).

cnf('28',plain,
    ( c_in(X,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | ~ c_in(Y,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(X,Y,t_a) ),
    inference(resolution,[],['13','4']) ).

cnf('29',plain,
    ( ~ c_in(c_Main_OsubsetI__1(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),Y,t_a)
    | c_lessequals(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
    | ~ c_in(Y,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
    inference(resolution,[],['27','28']) ).

cnf('30',plain,
    ( c_in(c_Main_OsubsetI__1(X,Y,Z),X,Z)
    | c_lessequals(X,Y,tc_set(Z)) ),
    inference(cnf_transformation,[],[cls_Set_OsubsetI_0]) ).

cnf('31',plain,
    ( c_lessequals(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
    | ~ c_in(X,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
    inference(resolution,[],['29','30']) ).

cnf('32',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(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
    | ~ c_in(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(X,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
    inference(resolution,[],['20','31']) ).

cnf('33',plain,
    ( c_in(c_union(c_insert(X,c_emptyset,tc_set(Y)),Z,tc_set(Y)),c_Zorn_Ochain(U,Y),tc_set(tc_set(Y)))
    | ~ c_in(Z,c_Zorn_Ochain(U,Y),tc_set(tc_set(Y)))
    | c_in(c_Zorn_Ochain__extend__1(Z,X,Y),Z,tc_set(Y))
    | ~ c_in(X,U,tc_set(Y)) ),
    inference(cnf_transformation,[],[cls_Zorn_Ochain__extend_0]) ).

cnf('34',plain,
    ( ~ c_in(X3,c_Zorn_Omaxchain(Y3,Z3),tc_set(tc_set(Z3)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,U3,Z3),U3,tc_set(Z3))
    | ~ c_in(V3,W3,Z3)
    | c_in(V3,U3,Z3)
    | ~ c_in(X3,c_Zorn_Ochain(Y3,Z3),tc_set(tc_set(Z3)))
    | c_in(c_Zorn_Ochain__extend__1(X3,W3,Z3),X3,tc_set(Z3))
    | ~ c_in(W3,Y3,tc_set(Z3)) ),
    inference(resolution,[],['1','33']) ).

cnf('35',plain,
    ( ~ c_in(X,c_Zorn_Omaxchain(Y,Z),tc_set(tc_set(Z)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X,U,Z),U,tc_set(Z))
    | c_in(c_Zorn_Ochain__extend__1(X,V,Z),X,tc_set(Z))
    | ~ c_in(V,Y,tc_set(Z))
    | ~ c_in(W,V,Z)
    | c_in(W,U,Z) ),
    inference(simplify,[],['34','6']) ).

cnf('36',plain,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X,Y),Z,Y),c_Zorn_OHausdorff__1(X,Y),tc_set(Y))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X,Y),U,Y),U,tc_set(Y))
    | ~ c_in(Z,X,tc_set(Y))
    | ~ c_in(V,Z,Y)
    | c_in(V,U,Y) ),
    inference(resolution,[],['35','8']) ).

cnf('37',plain,
    ( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X,t_a),X,tc_set(t_a))
    | ~ c_in(Y,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | ~ c_in(Z,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(Z,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | c_in(Y,X,t_a) ),
    inference(resolution,[],['32','36']) ).

cnf('38',plain,
    ( c_in(v_xa(X),v_S,tc_set(t_a))
    | ~ c_in(X,v_S,tc_set(t_a)) ),
    inference(cnf_transformation,[],[cls_conjecture_1]) ).

cnf('39',plain,
    c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)),
    inference(resolution,[],['11','21']) ).

cnf('40',plain,
    ( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X,t_a),X,tc_set(t_a))
    | ~ c_in(Y,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | ~ c_in(Z,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(Y,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | c_in(Z,X,t_a) ),
    inference(resolution,[then_simplify],['37','38','39']) ).

cnf('41',plain,
    ( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X,t_a),X,tc_set(t_a))
    | ~ c_in(Y,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(Y,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | c_in(Y,X,t_a) ),
    inference(factorization,[],['40']) ).

cnf('42',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_in(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(X,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
    inference(resolution,[],['41','13']) ).

cnf('43',plain,
    ( ~ c_in(X3,c_Zorn_Omaxchain(Y3,Z3),tc_set(tc_set(Z3)))
    | c_in(c_Zorn_Omaxchain__super__lemma__1(X3,U3,Z3),X3,tc_set(Z3))
    | ~ c_in(V3,W3,Z3)
    | c_in(V3,U3,Z3)
    | ~ c_in(X3,c_Zorn_Ochain(Y3,Z3),tc_set(tc_set(Z3)))
    | c_in(c_Zorn_Ochain__extend__1(X3,W3,Z3),X3,tc_set(Z3))
    | ~ c_in(W3,Y3,tc_set(Z3)) ),
    inference(resolution,[],['15','33']) ).

cnf('44',plain,
    ( ~ c_in(X,c_Zorn_Omaxchain(Y,Z),tc_set(tc_set(Z)))
    | c_in(c_Zorn_Omaxchain__super__lemma__1(X,U,Z),X,tc_set(Z))
    | c_in(c_Zorn_Ochain__extend__1(X,V,Z),X,tc_set(Z))
    | ~ c_in(V,Y,tc_set(Z))
    | ~ c_in(W,V,Z)
    | c_in(W,U,Z) ),
    inference(simplify,[],['43','6']) ).

cnf('45',plain,
    ( c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X,Y),Z,Y),c_Zorn_OHausdorff__1(X,Y),tc_set(Y))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X,Y),U,Y),c_Zorn_OHausdorff__1(X,Y),tc_set(Y))
    | ~ c_in(U,X,tc_set(Y))
    | ~ c_in(V,U,Y)
    | c_in(V,Z,Y) ),
    inference(resolution,[],['44','8']) ).

cnf('46',plain,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(Y,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(Z,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | c_in(Y,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | ~ c_in(X,v_S,tc_set(t_a))
    | ~ c_in(Z,X,t_a) ),
    inference(resolution,[],['42','45']) ).

cnf('47',plain,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(Y,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(Y,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | ~ c_in(X,v_S,tc_set(t_a))
    | ~ c_in(Y,X,t_a) ),
    inference(factorization,[],['46']) ).

cnf('48',plain,
    ( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
    | ~ c_in(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | ~ c_in(Y,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(X,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | c_in(Y,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
    inference(resolution,[],['47','32']) ).

cnf('49',plain,
    ( ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a))
    | ~ c_in(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(X,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
    inference(factorization,[],['48']) ).

cnf('50',plain,
    ( ~ c_in(X,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_in(X,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
    inference(resolution,[then_simplify],['49','38','39']) ).

cnf('51',plain,
    ( c_in(c_Main_OsubsetI__1(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),X,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))),X,tc_set(t_a)) ),
    inference(resolution,[],['50','30']) ).

cnf('52',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)),
    inference(resolution,[],['27','30']) ).

cnf('53',plain,
    ( ~ c_lessequals(X,Y,tc_set(Z))
    | ~ c_lessequals(Y,X,tc_set(Z))
    | X = Y ),
    inference(cnf_transformation,[],[cls_Set_Osubset__antisym_0]) ).

cnf('54',plain,
    ( ~ c_in(X,v_S,tc_set(t_a))
    | X != v_xa(X) ),
    inference(cnf_transformation,[],[cls_conjecture_3]) ).

cnf('55',plain,
    v_x(c_Zorn_OHausdorff__1(v_S,t_a)) != v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),
    inference(resolution,[],['22','54']) ).

cnf('56',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)),
    inference(resolution,[then_simplify],['52','53','55']) ).

cnf('57',plain,
    $false,
    inference(resolution,[then_simplify],['51','26','56']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : gkc %s
% 0.17/0.35  % Computer : n014.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Sat Aug 26 09:15:47 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.20/0.40  
% 0.20/0.40  input clause set summed statistics:
% 0.20/0.40  ----------------------------------
% 0.20/0.40  in_clause_count:                    15
% 0.20/0.40  in_rule_clause_count:               15
% 0.20/0.40  in_fact_clause_count:                0
% 0.20/0.40  in_answer_clause_count:              0
% 0.20/0.40  in_ground_clause_count:              0
% 0.20/0.40  in_unit_clause_count:                2
% 0.20/0.40  in_horn_clause_count:               12
% 0.20/0.40  in_pos_clause_count:                 3
% 0.20/0.40  in_neg_clause_count:                 1
% 0.20/0.40  in_poseq_clause_count:               1
% 0.20/0.40  in_negeq_clause_count:               1
% 0.20/0.40  in_unitposeq_clause_count:           0
% 0.20/0.40  in_chain_clause_count:               0
% 0.20/0.40  in_min_length:             1
% 0.20/0.40  in_max_length:             5
% 0.20/0.40  in_min_depth:              2
% 0.20/0.40  in_max_depth:              4
% 0.20/0.40  in_min_size:               9
% 0.20/0.40  in_max_size:              40
% 0.20/0.40  in_min_vars:               1
% 0.20/0.40  in_max_vars:               6
% 0.20/0.40  in_extaxiom_count:                 0
% 0.20/0.40  in_axiom_count:                   10
% 0.20/0.40  in_assumption_count:               0
% 0.20/0.40  in_goal_count:                     5
% 0.20/0.40  in_neg_goal_count:                 1
% 0.20/0.40  in_pos_goal_count:                 0
% 0.20/0.40  in_posunit_goal_count:             0
% 0.20/0.40  
% 0.20/0.40  auto guide:
% 0.20/0.40  -----------
% 0.20/0.40  {
% 0.20/0.40  "print":1,
% 0.20/0.40  "print_level": 15,
% 0.20/0.40  "max_size": 0,
% 0.20/0.40  "max_depth": 0,
% 0.20/0.40  "max_length": 0,
% 0.20/0.40  "max_dseconds": 0,
% 0.20/0.40  "runs":[
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.20/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":10},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":10},
% 0.20/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
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% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.20/0.40  
% 0.20/0.40  ]}
% 0.20/0.40  
% 0.20/0.41  
% 0.20/0.41  **** run 1 fork 0 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.41  
% 0.20/0.41  **** run 2 fork 1 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.41  
% 0.20/0.41  **** run 3 fork 2 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.41  
% 0.20/0.41  **** run 4 fork 3 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.41  
% 0.20/0.41  **** run 5 fork 4 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 6 fork 5 starts with strategy
% 0.20/0.41  
% 0.20/0.41  **** run 7 fork 6 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 8 fork 7 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.44  
% 0.20/0.44  fork 3: search finished without proof.
% 0.20/0.47  
% 0.20/0.47  **** run 12 fork 3 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  fork 4: search finished without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 0: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 2: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 5: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 6: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 7: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 1: search terminated without proof.
% 0.20/0.55  
% 0.20/0.55  **** run 13 fork 4 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  **** run 11 fork 2 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.56  
% 0.20/0.56  **** run 16 fork 7 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.56  
% 0.20/0.56  **** run 14 fork 5 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.20/0.56  
% 0.20/0.56  **** run 15 fork 6 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.56  
% 0.20/0.56  **** run 9 fork 0 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.57  
% 0.20/0.57  **** run 10 fork 1 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.62  
% 0.20/0.62  
% 0.20/0.62  result: proof found
% 0.20/0.62  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.62  by run 14 fork 5 strategy {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.20/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.62  
% 0.20/0.62  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.62  
% 0.20/0.62  run 14 fork 5 statistics:
% 0.20/0.62  ----------------------------------
% 0.20/0.62  this run seconds: 0.040809
% 0.20/0.62  total seconds: 0.212070
% 0.20/0.62  stat_given_used: 261
% 0.20/0.62  stat_given_used_at_endgame: 0
% 0.20/0.62  stat_given_candidates:   665
% 0.20/0.62  stat_given_candidates_at_endgame: 0
% 0.20/0.62  stat_given_candidates_h: 0
% 0.20/0.62  stat_binres_derived_cl:   1114
% 0.20/0.62  stat_binres_derived_cl_h: 0
% 0.20/0.62  stat_factor_derived_cl: 24
% 0.20/0.62  stat_para_derived_cl: 946
% 0.20/0.62  stat_tautologies_discarded: 38
% 0.20/0.62  stat_forward_subsumed: 336
% 0.20/0.62  stat_derived_cut: 145
% 0.20/0.62  stat_derived_rewritten: 0
% 0.20/0.62  stat_weight_discarded_building: 0
% 0.20/0.62  stat_weight_discarded_cl: 0
% 0.20/0.62  stat_internlimit_discarded_cl: 0
% 0.20/0.62  stat_simplified:  9 simplified 0 derived 0 given
% 0.20/0.62  stat_kept_cl: 1615
% 0.20/0.62  stat_built_cl: 2146
% 0.20/0.62  stat_hyperres_partial_cl: 0
% 0.20/0.62  stat_made_rewriters: 0
% 0.20/0.62  stat_backward_subsumed: 0
% 0.20/0.62  stat_propagated_subsumed: 0
% 0.20/0.62  stat_clsubs_attempted:                      5154
% 0.20/0.62  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.62  stat_clsubs_rule_groundunit_found:             7
% 0.20/0.62  stat_clsubs_top_meta_attempted:              65363
% 0.20/0.62  stat_clsubs_top_meta_failed:                 60209
% 0.20/0.62  stat_clsubs_top_meta_nonpref_attempted:               65363
% 0.20/0.62  stat_clsubs_top_meta_nonpref_succeeded:               32068
% 0.20/0.62  stat_clsubs_top_meta_pref_attempted:                  32068
% 0.20/0.62  stat_clsubs_top_meta_pref1_succeeded:                  9936
% 0.20/0.62  stat_clsubs_top_meta_pref2_succeeded:                  5728
% 0.20/0.62  stat_clsubs_top_meta_pref3_succeeded:                  5154
% 0.20/0.62  stat_clsubs_top_meta_pref_succeeded:                   5154
% 0.20/0.62  stat_clsubs_meta_attempted:                13019
% 0.20/0.62  stat_clsubs_meta_failed:                    4850
% 0.20/0.62  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.62  stat_clsubs_unit_attempted:                  391
% 0.20/0.62  stat_clsubs_full_attempted:                 4763
% 0.20/0.62  stat_forwardsubs_attempted:                 1952
% 0.20/0.62  stat_lit_hash_added:                    147
% 0.20/0.62  stat_lit_hash_computed:               19613
% 0.20/0.62  stat_lit_hash_match_found:              467
% 0.20/0.62  stat_lit_hash_match_miss:             29878
% 0.20/0.62  stat_lit_hash_cut_ok:                   120
% 0.20/0.62  stat_lit_strong_cut_ok:                  31
% 0.20/0.62  stat_lit_hash_subsume_ok:               336
% 0.20/0.62  clqueue els 10000000 used 1
% 0.20/0.62  clactive els 10000000 used 262
% 0.20/0.62  clactivesubsume els 10000000 used 1519
% 0.20/0.62  queue_termbuf els 200000000 used 400457
% 0.20/0.62  hyper_termbuf els 100000000 used 1
% 0.20/0.62  active_termbuf els 100000000 used 34289
% 0.20/0.62  varstack els 5000 last used 1
% 0.20/0.62  given_termbuf els 10000000 last used 1
% 0.20/0.62  simplified_termbuf els 10000000 last used 1
% 0.20/0.62  derived_termbuf els 10000000 last used 109
% 0.20/0.62  wr_mallocs: 2769
% 0.20/0.62  wr_callocs: 21
% 0.20/0.62  wr_reallocs: 80
% 0.20/0.62  wr_frees: 2
% 0.20/0.62  wr_malloc_bytes: 4162682596
% 0.20/0.62  wr_calloc_bytes: 112065536
% 0.20/0.62  wr_realloc_bytes: 39464
% 0.20/0.62  wr_realloc_freebytes: 0
% 0.20/0.62  ----------------------------------
%------------------------------------------------------------------------------