TSTP Solution File: SET861-2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 May  4 09:21:02 EDT 2024

% Result   : Unsatisfiable 27.08s 3.87s
% Output   : CNFRefutation 27.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   68
%            Number of leaves      :   15
% Syntax   : Number of clauses     :  121 (  11 unt;  52 nHn;  90 RR)
%            Number of literals    :  338 (   7 equ; 159 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   3 con; 0-3 aty)
%            Number of variables   :  205 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Set_OsubsetD_0) ).

cnf(cls_Zorn_Omaxchain__subset__chain_0,axiom,
    c_lessequals(c_Zorn_Omaxchain(X1,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(tc_set(X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Zorn_Omaxchain__subset__chain_0) ).

cnf(cls_Zorn_Ochain__extend_0,axiom,
    ( c_in(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,tc_set(X3))
    | c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3))) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Zorn_Ochain__extend_0) ).

cnf(cls_Zorn_OHausdorff_0,axiom,
    c_in(c_Zorn_OHausdorff__1(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Zorn_OHausdorff_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( c_in(v_xa(X1),v_S,tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( c_in(v_x(X1),v_S,tc_set(t_a))
    | ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_conjecture_0) ).

cnf(cls_Zorn_Omaxchain__super__lemma_0,axiom,
    ( c_in(X1,X6,X3)
    | c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3))) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Zorn_Omaxchain__super__lemma_0) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Set_OsubsetI_1) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Set_OsubsetI_0) ).

cnf(cls_Set_Osubset__antisym_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Set_Osubset__antisym_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( c_lessequals(X1,v_xa(X1),tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( X1 != v_xa(X1)
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_lessequals(X1,v_x(X2),tc_set(t_a))
    | ~ c_in(X1,X2,tc_set(t_a))
    | ~ c_in(X2,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_conjecture_4) ).

cnf(cls_Zorn_Ochain__extend_1,axiom,
    ( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Zorn_Ochain__extend_1) ).

cnf(cls_Zorn_Omaxchain__super__lemma_1,axiom,
    ( c_in(X1,X6,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p',cls_Zorn_Omaxchain__super__lemma_1) ).

cnf(c_0_15,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OsubsetD_0]) ).

cnf(c_0_16,plain,
    ( c_in(X1,X4,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_lessequals(X2,X4,tc_set(X3)) ),
    c_0_15 ).

cnf(c_0_17,axiom,
    c_lessequals(c_Zorn_Omaxchain(X1,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(tc_set(X2)))),
    cls_Zorn_Omaxchain__subset__chain_0 ).

cnf(c_0_18,plain,
    ( c_in(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,tc_set(X3))
    | c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3))) ),
    inference(fof_simplification,[status(thm)],[cls_Zorn_Ochain__extend_0]) ).

cnf(c_0_19,plain,
    ( c_in(X1,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,c_Zorn_Omaxchain(X2,X3),tc_set(tc_set(X3))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,axiom,
    c_in(c_Zorn_OHausdorff__1(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2))),
    cls_Zorn_OHausdorff_0 ).

cnf(c_0_21,plain,
    ( c_in(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,tc_set(X3))
    | c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3))) ),
    c_0_18 ).

cnf(c_0_22,plain,
    c_in(c_Zorn_OHausdorff__1(X1,X2),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    ( c_in(v_xa(X1),v_S,tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_24,plain,
    ( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),c_Zorn_OHausdorff__1(X3,X2),tc_set(X2)),c_Zorn_Ochain(X3,X2),tc_set(tc_set(X2)))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X3,X2),X1,X2),c_Zorn_OHausdorff__1(X3,X2),tc_set(X2))
    | ~ c_in(X1,X3,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( c_in(v_xa(X1),v_S,tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    c_0_23 ).

cnf(c_0_26,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(X1),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)))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(X1),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,negated_conjecture,
    ( c_in(v_x(X1),v_S,tc_set(t_a))
    | ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_28,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(v_xa(X1)),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)))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(X1)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( c_in(v_x(X1),v_S,tc_set(t_a))
    | ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    c_0_27 ).

cnf(c_0_30,plain,
    ( c_in(X1,X6,X3)
    | c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3))) ),
    inference(fof_simplification,[status(thm)],[cls_Zorn_Omaxchain__super__lemma_0]) ).

cnf(c_0_31,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(v_xa(v_x(X1))),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)))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_x(X1))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( c_in(X1,X6,X3)
    | c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3))) ),
    c_0_30 ).

cnf(c_0_33,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(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)))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_22]) ).

cnf(c_0_34,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).

cnf(c_0_35,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | c_in(X2,X1,t_a)
    | ~ c_in(X2,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_20])]) ).

cnf(c_0_36,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OsubsetI_0 ).

cnf(c_0_37,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    inference(fof_simplification,[status(thm)],[cls_Set_Osubset__antisym_0]) ).

cnf(c_0_38,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    c_0_34 ).

cnf(c_0_39,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | c_in(c_Main_OsubsetI__1(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),X2,t_a),X1,t_a)
    | c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),X2,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    c_0_37 ).

cnf(c_0_41,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),X1,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    ( c_lessequals(X1,v_xa(X1),tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_43,negated_conjecture,
    ( X1 != v_xa(X1)
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).

cnf(c_0_44,negated_conjecture,
    ( c_lessequals(X1,v_x(X2),tc_set(t_a))
    | ~ c_in(X1,X2,tc_set(t_a))
    | ~ c_in(X2,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).

cnf(c_0_45,negated_conjecture,
    ( X1 = v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_lessequals(X1,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    ( c_lessequals(X1,v_xa(X1),tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    c_0_42 ).

cnf(c_0_47,negated_conjecture,
    ( X1 != v_xa(X1)
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    c_0_43 ).

cnf(c_0_48,negated_conjecture,
    ( c_lessequals(X1,v_x(X2),tc_set(t_a))
    | ~ c_in(X1,X2,tc_set(t_a))
    | ~ c_in(X2,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    c_0_44 ).

cnf(c_0_49,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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_Omaxchain__super__lemma__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)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_50,negated_conjecture,
    ( c_in(X1,v_x(X2),t_a)
    | ~ c_in(X2,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(X3,X2,tc_set(t_a))
    | ~ c_in(X1,X3,t_a) ),
    inference(spm,[status(thm)],[c_0_16,c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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_Omaxchain__super__lemma__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_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_25]) ).

cnf(c_0_52,negated_conjecture,
    ( c_in(X1,v_xa(X2),t_a)
    | ~ c_in(X2,v_S,tc_set(t_a))
    | ~ c_in(X1,X2,t_a) ),
    inference(spm,[status(thm)],[c_0_16,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    ( c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | ~ c_in(X2,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(X1,X2,t_a) ),
    inference(spm,[status(thm)],[c_0_50,c_0_22]) ).

cnf(c_0_54,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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_Omaxchain__super__lemma__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)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_29]),c_0_22])]) ).

cnf(c_0_55,negated_conjecture,
    ( c_lessequals(X1,v_xa(X2),tc_set(t_a))
    | ~ c_in(c_Main_OsubsetI__1(X1,v_xa(X2),t_a),X2,t_a)
    | ~ c_in(X2,v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    ( c_in(c_Zorn_Omaxchain__super__lemma__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(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),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a),t_a) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    ( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3)) ),
    inference(fof_simplification,[status(thm)],[cls_Zorn_Ochain__extend_1]) ).

cnf(c_0_58,negated_conjecture,
    ( c_lessequals(X1,v_xa(v_xa(X2)),tc_set(t_a))
    | ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(X2)),t_a),X2,t_a)
    | ~ c_in(X2,v_S,tc_set(t_a)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_25]) ).

cnf(c_0_59,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(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_in(c_Zorn_Omaxchain__super__lemma__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_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a),X1,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_36]) ).

cnf(c_0_60,plain,
    ( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_in(X1,X2,tc_set(X3))
    | ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3)) ),
    c_0_57 ).

cnf(c_0_61,negated_conjecture,
    ( c_in(c_Zorn_Omaxchain__super__lemma__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_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,plain,
    ( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),c_Zorn_OHausdorff__1(X3,X2),tc_set(X2)),c_Zorn_Ochain(X3,X2),tc_set(tc_set(X2)))
    | ~ c_in(X1,X3,tc_set(X2))
    | ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X3,X2),X1,X2),X1,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_22]) ).

cnf(c_0_63,negated_conjecture,
    ( c_in(c_Zorn_Omaxchain__super__lemma__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_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_29]),c_0_22])]) ).

cnf(c_0_64,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(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)))
    | c_in(c_Zorn_Omaxchain__super__lemma__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_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_65,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(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)))
    | c_in(c_Zorn_Omaxchain__super__lemma__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)) ),
    inference(spm,[status(thm)],[c_0_64,c_0_25]) ).

cnf(c_0_66,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(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)))
    | c_in(c_Zorn_Omaxchain__super__lemma__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_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_25]) ).

cnf(c_0_67,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(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)))
    | c_in(c_Zorn_Omaxchain__super__lemma__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)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_29]),c_0_22])]) ).

cnf(c_0_68,negated_conjecture,
    ( c_in(c_Zorn_Omaxchain__super__lemma__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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | c_in(X2,X1,t_a)
    | ~ c_in(X2,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_67]),c_0_20])]) ).

cnf(c_0_69,negated_conjecture,
    ( c_in(c_Zorn_Omaxchain__super__lemma__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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | c_in(c_Main_OsubsetI__1(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),X2,t_a),X1,t_a)
    | c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),X2,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_36]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ c_in(X1,v_S,tc_set(t_a))
    | ~ c_lessequals(v_xa(X1),X1,tc_set(t_a)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_46]),c_0_47]) ).

cnf(c_0_71,negated_conjecture,
    ( c_in(c_Zorn_Omaxchain__super__lemma__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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),X1,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_69]) ).

cnf(c_0_72,negated_conjecture,
    ( c_in(c_Zorn_Omaxchain__super__lemma__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)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_73,negated_conjecture,
    ( c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
    | ~ c_in(X1,c_Zorn_Omaxchain__super__lemma__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(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_72]) ).

cnf(c_0_74,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__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_Omaxchain__super__lemma__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))
    | ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_36]) ).

cnf(c_0_75,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__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_Omaxchain__super__lemma__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))
    | ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_25]) ).

cnf(c_0_76,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__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_Omaxchain__super__lemma__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)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_29]),c_0_22])]) ).

cnf(c_0_77,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(v_xa(v_xa(X1))),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)))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(X1))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(X1,v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

cnf(c_0_78,negated_conjecture,
    ( c_lessequals(c_Zorn_Omaxchain__super__lemma__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_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_76]) ).

cnf(c_0_79,plain,
    ( c_in(X1,X6,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,tc_set(X3)) ),
    inference(fof_simplification,[status(thm)],[cls_Zorn_Omaxchain__super__lemma_1]) ).

cnf(c_0_80,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(v_xa(v_xa(v_x(X1)))),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)))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(v_x(X1)))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
    | ~ c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(spm,[status(thm)],[c_0_77,c_0_29]) ).

cnf(c_0_81,negated_conjecture,
    ( c_in(X1,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | ~ c_in(X1,c_Zorn_Omaxchain__super__lemma__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(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_78]) ).

cnf(c_0_82,plain,
    ( c_in(X1,X6,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3)))
    | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,tc_set(X3)) ),
    c_0_79 ).

cnf(c_0_83,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(v_xa(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)))
    | c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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)) ),
    inference(spm,[status(thm)],[c_0_80,c_0_22]) ).

cnf(c_0_84,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__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_xa(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),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,tc_set(t_a))
    | ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_36]) ).

cnf(c_0_85,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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(X1,X2,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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_20])]) ).

cnf(c_0_86,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Omaxchain__super__lemma__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_xa(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),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,tc_set(t_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_29]),c_0_22])]) ).

cnf(c_0_87,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_Main_OsubsetI__1(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),X1,t_a),X2,t_a)
    | c_lessequals(v_xa(v_xa(v_xa(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),X2,t_a),X2,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_36]) ).

cnf(c_0_88,negated_conjecture,
    c_lessequals(c_Zorn_Omaxchain__super__lemma__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)),
    inference(spm,[status(thm)],[c_0_38,c_0_86]) ).

cnf(c_0_89,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_Main_OsubsetI__1(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_lessequals(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),X1,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_90,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_lessequals(v_xa(v_xa(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_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_89]) ).

cnf(c_0_91,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_lessequals(v_xa(v_xa(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_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_90,c_0_25]) ).

cnf(c_0_92,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_lessequals(v_xa(v_xa(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)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_29]),c_0_22])]) ).

cnf(c_0_93,negated_conjecture,
    ( c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_92]) ).

cnf(c_0_94,negated_conjecture,
    ( 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),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),t_a)
    | ~ c_in(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_93]) ).

cnf(c_0_95,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),X1,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)) ),
    inference(spm,[status(thm)],[c_0_94,c_0_36]) ).

cnf(c_0_96,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),X1,tc_set(t_a))
    | ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_95,c_0_25]) ).

cnf(c_0_97,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),X1,tc_set(t_a))
    | ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_25]) ).

cnf(c_0_98,negated_conjecture,
    ( c_lessequals(X1,v_xa(v_xa(v_xa(X2))),tc_set(t_a))
    | ~ c_in(c_Main_OsubsetI__1(X1,v_xa(v_xa(v_xa(X2))),t_a),X2,t_a)
    | ~ c_in(X2,v_S,tc_set(t_a)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_52]),c_0_25]) ).

cnf(c_0_99,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(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_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),X1,tc_set(t_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_29]),c_0_22])]) ).

cnf(c_0_100,negated_conjecture,
    ( c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(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_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_101,negated_conjecture,
    ( c_in(X1,v_xa(v_xa(v_xa(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),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),t_a)
    | ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_100]) ).

cnf(c_0_102,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),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_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),X1,tc_set(t_a))
    | ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_36]) ).

cnf(c_0_103,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),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_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a),X1,tc_set(t_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_29]),c_0_22])]) ).

cnf(c_0_104,negated_conjecture,
    c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_xa(v_xa(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)),
    inference(spm,[status(thm)],[c_0_38,c_0_103]) ).

cnf(c_0_105,negated_conjecture,
    ( c_in(c_union(c_insert(v_xa(v_xa(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)))
    | ~ c_in(v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),v_S,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_104]) ).

cnf(c_0_106,negated_conjecture,
    ( c_in(X1,X2,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_in(X1,v_xa(v_xa(v_xa(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)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_105]),c_0_20])]) ).

cnf(c_0_107,negated_conjecture,
    ( c_in(X1,X2,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_in(X1,v_xa(v_xa(v_xa(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)) ),
    inference(spm,[status(thm)],[c_0_106,c_0_25]) ).

cnf(c_0_108,negated_conjecture,
    ( c_in(X1,X2,t_a)
    | ~ c_in(X1,v_xa(v_xa(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(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_107,c_0_25]) ).

cnf(c_0_109,negated_conjecture,
    ( c_in(X1,X2,t_a)
    | ~ c_in(X1,v_xa(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))))),t_a)
    | ~ c_in(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),X2,t_a),X2,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_108,c_0_25]) ).

cnf(c_0_110,negated_conjecture,
    ( c_in(X1,X2,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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_29]),c_0_22])]) ).

cnf(c_0_111,negated_conjecture,
    ( c_in(X1,X2,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_in(X1,v_xa(v_xa(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)) ),
    inference(spm,[status(thm)],[c_0_110,c_0_52]) ).

cnf(c_0_112,negated_conjecture,
    ( c_in(X1,X2,t_a)
    | ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_111,c_0_25]) ).

cnf(c_0_113,negated_conjecture,
    ( c_in(X1,X2,t_a)
    | ~ c_in(X1,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a)
    | ~ c_in(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),X2,t_a),X2,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_112,c_0_25]) ).

cnf(c_0_114,negated_conjecture,
    ( c_in(X1,X2,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_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),X2,t_a),X2,tc_set(t_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_29]),c_0_22])]) ).

cnf(c_0_115,negated_conjecture,
    ( c_in(X1,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | ~ c_in(X1,v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),t_a) ),
    inference(spm,[status(thm)],[c_0_114,c_0_88]) ).

cnf(c_0_116,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),X1,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a)
    | c_lessequals(v_xa(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a)))),X1,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_115,c_0_36]) ).

cnf(c_0_117,negated_conjecture,
    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)),
    inference(spm,[status(thm)],[c_0_38,c_0_116]) ).

cnf(c_0_118,negated_conjecture,
    ~ c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)),
    inference(spm,[status(thm)],[c_0_70,c_0_117]) ).

cnf(c_0_119,negated_conjecture,
    ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)),
    inference(spm,[status(thm)],[c_0_118,c_0_25]) ).

cnf(c_0_120,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_29]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n013.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 10:02:49 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Om8ISVkEeN/E---3.1_13049.p
% 27.08/3.87  # Version: 3.1.0
% 27.08/3.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 27.08/3.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.08/3.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 27.08/3.87  # Starting new_bool_3 with 300s (1) cores
% 27.08/3.87  # Starting new_bool_1 with 300s (1) cores
% 27.08/3.87  # Starting sh5l with 300s (1) cores
% 27.08/3.87  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13127 completed with status 0
% 27.08/3.87  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 27.08/3.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 27.08/3.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.08/3.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 27.08/3.87  # No SInE strategy applied
% 27.08/3.87  # Search class: FGHSS-FFMF32-MFFFFFNN
% 27.08/3.87  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 27.08/3.87  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 811s (1) cores
% 27.08/3.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 27.08/3.87  # Starting new_bool_3 with 136s (1) cores
% 27.08/3.87  # Starting new_bool_1 with 136s (1) cores
% 27.08/3.87  # Starting sh5l with 136s (1) cores
% 27.08/3.87  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 13131 completed with status 0
% 27.08/3.87  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 27.08/3.87  # Preprocessing class: FSMSSMSSSSSNFFN.
% 27.08/3.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.08/3.87  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 27.08/3.87  # No SInE strategy applied
% 27.08/3.87  # Search class: FGHSS-FFMF32-MFFFFFNN
% 27.08/3.87  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 27.08/3.87  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 811s (1) cores
% 27.08/3.87  # Preprocessing time       : 0.001 s
% 27.08/3.87  # Presaturation interreduction done
% 27.08/3.87  
% 27.08/3.87  # Proof found!
% 27.08/3.87  # SZS status Unsatisfiable
% 27.08/3.87  # SZS output start CNFRefutation
% See solution above
% 27.08/3.87  # Parsed axioms                        : 15
% 27.08/3.87  # Removed by relevancy pruning/SinE    : 0
% 27.08/3.87  # Initial clauses                      : 15
% 27.08/3.87  # Removed in clause preprocessing      : 0
% 27.08/3.87  # Initial clauses in saturation        : 15
% 27.08/3.87  # Processed clauses                    : 6098
% 27.08/3.87  # ...of these trivial                  : 0
% 27.08/3.87  # ...subsumed                          : 1999
% 27.08/3.87  # ...remaining for further processing  : 4099
% 27.08/3.87  # Other redundant clauses eliminated   : 0
% 27.08/3.87  # Clauses deleted for lack of memory   : 0
% 27.08/3.87  # Backward-subsumed                    : 1306
% 27.08/3.87  # Backward-rewritten                   : 10
% 27.08/3.87  # Generated clauses                    : 75259
% 27.08/3.87  # ...of the previous two non-redundant : 75094
% 27.08/3.87  # ...aggressively subsumed             : 0
% 27.08/3.87  # Contextual simplify-reflections      : 152
% 27.08/3.87  # Paramodulations                      : 75257
% 27.08/3.87  # Factorizations                       : 2
% 27.08/3.87  # NegExts                              : 0
% 27.08/3.87  # Equation resolutions                 : 0
% 27.08/3.87  # Disequality decompositions           : 0
% 27.08/3.87  # Total rewrite steps                  : 977
% 27.08/3.87  # ...of those cached                   : 929
% 27.08/3.87  # Propositional unsat checks           : 0
% 27.08/3.87  #    Propositional check models        : 0
% 27.08/3.87  #    Propositional check unsatisfiable : 0
% 27.08/3.87  #    Propositional clauses             : 0
% 27.08/3.87  #    Propositional clauses after purity: 0
% 27.08/3.87  #    Propositional unsat core size     : 0
% 27.08/3.87  #    Propositional preprocessing time  : 0.000
% 27.08/3.87  #    Propositional encoding time       : 0.000
% 27.08/3.87  #    Propositional solver time         : 0.000
% 27.08/3.87  #    Success case prop preproc time    : 0.000
% 27.08/3.87  #    Success case prop encoding time   : 0.000
% 27.08/3.87  #    Success case prop solver time     : 0.000
% 27.08/3.87  # Current number of processed clauses  : 2768
% 27.08/3.87  #    Positive orientable unit clauses  : 14
% 27.08/3.87  #    Positive unorientable unit clauses: 0
% 27.08/3.87  #    Negative unit clauses             : 3
% 27.08/3.87  #    Non-unit-clauses                  : 2751
% 27.08/3.87  # Current number of unprocessed clauses: 68447
% 27.08/3.87  # ...number of literals in the above   : 358469
% 27.08/3.87  # Current number of archived formulas  : 0
% 27.08/3.87  # Current number of archived clauses   : 1331
% 27.08/3.87  # Clause-clause subsumption calls (NU) : 936972
% 27.08/3.87  # Rec. Clause-clause subsumption calls : 401538
% 27.08/3.87  # Non-unit clause-clause subsumptions  : 3111
% 27.08/3.87  # Unit Clause-clause subsumption calls : 14245
% 27.08/3.87  # Rewrite failures with RHS unbound    : 0
% 27.08/3.87  # BW rewrite match attempts            : 138
% 27.08/3.87  # BW rewrite match successes           : 8
% 27.08/3.87  # Condensation attempts                : 0
% 27.08/3.87  # Condensation successes               : 0
% 27.08/3.87  # Termbank termtop insertions          : 7435568
% 27.08/3.87  # Search garbage collected termcells   : 54
% 27.08/3.87  
% 27.08/3.87  # -------------------------------------------------
% 27.08/3.87  # User time                : 3.381 s
% 27.08/3.87  # System time              : 0.059 s
% 27.08/3.87  # Total time               : 3.440 s
% 27.08/3.87  # Maximum resident set size: 1640 pages
% 27.08/3.87  
% 27.08/3.87  # -------------------------------------------------
% 27.08/3.87  # User time                : 16.949 s
% 27.08/3.87  # System time              : 0.106 s
% 27.08/3.87  # Total time               : 17.055 s
% 27.08/3.87  # Maximum resident set size: 1756 pages
% 27.08/3.87  % E---3.1 exiting
% 27.08/3.87  % E exiting
%------------------------------------------------------------------------------