%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET841-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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  : 600s
% DateTime : Tue Jul 19 04:40:39 EDT 2022

% Result   : Unsatisfiable 2.09s 2.27s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X3,X3,tc_set(X4)),
    input ).

cnf(c3,plain,
    ( X47 != X45
    | X42 != X44
    | X43 != X46
    | ~ c_lessequals(X47,X42,X43)
    | c_lessequals(X45,X44,X46) ),
    eq_axiom ).

cnf(c56,plain,
    ( X49 != X51
    | X49 != X48
    | tc_set(X50) != X52
    | c_lessequals(X51,X48,X52) ),
    inference(resolution,status(thm),[c3,cls_Set_Osubset__refl_0]) ).

cnf(c58,plain,
    ( X54 != X55
    | X54 != X53
    | c_lessequals(X55,X53,tc_set(X56)) ),
    inference(resolution,status(thm),[c56,reflexivity]) ).

cnf(c61,plain,
    ( X57 != X59
    | c_lessequals(X59,X57,tc_set(X58)) ),
    inference(resolution,status(thm),[c58,reflexivity]) ).

cnf(symmetry,axiom,
    ( X6 != X5
    | X5 = X6 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X14 != X13
    | X13 != X12
    | X14 = X12 ),
    eq_axiom ).

cnf(cls_conjecture_1,negated_conjecture,
    v_m = c_Zorn_Osucc(v_S,v_m,t_a),
    input ).

cnf(c6,plain,
    c_Zorn_Osucc(v_S,v_m,t_a) = v_m,
    inference(resolution,status(thm),[cls_conjecture_1,symmetry]) ).

cnf(c12,plain,
    ( X21 != c_Zorn_Osucc(v_S,v_m,t_a)
    | X21 = v_m ),
    inference(resolution,status(thm),[c6,transitivity]) ).

cnf(c2,plain,
    ( X36 != X34
    | X31 != X33
    | X32 != X35
    | c_Zorn_Osucc(X36,X31,X32) = c_Zorn_Osucc(X34,X33,X35) ),
    eq_axiom ).

cnf(c37,plain,
    ( X93 != X91
    | X94 != X92
    | c_Zorn_Osucc(X93,X94,X90) = c_Zorn_Osucc(X91,X92,X90) ),
    inference(resolution,status(thm),[c2,reflexivity]) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
    input ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    input ).

cnf(cls_Zorn_OTFin__subsetD_0,axiom,
    ( ~ c_in(X10,c_Zorn_OTFin(X9,X8),tc_set(tc_set(X8)))
    | ~ c_in(X11,c_Zorn_OTFin(X9,X8),tc_set(tc_set(X8)))
    | ~ c_lessequals(X10,X11,tc_set(tc_set(X8)))
    | c_lessequals(c_Zorn_Osucc(X9,X10,X8),X11,tc_set(tc_set(X8)))
    | X10 = X11 ),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    input ).

cnf(c11,plain,
    ( ~ c_in(X76,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(X76,v_m,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,X76,t_a),v_m,tc_set(tc_set(t_a)))
    | X76 = v_m ),
    inference(resolution,status(thm),[cls_conjecture_0,cls_Zorn_OTFin__subsetD_0]) ).

cnf(c81,plain,
    ( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))
    | v_x = v_m ),
    inference(resolution,status(thm),[c11,cls_conjecture_2]) ).

cnf(c814,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))
    | v_x = v_m ),
    inference(resolution,status(thm),[c81,cls_conjecture_3]) ).

cnf(c2144,plain,
    v_x = v_m,
    inference(resolution,status(thm),[c814,cls_conjecture_4]) ).

cnf(c2261,plain,
    ( X826 != X825
    | c_Zorn_Osucc(X826,v_x,X827) = c_Zorn_Osucc(X825,v_m,X827) ),
    inference(resolution,status(thm),[c2144,c37]) ).

cnf(c5745,plain,
    c_Zorn_Osucc(X828,v_x,X829) = c_Zorn_Osucc(X828,v_m,X829),
    inference(resolution,status(thm),[c2261,reflexivity]) ).

cnf(c5819,plain,
    c_Zorn_Osucc(v_S,v_x,t_a) = v_m,
    inference(resolution,status(thm),[c5745,c12]) ).

cnf(c5870,plain,
    v_m = c_Zorn_Osucc(v_S,v_x,t_a),
    inference(resolution,status(thm),[c5819,symmetry]) ).

cnf(c5958,plain,
    c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(X845)),
    inference(resolution,status(thm),[c5870,c61]) ).

cnf(c6205,plain,
    $false,
    inference(resolution,status(thm),[c5958,cls_conjecture_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET841-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 00:39:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.09/2.27  # Version:  1.3
% 2.09/2.27  # SZS status Unsatisfiable
% 2.09/2.27  # SZS output start CNFRefutation
% See solution above
% 2.09/2.27  
% 2.09/2.27  # Initial clauses    : 15
% 2.09/2.27  # Processed clauses  : 287
% 2.09/2.27  # Factors computed   : 2
% 2.09/2.27  # Resolvents computed: 6200
% 2.09/2.27  # Tautologies deleted: 1
% 2.09/2.27  # Forward subsumed   : 307
% 2.09/2.27  # Backward subsumed  : 6
% 2.09/2.27  # -------- CPU Time ---------
% 2.09/2.27  # User time          : 1.907 s
% 2.09/2.27  # System time        : 0.021 s
% 2.09/2.27  # Total time         : 1.928 s
%------------------------------------------------------------------------------