%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV254-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 : Wed Jul 20 21:16:20 EDT 2022

% Result   : Unsatisfiable 0.47s 0.63s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_Oempty__not__insert_0,axiom,
    c_emptyset != c_insert(X13,X15,X14),
    input ).

cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom,
    c_SetInterval_OatLeastLessThan(X18,c_Suc(X18),tc_nat) = c_insert(X18,c_emptyset,tc_nat),
    input ).

cnf(transitivity,axiom,
    ( X22 != X24
    | X24 != X23
    | X22 = X23 ),
    eq_axiom ).

cnf(c17,plain,
    ( X98 != c_SetInterval_OatLeastLessThan(X97,c_Suc(X97),tc_nat)
    | X98 = c_insert(X97,c_emptyset,tc_nat) ),
    inference(resolution,status(thm),[transitivity,cls_SetInterval_OatLeastLessThan__singleton_0]) ).

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

cnf(clsarity_nat_3,axiom,
    class_Orderings_Oorder(tc_nat),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(X4,v_x(X4),tc_nat),
    input ).

cnf(cls_SetInterval_OatLeastLessThan__empty_0,axiom,
    ( ~ class_Orderings_Oorder(X8)
    | ~ c_lessequals(X7,X9,X8)
    | c_SetInterval_OatLeastLessThan(X9,X7,X8) = c_emptyset ),
    input ).

cnf(c8,plain,
    ( ~ class_Orderings_Oorder(tc_nat)
    | c_SetInterval_OatLeastLessThan(v_x(X77),X77,tc_nat) = c_emptyset ),
    inference(resolution,status(thm),[cls_SetInterval_OatLeastLessThan__empty_0,cls_conjecture_0]) ).

cnf(c64,plain,
    c_SetInterval_OatLeastLessThan(v_x(X80),X80,tc_nat) = c_emptyset,
    inference(resolution,status(thm),[c8,clsarity_nat_3]) ).

cnf(c69,plain,
    ( X128 != c_SetInterval_OatLeastLessThan(v_x(X127),X127,tc_nat)
    | X128 = c_emptyset ),
    inference(resolution,status(thm),[c64,transitivity]) ).

cnf(cls_conjecture_1,negated_conjecture,
    v_x(X3) = v_nat,
    input ).

cnf(c7,plain,
    v_nat = v_x(X11),
    inference(resolution,status(thm),[symmetry,cls_conjecture_1]) ).

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

cnf(c0,plain,
    ( X30 != X29
    | X28 != X31
    | X27 != X32
    | c_SetInterval_OatLeastLessThan(X30,X28,X27) = c_SetInterval_OatLeastLessThan(X29,X31,X32) ),
    eq_axiom ).

cnf(c19,plain,
    ( X110 != X106
    | X109 != X107
    | c_SetInterval_OatLeastLessThan(X110,X109,X108) = c_SetInterval_OatLeastLessThan(X106,X107,X108) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c111,plain,
    ( X143 != X141
    | c_SetInterval_OatLeastLessThan(X143,X142,X140) = c_SetInterval_OatLeastLessThan(X141,X142,X140) ),
    inference(resolution,status(thm),[c19,reflexivity]) ).

cnf(c184,plain,
    c_SetInterval_OatLeastLessThan(v_nat,X156,X155) = c_SetInterval_OatLeastLessThan(v_x(X157),X156,X155),
    inference(resolution,status(thm),[c111,c7]) ).

cnf(c222,plain,
    c_SetInterval_OatLeastLessThan(v_nat,X158,tc_nat) = c_emptyset,
    inference(resolution,status(thm),[c184,c69]) ).

cnf(c232,plain,
    c_emptyset = c_SetInterval_OatLeastLessThan(v_nat,X159,tc_nat),
    inference(resolution,status(thm),[c222,symmetry]) ).

cnf(c246,plain,
    c_emptyset = c_insert(v_nat,c_emptyset,tc_nat),
    inference(resolution,status(thm),[c232,c17]) ).

cnf(c278,plain,
    $false,
    inference(resolution,status(thm),[c246,cls_Set_Oempty__not__insert_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV254-2 : 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 : n007.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 : Wed Jun 15 19:35:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.47/0.63  # Version:  1.3
% 0.47/0.63  # SZS status Unsatisfiable
% 0.47/0.63  # SZS output start CNFRefutation
% See solution above
% 0.47/0.63  
% 0.47/0.63  # Initial clauses    : 15
% 0.47/0.63  # Processed clauses  : 57
% 0.47/0.63  # Factors computed   : 0
% 0.47/0.63  # Resolvents computed: 283
% 0.47/0.63  # Tautologies deleted: 2
% 0.47/0.63  # Forward subsumed   : 32
% 0.47/0.63  # Backward subsumed  : 1
% 0.47/0.63  # -------- CPU Time ---------
% 0.47/0.63  # User time          : 0.264 s
% 0.47/0.63  # System time        : 0.011 s
% 0.47/0.63  # Total time         : 0.275 s
%------------------------------------------------------------------------------