%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 : Thu Jul 14 19:22:39 EDT 2022

% Result   : Unsatisfiable 6.70s 6.95s
% Output   : Refutation 6.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
    input ).

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

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    input ).

cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X4)
    | class_OrderedGroup_Oab__group__add(X4) ),
    input ).

cnf(c9,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_4,tfree_tcs]) ).

cnf(cls_OrderedGroup_Oright__minus_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X15)
    | c_plus(X16,c_uminus(X16,X15),X15) = c_0 ),
    input ).

cnf(c13,plain,
    c_plus(X41,c_uminus(X41,t_b),t_b) = c_0,
    inference(resolution,status(thm),[cls_OrderedGroup_Oright__minus_0,c9]) ).

cnf(c5,plain,
    ( X61 != X60
    | X62 != X58
    | X59 != X57
    | ~ c_lessequals(X61,X62,X59)
    | c_lessequals(X60,X58,X57) ),
    eq_axiom ).

cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    input ).

cnf(c8,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_37,tfree_tcs]) ).

cnf(cls_OrderedGroup_Oadd__le__cancel__right_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
    | ~ c_lessequals(X7,X5,X6)
    | c_lessequals(c_plus(X7,X8,X6),c_plus(X5,X8,X6),X6) ),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_lb(X12),v_f(X12),t_b),
    input ).

cnf(c11,plain,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | c_lessequals(c_plus(v_lb(X69),X70,t_b),c_plus(v_f(X69),X70,t_b),t_b) ),
    inference(resolution,status(thm),[cls_conjecture_0,cls_OrderedGroup_Oadd__le__cancel__right_1]) ).

cnf(c65,plain,
    c_lessequals(c_plus(v_lb(X116),X117,t_b),c_plus(v_f(X116),X117,t_b),t_b),
    inference(resolution,status(thm),[c11,c8]) ).

cnf(c153,plain,
    ( c_plus(v_lb(X869),X868,t_b) != X866
    | c_plus(v_f(X869),X868,t_b) != X867
    | t_b != X865
    | c_lessequals(X866,X867,X865) ),
    inference(resolution,status(thm),[c65,c5]) ).

cnf(c5305,plain,
    ( c_plus(v_lb(X1808),X1810,t_b) != X1809
    | t_b != X1811
    | c_lessequals(X1809,c_plus(v_f(X1808),X1810,t_b),X1811) ),
    inference(resolution,status(thm),[c153,reflexivity]) ).

cnf(c18974,plain,
    ( t_b != X1823
    | c_lessequals(c_0,c_plus(v_f(X1822),c_uminus(v_lb(X1822),t_b),t_b),X1823) ),
    inference(resolution,status(thm),[c5305,c13]) ).

cnf(c19176,plain,
    c_lessequals(c_0,c_plus(v_f(X1824),c_uminus(v_lb(X1824),t_b),t_b),t_b),
    inference(resolution,status(thm),[c18974,reflexivity]) ).

cnf(c19177,plain,
    $false,
    inference(resolution,status(thm),[c19176,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Fri Jul  8 04:18:58 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 6.70/6.95  # Version:  1.3
% 6.70/6.95  # SZS status Unsatisfiable
% 6.70/6.95  # SZS output start CNFRefutation
% See solution above
% 6.70/6.95  
% 6.70/6.95  # Initial clauses    : 18
% 6.70/6.95  # Processed clauses  : 617
% 6.70/6.95  # Factors computed   : 0
% 6.70/6.95  # Resolvents computed: 19172
% 6.70/6.95  # Tautologies deleted: 4
% 6.70/6.95  # Forward subsumed   : 203
% 6.70/6.95  # Backward subsumed  : 1
% 6.70/6.95  # -------- CPU Time ---------
% 6.70/6.95  # User time          : 6.561 s
% 6.70/6.95  # System time        : 0.068 s
% 6.70/6.95  # Total time         : 6.629 s
%------------------------------------------------------------------------------