%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 19:22:49 EDT 2022

% Result   : Unsatisfiable 1.13s 1.34s
% Output   : Refutation 1.13s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    input ).

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

cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X4)
    | class_OrderedGroup_Opordered__ab__group__add(X4) ),
    input ).

cnf(c9,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_54,tfree_tcs]) ).

cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X16)
    | ~ c_lessequals(c_plus(X15,X17,X16),X14,X16)
    | c_lessequals(X15,c_minus(X14,X17,X16),X16) ),
    input ).

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

cnf(cls_OrderedGroup_Ocompare__rls__10_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X6)
    | X5 = c_plus(c_minus(X5,X7,X6),X7,X6) ),
    input ).

cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | class_OrderedGroup_Oab__group__add(X3) ),
    input ).

cnf(c10,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(resolution,status(thm),[c9,clsrel_OrderedGroup_Opordered__ab__group__add_0]) ).

cnf(c11,plain,
    X45 = c_plus(c_minus(X45,X46,t_b),X46,t_b),
    inference(resolution,status(thm),[c10,cls_OrderedGroup_Ocompare__rls__10_0]) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(v_k(X11),v_f(X11),t_b),
    input ).

cnf(c7,plain,
    ( X68 != X65
    | X67 != X63
    | X64 != X66
    | ~ c_lessequals(X68,X67,X64)
    | c_lessequals(X65,X63,X66) ),
    eq_axiom ).

cnf(c48,plain,
    ( v_k(X208) != X206
    | v_f(X208) != X207
    | t_b != X209
    | c_lessequals(X206,X207,X209) ),
    inference(resolution,status(thm),[c7,cls_conjecture_1]) ).

cnf(c228,plain,
    ( v_k(X210) != X212
    | t_b != X211
    | c_lessequals(X212,v_f(X210),X211) ),
    inference(resolution,status(thm),[c48,reflexivity]) ).

cnf(c231,plain,
    ( t_b != X469
    | c_lessequals(c_plus(c_minus(v_k(X471),X470,t_b),X470,t_b),v_f(X471),X469) ),
    inference(resolution,status(thm),[c228,c11]) ).

cnf(c1326,plain,
    c_lessequals(c_plus(c_minus(v_k(X472),X473,t_b),X473,t_b),v_f(X472),t_b),
    inference(resolution,status(thm),[c231,reflexivity]) ).

cnf(c1329,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
    | c_lessequals(c_minus(v_k(X788),X787,t_b),c_minus(v_f(X788),X787,t_b),t_b) ),
    inference(resolution,status(thm),[c1326,cls_OrderedGroup_Ocompare__rls__9_1]) ).

cnf(c2316,plain,
    c_lessequals(c_minus(v_k(X790),X789,t_b),c_minus(v_f(X790),X789,t_b),t_b),
    inference(resolution,status(thm),[c1329,c9]) ).

cnf(c2318,plain,
    $false,
    inference(resolution,status(thm),[c2316,cls_conjecture_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n012.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 : Fri Jul  8 05:00:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.13/1.34  # Version:  1.3
% 1.13/1.34  # SZS status Unsatisfiable
% 1.13/1.34  # SZS output start CNFRefutation
% See solution above
% 1.13/1.34  
% 1.13/1.34  # Initial clauses    : 19
% 1.13/1.34  # Processed clauses  : 225
% 1.13/1.34  # Factors computed   : 0
% 1.13/1.34  # Resolvents computed: 2362
% 1.13/1.34  # Tautologies deleted: 4
% 1.13/1.34  # Forward subsumed   : 71
% 1.13/1.34  # Backward subsumed  : 1
% 1.13/1.34  # -------- CPU Time ---------
% 1.13/1.34  # User time          : 0.958 s
% 1.13/1.34  # System time        : 0.026 s
% 1.13/1.34  # Total time         : 0.984 s
%------------------------------------------------------------------------------