%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 19:22:59 EDT 2022

% Result   : Unsatisfiable 0.39s 0.60s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
    input ).

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

cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | class_Orderings_Oorder(X3) ),
    input ).

cnf(c1,plain,
    class_Orderings_Oorder(t_a),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_h(X4),t_a),c_times(v_c,c_HOL_Oabs(v_f(X4),t_a),t_a),t_a),
    input ).

cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
    ( ~ class_Orderings_Oorder(X14)
    | ~ c_lessequals(X15,X12,X14)
    | ~ c_lessequals(X13,X15,X14)
    | c_lessequals(X13,X12,X14) ),
    input ).

cnf(c5,plain,
    ( ~ class_Orderings_Oorder(t_a)
    | ~ c_lessequals(c_times(v_c,c_HOL_Oabs(v_f(X31),t_a),t_a),X30,t_a)
    | c_lessequals(c_HOL_Oabs(v_h(X31),t_a),X30,t_a) ),
    inference(resolution,status(thm),[cls_Orderings_Oorder__class_Oorder__trans_0,cls_conjecture_0]) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | class_Ring__and__Field_Opordered__semiring(X2) ),
    input ).

cnf(c0,plain,
    class_Ring__and__Field_Opordered__semiring(t_a),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X5)
    | class_OrderedGroup_Olordered__ab__group__abs(X5) ),
    input ).

cnf(c2,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_a),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).

cnf(cls_OrderedGroup_Oabs__ge__self_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
    | c_lessequals(X6,c_HOL_Oabs(X6,X7),X7) ),
    input ).

cnf(c3,plain,
    c_lessequals(X8,c_HOL_Oabs(X8,t_a),t_a),
    inference(resolution,status(thm),[cls_OrderedGroup_Oabs__ge__self_0,c2]) ).

cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X10)
    | c_lessequals(c_0,c_HOL_Oabs(X9,X10),X10) ),
    input ).

cnf(c4,plain,
    c_lessequals(c_0,c_HOL_Oabs(X11,t_a),t_a),
    inference(resolution,status(thm),[cls_OrderedGroup_Oabs__ge__zero_0,c2]) ).

cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X23)
    | ~ c_lessequals(X21,X20,X23)
    | ~ c_lessequals(c_0,X22,X23)
    | c_lessequals(c_times(X21,X22,X23),c_times(X20,X22,X23),X23) ),
    input ).

cnf(c15,plain,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_a)
    | ~ c_lessequals(X55,X56,t_a)
    | c_lessequals(c_times(X55,c_HOL_Oabs(X57,t_a),t_a),c_times(X56,c_HOL_Oabs(X57,t_a),t_a),t_a) ),
    inference(resolution,status(thm),[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,c4]) ).

cnf(c70,plain,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_a)
    | c_lessequals(c_times(X80,c_HOL_Oabs(X79,t_a),t_a),c_times(c_HOL_Oabs(X80,t_a),c_HOL_Oabs(X79,t_a),t_a),t_a) ),
    inference(resolution,status(thm),[c15,c3]) ).

cnf(c107,plain,
    c_lessequals(c_times(X82,c_HOL_Oabs(X81,t_a),t_a),c_times(c_HOL_Oabs(X82,t_a),c_HOL_Oabs(X81,t_a),t_a),t_a),
    inference(resolution,status(thm),[c70,c0]) ).

cnf(c111,plain,
    ( ~ class_Orderings_Oorder(t_a)
    | c_lessequals(c_HOL_Oabs(v_h(X92),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(X92),t_a),t_a),t_a) ),
    inference(resolution,status(thm),[c107,c5]) ).

cnf(c140,plain,
    c_lessequals(c_HOL_Oabs(v_h(X94),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(X94),t_a),t_a),t_a),
    inference(resolution,status(thm),[c111,c1]) ).

cnf(c145,plain,
    $false,
    inference(resolution,status(thm),[c140,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 05:59:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.39/0.60  # Version:  1.3
% 0.39/0.60  # SZS status Unsatisfiable
% 0.39/0.60  # SZS output start CNFRefutation
% See solution above
% 0.39/0.60  
% 0.39/0.60  # Initial clauses    : 10
% 0.39/0.60  # Processed clauses  : 56
% 0.39/0.60  # Factors computed   : 0
% 0.39/0.60  # Resolvents computed: 147
% 0.39/0.60  # Tautologies deleted: 0
% 0.39/0.60  # Forward subsumed   : 17
% 0.39/0.60  # Backward subsumed  : 16
% 0.39/0.60  # -------- CPU Time ---------
% 0.39/0.60  # User time          : 0.238 s
% 0.39/0.60  # System time        : 0.019 s
% 0.39/0.60  # Total time         : 0.257 s
%------------------------------------------------------------------------------