%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : ANA037-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 19:22:58 EDT 2022

% Result   : Unsatisfiable 0.38s 0.55s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_8,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),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_44,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X4)
    | class_Orderings_Oorder(X4) ),
    input ).

cnf(c2,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).

cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
    ( ~ class_Orderings_Oorder(X10)
    | ~ c_lessequals(X12,X13,X10)
    | ~ c_lessequals(X11,X12,X10)
    | c_lessequals(X11,X13,X10) ),
    input ).

cnf(cls_conjecture_4,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
    input ).

cnf(c6,plain,
    ( ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_times(v_c,v_f(v_xa),t_b),X57,t_b)
    | c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),X57,t_b) ),
    inference(resolution,status(thm),[cls_conjecture_4,cls_Orderings_Oorder__class_Oorder__trans_0]) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | class_Ring__and__Field_Opordered__semiring(X3) ),
    input ).

cnf(c1,plain,
    class_Ring__and__Field_Opordered__semiring(t_b),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | class_Orderings_Olinorder(X2) ),
    input ).

cnf(c0,plain,
    class_Orderings_Olinorder(t_b),
    inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).

cnf(cls_Orderings_Ole__maxI1_0,axiom,
    ( ~ class_Orderings_Olinorder(X5)
    | c_lessequals(X6,c_Orderings_Omax(X6,X7,X5),X5) ),
    input ).

cnf(c3,plain,
    c_lessequals(X8,c_Orderings_Omax(X8,X9,t_b),t_b),
    inference(resolution,status(thm),[cls_Orderings_Ole__maxI1_0,c0]) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(c_0,v_f(v_xa),t_b),
    input ).

cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X34)
    | ~ c_lessequals(X37,X36,X34)
    | ~ c_lessequals(c_0,X35,X34)
    | c_lessequals(c_times(X37,X35,X34),c_times(X36,X35,X34),X34) ),
    input ).

cnf(c19,plain,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | ~ c_lessequals(X75,X76,t_b)
    | c_lessequals(c_times(X75,v_f(v_xa),t_b),c_times(X76,v_f(v_xa),t_b),t_b) ),
    inference(resolution,status(thm),[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,cls_conjecture_2]) ).

cnf(c44,plain,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | c_lessequals(c_times(X102,v_f(v_xa),t_b),c_times(c_Orderings_Omax(X102,X103,t_b),v_f(v_xa),t_b),t_b) ),
    inference(resolution,status(thm),[c19,c3]) ).

cnf(c81,plain,
    c_lessequals(c_times(X104,v_f(v_xa),t_b),c_times(c_Orderings_Omax(X104,X105,t_b),v_f(v_xa),t_b),t_b),
    inference(resolution,status(thm),[c44,c1]) ).

cnf(c85,plain,
    ( ~ class_Orderings_Oorder(t_b)
    | c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,X110,t_b),v_f(v_xa),t_b),t_b) ),
    inference(resolution,status(thm),[c81,c6]) ).

cnf(c98,plain,
    c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,X111,t_b),v_f(v_xa),t_b),t_b),
    inference(resolution,status(thm),[c85,c2]) ).

cnf(c101,plain,
    $false,
    inference(resolution,status(thm),[c98,cls_conjecture_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA037-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n005.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 04:29:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.38/0.55  # Version:  1.3
% 0.38/0.55  # SZS status Unsatisfiable
% 0.38/0.55  # SZS output start CNFRefutation
% See solution above
% 0.38/0.55  
% 0.38/0.55  # Initial clauses    : 10
% 0.38/0.55  # Processed clauses  : 44
% 0.38/0.55  # Factors computed   : 0
% 0.38/0.55  # Resolvents computed: 104
% 0.38/0.55  # Tautologies deleted: 0
% 0.38/0.55  # Forward subsumed   : 6
% 0.38/0.55  # Backward subsumed  : 10
% 0.38/0.55  # -------- CPU Time ---------
% 0.38/0.55  # User time          : 0.199 s
% 0.38/0.55  # System time        : 0.013 s
% 0.38/0.55  # Total time         : 0.212 s
%------------------------------------------------------------------------------