TSTP Solution File: ANA038-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : ANA038-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 0.40s 0.60s
% Output   : Refutation 0.40s
% 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_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(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(X13,X12,X10)
    | ~ c_lessequals(X11,X13,X10)
    | c_lessequals(X11,X12,X10) ),
    input ).

cnf(cls_conjecture_5,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
    input ).

cnf(c6,plain,
    ( ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X57,t_b)
    | c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X57,t_b) ),
    inference(resolution,status(thm),[cls_conjecture_5,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__maxI2_0,axiom,
    ( ~ class_Orderings_Olinorder(X6)
    | c_lessequals(X7,c_Orderings_Omax(X5,X7,X6),X6) ),
    input ).

cnf(c3,plain,
    c_lessequals(X8,c_Orderings_Omax(X9,X8,t_b),t_b),
    inference(resolution,status(thm),[cls_Orderings_Ole__maxI2_0,c0]) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_lessequals(c_0,v_g(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(X35,X36,X34)
    | ~ c_lessequals(c_0,X37,X34)
    | c_lessequals(c_times(X35,X37,X34),c_times(X36,X37,X34),X34) ),
    input ).

cnf(c22,plain,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | ~ c_lessequals(X105,X104,t_b)
    | c_lessequals(c_times(X105,v_g(v_xa),t_b),c_times(X104,v_g(v_xa),t_b),t_b) ),
    inference(resolution,status(thm),[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,cls_conjecture_3]) ).

cnf(c77,plain,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | c_lessequals(c_times(X106,v_g(v_xa),t_b),c_times(c_Orderings_Omax(X107,X106,t_b),v_g(v_xa),t_b),t_b) ),
    inference(resolution,status(thm),[c22,c3]) ).

cnf(c92,plain,
    c_lessequals(c_times(X112,v_g(v_xa),t_b),c_times(c_Orderings_Omax(X111,X112,t_b),v_g(v_xa),t_b),t_b),
    inference(resolution,status(thm),[c77,c1]) ).

cnf(c108,plain,
    ( ~ class_Orderings_Oorder(t_b)
    | c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(X113,v_ca,t_b),v_g(v_xa),t_b),t_b) ),
    inference(resolution,status(thm),[c92,c6]) ).

cnf(c110,plain,
    c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(X114,v_ca,t_b),v_g(v_xa),t_b),t_b),
    inference(resolution,status(thm),[c108,c2]) ).

cnf(c115,plain,
    $false,
    inference(resolution,status(thm),[c110,cls_conjecture_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA038-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jul  8 05:28:42 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.40/0.60  # Version:  1.3
% 0.40/0.60  # SZS status Unsatisfiable
% 0.40/0.60  # SZS output start CNFRefutation
% See solution above
% 0.40/0.60  
% 0.40/0.60  # Initial clauses    : 10
% 0.40/0.60  # Processed clauses  : 45
% 0.40/0.60  # Factors computed   : 0
% 0.40/0.60  # Resolvents computed: 117
% 0.40/0.60  # Tautologies deleted: 0
% 0.40/0.60  # Forward subsumed   : 6
% 0.40/0.60  # Backward subsumed  : 10
% 0.40/0.60  # -------- CPU Time ---------
% 0.40/0.60  # User time          : 0.236 s
% 0.40/0.60  # System time        : 0.019 s
% 0.40/0.60  # Total time         : 0.255 s
%------------------------------------------------------------------------------