TSTP Solution File: SWV258-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV258-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n032.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 : Wed Jul 20 21:16:22 EDT 2022

% Result   : Unsatisfiable 0.14s 0.43s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    input ).

cnf(cls_Message_Oparts__subset__iff_1,axiom,
    ( ~ c_lessequals(X7,c_Message_Oparts(X8),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(X7),c_Message_Oparts(X8),tc_set(tc_Message_Omsg)) ),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    input ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X3,X3,tc_set(X2)),
    input ).

cnf(cls_Message_Oparts__subset__iff_0,axiom,
    ( ~ c_lessequals(c_Message_Oparts(X4),c_Message_Oparts(X5),tc_set(tc_Message_Omsg))
    | c_lessequals(X4,c_Message_Oparts(X5),tc_set(tc_Message_Omsg)) ),
    input ).

cnf(c0,plain,
    c_lessequals(X6,c_Message_Oparts(X6),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[cls_Message_Oparts__subset__iff_0,cls_Set_Osubset__refl_0]) ).

cnf(cls_Set_Oinsert__subset_2,axiom,
    ( ~ c_in(X16,X14,X15)
    | ~ c_lessequals(X17,X14,tc_set(X15))
    | c_lessequals(c_insert(X16,X17,X15),X14,tc_set(X15)) ),
    input ).

cnf(c10,plain,
    ( ~ c_in(X33,c_Message_Oparts(X32),tc_Message_Omsg)
    | c_lessequals(c_insert(X33,X32,tc_Message_Omsg),c_Message_Oparts(X32),tc_set(tc_Message_Omsg)) ),
    inference(resolution,status(thm),[cls_Set_Oinsert__subset_2,c0]) ).

cnf(c29,plain,
    c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[c10,cls_conjecture_0]) ).

cnf(c31,plain,
    c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[c29,cls_Message_Oparts__subset__iff_1]) ).

cnf(c42,plain,
    $false,
    inference(resolution,status(thm),[c31,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SWV258-2 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.10  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 600
% 0.10/0.28  % DateTime : Tue Jun 14 17:25:58 EDT 2022
% 0.10/0.28  % CPUTime  : 
% 0.14/0.43  # Version:  1.3
% 0.14/0.43  # SZS status Unsatisfiable
% 0.14/0.43  # SZS output start CNFRefutation
% See solution above
% 0.14/0.43  
% 0.14/0.43  # Initial clauses    : 6
% 0.14/0.43  # Processed clauses  : 23
% 0.14/0.43  # Factors computed   : 0
% 0.14/0.43  # Resolvents computed: 44
% 0.14/0.43  # Tautologies deleted: 0
% 0.14/0.43  # Forward subsumed   : 9
% 0.14/0.43  # Backward subsumed  : 0
% 0.14/0.43  # -------- CPU Time ---------
% 0.14/0.43  # User time          : 0.130 s
% 0.14/0.43  # System time        : 0.011 s
% 0.14/0.43  # Total time         : 0.141 s
%------------------------------------------------------------------------------