TSTP Solution File: SWV239-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV239-2 : 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 : Wed Jul 20 21:16:15 EDT 2022

% Result   : Unsatisfiable 0.39s 0.59s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    input ).

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

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X7,X8,X9),X8,X9)
    | c_lessequals(X7,X8,tc_set(X9)) ),
    input ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X4,X5,X6),X4,X6)
    | c_lessequals(X4,X5,tc_set(X6)) ),
    input ).

cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
    ( ~ c_in(X13,c_Message_Oanalz(c_Message_Oanalz(X12)),tc_Message_Omsg)
    | c_in(X13,c_Message_Oanalz(X12),tc_Message_Omsg) ),
    input ).

cnf(c1,plain,
    ( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X15)),X14,tc_Message_Omsg),c_Message_Oanalz(X15),tc_Message_Omsg)
    | c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X15)),X14,tc_set(tc_Message_Omsg)) ),
    inference(resolution,status(thm),[cls_Message_Oanalz__analzD__dest_0,cls_Set_OsubsetI_0]) ).

cnf(c4,plain,
    c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X16)),c_Message_Oanalz(X16),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[c1,cls_Set_OsubsetI_1]) ).

cnf(cls_Message_Oanalz__subset__cong_0,axiom,
    ( ~ c_lessequals(c_Message_Oanalz(X22),c_Message_Oanalz(X25),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X24),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(c_union(X23,X22,tc_Message_Omsg)),c_Message_Oanalz(c_union(X24,X25,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    input ).

cnf(c10,plain,
    ( ~ c_lessequals(c_Message_Oanalz(X42),c_Message_Oanalz(X43),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X41),X42,tc_Message_Omsg)),c_Message_Oanalz(c_union(X41,X43,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(resolution,status(thm),[cls_Message_Oanalz__subset__cong_0,c4]) ).

cnf(c41,plain,
    c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X44),X45,tc_Message_Omsg)),c_Message_Oanalz(c_union(X44,X45,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[c10,cls_Set_Osubset__refl_0]) ).

cnf(c48,plain,
    $false,
    inference(resolution,status(thm),[c41,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV239-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 13:37:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.39/0.59  # Version:  1.3
% 0.39/0.59  # SZS status Unsatisfiable
% 0.39/0.59  # SZS output start CNFRefutation
% See solution above
% 0.39/0.59  
% 0.39/0.59  # Initial clauses    : 6
% 0.39/0.59  # Processed clauses  : 20
% 0.39/0.59  # Factors computed   : 0
% 0.39/0.59  # Resolvents computed: 49
% 0.39/0.59  # Tautologies deleted: 0
% 0.39/0.59  # Forward subsumed   : 2
% 0.39/0.59  # Backward subsumed  : 0
% 0.39/0.59  # -------- CPU Time ---------
% 0.39/0.59  # User time          : 0.217 s
% 0.39/0.59  # System time        : 0.019 s
% 0.39/0.59  # Total time         : 0.236 s
%------------------------------------------------------------------------------