TSTP Solution File: SWV242-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 21:16:16 EDT 2022

% Result   : Unsatisfiable 0.47s 0.63s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    input ).

cnf(cls_Set_OUn__upper1_0,axiom,
    c_lessequals(X2,c_union(X2,X3,X4),tc_set(X4)),
    input ).

cnf(cls_Message_Oanalz__mono_0,axiom,
    ( ~ c_lessequals(X9,X8,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oanalz(X9),c_Message_Oanalz(X8),tc_set(tc_Message_Omsg)) ),
    input ).

cnf(c0,plain,
    c_lessequals(c_Message_Oanalz(X11),c_Message_Oanalz(c_union(X11,X10,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[cls_Message_Oanalz__mono_0,cls_Set_OUn__upper1_0]) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    input ).

cnf(cls_Set_Osubset__trans_0,axiom,
    ( ~ c_lessequals(X15,X17,tc_set(X16))
    | ~ c_lessequals(X14,X15,tc_set(X16))
    | c_lessequals(X14,X17,tc_set(X16)) ),
    input ).

cnf(c12,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_G_H),X84,tc_set(tc_Message_Omsg))
    | c_lessequals(v_G,X84,tc_set(tc_Message_Omsg)) ),
    inference(resolution,status(thm),[cls_Set_Osubset__trans_0,cls_conjecture_0]) ).

cnf(c88,plain,
    c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,X90,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[c12,c0]) ).

cnf(c99,plain,
    ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[c88,cls_conjecture_2]) ).

cnf(cls_Set_OUn__upper2_0,axiom,
    c_lessequals(X6,c_union(X5,X6,X7),tc_set(X7)),
    input ).

cnf(c3,plain,
    c_lessequals(c_Message_Oanalz(X13),c_Message_Oanalz(c_union(X12,X13,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[cls_Message_Oanalz__mono_0,cls_Set_OUn__upper2_0]) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    input ).

cnf(c17,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_H_H),X91,tc_set(tc_Message_Omsg))
    | c_lessequals(v_H,X91,tc_set(tc_Message_Omsg)) ),
    inference(resolution,status(thm),[cls_Set_Osubset__trans_0,cls_conjecture_1]) ).

cnf(c113,plain,
    c_lessequals(v_H,c_Message_Oanalz(c_union(X94,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[c17,c3]) ).

cnf(c123,plain,
    $false,
    inference(resolution,status(thm),[c113,c99]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV242-2 : 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 : n019.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 : Wed Jun 15 22:04:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.47/0.63  # Version:  1.3
% 0.47/0.63  # SZS status Unsatisfiable
% 0.47/0.63  # SZS output start CNFRefutation
% See solution above
% 0.47/0.63  
% 0.47/0.63  # Initial clauses    : 7
% 0.47/0.63  # Processed clauses  : 40
% 0.47/0.63  # Factors computed   : 0
% 0.47/0.63  # Resolvents computed: 126
% 0.47/0.63  # Tautologies deleted: 0
% 0.47/0.63  # Forward subsumed   : 0
% 0.47/0.63  # Backward subsumed  : 1
% 0.47/0.63  # -------- CPU Time ---------
% 0.47/0.63  # User time          : 0.270 s
% 0.47/0.63  # System time        : 0.014 s
% 0.47/0.63  # Total time         : 0.284 s
%------------------------------------------------------------------------------