TSTP Solution File: SWV274-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV274-2 : 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 : Wed Jul 20 21:16:28 EDT 2022

% Result   : Unsatisfiable 63.38s 63.61s
% Output   : Refutation 63.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    input ).

cnf(cls_Message_Osynth__trans_0,axiom,
    ( ~ c_in(X18,c_Message_Osynth(X19),tc_Message_Omsg)
    | ~ c_lessequals(X19,c_Message_Osynth(X20),tc_set(tc_Message_Omsg))
    | c_in(X18,c_Message_Osynth(X20),tc_Message_Omsg) ),
    input ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X26,X25,X27),X25,X27)
    | c_lessequals(X26,X25,tc_set(X27)) ),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    input ).

cnf(c4,plain,
    ( X64 != X63
    | X65 != X60
    | X61 != X62
    | ~ c_in(X64,X65,X61)
    | c_in(X63,X60,X62) ),
    eq_axiom ).

cnf(c39,plain,
    ( v_X != X104
    | c_Message_Osynth(v_H) != X105
    | tc_Message_Omsg != X103
    | c_in(X104,X105,X103) ),
    inference(resolution,status(thm),[c4,cls_conjecture_1]) ).

cnf(c64,plain,
    ( v_X != X109
    | tc_Message_Omsg != X110
    | c_in(X109,c_Message_Osynth(v_H),X110) ),
    inference(resolution,status(thm),[c39,reflexivity]) ).

cnf(c77,plain,
    ( v_X != X111
    | c_in(X111,c_Message_Osynth(v_H),tc_Message_Omsg) ),
    inference(resolution,status(thm),[c64,reflexivity]) ).

cnf(symmetry,axiom,
    ( X4 != X3
    | X3 = X4 ),
    eq_axiom ).

cnf(cls_Message_Osynth_OInj_0,axiom,
    ( ~ c_in(X6,X7,tc_Message_Omsg)
    | c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg) ),
    input ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X23,X22,X24),X23,X24)
    | c_lessequals(X23,X22,tc_set(X24)) ),
    input ).

cnf(cls_Set_OinsertE_0,axiom,
    ( ~ c_in(X28,c_insert(X31,X29,X30),X30)
    | c_in(X28,X29,X30)
    | X28 = X31 ),
    input ).

cnf(c16,plain,
    ( c_in(c_Main_OsubsetI__1(c_insert(X112,X115,X114),X113,X114),X115,X114)
    | c_Main_OsubsetI__1(c_insert(X112,X115,X114),X113,X114) = X112
    | c_lessequals(c_insert(X112,X115,X114),X113,tc_set(X114)) ),
    inference(resolution,status(thm),[cls_Set_OinsertE_0,cls_Set_OsubsetI_0]) ).

cnf(c83,plain,
    ( c_Main_OsubsetI__1(c_insert(X407,X406,tc_Message_Omsg),X408,tc_Message_Omsg) = X407
    | c_lessequals(c_insert(X407,X406,tc_Message_Omsg),X408,tc_set(tc_Message_Omsg))
    | c_in(c_Main_OsubsetI__1(c_insert(X407,X406,tc_Message_Omsg),X408,tc_Message_Omsg),c_Message_Osynth(X406),tc_Message_Omsg) ),
    inference(resolution,status(thm),[c16,cls_Message_Osynth_OInj_0]) ).

cnf(c843,plain,
    ( c_Main_OsubsetI__1(c_insert(X1072,X1071,tc_Message_Omsg),c_Message_Osynth(X1071),tc_Message_Omsg) = X1072
    | c_lessequals(c_insert(X1072,X1071,tc_Message_Omsg),c_Message_Osynth(X1071),tc_set(tc_Message_Omsg)) ),
    inference(resolution,status(thm),[c83,cls_Set_OsubsetI_1]) ).

cnf(c3902,plain,
    ( c_Main_OsubsetI__1(c_insert(X6448,X6449,tc_Message_Omsg),c_Message_Osynth(X6449),tc_Message_Omsg) = X6448
    | ~ c_in(X6450,c_Message_Osynth(c_insert(X6448,X6449,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X6450,c_Message_Osynth(X6449),tc_Message_Omsg) ),
    inference(resolution,status(thm),[c843,cls_Message_Osynth__trans_0]) ).

cnf(c74674,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X
    | c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
    inference(resolution,status(thm),[c3902,cls_conjecture_0]) ).

cnf(c75129,plain,
    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X,
    inference(resolution,status(thm),[c74674,cls_conjecture_2]) ).

cnf(c75274,plain,
    v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(resolution,status(thm),[c75129,symmetry]) ).

cnf(c75305,plain,
    c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(resolution,status(thm),[c75274,c77]) ).

cnf(c76875,plain,
    c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
    inference(resolution,status(thm),[c75305,cls_Set_OsubsetI_1]) ).

cnf(c76887,plain,
    ( ~ c_in(X6500,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(X6500,c_Message_Osynth(v_H),tc_Message_Omsg) ),
    inference(resolution,status(thm),[c76875,cls_Message_Osynth__trans_0]) ).

cnf(c78003,plain,
    c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(resolution,status(thm),[c76887,cls_conjecture_0]) ).

cnf(c78074,plain,
    $false,
    inference(resolution,status(thm),[c78003,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem  : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37  % Computer : n003.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Wed Jun 15 15:25:41 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 63.38/63.61  # Version:  1.3
% 63.38/63.61  # SZS status Unsatisfiable
% 63.38/63.61  # SZS output start CNFRefutation
% See solution above
% 63.38/63.61  
% 63.38/63.61  # Initial clauses    : 17
% 63.38/63.61  # Processed clauses  : 1305
% 63.38/63.61  # Factors computed   : 52
% 63.38/63.61  # Resolvents computed: 78033
% 63.38/63.61  # Tautologies deleted: 2
% 63.38/63.61  # Forward subsumed   : 1865
% 63.38/63.61  # Backward subsumed  : 4
% 63.38/63.61  # -------- CPU Time ---------
% 63.38/63.61  # User time          : 62.962 s
% 63.38/63.61  # System time        : 0.269 s
% 63.38/63.61  # Total time         : 63.231 s
%------------------------------------------------------------------------------