TSTP Solution File: SET849-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET849-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 : Tue Jul 19 04:40:45 EDT 2022

% Result   : Unsatisfiable 0.18s 0.56s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    input ).

cnf(symmetry,axiom,
    ( X5 != X6
    | X6 = X5 ),
    eq_axiom ).

cnf(cls_Zorn_Oequal__succ__Union_1,axiom,
    ( ~ c_in(c_Union(c_Zorn_OTFin(X27,X26),tc_set(X26)),c_Zorn_OTFin(X27,X26),tc_set(tc_set(X26)))
    | c_Union(c_Zorn_OTFin(X27,X26),tc_set(X26)) = c_Zorn_Osucc(X27,c_Union(c_Zorn_OTFin(X27,X26),tc_set(X26)),X26) ),
    input ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X4,X4,tc_set(X3)),
    input ).

cnf(cls_Zorn_OTFin__UnionI_0,axiom,
    ( ~ c_lessequals(X12,c_Zorn_OTFin(X13,X11),tc_set(tc_set(tc_set(X11))))
    | c_in(c_Union(X12,tc_set(X11)),c_Zorn_OTFin(X13,X11),tc_set(tc_set(X11))) ),
    input ).

cnf(c8,plain,
    c_in(c_Union(c_Zorn_OTFin(X39,X40),tc_set(X40)),c_Zorn_OTFin(X39,X40),tc_set(tc_set(X40))),
    inference(resolution,status(thm),[cls_Zorn_OTFin__UnionI_0,cls_Set_Osubset__refl_0]) ).

cnf(c14,plain,
    c_Union(c_Zorn_OTFin(X86,X85),tc_set(X85)) = c_Zorn_Osucc(X86,c_Union(c_Zorn_OTFin(X86,X85),tc_set(X85)),X85),
    inference(resolution,status(thm),[c8,cls_Zorn_Oequal__succ__Union_1]) ).

cnf(c24,plain,
    c_Zorn_Osucc(X92,c_Union(c_Zorn_OTFin(X92,X93),tc_set(X93)),X93) = c_Union(c_Zorn_OTFin(X92,X93),tc_set(X93)),
    inference(resolution,status(thm),[c14,symmetry]) ).

cnf(c37,plain,
    $false,
    inference(resolution,status(thm),[c24,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET849-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n022.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 : Sun Jul 10 14:44:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.56  # Version:  1.3
% 0.18/0.56  # SZS status Unsatisfiable
% 0.18/0.56  # SZS output start CNFRefutation
% See solution above
% 0.18/0.56  
% 0.18/0.56  # Initial clauses    : 13
% 0.18/0.56  # Processed clauses  : 24
% 0.18/0.56  # Factors computed   : 0
% 0.18/0.56  # Resolvents computed: 44
% 0.18/0.56  # Tautologies deleted: 1
% 0.18/0.56  # Forward subsumed   : 6
% 0.18/0.56  # Backward subsumed  : 1
% 0.18/0.56  # -------- CPU Time ---------
% 0.18/0.56  # User time          : 0.201 s
% 0.18/0.56  # System time        : 0.021 s
% 0.18/0.56  # Total time         : 0.222 s
%------------------------------------------------------------------------------