TSTP Solution File: SET864-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 04:40:56 EDT 2022

% Result   : Unsatisfiable 0.38s 0.56s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    input ).

cnf(cls_conjecture_5,negated_conjecture,
    ( X21 != v_x(X21)
    | ~ c_in(X21,v_S,tc_set(t_a)) ),
    input ).

cnf(c11,plain,
    c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a)),
    inference(resolution,status(thm),[cls_conjecture_5,cls_conjecture_2]) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( c_in(v_x(X31),v_S,tc_set(t_a))
    | ~ c_in(X31,v_S,tc_set(t_a)) ),
    input ).

cnf(c14,plain,
    c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)),
    inference(resolution,status(thm),[cls_conjecture_3,cls_conjecture_2]) ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_lessequals(X41,v_x(X41),tc_set(t_a))
    | ~ c_in(X41,v_S,tc_set(t_a)) ),
    input ).

cnf(c23,plain,
    c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)),
    inference(resolution,status(thm),[cls_conjecture_4,cls_conjecture_2]) ).

cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
    ( ~ c_in(X12,X11,tc_set(X14))
    | ~ c_in(X13,c_Zorn_Omaxchain(X11,X14),tc_set(tc_set(X14)))
    | ~ c_lessequals(c_Union(X13,X14),X12,tc_set(X14))
    | c_Union(X13,X14) = X12 ),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    input ).

cnf(c10,plain,
    ( ~ c_in(X54,v_S,tc_set(t_a))
    | ~ c_lessequals(c_Union(v_c,t_a),X54,tc_set(t_a))
    | c_Union(v_c,t_a) = X54 ),
    inference(resolution,status(thm),[cls_conjecture_0,cls_Zorn_Omaxchain__Zorn_0]) ).

cnf(c33,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
    inference(resolution,status(thm),[c10,c23]) ).

cnf(c75,plain,
    c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)),
    inference(resolution,status(thm),[c33,c14]) ).

cnf(c83,plain,
    $false,
    inference(resolution,status(thm),[c75,c11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n028.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 : Mon Jul 11 02:32:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.38/0.56  # Version:  1.3
% 0.38/0.56  # SZS status Unsatisfiable
% 0.38/0.56  # SZS output start CNFRefutation
% See solution above
% 0.38/0.56  
% 0.38/0.56  # Initial clauses    : 15
% 0.38/0.56  # Processed clauses  : 55
% 0.38/0.56  # Factors computed   : 0
% 0.38/0.56  # Resolvents computed: 82
% 0.38/0.56  # Tautologies deleted: 1
% 0.38/0.56  # Forward subsumed   : 11
% 0.38/0.56  # Backward subsumed  : 1
% 0.38/0.56  # -------- CPU Time ---------
% 0.38/0.56  # User time          : 0.206 s
% 0.38/0.56  # System time        : 0.012 s
% 0.38/0.56  # Total time         : 0.218 s
%------------------------------------------------------------------------------