TSTP Solution File: SET855-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET855-2 : 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 : Tue Jul 19 04:40:50 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
    v_n != c_Union(v_Y,tc_set(t_a)),
    input ).

cnf(cls_conjecture_3,negated_conjecture,
    c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
    input ).

cnf(cls_Set_Osubset__antisym_0,axiom,
    ( ~ c_lessequals(X11,X9,tc_set(X10))
    | ~ c_lessequals(X9,X11,tc_set(X10))
    | X9 = X11 ),
    input ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
    input ).

cnf(c6,plain,
    ( ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a)))
    | v_n = c_Union(v_Y,tc_set(t_a)) ),
    inference(resolution,status(thm),[cls_conjecture_2,cls_Set_Osubset__antisym_0]) ).

cnf(c12,plain,
    v_n = c_Union(v_Y,tc_set(t_a)),
    inference(resolution,status(thm),[c6,cls_conjecture_3]) ).

cnf(c15,plain,
    $false,
    inference(resolution,status(thm),[c12,cls_conjecture_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET855-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % 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 : Sun Jul 10 10:45:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.53  # Version:  1.3
% 0.18/0.53  # SZS status Unsatisfiable
% 0.18/0.53  # SZS output start CNFRefutation
% See solution above
% 0.18/0.53  
% 0.18/0.53  # Initial clauses    : 10
% 0.18/0.53  # Processed clauses  : 14
% 0.18/0.53  # Factors computed   : 0
% 0.18/0.53  # Resolvents computed: 17
% 0.18/0.53  # Tautologies deleted: 1
% 0.18/0.53  # Forward subsumed   : 3
% 0.18/0.53  # Backward subsumed  : 1
% 0.18/0.53  # -------- CPU Time ---------
% 0.18/0.53  # User time          : 0.179 s
% 0.18/0.53  # System time        : 0.017 s
% 0.18/0.53  # Total time         : 0.196 s
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