TSTP Solution File: LCL355-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL355-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 : Sun Jul 17 13:53:57 EDT 2022

% Result   : Unsatisfiable 0.43s 0.62s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cn_04,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u))),
    input ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12)))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X5,X6))
    | ~ is_a_theorem(X5)
    | is_a_theorem(X6) ),
    input ).

cnf(c4,plain,
    ( ~ is_a_theorem(implies(X27,X26))
    | is_a_theorem(implies(implies(X26,X28),implies(X27,X28))) ),
    inference(resolution,status(thm),[cn_1,condensed_detachment]) ).

cnf(c16,plain,
    is_a_theorem(implies(implies(implies(implies(X111,X113),implies(X112,X113)),X110),implies(implies(X112,X111),X110))),
    inference(resolution,status(thm),[c4,cn_1]) ).

cnf(c117,plain,
    $false,
    inference(resolution,status(thm),[c16,prove_cn_04]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL355-1 : TPTP v8.1.0. Released v2.3.0.
% 0.00/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n023.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 : Sat Jul  2 14:57:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/0.62  # Version:  1.3
% 0.43/0.62  # SZS status Unsatisfiable
% 0.43/0.62  # SZS output start CNFRefutation
% See solution above
% 0.43/0.62  
% 0.43/0.62  # Initial clauses    : 5
% 0.43/0.62  # Processed clauses  : 32
% 0.43/0.62  # Factors computed   : 0
% 0.43/0.62  # Resolvents computed: 120
% 0.43/0.62  # Tautologies deleted: 1
% 0.43/0.62  # Forward subsumed   : 15
% 0.43/0.62  # Backward subsumed  : 0
% 0.43/0.62  # -------- CPU Time ---------
% 0.43/0.62  # User time          : 0.253 s
% 0.43/0.62  # System time        : 0.022 s
% 0.43/0.62  # Total time         : 0.275 s
%------------------------------------------------------------------------------