TSTP Solution File: LCL117-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL117-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 13:52:12 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_qyf,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(equivalent(X2,X3))
    | ~ is_a_theorem(X2)
    | is_a_theorem(X3) ),
    input ).

cnf(yqm,axiom,
    is_a_theorem(equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X5),equivalent(X6,X4)))),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(equivalent(X8,X9))
    | is_a_theorem(equivalent(equivalent(X7,X9),equivalent(X7,X8))) ),
    inference(resolution,status(thm),[yqm,condensed_detachment]) ).

cnf(c1,plain,
    is_a_theorem(equivalent(equivalent(X10,equivalent(equivalent(X13,X11),equivalent(X13,X12))),equivalent(X10,equivalent(X12,X11)))),
    inference(resolution,status(thm),[c0,yqm]) ).

cnf(c3,plain,
    ( ~ is_a_theorem(equivalent(X20,equivalent(equivalent(X21,X22),equivalent(X21,X19))))
    | is_a_theorem(equivalent(X20,equivalent(X19,X22))) ),
    inference(resolution,status(thm),[c1,condensed_detachment]) ).

cnf(c8,plain,
    is_a_theorem(equivalent(equivalent(X23,X24),equivalent(X23,X24))),
    inference(resolution,status(thm),[c3,yqm]) ).

cnf(c10,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X30,X32),equivalent(X30,X31)),equivalent(X31,X32))),
    inference(resolution,status(thm),[c8,c3]) ).

cnf(c13,plain,
    $false,
    inference(resolution,status(thm),[c10,prove_qyf]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : LCL117-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul  4 23:35:57 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.51  # Version:  1.3
% 0.20/0.51  # SZS status Unsatisfiable
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  
% 0.20/0.51  # Initial clauses    : 3
% 0.20/0.51  # Processed clauses  : 10
% 0.20/0.51  # Factors computed   : 0
% 0.20/0.51  # Resolvents computed: 19
% 0.20/0.51  # Tautologies deleted: 1
% 0.20/0.51  # Forward subsumed   : 1
% 0.20/0.51  # Backward subsumed  : 0
% 0.20/0.51  # -------- CPU Time ---------
% 0.20/0.51  # User time          : 0.144 s
% 0.20/0.51  # System time        : 0.013 s
% 0.20/0.51  # Total time         : 0.157 s
%------------------------------------------------------------------------------