TSTP Solution File: LCL008-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 13:51:26 EDT 2022

% Result   : Unsatisfiable 0.38s 0.57s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ec_4,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
    input ).

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

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

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

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

cnf(c3,plain,
    ( ~ is_a_theorem(equivalent(X20,equivalent(equivalent(X21,X22),equivalent(X19,X21))))
    | is_a_theorem(equivalent(equivalent(X19,X22),X20)) ),
    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,yql]) ).

cnf(c9,plain,
    is_a_theorem(equivalent(equivalent(X27,equivalent(X29,X28)),equivalent(equivalent(X29,X28),X27))),
    inference(resolution,status(thm),[c8,c0]) ).

cnf(c13,plain,
    is_a_theorem(equivalent(equivalent(X39,X40),equivalent(equivalent(X39,X41),equivalent(X41,X40)))),
    inference(resolution,status(thm),[c9,c3]) ).

cnf(c19,plain,
    is_a_theorem(equivalent(equivalent(X42,X42),equivalent(X43,X43))),
    inference(resolution,status(thm),[c13,c3]) ).

cnf(c23,plain,
    ( ~ is_a_theorem(equivalent(X46,X46))
    | is_a_theorem(equivalent(X47,X47)) ),
    inference(resolution,status(thm),[c19,condensed_detachment]) ).

cnf(c24,plain,
    is_a_theorem(equivalent(X48,X48)),
    inference(resolution,status(thm),[c23,c9]) ).

cnf(c29,plain,
    is_a_theorem(equivalent(equivalent(X57,X58),equivalent(X58,X57))),
    inference(resolution,status(thm),[c24,c0]) ).

cnf(c41,plain,
    $false,
    inference(resolution,status(thm),[c29,prove_ec_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 10:19:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.38/0.57  # Version:  1.3
% 0.38/0.57  # SZS status Unsatisfiable
% 0.38/0.57  # SZS output start CNFRefutation
% See solution above
% 0.38/0.57  
% 0.38/0.57  # Initial clauses    : 3
% 0.38/0.57  # Processed clauses  : 16
% 0.38/0.57  # Factors computed   : 0
% 0.38/0.57  # Resolvents computed: 43
% 0.38/0.57  # Tautologies deleted: 2
% 0.38/0.57  # Forward subsumed   : 4
% 0.38/0.57  # Backward subsumed  : 3
% 0.38/0.57  # -------- CPU Time ---------
% 0.38/0.57  # User time          : 0.206 s
% 0.38/0.57  # System time        : 0.017 s
% 0.38/0.57  # Total time         : 0.223 s
%------------------------------------------------------------------------------