TSTP Solution File: LCL106-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 13:52:04 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(prove_q_2,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
    input ).

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

cnf(q_4,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(X7,X9),equivalent(X7,X8)),equivalent(X9,X8))),
    input ).

cnf(c1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X14,X15),equivalent(X14,X13)))
    | is_a_theorem(equivalent(X15,X13)) ),
    inference(resolution,status(thm),[q_4,condensed_detachment]) ).

cnf(q_1,axiom,
    is_a_theorem(equivalent(X4,equivalent(equivalent(X6,X5),equivalent(equivalent(X5,X6),X4)))),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(X11)
    | is_a_theorem(equivalent(equivalent(X12,X10),equivalent(equivalent(X10,X12),X11))) ),
    inference(resolution,status(thm),[q_1,condensed_detachment]) ).

cnf(c2,plain,
    is_a_theorem(equivalent(equivalent(X20,X23),equivalent(equivalent(X23,X20),equivalent(X19,equivalent(equivalent(X21,X22),equivalent(equivalent(X22,X21),X19)))))),
    inference(resolution,status(thm),[c0,q_1]) ).

cnf(c5,plain,
    ( ~ is_a_theorem(equivalent(X30,X29))
    | is_a_theorem(equivalent(equivalent(X29,X30),equivalent(X31,equivalent(equivalent(X33,X32),equivalent(equivalent(X32,X33),X31))))) ),
    inference(resolution,status(thm),[c2,condensed_detachment]) ).

cnf(c11,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X88,X86),equivalent(equivalent(X85,X88),equivalent(X85,X86))),equivalent(X89,equivalent(equivalent(X87,X84),equivalent(equivalent(X84,X87),X89))))),
    inference(resolution,status(thm),[c5,q_4]) ).

cnf(c62,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X90,X94),equivalent(X90,X92)),equivalent(equivalent(X91,X93),equivalent(equivalent(X93,X91),equivalent(X94,X92))))),
    inference(resolution,status(thm),[c11,c1]) ).

cnf(c69,plain,
    is_a_theorem(equivalent(equivalent(X97,X95),equivalent(equivalent(X96,X97),equivalent(X96,X95)))),
    inference(resolution,status(thm),[c62,c1]) ).

cnf(c75,plain,
    $false,
    inference(resolution,status(thm),[c69,prove_q_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n015.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 06:37:31 EDT 2022
% 0.13/0.34  % 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    : 4
% 0.38/0.56  # Processed clauses  : 20
% 0.38/0.56  # Factors computed   : 0
% 0.38/0.56  # Resolvents computed: 79
% 0.38/0.56  # Tautologies deleted: 0
% 0.38/0.56  # Forward subsumed   : 2
% 0.38/0.56  # Backward subsumed  : 0
% 0.38/0.56  # -------- CPU Time ---------
% 0.38/0.56  # User time          : 0.201 s
% 0.38/0.56  # System time        : 0.014 s
% 0.38/0.56  # Total time         : 0.215 s
%------------------------------------------------------------------------------