TSTP Solution File: LCL104-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL104-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 7.26s 7.47s
% Output   : Refutation 7.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p_1,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    input ).

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

cnf(q_3,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X4),X6)),X6)),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X9,X7),equivalent(equivalent(X7,X9),X8)))
    | is_a_theorem(X8) ),
    inference(resolution,status(thm),[q_3,condensed_detachment]) ).

cnf(p_4,axiom,
    is_a_theorem(equivalent(X10,equivalent(equivalent(equivalent(equivalent(X11,X13),equivalent(X11,X12)),equivalent(X13,X12)),X10))),
    input ).

cnf(c1,plain,
    is_a_theorem(equivalent(equivalent(X15,X16),equivalent(equivalent(X14,X15),equivalent(X14,X16)))),
    inference(resolution,status(thm),[p_4,c0]) ).

cnf(c4,plain,
    ( ~ is_a_theorem(equivalent(X20,X19))
    | is_a_theorem(equivalent(equivalent(X21,X20),equivalent(X21,X19))) ),
    inference(resolution,status(thm),[c1,condensed_detachment]) ).

cnf(c6,plain,
    is_a_theorem(equivalent(equivalent(X31,equivalent(X30,X28)),equivalent(X31,equivalent(equivalent(X29,X30),equivalent(X29,X28))))),
    inference(resolution,status(thm),[c4,c1]) ).

cnf(c9,plain,
    is_a_theorem(equivalent(equivalent(X34,equivalent(equivalent(X35,X32),equivalent(equivalent(X32,X35),X33))),equivalent(X34,X33))),
    inference(resolution,status(thm),[c4,q_3]) ).

cnf(c19,plain,
    ( ~ is_a_theorem(equivalent(X58,equivalent(equivalent(X57,X55),equivalent(equivalent(X55,X57),X56))))
    | is_a_theorem(equivalent(X58,X56)) ),
    inference(resolution,status(thm),[c9,condensed_detachment]) ).

cnf(c36,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X60,X59),equivalent(X60,X61)),equivalent(X59,X61))),
    inference(resolution,status(thm),[c19,c6]) ).

cnf(c44,plain,
    is_a_theorem(equivalent(equivalent(X129,equivalent(equivalent(X127,X130),equivalent(X127,X128))),equivalent(X129,equivalent(X130,X128)))),
    inference(resolution,status(thm),[c36,c4]) ).

cnf(c98,plain,
    ( ~ is_a_theorem(equivalent(X239,equivalent(equivalent(X238,X240),equivalent(X238,X237))))
    | is_a_theorem(equivalent(X239,equivalent(X240,X237))) ),
    inference(resolution,status(thm),[c44,condensed_detachment]) ).

cnf(c45,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X65,X67),equivalent(X65,X66)))
    | is_a_theorem(equivalent(X67,X66)) ),
    inference(resolution,status(thm),[c36,condensed_detachment]) ).

cnf(c2,plain,
    ( ~ is_a_theorem(X25)
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X24,X26),equivalent(X24,X27)),equivalent(X26,X27)),X25)) ),
    inference(resolution,status(thm),[p_4,condensed_detachment]) ).

cnf(c11,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X91,X92),equivalent(X91,X94)),equivalent(X92,X94)),equivalent(X97,equivalent(equivalent(equivalent(equivalent(X93,X96),equivalent(X93,X95)),equivalent(X96,X95)),X97)))),
    inference(resolution,status(thm),[c2,p_4]) ).

cnf(c65,plain,
    is_a_theorem(equivalent(equivalent(X695,X697),equivalent(equivalent(equivalent(equivalent(X696,X699),equivalent(X696,X700)),equivalent(X699,X700)),equivalent(equivalent(X698,X695),equivalent(X698,X697))))),
    inference(resolution,status(thm),[c11,c45]) ).

cnf(c767,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X4919,X4918),X4921),equivalent(equivalent(X4920,X4918),equivalent(equivalent(X4919,X4920),X4921)))),
    inference(resolution,status(thm),[c65,c98]) ).

cnf(c9698,plain,
    $false,
    inference(resolution,status(thm),[c767,prove_p_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL104-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul  4 03:52:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 7.26/7.47  # Version:  1.3
% 7.26/7.47  # SZS status Unsatisfiable
% 7.26/7.47  # SZS output start CNFRefutation
% See solution above
% 7.26/7.47  
% 7.26/7.47  # Initial clauses    : 4
% 7.26/7.47  # Processed clauses  : 299
% 7.26/7.47  # Factors computed   : 0
% 7.26/7.47  # Resolvents computed: 9711
% 7.26/7.47  # Tautologies deleted: 1
% 7.26/7.47  # Forward subsumed   : 1287
% 7.26/7.47  # Backward subsumed  : 0
% 7.26/7.47  # -------- CPU Time ---------
% 7.26/7.47  # User time          : 7.068 s
% 7.26/7.47  # System time        : 0.039 s
% 7.26/7.47  # Total time         : 7.107 s
%------------------------------------------------------------------------------