TSTP Solution File: LCL321-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL321-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n009.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 13:53:47 EDT 2022

% Result   : Unsatisfiable 13.84s 14.02s
% Output   : Refutation 13.84s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(or(implies(p,q),implies(p,not(q)))),
    input ).

cnf(c4,plain,
    ( X17 != X16
    | ~ theorem(X17)
    | theorem(X16) ),
    eq_axiom ).

cnf(symmetry,axiom,
    ( X4 != X5
    | X5 = X4 ),
    eq_axiom ).

cnf(implies_definition,axiom,
    implies(X21,X22) = or(not(X21),X22),
    input ).

cnf(c13,plain,
    or(not(X44),X45) = implies(X44,X45),
    inference(resolution,status(thm),[implies_definition,symmetry]) ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c1,plain,
    ( X80 != X78
    | X81 != X79
    | or(X80,X81) = or(X78,X79) ),
    eq_axiom ).

cnf(c53,plain,
    ( X138 != X137
    | or(X138,X139) = or(X137,X139) ),
    inference(resolution,status(thm),[c1,reflexivity]) ).

cnf(c100,plain,
    or(or(not(X541),X540),X542) = or(implies(X541,X540),X542),
    inference(resolution,status(thm),[c53,c13]) ).

cnf(c657,plain,
    ( ~ theorem(or(or(not(X5678),X5676),X5677))
    | theorem(or(implies(X5678,X5676),X5677)) ),
    inference(resolution,status(thm),[c100,c4]) ).

cnf(rule_2,axiom,
    ( theorem(X23)
    | ~ theorem(implies(X24,X23))
    | ~ theorem(X24) ),
    input ).

cnf(rule_1,axiom,
    ( theorem(X3)
    | ~ axiom(X3) ),
    input ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X19,X18),or(X18,X19))),
    input ).

cnf(c10,plain,
    theorem(implies(or(X40,X39),or(X39,X40))),
    inference(resolution,status(thm),[axiom_1_4,rule_1]) ).

cnf(c23,plain,
    ( theorem(or(X55,X54))
    | ~ theorem(or(X54,X55)) ),
    inference(resolution,status(thm),[c10,rule_2]) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X9,or(X8,X9))),
    input ).

cnf(c7,plain,
    theorem(implies(X11,or(X12,X11))),
    inference(resolution,status(thm),[axiom_1_3,rule_1]) ).

cnf(c15,plain,
    ( theorem(or(X27,X26))
    | ~ theorem(X26) ),
    inference(resolution,status(thm),[rule_2,c7]) ).

cnf(c3,plain,
    ( X14 != X13
    | ~ axiom(X14)
    | axiom(X13) ),
    eq_axiom ).

cnf(c11,plain,
    ( ~ axiom(implies(X75,X76))
    | axiom(or(not(X75),X76)) ),
    inference(resolution,status(thm),[implies_definition,c3]) ).

cnf(c49,plain,
    axiom(or(not(X82),or(X83,X82))),
    inference(resolution,status(thm),[c11,axiom_1_3]) ).

cnf(c55,plain,
    theorem(or(not(X85),or(X86,X85))),
    inference(resolution,status(thm),[c49,rule_1]) ).

cnf(c58,plain,
    theorem(or(or(X88,X89),not(X89))),
    inference(resolution,status(thm),[c55,c23]) ).

cnf(c63,plain,
    theorem(or(X161,or(or(X162,X163),not(X163)))),
    inference(resolution,status(thm),[c58,c15]) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X30,or(X28,X29)),or(X28,or(X30,X29)))),
    input ).

cnf(c18,plain,
    theorem(implies(or(X102,or(X101,X100)),or(X101,or(X102,X100)))),
    inference(resolution,status(thm),[axiom_1_5,rule_1]) ).

cnf(c69,plain,
    ( theorem(or(X362,or(X360,X361)))
    | ~ theorem(or(X360,or(X362,X361))) ),
    inference(resolution,status(thm),[c18,rule_2]) ).

cnf(c318,plain,
    theorem(or(or(X617,X616),or(X615,not(X616)))),
    inference(resolution,status(thm),[c69,c63]) ).

cnf(c994,plain,
    theorem(or(or(X806,not(X805)),or(X807,X805))),
    inference(resolution,status(thm),[c318,c23]) ).

cnf(c12166,plain,
    theorem(or(implies(X6017,not(X6019)),or(X6018,X6019))),
    inference(resolution,status(thm),[c657,c994]) ).

cnf(c14363,plain,
    theorem(or(or(X6274,X6275),implies(X6276,not(X6275)))),
    inference(resolution,status(thm),[c12166,c23]) ).

cnf(c15702,plain,
    theorem(or(implies(X6560,X6562),implies(X6561,not(X6562)))),
    inference(resolution,status(thm),[c14363,c657]) ).

cnf(c18321,plain,
    $false,
    inference(resolution,status(thm),[c15702,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL321-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul  3 18:53:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 13.84/14.02  # Version:  1.3
% 13.84/14.02  # SZS status Unsatisfiable
% 13.84/14.02  # SZS output start CNFRefutation
% See solution above
% 13.84/14.02  
% 13.84/14.02  # Initial clauses    : 17
% 13.84/14.02  # Processed clauses  : 828
% 13.84/14.02  # Factors computed   : 0
% 13.84/14.02  # Resolvents computed: 18362
% 13.84/14.02  # Tautologies deleted: 4
% 13.84/14.02  # Forward subsumed   : 1736
% 13.84/14.02  # Backward subsumed  : 0
% 13.84/14.02  # -------- CPU Time ---------
% 13.84/14.02  # User time          : 13.649 s
% 13.84/14.02  # System time        : 0.029 s
% 13.84/14.02  # Total time         : 13.678 s
%------------------------------------------------------------------------------