TSTP Solution File: SET838-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 : Tue Jul 19 04:40:37 EDT 2022

% Result   : Unsatisfiable 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ( v_xa(X22) != X22
    | v_g(v_f(X22)) != X22 ),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    v_f(v_g(v_x)) = v_x,
    input ).

cnf(c1,plain,
    ( X17 != X16
    | v_g(X17) = v_g(X16) ),
    eq_axiom ).

cnf(c13,plain,
    v_g(v_f(v_g(v_x))) = v_g(v_x),
    inference(resolution,status(thm),[c1,cls_conjecture_0]) ).

cnf(c33,plain,
    v_xa(v_g(v_x)) != v_g(v_x),
    inference(resolution,status(thm),[c13,cls_conjecture_3]) ).

cnf(symmetry,axiom,
    ( X3 != X4
    | X4 = X3 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X7 != X9
    | X9 != X8
    | X7 = X8 ),
    eq_axiom ).

cnf(cls_conjecture_2,negated_conjecture,
    ( v_g(v_f(v_xa(X14))) = v_xa(X14)
    | v_g(v_f(X14)) != X14 ),
    input ).

cnf(c34,plain,
    v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)),
    inference(resolution,status(thm),[c13,cls_conjecture_2]) ).

cnf(c92,plain,
    ( X39 != v_g(v_f(v_xa(v_g(v_x))))
    | X39 = v_xa(v_g(v_x)) ),
    inference(resolution,status(thm),[c34,transitivity]) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( X6 = v_x
    | v_f(v_g(X6)) != X6 ),
    input ).

cnf(c0,plain,
    ( X13 != X12
    | v_f(X13) = v_f(X12) ),
    eq_axiom ).

cnf(c95,plain,
    v_f(v_g(v_f(v_xa(v_g(v_x))))) = v_f(v_xa(v_g(v_x))),
    inference(resolution,status(thm),[c34,c0]) ).

cnf(c347,plain,
    v_f(v_xa(v_g(v_x))) = v_x,
    inference(resolution,status(thm),[c95,cls_conjecture_1]) ).

cnf(c352,plain,
    v_x = v_f(v_xa(v_g(v_x))),
    inference(resolution,status(thm),[c347,symmetry]) ).

cnf(c362,plain,
    v_g(v_x) = v_g(v_f(v_xa(v_g(v_x)))),
    inference(resolution,status(thm),[c352,c1]) ).

cnf(c410,plain,
    v_g(v_x) = v_xa(v_g(v_x)),
    inference(resolution,status(thm),[c362,c92]) ).

cnf(c423,plain,
    v_xa(v_g(v_x)) = v_g(v_x),
    inference(resolution,status(thm),[c410,symmetry]) ).

cnf(c431,plain,
    $false,
    inference(resolution,status(thm),[c423,c33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 09:44:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.59/0.80  # Version:  1.3
% 0.59/0.80  # SZS status Unsatisfiable
% 0.59/0.80  # SZS output start CNFRefutation
% See solution above
% 0.59/0.80  
% 0.59/0.80  # Initial clauses    : 10
% 0.59/0.80  # Processed clauses  : 103
% 0.59/0.80  # Factors computed   : 0
% 0.59/0.80  # Resolvents computed: 429
% 0.59/0.80  # Tautologies deleted: 1
% 0.59/0.80  # Forward subsumed   : 78
% 0.59/0.80  # Backward subsumed  : 0
% 0.59/0.80  # -------- CPU Time ---------
% 0.59/0.80  # User time          : 0.441 s
% 0.59/0.80  # System time        : 0.023 s
% 0.59/0.80  # Total time         : 0.464 s
%------------------------------------------------------------------------------