TSTP Solution File: GRP188-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP188-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 : Sat Jul 16 11:22:27 EDT 2022

% Result   : Unsatisfiable 4.70s 4.88s
% Output   : Refutation 4.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p38a,negated_conjecture,
    least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b),
    input ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X21,X22) = least_upper_bound(X22,X21),
    input ).

cnf(transitivity,axiom,
    ( X47 != X49
    | X49 != X48
    | X47 = X48 ),
    eq_axiom ).

cnf(c32,plain,
    ( X216 != least_upper_bound(X217,X215)
    | X216 = least_upper_bound(X215,X217) ),
    inference(resolution,status(thm),[transitivity,symmetry_of_lub]) ).

cnf(symmetry,axiom,
    ( X6 != X7
    | X7 = X6 ),
    eq_axiom ).

cnf(associativity_of_lub,axiom,
    least_upper_bound(X37,least_upper_bound(X39,X38)) = least_upper_bound(least_upper_bound(X37,X39),X38),
    input ).

cnf(c25,plain,
    ( X174 != least_upper_bound(X173,least_upper_bound(X172,X175))
    | X174 = least_upper_bound(least_upper_bound(X173,X172),X175) ),
    inference(resolution,status(thm),[transitivity,associativity_of_lub]) ).

cnf(idempotence_of_lub,axiom,
    least_upper_bound(X3,X3) = X3,
    input ).

cnf(c7,plain,
    X11 = least_upper_bound(X11,X11),
    inference(resolution,status(thm),[symmetry,idempotence_of_lub]) ).

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

cnf(c3,plain,
    ( X120 != X118
    | X119 != X117
    | least_upper_bound(X120,X119) = least_upper_bound(X118,X117) ),
    eq_axiom ).

cnf(c293,plain,
    ( X1082 != X1080
    | least_upper_bound(X1082,X1081) = least_upper_bound(X1080,X1081) ),
    inference(resolution,status(thm),[c3,reflexivity]) ).

cnf(c9839,plain,
    least_upper_bound(X1108,X1109) = least_upper_bound(least_upper_bound(X1108,X1108),X1109),
    inference(resolution,status(thm),[c293,c7]) ).

cnf(c10720,plain,
    least_upper_bound(X1159,X1158) = least_upper_bound(X1158,least_upper_bound(X1159,X1159)),
    inference(resolution,status(thm),[c9839,c32]) ).

cnf(c11850,plain,
    least_upper_bound(X1209,X1210) = least_upper_bound(least_upper_bound(X1210,X1209),X1209),
    inference(resolution,status(thm),[c10720,c25]) ).

cnf(c13315,plain,
    least_upper_bound(X1256,X1255) = least_upper_bound(X1256,least_upper_bound(X1255,X1256)),
    inference(resolution,status(thm),[c11850,c32]) ).

cnf(c13908,plain,
    least_upper_bound(X1317,least_upper_bound(X1318,X1317)) = least_upper_bound(X1317,X1318),
    inference(resolution,status(thm),[c13315,symmetry]) ).

cnf(c14760,plain,
    least_upper_bound(X1376,least_upper_bound(X1377,X1376)) = least_upper_bound(X1377,X1376),
    inference(resolution,status(thm),[c13908,c32]) ).

cnf(c15434,plain,
    $false,
    inference(resolution,status(thm),[c14760,prove_p38a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP188-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 05:31:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 4.70/4.88  # Version:  1.3
% 4.70/4.88  # SZS status Unsatisfiable
% 4.70/4.88  # SZS output start CNFRefutation
% See solution above
% 4.70/4.88  
% 4.70/4.88  # Initial clauses    : 23
% 4.70/4.88  # Processed clauses  : 365
% 4.70/4.88  # Factors computed   : 0
% 4.70/4.88  # Resolvents computed: 15544
% 4.70/4.88  # Tautologies deleted: 1
% 4.70/4.88  # Forward subsumed   : 474
% 4.70/4.88  # Backward subsumed  : 6
% 4.70/4.88  # -------- CPU Time ---------
% 4.70/4.88  # User time          : 4.506 s
% 4.70/4.88  # System time        : 0.038 s
% 4.70/4.88  # Total time         : 4.544 s
%------------------------------------------------------------------------------