%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP150-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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  : 300s
% DateTime : Thu May  9 17:23:18 EDT 2024

% Result   : Unsatisfiable 5.74s 5.94s
% Output   : Refutation 5.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  14 unt;   0 nHn;   7 RR)
%            Number of literals    :   28 (  27 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ax_lub2a,negated_conjecture,
    least_upper_bound(a,least_upper_bound(a,b)) != least_upper_bound(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_lub2a) ).

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

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X22,X21) = least_upper_bound(X21,X22),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

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

cnf(c39,plain,
    ( X254 != least_upper_bound(X253,X255)
    | X254 = least_upper_bound(X255,X253) ),
    inference(resolution,[status(thm)],[transitivity,symmetry_of_lub]) ).

cnf(associativity_of_lub,axiom,
    least_upper_bound(X38,least_upper_bound(X37,X39)) = least_upper_bound(least_upper_bound(X38,X37),X39),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).

cnf(c30,plain,
    ( X184 != least_upper_bound(X186,least_upper_bound(X185,X187))
    | X184 = least_upper_bound(least_upper_bound(X186,X185),X187) ),
    inference(resolution,[status(thm)],[transitivity,associativity_of_lub]) ).

cnf(idempotence_of_lub,axiom,
    least_upper_bound(X3,X3) = X3,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',idempotence_of_lub) ).

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

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(c3,axiom,
    ( X118 != X120
    | X117 != X119
    | least_upper_bound(X118,X117) = least_upper_bound(X120,X119) ),
    theory(equality) ).

cnf(c302,plain,
    ( X1099 != X1097
    | least_upper_bound(X1099,X1098) = least_upper_bound(X1097,X1098) ),
    inference(resolution,[status(thm)],[c3,reflexivity]) ).

cnf(c10961,plain,
    least_upper_bound(X1130,X1131) = least_upper_bound(least_upper_bound(X1130,X1130),X1131),
    inference(resolution,[status(thm)],[c302,c7]) ).

cnf(c11820,plain,
    least_upper_bound(X1194,X1195) = least_upper_bound(X1195,least_upper_bound(X1194,X1194)),
    inference(resolution,[status(thm)],[c10961,c39]) ).

cnf(c13324,plain,
    least_upper_bound(X1243,X1244) = least_upper_bound(least_upper_bound(X1244,X1243),X1243),
    inference(resolution,[status(thm)],[c11820,c30]) ).

cnf(c14003,plain,
    least_upper_bound(X1305,X1304) = least_upper_bound(X1305,least_upper_bound(X1304,X1305)),
    inference(resolution,[status(thm)],[c13324,c39]) ).

cnf(c14840,plain,
    least_upper_bound(X1370,X1369) = least_upper_bound(least_upper_bound(X1370,X1369),X1370),
    inference(resolution,[status(thm)],[c14003,c30]) ).

cnf(c15958,plain,
    least_upper_bound(X1416,X1417) = least_upper_bound(X1416,least_upper_bound(X1416,X1417)),
    inference(resolution,[status(thm)],[c14840,c39]) ).

cnf(c16829,plain,
    least_upper_bound(X1462,least_upper_bound(X1462,X1461)) = least_upper_bound(X1462,X1461),
    inference(resolution,[status(thm)],[c15958,symmetry]) ).

cnf(c18329,plain,
    $false,
    inference(resolution,[status(thm)],[c16829,prove_ax_lub2a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GRP150-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  9 04:39:23 EDT 2024
% 0.14/0.37  % CPUTime  : 
% 5.74/5.94  % Version:  1.5
% 5.74/5.94  % SZS status Unsatisfiable
% 5.74/5.94  % SZS output start CNFRefutation
% See solution above
% 5.74/5.94  
% 5.74/5.94  % Initial clauses    : 23
% 5.74/5.94  % Processed clauses  : 381
% 5.74/5.94  % Factors computed   : 4
% 5.74/5.94  % Resolvents computed: 18338
% 5.74/5.94  % Tautologies deleted: 2
% 5.74/5.94  % Forward subsumed   : 506
% 5.74/5.94  % Backward subsumed  : 6
% 5.74/5.94  % -------- CPU Time ---------
% 5.74/5.94  % User time          : 5.524 s
% 5.74/5.94  % System time        : 0.046 s
% 5.74/5.94  % Total time         : 5.570 s
%------------------------------------------------------------------------------