%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 : Tue Apr 30 20:40:39 EDT 2024

% Result   : Theorem 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [A,B] : union(unordered_pair(A,B)) = set_union2(A,B),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,conjecture,
    ! [A,B] : union(unordered_pair(singleton(A),singleton(B))) = unordered_pair(A,B),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ ! [A,B] : union(unordered_pair(singleton(A),singleton(B))) = unordered_pair(A,B),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,axiom,
    ! [A,B] : unordered_pair(A,B) = set_union2(singleton(A),singleton(B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,plain,
    ! [X0,X1] : union(unordered_pair(X0,X1)) = set_union2(X0,X1),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f27,plain,
    ? [A,B] : union(unordered_pair(singleton(A),singleton(B))) != unordered_pair(A,B),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f28,plain,
    union(unordered_pair(singleton(sk0_2),singleton(sk0_3))) != unordered_pair(sk0_2,sk0_3),
    inference(skolemization,[status(esa)],[f27]) ).

fof(f29,plain,
    union(unordered_pair(singleton(sk0_2),singleton(sk0_3))) != unordered_pair(sk0_2,sk0_3),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f30,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = set_union2(singleton(X0),singleton(X1)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f31,plain,
    set_union2(singleton(sk0_2),singleton(sk0_3)) != unordered_pair(sk0_2,sk0_3),
    inference(backward_demodulation,[status(thm)],[f22,f29]) ).

fof(f36,plain,
    unordered_pair(sk0_2,sk0_3) != unordered_pair(sk0_2,sk0_3),
    inference(backward_demodulation,[status(thm)],[f30,f31]) ).

fof(f37,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET891+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 22:00:29 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  % Drodi V3.6.0
% 0.19/0.35  % Refutation found
% 0.19/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.37  % Elapsed time: 0.027894 seconds
% 0.19/0.37  % CPU time: 0.030510 seconds
% 0.19/0.37  % Total memory used: 5.820 MB
% 0.19/0.37  % Net memory used: 5.718 MB
%------------------------------------------------------------------------------