%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV366+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 : Wed May 31 12:41:30 EDT 2023

% Result   : Theorem 0.19s 0.44s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   53 (;  46   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f55,axiom,
    ! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f63,conjecture,
    ! [U] :
      ( ! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y))
     => ! [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) = i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f64,negated_conjecture,
    ~ ! [U] :
        ( ! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y))
       => ! [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) = i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) ),
    inference(negated_conjecture,[status(cth)],[f63]) ).

fof(f193,plain,
    ! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X0,X1,X4)),X2),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f229,plain,
    ? [U] :
      ( ! [V,W,X,Y] : i(triple(V,U,X)) = i(triple(W,U,Y))
      & ? [Z,X1,X2,X3,X4,X5] : i(triple(Z,insert_slb(U,pair(X4,X5)),X2)) != i(triple(X1,insert_slb(U,pair(X4,X5)),X3)) ),
    inference(pre_NNF_transformation,[status(esa)],[f64]) ).

fof(f230,plain,
    ( ! [V,W,X,Y] : i(triple(V,sk0_4,X)) = i(triple(W,sk0_4,Y))
    & i(triple(sk0_5,insert_slb(sk0_4,pair(sk0_9,sk0_10)),sk0_7)) != i(triple(sk0_6,insert_slb(sk0_4,pair(sk0_9,sk0_10)),sk0_8)) ),
    inference(skolemization,[status(esa)],[f229]) ).

fof(f231,plain,
    ! [X0,X1,X2,X3] : i(triple(X0,sk0_4,X1)) = i(triple(X2,sk0_4,X3)),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f232,plain,
    i(triple(sk0_5,insert_slb(sk0_4,pair(sk0_9,sk0_10)),sk0_7)) != i(triple(sk0_6,insert_slb(sk0_4,pair(sk0_9,sk0_10)),sk0_8)),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f952,plain,
    i(triple(sk0_5,insert_slb(sk0_4,pair(sk0_9,sk0_10)),sk0_7)) != insert_pq(i(triple(sk0_6,sk0_4,sk0_8)),sk0_9),
    inference(backward_demodulation,[status(thm)],[f193,f232]) ).

fof(f953,plain,
    insert_pq(i(triple(sk0_5,sk0_4,sk0_7)),sk0_9) != insert_pq(i(triple(sk0_6,sk0_4,sk0_8)),sk0_9),
    inference(forward_demodulation,[status(thm)],[f193,f952]) ).

fof(f976,plain,
    ! [X0,X1] : insert_pq(i(triple(sk0_5,sk0_4,sk0_7)),sk0_9) != insert_pq(i(triple(X0,sk0_4,X1)),sk0_9),
    inference(paramodulation,[status(thm)],[f231,f953]) ).

fof(f978,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f976]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV366+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n011.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  : 300
% 0.13/0.33  % DateTime : Tue May 30 11:38:57 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.19/0.44  % Refutation found
% 0.19/0.44  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.44  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.44  % Elapsed time: 0.095276 seconds
% 0.19/0.44  % CPU time: 0.050462 seconds
% 0.19/0.44  % Memory used: 6.166 MB
%------------------------------------------------------------------------------