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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWW962+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:08:35 PM UTC 2026

% Result   : Theorem 0.09s 0.40s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f78,axiom,
    name_skB != name_skS,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f83,axiom,
    ! [VAR_X_17,VAR_Y_18,VAR_Z_0X30] : tuple_assoc_pair(VAR_X_17,tuple_assoc_pair(VAR_Y_18,VAR_Z_0X30)) = tuple_assoc_pair(tuple_assoc_pair(VAR_X_17,VAR_Y_18),VAR_Z_0X30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f86,axiom,
    ! [VAR_X0X30_11,VAR_X1_12] : constr_assoc_pair_2_get_1(tuple_assoc_pair(VAR_X0X30_11,VAR_X1_12)) = VAR_X1_12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f87,axiom,
    ! [VAR_X0X30_9,VAR_X1_10X30] : constr_assoc_pair_2_get_0x30(tuple_assoc_pair(VAR_X0X30_9,VAR_X1_10X30)) = VAR_X0X30_9,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f256,plain,
    name_skB != name_skS,
    inference(cnf_transformation,[status(thm)],[f78]) ).

fof(f261,plain,
    ! [X0,X1,X2] : tuple_assoc_pair(X0,tuple_assoc_pair(X1,X2)) = tuple_assoc_pair(tuple_assoc_pair(X0,X1),X2),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f264,plain,
    ! [X0,X1] : constr_assoc_pair_2_get_1(tuple_assoc_pair(X0,X1)) = X1,
    inference(cnf_transformation,[status(thm)],[f86]) ).

fof(f265,plain,
    ! [X0,X1] : constr_assoc_pair_2_get_0x30(tuple_assoc_pair(X0,X1)) = X0,
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f487,plain,
    ! [X0,X1,X2] : constr_assoc_pair_2_get_0x30(tuple_assoc_pair(X0,tuple_assoc_pair(X1,X2))) = tuple_assoc_pair(X0,X1),
    inference(paramodulation,[status(thm)],[f261,f265]) ).

fof(f493,plain,
    ! [X0,X1] : X0 = tuple_assoc_pair(X0,X1),
    inference(forward_demodulation,[status(thm)],[f265,f487]) ).

fof(f499,plain,
    ! [X0,X1] : constr_assoc_pair_2_get_1(X0) = X1,
    inference(backward_demodulation,[status(thm)],[f493,f264]) ).

fof(f503,plain,
    ! [X0,X1] : X0 = X1,
    inference(paramodulation,[status(thm)],[f499,f499]) ).

fof(f505,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f256,f503]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW962+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n026.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 10:23:21 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.09/0.40  % Refutation found
% 0.09/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43  % Elapsed time: 0.054147 seconds
% 0.09/0.43  % CPU time: 0.148317 seconds
% 0.09/0.43  % Total memory used: 64.364 MB
% 0.09/0.43  % Net memory used: 64.310 MB
%------------------------------------------------------------------------------