TSTP Solution File: LCL672+1.010 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL672+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 12:20:04 EDT 2023

% Result   : Theorem 8.37s 1.49s
% Output   : CNFRefutation 8.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : LCL672+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 09:59:28 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.43  % Drodi V3.5.1
% 8.37/1.49  % Refutation found
% 8.37/1.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 8.37/1.49  % SZS output start CNFRefutation for theBenchmark
% 8.37/1.49  fof(f2,axiom,(
% 8.37/1.49    (! [X,Y,Z] :( ( r1(X,Y)& r1(Y,Z) )=> r1(X,Z) ) )),
% 8.37/1.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.37/1.49  fof(f3,conjecture,(
% 8.37/1.49    ~ (? [X] :~ ( ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )),
% 8.50/1.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.50/1.50  fof(f4,negated_conjecture,(
% 8.50/1.50    ~(~ (? [X] :~ ( ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))& p1(X) ) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )) ))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p2(X) ))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| $false ) )))& ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))& p1(Y) ) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )) )))& ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) ))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| ( ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ))& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| $false ) )))& ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) ))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) ))),
% 8.50/1.50    inference(negated_conjecture,[status(cth)],[f3])).
% 8.50/1.50  fof(f6,plain,(
% 8.50/1.50    ![X,Y,Z]: ((~r1(X,Y)|~r1(Y,Z))|r1(X,Z))),
% 8.50/1.50    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 8.50/1.50  fof(f7,plain,(
% 8.50/1.50    ![X,Z]: ((![Y]: (~r1(X,Y)|~r1(Y,Z)))|r1(X,Z))),
% 8.50/1.50    inference(miniscoping,[status(esa)],[f6])).
% 8.50/1.50  fof(f8,plain,(
% 8.50/1.50    ![X0,X1,X2]: (~r1(X0,X1)|~r1(X1,X2)|r1(X0,X2))),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f7])).
% 8.50/1.50  fof(f9,plain,(
% 8.50/1.50    ?[X]: ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&p1(X)))))|~p1(X)))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))|(![X]: (~r1(Y,X)|p1(X)))))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y)))))))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&$true)))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: 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(r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&p1(X)))))|~p1(X)))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))|(![X]: (~r1(Y,X)|p1(X)))))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y)))))))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&$true)))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&p1(Y)))))|~p1(Y)))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X)))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p1(Y)))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&$true)))))|(![Y]: (~r1(X,Y)|p1(Y)))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: (((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&(?[Y]: (((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))),
% 8.50/1.50    inference(pre_NNF_transformation,[status(esa)],[f4])).
% 8.50/1.50  fof(f10,plain,(
% 8.50/1.50    ?[X]: ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&p1(X)))))|~p1(X)))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(X,Y)|p1(Y))))&(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: 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% 8.50/1.50    inference(miniscoping,[status(esa)],[f9])).
% 8.50/1.50  fof(f11,plain,(
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(~r1(sk0_0,Y)|p1(Y)))))&(r1(sk0_0,sk0_265)&~p2(sk0_265)))&(((r1(sk0_0,sk0_266)&(r1(sk0_266,sk0_267)&~p2(sk0_267)))&(((r1(sk0_266,sk0_268)&(r1(sk0_268,sk0_269)&~p2(sk0_269)))&(((r1(sk0_268,sk0_270)&(r1(sk0_270,sk0_271)&~p2(sk0_271)))&(((r1(sk0_270,sk0_272)&(r1(sk0_272,sk0_273)&~p2(sk0_273)))&(((r1(sk0_272,sk0_274)&(r1(sk0_274,sk0_275)&~p2(sk0_275)))&(((r1(sk0_274,sk0_276)&(r1(sk0_276,sk0_277)&~p2(sk0_277)))&(((r1(sk0_276,sk0_278)&(r1(sk0_278,sk0_279)&~p2(sk0_279)))&(((r1(sk0_278,sk0_280)&(r1(sk0_280,sk0_281)&~p2(sk0_281)))&(((r1(sk0_280,sk0_282)&(r1(sk0_282,sk0_283)&~p2(sk0_283)))&((r1(sk0_282,sk0_284)&(r1(sk0_284,sk0_285)&(![X]: 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(~r1(sk0_0,Y)|p1(Y)))))&(r1(sk0_0,sk0_302)&~p2(sk0_302)))&(((r1(sk0_0,sk0_303)&(r1(sk0_303,sk0_304)&~p2(sk0_304)))&(((r1(sk0_303,sk0_305)&(r1(sk0_305,sk0_306)&~p2(sk0_306)))&(((r1(sk0_305,sk0_307)&(r1(sk0_307,sk0_308)&~p2(sk0_308)))&(((r1(sk0_307,sk0_309)&(r1(sk0_309,sk0_310)&~p2(sk0_310)))&(((r1(sk0_309,sk0_311)&(r1(sk0_311,sk0_312)&~p2(sk0_312)))&(((r1(sk0_311,sk0_313)&(r1(sk0_313,sk0_314)&~p2(sk0_314)))&(((r1(sk0_313,sk0_315)&(r1(sk0_315,sk0_316)&~p2(sk0_316)))&(((r1(sk0_315,sk0_317)&(r1(sk0_317,sk0_318)&~p2(sk0_318)))&(((r1(sk0_317,sk0_319)&(r1(sk0_319,sk0_320)&~p2(sk0_320)))&((r1(sk0_319,sk0_321)&(r1(sk0_321,sk0_322)&(![X]: 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(~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(r1(Y,sk0_338(Y))&$true))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(r1(sk0_0,sk0_339)&~p2(sk0_339)))&(((r1(sk0_0,sk0_340)&(r1(sk0_340,sk0_341)&~p2(sk0_341)))&(((r1(sk0_340,sk0_342)&(r1(sk0_342,sk0_343)&~p2(sk0_343)))&(((r1(sk0_342,sk0_344)&(r1(sk0_344,sk0_345)&~p2(sk0_345)))&(((r1(sk0_344,sk0_346)&(r1(sk0_346,sk0_347)&~p2(sk0_347)))&(((r1(sk0_346,sk0_348)&(r1(sk0_348,sk0_349)&~p2(sk0_349)))&(((r1(sk0_348,sk0_350)&(r1(sk0_350,sk0_351)&~p2(sk0_351)))&(((r1(sk0_350,sk0_352)&(r1(sk0_352,sk0_353)&~p2(sk0_353)))&(((r1(sk0_352,sk0_354)&(r1(sk0_354,sk0_355)&~p2(sk0_355)))&(((r1(sk0_354,sk0_356)&(r1(sk0_356,sk0_357)&~p2(sk0_357)))&((r1(sk0_356,sk0_358)&(r1(sk0_358,sk0_359)&(![X]: (~r1(sk0_359,X)|p1(X)))))&(r1(sk0_358,sk0_360)&~p1(sk0_360))))&(r1(sk0_356,sk0_361)&~p1(sk0_361))))&(r1(sk0_354,sk0_362)&~p1(sk0_362))))&(r1(sk0_352,sk0_363)&~p1(sk0_363))))&(r1(sk0_350,sk0_364)&~p1(sk0_364))))&(r1(sk0_348,sk0_365)&~p1(sk0_365))))&(r1(sk0_346,sk0_366)&~p1(sk0_366))))&(r1(sk0_344,sk0_367)&~p1(sk0_367))))&(r1(sk0_342,sk0_368)&~p1(sk0_368))))&(r1(sk0_340,sk0_369)&~p1(sk0_369))))&(r1(sk0_0,sk0_370)&~p1(sk0_370)))),
% 8.50/1.50    inference(skolemization,[status(esa)],[f10])).
% 8.50/1.50  fof(f12,plain,(
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(~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_262(X,Y,X,Y))&(![X]: (~r1(sk0_262(X,Y,X,Y),X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_263(X,Y,X,Y))&~p1(sk0_263(X,Y,X,Y))))))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|p2(Y)))|(![Y]: (~r1(X,Y)|(?[X]: r1(Y,sk0_264(Y,X,Y))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(?[Y]: (r1(sk0_0,sk0_265)&~p2(sk0_265))))&(?[Y]: (((r1(sk0_0,sk0_266)&(?[X]: (r1(sk0_266,sk0_267)&~p2(sk0_267))))&(?[X]: (((r1(sk0_266,sk0_268)&(?[Y]: (r1(sk0_268,sk0_269)&~p2(sk0_269))))&(?[Y]: (((r1(sk0_268,sk0_270)&(?[X]: (r1(sk0_270,sk0_271)&~p2(sk0_271))))&(?[X]: (((r1(sk0_270,sk0_272)&(?[Y]: (r1(sk0_272,sk0_273)&~p2(sk0_273))))&(?[Y]: (((r1(sk0_272,sk0_274)&(?[X]: (r1(sk0_274,sk0_275)&~p2(sk0_275))))&(?[X]: (((r1(sk0_274,sk0_276)&(?[Y]: (r1(sk0_276,sk0_277)&~p2(sk0_277))))&(?[Y]: (((r1(sk0_276,sk0_278)&(?[X]: (r1(sk0_278,sk0_279)&~p2(sk0_279))))&(?[X]: (((r1(sk0_278,sk0_280)&(?[Y]: (r1(sk0_280,sk0_281)&~p2(sk0_281))))&(?[Y]: (((r1(sk0_280,sk0_282)&(?[X]: (r1(sk0_282,sk0_283)&~p2(sk0_283))))&(?[X]: ((r1(sk0_282,sk0_284)&(?[Y]: (r1(sk0_284,sk0_285)&(![X]: (~r1(sk0_285,X)|p1(X))))))&(?[Y]: (r1(sk0_284,sk0_286)&~p1(sk0_286))))))&(?[X]: (r1(sk0_282,sk0_287)&~p1(sk0_287))))))&(?[Y]: (r1(sk0_280,sk0_288)&~p1(sk0_288))))))&(?[X]: (r1(sk0_278,sk0_289)&~p1(sk0_289))))))&(?[Y]: (r1(sk0_276,sk0_290)&~p1(sk0_290))))))&(?[X]: (r1(sk0_274,sk0_291)&~p1(sk0_291))))))&(?[Y]: (r1(sk0_272,sk0_292)&~p1(sk0_292))))))&(?[X]: (r1(sk0_270,sk0_293)&~p1(sk0_293))))))&(?[Y]: (r1(sk0_268,sk0_294)&~p1(sk0_294))))))&(?[X]: (r1(sk0_266,sk0_295)&~p1(sk0_295))))))&(?[Y]: (r1(sk0_0,sk0_296)&~p1(sk0_296))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,sk0_297(Y,X,Y))&p1(sk0_297(Y,X,Y))))))|~p1(X)))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_298(X,Y,X,Y))&~p1(sk0_298(X,Y,X,Y))))))|(![X]: (~r1(Y,X)|p1(X)))))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,sk0_299(Y,X,Y))&(![Y]: (~r1(sk0_299(Y,X,Y),Y)|p1(Y)))))))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,sk0_300(Y,X,Y))&~p1(sk0_300(Y,X,Y))))))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(((![X]: (~r1(Y,X)|p2(X)))|(![X]: (~r1(Y,X)|(?[Y]: r1(X,sk0_301(X,Y))))))|(![X]: (~r1(Y,X)|p1(X)))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(?[Y]: (r1(sk0_0,sk0_302)&~p2(sk0_302))))&(?[Y]: (((r1(sk0_0,sk0_303)&(?[X]: (r1(sk0_303,sk0_304)&~p2(sk0_304))))&(?[X]: (((r1(sk0_303,sk0_305)&(?[Y]: (r1(sk0_305,sk0_306)&~p2(sk0_306))))&(?[Y]: (((r1(sk0_305,sk0_307)&(?[X]: (r1(sk0_307,sk0_308)&~p2(sk0_308))))&(?[X]: (((r1(sk0_307,sk0_309)&(?[Y]: (r1(sk0_309,sk0_310)&~p2(sk0_310))))&(?[Y]: (((r1(sk0_309,sk0_311)&(?[X]: (r1(sk0_311,sk0_312)&~p2(sk0_312))))&(?[X]: (((r1(sk0_311,sk0_313)&(?[Y]: (r1(sk0_313,sk0_314)&~p2(sk0_314))))&(?[Y]: (((r1(sk0_313,sk0_315)&(?[X]: (r1(sk0_315,sk0_316)&~p2(sk0_316))))&(?[X]: (((r1(sk0_315,sk0_317)&(?[Y]: (r1(sk0_317,sk0_318)&~p2(sk0_318))))&(?[Y]: (((r1(sk0_317,sk0_319)&(?[X]: (r1(sk0_319,sk0_320)&~p2(sk0_320))))&(?[X]: ((r1(sk0_319,sk0_321)&(?[Y]: (r1(sk0_321,sk0_322)&(![X]: (~r1(sk0_322,X)|p1(X))))))&(?[Y]: (r1(sk0_321,sk0_323)&~p1(sk0_323))))))&(?[X]: (r1(sk0_319,sk0_324)&~p1(sk0_324))))))&(?[Y]: (r1(sk0_317,sk0_325)&~p1(sk0_325))))))&(?[X]: (r1(sk0_315,sk0_326)&~p1(sk0_326))))))&(?[Y]: (r1(sk0_313,sk0_327)&~p1(sk0_327))))))&(?[X]: (r1(sk0_311,sk0_328)&~p1(sk0_328))))))&(?[Y]: (r1(sk0_309,sk0_329)&~p1(sk0_329))))))&(?[X]: (r1(sk0_307,sk0_330)&~p1(sk0_330))))))&(?[Y]: (r1(sk0_305,sk0_331)&~p1(sk0_331))))))&(?[X]: (r1(sk0_303,sk0_332)&~p1(sk0_332))))))&(?[Y]: (r1(sk0_0,sk0_333)&~p1(sk0_333))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_334(X,Y))&p1(sk0_334(X,Y))))))|~p1(Y)))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|((![Y]: (~r1(X,Y)|(?[X]: (r1(Y,sk0_335(Y,X,Y))&~p1(sk0_335(Y,X,Y))))))|(![Y]: (~r1(X,Y)|p1(Y)))))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_336(X,Y))&(![X]: (~r1(sk0_336(X,Y),X)|p1(X)))))))|(![X]: (~r1(Y,X)|(?[Y]: (r1(X,sk0_337(X,Y))&~p1(sk0_337(X,Y))))))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(((![Y]: (~r1(sk0_0,Y)|p2(Y)))|(![Y]: (~r1(sk0_0,Y)|(?[X]: r1(Y,sk0_338(Y))))))|(![Y]: (~r1(sk0_0,Y)|p1(Y)))))&(?[Y]: (r1(sk0_0,sk0_339)&~p2(sk0_339))))&(?[Y]: (((r1(sk0_0,sk0_340)&(?[X]: (r1(sk0_340,sk0_341)&~p2(sk0_341))))&(?[X]: (((r1(sk0_340,sk0_342)&(?[Y]: (r1(sk0_342,sk0_343)&~p2(sk0_343))))&(?[Y]: (((r1(sk0_342,sk0_344)&(?[X]: (r1(sk0_344,sk0_345)&~p2(sk0_345))))&(?[X]: (((r1(sk0_344,sk0_346)&(?[Y]: (r1(sk0_346,sk0_347)&~p2(sk0_347))))&(?[Y]: (((r1(sk0_346,sk0_348)&(?[X]: (r1(sk0_348,sk0_349)&~p2(sk0_349))))&(?[X]: (((r1(sk0_348,sk0_350)&(?[Y]: (r1(sk0_350,sk0_351)&~p2(sk0_351))))&(?[Y]: (((r1(sk0_350,sk0_352)&(?[X]: (r1(sk0_352,sk0_353)&~p2(sk0_353))))&(?[X]: (((r1(sk0_352,sk0_354)&(?[Y]: (r1(sk0_354,sk0_355)&~p2(sk0_355))))&(?[Y]: (((r1(sk0_354,sk0_356)&(?[X]: (r1(sk0_356,sk0_357)&~p2(sk0_357))))&(?[X]: ((r1(sk0_356,sk0_358)&(?[Y]: (r1(sk0_358,sk0_359)&(![X]: (~r1(sk0_359,X)|p1(X))))))&(?[Y]: (r1(sk0_358,sk0_360)&~p1(sk0_360))))))&(?[X]: (r1(sk0_356,sk0_361)&~p1(sk0_361))))))&(?[Y]: (r1(sk0_354,sk0_362)&~p1(sk0_362))))))&(?[X]: (r1(sk0_352,sk0_363)&~p1(sk0_363))))))&(?[Y]: (r1(sk0_350,sk0_364)&~p1(sk0_364))))))&(?[X]: (r1(sk0_348,sk0_365)&~p1(sk0_365))))))&(?[Y]: (r1(sk0_346,sk0_366)&~p1(sk0_366))))))&(?[X]: (r1(sk0_344,sk0_367)&~p1(sk0_367))))))&(?[Y]: (r1(sk0_342,sk0_368)&~p1(sk0_368))))))&(?[X]: (r1(sk0_340,sk0_369)&~p1(sk0_369))))))&(?[Y]: (r1(sk0_0,sk0_370)&~p1(sk0_370))))),
% 8.50/1.50    inference($true_and_$false_simplification,[status(esa)],[f11])).
% 8.50/1.50  fof(f22,plain,(
% 8.50/1.50    r1(sk0_0,sk0_6)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f23,plain,(
% 8.50/1.50    ~p2(sk0_6)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f24,plain,(
% 8.50/1.50    r1(sk0_0,sk0_7)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f27,plain,(
% 8.50/1.50    r1(sk0_7,sk0_9)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f30,plain,(
% 8.50/1.50    r1(sk0_9,sk0_11)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f33,plain,(
% 8.50/1.50    r1(sk0_11,sk0_13)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f36,plain,(
% 8.50/1.50    r1(sk0_13,sk0_15)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f39,plain,(
% 8.50/1.50    r1(sk0_15,sk0_17)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f42,plain,(
% 8.50/1.50    r1(sk0_17,sk0_19)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f45,plain,(
% 8.50/1.50    r1(sk0_19,sk0_21)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f48,plain,(
% 8.50/1.50    r1(sk0_21,sk0_23)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f51,plain,(
% 8.50/1.50    r1(sk0_23,sk0_25)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f52,plain,(
% 8.50/1.50    r1(sk0_25,sk0_26)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f53,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_26,X0)|p1(X0))),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f54,plain,(
% 8.50/1.50    r1(sk0_25,sk0_27)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f55,plain,(
% 8.50/1.50    ~p1(sk0_27)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f64,plain,(
% 8.50/1.50    r1(sk0_15,sk0_32)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f65,plain,(
% 8.50/1.50    ~p1(sk0_32)),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f582,plain,(
% 8.50/1.50    ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sk0_335(X3,X2,X1))|~r1(X2,X4)|p1(X4)|~r1(sk0_0,X5)|p1(X5))),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f583,plain,(
% 8.50/1.50    ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|~p1(sk0_335(X3,X2,X1))|~r1(X2,X4)|p1(X4)|~r1(sk0_0,X5)|p1(X5))),
% 8.50/1.50    inference(cnf_transformation,[status(esa)],[f12])).
% 8.50/1.50  fof(f643,plain,(
% 8.50/1.50    spl0_0 <=> ~r1(sk0_0,X0)|p2(X0)),
% 8.50/1.50    introduced(split_symbol_definition)).
% 8.50/1.50  fof(f644,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|p2(X0)|~spl0_0)),
% 8.50/1.50    inference(component_clause,[status(thm)],[f643])).
% 8.50/1.50  fof(f649,plain,(
% 8.50/1.50    spl0_2 <=> ~r1(sk0_0,X30)|p1(X30)),
% 8.50/1.50    introduced(split_symbol_definition)).
% 8.50/1.50  fof(f650,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|p1(X0)|~spl0_2)),
% 8.50/1.50    inference(component_clause,[status(thm)],[f649])).
% 8.50/1.50  fof(f981,plain,(
% 8.50/1.50    spl0_85 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|r1(X3,sk0_335(X3,X2,X1))|~r1(X2,X4)|p1(X4)),
% 8.50/1.50    introduced(split_symbol_definition)).
% 8.50/1.50  fof(f982,plain,(
% 8.50/1.50    ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|r1(X2,sk0_335(X2,X1,X0))|~r1(X1,X3)|p1(X3)|~spl0_85)),
% 8.50/1.50    inference(component_clause,[status(thm)],[f981])).
% 8.50/1.50  fof(f984,plain,(
% 8.50/1.50    spl0_0|spl0_85|spl0_2),
% 8.50/1.50    inference(split_clause,[status(thm)],[f582,f643,f981,f649])).
% 8.50/1.50  fof(f985,plain,(
% 8.50/1.50    spl0_86 <=> ~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,X3)|~p1(sk0_335(X3,X2,X1))|~r1(X2,X4)|p1(X4)),
% 8.50/1.50    introduced(split_symbol_definition)).
% 8.50/1.50  fof(f986,plain,(
% 8.50/1.50    ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~p1(sk0_335(X2,X1,X0))|~r1(X1,X3)|p1(X3)|~spl0_86)),
% 8.50/1.50    inference(component_clause,[status(thm)],[f985])).
% 8.50/1.50  fof(f988,plain,(
% 8.50/1.50    spl0_0|spl0_86|spl0_2),
% 8.50/1.50    inference(split_clause,[status(thm)],[f583,f643,f985,f649])).
% 8.50/1.50  fof(f1020,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_32)|~spl0_2),
% 8.50/1.50    inference(resolution,[status(thm)],[f65,f650])).
% 8.50/1.50  fof(f1026,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_32)|~spl0_2)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1020,f8])).
% 8.50/1.50  fof(f1047,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_15)|~spl0_2),
% 8.50/1.50    inference(resolution,[status(thm)],[f1026,f64])).
% 8.50/1.50  fof(f1053,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_15)|~spl0_2)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1047,f8])).
% 8.50/1.50  fof(f1069,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_13)|~spl0_2),
% 8.50/1.50    inference(resolution,[status(thm)],[f1053,f36])).
% 8.50/1.50  fof(f1072,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_13)|~spl0_2)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1069,f8])).
% 8.50/1.50  fof(f1073,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_11)|~spl0_2),
% 8.50/1.50    inference(resolution,[status(thm)],[f1072,f33])).
% 8.50/1.50  fof(f1076,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_11)|~spl0_2)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1073,f8])).
% 8.50/1.50  fof(f1077,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_9)|~spl0_2),
% 8.50/1.50    inference(resolution,[status(thm)],[f1076,f30])).
% 8.50/1.50  fof(f1080,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_9)|~spl0_2)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1077,f8])).
% 8.50/1.50  fof(f1081,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_7)|~spl0_2),
% 8.50/1.50    inference(resolution,[status(thm)],[f1080,f27])).
% 8.50/1.50  fof(f1082,plain,(
% 8.50/1.50    $false|~spl0_2),
% 8.50/1.50    inference(forward_subsumption_resolution,[status(thm)],[f1081,f24])).
% 8.50/1.50  fof(f1083,plain,(
% 8.50/1.50    ~spl0_2),
% 8.50/1.50    inference(contradiction_clause,[status(thm)],[f1082])).
% 8.50/1.50  fof(f1093,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_6)|~spl0_0),
% 8.50/1.50    inference(resolution,[status(thm)],[f644,f23])).
% 8.50/1.50  fof(f1094,plain,(
% 8.50/1.50    $false|~spl0_0),
% 8.50/1.50    inference(forward_subsumption_resolution,[status(thm)],[f1093,f22])).
% 8.50/1.50  fof(f1095,plain,(
% 8.50/1.50    ~spl0_0),
% 8.50/1.50    inference(contradiction_clause,[status(thm)],[f1094])).
% 8.50/1.50  fof(f1101,plain,(
% 8.50/1.50    ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|~r1(X1,X3)|p1(X3)|~r1(sk0_26,sk0_335(X2,X1,X0))|~spl0_86)),
% 8.50/1.50    inference(resolution,[status(thm)],[f986,f53])).
% 8.50/1.50  fof(f1104,plain,(
% 8.50/1.50    ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_26)|~r1(X1,X2)|p1(X2)|~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_26)|~r1(X1,X3)|p1(X3)|~spl0_86|~spl0_85)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1101,f982])).
% 8.50/1.50  fof(f1105,plain,(
% 8.50/1.50    ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,sk0_26)|~r1(X1,X2)|p1(X2)|~r1(X1,X3)|p1(X3)|~spl0_86|~spl0_85)),
% 8.50/1.50    inference(duplicate_literals_removal,[status(esa)],[f1104])).
% 8.50/1.50  fof(f1107,plain,(
% 8.50/1.50    spl0_92 <=> ~r1(sk0_0,X0)|~r1(X0,sk0_25)),
% 8.50/1.50    introduced(split_symbol_definition)).
% 8.50/1.50  fof(f1108,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_25)|~spl0_92)),
% 8.50/1.50    inference(component_clause,[status(thm)],[f1107])).
% 8.50/1.50  fof(f1110,plain,(
% 8.50/1.50    spl0_93 <=> ~r1(sk0_25,X1)|p1(X1)),
% 8.50/1.50    introduced(split_symbol_definition)).
% 8.50/1.50  fof(f1111,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_25,X0)|p1(X0)|~spl0_93)),
% 8.50/1.50    inference(component_clause,[status(thm)],[f1110])).
% 8.50/1.50  fof(f1113,plain,(
% 8.50/1.50    ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,sk0_25)|~r1(sk0_25,X1)|p1(X1)|~r1(sk0_25,X2)|p1(X2)|~spl0_86|~spl0_85)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1105,f52])).
% 8.50/1.50  fof(f1114,plain,(
% 8.50/1.50    spl0_92|spl0_93|~spl0_86|~spl0_85),
% 8.50/1.50    inference(split_clause,[status(thm)],[f1113,f1107,f1110,f985,f981])).
% 8.50/1.50  fof(f1124,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_23)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1108,f51])).
% 8.50/1.50  fof(f1127,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_23)|~spl0_92)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1124,f8])).
% 8.50/1.50  fof(f1132,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_21)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1127,f48])).
% 8.50/1.50  fof(f1135,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_21)|~spl0_92)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1132,f8])).
% 8.50/1.50  fof(f1136,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_19)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1135,f45])).
% 8.50/1.50  fof(f1139,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_19)|~spl0_92)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1136,f8])).
% 8.50/1.50  fof(f1140,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_17)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1139,f42])).
% 8.50/1.50  fof(f1143,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_17)|~spl0_92)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1140,f8])).
% 8.50/1.50  fof(f1144,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_15)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1143,f39])).
% 8.50/1.50  fof(f1147,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_15)|~spl0_92)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1144,f8])).
% 8.50/1.50  fof(f1148,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_13)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1147,f36])).
% 8.50/1.50  fof(f1151,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_13)|~spl0_92)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1148,f8])).
% 8.50/1.50  fof(f1152,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_11)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1151,f33])).
% 8.50/1.50  fof(f1155,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_11)|~spl0_92)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1152,f8])).
% 8.50/1.50  fof(f1156,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_9)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1155,f30])).
% 8.50/1.50  fof(f1159,plain,(
% 8.50/1.50    ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_9)|~spl0_92)),
% 8.50/1.50    inference(resolution,[status(thm)],[f1156,f8])).
% 8.50/1.50  fof(f1160,plain,(
% 8.50/1.50    ~r1(sk0_0,sk0_7)|~spl0_92),
% 8.50/1.50    inference(resolution,[status(thm)],[f1159,f27])).
% 8.50/1.50  fof(f1161,plain,(
% 8.50/1.50    $false|~spl0_92),
% 8.50/1.50    inference(forward_subsumption_resolution,[status(thm)],[f1160,f24])).
% 8.50/1.50  fof(f1162,plain,(
% 8.50/1.50    ~spl0_92),
% 8.50/1.50    inference(contradiction_clause,[status(thm)],[f1161])).
% 8.50/1.50  fof(f1181,plain,(
% 8.50/1.50    ~r1(sk0_25,sk0_27)|~spl0_93),
% 8.50/1.50    inference(resolution,[status(thm)],[f1111,f55])).
% 8.50/1.50  fof(f1182,plain,(
% 8.50/1.50    $false|~spl0_93),
% 8.50/1.50    inference(forward_subsumption_resolution,[status(thm)],[f1181,f54])).
% 8.50/1.50  fof(f1183,plain,(
% 8.50/1.50    ~spl0_93),
% 8.50/1.50    inference(contradiction_clause,[status(thm)],[f1182])).
% 8.50/1.50  fof(f1184,plain,(
% 8.50/1.50    $false),
% 8.50/1.50    inference(sat_refutation,[status(thm)],[f984,f988,f1083,f1095,f1114,f1162,f1183])).
% 8.50/1.50  % SZS output end CNFRefutation for theBenchmark.p
% 8.50/1.51  % Elapsed time: 1.154898 seconds
% 8.50/1.51  % CPU time: 8.559064 seconds
% 8.50/1.51  % Memory used: 50.425 MB
%------------------------------------------------------------------------------