TSTP Solution File: LCL642+1.015 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL642+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:19:47 EDT 2023
% Result : Theorem 31.12s 4.39s
% Output : CNFRefutation 31.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : LCL642+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:52:02 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 31.12/4.39 % Refutation found
% 31.12/4.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 31.12/4.39 % SZS output start CNFRefutation for theBenchmark
% 31.12/4.39 fof(f1,conjecture,(
% 31.12/4.39 ~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ p3(X) ) )))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ p1(X) ) )))| ~ ( ( ( ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ))& ( p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )| ~ (! [Y] :( ~ r1(X,Y)| ( ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )))| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ))& ( p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ( ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )))| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ))& ( p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ) ))| ~ ( ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ))& ( p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )) )) ) )) ))& ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) ) )) ))& ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) ) )) ))& ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) ) )) ))& ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) ) )) ))& ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )) )) ) )),
% 31.12/4.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 31.12/4.39 fof(f2,negated_conjecture,(
% 31.12/4.39 ~(~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ p3(X) ) )))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ p1(X) ) )))| ~ ( ( ( ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ))& ( p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )| ~ (! [Y] :( ~ r1(X,Y)| ( ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )))| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ))& ( p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ( ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )))| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ))& ( p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ) ))| ~ ( ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ))& ( p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )) )) ) )) ))& ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) ) )) ))& ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )) )) ) )) ))& ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) ) )) ))& ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )) )) ) )) ))& ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )) )) ) ))),
% 31.12/4.39 inference(negated_conjecture,[status(cth)],[f1])).
% 31.12/4.39 fof(f3,plain,(
% 31.12/4.39 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&(((((((((((((((((((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))|(?[Y]: ((r1(X,Y)&(((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))))|(((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(((p2(X)|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((~p2(X)&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((p1(X)|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(~p1(X)&(?[Y]: (r1(X,Y)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 31.12/4.39 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 31.12/4.39 fof(f4,plain,(
% 31.12/4.39 ![X]: (pd0_0(X)=>(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))),
% 31.12/4.39 introduced(predicate_definition,[f3])).
% 31.12/4.39 fof(f5,plain,(
% 31.12/4.39 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&((((((((((((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))))|(((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(((p2(X)|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((~p2(X)&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((p1(X)|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(~p1(X)&(?[Y]: (r1(X,Y)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 31.12/4.39 inference(formula_renaming,[status(thm)],[f3,f4])).
% 31.12/4.39 fof(f6,plain,(
% 31.12/4.39 ![Y]: (pd0_1(Y)=>((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))),
% 31.12/4.39 introduced(predicate_definition,[f5])).
% 31.12/4.39 fof(f7,plain,(
% 31.12/4.39 ![Y]: (pd0_2(Y)=>(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))),
% 31.12/4.39 introduced(predicate_definition,[f5])).
% 31.12/4.39 fof(f8,plain,(
% 31.12/4.39 ![X]: (pd0_3(X)=>((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))),
% 31.12/4.39 introduced(predicate_definition,[f5])).
% 31.12/4.39 fof(f9,plain,(
% 31.12/4.39 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&((((((((((((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(pd0_1(Y)|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(((p2(X)|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((~p2(X)&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((p1(X)|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(~p1(X)&(?[Y]: (r1(X,Y)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 31.12/4.39 inference(formula_renaming,[status(thm)],[f5,f8,f7,f6])).
% 31.12/4.39 fof(f10,plain,(
% 31.12/4.39 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&((((((((((((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(pd0_1(Y)|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))))))&(((p2(X)|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (((((r1(Y,X)&~p4(X))&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(~p1(X)&(?[Y]: (((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))&((((p3(X)|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(((~p3(X)&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))&(((p2(X)|p1(X))|((![Y]: ~r1(X,Y))|$false))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((~p2(X)&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))&((p1(X)|((![Y]: ~r1(X,Y))|$false))|(?[Y]: (((r1(X,Y)&~p1(Y))&((?[X]: r1(Y,X))&$true))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(~p1(X)&((?[Y]: r1(X,Y))&$true))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 31.12/4.39 inference(miniscoping,[status(esa)],[f9])).
% 31.12/4.39 fof(f11,plain,(
% 31.12/4.39 (((((((r1(sk0_0,sk0_1)&~p3(sk0_1))&(![Y]: ((~r1(sk0_0,Y)|p3(Y))|((r1(Y,sk0_2(Y))&(r1(sk0_2(Y),sk0_3(Y))&~p3(sk0_3(Y))))&p3(sk0_2(Y))))))&(r1(sk0_0,sk0_4)&~p2(sk0_4)))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|((r1(Y,sk0_5(Y))&(r1(sk0_5(Y),sk0_6(Y))&~p2(sk0_6(Y))))&p2(sk0_5(Y))))))&(r1(sk0_0,sk0_7)&~p1(sk0_7)))&(![Y]: ((~r1(sk0_0,Y)|p1(Y))|((r1(Y,sk0_8(Y))&(r1(sk0_8(Y),sk0_9(Y))&~p1(sk0_9(Y))))&p1(sk0_8(Y))))))&((((((((((((((((pd0_0(sk0_0)|((r1(sk0_0,sk0_10)&(pd0_1(sk0_10)|(~p2(sk0_10)&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|((((r1(sk0_0,sk0_11)&~p2(sk0_11))&~p1(sk0_11))&(((((r1(sk0_11,sk0_12)&~p4(sk0_12))&~p3(sk0_12))&~p2(sk0_12))&~p1(sk0_12))&(((((r1(sk0_12,sk0_13)&~p4(sk0_13))&~p3(sk0_13))&~p2(sk0_13))&~p1(sk0_13))&(((((r1(sk0_13,sk0_14)&~p4(sk0_14))&~p3(sk0_14))&~p2(sk0_14))&~p1(sk0_14))&(r1(sk0_14,sk0_15)&$true)))))&(![X]: ((~r1(sk0_11,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))))))|((~p2(X)&~p1(X))&(((((r1(X,sk0_16(X))&~p4(sk0_16(X)))&~p3(sk0_16(X)))&~p2(sk0_16(X)))&~p1(sk0_16(X)))&(((((r1(sk0_16(X),sk0_17(X))&~p4(sk0_17(X)))&~p3(sk0_17(X)))&~p2(sk0_17(X)))&~p1(sk0_17(X)))&(((((r1(sk0_17(X),sk0_18(X))&~p4(sk0_18(X)))&~p3(sk0_18(X)))&~p2(sk0_18(X)))&~p1(sk0_18(X)))&(r1(sk0_18(X),sk0_19(X))&$true))))))))))&((p1(sk0_0)|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|(((r1(sk0_0,sk0_20)&~p1(sk0_20))&(((((r1(sk0_20,sk0_21)&~p4(sk0_21))&~p3(sk0_21))&~p2(sk0_21))&~p1(sk0_21))&(((((r1(sk0_21,sk0_22)&~p4(sk0_22))&~p3(sk0_22))&~p2(sk0_22))&~p1(sk0_22))&(((((r1(sk0_22,sk0_23)&~p4(sk0_23))&~p3(sk0_23))&~p2(sk0_23))&~p1(sk0_23))&(r1(sk0_23,sk0_24)&$true)))))&(![X]: ((~r1(sk0_20,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))))))|(~p1(X)&(((((r1(X,sk0_25(X))&~p4(sk0_25(X)))&~p3(sk0_25(X)))&~p2(sk0_25(X)))&~p1(sk0_25(X)))&(((((r1(sk0_25(X),sk0_26(X))&~p4(sk0_26(X)))&~p3(sk0_26(X)))&~p2(sk0_26(X)))&~p1(sk0_26(X)))&(((((r1(sk0_26(X),sk0_27(X))&~p4(sk0_27(X)))&~p3(sk0_27(X)))&~p2(sk0_27(X)))&~p1(sk0_27(X)))&(r1(sk0_27(X),sk0_28(X))&$true))))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|((((((r1(sk0_0,sk0_29)&~p4(sk0_29))&~p3(sk0_29))&~p2(sk0_29))&~p1(sk0_29))&(((((r1(sk0_29,sk0_30)&~p4(sk0_30))&~p3(sk0_30))&~p2(sk0_30))&~p1(sk0_30))&(((((r1(sk0_30,sk0_31)&~p4(sk0_31))&~p3(sk0_31))&~p2(sk0_31))&~p1(sk0_31))&(r1(sk0_31,sk0_32)&$true))))&(![X]: ((~r1(sk0_29,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(((((r1(X,sk0_33(X))&~p4(sk0_33(X)))&~p3(sk0_33(X)))&~p2(sk0_33(X)))&~p1(sk0_33(X)))&(((((r1(sk0_33(X),sk0_34(X))&~p4(sk0_34(X)))&~p3(sk0_34(X)))&~p2(sk0_34(X)))&~p1(sk0_34(X)))&(r1(sk0_34(X),sk0_35(X))&$true)))))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(((((r1(sk0_0,sk0_36)&~p3(sk0_36))&~p2(sk0_36))&~p1(sk0_36))&(((((r1(sk0_36,sk0_37)&~p4(sk0_37))&~p3(sk0_37))&~p2(sk0_37))&~p1(sk0_37))&(((((r1(sk0_37,sk0_38)&~p4(sk0_38))&~p3(sk0_38))&~p2(sk0_38))&~p1(sk0_38))&(r1(sk0_38,sk0_39)&$true))))&(![X]: ((~r1(sk0_36,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|(((~p3(X)&~p2(X))&~p1(X))&(((((r1(X,sk0_40(X))&~p4(sk0_40(X)))&~p3(sk0_40(X)))&~p2(sk0_40(X)))&~p1(sk0_40(X)))&(((((r1(sk0_40(X),sk0_41(X))&~p4(sk0_41(X)))&~p3(sk0_41(X)))&~p2(sk0_41(X)))&~p1(sk0_41(X)))&(r1(sk0_41(X),sk0_42(X))&$true)))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|((((r1(sk0_0,sk0_43)&~p2(sk0_43))&~p1(sk0_43))&(((((r1(sk0_43,sk0_44)&~p4(sk0_44))&~p3(sk0_44))&~p2(sk0_44))&~p1(sk0_44))&(((((r1(sk0_44,sk0_45)&~p4(sk0_45))&~p3(sk0_45))&~p2(sk0_45))&~p1(sk0_45))&(r1(sk0_45,sk0_46)&$true))))&(![X]: ((~r1(sk0_43,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|((~p2(X)&~p1(X))&(((((r1(X,sk0_47(X))&~p4(sk0_47(X)))&~p3(sk0_47(X)))&~p2(sk0_47(X)))&~p1(sk0_47(X)))&(((((r1(sk0_47(X),sk0_48(X))&~p4(sk0_48(X)))&~p3(sk0_48(X)))&~p2(sk0_48(X)))&~p1(sk0_48(X)))&(r1(sk0_48(X),sk0_49(X))&$true)))))))))&((p1(sk0_0)|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(((r1(sk0_0,sk0_50)&~p1(sk0_50))&(((((r1(sk0_50,sk0_51)&~p4(sk0_51))&~p3(sk0_51))&~p2(sk0_51))&~p1(sk0_51))&(((((r1(sk0_51,sk0_52)&~p4(sk0_52))&~p3(sk0_52))&~p2(sk0_52))&~p1(sk0_52))&(r1(sk0_52,sk0_53)&$true))))&(![X]: ((~r1(sk0_50,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|(~p1(X)&(((((r1(X,sk0_54(X))&~p4(sk0_54(X)))&~p3(sk0_54(X)))&~p2(sk0_54(X)))&~p1(sk0_54(X)))&(((((r1(sk0_54(X),sk0_55(X))&~p4(sk0_55(X)))&~p3(sk0_55(X)))&~p2(sk0_55(X)))&~p1(sk0_55(X)))&(r1(sk0_55(X),sk0_56(X))&$true)))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((((r1(sk0_0,sk0_57)&~p4(sk0_57))&~p3(sk0_57))&~p2(sk0_57))&~p1(sk0_57))&(((((r1(sk0_57,sk0_58)&~p4(sk0_58))&~p3(sk0_58))&~p2(sk0_58))&~p1(sk0_58))&(r1(sk0_58,sk0_59)&$true)))&(![X]: ((~r1(sk0_57,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(((((r1(X,sk0_60(X))&~p4(sk0_60(X)))&~p3(sk0_60(X)))&~p2(sk0_60(X)))&~p1(sk0_60(X)))&(r1(sk0_60(X),sk0_61(X))&$true))))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(((((r1(sk0_0,sk0_62)&~p3(sk0_62))&~p2(sk0_62))&~p1(sk0_62))&(((((r1(sk0_62,sk0_63)&~p4(sk0_63))&~p3(sk0_63))&~p2(sk0_63))&~p1(sk0_63))&(r1(sk0_63,sk0_64)&$true)))&(![X]: ((~r1(sk0_62,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(((~p3(X)&~p2(X))&~p1(X))&(((((r1(X,sk0_65(X))&~p4(sk0_65(X)))&~p3(sk0_65(X)))&~p2(sk0_65(X)))&~p1(sk0_65(X)))&(r1(sk0_65(X),sk0_66(X))&$true))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((r1(sk0_0,sk0_67)&~p2(sk0_67))&~p1(sk0_67))&(((((r1(sk0_67,sk0_68)&~p4(sk0_68))&~p3(sk0_68))&~p2(sk0_68))&~p1(sk0_68))&(r1(sk0_68,sk0_69)&$true)))&(![X]: ((~r1(sk0_67,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|((~p2(X)&~p1(X))&(((((r1(X,sk0_70(X))&~p4(sk0_70(X)))&~p3(sk0_70(X)))&~p2(sk0_70(X)))&~p1(sk0_70(X)))&(r1(sk0_70(X),sk0_71(X))&$true))))))))&((p1(sk0_0)|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(((r1(sk0_0,sk0_72)&~p1(sk0_72))&(((((r1(sk0_72,sk0_73)&~p4(sk0_73))&~p3(sk0_73))&~p2(sk0_73))&~p1(sk0_73))&(r1(sk0_73,sk0_74)&$true)))&(![X]: ((~r1(sk0_72,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(~p1(X)&(((((r1(X,sk0_75(X))&~p4(sk0_75(X)))&~p3(sk0_75(X)))&~p2(sk0_75(X)))&~p1(sk0_75(X)))&(r1(sk0_75(X),sk0_76(X))&$true))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|((((((r1(sk0_0,sk0_77)&~p4(sk0_77))&~p3(sk0_77))&~p2(sk0_77))&~p1(sk0_77))&(r1(sk0_77,sk0_78)&$true))&(![X]: ((~r1(sk0_77,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(r1(X,sk0_79(X))&$true)))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|(((((r1(sk0_0,sk0_80)&~p3(sk0_80))&~p2(sk0_80))&~p1(sk0_80))&(r1(sk0_80,sk0_81)&$true))&(![X]: ((~r1(sk0_80,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(((~p3(X)&~p2(X))&~p1(X))&(r1(X,sk0_82(X))&$true)))))))&(((p2(sk0_0)|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|((((r1(sk0_0,sk0_83)&~p2(sk0_83))&~p1(sk0_83))&(r1(sk0_83,sk0_84)&$true))&(![X]: ((~r1(sk0_83,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((~p2(X)&~p1(X))&(r1(X,sk0_85(X))&$true)))))))&((p1(sk0_0)|((![Y]: ~r1(sk0_0,Y))|$false))|(((r1(sk0_0,sk0_86)&~p1(sk0_86))&(r1(sk0_86,sk0_87)&$true))&(![X]: ((~r1(sk0_86,X)|(![Y]: ((~r1(X,Y)|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(~p1(X)&(r1(X,sk0_88(X))&$true)))))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|((r1(Y,sk0_89(Y))&~p2(sk0_89(Y)))&(![Y]: ((~r1(sk0_89(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))),
% 31.12/4.39 inference(skolemization,[status(esa)],[f10])).
% 31.12/4.39 fof(f12,plain,(
% 31.12/4.39 ?[X]: (((((((?[Y]: (r1(sk0_0,sk0_1)&~p3(sk0_1)))&(![Y]: ((~r1(sk0_0,Y)|p3(Y))|(?[X]: ((r1(Y,sk0_2(Y))&(?[Y]: (r1(sk0_2(Y),sk0_3(Y))&~p3(sk0_3(Y)))))&p3(sk0_2(Y)))))))&(?[Y]: (r1(sk0_0,sk0_4)&~p2(sk0_4))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|(?[X]: ((r1(Y,sk0_5(Y))&(?[Y]: (r1(sk0_5(Y),sk0_6(Y))&~p2(sk0_6(Y)))))&p2(sk0_5(Y)))))))&(?[Y]: (r1(sk0_0,sk0_7)&~p1(sk0_7))))&(![Y]: ((~r1(sk0_0,Y)|p1(Y))|(?[X]: ((r1(Y,sk0_8(Y))&(?[Y]: (r1(sk0_8(Y),sk0_9(Y))&~p1(sk0_9(Y)))))&p1(sk0_8(Y)))))))&((((((((((((((((pd0_0(sk0_0)|(?[Y]: ((r1(sk0_0,sk0_10)&(pd0_1(sk0_10)|(~p2(sk0_10)&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))))))|(?[Y]: ((((r1(sk0_0,sk0_11)&~p2(sk0_11))&~p1(sk0_11))&(?[X]: (((((r1(sk0_11,sk0_12)&~p4(sk0_12))&~p3(sk0_12))&~p2(sk0_12))&~p1(sk0_12))&(?[Y]: (((((r1(sk0_12,sk0_13)&~p4(sk0_13))&~p3(sk0_13))&~p2(sk0_13))&~p1(sk0_13))&(?[X]: (((((r1(sk0_13,sk0_14)&~p4(sk0_14))&~p3(sk0_14))&~p2(sk0_14))&~p1(sk0_14))&(?[Y]: r1(sk0_14,sk0_15)))))))))&(![X]: ((~r1(sk0_11,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,sk0_16(X))&~p4(sk0_16(X)))&~p3(sk0_16(X)))&~p2(sk0_16(X)))&~p1(sk0_16(X)))&(?[X]: (((((r1(sk0_16(X),sk0_17(X))&~p4(sk0_17(X)))&~p3(sk0_17(X)))&~p2(sk0_17(X)))&~p1(sk0_17(X)))&(?[Y]: (((((r1(sk0_17(X),sk0_18(X))&~p4(sk0_18(X)))&~p3(sk0_18(X)))&~p2(sk0_18(X)))&~p1(sk0_18(X)))&(?[X]: r1(sk0_18(X),sk0_19(X))))))))))))))))&((p1(sk0_0)|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))))))|(?[Y]: (((r1(sk0_0,sk0_20)&~p1(sk0_20))&(?[X]: (((((r1(sk0_20,sk0_21)&~p4(sk0_21))&~p3(sk0_21))&~p2(sk0_21))&~p1(sk0_21))&(?[Y]: (((((r1(sk0_21,sk0_22)&~p4(sk0_22))&~p3(sk0_22))&~p2(sk0_22))&~p1(sk0_22))&(?[X]: (((((r1(sk0_22,sk0_23)&~p4(sk0_23))&~p3(sk0_23))&~p2(sk0_23))&~p1(sk0_23))&(?[Y]: r1(sk0_23,sk0_24)))))))))&(![X]: ((~r1(sk0_20,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))))))|(~p1(X)&(?[Y]: (((((r1(X,sk0_25(X))&~p4(sk0_25(X)))&~p3(sk0_25(X)))&~p2(sk0_25(X)))&~p1(sk0_25(X)))&(?[X]: (((((r1(sk0_25(X),sk0_26(X))&~p4(sk0_26(X)))&~p3(sk0_26(X)))&~p2(sk0_26(X)))&~p1(sk0_26(X)))&(?[Y]: (((((r1(sk0_26(X),sk0_27(X))&~p4(sk0_27(X)))&~p3(sk0_27(X)))&~p2(sk0_27(X)))&~p1(sk0_27(X)))&(?[X]: r1(sk0_27(X),sk0_28(X))))))))))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))|(?[Y]: ((((((r1(sk0_0,sk0_29)&~p4(sk0_29))&~p3(sk0_29))&~p2(sk0_29))&~p1(sk0_29))&(?[X]: (((((r1(sk0_29,sk0_30)&~p4(sk0_30))&~p3(sk0_30))&~p2(sk0_30))&~p1(sk0_30))&(?[Y]: (((((r1(sk0_30,sk0_31)&~p4(sk0_31))&~p3(sk0_31))&~p2(sk0_31))&~p1(sk0_31))&(?[X]: r1(sk0_31,sk0_32)))))))&(![X]: ((~r1(sk0_29,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,sk0_33(X))&~p4(sk0_33(X)))&~p3(sk0_33(X)))&~p2(sk0_33(X)))&~p1(sk0_33(X)))&(?[X]: (((((r1(sk0_33(X),sk0_34(X))&~p4(sk0_34(X)))&~p3(sk0_34(X)))&~p2(sk0_34(X)))&~p1(sk0_34(X)))&(?[Y]: r1(sk0_34(X),sk0_35(X))))))))))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))|(?[Y]: (((((r1(sk0_0,sk0_36)&~p3(sk0_36))&~p2(sk0_36))&~p1(sk0_36))&(?[X]: (((((r1(sk0_36,sk0_37)&~p4(sk0_37))&~p3(sk0_37))&~p2(sk0_37))&~p1(sk0_37))&(?[Y]: (((((r1(sk0_37,sk0_38)&~p4(sk0_38))&~p3(sk0_38))&~p2(sk0_38))&~p1(sk0_38))&(?[X]: r1(sk0_38,sk0_39)))))))&(![X]: ((~r1(sk0_36,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,sk0_40(X))&~p4(sk0_40(X)))&~p3(sk0_40(X)))&~p2(sk0_40(X)))&~p1(sk0_40(X)))&(?[X]: (((((r1(sk0_40(X),sk0_41(X))&~p4(sk0_41(X)))&~p3(sk0_41(X)))&~p2(sk0_41(X)))&~p1(sk0_41(X)))&(?[Y]: r1(sk0_41(X),sk0_42(X))))))))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))|(?[Y]: ((((r1(sk0_0,sk0_43)&~p2(sk0_43))&~p1(sk0_43))&(?[X]: (((((r1(sk0_43,sk0_44)&~p4(sk0_44))&~p3(sk0_44))&~p2(sk0_44))&~p1(sk0_44))&(?[Y]: (((((r1(sk0_44,sk0_45)&~p4(sk0_45))&~p3(sk0_45))&~p2(sk0_45))&~p1(sk0_45))&(?[X]: r1(sk0_45,sk0_46)))))))&(![X]: ((~r1(sk0_43,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,sk0_47(X))&~p4(sk0_47(X)))&~p3(sk0_47(X)))&~p2(sk0_47(X)))&~p1(sk0_47(X)))&(?[X]: (((((r1(sk0_47(X),sk0_48(X))&~p4(sk0_48(X)))&~p3(sk0_48(X)))&~p2(sk0_48(X)))&~p1(sk0_48(X)))&(?[Y]: r1(sk0_48(X),sk0_49(X))))))))))))))&((p1(sk0_0)|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))|(?[Y]: (((r1(sk0_0,sk0_50)&~p1(sk0_50))&(?[X]: (((((r1(sk0_50,sk0_51)&~p4(sk0_51))&~p3(sk0_51))&~p2(sk0_51))&~p1(sk0_51))&(?[Y]: (((((r1(sk0_51,sk0_52)&~p4(sk0_52))&~p3(sk0_52))&~p2(sk0_52))&~p1(sk0_52))&(?[X]: r1(sk0_52,sk0_53)))))))&(![X]: ((~r1(sk0_50,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))))))|(~p1(X)&(?[Y]: (((((r1(X,sk0_54(X))&~p4(sk0_54(X)))&~p3(sk0_54(X)))&~p2(sk0_54(X)))&~p1(sk0_54(X)))&(?[X]: (((((r1(sk0_54(X),sk0_55(X))&~p4(sk0_55(X)))&~p3(sk0_55(X)))&~p2(sk0_55(X)))&~p1(sk0_55(X)))&(?[Y]: r1(sk0_55(X),sk0_56(X))))))))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|(?[Y]: ((((((r1(sk0_0,sk0_57)&~p4(sk0_57))&~p3(sk0_57))&~p2(sk0_57))&~p1(sk0_57))&(?[X]: (((((r1(sk0_57,sk0_58)&~p4(sk0_58))&~p3(sk0_58))&~p2(sk0_58))&~p1(sk0_58))&(?[Y]: r1(sk0_58,sk0_59)))))&(![X]: ((~r1(sk0_57,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,sk0_60(X))&~p4(sk0_60(X)))&~p3(sk0_60(X)))&~p2(sk0_60(X)))&~p1(sk0_60(X)))&(?[X]: r1(sk0_60(X),sk0_61(X))))))))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|(?[Y]: (((((r1(sk0_0,sk0_62)&~p3(sk0_62))&~p2(sk0_62))&~p1(sk0_62))&(?[X]: (((((r1(sk0_62,sk0_63)&~p4(sk0_63))&~p3(sk0_63))&~p2(sk0_63))&~p1(sk0_63))&(?[Y]: r1(sk0_63,sk0_64)))))&(![X]: ((~r1(sk0_62,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (((((r1(X,sk0_65(X))&~p4(sk0_65(X)))&~p3(sk0_65(X)))&~p2(sk0_65(X)))&~p1(sk0_65(X)))&(?[X]: r1(sk0_65(X),sk0_66(X))))))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|(?[Y]: ((((r1(sk0_0,sk0_67)&~p2(sk0_67))&~p1(sk0_67))&(?[X]: (((((r1(sk0_67,sk0_68)&~p4(sk0_68))&~p3(sk0_68))&~p2(sk0_68))&~p1(sk0_68))&(?[Y]: r1(sk0_68,sk0_69)))))&(![X]: ((~r1(sk0_67,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))|((~p2(X)&~p1(X))&(?[Y]: (((((r1(X,sk0_70(X))&~p4(sk0_70(X)))&~p3(sk0_70(X)))&~p2(sk0_70(X)))&~p1(sk0_70(X)))&(?[X]: r1(sk0_70(X),sk0_71(X))))))))))))&((p1(sk0_0)|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|(?[Y]: (((r1(sk0_0,sk0_72)&~p1(sk0_72))&(?[X]: (((((r1(sk0_72,sk0_73)&~p4(sk0_73))&~p3(sk0_73))&~p2(sk0_73))&~p1(sk0_73))&(?[Y]: r1(sk0_73,sk0_74)))))&(![X]: ((~r1(sk0_72,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: ~r1(X,Y)))))))|(~p1(X)&(?[Y]: (((((r1(X,sk0_75(X))&~p4(sk0_75(X)))&~p3(sk0_75(X)))&~p2(sk0_75(X)))&~p1(sk0_75(X)))&(?[X]: r1(sk0_75(X),sk0_76(X))))))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: ((((((r1(sk0_0,sk0_77)&~p4(sk0_77))&~p3(sk0_77))&~p2(sk0_77))&~p1(sk0_77))&(?[X]: r1(sk0_77,sk0_78)))&(![X]: ((~r1(sk0_77,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: r1(X,sk0_79(X))))))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: (((((r1(sk0_0,sk0_80)&~p3(sk0_80))&~p2(sk0_80))&~p1(sk0_80))&(?[X]: r1(sk0_80,sk0_81)))&(![X]: ((~r1(sk0_80,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: r1(X,sk0_82(X))))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: ((((r1(sk0_0,sk0_83)&~p2(sk0_83))&~p1(sk0_83))&(?[X]: r1(sk0_83,sk0_84)))&(![X]: ((~r1(sk0_83,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|((~p2(X)&~p1(X))&(?[Y]: r1(X,sk0_85(X))))))))))&((p1(sk0_0)|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: (((r1(sk0_0,sk0_86)&~p1(sk0_86))&(?[X]: r1(sk0_86,sk0_87)))&(![X]: ((~r1(sk0_86,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: ~r1(Y,X)))))|(~p1(X)&(?[Y]: r1(X,sk0_88(X))))))))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|(?[X]: ((r1(Y,sk0_89(Y))&~p2(sk0_89(Y)))&(![Y]: ((~r1(sk0_89(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 31.12/4.39 inference($true_and_$false_simplification,[status(esa)],[f11])).
% 31.12/4.39 fof(f13,plain,(
% 31.12/4.39 r1(sk0_0,sk0_1)),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f14,plain,(
% 31.12/4.39 ~p3(sk0_1)),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f15,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p3(X0)|r1(X0,sk0_2(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f16,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p3(X0)|r1(sk0_2(X0),sk0_3(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f19,plain,(
% 31.12/4.39 r1(sk0_0,sk0_4)),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f20,plain,(
% 31.12/4.39 ~p2(sk0_4)),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f21,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(X0,sk0_5(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f22,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(sk0_5(X0),sk0_6(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f23,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~p2(sk0_6(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f24,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p2(X0)|p2(sk0_5(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f25,plain,(
% 31.12/4.39 r1(sk0_0,sk0_7)),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f26,plain,(
% 31.12/4.39 ~p1(sk0_7)),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f27,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p1(X0)|r1(X0,sk0_8(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f28,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p1(X0)|r1(sk0_8(X0),sk0_9(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f31,plain,(
% 31.12/4.39 pd0_0(sk0_0)|r1(sk0_0,sk0_10)),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f32,plain,(
% 31.12/4.39 pd0_0(sk0_0)|pd0_1(sk0_10)|~p2(sk0_10)),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f33,plain,(
% 31.12/4.39 ![X0,X1]: (pd0_0(sk0_0)|pd0_1(sk0_10)|~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f34,plain,(
% 31.12/4.39 ![X0,X1]: (pd0_0(sk0_0)|~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f35,plain,(
% 31.12/4.39 ![X0,X1,X2,X3]: (pd0_0(sk0_0)|~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~r1(X0,X2)|~r1(X2,X3)|p2(X3)|~p2(X2))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f324,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(X0,sk0_89(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f325,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~p2(sk0_89(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f326,plain,(
% 31.12/4.39 ![X0,X1,X2]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_89(X0),X1)|~r1(X1,X2)|p2(X2)|~p2(X1))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f12])).
% 31.12/4.39 fof(f327,plain,(
% 31.12/4.39 ![X]: (~pd0_0(X)|(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))),
% 31.12/4.39 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 31.12/4.39 fof(f328,plain,(
% 31.12/4.39 ![X,Y]: (pd0_4(Y,X)=>((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))),
% 31.12/4.39 introduced(predicate_definition,[f327])).
% 31.12/4.39 fof(f329,plain,(
% 31.12/4.39 ![X]: (~pd0_0(X)|(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: pd0_4(Y,X))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))),
% 31.12/4.39 inference(formula_renaming,[status(thm)],[f327,f328])).
% 31.12/4.39 fof(f330,plain,(
% 31.12/4.39 ![X]: (~pd0_0(X)|(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|pd0_4(sk0_90(X,Y,X),X)))))|((r1(X,sk0_91(X))&~p2(sk0_91(X)))&(![X]: ((~r1(sk0_91(X),X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))&(p2(X)|((r1(X,sk0_92(X))&(r1(sk0_92(X),sk0_93(X))&~p2(sk0_93(X))))&p2(sk0_92(X))))))),
% 31.12/4.39 inference(skolemization,[status(esa)],[f329])).
% 31.12/4.39 fof(f331,plain,(
% 31.12/4.39 ![X0,X1,X2]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_90(X2,X1,X0),X2)|r1(X0,sk0_91(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f330])).
% 31.12/4.39 fof(f332,plain,(
% 31.12/4.39 ![X0,X1,X2]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_90(X2,X1,X0),X2)|~p2(sk0_91(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f330])).
% 31.12/4.39 fof(f333,plain,(
% 31.12/4.39 ![X0,X1,X2,X3,X4]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_90(X2,X1,X0),X2)|~r1(sk0_91(X0),X3)|~r1(X3,X4)|p2(X4)|~p2(X3))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f330])).
% 31.12/4.39 fof(f338,plain,(
% 31.12/4.39 ![Y]: (~pd0_1(Y)|((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))),
% 31.12/4.39 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 31.12/4.39 fof(f339,plain,(
% 31.12/4.39 ![Y]: (~pd0_1(Y)|((r1(Y,sk0_94(Y))&((r1(sk0_94(Y),sk0_95(Y))&~p2(sk0_95(Y)))&(![X]: ((~r1(sk0_95(Y),X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))&(![X]: ((~r1(Y,X)|p2(X))|((r1(X,sk0_96(X,Y))&(r1(sk0_96(X,Y),sk0_97(X,Y))&~p2(sk0_97(X,Y))))&p2(sk0_96(X,Y)))))))),
% 31.12/4.39 inference(skolemization,[status(esa)],[f338])).
% 31.12/4.39 fof(f340,plain,(
% 31.12/4.39 ![X0]: (~pd0_1(X0)|r1(X0,sk0_94(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f339])).
% 31.12/4.39 fof(f341,plain,(
% 31.12/4.39 ![X0]: (~pd0_1(X0)|r1(sk0_94(X0),sk0_95(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f339])).
% 31.12/4.39 fof(f342,plain,(
% 31.12/4.39 ![X0]: (~pd0_1(X0)|~p2(sk0_95(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f339])).
% 31.12/4.39 fof(f343,plain,(
% 31.12/4.39 ![X0,X1,X2]: (~pd0_1(X0)|~r1(sk0_95(X0),X1)|~r1(X1,X2)|p2(X2)|~p2(X1))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f339])).
% 31.12/4.39 fof(f344,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|r1(X1,sk0_96(X1,X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f339])).
% 31.12/4.39 fof(f345,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|r1(sk0_96(X1,X0),sk0_97(X1,X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f339])).
% 31.12/4.39 fof(f346,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|~p2(sk0_97(X1,X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f339])).
% 31.12/4.39 fof(f347,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|p2(sk0_96(X1,X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f339])).
% 31.12/4.39 fof(f348,plain,(
% 31.12/4.39 ![Y]: (~pd0_2(Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))),
% 31.12/4.39 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 31.12/4.39 fof(f349,plain,(
% 31.12/4.39 ![Y,X]: (pd0_5(X,Y)=>((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))),
% 31.12/4.39 introduced(predicate_definition,[f348])).
% 31.12/4.39 fof(f350,plain,(
% 31.12/4.39 ![Y]: (~pd0_2(Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: pd0_5(X,Y))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))),
% 31.12/4.39 inference(formula_renaming,[status(thm)],[f348,f349])).
% 31.12/4.39 fof(f351,plain,(
% 31.12/4.39 ![Y]: (~pd0_2(Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|pd0_5(sk0_98(Y,X,Y),Y)))))|((r1(Y,sk0_99(Y))&~p2(sk0_99(Y)))&(![Y]: ((~r1(sk0_99(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))&(p2(Y)|((r1(Y,sk0_100(Y))&(r1(sk0_100(Y),sk0_101(Y))&~p2(sk0_101(Y))))&p2(sk0_100(Y))))))),
% 31.12/4.39 inference(skolemization,[status(esa)],[f350])).
% 31.12/4.39 fof(f355,plain,(
% 31.12/4.39 ![X0]: (~pd0_2(X0)|p2(X0)|r1(X0,sk0_100(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f351])).
% 31.12/4.39 fof(f356,plain,(
% 31.12/4.39 ![X0]: (~pd0_2(X0)|p2(X0)|r1(sk0_100(X0),sk0_101(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f351])).
% 31.12/4.39 fof(f357,plain,(
% 31.12/4.39 ![X0]: (~pd0_2(X0)|p2(X0)|~p2(sk0_101(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f351])).
% 31.12/4.39 fof(f358,plain,(
% 31.12/4.39 ![X0]: (~pd0_2(X0)|p2(X0)|p2(sk0_100(X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f351])).
% 31.12/4.39 fof(f359,plain,(
% 31.12/4.39 ![X]: (~pd0_3(X)|((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))),
% 31.12/4.39 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 31.12/4.39 fof(f360,plain,(
% 31.12/4.39 ![X]: (~pd0_3(X)|((r1(X,sk0_102(X))&((r1(sk0_102(X),sk0_103(X))&~p2(sk0_103(X)))&(![Y]: ((~r1(sk0_103(X),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))&(![Y]: ((~r1(X,Y)|p2(Y))|((r1(Y,sk0_104(Y,X))&(r1(sk0_104(Y,X),sk0_105(Y,X))&~p2(sk0_105(Y,X))))&p2(sk0_104(Y,X)))))))),
% 31.12/4.39 inference(skolemization,[status(esa)],[f359])).
% 31.12/4.39 fof(f365,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|r1(X1,sk0_104(X1,X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f360])).
% 31.12/4.39 fof(f366,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|r1(sk0_104(X1,X0),sk0_105(X1,X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f360])).
% 31.12/4.39 fof(f367,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|~p2(sk0_105(X1,X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f360])).
% 31.12/4.39 fof(f368,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|p2(sk0_104(X1,X0)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f360])).
% 31.12/4.39 fof(f369,plain,(
% 31.12/4.39 ![X,Y]: (~pd0_4(Y,X)|((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))),
% 31.12/4.39 inference(pre_NNF_transformation,[status(esa)],[f328])).
% 31.12/4.39 fof(f370,plain,(
% 31.12/4.39 ![X,Y]: (~pd0_4(Y,X)|((r1(X,Y)&(r1(Y,sk0_106(Y,X))&~p2(sk0_106(Y,X))))&p2(Y)))),
% 31.12/4.39 inference(skolemization,[status(esa)],[f369])).
% 31.12/4.39 fof(f371,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_4(X0,X1)|r1(X1,X0))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f370])).
% 31.12/4.39 fof(f372,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_4(X0,X1)|r1(X0,sk0_106(X0,X1)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f370])).
% 31.12/4.39 fof(f373,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_4(X0,X1)|~p2(sk0_106(X0,X1)))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f370])).
% 31.12/4.39 fof(f374,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_4(X0,X1)|p2(X0))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f370])).
% 31.12/4.39 fof(f375,plain,(
% 31.12/4.39 ![Y,X]: (~pd0_5(X,Y)|((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))),
% 31.12/4.39 inference(pre_NNF_transformation,[status(esa)],[f349])).
% 31.12/4.39 fof(f376,plain,(
% 31.12/4.39 ![Y,X]: (~pd0_5(X,Y)|((r1(Y,X)&(r1(X,sk0_107(X,Y))&~p2(sk0_107(X,Y))))&p2(X)))),
% 31.12/4.39 inference(skolemization,[status(esa)],[f375])).
% 31.12/4.39 fof(f380,plain,(
% 31.12/4.39 ![X0,X1]: (~pd0_5(X0,X1)|p2(X0))),
% 31.12/4.39 inference(cnf_transformation,[status(esa)],[f376])).
% 31.12/4.39 fof(f381,plain,(
% 31.12/4.39 spl0_0 <=> pd0_0(sk0_0)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f382,plain,(
% 31.12/4.39 pd0_0(sk0_0)|~spl0_0),
% 31.12/4.39 inference(component_clause,[status(thm)],[f381])).
% 31.12/4.39 fof(f384,plain,(
% 31.12/4.39 spl0_1 <=> r1(sk0_0,sk0_10)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f385,plain,(
% 31.12/4.39 r1(sk0_0,sk0_10)|~spl0_1),
% 31.12/4.39 inference(component_clause,[status(thm)],[f384])).
% 31.12/4.39 fof(f387,plain,(
% 31.12/4.39 spl0_0|spl0_1),
% 31.12/4.39 inference(split_clause,[status(thm)],[f31,f381,f384])).
% 31.12/4.39 fof(f388,plain,(
% 31.12/4.39 spl0_2 <=> pd0_1(sk0_10)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f389,plain,(
% 31.12/4.39 pd0_1(sk0_10)|~spl0_2),
% 31.12/4.39 inference(component_clause,[status(thm)],[f388])).
% 31.12/4.39 fof(f391,plain,(
% 31.12/4.39 spl0_3 <=> p2(sk0_10)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f394,plain,(
% 31.12/4.39 spl0_0|spl0_2|~spl0_3),
% 31.12/4.39 inference(split_clause,[status(thm)],[f32,f381,f388,f391])).
% 31.12/4.39 fof(f395,plain,(
% 31.12/4.39 spl0_4 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f396,plain,(
% 31.12/4.39 ![X0,X1]: (~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_4)),
% 31.12/4.39 inference(component_clause,[status(thm)],[f395])).
% 31.12/4.39 fof(f398,plain,(
% 31.12/4.39 spl0_0|spl0_2|spl0_4),
% 31.12/4.39 inference(split_clause,[status(thm)],[f33,f381,f388,f395])).
% 31.12/4.39 fof(f399,plain,(
% 31.12/4.39 spl0_5 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f400,plain,(
% 31.12/4.39 ![X0,X1]: (~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0)|~spl0_5)),
% 31.12/4.39 inference(component_clause,[status(thm)],[f399])).
% 31.12/4.39 fof(f402,plain,(
% 31.12/4.39 spl0_0|spl0_5),
% 31.12/4.39 inference(split_clause,[status(thm)],[f34,f381,f399])).
% 31.12/4.39 fof(f403,plain,(
% 31.12/4.39 spl0_6 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~r1(X0,X2)|~r1(X2,X3)|p2(X3)|~p2(X2)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f404,plain,(
% 31.12/4.39 ![X0,X1,X2,X3]: (~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~r1(X0,X2)|~r1(X2,X3)|p2(X3)|~p2(X2)|~spl0_6)),
% 31.12/4.39 inference(component_clause,[status(thm)],[f403])).
% 31.12/4.39 fof(f406,plain,(
% 31.12/4.39 spl0_0|spl0_6),
% 31.12/4.39 inference(split_clause,[status(thm)],[f35,f381,f403])).
% 31.12/4.39 fof(f1452,plain,(
% 31.12/4.39 spl0_270 <=> ~r1(sk0_0,X0)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f1453,plain,(
% 31.12/4.39 ![X0]: (~r1(sk0_0,X0)|~spl0_270)),
% 31.12/4.39 inference(component_clause,[status(thm)],[f1452])).
% 31.12/4.39 fof(f1583,plain,(
% 31.12/4.39 spl0_303 <=> p3(sk0_1)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f1584,plain,(
% 31.12/4.39 p3(sk0_1)|~spl0_303),
% 31.12/4.39 inference(component_clause,[status(thm)],[f1583])).
% 31.12/4.39 fof(f1586,plain,(
% 31.12/4.39 spl0_304 <=> r1(sk0_1,sk0_2(sk0_1))),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.39 fof(f1587,plain,(
% 31.12/4.39 r1(sk0_1,sk0_2(sk0_1))|~spl0_304),
% 31.12/4.39 inference(component_clause,[status(thm)],[f1586])).
% 31.12/4.39 fof(f1589,plain,(
% 31.12/4.39 p3(sk0_1)|r1(sk0_1,sk0_2(sk0_1))),
% 31.12/4.39 inference(resolution,[status(thm)],[f15,f13])).
% 31.12/4.39 fof(f1590,plain,(
% 31.12/4.39 spl0_303|spl0_304),
% 31.12/4.39 inference(split_clause,[status(thm)],[f1589,f1583,f1586])).
% 31.12/4.39 fof(f1591,plain,(
% 31.12/4.39 $false|~spl0_303),
% 31.12/4.39 inference(forward_subsumption_resolution,[status(thm)],[f1584,f14])).
% 31.12/4.39 fof(f1592,plain,(
% 31.12/4.39 ~spl0_303),
% 31.12/4.39 inference(contradiction_clause,[status(thm)],[f1591])).
% 31.12/4.39 fof(f1601,plain,(
% 31.12/4.39 spl0_307 <=> p2(sk0_4)),
% 31.12/4.39 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1602,plain,(
% 31.12/4.40 p2(sk0_4)|~spl0_307),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1601])).
% 31.12/4.40 fof(f1604,plain,(
% 31.12/4.40 spl0_308 <=> r1(sk0_4,sk0_5(sk0_4))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1607,plain,(
% 31.12/4.40 p2(sk0_4)|r1(sk0_4,sk0_5(sk0_4))),
% 31.12/4.40 inference(resolution,[status(thm)],[f21,f19])).
% 31.12/4.40 fof(f1608,plain,(
% 31.12/4.40 spl0_307|spl0_308),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1607,f1601,f1604])).
% 31.12/4.40 fof(f1617,plain,(
% 31.12/4.40 $false|~spl0_307),
% 31.12/4.40 inference(forward_subsumption_resolution,[status(thm)],[f1602,f20])).
% 31.12/4.40 fof(f1618,plain,(
% 31.12/4.40 ~spl0_307),
% 31.12/4.40 inference(contradiction_clause,[status(thm)],[f1617])).
% 31.12/4.40 fof(f1635,plain,(
% 31.12/4.40 spl0_315 <=> p1(sk0_7)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1636,plain,(
% 31.12/4.40 p1(sk0_7)|~spl0_315),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1635])).
% 31.12/4.40 fof(f1638,plain,(
% 31.12/4.40 spl0_316 <=> r1(sk0_7,sk0_8(sk0_7))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1639,plain,(
% 31.12/4.40 r1(sk0_7,sk0_8(sk0_7))|~spl0_316),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1638])).
% 31.12/4.40 fof(f1641,plain,(
% 31.12/4.40 p1(sk0_7)|r1(sk0_7,sk0_8(sk0_7))),
% 31.12/4.40 inference(resolution,[status(thm)],[f27,f25])).
% 31.12/4.40 fof(f1642,plain,(
% 31.12/4.40 spl0_315|spl0_316),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1641,f1635,f1638])).
% 31.12/4.40 fof(f1659,plain,(
% 31.12/4.40 $false|~spl0_315),
% 31.12/4.40 inference(forward_subsumption_resolution,[status(thm)],[f1636,f26])).
% 31.12/4.40 fof(f1660,plain,(
% 31.12/4.40 ~spl0_315),
% 31.12/4.40 inference(contradiction_clause,[status(thm)],[f1659])).
% 31.12/4.40 fof(f1666,plain,(
% 31.12/4.40 spl0_322 <=> r1(sk0_4,sk0_89(sk0_4))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1667,plain,(
% 31.12/4.40 r1(sk0_4,sk0_89(sk0_4))|~spl0_322),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1666])).
% 31.12/4.40 fof(f1669,plain,(
% 31.12/4.40 p2(sk0_4)|r1(sk0_4,sk0_89(sk0_4))),
% 31.12/4.40 inference(resolution,[status(thm)],[f324,f19])).
% 31.12/4.40 fof(f1670,plain,(
% 31.12/4.40 spl0_307|spl0_322),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1669,f1601,f1666])).
% 31.12/4.40 fof(f1681,plain,(
% 31.12/4.40 spl0_325 <=> ~r1(sk0_89(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1682,plain,(
% 31.12/4.40 ![X0,X1]: (~r1(sk0_89(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_325)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1681])).
% 31.12/4.40 fof(f1684,plain,(
% 31.12/4.40 ![X0,X1]: (p2(sk0_4)|~r1(sk0_89(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0))),
% 31.12/4.40 inference(resolution,[status(thm)],[f326,f19])).
% 31.12/4.40 fof(f1685,plain,(
% 31.12/4.40 spl0_307|spl0_325),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1684,f1601,f1681])).
% 31.12/4.40 fof(f1697,plain,(
% 31.12/4.40 ![X0,X1]: (~pd0_4(sk0_89(X0),X1)|~r1(sk0_0,X0)|p2(X0))),
% 31.12/4.40 inference(resolution,[status(thm)],[f374,f325])).
% 31.12/4.40 fof(f1708,plain,(
% 31.12/4.40 ![X0,X1]: (~pd0_4(sk0_6(X0),X1)|~r1(sk0_0,X0)|p2(X0))),
% 31.12/4.40 inference(resolution,[status(thm)],[f374,f23])).
% 31.12/4.40 fof(f1729,plain,(
% 31.12/4.40 ![X0,X1]: (~pd0_5(sk0_89(X0),X1)|~r1(sk0_0,X0)|p2(X0))),
% 31.12/4.40 inference(resolution,[status(thm)],[f380,f325])).
% 31.12/4.40 fof(f1740,plain,(
% 31.12/4.40 ![X0,X1]: (~pd0_5(sk0_6(X0),X1)|~r1(sk0_0,X0)|p2(X0))),
% 31.12/4.40 inference(resolution,[status(thm)],[f380,f23])).
% 31.12/4.40 fof(f1788,plain,(
% 31.12/4.40 ![X0,X1,X2]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|~pd0_5(sk0_97(X1,X0),X2))),
% 31.12/4.40 inference(resolution,[status(thm)],[f346,f380])).
% 31.12/4.40 fof(f1789,plain,(
% 31.12/4.40 ![X0,X1,X2]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|~pd0_4(sk0_97(X1,X0),X2))),
% 31.12/4.40 inference(resolution,[status(thm)],[f346,f374])).
% 31.12/4.40 fof(f1798,plain,(
% 31.12/4.40 spl0_328 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_90(X1,X0,sk0_0),X1)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1799,plain,(
% 31.12/4.40 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_90(X1,X0,sk0_0),X1)|~spl0_328)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1798])).
% 31.12/4.40 fof(f1801,plain,(
% 31.12/4.40 spl0_329 <=> r1(sk0_0,sk0_91(sk0_0))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1802,plain,(
% 31.12/4.40 r1(sk0_0,sk0_91(sk0_0))|~spl0_329),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1801])).
% 31.12/4.40 fof(f1804,plain,(
% 31.12/4.40 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_90(X1,X0,sk0_0),X1)|r1(sk0_0,sk0_91(sk0_0))|~spl0_0)),
% 31.12/4.40 inference(resolution,[status(thm)],[f331,f382])).
% 31.12/4.40 fof(f1805,plain,(
% 31.12/4.40 spl0_328|spl0_329|~spl0_0),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1804,f1798,f1801,f381])).
% 31.12/4.40 fof(f1806,plain,(
% 31.12/4.40 spl0_330 <=> ~r1(sk0_91(sk0_0),X2)|~r1(X2,X3)|p2(X3)|~p2(X2)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1807,plain,(
% 31.12/4.40 ![X0,X1]: (~r1(sk0_91(sk0_0),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_330)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1806])).
% 31.12/4.40 fof(f1809,plain,(
% 31.12/4.40 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_90(X1,X0,sk0_0),X1)|~r1(sk0_91(sk0_0),X2)|~r1(X2,X3)|p2(X3)|~p2(X2)|~spl0_0)),
% 31.12/4.40 inference(resolution,[status(thm)],[f333,f382])).
% 31.12/4.40 fof(f1810,plain,(
% 31.12/4.40 spl0_328|spl0_330|~spl0_0),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1809,f1798,f1806,f381])).
% 31.12/4.40 fof(f1812,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_4,X0)|p2(X0)|pd0_4(sk0_90(X0,sk0_4,sk0_0),X0)|~spl0_328)),
% 31.12/4.40 inference(resolution,[status(thm)],[f1799,f19])).
% 31.12/4.40 fof(f1828,plain,(
% 31.12/4.40 spl0_333 <=> p2(sk0_89(sk0_4))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1829,plain,(
% 31.12/4.40 p2(sk0_89(sk0_4))|~spl0_333),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1828])).
% 31.12/4.40 fof(f1831,plain,(
% 31.12/4.40 spl0_334 <=> pd0_4(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),sk0_89(sk0_4))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1832,plain,(
% 31.12/4.40 pd0_4(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),sk0_89(sk0_4))|~spl0_334),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1831])).
% 31.12/4.40 fof(f1834,plain,(
% 31.12/4.40 p2(sk0_89(sk0_4))|pd0_4(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),sk0_89(sk0_4))|~spl0_328|~spl0_322),
% 31.12/4.40 inference(resolution,[status(thm)],[f1812,f1667])).
% 31.12/4.40 fof(f1835,plain,(
% 31.12/4.40 spl0_333|spl0_334|~spl0_328|~spl0_322),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1834,f1828,f1831,f1798,f1666])).
% 31.12/4.40 fof(f1863,plain,(
% 31.12/4.40 spl0_340 <=> ~pd0_4(sk0_89(sk0_4),X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1866,plain,(
% 31.12/4.40 ![X0]: (~pd0_4(sk0_89(sk0_4),X0)|p2(sk0_4))),
% 31.12/4.40 inference(resolution,[status(thm)],[f1697,f19])).
% 31.12/4.40 fof(f1867,plain,(
% 31.12/4.40 spl0_340|spl0_307),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1866,f1863,f1601])).
% 31.12/4.40 fof(f1882,plain,(
% 31.12/4.40 spl0_343 <=> ~pd0_4(sk0_6(sk0_4),X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1885,plain,(
% 31.12/4.40 ![X0]: (~pd0_4(sk0_6(sk0_4),X0)|p2(sk0_4))),
% 31.12/4.40 inference(resolution,[status(thm)],[f1708,f19])).
% 31.12/4.40 fof(f1886,plain,(
% 31.12/4.40 spl0_343|spl0_307),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1885,f1882,f1601])).
% 31.12/4.40 fof(f1901,plain,(
% 31.12/4.40 spl0_346 <=> ~pd0_5(sk0_89(sk0_4),X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1904,plain,(
% 31.12/4.40 ![X0]: (~pd0_5(sk0_89(sk0_4),X0)|p2(sk0_4))),
% 31.12/4.40 inference(resolution,[status(thm)],[f1729,f19])).
% 31.12/4.40 fof(f1905,plain,(
% 31.12/4.40 spl0_346|spl0_307),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1904,f1901,f1601])).
% 31.12/4.40 fof(f1920,plain,(
% 31.12/4.40 spl0_349 <=> ~pd0_5(sk0_6(sk0_4),X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1923,plain,(
% 31.12/4.40 ![X0]: (~pd0_5(sk0_6(sk0_4),X0)|p2(sk0_4))),
% 31.12/4.40 inference(resolution,[status(thm)],[f1740,f19])).
% 31.12/4.40 fof(f1924,plain,(
% 31.12/4.40 spl0_349|spl0_307),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1923,f1920,f1601])).
% 31.12/4.40 fof(f1934,plain,(
% 31.12/4.40 spl0_351 <=> r1(sk0_0,sk0_4)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1936,plain,(
% 31.12/4.40 ~r1(sk0_0,sk0_4)|spl0_351),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1934])).
% 31.12/4.40 fof(f1937,plain,(
% 31.12/4.40 ~r1(sk0_0,sk0_4)|p2(sk0_4)|~spl0_333),
% 31.12/4.40 inference(resolution,[status(thm)],[f1829,f325])).
% 31.12/4.40 fof(f1938,plain,(
% 31.12/4.40 ~spl0_351|spl0_307|~spl0_333),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1937,f1934,f1601,f1828])).
% 31.12/4.40 fof(f1939,plain,(
% 31.12/4.40 $false|spl0_351),
% 31.12/4.40 inference(forward_subsumption_resolution,[status(thm)],[f1936,f19])).
% 31.12/4.40 fof(f1940,plain,(
% 31.12/4.40 spl0_351),
% 31.12/4.40 inference(contradiction_clause,[status(thm)],[f1939])).
% 31.12/4.40 fof(f1941,plain,(
% 31.12/4.40 ![X0,X1]: (~r1(sk0_95(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_2)),
% 31.12/4.40 inference(resolution,[status(thm)],[f389,f343])).
% 31.12/4.40 fof(f1942,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_10,X0)|p2(X0)|r1(X0,sk0_96(X0,sk0_10))|~spl0_2)),
% 31.12/4.40 inference(resolution,[status(thm)],[f389,f344])).
% 31.12/4.40 fof(f1943,plain,(
% 31.12/4.40 r1(sk0_10,sk0_94(sk0_10))|~spl0_2),
% 31.12/4.40 inference(resolution,[status(thm)],[f389,f340])).
% 31.12/4.40 fof(f1964,plain,(
% 31.12/4.40 spl0_356 <=> ~r1(sk0_89(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1965,plain,(
% 31.12/4.40 ![X0,X1]: (~r1(sk0_89(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_356)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1964])).
% 31.12/4.40 fof(f1967,plain,(
% 31.12/4.40 ![X0,X1]: (p2(sk0_10)|~r1(sk0_89(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_1)),
% 31.12/4.40 inference(resolution,[status(thm)],[f385,f326])).
% 31.12/4.40 fof(f1968,plain,(
% 31.12/4.40 spl0_3|spl0_356|~spl0_1),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1967,f391,f1964,f384])).
% 31.12/4.40 fof(f1969,plain,(
% 31.12/4.40 spl0_357 <=> r1(sk0_10,sk0_89(sk0_10))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1970,plain,(
% 31.12/4.40 r1(sk0_10,sk0_89(sk0_10))|~spl0_357),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1969])).
% 31.12/4.40 fof(f1972,plain,(
% 31.12/4.40 p2(sk0_10)|r1(sk0_10,sk0_89(sk0_10))|~spl0_1),
% 31.12/4.40 inference(resolution,[status(thm)],[f385,f324])).
% 31.12/4.40 fof(f1973,plain,(
% 31.12/4.40 spl0_3|spl0_357|~spl0_1),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1972,f391,f1969,f384])).
% 31.12/4.40 fof(f1982,plain,(
% 31.12/4.40 spl0_360 <=> r1(sk0_10,sk0_5(sk0_10))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1983,plain,(
% 31.12/4.40 r1(sk0_10,sk0_5(sk0_10))|~spl0_360),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1982])).
% 31.12/4.40 fof(f1985,plain,(
% 31.12/4.40 p2(sk0_10)|r1(sk0_10,sk0_5(sk0_10))|~spl0_1),
% 31.12/4.40 inference(resolution,[status(thm)],[f385,f21])).
% 31.12/4.40 fof(f1986,plain,(
% 31.12/4.40 spl0_3|spl0_360|~spl0_1),
% 31.12/4.40 inference(split_clause,[status(thm)],[f1985,f391,f1982,f384])).
% 31.12/4.40 fof(f1995,plain,(
% 31.12/4.40 spl0_363 <=> p2(sk0_94(sk0_10))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1998,plain,(
% 31.12/4.40 spl0_364 <=> r1(sk0_94(sk0_10),sk0_96(sk0_94(sk0_10),sk0_10))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f1999,plain,(
% 31.12/4.40 r1(sk0_94(sk0_10),sk0_96(sk0_94(sk0_10),sk0_10))|~spl0_364),
% 31.12/4.40 inference(component_clause,[status(thm)],[f1998])).
% 31.12/4.40 fof(f2001,plain,(
% 31.12/4.40 p2(sk0_94(sk0_10))|r1(sk0_94(sk0_10),sk0_96(sk0_94(sk0_10),sk0_10))|~spl0_2),
% 31.12/4.40 inference(resolution,[status(thm)],[f1942,f1943])).
% 31.12/4.40 fof(f2002,plain,(
% 31.12/4.40 spl0_363|spl0_364|~spl0_2),
% 31.12/4.40 inference(split_clause,[status(thm)],[f2001,f1995,f1998,f388])).
% 31.12/4.40 fof(f2009,plain,(
% 31.12/4.40 spl0_365 <=> ~r1(sk0_94(sk0_10),X0)|pd0_2(X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2010,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_94(sk0_10),X0)|pd0_2(X0)|~spl0_365)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2009])).
% 31.12/4.40 fof(f2012,plain,(
% 31.12/4.40 spl0_366 <=> pd0_3(sk0_94(sk0_10))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2013,plain,(
% 31.12/4.40 pd0_3(sk0_94(sk0_10))|~spl0_366),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2012])).
% 31.12/4.40 fof(f2015,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_94(sk0_10),X0)|pd0_2(X0)|pd0_3(sk0_94(sk0_10))|~p2(sk0_94(sk0_10))|~spl0_5|~spl0_2)),
% 31.12/4.40 inference(resolution,[status(thm)],[f400,f1943])).
% 31.12/4.40 fof(f2016,plain,(
% 31.12/4.40 spl0_365|spl0_366|~spl0_363|~spl0_5|~spl0_2),
% 31.12/4.40 inference(split_clause,[status(thm)],[f2015,f2009,f2012,f1995,f399,f388])).
% 31.12/4.40 fof(f2068,plain,(
% 31.12/4.40 spl0_368 <=> ~r1(sk0_1,X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2069,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_1,X0)|~spl0_368)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2068])).
% 31.12/4.40 fof(f2076,plain,(
% 31.12/4.40 spl0_370 <=> ~r1(sk0_4,X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2077,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_4,X0)|~spl0_370)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2076])).
% 31.12/4.40 fof(f2084,plain,(
% 31.12/4.40 spl0_372 <=> ~r1(sk0_7,X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2085,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_7,X0)|~spl0_372)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2084])).
% 31.12/4.40 fof(f2092,plain,(
% 31.12/4.40 spl0_374 <=> ~r1(sk0_10,X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2093,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_10,X0)|~spl0_374)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2092])).
% 31.12/4.40 fof(f2101,plain,(
% 31.12/4.40 $false|~spl0_374|~spl0_2),
% 31.12/4.40 inference(backward_subsumption_resolution,[status(thm)],[f1943,f2093])).
% 31.12/4.40 fof(f2102,plain,(
% 31.12/4.40 ~spl0_374|~spl0_2),
% 31.12/4.40 inference(contradiction_clause,[status(thm)],[f2101])).
% 31.12/4.40 fof(f2103,plain,(
% 31.12/4.40 $false|~spl0_372|~spl0_316),
% 31.12/4.40 inference(backward_subsumption_resolution,[status(thm)],[f1639,f2085])).
% 31.12/4.40 fof(f2104,plain,(
% 31.12/4.40 ~spl0_372|~spl0_316),
% 31.12/4.40 inference(contradiction_clause,[status(thm)],[f2103])).
% 31.12/4.40 fof(f2105,plain,(
% 31.12/4.40 $false|~spl0_370|~spl0_322),
% 31.12/4.40 inference(backward_subsumption_resolution,[status(thm)],[f1667,f2077])).
% 31.12/4.40 fof(f2106,plain,(
% 31.12/4.40 ~spl0_370|~spl0_322),
% 31.12/4.40 inference(contradiction_clause,[status(thm)],[f2105])).
% 31.12/4.40 fof(f2107,plain,(
% 31.12/4.40 $false|~spl0_368|~spl0_304),
% 31.12/4.40 inference(backward_subsumption_resolution,[status(thm)],[f1587,f2069])).
% 31.12/4.40 fof(f2108,plain,(
% 31.12/4.40 ~spl0_368|~spl0_304),
% 31.12/4.40 inference(contradiction_clause,[status(thm)],[f2107])).
% 31.12/4.40 fof(f2160,plain,(
% 31.12/4.40 spl0_382 <=> ~r1(sk0_94(sk0_10),X0)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2161,plain,(
% 31.12/4.40 ![X0]: (~r1(sk0_94(sk0_10),X0)|~spl0_382)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2160])).
% 31.12/4.40 fof(f2169,plain,(
% 31.12/4.40 spl0_383 <=> pd0_2(sk0_95(sk0_10))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2170,plain,(
% 31.12/4.40 pd0_2(sk0_95(sk0_10))|~spl0_383),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2169])).
% 31.12/4.40 fof(f2172,plain,(
% 31.12/4.40 pd0_2(sk0_95(sk0_10))|~pd0_1(sk0_10)|~spl0_365),
% 31.12/4.40 inference(resolution,[status(thm)],[f2010,f341])).
% 31.12/4.40 fof(f2173,plain,(
% 31.12/4.40 spl0_383|~spl0_2|~spl0_365),
% 31.12/4.40 inference(split_clause,[status(thm)],[f2172,f2169,f388,f2009])).
% 31.12/4.40 fof(f2176,plain,(
% 31.12/4.40 spl0_384 <=> ~r1(sk0_94(sk0_10),X1)|~r1(X1,X2)|p2(X2)|~p2(X1)),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2177,plain,(
% 31.12/4.40 ![X0,X1]: (~r1(sk0_94(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_384)),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2176])).
% 31.12/4.40 fof(f2179,plain,(
% 31.12/4.40 ![X0,X1,X2]: (~r1(sk0_94(sk0_10),X0)|pd0_2(X0)|pd0_3(sk0_94(sk0_10))|~r1(sk0_94(sk0_10),X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~spl0_6|~spl0_2)),
% 31.12/4.40 inference(resolution,[status(thm)],[f404,f1943])).
% 31.12/4.40 fof(f2180,plain,(
% 31.12/4.40 spl0_365|spl0_366|spl0_384|~spl0_6|~spl0_2),
% 31.12/4.40 inference(split_clause,[status(thm)],[f2179,f2009,f2012,f2176,f403,f388])).
% 31.12/4.40 fof(f2199,plain,(
% 31.12/4.40 spl0_388 <=> p2(sk0_95(sk0_10))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2200,plain,(
% 31.12/4.40 p2(sk0_95(sk0_10))|~spl0_388),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2199])).
% 31.12/4.40 fof(f2202,plain,(
% 31.12/4.40 spl0_389 <=> r1(sk0_95(sk0_10),sk0_100(sk0_95(sk0_10)))),
% 31.12/4.40 introduced(split_symbol_definition)).
% 31.12/4.40 fof(f2203,plain,(
% 31.12/4.40 r1(sk0_95(sk0_10),sk0_100(sk0_95(sk0_10)))|~spl0_389),
% 31.12/4.40 inference(component_clause,[status(thm)],[f2202])).
% 31.12/4.40 fof(f2205,plain,(
% 31.12/4.40 p2(sk0_95(sk0_10))|r1(sk0_95(sk0_10),sk0_100(sk0_95(sk0_10)))|~spl0_383),
% 31.12/4.40 inference(resolution,[status(thm)],[f2170,f355])).
% 31.12/4.40 fof(f2206,plain,(
% 31.12/4.40 spl0_388|spl0_389|~spl0_383),
% 31.12/4.40 inference(split_clause,[status(thm)],[f2205,f2199,f2202,f2169])).
% 31.12/4.40 fof(f2207,plain,(
% 31.12/4.40 ~pd0_1(sk0_10)|~spl0_388),
% 31.12/4.40 inference(resolution,[status(thm)],[f2200,f342])).
% 31.12/4.41 fof(f2208,plain,(
% 31.12/4.41 $false|~spl0_2|~spl0_388),
% 31.12/4.41 inference(forward_subsumption_resolution,[status(thm)],[f2207,f389])).
% 31.12/4.41 fof(f2209,plain,(
% 31.12/4.41 ~spl0_2|~spl0_388),
% 31.12/4.41 inference(contradiction_clause,[status(thm)],[f2208])).
% 31.12/4.41 fof(f2254,plain,(
% 31.12/4.41 ![X0,X1]: (~r1(sk0_10,X0)|p2(X0)|~pd0_5(sk0_97(X0,sk0_10),X1)|~spl0_2)),
% 31.12/4.41 inference(resolution,[status(thm)],[f1788,f389])).
% 31.12/4.41 fof(f2255,plain,(
% 31.12/4.41 spl0_390 <=> ~pd0_5(sk0_97(sk0_94(sk0_10),sk0_10),X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f2258,plain,(
% 31.12/4.41 ![X0]: (p2(sk0_94(sk0_10))|~pd0_5(sk0_97(sk0_94(sk0_10),sk0_10),X0)|~spl0_2)),
% 31.12/4.41 inference(resolution,[status(thm)],[f2254,f1943])).
% 31.12/4.41 fof(f2259,plain,(
% 31.12/4.41 spl0_363|spl0_390|~spl0_2),
% 31.12/4.41 inference(split_clause,[status(thm)],[f2258,f1995,f2255,f388])).
% 31.12/4.41 fof(f2264,plain,(
% 31.12/4.41 ![X0,X1]: (~r1(sk0_10,X0)|p2(X0)|~pd0_4(sk0_97(X0,sk0_10),X1)|~spl0_2)),
% 31.12/4.41 inference(resolution,[status(thm)],[f1789,f389])).
% 31.12/4.41 fof(f2265,plain,(
% 31.12/4.41 spl0_391 <=> ~pd0_4(sk0_97(sk0_94(sk0_10),sk0_10),X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f2268,plain,(
% 31.12/4.41 ![X0]: (p2(sk0_94(sk0_10))|~pd0_4(sk0_97(sk0_94(sk0_10),sk0_10),X0)|~spl0_2)),
% 31.12/4.41 inference(resolution,[status(thm)],[f2264,f1943])).
% 31.12/4.41 fof(f2269,plain,(
% 31.12/4.41 spl0_363|spl0_391|~spl0_2),
% 31.12/4.41 inference(split_clause,[status(thm)],[f2268,f1995,f2265,f388])).
% 31.12/4.41 fof(f2373,plain,(
% 31.12/4.41 spl0_397 <=> ~r1(sk0_100(sk0_95(sk0_10)),X0)|p2(X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f2374,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_100(sk0_95(sk0_10)),X0)|p2(X0)|~spl0_397)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f2373])).
% 31.12/4.41 fof(f2376,plain,(
% 31.12/4.41 spl0_398 <=> p2(sk0_100(sk0_95(sk0_10)))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f2378,plain,(
% 31.12/4.41 ~p2(sk0_100(sk0_95(sk0_10)))|spl0_398),
% 31.12/4.41 inference(component_clause,[status(thm)],[f2376])).
% 31.12/4.41 fof(f2379,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_100(sk0_95(sk0_10)),X0)|p2(X0)|~p2(sk0_100(sk0_95(sk0_10)))|~spl0_2|~spl0_389)),
% 31.12/4.41 inference(resolution,[status(thm)],[f1941,f2203])).
% 31.12/4.41 fof(f2380,plain,(
% 31.12/4.41 spl0_397|~spl0_398|~spl0_2|~spl0_389),
% 31.12/4.41 inference(split_clause,[status(thm)],[f2379,f2373,f2376,f388,f2202])).
% 31.12/4.41 fof(f2383,plain,(
% 31.12/4.41 ~pd0_2(sk0_95(sk0_10))|p2(sk0_95(sk0_10))|spl0_398),
% 31.12/4.41 inference(resolution,[status(thm)],[f2378,f358])).
% 31.12/4.41 fof(f2384,plain,(
% 31.12/4.41 ~spl0_383|spl0_388|spl0_398),
% 31.12/4.41 inference(split_clause,[status(thm)],[f2383,f2169,f2199,f2376])).
% 31.12/4.41 fof(f2412,plain,(
% 31.12/4.41 spl0_400 <=> p2(sk0_101(sk0_95(sk0_10)))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f2413,plain,(
% 31.12/4.41 p2(sk0_101(sk0_95(sk0_10)))|~spl0_400),
% 31.12/4.41 inference(component_clause,[status(thm)],[f2412])).
% 31.12/4.41 fof(f2415,plain,(
% 31.12/4.41 p2(sk0_101(sk0_95(sk0_10)))|~pd0_2(sk0_95(sk0_10))|p2(sk0_95(sk0_10))|~spl0_397),
% 31.12/4.41 inference(resolution,[status(thm)],[f2374,f356])).
% 31.12/4.41 fof(f2416,plain,(
% 31.12/4.41 spl0_400|~spl0_383|spl0_388|~spl0_397),
% 31.12/4.41 inference(split_clause,[status(thm)],[f2415,f2412,f2169,f2199,f2373])).
% 31.12/4.41 fof(f3185,plain,(
% 31.12/4.41 spl0_557 <=> p2(sk0_5(sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f3187,plain,(
% 31.12/4.41 ~p2(sk0_5(sk0_10))|spl0_557),
% 31.12/4.41 inference(component_clause,[status(thm)],[f3185])).
% 31.12/4.41 fof(f3247,plain,(
% 31.12/4.41 spl0_571 <=> p2(sk0_89(sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f3248,plain,(
% 31.12/4.41 p2(sk0_89(sk0_10))|~spl0_571),
% 31.12/4.41 inference(component_clause,[status(thm)],[f3247])).
% 31.12/4.41 fof(f3270,plain,(
% 31.12/4.41 spl0_576 <=> r1(sk0_89(sk0_10),sk0_96(sk0_89(sk0_10),sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f3271,plain,(
% 31.12/4.41 r1(sk0_89(sk0_10),sk0_96(sk0_89(sk0_10),sk0_10))|~spl0_576),
% 31.12/4.41 inference(component_clause,[status(thm)],[f3270])).
% 31.12/4.41 fof(f3273,plain,(
% 31.12/4.41 p2(sk0_89(sk0_10))|r1(sk0_89(sk0_10),sk0_96(sk0_89(sk0_10),sk0_10))|~spl0_357|~spl0_2),
% 31.12/4.41 inference(resolution,[status(thm)],[f1970,f1942])).
% 31.12/4.41 fof(f3274,plain,(
% 31.12/4.41 spl0_571|spl0_576|~spl0_357|~spl0_2),
% 31.12/4.41 inference(split_clause,[status(thm)],[f3273,f3247,f3270,f1969,f388])).
% 31.12/4.41 fof(f3278,plain,(
% 31.12/4.41 spl0_578 <=> p2(sk0_91(sk0_0))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f3279,plain,(
% 31.12/4.41 p2(sk0_91(sk0_0))|~spl0_578),
% 31.12/4.41 inference(component_clause,[status(thm)],[f3278])).
% 31.12/4.41 fof(f3311,plain,(
% 31.12/4.41 spl0_585 <=> r1(sk0_91(sk0_0),sk0_5(sk0_91(sk0_0)))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f3312,plain,(
% 31.12/4.41 r1(sk0_91(sk0_0),sk0_5(sk0_91(sk0_0)))|~spl0_585),
% 31.12/4.41 inference(component_clause,[status(thm)],[f3311])).
% 31.12/4.41 fof(f3314,plain,(
% 31.12/4.41 p2(sk0_91(sk0_0))|r1(sk0_91(sk0_0),sk0_5(sk0_91(sk0_0)))|~spl0_329),
% 31.12/4.41 inference(resolution,[status(thm)],[f1802,f21])).
% 31.12/4.41 fof(f3315,plain,(
% 31.12/4.41 spl0_578|spl0_585|~spl0_329),
% 31.12/4.41 inference(split_clause,[status(thm)],[f3314,f3278,f3311,f1801])).
% 31.12/4.41 fof(f3707,plain,(
% 31.12/4.41 spl0_666 <=> ~r1(sk0_94(sk0_10),X0)|p2(X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f3708,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_94(sk0_10),X0)|p2(X0)|~spl0_666)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f3707])).
% 31.12/4.41 fof(f3710,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_94(sk0_10),X0)|p2(X0)|~p2(sk0_94(sk0_10))|~spl0_4|~spl0_2)),
% 31.12/4.41 inference(resolution,[status(thm)],[f396,f1943])).
% 31.12/4.41 fof(f3711,plain,(
% 31.12/4.41 spl0_666|~spl0_363|~spl0_4|~spl0_2),
% 31.12/4.41 inference(split_clause,[status(thm)],[f3710,f3707,f1995,f395,f388])).
% 31.12/4.41 fof(f3717,plain,(
% 31.12/4.41 p2(sk0_95(sk0_10))|~pd0_1(sk0_10)|~spl0_666),
% 31.12/4.41 inference(resolution,[status(thm)],[f3708,f341])).
% 31.12/4.41 fof(f3718,plain,(
% 31.12/4.41 spl0_388|~spl0_2|~spl0_666),
% 31.12/4.41 inference(split_clause,[status(thm)],[f3717,f2199,f388,f3707])).
% 31.12/4.41 fof(f3882,plain,(
% 31.12/4.41 spl0_689 <=> p2(sk0_6(sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f3883,plain,(
% 31.12/4.41 p2(sk0_6(sk0_10))|~spl0_689),
% 31.12/4.41 inference(component_clause,[status(thm)],[f3882])).
% 31.12/4.41 fof(f3975,plain,(
% 31.12/4.41 spl0_712 <=> ~r1(sk0_8(sk0_7),X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f3976,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_8(sk0_7),X0)|~spl0_712)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f3975])).
% 31.12/4.41 fof(f4027,plain,(
% 31.12/4.41 spl0_726 <=> ~r1(sk0_5(sk0_4),X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f4028,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_5(sk0_4),X0)|~spl0_726)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f4027])).
% 31.12/4.41 fof(f4108,plain,(
% 31.12/4.41 spl0_749 <=> ~r1(sk0_2(sk0_1),X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f4109,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_2(sk0_1),X0)|~spl0_749)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f4108])).
% 31.12/4.41 fof(f4279,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_571),
% 31.12/4.41 inference(resolution,[status(thm)],[f3248,f325])).
% 31.12/4.41 fof(f4280,plain,(
% 31.12/4.41 ~spl0_1|spl0_3|~spl0_571),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4279,f384,f391,f3247])).
% 31.12/4.41 fof(f4281,plain,(
% 31.12/4.41 ![X0,X1]: (~pd0_0(sk0_0)|~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_90(X1,X0,sk0_0),X1)|~spl0_578)),
% 31.12/4.41 inference(resolution,[status(thm)],[f3279,f332])).
% 31.12/4.41 fof(f4282,plain,(
% 31.12/4.41 ~spl0_0|spl0_328|~spl0_578),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4281,f381,f1798,f3278])).
% 31.12/4.41 fof(f4483,plain,(
% 31.12/4.41 spl0_811 <=> r1(sk0_0,sk0_7)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f4485,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_7)|spl0_811),
% 31.12/4.41 inference(component_clause,[status(thm)],[f4483])).
% 31.12/4.41 fof(f4488,plain,(
% 31.12/4.41 $false|spl0_811),
% 31.12/4.41 inference(forward_subsumption_resolution,[status(thm)],[f4485,f25])).
% 31.12/4.41 fof(f4489,plain,(
% 31.12/4.41 spl0_811),
% 31.12/4.41 inference(contradiction_clause,[status(thm)],[f4488])).
% 31.12/4.41 fof(f4492,plain,(
% 31.12/4.41 spl0_812 <=> r1(sk0_0,sk0_1)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f4494,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_1)|spl0_812),
% 31.12/4.41 inference(component_clause,[status(thm)],[f4492])).
% 31.12/4.41 fof(f4497,plain,(
% 31.12/4.41 $false|spl0_812),
% 31.12/4.41 inference(forward_subsumption_resolution,[status(thm)],[f4494,f13])).
% 31.12/4.41 fof(f4498,plain,(
% 31.12/4.41 spl0_812),
% 31.12/4.41 inference(contradiction_clause,[status(thm)],[f4497])).
% 31.12/4.41 fof(f4570,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_689),
% 31.12/4.41 inference(resolution,[status(thm)],[f3883,f23])).
% 31.12/4.41 fof(f4571,plain,(
% 31.12/4.41 ~spl0_1|spl0_3|~spl0_689),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4570,f384,f391,f3882])).
% 31.12/4.41 fof(f4663,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_7)|p1(sk0_7)|~spl0_712),
% 31.12/4.41 inference(resolution,[status(thm)],[f3976,f28])).
% 31.12/4.41 fof(f4664,plain,(
% 31.12/4.41 ~spl0_811|spl0_315|~spl0_712),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4663,f4483,f1635,f3975])).
% 31.12/4.41 fof(f4677,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_4)|p2(sk0_4)|~spl0_726),
% 31.12/4.41 inference(resolution,[status(thm)],[f4028,f22])).
% 31.12/4.41 fof(f4678,plain,(
% 31.12/4.41 ~spl0_351|spl0_307|~spl0_726),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4677,f1934,f1601,f4027])).
% 31.12/4.41 fof(f4689,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_1)|p3(sk0_1)|~spl0_749),
% 31.12/4.41 inference(resolution,[status(thm)],[f4109,f16])).
% 31.12/4.41 fof(f4690,plain,(
% 31.12/4.41 ~spl0_812|spl0_303|~spl0_749),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4689,f4492,f1583,f4108])).
% 31.12/4.41 fof(f4778,plain,(
% 31.12/4.41 ~pd0_2(sk0_95(sk0_10))|p2(sk0_95(sk0_10))|~spl0_400),
% 31.12/4.41 inference(resolution,[status(thm)],[f2413,f357])).
% 31.12/4.41 fof(f4779,plain,(
% 31.12/4.41 ~spl0_383|spl0_388|~spl0_400),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4778,f2169,f2199,f2412])).
% 31.12/4.41 fof(f4938,plain,(
% 31.12/4.41 spl0_885 <=> ~r1(sk0_5(sk0_91(sk0_0)),X0)|p2(X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f4939,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_5(sk0_91(sk0_0)),X0)|p2(X0)|~spl0_885)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f4938])).
% 31.12/4.41 fof(f4941,plain,(
% 31.12/4.41 spl0_886 <=> p2(sk0_5(sk0_91(sk0_0)))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f4943,plain,(
% 31.12/4.41 ~p2(sk0_5(sk0_91(sk0_0)))|spl0_886),
% 31.12/4.41 inference(component_clause,[status(thm)],[f4941])).
% 31.12/4.41 fof(f4944,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_5(sk0_91(sk0_0)),X0)|p2(X0)|~p2(sk0_5(sk0_91(sk0_0)))|~spl0_585|~spl0_330)),
% 31.12/4.41 inference(resolution,[status(thm)],[f3312,f1807])).
% 31.12/4.41 fof(f4945,plain,(
% 31.12/4.41 spl0_885|~spl0_886|~spl0_585|~spl0_330),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4944,f4938,f4941,f3311,f1806])).
% 31.12/4.41 fof(f4946,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_91(sk0_0))|p2(sk0_91(sk0_0))|spl0_886),
% 31.12/4.41 inference(resolution,[status(thm)],[f4943,f24])).
% 31.12/4.41 fof(f4947,plain,(
% 31.12/4.41 ~spl0_329|spl0_578|spl0_886),
% 31.12/4.41 inference(split_clause,[status(thm)],[f4946,f1801,f3278,f4941])).
% 31.12/4.41 fof(f5515,plain,(
% 31.12/4.41 spl0_995 <=> p2(sk0_6(sk0_91(sk0_0)))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f5516,plain,(
% 31.12/4.41 p2(sk0_6(sk0_91(sk0_0)))|~spl0_995),
% 31.12/4.41 inference(component_clause,[status(thm)],[f5515])).
% 31.12/4.41 fof(f5518,plain,(
% 31.12/4.41 p2(sk0_6(sk0_91(sk0_0)))|~r1(sk0_0,sk0_91(sk0_0))|p2(sk0_91(sk0_0))|~spl0_885),
% 31.12/4.41 inference(resolution,[status(thm)],[f4939,f22])).
% 31.12/4.41 fof(f5519,plain,(
% 31.12/4.41 spl0_995|~spl0_329|spl0_578|~spl0_885),
% 31.12/4.41 inference(split_clause,[status(thm)],[f5518,f5515,f1801,f3278,f4938])).
% 31.12/4.41 fof(f5524,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_91(sk0_0))|p2(sk0_91(sk0_0))|~spl0_995),
% 31.12/4.41 inference(resolution,[status(thm)],[f5516,f23])).
% 31.12/4.41 fof(f5525,plain,(
% 31.12/4.41 ~spl0_329|spl0_578|~spl0_995),
% 31.12/4.41 inference(split_clause,[status(thm)],[f5524,f1801,f3278,f5515])).
% 31.12/4.41 fof(f5605,plain,(
% 31.12/4.41 spl0_1007 <=> ~r1(sk0_96(sk0_89(sk0_10),sk0_10),X0)|p2(X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f5606,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_96(sk0_89(sk0_10),sk0_10),X0)|p2(X0)|~spl0_1007)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f5605])).
% 31.12/4.41 fof(f5608,plain,(
% 31.12/4.41 spl0_1008 <=> p2(sk0_96(sk0_89(sk0_10),sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f5610,plain,(
% 31.12/4.41 ~p2(sk0_96(sk0_89(sk0_10),sk0_10))|spl0_1008),
% 31.12/4.41 inference(component_clause,[status(thm)],[f5608])).
% 31.12/4.41 fof(f5611,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_96(sk0_89(sk0_10),sk0_10),X0)|p2(X0)|~p2(sk0_96(sk0_89(sk0_10),sk0_10))|~spl0_576|~spl0_356)),
% 31.12/4.41 inference(resolution,[status(thm)],[f3271,f1965])).
% 31.12/4.41 fof(f5612,plain,(
% 31.12/4.41 spl0_1007|~spl0_1008|~spl0_576|~spl0_356),
% 31.12/4.41 inference(split_clause,[status(thm)],[f5611,f5605,f5608,f3270,f1964])).
% 31.12/4.41 fof(f5613,plain,(
% 31.12/4.41 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_89(sk0_10))|p2(sk0_89(sk0_10))|spl0_1008),
% 31.12/4.41 inference(resolution,[status(thm)],[f5610,f347])).
% 31.12/4.41 fof(f5614,plain,(
% 31.12/4.41 ~spl0_2|~spl0_357|spl0_571|spl0_1008),
% 31.12/4.41 inference(split_clause,[status(thm)],[f5613,f388,f1969,f3247,f5608])).
% 31.12/4.41 fof(f5617,plain,(
% 31.12/4.41 spl0_1009 <=> p2(sk0_97(sk0_89(sk0_10),sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f5618,plain,(
% 31.12/4.41 p2(sk0_97(sk0_89(sk0_10),sk0_10))|~spl0_1009),
% 31.12/4.41 inference(component_clause,[status(thm)],[f5617])).
% 31.12/4.41 fof(f5620,plain,(
% 31.12/4.41 p2(sk0_97(sk0_89(sk0_10),sk0_10))|~pd0_1(sk0_10)|~r1(sk0_10,sk0_89(sk0_10))|p2(sk0_89(sk0_10))|~spl0_1007),
% 31.12/4.41 inference(resolution,[status(thm)],[f5606,f345])).
% 31.12/4.41 fof(f5621,plain,(
% 31.12/4.41 spl0_1009|~spl0_2|~spl0_357|spl0_571|~spl0_1007),
% 31.12/4.41 inference(split_clause,[status(thm)],[f5620,f5617,f388,f1969,f3247,f5605])).
% 31.12/4.41 fof(f5626,plain,(
% 31.12/4.41 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_89(sk0_10))|p2(sk0_89(sk0_10))|~spl0_1009),
% 31.12/4.41 inference(resolution,[status(thm)],[f5618,f346])).
% 31.12/4.41 fof(f5627,plain,(
% 31.12/4.41 ~spl0_2|~spl0_357|spl0_571|~spl0_1009),
% 31.12/4.41 inference(split_clause,[status(thm)],[f5626,f388,f1969,f3247,f5617])).
% 31.12/4.41 fof(f5628,plain,(
% 31.12/4.41 r1(sk0_89(sk0_4),sk0_90(sk0_89(sk0_4),sk0_4,sk0_0))|~spl0_334),
% 31.12/4.41 inference(resolution,[status(thm)],[f1832,f371])).
% 31.12/4.41 fof(f5631,plain,(
% 31.12/4.41 spl0_1010 <=> ~r1(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),X0)|p2(X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f5632,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),X0)|p2(X0)|~spl0_1010)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f5631])).
% 31.12/4.41 fof(f5634,plain,(
% 31.12/4.41 spl0_1011 <=> p2(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f5636,plain,(
% 31.12/4.41 ~p2(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0))|spl0_1011),
% 31.12/4.41 inference(component_clause,[status(thm)],[f5634])).
% 31.12/4.41 fof(f5637,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),X0)|p2(X0)|~p2(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0))|~spl0_325|~spl0_334)),
% 31.12/4.41 inference(resolution,[status(thm)],[f1682,f5628])).
% 31.12/4.41 fof(f5638,plain,(
% 31.12/4.41 spl0_1010|~spl0_1011|~spl0_325|~spl0_334),
% 31.12/4.41 inference(split_clause,[status(thm)],[f5637,f5631,f5634,f1681,f1831])).
% 31.12/4.41 fof(f5641,plain,(
% 31.12/4.41 $false|~spl0_382|~spl0_364),
% 31.12/4.41 inference(backward_subsumption_resolution,[status(thm)],[f1999,f2161])).
% 31.12/4.41 fof(f5642,plain,(
% 31.12/4.41 ~spl0_382|~spl0_364),
% 31.12/4.41 inference(contradiction_clause,[status(thm)],[f5641])).
% 31.12/4.41 fof(f5671,plain,(
% 31.12/4.41 $false|~spl0_270),
% 31.12/4.41 inference(backward_subsumption_resolution,[status(thm)],[f25,f1453])).
% 31.12/4.41 fof(f5672,plain,(
% 31.12/4.41 ~spl0_270),
% 31.12/4.41 inference(contradiction_clause,[status(thm)],[f5671])).
% 31.12/4.41 fof(f5793,plain,(
% 31.12/4.41 ![X0]: (~pd0_4(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),X0)|spl0_1011)),
% 31.12/4.41 inference(resolution,[status(thm)],[f5636,f374])).
% 31.12/4.41 fof(f5794,plain,(
% 31.12/4.41 $false|spl0_1011|~spl0_334),
% 31.12/4.41 inference(backward_subsumption_resolution,[status(thm)],[f1832,f5793])).
% 31.12/4.41 fof(f5795,plain,(
% 31.12/4.41 spl0_1011|~spl0_334),
% 31.12/4.41 inference(contradiction_clause,[status(thm)],[f5794])).
% 31.12/4.41 fof(f5872,plain,(
% 31.12/4.41 spl0_1034 <=> p2(sk0_96(sk0_94(sk0_10),sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f5874,plain,(
% 31.12/4.41 ~p2(sk0_96(sk0_94(sk0_10),sk0_10))|spl0_1034),
% 31.12/4.41 inference(component_clause,[status(thm)],[f5872])).
% 31.12/4.41 fof(f5969,plain,(
% 31.12/4.41 ![X0]: (p2(sk0_106(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),X0))|~pd0_4(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),X0)|~spl0_1010)),
% 31.12/4.41 inference(resolution,[status(thm)],[f5632,f372])).
% 31.12/4.41 fof(f5970,plain,(
% 31.12/4.41 ![X0]: (~pd0_4(sk0_90(sk0_89(sk0_4),sk0_4,sk0_0),X0)|~spl0_1010)),
% 31.12/4.41 inference(forward_subsumption_resolution,[status(thm)],[f5969,f373])).
% 31.12/4.41 fof(f5971,plain,(
% 31.12/4.41 $false|~spl0_1010|~spl0_334),
% 31.12/4.41 inference(backward_subsumption_resolution,[status(thm)],[f1832,f5970])).
% 31.12/4.41 fof(f5972,plain,(
% 31.12/4.41 ~spl0_1010|~spl0_334),
% 31.12/4.41 inference(contradiction_clause,[status(thm)],[f5971])).
% 31.12/4.41 fof(f5975,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_94(sk0_10),X0)|p2(X0)|r1(X0,sk0_104(X0,sk0_94(sk0_10)))|~spl0_366)),
% 31.12/4.41 inference(resolution,[status(thm)],[f2013,f365])).
% 31.12/4.41 fof(f6833,plain,(
% 31.12/4.41 spl0_1132 <=> r1(sk0_95(sk0_10),sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f6834,plain,(
% 31.12/4.41 r1(sk0_95(sk0_10),sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)))|~spl0_1132),
% 31.12/4.41 inference(component_clause,[status(thm)],[f6833])).
% 31.12/4.41 fof(f6836,plain,(
% 31.12/4.41 p2(sk0_95(sk0_10))|r1(sk0_95(sk0_10),sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)))|~pd0_1(sk0_10)|~spl0_366),
% 31.12/4.41 inference(resolution,[status(thm)],[f5975,f341])).
% 31.12/4.41 fof(f6837,plain,(
% 31.12/4.41 spl0_388|spl0_1132|~spl0_2|~spl0_366),
% 31.12/4.41 inference(split_clause,[status(thm)],[f6836,f2199,f6833,f388,f2012])).
% 31.12/4.41 fof(f6936,plain,(
% 31.12/4.41 spl0_1153 <=> ~r1(sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)),X0)|p2(X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f6937,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)),X0)|p2(X0)|~spl0_1153)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f6936])).
% 31.12/4.41 fof(f6939,plain,(
% 31.12/4.41 spl0_1154 <=> p2(sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f6941,plain,(
% 31.12/4.41 ~p2(sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)))|spl0_1154),
% 31.12/4.41 inference(component_clause,[status(thm)],[f6939])).
% 31.12/4.41 fof(f6942,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)),X0)|p2(X0)|~p2(sk0_104(sk0_95(sk0_10),sk0_94(sk0_10)))|~spl0_1132|~spl0_2)),
% 31.12/4.41 inference(resolution,[status(thm)],[f6834,f1941])).
% 31.12/4.41 fof(f6943,plain,(
% 31.12/4.41 spl0_1153|~spl0_1154|~spl0_1132|~spl0_2),
% 31.12/4.41 inference(split_clause,[status(thm)],[f6942,f6936,f6939,f6833,f388])).
% 31.12/4.41 fof(f6944,plain,(
% 31.12/4.41 spl0_1155 <=> r1(sk0_94(sk0_10),sk0_95(sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f6946,plain,(
% 31.12/4.41 ~r1(sk0_94(sk0_10),sk0_95(sk0_10))|spl0_1155),
% 31.12/4.41 inference(component_clause,[status(thm)],[f6944])).
% 31.12/4.41 fof(f6947,plain,(
% 31.12/4.41 ~pd0_3(sk0_94(sk0_10))|~r1(sk0_94(sk0_10),sk0_95(sk0_10))|p2(sk0_95(sk0_10))|spl0_1154),
% 31.12/4.41 inference(resolution,[status(thm)],[f6941,f368])).
% 31.12/4.41 fof(f6948,plain,(
% 31.12/4.41 ~spl0_366|~spl0_1155|spl0_388|spl0_1154),
% 31.12/4.41 inference(split_clause,[status(thm)],[f6947,f2012,f6944,f2199,f6939])).
% 31.12/4.41 fof(f6951,plain,(
% 31.12/4.41 ~pd0_1(sk0_10)|spl0_1155),
% 31.12/4.41 inference(resolution,[status(thm)],[f6946,f341])).
% 31.12/4.41 fof(f6952,plain,(
% 31.12/4.41 ~spl0_2|spl0_1155),
% 31.12/4.41 inference(split_clause,[status(thm)],[f6951,f388,f6944])).
% 31.12/4.41 fof(f7027,plain,(
% 31.12/4.41 spl0_1172 <=> ~r1(sk0_96(sk0_94(sk0_10),sk0_10),X0)|p2(X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f7028,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_96(sk0_94(sk0_10),sk0_10),X0)|p2(X0)|~spl0_1172)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f7027])).
% 31.12/4.41 fof(f7030,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_96(sk0_94(sk0_10),sk0_10),X0)|p2(X0)|~p2(sk0_96(sk0_94(sk0_10),sk0_10))|~spl0_384|~spl0_364)),
% 31.12/4.41 inference(resolution,[status(thm)],[f2177,f1999])).
% 31.12/4.41 fof(f7031,plain,(
% 31.12/4.41 spl0_1172|~spl0_1034|~spl0_384|~spl0_364),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7030,f7027,f5872,f2176,f1998])).
% 31.12/4.41 fof(f7047,plain,(
% 31.12/4.41 spl0_1173 <=> r1(sk0_10,sk0_94(sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f7049,plain,(
% 31.12/4.41 ~r1(sk0_10,sk0_94(sk0_10))|spl0_1173),
% 31.12/4.41 inference(component_clause,[status(thm)],[f7047])).
% 31.12/4.41 fof(f7050,plain,(
% 31.12/4.41 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_94(sk0_10))|p2(sk0_94(sk0_10))|spl0_1034),
% 31.12/4.41 inference(resolution,[status(thm)],[f5874,f347])).
% 31.12/4.41 fof(f7051,plain,(
% 31.12/4.41 ~spl0_2|~spl0_1173|spl0_363|spl0_1034),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7050,f388,f7047,f1995,f5872])).
% 31.12/4.41 fof(f7054,plain,(
% 31.12/4.41 $false|~spl0_2|spl0_1173),
% 31.12/4.41 inference(forward_subsumption_resolution,[status(thm)],[f7049,f1943])).
% 31.12/4.41 fof(f7055,plain,(
% 31.12/4.41 ~spl0_2|spl0_1173),
% 31.12/4.41 inference(contradiction_clause,[status(thm)],[f7054])).
% 31.12/4.41 fof(f7065,plain,(
% 31.12/4.41 spl0_1174 <=> p2(sk0_97(sk0_94(sk0_10),sk0_10))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f7066,plain,(
% 31.12/4.41 p2(sk0_97(sk0_94(sk0_10),sk0_10))|~spl0_1174),
% 31.12/4.41 inference(component_clause,[status(thm)],[f7065])).
% 31.12/4.41 fof(f7068,plain,(
% 31.12/4.41 p2(sk0_97(sk0_94(sk0_10),sk0_10))|~pd0_1(sk0_10)|~r1(sk0_10,sk0_94(sk0_10))|p2(sk0_94(sk0_10))|~spl0_1172),
% 31.12/4.41 inference(resolution,[status(thm)],[f7028,f345])).
% 31.12/4.41 fof(f7069,plain,(
% 31.12/4.41 spl0_1174|~spl0_2|~spl0_1173|spl0_363|~spl0_1172),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7068,f7065,f388,f7047,f1995,f7027])).
% 31.12/4.41 fof(f7074,plain,(
% 31.12/4.41 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_94(sk0_10))|p2(sk0_94(sk0_10))|~spl0_1174),
% 31.12/4.41 inference(resolution,[status(thm)],[f7066,f346])).
% 31.12/4.41 fof(f7075,plain,(
% 31.12/4.41 ~spl0_2|~spl0_1173|spl0_363|~spl0_1174),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7074,f388,f7047,f1995,f7065])).
% 31.12/4.41 fof(f7201,plain,(
% 31.12/4.41 spl0_1206 <=> p2(sk0_105(sk0_95(sk0_10),sk0_94(sk0_10)))),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f7202,plain,(
% 31.12/4.41 p2(sk0_105(sk0_95(sk0_10),sk0_94(sk0_10)))|~spl0_1206),
% 31.12/4.41 inference(component_clause,[status(thm)],[f7201])).
% 31.12/4.41 fof(f7204,plain,(
% 31.12/4.41 p2(sk0_105(sk0_95(sk0_10),sk0_94(sk0_10)))|~pd0_3(sk0_94(sk0_10))|~r1(sk0_94(sk0_10),sk0_95(sk0_10))|p2(sk0_95(sk0_10))|~spl0_1153),
% 31.12/4.41 inference(resolution,[status(thm)],[f6937,f366])).
% 31.12/4.41 fof(f7205,plain,(
% 31.12/4.41 spl0_1206|~spl0_366|~spl0_1155|spl0_388|~spl0_1153),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7204,f7201,f2012,f6944,f2199,f6936])).
% 31.12/4.41 fof(f7210,plain,(
% 31.12/4.41 ~pd0_3(sk0_94(sk0_10))|~r1(sk0_94(sk0_10),sk0_95(sk0_10))|p2(sk0_95(sk0_10))|~spl0_1206),
% 31.12/4.41 inference(resolution,[status(thm)],[f7202,f367])).
% 31.12/4.41 fof(f7211,plain,(
% 31.12/4.41 ~spl0_366|~spl0_1155|spl0_388|~spl0_1206),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7210,f2012,f6944,f2199,f7201])).
% 31.12/4.41 fof(f7236,plain,(
% 31.12/4.41 spl0_1207 <=> ~r1(sk0_5(sk0_10),X0)|p2(X0)),
% 31.12/4.41 introduced(split_symbol_definition)).
% 31.12/4.41 fof(f7237,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_5(sk0_10),X0)|p2(X0)|~spl0_1207)),
% 31.12/4.41 inference(component_clause,[status(thm)],[f7236])).
% 31.12/4.41 fof(f7239,plain,(
% 31.12/4.41 ![X0]: (~r1(sk0_5(sk0_10),X0)|p2(X0)|~p2(sk0_5(sk0_10))|~spl0_4|~spl0_360)),
% 31.12/4.41 inference(resolution,[status(thm)],[f396,f1983])).
% 31.12/4.41 fof(f7240,plain,(
% 31.12/4.41 spl0_1207|~spl0_557|~spl0_4|~spl0_360),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7239,f7236,f3185,f395,f1982])).
% 31.12/4.41 fof(f7255,plain,(
% 31.12/4.41 p2(sk0_6(sk0_10))|~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_1207),
% 31.12/4.41 inference(resolution,[status(thm)],[f7237,f22])).
% 31.12/4.41 fof(f7256,plain,(
% 31.12/4.41 spl0_689|~spl0_1|spl0_3|~spl0_1207),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7255,f3882,f384,f391,f7236])).
% 31.12/4.41 fof(f7294,plain,(
% 31.12/4.41 ~r1(sk0_0,sk0_10)|p2(sk0_10)|spl0_557),
% 31.12/4.41 inference(resolution,[status(thm)],[f3187,f24])).
% 31.12/4.41 fof(f7295,plain,(
% 31.12/4.41 ~spl0_1|spl0_3|spl0_557),
% 31.12/4.41 inference(split_clause,[status(thm)],[f7294,f384,f391,f3185])).
% 31.12/4.41 fof(f7298,plain,(
% 31.12/4.41 $false),
% 31.12/4.41 inference(sat_refutation,[status(thm)],[f387,f394,f398,f402,f406,f1590,f1592,f1608,f1618,f1642,f1660,f1670,f1685,f1805,f1810,f1835,f1867,f1886,f1905,f1924,f1938,f1940,f1968,f1973,f1986,f2002,f2016,f2102,f2104,f2106,f2108,f2173,f2180,f2206,f2209,f2259,f2269,f2380,f2384,f2416,f3274,f3315,f3711,f3718,f4280,f4282,f4489,f4498,f4571,f4664,f4678,f4690,f4779,f4945,f4947,f5519,f5525,f5612,f5614,f5621,f5627,f5638,f5642,f5672,f5795,f5972,f6837,f6943,f6948,f6952,f7031,f7051,f7055,f7069,f7075,f7205,f7211,f7240,f7256,f7295])).
% 31.12/4.41 % SZS output end CNFRefutation for theBenchmark.p
% 31.58/4.44 % Elapsed time: 4.110354 seconds
% 31.58/4.44 % CPU time: 31.695386 seconds
% 31.58/4.44 % Memory used: 120.216 MB
%------------------------------------------------------------------------------