TSTP Solution File: LCL642+1.010 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL642+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 10.08s 1.66s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL642+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:37:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 10.08/1.66 % Refutation found
% 10.08/1.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.08/1.66 % SZS output start CNFRefutation for theBenchmark
% 10.08/1.66 fof(f1,conjecture,(
% 10.08/1.66 ~ (? [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) ) )) ) ) )) ))& ( 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) ) )) )) )) ) )),
% 10.08/1.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.66 fof(f2,negated_conjecture,(
% 10.08/1.66 ~(~ (? [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) ) )) ) ) )) ))& ( 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)| $false ) )) ) )) ))& (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )) )) ) ))),
% 10.08/1.66 inference(negated_conjecture,[status(cth)],[f1])).
% 10.08/1.66 fof(f3,plain,(
% 10.08/1.66 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&((((((((((((((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))|(?[Y]: ((r1(X,Y)&(((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))))|(((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$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)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 10.08/1.66 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 10.08/1.66 fof(f4,plain,(
% 10.08/1.66 ![X]: (pd0_0(X)=>(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))),
% 10.08/1.66 introduced(predicate_definition,[f3])).
% 10.08/1.66 fof(f5,plain,(
% 10.08/1.66 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&(((((((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))))|(((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$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)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 10.08/1.66 inference(formula_renaming,[status(thm)],[f3,f4])).
% 10.08/1.66 fof(f6,plain,(
% 10.08/1.66 ![Y]: (pd0_1(Y)=>((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))),
% 10.08/1.66 introduced(predicate_definition,[f5])).
% 10.08/1.66 fof(f7,plain,(
% 10.08/1.66 ![Y]: (pd0_2(Y)=>(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))),
% 10.08/1.66 introduced(predicate_definition,[f5])).
% 10.08/1.66 fof(f8,plain,(
% 10.08/1.66 ![X]: (pd0_3(X)=>((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))),
% 10.08/1.66 introduced(predicate_definition,[f5])).
% 10.08/1.66 fof(f9,plain,(
% 10.08/1.66 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&(((((((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(pd0_1(Y)|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$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)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 10.08/1.66 inference(formula_renaming,[status(thm)],[f5,f8,f7,f6])).
% 10.08/1.66 fof(f10,plain,(
% 10.08/1.66 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&(((((((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(pd0_1(Y)|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&((p1(X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$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))&$true))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 10.08/1.66 inference(miniscoping,[status(esa)],[f9])).
% 10.08/1.66 fof(f11,plain,(
% 10.08/1.66 (((((((r1(sk0_0,sk0_1)&~p3(sk0_1))&(![Y]: ((~r1(sk0_0,Y)|p3(Y))|((r1(Y,sk0_2(Y))&(r1(sk0_2(Y),sk0_3(Y))&~p3(sk0_3(Y))))&p3(sk0_2(Y))))))&(r1(sk0_0,sk0_4)&~p2(sk0_4)))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|((r1(Y,sk0_5(Y))&(r1(sk0_5(Y),sk0_6(Y))&~p2(sk0_6(Y))))&p2(sk0_5(Y))))))&(r1(sk0_0,sk0_7)&~p1(sk0_7)))&(![Y]: ((~r1(sk0_0,Y)|p1(Y))|((r1(Y,sk0_8(Y))&(r1(sk0_8(Y),sk0_9(Y))&~p1(sk0_9(Y))))&p1(sk0_8(Y))))))&(((((((((((pd0_0(sk0_0)|((r1(sk0_0,sk0_10)&(pd0_1(sk0_10)|(~p2(sk0_10)&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))&((p1(sk0_0)|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(((r1(sk0_0,sk0_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)&$true))))&(![X]: ((~r1(sk0_11,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))))))|(~p1(X)&(((((r1(X,sk0_15(X))&~p4(sk0_15(X)))&~p3(sk0_15(X)))&~p2(sk0_15(X)))&~p1(sk0_15(X)))&(((((r1(sk0_15(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))&$true)))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((((r1(sk0_0,sk0_18)&~p4(sk0_18))&~p3(sk0_18))&~p2(sk0_18))&~p1(sk0_18))&(((((r1(sk0_18,sk0_19)&~p4(sk0_19))&~p3(sk0_19))&~p2(sk0_19))&~p1(sk0_19))&(r1(sk0_19,sk0_20)&$true)))&(![X]: ((~r1(sk0_18,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(((((r1(X,sk0_21(X))&~p4(sk0_21(X)))&~p3(sk0_21(X)))&~p2(sk0_21(X)))&~p1(sk0_21(X)))&(r1(sk0_21(X),sk0_22(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_23)&~p3(sk0_23))&~p2(sk0_23))&~p1(sk0_23))&(((((r1(sk0_23,sk0_24)&~p4(sk0_24))&~p3(sk0_24))&~p2(sk0_24))&~p1(sk0_24))&(r1(sk0_24,sk0_25)&$true)))&(![X]: ((~r1(sk0_23,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(((~p3(X)&~p2(X))&~p1(X))&(((((r1(X,sk0_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))&$true))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: (((((~r1(sk0_0,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((r1(sk0_0,sk0_28)&~p2(sk0_28))&~p1(sk0_28))&(((((r1(sk0_28,sk0_29)&~p4(sk0_29))&~p3(sk0_29))&~p2(sk0_29))&~p1(sk0_29))&(r1(sk0_29,sk0_30)&$true)))&(![X]: ((~r1(sk0_28,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|((~p2(X)&~p1(X))&(((((r1(X,sk0_31(X))&~p4(sk0_31(X)))&~p3(sk0_31(X)))&~p2(sk0_31(X)))&~p1(sk0_31(X)))&(r1(sk0_31(X),sk0_32(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_33)&~p1(sk0_33))&(((((r1(sk0_33,sk0_34)&~p4(sk0_34))&~p3(sk0_34))&~p2(sk0_34))&~p1(sk0_34))&(r1(sk0_34,sk0_35)&$true)))&(![X]: ((~r1(sk0_33,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (((((~r1(Y,X)|p4(X))|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))))))|(~p1(X)&(((((r1(X,sk0_36(X))&~p4(sk0_36(X)))&~p3(sk0_36(X)))&~p2(sk0_36(X)))&~p1(sk0_36(X)))&(r1(sk0_36(X),sk0_37(X))&$true))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|((((((r1(sk0_0,sk0_38)&~p4(sk0_38))&~p3(sk0_38))&~p2(sk0_38))&~p1(sk0_38))&(r1(sk0_38,sk0_39)&$true))&(![X]: ((~r1(sk0_38,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(r1(X,sk0_40(X))&$true)))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|(((((r1(sk0_0,sk0_41)&~p3(sk0_41))&~p2(sk0_41))&~p1(sk0_41))&(r1(sk0_41,sk0_42)&$true))&(![X]: ((~r1(sk0_41,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(((~p3(X)&~p2(X))&~p1(X))&(r1(X,sk0_43(X))&$true)))))))&(((p2(sk0_0)|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|((((r1(sk0_0,sk0_44)&~p2(sk0_44))&~p1(sk0_44))&(r1(sk0_44,sk0_45)&$true))&(![X]: ((~r1(sk0_44,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((~p2(X)&~p1(X))&(r1(X,sk0_46(X))&$true)))))))&((p1(sk0_0)|((![Y]: ~r1(sk0_0,Y))|$false))|(((r1(sk0_0,sk0_47)&~p1(sk0_47))&(r1(sk0_47,sk0_48)&$true))&(![X]: ((~r1(sk0_47,X)|(![Y]: ((~r1(X,Y)|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(~p1(X)&(r1(X,sk0_49(X))&$true)))))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|((r1(Y,sk0_50(Y))&~p2(sk0_50(Y)))&(![Y]: ((~r1(sk0_50(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))),
% 10.08/1.66 inference(skolemization,[status(esa)],[f10])).
% 10.08/1.66 fof(f12,plain,(
% 10.08/1.66 ?[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))))))))))&((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_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)))))))&(![X]: ((~r1(sk0_11,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_15(X))&~p4(sk0_15(X)))&~p3(sk0_15(X)))&~p2(sk0_15(X)))&~p1(sk0_15(X)))&(?[X]: (((((r1(sk0_15(X),sk0_16(X))&~p4(sk0_16(X)))&~p3(sk0_16(X)))&~p2(sk0_16(X)))&~p1(sk0_16(X)))&(?[Y]: r1(sk0_16(X),sk0_17(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_18)&~p4(sk0_18))&~p3(sk0_18))&~p2(sk0_18))&~p1(sk0_18))&(?[X]: (((((r1(sk0_18,sk0_19)&~p4(sk0_19))&~p3(sk0_19))&~p2(sk0_19))&~p1(sk0_19))&(?[Y]: r1(sk0_19,sk0_20)))))&(![X]: ((~r1(sk0_18,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_21(X))&~p4(sk0_21(X)))&~p3(sk0_21(X)))&~p2(sk0_21(X)))&~p1(sk0_21(X)))&(?[X]: r1(sk0_21(X),sk0_22(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_23)&~p3(sk0_23))&~p2(sk0_23))&~p1(sk0_23))&(?[X]: (((((r1(sk0_23,sk0_24)&~p4(sk0_24))&~p3(sk0_24))&~p2(sk0_24))&~p1(sk0_24))&(?[Y]: r1(sk0_24,sk0_25)))))&(![X]: ((~r1(sk0_23,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_26(X))&~p4(sk0_26(X)))&~p3(sk0_26(X)))&~p2(sk0_26(X)))&~p1(sk0_26(X)))&(?[X]: r1(sk0_26(X),sk0_27(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_28)&~p2(sk0_28))&~p1(sk0_28))&(?[X]: (((((r1(sk0_28,sk0_29)&~p4(sk0_29))&~p3(sk0_29))&~p2(sk0_29))&~p1(sk0_29))&(?[Y]: r1(sk0_29,sk0_30)))))&(![X]: ((~r1(sk0_28,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_31(X))&~p4(sk0_31(X)))&~p3(sk0_31(X)))&~p2(sk0_31(X)))&~p1(sk0_31(X)))&(?[X]: r1(sk0_31(X),sk0_32(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_33)&~p1(sk0_33))&(?[X]: (((((r1(sk0_33,sk0_34)&~p4(sk0_34))&~p3(sk0_34))&~p2(sk0_34))&~p1(sk0_34))&(?[Y]: r1(sk0_34,sk0_35)))))&(![X]: ((~r1(sk0_33,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_36(X))&~p4(sk0_36(X)))&~p3(sk0_36(X)))&~p2(sk0_36(X)))&~p1(sk0_36(X)))&(?[X]: r1(sk0_36(X),sk0_37(X))))))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: ((((((r1(sk0_0,sk0_38)&~p4(sk0_38))&~p3(sk0_38))&~p2(sk0_38))&~p1(sk0_38))&(?[X]: r1(sk0_38,sk0_39)))&(![X]: ((~r1(sk0_38,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_40(X))))))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: (((((r1(sk0_0,sk0_41)&~p3(sk0_41))&~p2(sk0_41))&~p1(sk0_41))&(?[X]: r1(sk0_41,sk0_42)))&(![X]: ((~r1(sk0_41,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_43(X))))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: ((((r1(sk0_0,sk0_44)&~p2(sk0_44))&~p1(sk0_44))&(?[X]: r1(sk0_44,sk0_45)))&(![X]: ((~r1(sk0_44,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|((~p2(X)&~p1(X))&(?[Y]: r1(X,sk0_46(X))))))))))&((p1(sk0_0)|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: (((r1(sk0_0,sk0_47)&~p1(sk0_47))&(?[X]: r1(sk0_47,sk0_48)))&(![X]: ((~r1(sk0_47,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: ~r1(Y,X)))))|(~p1(X)&(?[Y]: r1(X,sk0_49(X))))))))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|(?[X]: ((r1(Y,sk0_50(Y))&~p2(sk0_50(Y)))&(![Y]: ((~r1(sk0_50(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 10.08/1.66 inference($true_and_$false_simplification,[status(esa)],[f11])).
% 10.08/1.66 fof(f13,plain,(
% 10.08/1.66 r1(sk0_0,sk0_1)),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f14,plain,(
% 10.08/1.66 ~p3(sk0_1)),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f15,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p3(X0)|r1(X0,sk0_2(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f16,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p3(X0)|r1(sk0_2(X0),sk0_3(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f19,plain,(
% 10.08/1.66 r1(sk0_0,sk0_4)),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f20,plain,(
% 10.08/1.66 ~p2(sk0_4)),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f21,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(X0,sk0_5(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f22,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(sk0_5(X0),sk0_6(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f23,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~p2(sk0_6(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f24,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p2(X0)|p2(sk0_5(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f25,plain,(
% 10.08/1.66 r1(sk0_0,sk0_7)),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f26,plain,(
% 10.08/1.66 ~p1(sk0_7)),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f27,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p1(X0)|r1(X0,sk0_8(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f28,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p1(X0)|r1(sk0_8(X0),sk0_9(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f31,plain,(
% 10.08/1.66 pd0_0(sk0_0)|r1(sk0_0,sk0_10)),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f32,plain,(
% 10.08/1.66 pd0_0(sk0_0)|pd0_1(sk0_10)|~p2(sk0_10)),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f33,plain,(
% 10.08/1.66 ![X0,X1]: (pd0_0(sk0_0)|pd0_1(sk0_10)|~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f34,plain,(
% 10.08/1.66 ![X0,X1]: (pd0_0(sk0_0)|~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f35,plain,(
% 10.08/1.66 ![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))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f165,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(X0,sk0_50(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f166,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~p2(sk0_50(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f167,plain,(
% 10.08/1.66 ![X0,X1,X2]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_50(X0),X1)|~r1(X1,X2)|p2(X2)|~p2(X1))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f12])).
% 10.08/1.66 fof(f168,plain,(
% 10.08/1.66 ![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))))))),
% 10.08/1.66 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 10.08/1.66 fof(f169,plain,(
% 10.08/1.66 ![X,Y]: (pd0_4(Y,X)=>((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))),
% 10.08/1.66 introduced(predicate_definition,[f168])).
% 10.08/1.66 fof(f170,plain,(
% 10.08/1.66 ![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))))))),
% 10.08/1.66 inference(formula_renaming,[status(thm)],[f168,f169])).
% 10.08/1.66 fof(f171,plain,(
% 10.08/1.66 ![X]: (~pd0_0(X)|(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|pd0_4(sk0_51(X,Y,X),X)))))|((r1(X,sk0_52(X))&~p2(sk0_52(X)))&(![X]: ((~r1(sk0_52(X),X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))&(p2(X)|((r1(X,sk0_53(X))&(r1(sk0_53(X),sk0_54(X))&~p2(sk0_54(X))))&p2(sk0_53(X))))))),
% 10.08/1.66 inference(skolemization,[status(esa)],[f170])).
% 10.08/1.66 fof(f172,plain,(
% 10.08/1.66 ![X0,X1,X2]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_51(X2,X1,X0),X2)|r1(X0,sk0_52(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f171])).
% 10.08/1.66 fof(f173,plain,(
% 10.08/1.66 ![X0,X1,X2]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_51(X2,X1,X0),X2)|~p2(sk0_52(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f171])).
% 10.08/1.66 fof(f174,plain,(
% 10.08/1.66 ![X0,X1,X2,X3,X4]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_51(X2,X1,X0),X2)|~r1(sk0_52(X0),X3)|~r1(X3,X4)|p2(X4)|~p2(X3))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f171])).
% 10.08/1.66 fof(f179,plain,(
% 10.08/1.66 ![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)))))))),
% 10.08/1.66 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 10.08/1.66 fof(f180,plain,(
% 10.08/1.66 ![Y]: (~pd0_1(Y)|((r1(Y,sk0_55(Y))&((r1(sk0_55(Y),sk0_56(Y))&~p2(sk0_56(Y)))&(![X]: ((~r1(sk0_56(Y),X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))&(![X]: ((~r1(Y,X)|p2(X))|((r1(X,sk0_57(X,Y))&(r1(sk0_57(X,Y),sk0_58(X,Y))&~p2(sk0_58(X,Y))))&p2(sk0_57(X,Y)))))))),
% 10.08/1.66 inference(skolemization,[status(esa)],[f179])).
% 10.08/1.66 fof(f181,plain,(
% 10.08/1.66 ![X0]: (~pd0_1(X0)|r1(X0,sk0_55(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f180])).
% 10.08/1.66 fof(f182,plain,(
% 10.08/1.66 ![X0]: (~pd0_1(X0)|r1(sk0_55(X0),sk0_56(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f180])).
% 10.08/1.66 fof(f183,plain,(
% 10.08/1.66 ![X0]: (~pd0_1(X0)|~p2(sk0_56(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f180])).
% 10.08/1.66 fof(f184,plain,(
% 10.08/1.66 ![X0,X1,X2]: (~pd0_1(X0)|~r1(sk0_56(X0),X1)|~r1(X1,X2)|p2(X2)|~p2(X1))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f180])).
% 10.08/1.66 fof(f185,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|r1(X1,sk0_57(X1,X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f180])).
% 10.08/1.66 fof(f186,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|r1(sk0_57(X1,X0),sk0_58(X1,X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f180])).
% 10.08/1.66 fof(f187,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|~p2(sk0_58(X1,X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f180])).
% 10.08/1.66 fof(f188,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|p2(sk0_57(X1,X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f180])).
% 10.08/1.66 fof(f189,plain,(
% 10.08/1.66 ![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))))))),
% 10.08/1.66 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 10.08/1.66 fof(f190,plain,(
% 10.08/1.66 ![Y,X]: (pd0_5(X,Y)=>((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))),
% 10.08/1.66 introduced(predicate_definition,[f189])).
% 10.08/1.66 fof(f191,plain,(
% 10.08/1.66 ![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))))))),
% 10.08/1.66 inference(formula_renaming,[status(thm)],[f189,f190])).
% 10.08/1.66 fof(f192,plain,(
% 10.08/1.66 ![Y]: (~pd0_2(Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|pd0_5(sk0_59(Y,X,Y),Y)))))|((r1(Y,sk0_60(Y))&~p2(sk0_60(Y)))&(![Y]: ((~r1(sk0_60(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))&(p2(Y)|((r1(Y,sk0_61(Y))&(r1(sk0_61(Y),sk0_62(Y))&~p2(sk0_62(Y))))&p2(sk0_61(Y))))))),
% 10.08/1.66 inference(skolemization,[status(esa)],[f191])).
% 10.08/1.66 fof(f196,plain,(
% 10.08/1.66 ![X0]: (~pd0_2(X0)|p2(X0)|r1(X0,sk0_61(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f192])).
% 10.08/1.66 fof(f197,plain,(
% 10.08/1.66 ![X0]: (~pd0_2(X0)|p2(X0)|r1(sk0_61(X0),sk0_62(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f192])).
% 10.08/1.66 fof(f198,plain,(
% 10.08/1.66 ![X0]: (~pd0_2(X0)|p2(X0)|~p2(sk0_62(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f192])).
% 10.08/1.66 fof(f199,plain,(
% 10.08/1.66 ![X0]: (~pd0_2(X0)|p2(X0)|p2(sk0_61(X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f192])).
% 10.08/1.66 fof(f200,plain,(
% 10.08/1.66 ![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)))))))),
% 10.08/1.66 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 10.08/1.66 fof(f201,plain,(
% 10.08/1.66 ![X]: (~pd0_3(X)|((r1(X,sk0_63(X))&((r1(sk0_63(X),sk0_64(X))&~p2(sk0_64(X)))&(![Y]: ((~r1(sk0_64(X),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))&(![Y]: ((~r1(X,Y)|p2(Y))|((r1(Y,sk0_65(Y,X))&(r1(sk0_65(Y,X),sk0_66(Y,X))&~p2(sk0_66(Y,X))))&p2(sk0_65(Y,X)))))))),
% 10.08/1.66 inference(skolemization,[status(esa)],[f200])).
% 10.08/1.66 fof(f206,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|r1(X1,sk0_65(X1,X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f201])).
% 10.08/1.66 fof(f207,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|r1(sk0_65(X1,X0),sk0_66(X1,X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f201])).
% 10.08/1.66 fof(f208,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|~p2(sk0_66(X1,X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f201])).
% 10.08/1.66 fof(f209,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|p2(sk0_65(X1,X0)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f201])).
% 10.08/1.66 fof(f210,plain,(
% 10.08/1.66 ![X,Y]: (~pd0_4(Y,X)|((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))),
% 10.08/1.66 inference(pre_NNF_transformation,[status(esa)],[f169])).
% 10.08/1.66 fof(f211,plain,(
% 10.08/1.66 ![X,Y]: (~pd0_4(Y,X)|((r1(X,Y)&(r1(Y,sk0_67(Y,X))&~p2(sk0_67(Y,X))))&p2(Y)))),
% 10.08/1.66 inference(skolemization,[status(esa)],[f210])).
% 10.08/1.66 fof(f212,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_4(X0,X1)|r1(X1,X0))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f211])).
% 10.08/1.66 fof(f213,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_4(X0,X1)|r1(X0,sk0_67(X0,X1)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f211])).
% 10.08/1.66 fof(f214,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_4(X0,X1)|~p2(sk0_67(X0,X1)))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f211])).
% 10.08/1.66 fof(f215,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_4(X0,X1)|p2(X0))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f211])).
% 10.08/1.66 fof(f216,plain,(
% 10.08/1.66 ![Y,X]: (~pd0_5(X,Y)|((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))),
% 10.08/1.66 inference(pre_NNF_transformation,[status(esa)],[f190])).
% 10.08/1.66 fof(f217,plain,(
% 10.08/1.66 ![Y,X]: (~pd0_5(X,Y)|((r1(Y,X)&(r1(X,sk0_68(X,Y))&~p2(sk0_68(X,Y))))&p2(X)))),
% 10.08/1.66 inference(skolemization,[status(esa)],[f216])).
% 10.08/1.66 fof(f221,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_5(X0,X1)|p2(X0))),
% 10.08/1.66 inference(cnf_transformation,[status(esa)],[f217])).
% 10.08/1.66 fof(f222,plain,(
% 10.08/1.66 spl0_0 <=> pd0_0(sk0_0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f223,plain,(
% 10.08/1.66 pd0_0(sk0_0)|~spl0_0),
% 10.08/1.66 inference(component_clause,[status(thm)],[f222])).
% 10.08/1.66 fof(f225,plain,(
% 10.08/1.66 spl0_1 <=> r1(sk0_0,sk0_10)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f226,plain,(
% 10.08/1.66 r1(sk0_0,sk0_10)|~spl0_1),
% 10.08/1.66 inference(component_clause,[status(thm)],[f225])).
% 10.08/1.66 fof(f228,plain,(
% 10.08/1.66 spl0_0|spl0_1),
% 10.08/1.66 inference(split_clause,[status(thm)],[f31,f222,f225])).
% 10.08/1.66 fof(f229,plain,(
% 10.08/1.66 spl0_2 <=> pd0_1(sk0_10)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f230,plain,(
% 10.08/1.66 pd0_1(sk0_10)|~spl0_2),
% 10.08/1.66 inference(component_clause,[status(thm)],[f229])).
% 10.08/1.66 fof(f232,plain,(
% 10.08/1.66 spl0_3 <=> p2(sk0_10)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f235,plain,(
% 10.08/1.66 spl0_0|spl0_2|~spl0_3),
% 10.08/1.66 inference(split_clause,[status(thm)],[f32,f222,f229,f232])).
% 10.08/1.66 fof(f236,plain,(
% 10.08/1.66 spl0_4 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f237,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_4)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f236])).
% 10.08/1.66 fof(f239,plain,(
% 10.08/1.66 spl0_0|spl0_2|spl0_4),
% 10.08/1.66 inference(split_clause,[status(thm)],[f33,f222,f229,f236])).
% 10.08/1.66 fof(f240,plain,(
% 10.08/1.66 spl0_5 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f241,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0)|~spl0_5)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f240])).
% 10.08/1.66 fof(f243,plain,(
% 10.08/1.66 spl0_0|spl0_5),
% 10.08/1.66 inference(split_clause,[status(thm)],[f34,f222,f240])).
% 10.08/1.66 fof(f244,plain,(
% 10.08/1.66 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)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f245,plain,(
% 10.08/1.66 ![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)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f244])).
% 10.08/1.66 fof(f247,plain,(
% 10.08/1.66 spl0_0|spl0_6),
% 10.08/1.66 inference(split_clause,[status(thm)],[f35,f222,f244])).
% 10.08/1.66 fof(f654,plain,(
% 10.08/1.66 spl0_110 <=> ~r1(sk0_0,X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f655,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_0,X0)|~spl0_110)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f654])).
% 10.08/1.66 fof(f801,plain,(
% 10.08/1.66 spl0_147 <=> p3(sk0_1)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f802,plain,(
% 10.08/1.66 p3(sk0_1)|~spl0_147),
% 10.08/1.66 inference(component_clause,[status(thm)],[f801])).
% 10.08/1.66 fof(f804,plain,(
% 10.08/1.66 spl0_148 <=> r1(sk0_1,sk0_2(sk0_1))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f805,plain,(
% 10.08/1.66 r1(sk0_1,sk0_2(sk0_1))|~spl0_148),
% 10.08/1.66 inference(component_clause,[status(thm)],[f804])).
% 10.08/1.66 fof(f807,plain,(
% 10.08/1.66 p3(sk0_1)|r1(sk0_1,sk0_2(sk0_1))),
% 10.08/1.66 inference(resolution,[status(thm)],[f15,f13])).
% 10.08/1.66 fof(f808,plain,(
% 10.08/1.66 spl0_147|spl0_148),
% 10.08/1.66 inference(split_clause,[status(thm)],[f807,f801,f804])).
% 10.08/1.66 fof(f809,plain,(
% 10.08/1.66 $false|~spl0_147),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f802,f14])).
% 10.08/1.66 fof(f810,plain,(
% 10.08/1.66 ~spl0_147),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f809])).
% 10.08/1.66 fof(f819,plain,(
% 10.08/1.66 spl0_151 <=> p2(sk0_4)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f820,plain,(
% 10.08/1.66 p2(sk0_4)|~spl0_151),
% 10.08/1.66 inference(component_clause,[status(thm)],[f819])).
% 10.08/1.66 fof(f822,plain,(
% 10.08/1.66 spl0_152 <=> r1(sk0_4,sk0_5(sk0_4))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f823,plain,(
% 10.08/1.66 r1(sk0_4,sk0_5(sk0_4))|~spl0_152),
% 10.08/1.66 inference(component_clause,[status(thm)],[f822])).
% 10.08/1.66 fof(f825,plain,(
% 10.08/1.66 p2(sk0_4)|r1(sk0_4,sk0_5(sk0_4))),
% 10.08/1.66 inference(resolution,[status(thm)],[f21,f19])).
% 10.08/1.66 fof(f826,plain,(
% 10.08/1.66 spl0_151|spl0_152),
% 10.08/1.66 inference(split_clause,[status(thm)],[f825,f819,f822])).
% 10.08/1.66 fof(f835,plain,(
% 10.08/1.66 $false|~spl0_151),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f820,f20])).
% 10.08/1.66 fof(f836,plain,(
% 10.08/1.66 ~spl0_151),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f835])).
% 10.08/1.66 fof(f837,plain,(
% 10.08/1.66 spl0_155 <=> p1(sk0_7)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f838,plain,(
% 10.08/1.66 p1(sk0_7)|~spl0_155),
% 10.08/1.66 inference(component_clause,[status(thm)],[f837])).
% 10.08/1.66 fof(f840,plain,(
% 10.08/1.66 spl0_156 <=> r1(sk0_7,sk0_8(sk0_7))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f841,plain,(
% 10.08/1.66 r1(sk0_7,sk0_8(sk0_7))|~spl0_156),
% 10.08/1.66 inference(component_clause,[status(thm)],[f840])).
% 10.08/1.66 fof(f843,plain,(
% 10.08/1.66 p1(sk0_7)|r1(sk0_7,sk0_8(sk0_7))),
% 10.08/1.66 inference(resolution,[status(thm)],[f27,f25])).
% 10.08/1.66 fof(f844,plain,(
% 10.08/1.66 spl0_155|spl0_156),
% 10.08/1.66 inference(split_clause,[status(thm)],[f843,f837,f840])).
% 10.08/1.66 fof(f861,plain,(
% 10.08/1.66 $false|~spl0_155),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f838,f26])).
% 10.08/1.66 fof(f862,plain,(
% 10.08/1.66 ~spl0_155),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f861])).
% 10.08/1.66 fof(f868,plain,(
% 10.08/1.66 spl0_162 <=> r1(sk0_4,sk0_50(sk0_4))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f869,plain,(
% 10.08/1.66 r1(sk0_4,sk0_50(sk0_4))|~spl0_162),
% 10.08/1.66 inference(component_clause,[status(thm)],[f868])).
% 10.08/1.66 fof(f871,plain,(
% 10.08/1.66 p2(sk0_4)|r1(sk0_4,sk0_50(sk0_4))),
% 10.08/1.66 inference(resolution,[status(thm)],[f165,f19])).
% 10.08/1.66 fof(f872,plain,(
% 10.08/1.66 spl0_151|spl0_162),
% 10.08/1.66 inference(split_clause,[status(thm)],[f871,f819,f868])).
% 10.08/1.66 fof(f883,plain,(
% 10.08/1.66 spl0_165 <=> ~r1(sk0_50(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f884,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_50(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_165)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f883])).
% 10.08/1.66 fof(f886,plain,(
% 10.08/1.66 ![X0,X1]: (p2(sk0_4)|~r1(sk0_50(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0))),
% 10.08/1.66 inference(resolution,[status(thm)],[f167,f19])).
% 10.08/1.66 fof(f887,plain,(
% 10.08/1.66 spl0_151|spl0_165),
% 10.08/1.66 inference(split_clause,[status(thm)],[f886,f819,f883])).
% 10.08/1.66 fof(f893,plain,(
% 10.08/1.66 spl0_167 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_51(X1,X0,sk0_0),X1)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f894,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_51(X1,X0,sk0_0),X1)|~spl0_167)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f893])).
% 10.08/1.66 fof(f896,plain,(
% 10.08/1.66 spl0_168 <=> ~r1(sk0_52(sk0_0),X2)|~r1(X2,X3)|p2(X3)|~p2(X2)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f897,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_52(sk0_0),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_168)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f896])).
% 10.08/1.66 fof(f899,plain,(
% 10.08/1.66 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_51(X1,X0,sk0_0),X1)|~r1(sk0_52(sk0_0),X2)|~r1(X2,X3)|p2(X3)|~p2(X2)|~spl0_0)),
% 10.08/1.66 inference(resolution,[status(thm)],[f223,f174])).
% 10.08/1.66 fof(f900,plain,(
% 10.08/1.66 spl0_167|spl0_168|~spl0_0),
% 10.08/1.66 inference(split_clause,[status(thm)],[f899,f893,f896,f222])).
% 10.08/1.66 fof(f901,plain,(
% 10.08/1.66 spl0_169 <=> r1(sk0_0,sk0_52(sk0_0))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f902,plain,(
% 10.08/1.66 r1(sk0_0,sk0_52(sk0_0))|~spl0_169),
% 10.08/1.66 inference(component_clause,[status(thm)],[f901])).
% 10.08/1.66 fof(f904,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_51(X1,X0,sk0_0),X1)|r1(sk0_0,sk0_52(sk0_0))|~spl0_0)),
% 10.08/1.66 inference(resolution,[status(thm)],[f223,f172])).
% 10.08/1.66 fof(f905,plain,(
% 10.08/1.66 spl0_167|spl0_169|~spl0_0),
% 10.08/1.66 inference(split_clause,[status(thm)],[f904,f893,f901,f222])).
% 10.08/1.66 fof(f912,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_4,X0)|p2(X0)|pd0_4(sk0_51(X0,sk0_4,sk0_0),X0)|~spl0_167)),
% 10.08/1.66 inference(resolution,[status(thm)],[f894,f19])).
% 10.08/1.66 fof(f921,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_4(sk0_6(X0),X1)|~r1(sk0_0,X0)|p2(X0))),
% 10.08/1.66 inference(resolution,[status(thm)],[f215,f23])).
% 10.08/1.66 fof(f936,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_4(sk0_50(X0),X1))),
% 10.08/1.66 inference(resolution,[status(thm)],[f166,f215])).
% 10.08/1.66 fof(f945,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_5(sk0_50(X0),X1)|~r1(sk0_0,X0)|p2(X0))),
% 10.08/1.66 inference(resolution,[status(thm)],[f221,f166])).
% 10.08/1.66 fof(f953,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_5(sk0_6(X0),X1)|~r1(sk0_0,X0)|p2(X0))),
% 10.08/1.66 inference(resolution,[status(thm)],[f221,f23])).
% 10.08/1.66 fof(f971,plain,(
% 10.08/1.66 spl0_174 <=> ~r1(sk0_7,X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f972,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_7,X0)|~spl0_174)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f971])).
% 10.08/1.66 fof(f979,plain,(
% 10.08/1.66 spl0_176 <=> ~r1(sk0_4,X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f980,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_4,X0)|~spl0_176)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f979])).
% 10.08/1.66 fof(f987,plain,(
% 10.08/1.66 spl0_178 <=> ~r1(sk0_1,X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f988,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_1,X0)|~spl0_178)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f987])).
% 10.08/1.66 fof(f1007,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_56(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_2)),
% 10.08/1.66 inference(resolution,[status(thm)],[f230,f184])).
% 10.08/1.66 fof(f1008,plain,(
% 10.08/1.66 r1(sk0_10,sk0_55(sk0_10))|~spl0_2),
% 10.08/1.66 inference(resolution,[status(thm)],[f230,f181])).
% 10.08/1.66 fof(f1009,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_10,X0)|p2(X0)|r1(X0,sk0_57(X0,sk0_10))|~spl0_2)),
% 10.08/1.66 inference(resolution,[status(thm)],[f230,f185])).
% 10.08/1.66 fof(f1010,plain,(
% 10.08/1.66 $false|~spl0_110),
% 10.08/1.66 inference(backward_subsumption_resolution,[status(thm)],[f25,f655])).
% 10.08/1.66 fof(f1011,plain,(
% 10.08/1.66 ~spl0_110),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f1010])).
% 10.08/1.66 fof(f1012,plain,(
% 10.08/1.66 spl0_182 <=> ~r1(sk0_50(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1013,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_50(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_182)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1012])).
% 10.08/1.66 fof(f1015,plain,(
% 10.08/1.66 ![X0,X1]: (p2(sk0_10)|~r1(sk0_50(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_1)),
% 10.08/1.66 inference(resolution,[status(thm)],[f226,f167])).
% 10.08/1.66 fof(f1016,plain,(
% 10.08/1.66 spl0_3|spl0_182|~spl0_1),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1015,f232,f1012,f225])).
% 10.08/1.66 fof(f1026,plain,(
% 10.08/1.66 spl0_185 <=> r1(sk0_10,sk0_5(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1027,plain,(
% 10.08/1.66 r1(sk0_10,sk0_5(sk0_10))|~spl0_185),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1026])).
% 10.08/1.66 fof(f1029,plain,(
% 10.08/1.66 p2(sk0_10)|r1(sk0_10,sk0_5(sk0_10))|~spl0_1),
% 10.08/1.66 inference(resolution,[status(thm)],[f226,f21])).
% 10.08/1.66 fof(f1030,plain,(
% 10.08/1.66 spl0_3|spl0_185|~spl0_1),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1029,f232,f1026,f225])).
% 10.08/1.66 fof(f1039,plain,(
% 10.08/1.66 spl0_188 <=> r1(sk0_10,sk0_50(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1040,plain,(
% 10.08/1.66 r1(sk0_10,sk0_50(sk0_10))|~spl0_188),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1039])).
% 10.08/1.66 fof(f1042,plain,(
% 10.08/1.66 p2(sk0_10)|r1(sk0_10,sk0_50(sk0_10))|~spl0_1),
% 10.08/1.66 inference(resolution,[status(thm)],[f226,f165])).
% 10.08/1.66 fof(f1043,plain,(
% 10.08/1.66 spl0_3|spl0_188|~spl0_1),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1042,f232,f1039,f225])).
% 10.08/1.66 fof(f1107,plain,(
% 10.08/1.66 $false|~spl0_178|~spl0_148),
% 10.08/1.66 inference(backward_subsumption_resolution,[status(thm)],[f805,f988])).
% 10.08/1.66 fof(f1108,plain,(
% 10.08/1.66 ~spl0_178|~spl0_148),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f1107])).
% 10.08/1.66 fof(f1123,plain,(
% 10.08/1.66 $false|~spl0_176|~spl0_152),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f823,f980])).
% 10.08/1.66 fof(f1124,plain,(
% 10.08/1.66 ~spl0_176|~spl0_152),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f1123])).
% 10.08/1.66 fof(f1125,plain,(
% 10.08/1.66 $false|~spl0_174|~spl0_156),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f841,f972])).
% 10.08/1.66 fof(f1126,plain,(
% 10.08/1.66 ~spl0_174|~spl0_156),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f1125])).
% 10.08/1.66 fof(f1127,plain,(
% 10.08/1.66 spl0_191 <=> p2(sk0_55(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1130,plain,(
% 10.08/1.66 spl0_192 <=> r1(sk0_55(sk0_10),sk0_57(sk0_55(sk0_10),sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1131,plain,(
% 10.08/1.66 r1(sk0_55(sk0_10),sk0_57(sk0_55(sk0_10),sk0_10))|~spl0_192),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1130])).
% 10.08/1.66 fof(f1133,plain,(
% 10.08/1.66 p2(sk0_55(sk0_10))|r1(sk0_55(sk0_10),sk0_57(sk0_55(sk0_10),sk0_10))|~spl0_2),
% 10.08/1.66 inference(resolution,[status(thm)],[f1008,f1009])).
% 10.08/1.66 fof(f1134,plain,(
% 10.08/1.66 spl0_191|spl0_192|~spl0_2),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1133,f1127,f1130,f229])).
% 10.08/1.66 fof(f1135,plain,(
% 10.08/1.66 spl0_193 <=> ~r1(sk0_55(sk0_10),X0)|pd0_2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1136,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_55(sk0_10),X0)|pd0_2(X0)|~spl0_193)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1135])).
% 10.08/1.66 fof(f1138,plain,(
% 10.08/1.66 spl0_194 <=> pd0_3(sk0_55(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1139,plain,(
% 10.08/1.66 pd0_3(sk0_55(sk0_10))|~spl0_194),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1138])).
% 10.08/1.66 fof(f1141,plain,(
% 10.08/1.66 spl0_195 <=> ~r1(sk0_55(sk0_10),X1)|~r1(X1,X2)|p2(X2)|~p2(X1)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1142,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_55(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_195)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1141])).
% 10.08/1.66 fof(f1144,plain,(
% 10.08/1.66 ![X0,X1,X2]: (~r1(sk0_55(sk0_10),X0)|pd0_2(X0)|pd0_3(sk0_55(sk0_10))|~r1(sk0_55(sk0_10),X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~spl0_2|~spl0_6)),
% 10.08/1.66 inference(resolution,[status(thm)],[f1008,f245])).
% 10.08/1.66 fof(f1145,plain,(
% 10.08/1.66 spl0_193|spl0_194|spl0_195|~spl0_2|~spl0_6),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1144,f1135,f1138,f1141,f229,f244])).
% 10.08/1.66 fof(f1146,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_55(sk0_10),X0)|pd0_2(X0)|pd0_3(sk0_55(sk0_10))|~p2(sk0_55(sk0_10))|~spl0_2|~spl0_5)),
% 10.08/1.66 inference(resolution,[status(thm)],[f1008,f241])).
% 10.08/1.66 fof(f1147,plain,(
% 10.08/1.66 spl0_193|spl0_194|~spl0_191|~spl0_2|~spl0_5),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1146,f1135,f1138,f1127,f229,f240])).
% 10.08/1.66 fof(f1163,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_55(sk0_10),X0)|p2(X0)|r1(X0,sk0_65(X0,sk0_55(sk0_10)))|~spl0_194)),
% 10.08/1.66 inference(resolution,[status(thm)],[f1139,f206])).
% 10.08/1.66 fof(f1191,plain,(
% 10.08/1.66 spl0_200 <=> p2(sk0_50(sk0_4))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1192,plain,(
% 10.08/1.66 p2(sk0_50(sk0_4))|~spl0_200),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1191])).
% 10.08/1.66 fof(f1194,plain,(
% 10.08/1.66 spl0_201 <=> pd0_4(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),sk0_50(sk0_4))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1195,plain,(
% 10.08/1.66 pd0_4(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),sk0_50(sk0_4))|~spl0_201),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1194])).
% 10.08/1.66 fof(f1197,plain,(
% 10.08/1.66 p2(sk0_50(sk0_4))|pd0_4(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),sk0_50(sk0_4))|~spl0_167|~spl0_162),
% 10.08/1.66 inference(resolution,[status(thm)],[f912,f869])).
% 10.08/1.66 fof(f1198,plain,(
% 10.08/1.66 spl0_200|spl0_201|~spl0_167|~spl0_162),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1197,f1191,f1194,f893,f868])).
% 10.08/1.66 fof(f1201,plain,(
% 10.08/1.66 spl0_202 <=> p2(sk0_56(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1202,plain,(
% 10.08/1.66 p2(sk0_56(sk0_10))|~spl0_202),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1201])).
% 10.08/1.66 fof(f1204,plain,(
% 10.08/1.66 spl0_203 <=> r1(sk0_56(sk0_10),sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1205,plain,(
% 10.08/1.66 r1(sk0_56(sk0_10),sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)))|~spl0_203),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1204])).
% 10.08/1.66 fof(f1207,plain,(
% 10.08/1.66 p2(sk0_56(sk0_10))|r1(sk0_56(sk0_10),sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)))|~pd0_1(sk0_10)|~spl0_194),
% 10.08/1.66 inference(resolution,[status(thm)],[f1163,f182])).
% 10.08/1.66 fof(f1208,plain,(
% 10.08/1.66 spl0_202|spl0_203|~spl0_2|~spl0_194),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1207,f1201,f1204,f229,f1138])).
% 10.08/1.66 fof(f1218,plain,(
% 10.08/1.66 spl0_204 <=> r1(sk0_0,sk0_4)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1220,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_4)|spl0_204),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1218])).
% 10.08/1.66 fof(f1221,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_4)|p2(sk0_4)|~spl0_200),
% 10.08/1.66 inference(resolution,[status(thm)],[f1192,f166])).
% 10.08/1.66 fof(f1222,plain,(
% 10.08/1.66 ~spl0_204|spl0_151|~spl0_200),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1221,f1218,f819,f1191])).
% 10.08/1.66 fof(f1223,plain,(
% 10.08/1.66 $false|spl0_204),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f1220,f19])).
% 10.08/1.66 fof(f1224,plain,(
% 10.08/1.66 spl0_204),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f1223])).
% 10.08/1.66 fof(f1225,plain,(
% 10.08/1.66 ~pd0_1(sk0_10)|~spl0_202),
% 10.08/1.66 inference(resolution,[status(thm)],[f1202,f183])).
% 10.08/1.66 fof(f1226,plain,(
% 10.08/1.66 $false|~spl0_2|~spl0_202),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f1225,f230])).
% 10.08/1.66 fof(f1227,plain,(
% 10.08/1.66 ~spl0_2|~spl0_202),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f1226])).
% 10.08/1.66 fof(f1237,plain,(
% 10.08/1.66 spl0_206 <=> ~pd0_4(sk0_6(sk0_4),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1240,plain,(
% 10.08/1.66 ![X0]: (~pd0_4(sk0_6(sk0_4),X0)|p2(sk0_4))),
% 10.08/1.66 inference(resolution,[status(thm)],[f921,f19])).
% 10.08/1.66 fof(f1241,plain,(
% 10.08/1.66 spl0_206|spl0_151),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1240,f1237,f819])).
% 10.08/1.66 fof(f1256,plain,(
% 10.08/1.66 spl0_209 <=> p2(sk0_52(sk0_0))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1257,plain,(
% 10.08/1.66 p2(sk0_52(sk0_0))|~spl0_209),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1256])).
% 10.08/1.66 fof(f1274,plain,(
% 10.08/1.66 spl0_213 <=> r1(sk0_52(sk0_0),sk0_5(sk0_52(sk0_0)))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1275,plain,(
% 10.08/1.66 r1(sk0_52(sk0_0),sk0_5(sk0_52(sk0_0)))|~spl0_213),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1274])).
% 10.08/1.66 fof(f1277,plain,(
% 10.08/1.66 p2(sk0_52(sk0_0))|r1(sk0_52(sk0_0),sk0_5(sk0_52(sk0_0)))|~spl0_169),
% 10.08/1.66 inference(resolution,[status(thm)],[f902,f21])).
% 10.08/1.66 fof(f1278,plain,(
% 10.08/1.66 spl0_209|spl0_213|~spl0_169),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1277,f1256,f1274,f901])).
% 10.08/1.66 fof(f1292,plain,(
% 10.08/1.66 ![X0,X1]: (~pd0_0(sk0_0)|~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_51(X1,X0,sk0_0),X1)|~spl0_209)),
% 10.08/1.66 inference(resolution,[status(thm)],[f1257,f173])).
% 10.08/1.66 fof(f1293,plain,(
% 10.08/1.66 ~spl0_0|spl0_167|~spl0_209),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1292,f222,f893,f1256])).
% 10.08/1.66 fof(f1317,plain,(
% 10.08/1.66 spl0_217 <=> pd0_2(sk0_56(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1318,plain,(
% 10.08/1.66 pd0_2(sk0_56(sk0_10))|~spl0_217),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1317])).
% 10.08/1.66 fof(f1320,plain,(
% 10.08/1.66 pd0_2(sk0_56(sk0_10))|~pd0_1(sk0_10)|~spl0_193),
% 10.08/1.66 inference(resolution,[status(thm)],[f1136,f182])).
% 10.08/1.66 fof(f1321,plain,(
% 10.08/1.66 spl0_217|~spl0_2|~spl0_193),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1320,f1317,f229,f1135])).
% 10.08/1.66 fof(f1347,plain,(
% 10.08/1.66 spl0_223 <=> r1(sk0_56(sk0_10),sk0_61(sk0_56(sk0_10)))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1348,plain,(
% 10.08/1.66 r1(sk0_56(sk0_10),sk0_61(sk0_56(sk0_10)))|~spl0_223),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1347])).
% 10.08/1.66 fof(f1350,plain,(
% 10.08/1.66 p2(sk0_56(sk0_10))|r1(sk0_56(sk0_10),sk0_61(sk0_56(sk0_10)))|~spl0_217),
% 10.08/1.66 inference(resolution,[status(thm)],[f1318,f196])).
% 10.08/1.66 fof(f1351,plain,(
% 10.08/1.66 spl0_202|spl0_223|~spl0_217),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1350,f1201,f1347,f1317])).
% 10.08/1.66 fof(f1364,plain,(
% 10.08/1.66 spl0_226 <=> ~pd0_4(sk0_50(sk0_4),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1367,plain,(
% 10.08/1.66 ![X0]: (p2(sk0_4)|~pd0_4(sk0_50(sk0_4),X0))),
% 10.08/1.66 inference(resolution,[status(thm)],[f936,f19])).
% 10.08/1.66 fof(f1368,plain,(
% 10.08/1.66 spl0_151|spl0_226),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1367,f819,f1364])).
% 10.08/1.66 fof(f1388,plain,(
% 10.08/1.66 spl0_230 <=> ~pd0_5(sk0_50(sk0_4),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1391,plain,(
% 10.08/1.66 ![X0]: (~pd0_5(sk0_50(sk0_4),X0)|p2(sk0_4))),
% 10.08/1.66 inference(resolution,[status(thm)],[f945,f19])).
% 10.08/1.66 fof(f1392,plain,(
% 10.08/1.66 spl0_230|spl0_151),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1391,f1388,f819])).
% 10.08/1.66 fof(f1407,plain,(
% 10.08/1.66 spl0_233 <=> ~pd0_5(sk0_6(sk0_4),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1410,plain,(
% 10.08/1.66 ![X0]: (~pd0_5(sk0_6(sk0_4),X0)|p2(sk0_4))),
% 10.08/1.66 inference(resolution,[status(thm)],[f953,f19])).
% 10.08/1.66 fof(f1411,plain,(
% 10.08/1.66 spl0_233|spl0_151),
% 10.08/1.66 inference(split_clause,[status(thm)],[f1410,f1407,f819])).
% 10.08/1.66 fof(f1422,plain,(
% 10.08/1.66 spl0_235 <=> p2(sk0_62(sk0_56(sk0_10)))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1423,plain,(
% 10.08/1.66 p2(sk0_62(sk0_56(sk0_10)))|~spl0_235),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1422])).
% 10.08/1.66 fof(f1443,plain,(
% 10.08/1.66 spl0_240 <=> ~r1(sk0_2(sk0_1),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1444,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_2(sk0_1),X0)|~spl0_240)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1443])).
% 10.08/1.66 fof(f1461,plain,(
% 10.08/1.66 spl0_244 <=> ~r1(sk0_5(sk0_4),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1462,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_5(sk0_4),X0)|~spl0_244)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1461])).
% 10.08/1.66 fof(f1491,plain,(
% 10.08/1.66 spl0_252 <=> ~r1(sk0_8(sk0_7),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f1492,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_8(sk0_7),X0)|~spl0_252)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f1491])).
% 10.08/1.66 fof(f2333,plain,(
% 10.08/1.66 spl0_407 <=> ~r1(sk0_5(sk0_10),X0)|p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2334,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_5(sk0_10),X0)|p2(X0)|~spl0_407)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2333])).
% 10.08/1.66 fof(f2336,plain,(
% 10.08/1.66 spl0_408 <=> p2(sk0_5(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2338,plain,(
% 10.08/1.66 ~p2(sk0_5(sk0_10))|spl0_408),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2336])).
% 10.08/1.66 fof(f2339,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_5(sk0_10),X0)|p2(X0)|~p2(sk0_5(sk0_10))|~spl0_4|~spl0_185)),
% 10.08/1.66 inference(resolution,[status(thm)],[f237,f1027])).
% 10.08/1.66 fof(f2340,plain,(
% 10.08/1.66 spl0_407|~spl0_408|~spl0_4|~spl0_185),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2339,f2333,f2336,f236,f1026])).
% 10.08/1.66 fof(f2349,plain,(
% 10.08/1.66 spl0_411 <=> ~r1(sk0_50(sk0_10),X0)|p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2350,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_50(sk0_10),X0)|p2(X0)|~spl0_411)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2349])).
% 10.08/1.66 fof(f2352,plain,(
% 10.08/1.66 spl0_412 <=> p2(sk0_50(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2353,plain,(
% 10.08/1.66 p2(sk0_50(sk0_10))|~spl0_412),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2352])).
% 10.08/1.66 fof(f2371,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_10)|p2(sk0_10)|spl0_408),
% 10.08/1.66 inference(resolution,[status(thm)],[f2338,f24])).
% 10.08/1.66 fof(f2372,plain,(
% 10.08/1.66 ~spl0_1|spl0_3|spl0_408),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2371,f225,f232,f2336])).
% 10.08/1.66 fof(f2377,plain,(
% 10.08/1.66 spl0_413 <=> r1(sk0_0,sk0_1)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2379,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_1)|spl0_413),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2377])).
% 10.08/1.66 fof(f2380,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_1)|p3(sk0_1)|~spl0_240),
% 10.08/1.66 inference(resolution,[status(thm)],[f1444,f16])).
% 10.08/1.66 fof(f2381,plain,(
% 10.08/1.66 ~spl0_413|spl0_147|~spl0_240),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2380,f2377,f801,f1443])).
% 10.08/1.66 fof(f2384,plain,(
% 10.08/1.66 $false|spl0_413),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f2379,f13])).
% 10.08/1.66 fof(f2385,plain,(
% 10.08/1.66 spl0_413),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f2384])).
% 10.08/1.66 fof(f2386,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_4)|p2(sk0_4)|~spl0_244),
% 10.08/1.66 inference(resolution,[status(thm)],[f1462,f22])).
% 10.08/1.66 fof(f2387,plain,(
% 10.08/1.66 ~spl0_204|spl0_151|~spl0_244),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2386,f1218,f819,f1461])).
% 10.08/1.66 fof(f2390,plain,(
% 10.08/1.66 spl0_414 <=> r1(sk0_0,sk0_7)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2392,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_7)|spl0_414),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2390])).
% 10.08/1.66 fof(f2393,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_7)|p1(sk0_7)|~spl0_252),
% 10.08/1.66 inference(resolution,[status(thm)],[f1492,f28])).
% 10.08/1.66 fof(f2394,plain,(
% 10.08/1.66 ~spl0_414|spl0_155|~spl0_252),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2393,f2390,f837,f1491])).
% 10.08/1.66 fof(f2397,plain,(
% 10.08/1.66 $false|spl0_414),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f2392,f25])).
% 10.08/1.66 fof(f2398,plain,(
% 10.08/1.66 spl0_414),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f2397])).
% 10.08/1.66 fof(f2408,plain,(
% 10.08/1.66 spl0_417 <=> ~r1(sk0_5(sk0_52(sk0_0)),X0)|p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2409,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_5(sk0_52(sk0_0)),X0)|p2(X0)|~spl0_417)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2408])).
% 10.08/1.66 fof(f2411,plain,(
% 10.08/1.66 spl0_418 <=> p2(sk0_5(sk0_52(sk0_0)))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2413,plain,(
% 10.08/1.66 ~p2(sk0_5(sk0_52(sk0_0)))|spl0_418),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2411])).
% 10.08/1.66 fof(f2414,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_5(sk0_52(sk0_0)),X0)|p2(X0)|~p2(sk0_5(sk0_52(sk0_0)))|~spl0_168|~spl0_213)),
% 10.08/1.66 inference(resolution,[status(thm)],[f897,f1275])).
% 10.08/1.66 fof(f2415,plain,(
% 10.08/1.66 spl0_417|~spl0_418|~spl0_168|~spl0_213),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2414,f2408,f2411,f896,f1274])).
% 10.08/1.66 fof(f2434,plain,(
% 10.08/1.66 ~pd0_2(sk0_56(sk0_10))|p2(sk0_56(sk0_10))|~spl0_235),
% 10.08/1.66 inference(resolution,[status(thm)],[f1423,f198])).
% 10.08/1.66 fof(f2435,plain,(
% 10.08/1.66 ~spl0_217|spl0_202|~spl0_235),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2434,f1317,f1201,f1422])).
% 10.08/1.66 fof(f2540,plain,(
% 10.08/1.66 spl0_444 <=> r1(sk0_50(sk0_10),sk0_57(sk0_50(sk0_10),sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2541,plain,(
% 10.08/1.66 r1(sk0_50(sk0_10),sk0_57(sk0_50(sk0_10),sk0_10))|~spl0_444),
% 10.08/1.66 inference(component_clause,[status(thm)],[f2540])).
% 10.08/1.66 fof(f2543,plain,(
% 10.08/1.66 p2(sk0_50(sk0_10))|r1(sk0_50(sk0_10),sk0_57(sk0_50(sk0_10),sk0_10))|~spl0_2|~spl0_188),
% 10.08/1.66 inference(resolution,[status(thm)],[f1009,f1040])).
% 10.08/1.66 fof(f2544,plain,(
% 10.08/1.66 spl0_412|spl0_444|~spl0_2|~spl0_188),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2543,f2352,f2540,f229,f1039])).
% 10.08/1.66 fof(f2610,plain,(
% 10.08/1.66 spl0_453 <=> ~pd0_5(sk0_6(sk0_10),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2613,plain,(
% 10.08/1.66 ![X0]: (~pd0_5(sk0_6(sk0_10),X0)|p2(sk0_10)|~spl0_1)),
% 10.08/1.66 inference(resolution,[status(thm)],[f226,f953])).
% 10.08/1.66 fof(f2614,plain,(
% 10.08/1.66 spl0_453|spl0_3|~spl0_1),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2613,f2610,f232,f225])).
% 10.08/1.66 fof(f2615,plain,(
% 10.08/1.66 spl0_454 <=> ~pd0_5(sk0_50(sk0_10),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2618,plain,(
% 10.08/1.66 ![X0]: (~pd0_5(sk0_50(sk0_10),X0)|p2(sk0_10)|~spl0_1)),
% 10.08/1.66 inference(resolution,[status(thm)],[f226,f945])).
% 10.08/1.66 fof(f2619,plain,(
% 10.08/1.66 spl0_454|spl0_3|~spl0_1),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2618,f2615,f232,f225])).
% 10.08/1.66 fof(f2620,plain,(
% 10.08/1.66 spl0_455 <=> ~pd0_4(sk0_50(sk0_10),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2623,plain,(
% 10.08/1.66 ![X0]: (p2(sk0_10)|~pd0_4(sk0_50(sk0_10),X0)|~spl0_1)),
% 10.08/1.66 inference(resolution,[status(thm)],[f226,f936])).
% 10.08/1.66 fof(f2624,plain,(
% 10.08/1.66 spl0_3|spl0_455|~spl0_1),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2623,f232,f2620,f225])).
% 10.08/1.66 fof(f2625,plain,(
% 10.08/1.66 spl0_456 <=> ~pd0_4(sk0_6(sk0_10),X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f2628,plain,(
% 10.08/1.66 ![X0]: (~pd0_4(sk0_6(sk0_10),X0)|p2(sk0_10)|~spl0_1)),
% 10.08/1.66 inference(resolution,[status(thm)],[f226,f921])).
% 10.08/1.66 fof(f2629,plain,(
% 10.08/1.66 spl0_456|spl0_3|~spl0_1),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2628,f2625,f232,f225])).
% 10.08/1.66 fof(f2652,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_412),
% 10.08/1.66 inference(resolution,[status(thm)],[f2353,f166])).
% 10.08/1.66 fof(f2653,plain,(
% 10.08/1.66 ~spl0_1|spl0_3|~spl0_412),
% 10.08/1.66 inference(split_clause,[status(thm)],[f2652,f225,f232,f2352])).
% 10.08/1.66 fof(f3002,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_52(sk0_0))|p2(sk0_52(sk0_0))|spl0_418),
% 10.08/1.66 inference(resolution,[status(thm)],[f2413,f24])).
% 10.08/1.66 fof(f3003,plain,(
% 10.08/1.66 ~spl0_169|spl0_209|spl0_418),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3002,f901,f1256,f2411])).
% 10.08/1.66 fof(f3065,plain,(
% 10.08/1.66 ![X0,X1]: (~r1(sk0_50(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~spl0_411|~spl0_182)),
% 10.08/1.66 inference(backward_subsumption_resolution,[status(thm)],[f1013,f2350])).
% 10.08/1.66 fof(f3072,plain,(
% 10.08/1.66 spl0_532 <=> p2(sk0_6(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3073,plain,(
% 10.08/1.66 p2(sk0_6(sk0_10))|~spl0_532),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3072])).
% 10.08/1.66 fof(f3075,plain,(
% 10.08/1.66 p2(sk0_6(sk0_10))|~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_407),
% 10.08/1.66 inference(resolution,[status(thm)],[f2334,f22])).
% 10.08/1.66 fof(f3076,plain,(
% 10.08/1.66 spl0_532|~spl0_1|spl0_3|~spl0_407),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3075,f3072,f225,f232,f2333])).
% 10.08/1.66 fof(f3081,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_532),
% 10.08/1.66 inference(resolution,[status(thm)],[f3073,f23])).
% 10.08/1.66 fof(f3082,plain,(
% 10.08/1.66 ~spl0_1|spl0_3|~spl0_532),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3081,f225,f232,f3072])).
% 10.08/1.66 fof(f3095,plain,(
% 10.08/1.66 spl0_533 <=> p2(sk0_57(sk0_55(sk0_10),sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3097,plain,(
% 10.08/1.66 ~p2(sk0_57(sk0_55(sk0_10),sk0_10))|spl0_533),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3095])).
% 10.08/1.66 fof(f3105,plain,(
% 10.08/1.66 spl0_535 <=> ~r1(sk0_57(sk0_55(sk0_10),sk0_10),X0)|p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3106,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_57(sk0_55(sk0_10),sk0_10),X0)|p2(X0)|~spl0_535)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3105])).
% 10.08/1.66 fof(f3108,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_57(sk0_55(sk0_10),sk0_10),X0)|p2(X0)|~p2(sk0_57(sk0_55(sk0_10),sk0_10))|~spl0_195|~spl0_192)),
% 10.08/1.66 inference(resolution,[status(thm)],[f1142,f1131])).
% 10.08/1.66 fof(f3109,plain,(
% 10.08/1.66 spl0_535|~spl0_533|~spl0_195|~spl0_192),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3108,f3105,f3095,f1141,f1130])).
% 10.08/1.66 fof(f3286,plain,(
% 10.08/1.66 spl0_568 <=> r1(sk0_10,sk0_55(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3288,plain,(
% 10.08/1.66 ~r1(sk0_10,sk0_55(sk0_10))|spl0_568),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3286])).
% 10.08/1.66 fof(f3289,plain,(
% 10.08/1.66 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_55(sk0_10))|p2(sk0_55(sk0_10))|spl0_533),
% 10.08/1.66 inference(resolution,[status(thm)],[f3097,f188])).
% 10.08/1.66 fof(f3290,plain,(
% 10.08/1.66 ~spl0_2|~spl0_568|spl0_191|spl0_533),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3289,f229,f3286,f1127,f3095])).
% 10.08/1.66 fof(f3293,plain,(
% 10.08/1.66 $false|~spl0_2|spl0_568),
% 10.08/1.66 inference(forward_subsumption_resolution,[status(thm)],[f3288,f1008])).
% 10.08/1.66 fof(f3294,plain,(
% 10.08/1.66 ~spl0_2|spl0_568),
% 10.08/1.66 inference(contradiction_clause,[status(thm)],[f3293])).
% 10.08/1.66 fof(f3328,plain,(
% 10.08/1.66 spl0_573 <=> p2(sk0_6(sk0_52(sk0_0)))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3329,plain,(
% 10.08/1.66 p2(sk0_6(sk0_52(sk0_0)))|~spl0_573),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3328])).
% 10.08/1.66 fof(f3331,plain,(
% 10.08/1.66 p2(sk0_6(sk0_52(sk0_0)))|~r1(sk0_0,sk0_52(sk0_0))|p2(sk0_52(sk0_0))|~spl0_417),
% 10.08/1.66 inference(resolution,[status(thm)],[f2409,f22])).
% 10.08/1.66 fof(f3332,plain,(
% 10.08/1.66 spl0_573|~spl0_169|spl0_209|~spl0_417),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3331,f3328,f901,f1256,f2408])).
% 10.08/1.66 fof(f3337,plain,(
% 10.08/1.66 ~r1(sk0_0,sk0_52(sk0_0))|p2(sk0_52(sk0_0))|~spl0_573),
% 10.08/1.66 inference(resolution,[status(thm)],[f3329,f23])).
% 10.08/1.66 fof(f3338,plain,(
% 10.08/1.66 ~spl0_169|spl0_209|~spl0_573),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3337,f901,f1256,f3328])).
% 10.08/1.66 fof(f3503,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_57(sk0_50(sk0_10),sk0_10),X0)|p2(X0)|~spl0_444|~spl0_411|~spl0_182)),
% 10.08/1.66 inference(resolution,[status(thm)],[f2541,f3065])).
% 10.08/1.66 fof(f3650,plain,(
% 10.08/1.66 spl0_620 <=> ~r1(sk0_61(sk0_56(sk0_10)),X0)|p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3651,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_61(sk0_56(sk0_10)),X0)|p2(X0)|~spl0_620)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3650])).
% 10.08/1.66 fof(f3653,plain,(
% 10.08/1.66 spl0_621 <=> p2(sk0_61(sk0_56(sk0_10)))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3655,plain,(
% 10.08/1.66 ~p2(sk0_61(sk0_56(sk0_10)))|spl0_621),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3653])).
% 10.08/1.66 fof(f3656,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_61(sk0_56(sk0_10)),X0)|p2(X0)|~p2(sk0_61(sk0_56(sk0_10)))|~spl0_223|~spl0_2)),
% 10.08/1.66 inference(resolution,[status(thm)],[f1348,f1007])).
% 10.08/1.66 fof(f3657,plain,(
% 10.08/1.66 spl0_620|~spl0_621|~spl0_223|~spl0_2),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3656,f3650,f3653,f1347,f229])).
% 10.08/1.66 fof(f3658,plain,(
% 10.08/1.66 ~pd0_2(sk0_56(sk0_10))|p2(sk0_56(sk0_10))|spl0_621),
% 10.08/1.66 inference(resolution,[status(thm)],[f3655,f199])).
% 10.08/1.66 fof(f3659,plain,(
% 10.08/1.66 ~spl0_217|spl0_202|spl0_621),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3658,f1317,f1201,f3653])).
% 10.08/1.66 fof(f3662,plain,(
% 10.08/1.66 p2(sk0_62(sk0_56(sk0_10)))|~pd0_2(sk0_56(sk0_10))|p2(sk0_56(sk0_10))|~spl0_620),
% 10.08/1.66 inference(resolution,[status(thm)],[f3651,f197])).
% 10.08/1.66 fof(f3663,plain,(
% 10.08/1.66 spl0_235|~spl0_217|spl0_202|~spl0_620),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3662,f1422,f1317,f1201,f3650])).
% 10.08/1.66 fof(f3832,plain,(
% 10.08/1.66 spl0_634 <=> p2(sk0_58(sk0_55(sk0_10),sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3833,plain,(
% 10.08/1.66 p2(sk0_58(sk0_55(sk0_10),sk0_10))|~spl0_634),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3832])).
% 10.08/1.66 fof(f3835,plain,(
% 10.08/1.66 p2(sk0_58(sk0_55(sk0_10),sk0_10))|~pd0_1(sk0_10)|~r1(sk0_10,sk0_55(sk0_10))|p2(sk0_55(sk0_10))|~spl0_535),
% 10.08/1.66 inference(resolution,[status(thm)],[f3106,f186])).
% 10.08/1.66 fof(f3836,plain,(
% 10.08/1.66 spl0_634|~spl0_2|~spl0_568|spl0_191|~spl0_535),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3835,f3832,f229,f3286,f1127,f3105])).
% 10.08/1.66 fof(f3841,plain,(
% 10.08/1.66 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_55(sk0_10))|p2(sk0_55(sk0_10))|~spl0_634),
% 10.08/1.66 inference(resolution,[status(thm)],[f3833,f187])).
% 10.08/1.66 fof(f3842,plain,(
% 10.08/1.66 ~spl0_2|~spl0_568|spl0_191|~spl0_634),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3841,f229,f3286,f1127,f3832])).
% 10.08/1.66 fof(f3843,plain,(
% 10.08/1.66 spl0_635 <=> p2(sk0_58(sk0_50(sk0_10),sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3844,plain,(
% 10.08/1.66 p2(sk0_58(sk0_50(sk0_10),sk0_10))|~spl0_635),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3843])).
% 10.08/1.66 fof(f3846,plain,(
% 10.08/1.66 p2(sk0_58(sk0_50(sk0_10),sk0_10))|~pd0_1(sk0_10)|~r1(sk0_10,sk0_50(sk0_10))|p2(sk0_50(sk0_10))|~spl0_444|~spl0_411|~spl0_182),
% 10.08/1.66 inference(resolution,[status(thm)],[f3503,f186])).
% 10.08/1.66 fof(f3847,plain,(
% 10.08/1.66 spl0_635|~spl0_2|~spl0_188|spl0_412|~spl0_444|~spl0_411|~spl0_182),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3846,f3843,f229,f1039,f2352,f2540,f2349,f1012])).
% 10.08/1.66 fof(f3854,plain,(
% 10.08/1.66 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_50(sk0_10))|p2(sk0_50(sk0_10))|~spl0_635),
% 10.08/1.66 inference(resolution,[status(thm)],[f3844,f187])).
% 10.08/1.66 fof(f3855,plain,(
% 10.08/1.66 ~spl0_2|~spl0_188|spl0_412|~spl0_635),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3854,f229,f1039,f2352,f3843])).
% 10.08/1.66 fof(f3890,plain,(
% 10.08/1.66 r1(sk0_50(sk0_4),sk0_51(sk0_50(sk0_4),sk0_4,sk0_0))|~spl0_201),
% 10.08/1.66 inference(resolution,[status(thm)],[f1195,f212])).
% 10.08/1.66 fof(f3946,plain,(
% 10.08/1.66 spl0_644 <=> ~r1(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),X0)|p2(X0)),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3947,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),X0)|p2(X0)|~spl0_644)),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3946])).
% 10.08/1.66 fof(f3949,plain,(
% 10.08/1.66 spl0_645 <=> p2(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f3951,plain,(
% 10.08/1.66 ~p2(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0))|spl0_645),
% 10.08/1.66 inference(component_clause,[status(thm)],[f3949])).
% 10.08/1.66 fof(f3952,plain,(
% 10.08/1.66 ![X0]: (~r1(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),X0)|p2(X0)|~p2(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0))|~spl0_201|~spl0_165)),
% 10.08/1.66 inference(resolution,[status(thm)],[f3890,f884])).
% 10.08/1.66 fof(f3953,plain,(
% 10.08/1.66 spl0_644|~spl0_645|~spl0_201|~spl0_165),
% 10.08/1.66 inference(split_clause,[status(thm)],[f3952,f3946,f3949,f1194,f883])).
% 10.08/1.66 fof(f4168,plain,(
% 10.08/1.66 spl0_682 <=> p2(sk0_66(sk0_56(sk0_10),sk0_55(sk0_10)))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f4169,plain,(
% 10.08/1.66 p2(sk0_66(sk0_56(sk0_10),sk0_55(sk0_10)))|~spl0_682),
% 10.08/1.66 inference(component_clause,[status(thm)],[f4168])).
% 10.08/1.66 fof(f4174,plain,(
% 10.08/1.66 spl0_684 <=> r1(sk0_55(sk0_10),sk0_56(sk0_10))),
% 10.08/1.66 introduced(split_symbol_definition)).
% 10.08/1.66 fof(f4176,plain,(
% 10.08/1.66 ~r1(sk0_55(sk0_10),sk0_56(sk0_10))|spl0_684),
% 10.08/1.67 inference(component_clause,[status(thm)],[f4174])).
% 10.08/1.67 fof(f4295,plain,(
% 10.08/1.67 ![X0]: (~pd0_4(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),X0)|spl0_645)),
% 10.08/1.67 inference(resolution,[status(thm)],[f3951,f215])).
% 10.08/1.67 fof(f4300,plain,(
% 10.08/1.67 ~pd0_3(sk0_55(sk0_10))|~r1(sk0_55(sk0_10),sk0_56(sk0_10))|p2(sk0_56(sk0_10))|~spl0_682),
% 10.08/1.67 inference(resolution,[status(thm)],[f4169,f208])).
% 10.08/1.67 fof(f4301,plain,(
% 10.08/1.67 ~spl0_194|~spl0_684|spl0_202|~spl0_682),
% 10.08/1.67 inference(split_clause,[status(thm)],[f4300,f1138,f4174,f1201,f4168])).
% 10.08/1.67 fof(f4302,plain,(
% 10.08/1.67 $false|spl0_645|~spl0_201),
% 10.08/1.67 inference(backward_subsumption_resolution,[status(thm)],[f1195,f4295])).
% 10.08/1.67 fof(f4303,plain,(
% 10.08/1.67 spl0_645|~spl0_201),
% 10.08/1.67 inference(contradiction_clause,[status(thm)],[f4302])).
% 10.08/1.67 fof(f4321,plain,(
% 10.08/1.67 ![X0]: (p2(sk0_67(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),X0))|~pd0_4(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),X0)|~spl0_644)),
% 10.08/1.67 inference(resolution,[status(thm)],[f3947,f213])).
% 10.08/1.67 fof(f4322,plain,(
% 10.08/1.67 ![X0]: (~pd0_4(sk0_51(sk0_50(sk0_4),sk0_4,sk0_0),X0)|~spl0_644)),
% 10.08/1.67 inference(forward_subsumption_resolution,[status(thm)],[f4321,f214])).
% 10.08/1.67 fof(f4334,plain,(
% 10.08/1.67 $false|~spl0_644|~spl0_201),
% 10.08/1.67 inference(forward_subsumption_resolution,[status(thm)],[f1195,f4322])).
% 10.08/1.67 fof(f4335,plain,(
% 10.08/1.67 ~spl0_644|~spl0_201),
% 10.08/1.67 inference(contradiction_clause,[status(thm)],[f4334])).
% 10.08/1.67 fof(f4336,plain,(
% 10.08/1.67 ~pd0_1(sk0_10)|spl0_684),
% 10.08/1.67 inference(resolution,[status(thm)],[f4176,f182])).
% 10.08/1.67 fof(f4337,plain,(
% 10.08/1.67 ~spl0_2|spl0_684),
% 10.08/1.67 inference(split_clause,[status(thm)],[f4336,f229,f4174])).
% 10.08/1.67 fof(f4384,plain,(
% 10.08/1.67 ![X0,X1]: (~r1(sk0_56(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_2)),
% 10.08/1.67 inference(resolution,[status(thm)],[f230,f184])).
% 10.08/1.67 fof(f4565,plain,(
% 10.08/1.67 spl0_700 <=> ~r1(sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)),X0)|p2(X0)),
% 10.08/1.67 introduced(split_symbol_definition)).
% 10.08/1.67 fof(f4566,plain,(
% 10.08/1.67 ![X0]: (~r1(sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)),X0)|p2(X0)|~spl0_700)),
% 10.08/1.67 inference(component_clause,[status(thm)],[f4565])).
% 10.08/1.67 fof(f4568,plain,(
% 10.08/1.67 spl0_701 <=> p2(sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)))),
% 10.08/1.67 introduced(split_symbol_definition)).
% 10.34/1.68 fof(f4570,plain,(
% 10.34/1.68 ~p2(sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)))|spl0_701),
% 10.34/1.68 inference(component_clause,[status(thm)],[f4568])).
% 10.34/1.68 fof(f4571,plain,(
% 10.34/1.68 ![X0]: (~r1(sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)),X0)|p2(X0)|~p2(sk0_65(sk0_56(sk0_10),sk0_55(sk0_10)))|~spl0_2|~spl0_203)),
% 10.34/1.68 inference(resolution,[status(thm)],[f4384,f1205])).
% 10.34/1.68 fof(f4572,plain,(
% 10.34/1.68 spl0_700|~spl0_701|~spl0_2|~spl0_203),
% 10.34/1.68 inference(split_clause,[status(thm)],[f4571,f4565,f4568,f229,f1204])).
% 10.34/1.68 fof(f4575,plain,(
% 10.34/1.68 ~pd0_3(sk0_55(sk0_10))|~r1(sk0_55(sk0_10),sk0_56(sk0_10))|p2(sk0_56(sk0_10))|spl0_701),
% 10.34/1.68 inference(resolution,[status(thm)],[f4570,f209])).
% 10.34/1.68 fof(f4576,plain,(
% 10.34/1.68 ~spl0_194|~spl0_684|spl0_202|spl0_701),
% 10.34/1.68 inference(split_clause,[status(thm)],[f4575,f1138,f4174,f1201,f4568])).
% 10.34/1.68 fof(f4583,plain,(
% 10.34/1.68 p2(sk0_66(sk0_56(sk0_10),sk0_55(sk0_10)))|~pd0_3(sk0_55(sk0_10))|~r1(sk0_55(sk0_10),sk0_56(sk0_10))|p2(sk0_56(sk0_10))|~spl0_700),
% 10.34/1.68 inference(resolution,[status(thm)],[f4566,f207])).
% 10.34/1.68 fof(f4584,plain,(
% 10.34/1.68 spl0_682|~spl0_194|~spl0_684|spl0_202|~spl0_700),
% 10.34/1.68 inference(split_clause,[status(thm)],[f4583,f4168,f1138,f4174,f1201,f4565])).
% 10.34/1.68 fof(f4589,plain,(
% 10.34/1.68 $false),
% 10.34/1.68 inference(sat_refutation,[status(thm)],[f228,f235,f239,f243,f247,f808,f810,f826,f836,f844,f862,f872,f887,f900,f905,f1011,f1016,f1030,f1043,f1108,f1124,f1126,f1134,f1145,f1147,f1198,f1208,f1222,f1224,f1227,f1241,f1278,f1293,f1321,f1351,f1368,f1392,f1411,f2340,f2372,f2381,f2385,f2387,f2394,f2398,f2415,f2435,f2544,f2614,f2619,f2624,f2629,f2653,f3003,f3076,f3082,f3109,f3290,f3294,f3332,f3338,f3657,f3659,f3663,f3836,f3842,f3847,f3855,f3953,f4301,f4303,f4335,f4337,f4572,f4576,f4584])).
% 10.34/1.68 % SZS output end CNFRefutation for theBenchmark.p
% 10.34/1.70 % Elapsed time: 1.337865 seconds
% 10.34/1.70 % CPU time: 10.404566 seconds
% 10.34/1.70 % Memory used: 66.557 MB
%------------------------------------------------------------------------------