TSTP Solution File: GEO440+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO440+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 : Tue Apr 30 20:18:04 EDT 2024
% Result : Theorem 43.81s 6.95s
% Output : CNFRefutation 44.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO440+1 : TPTP v8.1.2. Released v7.0.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 02:02:10 EDT 2024
% 0.10/0.32 % CPUTime :
% 1.31/1.53 % Drodi V3.6.0
% 43.81/6.95 % Refutation found
% 43.81/6.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 43.81/6.95 % SZS output start CNFRefutation for theBenchmark
% 43.81/6.95 fof(f3,axiom,(
% 43.81/6.95 p(s(bool,t)) ),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f4,axiom,(
% 43.81/6.95 (! [X,XI_] :( ( p(s(bool,X))& p(s(bool,XI_)) )<=> (! [X0] : s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,X))),s(bool,XI_))) = s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t))) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f5,axiom,(
% 43.81/6.95 (! [X,XI_] :( ( p(s(bool,X))=> p(s(bool,XI_)) )<=> ( ( p(s(bool,X))& p(s(bool,XI_)) )<=> p(s(bool,X)) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f8,axiom,(
% 43.81/6.95 (! [X,XI_] :( ( p(s(bool,X))| p(s(bool,XI_)) )<=> (! [R0] :( ( p(s(bool,X))=> p(s(bool,R0)) )=> ( ( p(s(bool,XI_))=> p(s(bool,R0)) )=> p(s(bool,R0)) ) ) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f9,axiom,(
% 43.81/6.95 ( p(s(bool,f0))<=> (! [P0] : p(s(bool,P0)) )) ),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f10,axiom,(
% 43.81/6.95 (! [X] :( ~ p(s(bool,X))<=> ( p(s(bool,X))=> p(s(bool,f0)) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f12,axiom,(
% 43.81/6.95 s(bool,u_falsityu_) = s(bool,f0) ),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f15,axiom,(
% 43.81/6.95 (! [A,X] :( s(A,X) = s(A,X)<=> p(s(bool,t)) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f37,axiom,(
% 43.81/6.95 (! [P0,Q0,R0] :( ( p(s(bool,P0))& ( p(s(bool,Q0))| p(s(bool,R0)) ) )<=> ( ( p(s(bool,P0))& p(s(bool,Q0)) )| ( p(s(bool,P0))& p(s(bool,R0)) ) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f38,axiom,(
% 43.81/6.95 (! [P0,Q0,R0] :( ( ( p(s(bool,P0))| p(s(bool,Q0)) )& p(s(bool,R0)) )<=> ( ( p(s(bool,P0))& p(s(bool,R0)) )| ( p(s(bool,Q0))& p(s(bool,R0)) ) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f42,axiom,(
% 43.81/6.95 (! [T0] :( ( s(bool,t) = s(bool,T0)<=> p(s(bool,T0)) )& ( s(bool,T0) = s(bool,t)<=> p(s(bool,T0)) )& ( s(bool,f0) = s(bool,T0)<=> ~ p(s(bool,T0)) )& ( s(bool,T0) = s(bool,f0)<=> ~ p(s(bool,T0)) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f44,axiom,(
% 43.81/6.95 ( ~ p(s(bool,f0))<=> p(s(bool,t)) ) ),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f50,axiom,(
% 43.81/6.95 (! [A,A5] :(? [X] : s(A,X) = s(A,A5) ))),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f51,axiom,(
% 43.81/6.95 (! [A,A5] :( (? [X] : s(A,X) = s(A,A5))& (! [X,XI_] :( ( s(A,X) = s(A,A5)& s(A,XI_) = s(A,A5) )=> s(A,X) = s(A,XI_) ) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f52,axiom,(
% 43.81/6.95 (! [A,P0,A5] :( (? [X] :( s(A,A5) = s(A,X)& p(s(bool,i(s(fun(A,bool),P0),s(A,X)))) ))<=> p(s(bool,i(s(fun(A,bool),P0),s(A,A5)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f53,axiom,(
% 43.81/6.95 (! [A,P0,A5] :( (? [X] :( s(A,X) = s(A,A5)& p(s(bool,i(s(fun(A,bool),P0),s(A,X)))) ))<=> p(s(bool,i(s(fun(A,bool),P0),s(A,A5)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f54,axiom,(
% 43.81/6.95 (! [A,P0,A5] :( (! [X] :( s(A,X) = s(A,A5)=> p(s(bool,i(s(fun(A,bool),P0),s(A,X)))) ))<=> p(s(bool,i(s(fun(A,bool),P0),s(A,A5)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f55,axiom,(
% 43.81/6.95 (! [Q1020,P0,A5] :( (! [X] :( s(Q1020,A5) = s(Q1020,X)=> p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,X)))) ))<=> p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,A5)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f57,axiom,(
% 43.81/6.95 (! [A,B,P0] :( (? [X,Y] : p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))<=> (? [Y,X] : p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f62,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( (? [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))| p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) ))<=> ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))| (? [X] : p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) )) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f63,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))| (? [X] : p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) ))<=> (? [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))| p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) ) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f64,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))| p(s(bool,Q0)) )<=> (? [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))| p(s(bool,Q0)) ) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f65,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( ( p(s(bool,P0))| (? [X] : p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) ))<=> (? [X] :( p(s(bool,P0))| p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) ) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f66,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( (? [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& p(s(bool,Q0)) ))<=> ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))& p(s(bool,Q0)) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f67,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( (? [X] :( p(s(bool,P0))& p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) ))<=> ( p(s(bool,P0))& (? [X] : p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) )) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f69,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))& p(s(bool,Q0)) )<=> (? [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& p(s(bool,Q0)) ) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f70,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( ( p(s(bool,P0))& (? [X] : p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) ))<=> (? [X] :( p(s(bool,P0))& p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))) ) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f76,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))=> p(s(bool,Q0)) )<=> (! [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))=> p(s(bool,Q0)) ) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f77,axiom,(
% 43.81/6.95 (! [A,P0,Q0] :( (! [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))=> p(s(bool,Q0)) ))<=> ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))=> p(s(bool,Q0)) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f80,axiom,(
% 43.81/6.95 (! [A,P0] :( ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))& (! [X,XI_] :( ( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))) )=> s(A,X) = s(A,XI_) ) ))<=> (? [X] :(! [Y] :( p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))<=> s(A,X) = s(A,Y) ) ))) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f82,axiom,(
% 43.81/6.95 (! [A,P0] :( ( (? [X] : p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))& (! [X,XI_] :( ( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))) )=> s(A,X) = s(A,XI_) ) ))<=> (? [X] :( p(s(bool,i(s(fun(A,bool),P0),s(A,X))))& (! [Y] :( p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))=> s(A,Y) = s(A,X) ) )) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f199,axiom,(
% 43.81/6.95 ( s(num,u_0) = s(num,u_0)<=> p(s(bool,t)) ) ),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f200,axiom,(
% 43.81/6.95 (! [N0] : s(num,i(s(fun(num,num),numeral),s(num,N0))) = s(num,N0) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f384,axiom,(
% 43.81/6.95 (! [X,M0,N0] :( s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X))),s(num,M0))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X))),s(num,N0)))<=> (? [V] :( ( p(s(bool,V))<=> ( s(num,M0) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))<=> s(num,N0) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) ) )& (? [VI_] :( ( p(s(bool,VI_))<=> s(num,X) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) )& (? [VI_I_] :( ( p(s(bool,VI_I_))<=> ( s(num,X) = s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))| s(num,M0) = s(num,N0) ) )& p(s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),i(s(fun(bool,fun(bool,fun(bool,bool))),cond),s(bool,VI_))),s(bool,V))),s(bool,VI_I_)))) ) )) )) )) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f568,axiom,(
% 43.81/6.95 (! [N0] :( s(num,i(s(fun(num,num),bit1),s(num,N0))) = s(num,u_0)<=> p(s(bool,f0)) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f572,axiom,(
% 43.81/6.95 (! [M0,N0] :( s(num,i(s(fun(num,num),bit0),s(num,M0))) = s(num,i(s(fun(num,num),bit1),s(num,N0)))<=> p(s(bool,f0)) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f982,axiom,(
% 43.81/6.95 (! [Y,X] :( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))<=> ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,Y))),s(real,X)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f1020,axiom,(
% 43.81/6.95 (! [X,Y] :( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f1021,axiom,(
% 43.81/6.95 (! [X,Y,Z0] :( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,Y))),s(real,Z0)))) )=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Z0)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f1022,axiom,(
% 43.81/6.95 (! [X,Y,Z0] :( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,Z0)))) )=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Z0)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f1028,axiom,(
% 43.81/6.95 (! [X,Y] :( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))| s(real,X) = s(real,Y) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f1032,axiom,(
% 43.81/6.95 (! [X,Y] :( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))& s(real,X) != s(real,Y) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f1033,axiom,(
% 43.81/6.95 (! [X] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,X)))) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f1067,axiom,(
% 43.81/6.95 (! [X,Y] :~ ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,X)))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f1069,axiom,(
% 43.81/6.95 (! [X,Y] :( s(real,X) != s(real,Y)<=> ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,X)))) ) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2041,axiom,(
% 43.81/6.95 (! [Q58981,P0] :( (! [X] :( p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))=> p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X)))) ))<=> p(s(bool,t)) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2043,axiom,(
% 43.81/6.95 (! [Q59041,P0] :( (? [X] :( p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))& p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X)))) ))<=> p(s(bool,f0)) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2377,axiom,(
% 43.81/6.95 (! [B,A,R0] :( p(s(bool,t))<=> s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0))))) = s(fun(finite_image(B),A),R0) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2754,axiom,(
% 43.81/6.95 (! [N,K0,I0] : s(real,i(s(fun(num,real),i(s(fun(cart(real,N),fun(num,real)),d_),s(cart(real,N),i(s(fun(num,cart(real,N)),vec),s(num,K0))))),s(num,I0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,K0))) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2845,axiom,(
% 43.81/6.95 (! [Q102146] : s(real,i(s(fun(cart(real,Q102146),real),vectoru_norm),s(cart(real,Q102146),i(s(fun(num,cart(real,Q102146)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2846,axiom,(
% 43.81/6.95 (! [Q102162,X] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q102162),real),vectoru_norm),s(cart(real,Q102162),X)))))) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2850,axiom,(
% 43.81/6.95 (! [Q102254,X] :( s(real,i(s(fun(cart(real,Q102254),real),vectoru_norm),s(cart(real,Q102254),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))<=> s(real,i(s(fun(cart(real,Q102254),real),i(s(fun(cart(real,Q102254),fun(cart(real,Q102254),real)),dot),s(cart(real,Q102254),X))),s(cart(real,Q102254),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2851,axiom,(
% 43.81/6.95 (! [Q102285,X] :( s(real,i(s(fun(cart(real,Q102285),real),vectoru_norm),s(cart(real,Q102285),X))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))<=> s(cart(real,Q102285),X) = s(cart(real,Q102285),i(s(fun(num,cart(real,Q102285)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2852,conjecture,(
% 43.81/6.95 (! [Q102307,X] :( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q102307),real),vectoru_norm),s(cart(real,Q102307),X))))))<=> s(cart(real,Q102307),X) != s(cart(real,Q102307),i(s(fun(num,cart(real,Q102307)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) )),
% 43.81/6.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.81/6.95 fof(f2853,negated_conjecture,(
% 43.81/6.95 ~((! [Q102307,X] :( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q102307),real),vectoru_norm),s(cart(real,Q102307),X))))))<=> s(cart(real,Q102307),X) != s(cart(real,Q102307),i(s(fun(num,cart(real,Q102307)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ))),
% 43.81/6.95 inference(negated_conjecture,[status(cth)],[f2852])).
% 43.81/6.95 fof(f2856,plain,(
% 43.81/6.95 p(s(bool,t))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3])).
% 43.81/6.95 fof(f2857,plain,(
% 43.81/6.95 ![X,XI_]: (((~p(s(bool,X))|~p(s(bool,XI_)))|(![X0]: s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,X))),s(bool,XI_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))))&((p(s(bool,X))&p(s(bool,XI_)))|(?[X0]: ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,X))),s(bool,XI_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f4])).
% 43.81/6.95 fof(f2858,plain,(
% 43.81/6.95 (![X,XI_]: ((~p(s(bool,X))|~p(s(bool,XI_)))|(![X0]: s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,X))),s(bool,XI_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t))))))&(![X,XI_]: ((p(s(bool,X))&p(s(bool,XI_)))|(?[X0]: ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,X))),s(bool,XI_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f2857])).
% 43.81/6.95 fof(f2859,plain,(
% 43.81/6.95 (![X,XI_]: ((~p(s(bool,X))|~p(s(bool,XI_)))|(![X0]: s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,X))),s(bool,XI_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t))))))&(![X,XI_]: ((p(s(bool,X))&p(s(bool,XI_)))|~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(XI_,X)),s(bool,X))),s(bool,XI_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(XI_,X)),s(bool,t))),s(bool,t)))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f2858])).
% 43.81/6.95 fof(f2860,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,X0))|~p(s(bool,X1))|s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X2),s(bool,X0))),s(bool,X1)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X2),s(bool,t))),s(bool,t))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2859])).
% 43.81/6.95 fof(f2861,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,X0))|~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(X1,X0)),s(bool,X0))),s(bool,X1)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(X1,X0)),s(bool,t))),s(bool,t))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2859])).
% 43.81/6.95 fof(f2862,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,X0))|~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(X0,X1)),s(bool,X1))),s(bool,X0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(X0,X1)),s(bool,t))),s(bool,t))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2859])).
% 43.81/6.95 fof(f2863,plain,(
% 43.81/6.95 ![X,XI_]: ((~p(s(bool,X))|p(s(bool,XI_)))<=>((p(s(bool,X))&p(s(bool,XI_)))<=>p(s(bool,X))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 43.81/6.95 fof(f2864,plain,(
% 43.81/6.95 ![X,XI_]: (pd0_0(XI_,X)<=>((p(s(bool,X))&p(s(bool,XI_)))<=>p(s(bool,X))))),
% 43.81/6.95 introduced(predicate_definition,[f2863])).
% 43.81/6.95 fof(f2865,plain,(
% 43.81/6.95 ![X,XI_]: ((~p(s(bool,X))|p(s(bool,XI_)))<=>pd0_0(XI_,X))),
% 43.81/6.95 inference(formula_renaming,[status(thm)],[f2863,f2864])).
% 43.81/6.95 fof(f2866,plain,(
% 43.81/6.95 ![X,XI_]: (((p(s(bool,X))&~p(s(bool,XI_)))|pd0_0(XI_,X))&((~p(s(bool,X))|p(s(bool,XI_)))|~pd0_0(XI_,X)))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f2865])).
% 43.81/6.95 fof(f2867,plain,(
% 43.81/6.95 (![X,XI_]: ((p(s(bool,X))&~p(s(bool,XI_)))|pd0_0(XI_,X)))&(![X,XI_]: ((~p(s(bool,X))|p(s(bool,XI_)))|~pd0_0(XI_,X)))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f2866])).
% 43.81/6.95 fof(f2869,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,X0))|pd0_0(X0,X1))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2867])).
% 43.81/6.95 fof(f2870,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,X0))|p(s(bool,X1))|~pd0_0(X1,X0))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2867])).
% 43.81/6.95 fof(f2884,plain,(
% 43.81/6.95 ![X,XI_]: ((p(s(bool,X))|p(s(bool,XI_)))<=>(![R0]: ((p(s(bool,X))&~p(s(bool,R0)))|((p(s(bool,XI_))&~p(s(bool,R0)))|p(s(bool,R0))))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 43.81/6.95 fof(f2885,plain,(
% 43.81/6.95 ![X,XI_,R0]: (pd0_1(R0,XI_,X)<=>((p(s(bool,X))&~p(s(bool,R0)))|((p(s(bool,XI_))&~p(s(bool,R0)))|p(s(bool,R0)))))),
% 43.81/6.95 introduced(predicate_definition,[f2884])).
% 43.81/6.95 fof(f2886,plain,(
% 43.81/6.95 ![X,XI_]: ((p(s(bool,X))|p(s(bool,XI_)))<=>(![R0]: pd0_1(R0,XI_,X)))),
% 43.81/6.95 inference(formula_renaming,[status(thm)],[f2884,f2885])).
% 43.81/6.95 fof(f2887,plain,(
% 43.81/6.95 ![X,XI_]: (((~p(s(bool,X))&~p(s(bool,XI_)))|(![R0]: pd0_1(R0,XI_,X)))&((p(s(bool,X))|p(s(bool,XI_)))|(?[R0]: ~pd0_1(R0,XI_,X))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f2886])).
% 43.81/6.95 fof(f2888,plain,(
% 43.81/6.95 (![X,XI_]: ((~p(s(bool,X))&~p(s(bool,XI_)))|(![R0]: pd0_1(R0,XI_,X))))&(![X,XI_]: ((p(s(bool,X))|p(s(bool,XI_)))|(?[R0]: ~pd0_1(R0,XI_,X))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f2887])).
% 43.81/6.95 fof(f2889,plain,(
% 43.81/6.95 (![X,XI_]: ((~p(s(bool,X))&~p(s(bool,XI_)))|(![R0]: pd0_1(R0,XI_,X))))&(![X,XI_]: ((p(s(bool,X))|p(s(bool,XI_)))|~pd0_1(sk0_4(XI_,X),XI_,X)))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f2888])).
% 43.81/6.95 fof(f2890,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,X0))|pd0_1(X1,X2,X0))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2889])).
% 43.81/6.95 fof(f2891,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,X0))|pd0_1(X1,X0,X2))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2889])).
% 43.81/6.95 fof(f2892,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,X0))|p(s(bool,X1))|~pd0_1(sk0_4(X1,X0),X1,X0))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2889])).
% 43.81/6.95 fof(f2893,plain,(
% 43.81/6.95 (~p(s(bool,f0))|(![P0]: p(s(bool,P0))))&(p(s(bool,f0))|(?[P0]: ~p(s(bool,P0))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f9])).
% 43.81/6.95 fof(f2894,plain,(
% 43.81/6.95 (~p(s(bool,f0))|(![P0]: p(s(bool,P0))))&(p(s(bool,f0))|~p(s(bool,sk0_5)))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f2893])).
% 43.81/6.95 fof(f2896,plain,(
% 43.81/6.95 p(s(bool,f0))|~p(s(bool,sk0_5))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2894])).
% 43.81/6.95 fof(f2897,plain,(
% 43.81/6.95 ![X]: (~p(s(bool,X))<=>(~p(s(bool,X))|p(s(bool,f0))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 43.81/6.95 fof(f2898,plain,(
% 43.81/6.95 ![X]: ((p(s(bool,X))|(~p(s(bool,X))|p(s(bool,f0))))&(~p(s(bool,X))|(p(s(bool,X))&~p(s(bool,f0)))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f2897])).
% 43.81/6.95 fof(f2899,plain,(
% 43.81/6.95 (![X]: (p(s(bool,X))|(~p(s(bool,X))|p(s(bool,f0)))))&(![X]: (~p(s(bool,X))|(p(s(bool,X))&~p(s(bool,f0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f2898])).
% 43.81/6.95 fof(f2900,plain,(
% 43.81/6.95 ![X0]: (p(s(bool,X0))|~p(s(bool,X0))|p(s(bool,f0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2899])).
% 43.81/6.95 fof(f2904,plain,(
% 43.81/6.95 s(bool,u_falsityu_)=s(bool,f0)),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12])).
% 43.81/6.95 fof(f2914,plain,(
% 43.81/6.95 ![A,X]: ((~s(A,X)=s(A,X)|p(s(bool,t)))&(s(A,X)=s(A,X)|~p(s(bool,t))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f15])).
% 43.81/6.95 fof(f2915,plain,(
% 43.81/6.95 ((![A,X]: ~s(A,X)=s(A,X))|p(s(bool,t)))&((![A,X]: s(A,X)=s(A,X))|~p(s(bool,t)))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f2914])).
% 43.81/6.95 fof(f2916,plain,(
% 43.81/6.95 ![X0,X1]: (~s(X0,X1)=s(X0,X1)|p(s(bool,t)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2915])).
% 43.81/6.95 fof(f2917,plain,(
% 43.81/6.95 ![X0,X1]: (s(X0,X1)=s(X0,X1)|~p(s(bool,t)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2915])).
% 43.81/6.95 fof(f3032,plain,(
% 43.81/6.95 ![P0,Q0,R0]: (pd0_2(R0,Q0,P0)<=>(p(s(bool,P0))&(p(s(bool,Q0))|p(s(bool,R0)))))),
% 43.81/6.95 introduced(predicate_definition,[f37])).
% 43.81/6.95 fof(f3033,plain,(
% 43.81/6.95 ![P0,Q0,R0]: (pd0_2(R0,Q0,P0)<=>((p(s(bool,P0))&p(s(bool,Q0)))|(p(s(bool,P0))&p(s(bool,R0)))))),
% 43.81/6.95 inference(formula_renaming,[status(thm)],[f37,f3032])).
% 43.81/6.95 fof(f3034,plain,(
% 43.81/6.95 ![P0,Q0,R0]: ((~pd0_2(R0,Q0,P0)|((p(s(bool,P0))&p(s(bool,Q0)))|(p(s(bool,P0))&p(s(bool,R0)))))&(pd0_2(R0,Q0,P0)|((~p(s(bool,P0))|~p(s(bool,Q0)))&(~p(s(bool,P0))|~p(s(bool,R0))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3033])).
% 43.81/6.95 fof(f3035,plain,(
% 43.81/6.95 (![P0,Q0,R0]: (~pd0_2(R0,Q0,P0)|((p(s(bool,P0))&p(s(bool,Q0)))|(p(s(bool,P0))&p(s(bool,R0))))))&(![P0,Q0,R0]: (pd0_2(R0,Q0,P0)|((~p(s(bool,P0))|~p(s(bool,Q0)))&(~p(s(bool,P0))|~p(s(bool,R0))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3034])).
% 43.81/6.95 fof(f3040,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|~p(s(bool,X2))|~p(s(bool,X1)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3035])).
% 43.81/6.95 fof(f3041,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|~p(s(bool,X2))|~p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3035])).
% 43.81/6.95 fof(f3042,plain,(
% 43.81/6.95 ![P0,Q0,R0]: (pd0_3(R0,Q0,P0)<=>((p(s(bool,P0))|p(s(bool,Q0)))&p(s(bool,R0))))),
% 43.81/6.95 introduced(predicate_definition,[f38])).
% 43.81/6.95 fof(f3043,plain,(
% 43.81/6.95 ![P0,Q0,R0]: (pd0_3(R0,Q0,P0)<=>((p(s(bool,P0))&p(s(bool,R0)))|(p(s(bool,Q0))&p(s(bool,R0)))))),
% 43.81/6.95 inference(formula_renaming,[status(thm)],[f38,f3042])).
% 43.81/6.95 fof(f3044,plain,(
% 43.81/6.95 ![P0,Q0,R0]: ((~pd0_3(R0,Q0,P0)|((p(s(bool,P0))&p(s(bool,R0)))|(p(s(bool,Q0))&p(s(bool,R0)))))&(pd0_3(R0,Q0,P0)|((~p(s(bool,P0))|~p(s(bool,R0)))&(~p(s(bool,Q0))|~p(s(bool,R0))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3043])).
% 43.81/6.95 fof(f3045,plain,(
% 43.81/6.95 (![P0,Q0,R0]: (~pd0_3(R0,Q0,P0)|((p(s(bool,P0))&p(s(bool,R0)))|(p(s(bool,Q0))&p(s(bool,R0))))))&(![P0,Q0,R0]: (pd0_3(R0,Q0,P0)|((~p(s(bool,P0))|~p(s(bool,R0)))&(~p(s(bool,Q0))|~p(s(bool,R0))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3044])).
% 43.81/6.95 fof(f3050,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_3(X0,X1,X2)|~p(s(bool,X2))|~p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3045])).
% 43.81/6.95 fof(f3051,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_3(X0,X1,X2)|~p(s(bool,X1))|~p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3045])).
% 43.81/6.95 fof(f3062,plain,(
% 43.81/6.95 ![T0]: (((((~s(bool,t)=s(bool,T0)|p(s(bool,T0)))&(s(bool,t)=s(bool,T0)|~p(s(bool,T0))))&((~s(bool,T0)=s(bool,t)|p(s(bool,T0)))&(s(bool,T0)=s(bool,t)|~p(s(bool,T0)))))&((~s(bool,f0)=s(bool,T0)|~p(s(bool,T0)))&(s(bool,f0)=s(bool,T0)|p(s(bool,T0)))))&((~s(bool,T0)=s(bool,f0)|~p(s(bool,T0)))&(s(bool,T0)=s(bool,f0)|p(s(bool,T0)))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f42])).
% 43.81/6.95 fof(f3063,plain,(
% 43.81/6.95 ((((![T0]: (~s(bool,t)=s(bool,T0)|p(s(bool,T0))))&(![T0]: (s(bool,t)=s(bool,T0)|~p(s(bool,T0)))))&((![T0]: (~s(bool,T0)=s(bool,t)|p(s(bool,T0))))&(![T0]: (s(bool,T0)=s(bool,t)|~p(s(bool,T0))))))&((![T0]: (~s(bool,f0)=s(bool,T0)|~p(s(bool,T0))))&(![T0]: (s(bool,f0)=s(bool,T0)|p(s(bool,T0))))))&((![T0]: (~s(bool,T0)=s(bool,f0)|~p(s(bool,T0))))&(![T0]: (s(bool,T0)=s(bool,f0)|p(s(bool,T0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3062])).
% 43.81/6.95 fof(f3064,plain,(
% 43.81/6.95 ![X0]: (~s(bool,t)=s(bool,X0)|p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3063])).
% 43.81/6.95 fof(f3065,plain,(
% 43.81/6.95 ![X0]: (s(bool,t)=s(bool,X0)|~p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3063])).
% 43.81/6.95 fof(f3066,plain,(
% 43.81/6.95 ![X0]: (~s(bool,X0)=s(bool,t)|p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3063])).
% 43.81/6.95 fof(f3068,plain,(
% 43.81/6.95 ![X0]: (~s(bool,f0)=s(bool,X0)|~p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3063])).
% 43.81/6.95 fof(f3069,plain,(
% 43.81/6.95 ![X0]: (s(bool,f0)=s(bool,X0)|p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3063])).
% 43.81/6.95 fof(f3073,plain,(
% 43.81/6.95 (p(s(bool,f0))|p(s(bool,t)))&(~p(s(bool,f0))|~p(s(bool,t)))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f44])).
% 43.81/6.95 fof(f3075,plain,(
% 43.81/6.95 ~p(s(bool,f0))|~p(s(bool,t))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3073])).
% 43.81/6.95 fof(f3142,plain,(
% 43.81/6.95 ![A,A5]: s(A,sk0_12(A5,A))=s(A,A5)),
% 43.81/6.95 inference(skolemization,[status(esa)],[f50])).
% 43.81/6.95 fof(f3143,plain,(
% 43.81/6.95 ![X0,X1]: (s(X0,sk0_12(X1,X0))=s(X0,X1))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3142])).
% 43.81/6.95 fof(f3144,plain,(
% 43.81/6.95 ![A,A5]: ((?[X]: s(A,X)=s(A,A5))&(![X,XI_]: ((~s(A,X)=s(A,A5)|~s(A,XI_)=s(A,A5))|s(A,X)=s(A,XI_))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 43.81/6.95 fof(f3145,plain,(
% 43.81/6.95 (![A,A5]: ?[X]: s(A,X)=s(A,A5))&(![A,X,XI_]: ((![A5]: (~s(A,X)=s(A,A5)|~s(A,XI_)=s(A,A5)))|s(A,X)=s(A,XI_)))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3144])).
% 43.81/6.95 fof(f3146,plain,(
% 43.81/6.95 (![A,A5]: s(A,sk0_13(A5,A))=s(A,A5))&(![A,X,XI_]: ((![A5]: (~s(A,X)=s(A,A5)|~s(A,XI_)=s(A,A5)))|s(A,X)=s(A,XI_)))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3145])).
% 43.81/6.95 fof(f3147,plain,(
% 43.81/6.95 ![X0,X1]: (s(X0,sk0_13(X1,X0))=s(X0,X1))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3146])).
% 43.81/6.95 fof(f3149,plain,(
% 43.81/6.95 ![A,P0,A5]: (((![X]: (~s(A,A5)=s(A,X)|~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5)))))&((?[X]: (s(A,A5)=s(A,X)&p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f52])).
% 43.81/6.95 fof(f3150,plain,(
% 43.81/6.95 (![A,P0,A5]: ((![X]: (~s(A,A5)=s(A,X)|~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))&(![A,P0,A5]: ((?[X]: (s(A,A5)=s(A,X)&p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3149])).
% 43.81/6.95 fof(f3151,plain,(
% 43.81/6.95 (![A,P0,A5]: ((![X]: (~s(A,A5)=s(A,X)|~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))&(![A,P0,A5]: ((s(A,A5)=s(A,sk0_14(A5,P0,A))&p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_14(A5,P0,A))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3150])).
% 43.81/6.95 fof(f3152,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~s(X0,X1)=s(X0,X2)|~p(s(bool,i(s(fun(X0,bool),X3),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X3),s(X0,X1)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3151])).
% 43.81/6.95 fof(f3153,plain,(
% 43.81/6.95 ![X0,X1,X2]: (s(X0,X1)=s(X0,sk0_14(X1,X2,X0))|~p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3151])).
% 43.81/6.95 fof(f3154,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_14(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3151])).
% 43.81/6.95 fof(f3155,plain,(
% 43.81/6.95 ![A,P0,A5]: (((![X]: (~s(A,X)=s(A,A5)|~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5)))))&((?[X]: (s(A,X)=s(A,A5)&p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f53])).
% 43.81/6.95 fof(f3156,plain,(
% 43.81/6.95 (![A,P0,A5]: ((![X]: (~s(A,X)=s(A,A5)|~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))&(![A,P0,A5]: ((?[X]: (s(A,X)=s(A,A5)&p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3155])).
% 43.81/6.95 fof(f3157,plain,(
% 43.81/6.95 (![A,P0,A5]: ((![X]: (~s(A,X)=s(A,A5)|~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))&(![A,P0,A5]: ((s(A,sk0_15(A5,P0,A))=s(A,A5)&p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_15(A5,P0,A))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3156])).
% 43.81/6.95 fof(f3159,plain,(
% 43.81/6.95 ![X0,X1,X2]: (s(X0,sk0_15(X1,X2,X0))=s(X0,X1)|~p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3157])).
% 43.81/6.95 fof(f3160,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_15(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3157])).
% 43.81/6.95 fof(f3161,plain,(
% 43.81/6.95 ![A,P0,A5]: ((![X]: (~s(A,X)=s(A,A5)|p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))<=>p(s(bool,i(s(fun(A,bool),P0),s(A,A5)))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 43.81/6.95 fof(f3162,plain,(
% 43.81/6.95 ![A,P0,A5]: (((?[X]: (s(A,X)=s(A,A5)&~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5)))))&((![X]: (~s(A,X)=s(A,A5)|p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3161])).
% 43.81/6.95 fof(f3163,plain,(
% 43.81/6.95 (![A,P0,A5]: ((?[X]: (s(A,X)=s(A,A5)&~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))&(![A,P0,A5]: ((![X]: (~s(A,X)=s(A,A5)|p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3162])).
% 43.81/6.95 fof(f3164,plain,(
% 43.81/6.95 (![A,P0,A5]: ((s(A,sk0_16(A5,P0,A))=s(A,A5)&~p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_16(A5,P0,A))))))|p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))&(![A,P0,A5]: ((![X]: (~s(A,X)=s(A,A5)|p(s(bool,i(s(fun(A,bool),P0),s(A,X))))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,A5))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3163])).
% 43.81/6.95 fof(f3165,plain,(
% 43.81/6.95 ![X0,X1,X2]: (s(X0,sk0_16(X1,X2,X0))=s(X0,X1)|p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3164])).
% 43.81/6.95 fof(f3168,plain,(
% 43.81/6.95 ![Q1020,P0,A5]: ((![X]: (~s(Q1020,A5)=s(Q1020,X)|p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,X))))))<=>p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,A5)))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 43.81/6.95 fof(f3169,plain,(
% 43.81/6.95 ![Q1020,P0,A5]: (((?[X]: (s(Q1020,A5)=s(Q1020,X)&~p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,X))))))|p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,A5)))))&((![X]: (~s(Q1020,A5)=s(Q1020,X)|p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,X))))))|~p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,A5))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3168])).
% 43.81/6.95 fof(f3170,plain,(
% 43.81/6.95 (![Q1020,P0,A5]: ((?[X]: (s(Q1020,A5)=s(Q1020,X)&~p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,X))))))|p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,A5))))))&(![Q1020,P0,A5]: ((![X]: (~s(Q1020,A5)=s(Q1020,X)|p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,X))))))|~p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,A5))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3169])).
% 43.81/6.95 fof(f3171,plain,(
% 43.81/6.95 (![Q1020,P0,A5]: ((s(Q1020,A5)=s(Q1020,sk0_17(A5,P0,Q1020))&~p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,sk0_17(A5,P0,Q1020))))))|p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,A5))))))&(![Q1020,P0,A5]: ((![X]: (~s(Q1020,A5)=s(Q1020,X)|p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,X))))))|~p(s(bool,i(s(fun(Q1020,bool),P0),s(Q1020,A5))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3170])).
% 43.81/6.95 fof(f3172,plain,(
% 43.81/6.95 ![X0,X1,X2]: (s(X0,X1)=s(X0,sk0_17(X1,X2,X0))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3171])).
% 43.81/6.95 fof(f3180,plain,(
% 43.81/6.95 ![A,B,P0]: (((![X,Y]: ~p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))|(?[Y,X]: p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y))))))&((?[X,Y]: p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))|(![Y,X]: ~p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f57])).
% 43.81/6.95 fof(f3181,plain,(
% 43.81/6.95 (![A,B,P0]: ((![X,Y]: ~p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))|(?[Y,X]: p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))))&(![A,B,P0]: ((?[X,Y]: p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))|(![Y,X]: ~p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3180])).
% 43.81/6.95 fof(f3182,plain,(
% 43.81/6.95 (![A,B,P0]: ((![X,Y]: ~p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))|p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,sk0_23(P0,B,A)))),s(B,sk0_22(P0,B,A)))))))&(![A,B,P0]: (p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,sk0_24(P0,B,A)))),s(B,sk0_25(P0,B,A)))))|(![Y,X]: ~p(s(bool,i(s(fun(B,bool),i(s(fun(A,fun(B,bool)),P0),s(A,X))),s(B,Y)))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3181])).
% 43.81/6.95 fof(f3183,plain,(
% 43.81/6.95 ![X0,X1,X2,X3,X4]: (~p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X3))),s(X0,X4))))|p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,sk0_23(X2,X0,X1)))),s(X0,sk0_22(X2,X0,X1))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3182])).
% 43.81/6.95 fof(f3184,plain,(
% 43.81/6.95 ![X0,X1,X2,X3,X4]: (p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,sk0_24(X2,X0,X1)))),s(X0,sk0_25(X2,X0,X1)))))|~p(s(bool,i(s(fun(X0,bool),i(s(fun(X1,fun(X0,bool)),X2),s(X1,X3))),s(X0,X4)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3182])).
% 43.81/6.95 fof(f3213,plain,(
% 43.81/6.95 ![A,P0,Q0]: (((![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))))))&((?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f62])).
% 43.81/6.95 fof(f3214,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))&(![A,P0,Q0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3213])).
% 43.81/6.95 fof(f3215,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_38(Q0,P0,A)))))|p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_39(Q0,P0,A))))))))&(![A,P0,Q0]: ((p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_40(Q0,P0,A)))))|p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_41(Q0,P0,A))))))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3214])).
% 43.81/6.95 fof(f3216,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_38(X3,X1,X0)))))|p(s(bool,i(s(fun(X0,bool),X3),s(X0,sk0_39(X3,X1,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3215])).
% 43.81/6.95 fof(f3217,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X3),s(X0,sk0_38(X1,X3,X0)))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_39(X1,X3,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3215])).
% 43.81/6.95 fof(f3218,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_40(X2,X1,X0)))))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,sk0_41(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3215])).
% 43.81/6.95 fof(f3219,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_40(X2,X1,X0)))))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,sk0_41(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X2),s(X0,X3)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3215])).
% 43.81/6.95 fof(f3220,plain,(
% 43.81/6.95 ![A,P0,Q0]: ((((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))))))&(((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f63])).
% 43.81/6.95 fof(f3221,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))&(![A,P0,Q0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3220])).
% 43.81/6.95 fof(f3222,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_42(Q0,P0,A)))))|p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_43(Q0,P0,A))))))))&(![A,P0,Q0]: ((p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_44(Q0,P0,A)))))|p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_45(Q0,P0,A))))))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3221])).
% 43.81/6.95 fof(f3223,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_42(X3,X1,X0)))))|p(s(bool,i(s(fun(X0,bool),X3),s(X0,sk0_43(X3,X1,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3222])).
% 43.81/6.95 fof(f3224,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X3),s(X0,sk0_42(X1,X3,X0)))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_43(X1,X3,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3222])).
% 43.81/6.95 fof(f3225,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_44(X2,X1,X0)))))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,sk0_45(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3222])).
% 43.81/6.95 fof(f3226,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_44(X2,X1,X0)))))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,sk0_45(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X2),s(X0,X3)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3222])).
% 43.81/6.95 fof(f3227,plain,(
% 43.81/6.95 ![A,P0,Q0]: ((((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))|(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|p(s(bool,Q0)))))&(((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))|(![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&~p(s(bool,Q0))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f64])).
% 43.81/6.95 fof(f3228,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))))&(![A,P0,Q0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3227])).
% 43.81/6.95 fof(f3229,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_46(Q0,P0,A)))))|p(s(bool,Q0)))))&(![A,P0,Q0]: ((p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_47(Q0,P0,A)))))|p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3228])).
% 43.81/6.95 fof(f3230,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_46(X3,X1,X0)))))|p(s(bool,X3)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3229])).
% 43.81/6.95 fof(f3232,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_47(X2,X1,X0)))))|p(s(bool,X2))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3229])).
% 43.81/6.95 fof(f3234,plain,(
% 43.81/6.95 ![A,P0,Q0]: (((~p(s(bool,P0))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(?[X]: (p(s(bool,P0))|p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))))))&((p(s(bool,P0))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(![X]: (~p(s(bool,P0))&~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f65])).
% 43.81/6.95 fof(f3235,plain,(
% 43.81/6.95 (![A,P0,Q0]: ((~p(s(bool,P0))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,P0))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))&(![A,P0,Q0]: ((p(s(bool,P0))|(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(~p(s(bool,P0))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3234])).
% 43.81/6.95 fof(f3236,plain,(
% 43.81/6.95 (![A,P0,Q0]: ((~p(s(bool,P0))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,P0))|p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_48(Q0,P0,A))))))))&(![A,P0,Q0]: ((p(s(bool,P0))|p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_49(Q0,P0,A))))))|(~p(s(bool,P0))&(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3235])).
% 43.81/6.95 fof(f3238,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,X3))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_48(X1,X3,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3236])).
% 43.81/6.95 fof(f3240,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,X0))|p(s(bool,i(s(fun(X1,bool),X2),s(X1,sk0_49(X2,X0,X1)))))|~p(s(bool,i(s(fun(X1,bool),X2),s(X1,X3)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3236])).
% 43.81/6.95 fof(f3241,plain,(
% 43.81/6.95 ![A,P0,Q0]: (((![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,Q0))))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&p(s(bool,Q0))))&((?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&p(s(bool,Q0))))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f66])).
% 43.81/6.95 fof(f3242,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&p(s(bool,Q0)))))&(![A,P0,Q0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3241])).
% 43.81/6.95 fof(f3243,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_50(Q0,P0,A)))))&p(s(bool,Q0)))))&(![A,P0,Q0]: ((p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_51(Q0,P0,A)))))&p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3242])).
% 43.81/6.95 fof(f3244,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|~p(s(bool,X3))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_50(X3,X1,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3243])).
% 43.81/6.95 fof(f3246,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_51(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))|~p(s(bool,X2)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3243])).
% 43.81/6.95 fof(f3248,plain,(
% 43.81/6.95 ![A,P0,Q0]: (((![X]: (~p(s(bool,P0))|~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,P0))&(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))))))&((?[X]: (p(s(bool,P0))&p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f67])).
% 43.81/6.95 fof(f3249,plain,(
% 43.81/6.95 (![A,P0,Q0]: ((~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,P0))&(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))&(![A,P0,Q0]: ((p(s(bool,P0))&(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3248])).
% 43.81/6.95 fof(f3250,plain,(
% 43.81/6.95 (![A,P0,Q0]: ((~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,P0))&p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_52(Q0,P0,A))))))))&(![A,P0,Q0]: ((p(s(bool,P0))&p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_53(Q0,P0,A))))))|(~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3249])).
% 43.81/6.95 fof(f3252,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,X0))|~p(s(bool,i(s(fun(X1,bool),X2),s(X1,X3))))|p(s(bool,i(s(fun(X1,bool),X2),s(X1,sk0_52(X2,X0,X1))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3250])).
% 43.81/6.95 fof(f3254,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_53(X1,X2,X0)))))|~p(s(bool,X2))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3250])).
% 43.81/6.95 fof(f3261,plain,(
% 43.81/6.95 ![A,P0,Q0]: ((((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))|(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&p(s(bool,Q0)))))&(((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&p(s(bool,Q0)))|(![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,Q0))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f69])).
% 43.81/6.95 fof(f3262,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&p(s(bool,Q0)))))&(![A,P0,Q0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3261])).
% 43.81/6.95 fof(f3263,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_54(Q0,P0,A)))))&p(s(bool,Q0)))))&(![A,P0,Q0]: ((p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_55(Q0,P0,A)))))&p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~p(s(bool,Q0)))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3262])).
% 43.81/6.95 fof(f3264,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|~p(s(bool,X3))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_54(X3,X1,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3263])).
% 43.81/6.95 fof(f3266,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_55(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))|~p(s(bool,X2)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3263])).
% 43.81/6.95 fof(f3268,plain,(
% 43.81/6.95 ![A,P0,Q0]: (((~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(?[X]: (p(s(bool,P0))&p(s(bool,i(s(fun(A,bool),Q0),s(A,X)))))))&((p(s(bool,P0))&(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(![X]: (~p(s(bool,P0))|~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f70])).
% 43.81/6.95 fof(f3269,plain,(
% 43.81/6.95 (![A,P0,Q0]: ((~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,P0))&(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))&(![A,P0,Q0]: ((p(s(bool,P0))&(?[X]: p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3268])).
% 43.81/6.95 fof(f3270,plain,(
% 43.81/6.95 (![A,P0,Q0]: ((~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))|(p(s(bool,P0))&p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_56(Q0,P0,A))))))))&(![A,P0,Q0]: ((p(s(bool,P0))&p(s(bool,i(s(fun(A,bool),Q0),s(A,sk0_57(Q0,P0,A))))))|(~p(s(bool,P0))|(![X]: ~p(s(bool,i(s(fun(A,bool),Q0),s(A,X))))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3269])).
% 43.81/6.95 fof(f3272,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,X0))|~p(s(bool,i(s(fun(X1,bool),X2),s(X1,X3))))|p(s(bool,i(s(fun(X1,bool),X2),s(X1,sk0_56(X2,X0,X1))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3270])).
% 43.81/6.95 fof(f3274,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_57(X1,X2,X0)))))|~p(s(bool,X2))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3270])).
% 43.81/6.95 fof(f3309,plain,(
% 43.81/6.95 ![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))<=>(![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|p(s(bool,Q0)))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 43.81/6.95 fof(f3310,plain,(
% 43.81/6.95 ![A,P0,Q0]: ((((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))|(![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|p(s(bool,Q0)))))&(((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))|(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&~p(s(bool,Q0))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3309])).
% 43.81/6.95 fof(f3311,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))))&(![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3310])).
% 43.81/6.95 fof(f3312,plain,(
% 43.81/6.95 (![A,P0,Q0]: ((p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_62(Q0,P0,A)))))&~p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))))&(![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_63(Q0,P0,A)))))&~p(s(bool,Q0)))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3311])).
% 43.81/6.95 fof(f3313,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_62(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))|p(s(bool,X2)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3312])).
% 43.81/6.95 fof(f3315,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,X3))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_63(X3,X1,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3312])).
% 43.81/6.95 fof(f3317,plain,(
% 43.81/6.95 ![A,P0,Q0]: ((![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|p(s(bool,Q0))))<=>((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f77])).
% 43.81/6.95 fof(f3318,plain,(
% 43.81/6.95 ![A,P0,Q0]: (((?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&~p(s(bool,Q0))))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0))))&((![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|p(s(bool,Q0))))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3317])).
% 43.81/6.95 fof(f3319,plain,(
% 43.81/6.95 (![A,P0,Q0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))))&(![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))|((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&~p(s(bool,Q0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3318])).
% 43.81/6.95 fof(f3320,plain,(
% 43.81/6.95 (![A,P0,Q0]: ((p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_64(Q0,P0,A)))))&~p(s(bool,Q0)))|((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))))&(![A,P0,Q0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|p(s(bool,Q0)))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_65(Q0,P0,A)))))&~p(s(bool,Q0)))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3319])).
% 43.81/6.95 fof(f3321,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_64(X2,X1,X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))|p(s(bool,X2)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3320])).
% 43.81/6.95 fof(f3323,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,X3))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_65(X3,X1,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3320])).
% 43.81/6.95 fof(f3339,plain,(
% 43.81/6.95 ![A,P0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_))))<=>(?[X]: ![Y]: (p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))<=>s(A,X)=s(A,Y))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 43.81/6.95 fof(f3340,plain,(
% 43.81/6.95 ![A,P0]: (pd0_6(P0,A)<=>((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))))),
% 43.81/6.95 introduced(predicate_definition,[f3339])).
% 43.81/6.95 fof(f3341,plain,(
% 43.81/6.95 ![A,P0]: (pd0_6(P0,A)<=>(?[X]: ![Y]: (p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))<=>s(A,X)=s(A,Y))))),
% 43.81/6.95 inference(formula_renaming,[status(thm)],[f3339,f3340])).
% 43.81/6.95 fof(f3342,plain,(
% 43.81/6.95 ![A,P0]: ((~pd0_6(P0,A)|(?[X]: ![Y]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,X)=s(A,Y))&(p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|~s(A,X)=s(A,Y)))))&(pd0_6(P0,A)|(![X]: ?[Y]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|~s(A,X)=s(A,Y))&(p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,X)=s(A,Y))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3341])).
% 43.81/6.95 fof(f3343,plain,(
% 43.81/6.95 (![A,P0]: (~pd0_6(P0,A)|(?[X]: ((![Y]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,X)=s(A,Y)))&(![Y]: (p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|~s(A,X)=s(A,Y)))))))&(![A,P0]: (pd0_6(P0,A)|(![X]: ?[Y]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|~s(A,X)=s(A,Y))&(p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,X)=s(A,Y))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3342])).
% 43.81/6.95 fof(f3344,plain,(
% 43.81/6.95 (![A,P0]: (~pd0_6(P0,A)|((![Y]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,sk0_66(P0,A))=s(A,Y)))&(![Y]: (p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|~s(A,sk0_66(P0,A))=s(A,Y))))))&(![A,P0]: (pd0_6(P0,A)|(![X]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_67(X,P0,A)))))|~s(A,X)=s(A,sk0_67(X,P0,A)))&(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_67(X,P0,A)))))|s(A,X)=s(A,sk0_67(X,P0,A)))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3343])).
% 43.81/6.95 fof(f3345,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~pd0_6(X0,X1)|~p(s(bool,i(s(fun(X1,bool),X0),s(X1,X2))))|s(X1,sk0_66(X0,X1))=s(X1,X2))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3344])).
% 43.81/6.95 fof(f3357,plain,(
% 43.81/6.95 ![A,P0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: ((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_))))<=>(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&(![Y]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,Y)=s(A,X))))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 43.81/6.95 fof(f3358,plain,(
% 43.81/6.95 ![A,P0,X,XI_]: (pd0_7(XI_,X,P0,A)<=>((~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|~p(s(bool,i(s(fun(A,bool),P0),s(A,XI_)))))|s(A,X)=s(A,XI_)))),
% 43.81/6.95 introduced(predicate_definition,[f3357])).
% 43.81/6.95 fof(f3359,plain,(
% 43.81/6.95 ![A,P0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: pd0_7(XI_,X,P0,A)))<=>(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&(![Y]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,Y)=s(A,X))))))),
% 43.81/6.95 inference(formula_renaming,[status(thm)],[f3357,f3358])).
% 43.81/6.95 fof(f3360,plain,(
% 43.81/6.95 ![A,P0]: ((((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|(?[X,XI_]: ~pd0_7(XI_,X,P0,A)))|(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&(![Y]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,Y)=s(A,X))))))&(((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: pd0_7(XI_,X,P0,A)))|(![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|(?[Y]: (p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))&~s(A,Y)=s(A,X)))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3359])).
% 43.81/6.95 fof(f3361,plain,(
% 43.81/6.95 (![A,P0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|(?[X,XI_]: ~pd0_7(XI_,X,P0,A)))|(?[X]: (p(s(bool,i(s(fun(A,bool),P0),s(A,X))))&(![Y]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,Y)=s(A,X)))))))&(![A,P0]: (((?[X]: p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))&(![X,XI_]: pd0_7(XI_,X,P0,A)))|(![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|(?[Y]: (p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))&~s(A,Y)=s(A,X)))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f3360])).
% 43.81/6.95 fof(f3362,plain,(
% 43.81/6.95 (![A,P0]: (((![X]: ~p(s(bool,i(s(fun(A,bool),P0),s(A,X)))))|~pd0_7(sk0_69(P0,A),sk0_68(P0,A),P0,A))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_70(P0,A)))))&(![Y]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,Y))))|s(A,Y)=s(A,sk0_70(P0,A)))))))&(![A,P0]: ((p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_71(P0,A)))))&(![X,XI_]: pd0_7(XI_,X,P0,A)))|(![X]: (~p(s(bool,i(s(fun(A,bool),P0),s(A,X))))|(p(s(bool,i(s(fun(A,bool),P0),s(A,sk0_72(X,P0,A)))))&~s(A,sk0_72(X,P0,A))=s(A,X))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f3361])).
% 43.81/6.95 fof(f3363,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|~pd0_7(sk0_69(X1,X0),sk0_68(X1,X0),X1,X0)|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_70(X1,X0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3362])).
% 43.81/6.95 fof(f3364,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|~pd0_7(sk0_69(X1,X0),sk0_68(X1,X0),X1,X0)|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))|s(X0,X3)=s(X0,sk0_70(X1,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3362])).
% 43.81/6.95 fof(f3867,plain,(
% 43.81/6.95 (~s(num,u_0)=s(num,u_0)|p(s(bool,t)))&(s(num,u_0)=s(num,u_0)|~p(s(bool,t)))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f199])).
% 43.81/6.95 fof(f3869,plain,(
% 43.81/6.95 s(num,u_0)=s(num,u_0)|~p(s(bool,t))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f3867])).
% 43.81/6.95 fof(f3870,plain,(
% 43.81/6.95 ![X0]: (s(num,i(s(fun(num,num),numeral),s(num,X0)))=s(num,X0))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f200])).
% 43.81/6.95 fof(f4321,plain,(
% 43.81/6.95 ![M0,N0,V]: (pd0_22(V,N0,M0)<=>(p(s(bool,V))<=>(s(num,M0)=s(num,i(s(fun(num,num),numeral),s(num,u_0)))<=>s(num,N0)=s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),
% 43.81/6.95 introduced(predicate_definition,[f384])).
% 43.81/6.95 fof(f4862,plain,(
% 43.81/6.95 ![N0]: ((~s(num,i(s(fun(num,num),bit1),s(num,N0)))=s(num,u_0)|p(s(bool,f0)))&(s(num,i(s(fun(num,num),bit1),s(num,N0)))=s(num,u_0)|~p(s(bool,f0))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f568])).
% 43.81/6.95 fof(f4863,plain,(
% 43.81/6.95 ((![N0]: ~s(num,i(s(fun(num,num),bit1),s(num,N0)))=s(num,u_0))|p(s(bool,f0)))&((![N0]: s(num,i(s(fun(num,num),bit1),s(num,N0)))=s(num,u_0))|~p(s(bool,f0)))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f4862])).
% 43.81/6.95 fof(f4864,plain,(
% 43.81/6.95 ![X0]: (~s(num,i(s(fun(num,num),bit1),s(num,X0)))=s(num,u_0)|p(s(bool,f0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f4863])).
% 43.81/6.95 fof(f4878,plain,(
% 43.81/6.95 ![M0,N0]: ((~s(num,i(s(fun(num,num),bit0),s(num,M0)))=s(num,i(s(fun(num,num),bit1),s(num,N0)))|p(s(bool,f0)))&(s(num,i(s(fun(num,num),bit0),s(num,M0)))=s(num,i(s(fun(num,num),bit1),s(num,N0)))|~p(s(bool,f0))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f572])).
% 43.81/6.95 fof(f4879,plain,(
% 43.81/6.95 ((![M0,N0]: ~s(num,i(s(fun(num,num),bit0),s(num,M0)))=s(num,i(s(fun(num,num),bit1),s(num,N0))))|p(s(bool,f0)))&((![M0,N0]: s(num,i(s(fun(num,num),bit0),s(num,M0)))=s(num,i(s(fun(num,num),bit1),s(num,N0))))|~p(s(bool,f0)))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f4878])).
% 43.81/6.95 fof(f4880,plain,(
% 43.81/6.95 ![X0,X1]: (~s(num,i(s(fun(num,num),bit0),s(num,X0)))=s(num,i(s(fun(num,num),bit1),s(num,X1)))|p(s(bool,f0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f4879])).
% 43.81/6.95 fof(f5943,plain,(
% 43.81/6.95 ![Y,X]: ((~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,Y))),s(real,X)))))&(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,Y))),s(real,X))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f982])).
% 43.81/6.95 fof(f5944,plain,(
% 43.81/6.95 (![Y,X]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,Y))),s(real,X))))))&(![Y,X]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,Y))),s(real,X))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f5943])).
% 43.81/6.95 fof(f5945,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f5944])).
% 43.81/6.95 fof(f5946,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f5944])).
% 43.81/6.95 fof(f6013,plain,(
% 43.81/6.95 ![X,Y]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y)))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f1020])).
% 43.81/6.95 fof(f6014,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f6013])).
% 43.81/6.95 fof(f6015,plain,(
% 43.81/6.95 ![X,Y,Z0]: ((~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,Y))),s(real,Z0)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Z0)))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f1021])).
% 43.81/6.95 fof(f6016,plain,(
% 43.81/6.95 ![X,Z0]: ((![Y]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,Y))),s(real,Z0))))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Z0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f6015])).
% 43.81/6.95 fof(f6017,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X2))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X2)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f6016])).
% 43.81/6.95 fof(f6018,plain,(
% 43.81/6.95 ![X,Y,Z0]: ((~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,Z0)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Z0)))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f1022])).
% 43.81/6.95 fof(f6019,plain,(
% 43.81/6.95 ![X,Z0]: ((![Y]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,Z0))))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Z0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f6018])).
% 43.81/6.95 fof(f6020,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X2)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f6019])).
% 43.81/6.95 fof(f6030,plain,(
% 43.81/6.95 ![X,Y]: ((~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))|(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|s(real,X)=s(real,Y)))&(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))|(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))&~s(real,X)=s(real,Y))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f1028])).
% 43.81/6.95 fof(f6031,plain,(
% 43.81/6.95 (![X,Y]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))|(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|s(real,X)=s(real,Y))))&(![X,Y]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))|(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))&~s(real,X)=s(real,Y))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f6030])).
% 43.81/6.95 fof(f6032,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|s(real,X0)=s(real,X1))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f6031])).
% 43.81/6.95 fof(f6044,plain,(
% 43.81/6.95 ![X,Y]: ((~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))&~s(real,X)=s(real,Y)))&(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))|s(real,X)=s(real,Y))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f1032])).
% 43.81/6.95 fof(f6045,plain,(
% 43.81/6.95 (![X,Y]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))&~s(real,X)=s(real,Y))))&(![X,Y]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X))),s(real,Y))))|s(real,X)=s(real,Y))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f6044])).
% 43.81/6.95 fof(f6047,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|~s(real,X0)=s(real,X1))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f6045])).
% 43.81/6.95 fof(f6049,plain,(
% 43.81/6.95 ![X0]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f1033])).
% 43.81/6.95 fof(f6106,plain,(
% 43.81/6.95 ![X,Y]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,X)))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f1067])).
% 43.81/6.95 fof(f6107,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f6106])).
% 43.81/6.95 fof(f6110,plain,(
% 43.81/6.95 ![X,Y]: ((s(real,X)=s(real,Y)|(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,X))))))&(~s(real,X)=s(real,Y)|(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))&~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,X)))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f1069])).
% 43.81/6.95 fof(f6111,plain,(
% 43.81/6.95 (![X,Y]: (s(real,X)=s(real,Y)|(p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,X)))))))&(![X,Y]: (~s(real,X)=s(real,Y)|(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X))),s(real,Y))))&~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,Y))),s(real,X)))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f6110])).
% 43.81/6.95 fof(f6112,plain,(
% 43.81/6.95 ![X0,X1]: (s(real,X0)=s(real,X1)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f6111])).
% 43.81/6.95 fof(f9178,plain,(
% 43.81/6.95 ![Q58981,P0]: ((![X]: (~p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))|p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X))))))<=>p(s(bool,t)))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f2041])).
% 43.81/6.95 fof(f9179,plain,(
% 43.81/6.95 ![Q58981,P0]: (((?[X]: (p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))&~p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X))))))|p(s(bool,t)))&((![X]: (~p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))|p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X))))))|~p(s(bool,t))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f9178])).
% 43.81/6.95 fof(f9180,plain,(
% 43.81/6.95 ((![Q58981,P0]: ?[X]: (p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))&~p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X))))))|p(s(bool,t)))&((![Q58981,X]: (~p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))|(![P0]: p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X)))))))|~p(s(bool,t)))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f9179])).
% 43.81/6.95 fof(f9181,plain,(
% 43.81/6.95 ((![Q58981,P0]: (p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,sk0_1408(P0,Q58981)))),s(fun(Q58981,bool),empty))))&~p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,sk0_1408(P0,Q58981)))))))|p(s(bool,t)))&((![Q58981,X]: (~p(s(bool,i(s(fun(fun(Q58981,bool),bool),i(s(fun(Q58981,fun(fun(Q58981,bool),bool)),in),s(Q58981,X))),s(fun(Q58981,bool),empty))))|(![P0]: p(s(bool,i(s(fun(Q58981,bool),P0),s(Q58981,X)))))))|~p(s(bool,t)))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f9180])).
% 43.81/6.95 fof(f9184,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),empty))))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))|~p(s(bool,t)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f9181])).
% 43.81/6.95 fof(f9194,plain,(
% 43.81/6.95 ![Q59041,P0]: (((![X]: (~p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))|~p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X))))))|p(s(bool,f0)))&((?[X]: (p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))&p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X))))))|~p(s(bool,f0))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f2043])).
% 43.81/6.95 fof(f9195,plain,(
% 43.81/6.95 ((![Q59041,X]: (~p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))|(![P0]: ~p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X)))))))|p(s(bool,f0)))&((![Q59041,P0]: ?[X]: (p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))&p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X))))))|~p(s(bool,f0)))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f9194])).
% 43.81/6.95 fof(f9196,plain,(
% 43.81/6.95 ((![Q59041,X]: (~p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,X))),s(fun(Q59041,bool),empty))))|(![P0]: ~p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,X)))))))|p(s(bool,f0)))&((![Q59041,P0]: (p(s(bool,i(s(fun(fun(Q59041,bool),bool),i(s(fun(Q59041,fun(fun(Q59041,bool),bool)),in),s(Q59041,sk0_1410(P0,Q59041)))),s(fun(Q59041,bool),empty))))&p(s(bool,i(s(fun(Q59041,bool),P0),s(Q59041,sk0_1410(P0,Q59041)))))))|~p(s(bool,f0)))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f9195])).
% 43.81/6.95 fof(f9197,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),empty))))|~p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))|p(s(bool,f0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f9196])).
% 43.81/6.95 fof(f10828,plain,(
% 43.81/6.95 ![B,A,R0]: ((~p(s(bool,t))|s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0)))))=s(fun(finite_image(B),A),R0))&(p(s(bool,t))|~s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0)))))=s(fun(finite_image(B),A),R0)))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f2377])).
% 43.81/6.95 fof(f10829,plain,(
% 43.81/6.95 (~p(s(bool,t))|(![B,A,R0]: s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0)))))=s(fun(finite_image(B),A),R0)))&(p(s(bool,t))|(![B,A,R0]: ~s(fun(finite_image(B),A),i(s(fun(cart(A,B),fun(finite_image(B),A)),destu_cart),s(cart(A,B),i(s(fun(fun(finite_image(B),A),cart(A,B)),mku_cart),s(fun(finite_image(B),A),R0)))))=s(fun(finite_image(B),A),R0)))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f10828])).
% 43.81/6.95 fof(f10830,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,t))|s(fun(finite_image(X0),X1),i(s(fun(cart(X1,X0),fun(finite_image(X0),X1)),destu_cart),s(cart(X1,X0),i(s(fun(fun(finite_image(X0),X1),cart(X1,X0)),mku_cart),s(fun(finite_image(X0),X1),X2)))))=s(fun(finite_image(X0),X1),X2))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f10829])).
% 43.81/6.95 fof(f12477,plain,(
% 43.81/6.95 ![X0,X1,X2]: (s(real,i(s(fun(num,real),i(s(fun(cart(real,X0),fun(num,real)),d_),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,X1))))),s(num,X2)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2754])).
% 43.81/6.95 fof(f12650,plain,(
% 43.81/6.95 ![X0]: (s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2845])).
% 43.81/6.95 fof(f12651,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f2846])).
% 43.81/6.95 fof(f12655,plain,(
% 43.81/6.95 ![Q102254,X]: ((~s(real,i(s(fun(cart(real,Q102254),real),vectoru_norm),s(cart(real,Q102254),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|s(real,i(s(fun(cart(real,Q102254),real),i(s(fun(cart(real,Q102254),fun(cart(real,Q102254),real)),dot),s(cart(real,Q102254),X))),s(cart(real,Q102254),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))&(s(real,i(s(fun(cart(real,Q102254),real),vectoru_norm),s(cart(real,Q102254),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|~s(real,i(s(fun(cart(real,Q102254),real),i(s(fun(cart(real,Q102254),fun(cart(real,Q102254),real)),dot),s(cart(real,Q102254),X))),s(cart(real,Q102254),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f2850])).
% 43.81/6.95 fof(f12656,plain,(
% 43.81/6.95 (![Q102254,X]: (~s(real,i(s(fun(cart(real,Q102254),real),vectoru_norm),s(cart(real,Q102254),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|s(real,i(s(fun(cart(real,Q102254),real),i(s(fun(cart(real,Q102254),fun(cart(real,Q102254),real)),dot),s(cart(real,Q102254),X))),s(cart(real,Q102254),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))&(![Q102254,X]: (s(real,i(s(fun(cart(real,Q102254),real),vectoru_norm),s(cart(real,Q102254),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|~s(real,i(s(fun(cart(real,Q102254),real),i(s(fun(cart(real,Q102254),fun(cart(real,Q102254),real)),dot),s(cart(real,Q102254),X))),s(cart(real,Q102254),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f12655])).
% 43.81/6.95 fof(f12657,plain,(
% 43.81/6.95 ![X0,X1]: (~s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12656])).
% 43.81/6.95 fof(f12659,plain,(
% 43.81/6.95 ![Q102285,X]: ((~s(real,i(s(fun(cart(real,Q102285),real),vectoru_norm),s(cart(real,Q102285),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|s(cart(real,Q102285),X)=s(cart(real,Q102285),i(s(fun(num,cart(real,Q102285)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))&(s(real,i(s(fun(cart(real,Q102285),real),vectoru_norm),s(cart(real,Q102285),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|~s(cart(real,Q102285),X)=s(cart(real,Q102285),i(s(fun(num,cart(real,Q102285)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f2851])).
% 43.81/6.95 fof(f12660,plain,(
% 43.81/6.95 (![Q102285,X]: (~s(real,i(s(fun(cart(real,Q102285),real),vectoru_norm),s(cart(real,Q102285),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|s(cart(real,Q102285),X)=s(cart(real,Q102285),i(s(fun(num,cart(real,Q102285)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))&(![Q102285,X]: (s(real,i(s(fun(cart(real,Q102285),real),vectoru_norm),s(cart(real,Q102285),X)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|~s(cart(real,Q102285),X)=s(cart(real,Q102285),i(s(fun(num,cart(real,Q102285)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f12659])).
% 43.81/6.95 fof(f12661,plain,(
% 43.81/6.95 ![X0,X1]: (~s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|s(cart(real,X0),X1)=s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12660])).
% 43.81/6.95 fof(f12663,plain,(
% 43.81/6.95 (?[Q102307,X]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q102307),real),vectoru_norm),s(cart(real,Q102307),X))))))<~>~s(cart(real,Q102307),X)=s(cart(real,Q102307),i(s(fun(num,cart(real,Q102307)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),
% 43.81/6.95 inference(pre_NNF_transformation,[status(esa)],[f2853])).
% 43.81/6.95 fof(f12664,plain,(
% 43.81/6.95 ?[Q102307,X]: ((p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q102307),real),vectoru_norm),s(cart(real,Q102307),X))))))|~s(cart(real,Q102307),X)=s(cart(real,Q102307),i(s(fun(num,cart(real,Q102307)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))&(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,Q102307),real),vectoru_norm),s(cart(real,Q102307),X))))))|s(cart(real,Q102307),X)=s(cart(real,Q102307),i(s(fun(num,cart(real,Q102307)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f12663])).
% 43.81/6.95 fof(f12665,plain,(
% 43.81/6.95 ((p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))|~s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))&(~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))|s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),
% 43.81/6.95 inference(skolemization,[status(esa)],[f12664])).
% 43.81/6.95 fof(f12666,plain,(
% 43.81/6.95 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))|~s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12665])).
% 43.81/6.95 fof(f12667,plain,(
% 43.81/6.95 ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))|s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12665])).
% 43.81/6.95 fof(f12668,plain,(
% 43.81/6.95 ![X,XI_]: ((~pd0_0(XI_,X)|(((~p(s(bool,X))|~p(s(bool,XI_)))|p(s(bool,X)))&((p(s(bool,X))&p(s(bool,XI_)))|~p(s(bool,X)))))&(pd0_0(XI_,X)|(((~p(s(bool,X))|~p(s(bool,XI_)))|~p(s(bool,X)))&((p(s(bool,X))&p(s(bool,XI_)))|p(s(bool,X))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f2864])).
% 43.81/6.95 fof(f12669,plain,(
% 43.81/6.95 (![X,XI_]: (~pd0_0(XI_,X)|(((~p(s(bool,X))|~p(s(bool,XI_)))|p(s(bool,X)))&((p(s(bool,X))&p(s(bool,XI_)))|~p(s(bool,X))))))&(![X,XI_]: (pd0_0(XI_,X)|(((~p(s(bool,X))|~p(s(bool,XI_)))|~p(s(bool,X)))&((p(s(bool,X))&p(s(bool,XI_)))|p(s(bool,X))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f12668])).
% 43.81/6.95 fof(f12672,plain,(
% 43.81/6.95 ![X0,X1]: (~pd0_0(X0,X1)|p(s(bool,X0))|~p(s(bool,X1)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12669])).
% 43.81/6.95 fof(f12674,plain,(
% 43.81/6.95 ![X0,X1]: (pd0_0(X0,X1)|p(s(bool,X1))|p(s(bool,X1)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12669])).
% 43.81/6.95 fof(f12676,plain,(
% 43.81/6.95 ![X,R0]: (pd0_247(R0,X)<=>(p(s(bool,X))&~p(s(bool,R0))))),
% 43.81/6.95 introduced(predicate_definition,[f2885])).
% 43.81/6.95 fof(f12677,plain,(
% 43.81/6.95 ![X,XI_,R0]: (pd0_1(R0,XI_,X)<=>(pd0_247(R0,X)|((p(s(bool,XI_))&~p(s(bool,R0)))|p(s(bool,R0)))))),
% 43.81/6.95 inference(formula_renaming,[status(thm)],[f2885,f12676])).
% 43.81/6.95 fof(f12678,plain,(
% 43.81/6.95 ![X,XI_,R0]: ((~pd0_1(R0,XI_,X)|(pd0_247(R0,X)|((p(s(bool,XI_))&~p(s(bool,R0)))|p(s(bool,R0)))))&(pd0_1(R0,XI_,X)|(~pd0_247(R0,X)&((~p(s(bool,XI_))|p(s(bool,R0)))&~p(s(bool,R0))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f12677])).
% 43.81/6.95 fof(f12679,plain,(
% 43.81/6.95 (![X,XI_,R0]: (~pd0_1(R0,XI_,X)|(pd0_247(R0,X)|((p(s(bool,XI_))&~p(s(bool,R0)))|p(s(bool,R0))))))&(![X,XI_,R0]: (pd0_1(R0,XI_,X)|(~pd0_247(R0,X)&((~p(s(bool,XI_))|p(s(bool,R0)))&~p(s(bool,R0))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f12678])).
% 43.81/6.95 fof(f12682,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_1(X0,X1,X2)|~pd0_247(X0,X2))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12679])).
% 43.81/6.95 fof(f12684,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_1(X0,X1,X2)|~p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12679])).
% 43.81/6.95 fof(f12685,plain,(
% 43.81/6.95 ![P0,Q0,R0]: ((~pd0_2(R0,Q0,P0)|(p(s(bool,P0))&(p(s(bool,Q0))|p(s(bool,R0)))))&(pd0_2(R0,Q0,P0)|(~p(s(bool,P0))|(~p(s(bool,Q0))&~p(s(bool,R0))))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3032])).
% 43.81/6.95 fof(f12686,plain,(
% 43.81/6.95 (![P0,Q0,R0]: (~pd0_2(R0,Q0,P0)|(p(s(bool,P0))&(p(s(bool,Q0))|p(s(bool,R0))))))&(![P0,Q0,R0]: (pd0_2(R0,Q0,P0)|(~p(s(bool,P0))|(~p(s(bool,Q0))&~p(s(bool,R0))))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f12685])).
% 43.81/6.95 fof(f12687,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~pd0_2(X0,X1,X2)|p(s(bool,X2)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12686])).
% 43.81/6.95 fof(f12691,plain,(
% 43.81/6.95 ![P0,Q0,R0]: ((~pd0_3(R0,Q0,P0)|((p(s(bool,P0))|p(s(bool,Q0)))&p(s(bool,R0))))&(pd0_3(R0,Q0,P0)|((~p(s(bool,P0))&~p(s(bool,Q0)))|~p(s(bool,R0)))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f3042])).
% 43.81/6.95 fof(f12692,plain,(
% 43.81/6.95 (![P0,Q0,R0]: (~pd0_3(R0,Q0,P0)|((p(s(bool,P0))|p(s(bool,Q0)))&p(s(bool,R0)))))&(![P0,Q0,R0]: (pd0_3(R0,Q0,P0)|((~p(s(bool,P0))&~p(s(bool,Q0)))|~p(s(bool,R0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f12691])).
% 43.81/6.95 fof(f12694,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~pd0_3(X0,X1,X2)|p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12692])).
% 43.81/6.95 fof(f12793,plain,(
% 43.81/6.95 ![M0,N0]: (pd0_250(N0,M0)<=>(s(num,M0)=s(num,i(s(fun(num,num),numeral),s(num,u_0)))<=>s(num,N0)=s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),
% 43.81/6.95 introduced(predicate_definition,[f4321])).
% 43.81/6.95 fof(f12794,plain,(
% 43.81/6.95 ![M0,N0,V]: (pd0_22(V,N0,M0)<=>(p(s(bool,V))<=>pd0_250(N0,M0)))),
% 43.81/6.95 inference(formula_renaming,[status(thm)],[f4321,f12793])).
% 43.81/6.95 fof(f12795,plain,(
% 43.81/6.95 ![M0,N0,V]: ((~pd0_22(V,N0,M0)|((~p(s(bool,V))|pd0_250(N0,M0))&(p(s(bool,V))|~pd0_250(N0,M0))))&(pd0_22(V,N0,M0)|((~p(s(bool,V))|~pd0_250(N0,M0))&(p(s(bool,V))|pd0_250(N0,M0)))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f12794])).
% 43.81/6.95 fof(f12796,plain,(
% 43.81/6.95 (![M0,N0,V]: (~pd0_22(V,N0,M0)|((~p(s(bool,V))|pd0_250(N0,M0))&(p(s(bool,V))|~pd0_250(N0,M0)))))&(![M0,N0,V]: (pd0_22(V,N0,M0)|((~p(s(bool,V))|~pd0_250(N0,M0))&(p(s(bool,V))|pd0_250(N0,M0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f12795])).
% 43.81/6.95 fof(f12799,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_22(X0,X1,X2)|~p(s(bool,X0))|~pd0_250(X1,X2))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f12796])).
% 43.81/6.95 fof(f14123,plain,(
% 43.81/6.95 ![X,R0]: ((~pd0_247(R0,X)|(p(s(bool,X))&~p(s(bool,R0))))&(pd0_247(R0,X)|(~p(s(bool,X))|p(s(bool,R0)))))),
% 43.81/6.95 inference(NNF_transformation,[status(esa)],[f12676])).
% 43.81/6.95 fof(f14124,plain,(
% 43.81/6.95 (![X,R0]: (~pd0_247(R0,X)|(p(s(bool,X))&~p(s(bool,R0)))))&(![X,R0]: (pd0_247(R0,X)|(~p(s(bool,X))|p(s(bool,R0)))))),
% 43.81/6.95 inference(miniscoping,[status(esa)],[f14123])).
% 43.81/6.95 fof(f14125,plain,(
% 43.81/6.95 ![X0,X1]: (~pd0_247(X0,X1)|p(s(bool,X1)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f14124])).
% 43.81/6.95 fof(f14126,plain,(
% 43.81/6.95 ![X0,X1]: (~pd0_247(X0,X1)|~p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f14124])).
% 43.81/6.95 fof(f14127,plain,(
% 43.81/6.95 ![X0,X1]: (pd0_247(X0,X1)|~p(s(bool,X1))|p(s(bool,X0)))),
% 43.81/6.95 inference(cnf_transformation,[status(esa)],[f14124])).
% 43.81/6.95 fof(f14325,plain,(
% 43.81/6.95 spl0_1 <=> ~p(s(bool,X2))|p(s(bool,X2))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14329,plain,(
% 43.81/6.95 spl0_2 <=> p(s(bool,f0))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14331,plain,(
% 43.81/6.95 ~p(s(bool,f0))|spl0_2),
% 43.81/6.95 inference(component_clause,[status(thm)],[f14329])).
% 43.81/6.95 fof(f14332,plain,(
% 43.81/6.95 spl0_3 <=> p(s(bool,X0))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14333,plain,(
% 43.81/6.95 ![X0]: (p(s(bool,X0))|~spl0_3)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f14332])).
% 43.81/6.95 fof(f14336,plain,(
% 43.81/6.95 spl0_4 <=> p(s(bool,sk0_5))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14339,plain,(
% 43.81/6.95 spl0_2|~spl0_4),
% 43.81/6.95 inference(split_clause,[status(thm)],[f2896,f14329,f14336])).
% 43.81/6.95 fof(f14340,plain,(
% 43.81/6.95 spl0_1|spl0_2),
% 43.81/6.95 inference(split_clause,[status(thm)],[f2900,f14325,f14329])).
% 43.81/6.95 fof(f14341,plain,(
% 43.81/6.95 spl0_5 <=> ~p(s(bool,X0))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14342,plain,(
% 43.81/6.95 ![X0]: (~p(s(bool,X0))|~spl0_5)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f14341])).
% 43.81/6.95 fof(f14360,plain,(
% 43.81/6.95 spl0_9 <=> ~s(X0,X1)=s(X0,X1)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14361,plain,(
% 43.81/6.95 ![X0,X1]: (~s(X0,X1)=s(X0,X1)|~spl0_9)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f14360])).
% 43.81/6.95 fof(f14363,plain,(
% 43.81/6.95 spl0_10 <=> p(s(bool,t))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14366,plain,(
% 43.81/6.95 spl0_9|spl0_10),
% 43.81/6.95 inference(split_clause,[status(thm)],[f2916,f14360,f14363])).
% 43.81/6.95 fof(f14367,plain,(
% 43.81/6.95 spl0_11 <=> s(X0,X1)=s(X0,X1)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14370,plain,(
% 43.81/6.95 spl0_11|~spl0_10),
% 43.81/6.95 inference(split_clause,[status(thm)],[f2917,f14367,f14363])).
% 43.81/6.95 fof(f14462,plain,(
% 43.81/6.95 ~spl0_2|~spl0_10),
% 43.81/6.95 inference(split_clause,[status(thm)],[f3075,f14329,f14363])).
% 43.81/6.95 fof(f14525,plain,(
% 43.81/6.95 spl0_16 <=> p(s(bool,i(s(fun(X1,bool),X2),s(X1,X3))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14526,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|~spl0_16)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f14525])).
% 43.81/6.95 fof(f14663,plain,(
% 43.81/6.95 spl0_39 <=> s(num,u_0)=s(num,u_0)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14667,plain,(
% 43.81/6.95 spl0_39|~spl0_10),
% 43.81/6.95 inference(split_clause,[status(thm)],[f3869,f14663,f14363])).
% 43.81/6.95 fof(f14841,plain,(
% 43.81/6.95 spl0_86 <=> ~s(num,i(s(fun(num,num),bit1),s(num,X0)))=s(num,u_0)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14844,plain,(
% 43.81/6.95 spl0_86|spl0_2),
% 43.81/6.95 inference(split_clause,[status(thm)],[f4864,f14841,f14329])).
% 43.81/6.95 fof(f14851,plain,(
% 43.81/6.95 spl0_88 <=> ~s(num,i(s(fun(num,num),bit0),s(num,X0)))=s(num,i(s(fun(num,num),bit1),s(num,X1)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f14854,plain,(
% 43.81/6.95 spl0_88|spl0_2),
% 43.81/6.95 inference(split_clause,[status(thm)],[f4880,f14851,f14329])).
% 43.81/6.95 fof(f15017,plain,(
% 43.81/6.95 spl0_132 <=> ~p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),empty))))|p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15020,plain,(
% 43.81/6.95 spl0_132|~spl0_10),
% 43.81/6.95 inference(split_clause,[status(thm)],[f9184,f15017,f14363])).
% 43.81/6.95 fof(f15021,plain,(
% 43.81/6.95 spl0_133 <=> ~p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),empty))))|~p(s(bool,i(s(fun(X0,bool),X2),s(X0,X1))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15024,plain,(
% 43.81/6.95 spl0_133|spl0_2),
% 43.81/6.95 inference(split_clause,[status(thm)],[f9197,f15021,f14329])).
% 43.81/6.95 fof(f15052,plain,(
% 43.81/6.95 spl0_141 <=> s(fun(finite_image(X0),X1),i(s(fun(cart(X1,X0),fun(finite_image(X0),X1)),destu_cart),s(cart(X1,X0),i(s(fun(fun(finite_image(X0),X1),cart(X1,X0)),mku_cart),s(fun(finite_image(X0),X1),X2)))))=s(fun(finite_image(X0),X1),X2)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15055,plain,(
% 43.81/6.95 ~spl0_10|spl0_141),
% 43.81/6.95 inference(split_clause,[status(thm)],[f10830,f14363,f15052])).
% 43.81/6.95 fof(f15120,plain,(
% 43.81/6.95 spl0_159 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15121,plain,(
% 43.81/6.95 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))|~spl0_159),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15120])).
% 43.81/6.95 fof(f15122,plain,(
% 43.81/6.95 ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))|spl0_159),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15120])).
% 43.81/6.95 fof(f15123,plain,(
% 43.81/6.95 spl0_160 <=> s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15124,plain,(
% 43.81/6.95 s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|~spl0_160),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15123])).
% 43.81/6.95 fof(f15125,plain,(
% 43.81/6.95 ~s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))|spl0_160),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15123])).
% 43.81/6.95 fof(f15126,plain,(
% 43.81/6.95 spl0_159|~spl0_160),
% 43.81/6.95 inference(split_clause,[status(thm)],[f12666,f15120,f15123])).
% 43.81/6.95 fof(f15127,plain,(
% 43.81/6.95 ~spl0_159|spl0_160),
% 43.81/6.95 inference(split_clause,[status(thm)],[f12667,f15120,f15123])).
% 43.81/6.95 fof(f15166,plain,(
% 43.81/6.95 ![X0,X1]: (pd0_0(X0,X1)|p(s(bool,X1)))),
% 43.81/6.95 inference(duplicate_literals_removal,[status(esa)],[f12674])).
% 43.81/6.95 fof(f15167,plain,(
% 43.81/6.95 $false|~spl0_9),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f14361])).
% 43.81/6.95 fof(f15168,plain,(
% 43.81/6.95 ~spl0_9),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f15167])).
% 43.81/6.95 fof(f15179,plain,(
% 43.81/6.95 $false|~spl0_16),
% 43.81/6.95 inference(backward_subsumption_resolution,[status(thm)],[f6049,f14526])).
% 43.81/6.95 fof(f15180,plain,(
% 43.81/6.95 ~spl0_16),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f15179])).
% 43.81/6.95 fof(f15181,plain,(
% 43.81/6.95 ![X0]: (~s(real,X0)=s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))))|~spl0_159)),
% 43.81/6.95 inference(resolution,[status(thm)],[f3152,f15121])).
% 43.81/6.95 fof(f15187,plain,(
% 43.81/6.95 ![X0]: (~s(real,X0)=s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X0))))|~spl0_159)),
% 43.81/6.95 inference(backward_demodulation,[status(thm)],[f3870,f15181])).
% 43.81/6.95 fof(f15189,plain,(
% 43.81/6.95 s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,u_0)))|~spl0_160),
% 43.81/6.95 inference(backward_demodulation,[status(thm)],[f3870,f15124])).
% 43.81/6.95 fof(f15220,plain,(
% 43.81/6.95 spl0_167 <=> s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),sk0_2955)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15222,plain,(
% 43.81/6.95 ~s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),sk0_2955)|spl0_167),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15220])).
% 43.81/6.95 fof(f15227,plain,(
% 43.81/6.95 $false|spl0_167),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f15222])).
% 43.81/6.95 fof(f15228,plain,(
% 43.81/6.95 spl0_167),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f15227])).
% 43.81/6.95 fof(f15277,plain,(
% 43.81/6.95 ![X0]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f5946,f6049])).
% 43.81/6.95 fof(f15316,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2)))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f6017,f5946])).
% 43.81/6.95 fof(f15340,plain,(
% 43.81/6.95 ![X0]: (s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X0)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|~spl0_160)),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f15189,f12477])).
% 43.81/6.95 fof(f15433,plain,(
% 43.81/6.95 spl0_168 <=> s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15434,plain,(
% 43.81/6.95 s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))|~spl0_168),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15433])).
% 43.81/6.95 fof(f15457,plain,(
% 43.81/6.95 spl0_170 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X0))))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15458,plain,(
% 43.81/6.95 ![X0]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X0))))))|~spl0_170)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15457])).
% 43.81/6.95 fof(f15460,plain,(
% 43.81/6.95 ![X0]: (~s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X0))))))|~spl0_159|~spl0_160)),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f15340,f15187])).
% 43.81/6.95 fof(f15461,plain,(
% 43.81/6.95 ~spl0_168|spl0_170|~spl0_159|~spl0_160),
% 43.81/6.95 inference(split_clause,[status(thm)],[f15460,f15433,f15457,f15120,f15123])).
% 43.81/6.95 fof(f15476,plain,(
% 43.81/6.95 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))|~spl0_160|~spl0_170),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f15340,f15458])).
% 43.81/6.95 fof(f15477,plain,(
% 43.81/6.95 $false|~spl0_160|~spl0_170),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f15476,f6049])).
% 43.81/6.95 fof(f15478,plain,(
% 43.81/6.95 ~spl0_160|~spl0_170),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f15477])).
% 43.81/6.95 fof(f15479,plain,(
% 43.81/6.95 ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))|spl0_159),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f15122])).
% 43.81/6.95 fof(f15480,plain,(
% 43.81/6.95 ~s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,u_0)))|spl0_160),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f15125])).
% 43.81/6.95 fof(f15481,plain,(
% 43.81/6.95 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))|spl0_159),
% 43.81/6.95 inference(resolution,[status(thm)],[f15479,f5946])).
% 43.81/6.95 fof(f15485,plain,(
% 43.81/6.95 spl0_171 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15486,plain,(
% 43.81/6.95 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))|~spl0_171),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15485])).
% 43.81/6.95 fof(f15667,plain,(
% 43.81/6.95 ![X0,X1,X2]: (s(real,X0)=s(real,X1)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X2))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X2)))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f6112,f6017])).
% 43.81/6.95 fof(f15787,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))))))),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f12651])).
% 43.81/6.95 fof(f15798,plain,(
% 43.81/6.95 spl0_172 <=> ~s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f15799,plain,(
% 43.81/6.95 ![X0,X1]: (~s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))|~spl0_172)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f15798])).
% 43.81/6.95 fof(f16084,plain,(
% 43.81/6.95 ![X0]: (s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f12650])).
% 43.81/6.95 fof(f16085,plain,(
% 43.81/6.95 ![X0]: (s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f16084])).
% 43.81/6.95 fof(f16086,plain,(
% 43.81/6.95 $false|~spl0_172),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f16085,f15799])).
% 43.81/6.95 fof(f16087,plain,(
% 43.81/6.95 ~spl0_172),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16086])).
% 43.81/6.95 fof(f16192,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|~spl0_3)),
% 43.81/6.95 inference(backward_subsumption_resolution,[status(thm)],[f6107,f14333])).
% 43.81/6.95 fof(f16193,plain,(
% 43.81/6.95 $false|~spl0_3),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f16192,f14333])).
% 43.81/6.95 fof(f16194,plain,(
% 43.81/6.95 ~spl0_3),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16193])).
% 43.81/6.95 fof(f16200,plain,(
% 43.81/6.95 ![X0]: (~s(bool,t)=s(bool,X0)|~spl0_5)),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f3064,f14342])).
% 43.81/6.95 fof(f16201,plain,(
% 43.81/6.95 $false|~spl0_5),
% 43.81/6.95 inference(equality_resolution,[status(esa)],[f16200])).
% 43.81/6.95 fof(f16202,plain,(
% 43.81/6.95 ~spl0_5),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16201])).
% 43.81/6.95 fof(f16208,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_0(X0,X1)|pd0_0(X2,X0))),
% 43.81/6.95 inference(resolution,[status(thm)],[f2869,f15166])).
% 43.81/6.95 fof(f16209,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (pd0_1(X0,X1,X2)|pd0_0(X3,X0))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12684,f15166])).
% 43.81/6.95 fof(f16231,plain,(
% 43.81/6.95 spl0_174 <=> p(s(bool,u_falsityu_))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16232,plain,(
% 43.81/6.95 p(s(bool,u_falsityu_))|~spl0_174),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16231])).
% 43.81/6.95 fof(f16234,plain,(
% 43.81/6.95 spl0_175 <=> ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(u_falsityu_,X0)),s(bool,X0))),s(bool,f0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(u_falsityu_,X0)),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16237,plain,(
% 43.81/6.95 ![X0]: (p(s(bool,u_falsityu_))|~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(u_falsityu_,X0)),s(bool,X0))),s(bool,f0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(u_falsityu_,X0)),s(bool,t))),s(bool,t))))),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f2904,f2862])).
% 43.81/6.95 fof(f16238,plain,(
% 43.81/6.95 spl0_174|spl0_175),
% 43.81/6.95 inference(split_clause,[status(thm)],[f16237,f16231,f16234])).
% 43.81/6.95 fof(f16241,plain,(
% 43.81/6.95 spl0_176 <=> ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(X0,u_falsityu_)),s(bool,f0))),s(bool,X0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(X0,u_falsityu_)),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16244,plain,(
% 43.81/6.95 ![X0]: (p(s(bool,u_falsityu_))|~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(X0,u_falsityu_)),s(bool,f0))),s(bool,X0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(X0,u_falsityu_)),s(bool,t))),s(bool,t))))),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f2904,f2861])).
% 43.81/6.95 fof(f16245,plain,(
% 43.81/6.95 spl0_174|spl0_176),
% 43.81/6.95 inference(split_clause,[status(thm)],[f16244,f16231,f16241])).
% 43.81/6.95 fof(f16261,plain,(
% 43.81/6.95 spl0_180 <=> pd0_0(X0,u_falsityu_)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16264,plain,(
% 43.81/6.95 ![X0]: (pd0_0(X0,u_falsityu_)|p(s(bool,f0)))),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f2904,f15166])).
% 43.81/6.95 fof(f16265,plain,(
% 43.81/6.95 spl0_180|spl0_2),
% 43.81/6.95 inference(split_clause,[status(thm)],[f16264,f16261,f14329])).
% 43.81/6.95 fof(f16270,plain,(
% 43.81/6.95 p(s(bool,f0))|~spl0_174),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f2904,f16232])).
% 43.81/6.95 fof(f16271,plain,(
% 43.81/6.95 $false|spl0_2|~spl0_174),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f16270,f14331])).
% 43.81/6.95 fof(f16272,plain,(
% 43.81/6.95 spl0_2|~spl0_174),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16271])).
% 43.81/6.95 fof(f16278,plain,(
% 43.81/6.95 ![X0,X1]: (~p(s(bool,X0))|s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X1),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),s(bool,X0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X1),s(bool,t))),s(bool,t)))|spl0_159)),
% 43.81/6.95 inference(resolution,[status(thm)],[f15481,f2860])).
% 43.81/6.95 fof(f16308,plain,(
% 43.81/6.95 ![X0]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|spl0_159)),
% 43.81/6.95 inference(resolution,[status(thm)],[f16278,f2856])).
% 43.81/6.95 fof(f16310,plain,(
% 43.81/6.95 spl0_181 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),s(bool,u_falsityu_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16311,plain,(
% 43.81/6.95 ![X0]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),s(bool,u_falsityu_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|~spl0_181)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16310])).
% 43.81/6.95 fof(f16315,plain,(
% 43.81/6.95 ![X0]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),s(bool,f0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|~spl0_181)),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f2904,f16311])).
% 43.81/6.95 fof(f16322,plain,(
% 43.81/6.95 spl0_182 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),s(bool,u_falsityu_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16323,plain,(
% 43.81/6.95 ![X0]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),s(bool,u_falsityu_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|~spl0_182)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16322])).
% 43.81/6.95 fof(f16327,plain,(
% 43.81/6.95 ![X0]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),s(bool,f0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|~spl0_182)),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f2904,f16323])).
% 43.81/6.95 fof(f16334,plain,(
% 43.81/6.95 spl0_183 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16336,plain,(
% 43.81/6.95 ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))|spl0_183),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16334])).
% 43.81/6.95 fof(f16339,plain,(
% 43.81/6.95 spl0_184 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16342,plain,(
% 43.81/6.95 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))|~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))|spl0_159),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f16308,f2861])).
% 43.81/6.95 fof(f16343,plain,(
% 43.81/6.95 spl0_184|~spl0_183|spl0_159),
% 43.81/6.95 inference(split_clause,[status(thm)],[f16342,f16339,f16334,f15120])).
% 43.81/6.95 fof(f16363,plain,(
% 43.81/6.95 $false|spl0_183),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f16336])).
% 43.81/6.95 fof(f16364,plain,(
% 43.81/6.95 spl0_183),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16363])).
% 43.81/6.95 fof(f16365,plain,(
% 43.81/6.95 p(s(bool,f0))|~spl0_181),
% 43.81/6.95 inference(resolution,[status(thm)],[f16315,f2862])).
% 43.81/6.95 fof(f16366,plain,(
% 43.81/6.95 $false|spl0_2|~spl0_181),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f16365,f14331])).
% 43.81/6.95 fof(f16367,plain,(
% 43.81/6.95 spl0_2|~spl0_181),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16366])).
% 43.81/6.95 fof(f16372,plain,(
% 43.81/6.95 spl0_185 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16374,plain,(
% 43.81/6.95 ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))|spl0_185),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16372])).
% 43.81/6.95 fof(f16398,plain,(
% 43.81/6.95 $false|spl0_185),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f16374])).
% 43.81/6.95 fof(f16399,plain,(
% 43.81/6.95 spl0_185),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16398])).
% 43.81/6.95 fof(f16400,plain,(
% 43.81/6.95 p(s(bool,f0))|~spl0_182),
% 43.81/6.95 inference(resolution,[status(thm)],[f16327,f2862])).
% 43.81/6.95 fof(f16401,plain,(
% 43.81/6.95 $false|spl0_2|~spl0_182),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f16400,f14331])).
% 43.81/6.95 fof(f16402,plain,(
% 43.81/6.95 spl0_2|~spl0_182),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16401])).
% 43.81/6.95 fof(f16419,plain,(
% 43.81/6.95 spl0_186 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X1))))))),s(bool,u_falsityu_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16420,plain,(
% 43.81/6.95 ![X0,X1]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X1))))))),s(bool,u_falsityu_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|~spl0_186)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16419])).
% 43.81/6.95 fof(f16424,plain,(
% 43.81/6.95 ![X0,X1]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X1))))))),s(bool,f0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|~spl0_186)),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f2904,f16420])).
% 43.81/6.95 fof(f16425,plain,(
% 43.81/6.95 p(s(bool,f0))|~spl0_186),
% 43.81/6.95 inference(resolution,[status(thm)],[f16424,f2862])).
% 43.81/6.95 fof(f16426,plain,(
% 43.81/6.95 $false|spl0_2|~spl0_186),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f16425,f14331])).
% 43.81/6.95 fof(f16427,plain,(
% 43.81/6.95 spl0_2|~spl0_186),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16426])).
% 43.81/6.95 fof(f16437,plain,(
% 43.81/6.95 spl0_187 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X1))))))),s(bool,u_falsityu_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16438,plain,(
% 43.81/6.95 ![X0,X1]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X1))))))),s(bool,u_falsityu_)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|~spl0_187)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16437])).
% 43.81/6.95 fof(f16442,plain,(
% 43.81/6.95 ![X0,X1]: (s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X1))))))),s(bool,f0)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),X0),s(bool,t))),s(bool,t)))|~spl0_187)),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f2904,f16438])).
% 43.81/6.95 fof(f16448,plain,(
% 43.81/6.95 spl0_188 <=> ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X0)))))),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16449,plain,(
% 43.81/6.95 ![X0]: (~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(t,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,sk0_2954),fun(num,real)),d_),s(cart(real,sk0_2954),sk0_2955))),s(num,X0)))))),s(bool,t))),s(bool,t)))|~spl0_188)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16448])).
% 43.81/6.95 fof(f16476,plain,(
% 43.81/6.95 $false|~spl0_188),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f16449])).
% 43.81/6.95 fof(f16477,plain,(
% 43.81/6.95 ~spl0_188),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16476])).
% 43.81/6.95 fof(f16478,plain,(
% 43.81/6.95 p(s(bool,f0))|~spl0_187),
% 43.81/6.95 inference(resolution,[status(thm)],[f16442,f2862])).
% 43.81/6.95 fof(f16479,plain,(
% 43.81/6.95 $false|spl0_2|~spl0_187),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f16478,f14331])).
% 43.81/6.95 fof(f16480,plain,(
% 43.81/6.95 spl0_2|~spl0_187),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16479])).
% 43.81/6.95 fof(f16485,plain,(
% 43.81/6.95 spl0_189 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16487,plain,(
% 43.81/6.95 ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))|spl0_189),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16485])).
% 43.81/6.95 fof(f16511,plain,(
% 43.81/6.95 $false|spl0_189),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f16487])).
% 43.81/6.95 fof(f16512,plain,(
% 43.81/6.95 spl0_189),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16511])).
% 43.81/6.95 fof(f16517,plain,(
% 43.81/6.95 spl0_190 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16519,plain,(
% 43.81/6.95 ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))|spl0_190),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16517])).
% 43.81/6.95 fof(f16543,plain,(
% 43.81/6.95 $false|spl0_190),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f16519])).
% 43.81/6.95 fof(f16544,plain,(
% 43.81/6.95 spl0_190),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16543])).
% 43.81/6.95 fof(f16549,plain,(
% 43.81/6.95 spl0_191 <=> s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f16551,plain,(
% 43.81/6.95 ~s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))=s(bool,i(s(fun(bool,bool),i(s(fun(bool,fun(bool,bool)),sk0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))),s(bool,t))),s(bool,t)))|spl0_191),
% 43.81/6.95 inference(component_clause,[status(thm)],[f16549])).
% 43.81/6.95 fof(f16575,plain,(
% 43.81/6.95 $false|spl0_191),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f16551])).
% 43.81/6.95 fof(f16576,plain,(
% 43.81/6.95 spl0_191),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f16575])).
% 43.81/6.95 fof(f16662,plain,(
% 43.81/6.95 ![X0,X1]: (pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X1))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f6049,f15166])).
% 43.81/6.95 fof(f16952,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|pd0_0(X2,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f6107,f15166])).
% 43.81/6.95 fof(f16974,plain,(
% 43.81/6.95 ![X0,X1,X2]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))|pd0_0(X2,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f5945,f15166])).
% 43.81/6.95 fof(f17011,plain,(
% 43.81/6.95 s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|~spl0_160),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f15189,f16085])).
% 43.81/6.95 fof(f17012,plain,(
% 43.81/6.95 spl0_168|~spl0_160),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17011,f15433,f15123])).
% 43.81/6.95 fof(f17132,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))),X2))),
% 43.81/6.95 inference(resolution,[status(thm)],[f15787,f2869])).
% 43.81/6.95 fof(f17148,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))|pd0_0(X3,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f16952,f15166])).
% 43.81/6.95 fof(f17233,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f16974,f15787])).
% 43.81/6.95 fof(f17235,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))|pd0_0(X3,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f16974,f15166])).
% 43.81/6.95 fof(f17329,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))|pd0_0(X2,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f6014,f15166])).
% 43.81/6.95 fof(f17541,plain,(
% 43.81/6.95 ![X0,X1]: (~s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f12657])).
% 43.81/6.95 fof(f17542,plain,(
% 43.81/6.95 ![X0,X1]: (~s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f17541])).
% 43.81/6.95 fof(f17545,plain,(
% 43.81/6.95 spl0_194 <=> s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17547,plain,(
% 43.81/6.95 ~s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|spl0_194),
% 43.81/6.95 inference(component_clause,[status(thm)],[f17545])).
% 43.81/6.95 fof(f17553,plain,(
% 43.81/6.95 spl0_196 <=> s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17556,plain,(
% 43.81/6.95 ![X0]: (~s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f16085,f17542])).
% 43.81/6.95 fof(f17557,plain,(
% 43.81/6.95 ~spl0_194|spl0_196),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17556,f17545,f17553])).
% 43.81/6.95 fof(f17562,plain,(
% 43.81/6.95 $false|spl0_194),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f17547])).
% 43.81/6.95 fof(f17563,plain,(
% 43.81/6.95 spl0_194),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f17562])).
% 43.81/6.95 fof(f17566,plain,(
% 43.81/6.95 ![X0,X1]: (~s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|s(cart(real,X0),X1)=s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f12661])).
% 43.81/6.95 fof(f17567,plain,(
% 43.81/6.95 ![X0,X1]: (~s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|s(cart(real,X0),X1)=s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f3870,f17566])).
% 43.81/6.95 fof(f17568,plain,(
% 43.81/6.95 s(cart(real,sk0_2954),sk0_2955)=s(cart(real,sk0_2954),i(s(fun(num,cart(real,sk0_2954)),vec),s(num,u_0)))|~spl0_168),
% 43.81/6.95 inference(resolution,[status(thm)],[f17567,f15434])).
% 43.81/6.95 fof(f17569,plain,(
% 43.81/6.95 $false|spl0_160|~spl0_168),
% 43.81/6.95 inference(forward_subsumption_resolution,[status(thm)],[f17568,f15480])).
% 43.81/6.95 fof(f17570,plain,(
% 43.81/6.95 spl0_160|~spl0_168),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f17569])).
% 43.81/6.95 fof(f17571,plain,(
% 43.81/6.95 spl0_197 <=> s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))=s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17574,plain,(
% 43.81/6.95 ![X0]: (~s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0)))=s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f16085,f17567])).
% 43.81/6.95 fof(f17575,plain,(
% 43.81/6.95 ~spl0_194|spl0_197),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17574,f17545,f17571])).
% 43.81/6.95 fof(f17690,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (pd0_1(X0,X1,X2)|pd0_0(X3,X1))),
% 43.81/6.95 inference(resolution,[status(thm)],[f2891,f15166])).
% 43.81/6.95 fof(f17696,plain,(
% 43.81/6.95 spl0_199 <=> pd0_0(X0,X1)|p(s(bool,X1))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17699,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_0(X0,X1)|p(s(bool,X2))|p(s(bool,X1)))),
% 43.81/6.95 inference(resolution,[status(thm)],[f17690,f2892])).
% 43.81/6.95 fof(f17700,plain,(
% 43.81/6.95 spl0_199|spl0_3),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17699,f17696,f14332])).
% 43.81/6.95 fof(f17705,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (pd0_1(X0,X1,X2)|pd0_0(X3,X2))),
% 43.81/6.95 inference(resolution,[status(thm)],[f2890,f15166])).
% 43.81/6.95 fof(f17725,plain,(
% 43.81/6.95 ![X0]: (s(bool,t)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f3065,f15277])).
% 43.81/6.95 fof(f17733,plain,(
% 43.81/6.95 spl0_203 <=> s(bool,f0)=s(bool,t)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17736,plain,(
% 43.81/6.95 ~s(bool,f0)=s(bool,t)|p(s(bool,u_falsityu_))),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f2904,f3066])).
% 43.81/6.95 fof(f17737,plain,(
% 43.81/6.95 ~spl0_203|spl0_174),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17736,f17733,f16231])).
% 43.81/6.95 fof(f17744,plain,(
% 43.81/6.95 spl0_204 <=> s(bool,f0)=s(bool,u_falsityu_)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17746,plain,(
% 43.81/6.95 ~s(bool,f0)=s(bool,u_falsityu_)|spl0_204),
% 43.81/6.95 inference(component_clause,[status(thm)],[f17744])).
% 43.81/6.95 fof(f17749,plain,(
% 43.81/6.95 ~s(bool,f0)=s(bool,f0)|spl0_204),
% 43.81/6.95 inference(forward_demodulation,[status(thm)],[f2904,f17746])).
% 43.81/6.95 fof(f17750,plain,(
% 43.81/6.95 $false|spl0_204),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f17749])).
% 43.81/6.95 fof(f17751,plain,(
% 43.81/6.95 spl0_204),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f17750])).
% 43.81/6.95 fof(f17753,plain,(
% 43.81/6.95 spl0_205 <=> s(bool,f0)=s(bool,f0)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17755,plain,(
% 43.81/6.95 ~s(bool,f0)=s(bool,f0)|spl0_205),
% 43.81/6.95 inference(component_clause,[status(thm)],[f17753])).
% 43.81/6.95 fof(f17759,plain,(
% 43.81/6.95 $false|spl0_205),
% 43.81/6.95 inference(trivial_equality_resolution,[status(esa)],[f17755])).
% 43.81/6.95 fof(f17760,plain,(
% 43.81/6.95 spl0_205),
% 43.81/6.95 inference(contradiction_clause,[status(thm)],[f17759])).
% 43.81/6.95 fof(f17761,plain,(
% 43.81/6.95 spl0_206 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17764,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))))|~p(s(bool,X2)))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17132])).
% 43.81/6.95 fof(f17765,plain,(
% 43.81/6.95 spl0_206|spl0_5),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17764,f17761,f14341])).
% 43.81/6.95 fof(f17766,plain,(
% 43.81/6.95 spl0_207 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17771,plain,(
% 43.81/6.95 spl0_208 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X2))))|pd0_0(X3,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17774,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,X0))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X2))))|pd0_0(X3,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17235])).
% 43.81/6.95 fof(f17775,plain,(
% 43.81/6.95 spl0_3|spl0_208),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17774,f14332,f17771])).
% 43.81/6.95 fof(f17776,plain,(
% 43.81/6.95 spl0_209 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17779,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,X0))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17233])).
% 43.81/6.95 fof(f17780,plain,(
% 43.81/6.95 spl0_3|spl0_209),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17779,f14332,f17776])).
% 43.81/6.95 fof(f17781,plain,(
% 43.81/6.95 spl0_210 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X2))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17784,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,X0))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X2)))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17329])).
% 43.81/6.95 fof(f17785,plain,(
% 43.81/6.95 spl0_3|spl0_210),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17784,f14332,f17781])).
% 43.81/6.95 fof(f17786,plain,(
% 43.81/6.95 spl0_211 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))|pd0_0(X3,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17789,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,X0))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))|pd0_0(X3,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17235])).
% 43.81/6.95 fof(f17790,plain,(
% 43.81/6.95 spl0_3|spl0_211),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17789,f14332,f17786])).
% 43.81/6.95 fof(f17791,plain,(
% 43.81/6.95 spl0_212 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X1))))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17794,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,X0))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X1)))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17148])).
% 43.81/6.95 fof(f17795,plain,(
% 43.81/6.95 spl0_3|spl0_212),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17794,f14332,f17791])).
% 43.81/6.95 fof(f17796,plain,(
% 43.81/6.95 spl0_213 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))|pd0_0(X3,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1)))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17799,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,X0))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2))))|pd0_0(X3,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X1))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17148])).
% 43.81/6.95 fof(f17800,plain,(
% 43.81/6.95 spl0_3|spl0_213),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17799,f14332,f17796])).
% 43.81/6.95 fof(f17807,plain,(
% 43.81/6.95 spl0_214 <=> ~p(s(bool,X1))|pd0_1(X2,X3,X1)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17810,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,X0))|~p(s(bool,X1))|pd0_1(X2,X3,X1))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17705])).
% 43.81/6.95 fof(f17811,plain,(
% 43.81/6.95 spl0_3|spl0_214),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17810,f14332,f17807])).
% 43.81/6.95 fof(f17812,plain,(
% 43.81/6.95 spl0_215 <=> ~p(s(bool,X1))|pd0_1(X2,X1,X3)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17815,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,X0))|~p(s(bool,X1))|pd0_1(X2,X1,X3))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f17690])).
% 43.81/6.95 fof(f17816,plain,(
% 43.81/6.95 spl0_3|spl0_215),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17815,f14332,f17812])).
% 43.81/6.95 fof(f17817,plain,(
% 43.81/6.95 spl0_216 <=> ~p(s(bool,X1))|pd0_1(X1,X2,X3)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17820,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (p(s(bool,X0))|~p(s(bool,X1))|pd0_1(X1,X2,X3))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f16209])).
% 43.81/6.95 fof(f17821,plain,(
% 43.81/6.95 spl0_3|spl0_216),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17820,f14332,f17817])).
% 43.81/6.95 fof(f17822,plain,(
% 43.81/6.95 spl0_217 <=> ~p(s(bool,X1))|pd0_0(X1,X2)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17825,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,X0))|~p(s(bool,X1))|pd0_0(X1,X2))),
% 43.81/6.95 inference(resolution,[status(thm)],[f12672,f16208])).
% 43.81/6.95 fof(f17826,plain,(
% 43.81/6.95 spl0_3|spl0_217),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17825,f14332,f17822])).
% 43.81/6.95 fof(f17835,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_247(X0,X1)|p(s(bool,X0))|pd0_0(X2,X1))),
% 43.81/6.95 inference(resolution,[status(thm)],[f14127,f15166])).
% 43.81/6.95 fof(f17843,plain,(
% 43.81/6.95 spl0_219 <=> pd0_0(X1,X2)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17844,plain,(
% 43.81/6.95 ![X0,X1]: (pd0_0(X0,X1)|~spl0_219)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f17843])).
% 43.81/6.95 fof(f17859,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_247(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0)),X1)|pd0_0(X2,X1))),
% 43.81/6.95 inference(resolution,[status(thm)],[f17835,f6049])).
% 43.81/6.95 fof(f17872,plain,(
% 43.81/6.95 ![X0,X1,X2,X3,X4]: (pd0_247(X0,X1)|pd0_0(X2,X1)|pd0_1(X3,X4,X0))),
% 43.81/6.95 inference(resolution,[status(thm)],[f17835,f2890])).
% 43.81/6.95 fof(f17873,plain,(
% 43.81/6.95 ![X0,X1,X2,X3,X4]: (pd0_247(X0,X1)|pd0_0(X2,X1)|pd0_1(X3,X0,X4))),
% 43.81/6.95 inference(resolution,[status(thm)],[f17835,f2891])).
% 43.81/6.95 fof(f17875,plain,(
% 43.81/6.95 ![X0,X1,X2,X3,X4]: (pd0_247(X0,X1)|pd0_0(X2,X1)|pd0_1(X0,X3,X4))),
% 43.81/6.95 inference(resolution,[status(thm)],[f17835,f12684])).
% 43.81/6.95 fof(f17876,plain,(
% 43.81/6.95 ![X0,X1,X2,X3]: (pd0_247(X0,X1)|pd0_0(X2,X1)|pd0_0(X0,X3))),
% 43.81/6.95 inference(resolution,[status(thm)],[f17835,f2869])).
% 43.81/6.95 fof(f17877,plain,(
% 43.81/6.95 spl0_220 <=> pd0_247(X0,X1)|p(s(bool,X0))|~p(s(bool,X1))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17880,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_247(X0,X1)|p(s(bool,X0))|p(s(bool,X2))|~p(s(bool,X1)))),
% 43.81/6.95 inference(resolution,[status(thm)],[f17835,f12672])).
% 43.81/6.95 fof(f17881,plain,(
% 43.81/6.95 spl0_220|spl0_3),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17880,f17877,f14332])).
% 43.81/6.95 fof(f17882,plain,(
% 43.81/6.95 spl0_221 <=> pd0_247(u_falsityu_,X0)|pd0_0(X1,X0)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17885,plain,(
% 43.81/6.95 ![X0,X1]: (pd0_247(u_falsityu_,X0)|p(s(bool,f0))|pd0_0(X1,X0))),
% 43.81/6.95 inference(paramodulation,[status(thm)],[f2904,f17835])).
% 43.81/6.95 fof(f17886,plain,(
% 43.81/6.95 spl0_221|spl0_2),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17885,f17882,f14329])).
% 43.81/6.95 fof(f17887,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,X0))|~p(s(bool,X1))|~spl0_219)),
% 43.81/6.95 inference(backward_subsumption_resolution,[status(thm)],[f12672,f17844])).
% 43.81/6.95 fof(f17888,plain,(
% 43.81/6.95 spl0_3|spl0_5|~spl0_219),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17887,f14332,f14341,f17843])).
% 43.81/6.95 fof(f17932,plain,(
% 43.81/6.95 spl0_222 <=> pd0_1(X2,X3,X4)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17933,plain,(
% 43.81/6.95 ![X0,X1,X2]: (pd0_1(X0,X1,X2)|~spl0_222)),
% 43.81/6.95 inference(component_clause,[status(thm)],[f17932])).
% 43.81/6.95 fof(f17940,plain,(
% 43.81/6.95 spl0_223 <=> pd0_247(X0,X1)|pd0_0(X2,X1)|p(s(bool,X0))),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f17945,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,X0))|p(s(bool,X1))|~spl0_222)),
% 43.81/6.95 inference(backward_subsumption_resolution,[status(thm)],[f2892,f17933])).
% 43.81/6.95 fof(f17946,plain,(
% 43.81/6.95 spl0_3|~spl0_222),
% 43.81/6.95 inference(split_clause,[status(thm)],[f17945,f14332,f17932])).
% 43.81/6.95 fof(f18019,plain,(
% 43.81/6.95 ![X0,X1]: (p(s(bool,X0))|~pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1))))),
% 43.81/6.95 inference(resolution,[status(thm)],[f2870,f15277])).
% 43.81/6.95 fof(f18022,plain,(
% 43.81/6.95 ![X0,X1,X2]: (p(s(bool,X0))|~pd0_0(X0,X1)|pd0_0(X2,X1))),
% 43.81/6.95 inference(resolution,[status(thm)],[f2870,f15166])).
% 43.81/6.95 fof(f18030,plain,(
% 43.81/6.95 spl0_225 <=> pd0_0(X1,X2)|pd0_247(X3,X2)|pd0_1(X4,X5,X3)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f18033,plain,(
% 43.81/6.95 ![X0,X1,X2,X3,X4,X5]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_247(X3,X2)|pd0_1(X4,X5,X3))),
% 43.81/6.95 inference(resolution,[status(thm)],[f18022,f17872])).
% 43.81/6.95 fof(f18034,plain,(
% 43.81/6.95 spl0_3|spl0_225),
% 43.81/6.95 inference(split_clause,[status(thm)],[f18033,f14332,f18030])).
% 43.81/6.95 fof(f18035,plain,(
% 43.81/6.95 spl0_226 <=> pd0_0(X1,X2)|pd0_247(X3,X2)|pd0_1(X3,X4,X5)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f18038,plain,(
% 43.81/6.95 ![X0,X1,X2,X3,X4,X5]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_247(X3,X2)|pd0_1(X3,X4,X5))),
% 43.81/6.95 inference(resolution,[status(thm)],[f18022,f17875])).
% 43.81/6.95 fof(f18039,plain,(
% 43.81/6.95 spl0_3|spl0_226),
% 43.81/6.95 inference(split_clause,[status(thm)],[f18038,f14332,f18035])).
% 43.81/6.95 fof(f18040,plain,(
% 43.81/6.95 spl0_227 <=> pd0_0(X1,X2)|pd0_247(X3,X2)|pd0_1(X4,X3,X5)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f18043,plain,(
% 43.81/6.95 ![X0,X1,X2,X3,X4,X5]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_247(X3,X2)|pd0_1(X4,X3,X5))),
% 43.81/6.95 inference(resolution,[status(thm)],[f18022,f17873])).
% 43.81/6.95 fof(f18044,plain,(
% 43.81/6.95 spl0_3|spl0_227),
% 43.81/6.95 inference(split_clause,[status(thm)],[f18043,f14332,f18040])).
% 43.81/6.95 fof(f18045,plain,(
% 43.81/6.95 spl0_228 <=> pd0_0(X1,X2)|pd0_1(X3,X4,X2)),
% 43.81/6.95 introduced(split_symbol_definition)).
% 43.81/6.95 fof(f18048,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_1(X3,X4,X2))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18022,f17705])).
% 43.81/6.96 fof(f18049,plain,(
% 43.81/6.96 spl0_3|spl0_228),
% 43.81/6.96 inference(split_clause,[status(thm)],[f18048,f14332,f18045])).
% 43.81/6.96 fof(f18050,plain,(
% 43.81/6.96 spl0_229 <=> pd0_0(X1,X2)|pd0_1(X3,X2,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f18053,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_1(X3,X2,X4))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18022,f17690])).
% 43.81/6.96 fof(f18054,plain,(
% 43.81/6.96 spl0_3|spl0_229),
% 43.81/6.96 inference(split_clause,[status(thm)],[f18053,f14332,f18050])).
% 43.81/6.96 fof(f18055,plain,(
% 43.81/6.96 spl0_230 <=> pd0_0(X1,X2)|pd0_1(X2,X3,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f18058,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_1(X2,X3,X4))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18022,f16209])).
% 43.81/6.96 fof(f18059,plain,(
% 43.81/6.96 spl0_3|spl0_230),
% 43.81/6.96 inference(split_clause,[status(thm)],[f18058,f14332,f18055])).
% 43.81/6.96 fof(f18061,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_247(X0,X3)|pd0_0(X4,X3))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18022,f17876])).
% 43.81/6.96 fof(f18062,plain,(
% 43.81/6.96 spl0_223|spl0_219),
% 43.81/6.96 inference(split_clause,[status(thm)],[f18061,f17940,f17843])).
% 43.81/6.96 fof(f18064,plain,(
% 43.81/6.96 spl0_231 <=> pd0_0(X1,X2)|pd0_247(X3,X2)|pd0_0(X3,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f18067,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_247(X3,X2)|pd0_0(X3,X4))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18022,f17876])).
% 43.81/6.96 fof(f18068,plain,(
% 43.81/6.96 spl0_3|spl0_231),
% 43.81/6.96 inference(split_clause,[status(thm)],[f18067,f14332,f18064])).
% 43.81/6.96 fof(f18072,plain,(
% 43.81/6.96 spl0_232 <=> pd0_0(X1,X2)|pd0_0(X2,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f18075,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_0(X2,X3))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18022,f16208])).
% 43.81/6.96 fof(f18076,plain,(
% 43.81/6.96 spl0_3|spl0_232),
% 43.81/6.96 inference(split_clause,[status(thm)],[f18075,f14332,f18072])).
% 43.81/6.96 fof(f18082,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_2(X0,X1,t)|~p(s(bool,X1)))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3040,f2856])).
% 43.81/6.96 fof(f18084,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_2(X0,X1,X2)|~p(s(bool,X1))|pd0_0(X3,X2))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3040,f15166])).
% 43.81/6.96 fof(f18092,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_2(X0,X1,t)|~p(s(bool,X0)))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3041,f2856])).
% 43.81/6.96 fof(f18094,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_2(X0,X1,X2)|~p(s(bool,X0))|pd0_0(X3,X2))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3041,f15166])).
% 43.81/6.96 fof(f18102,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(X0,X1,t)|~p(s(bool,X0)))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3050,f2856])).
% 43.81/6.96 fof(f18104,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_3(X0,X1,X2)|~p(s(bool,X0))|pd0_0(X3,X2))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3050,f15166])).
% 43.81/6.96 fof(f18112,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(X0,t,X1)|~p(s(bool,X0)))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3051,f2856])).
% 43.81/6.96 fof(f18114,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_3(X0,X1,X2)|~p(s(bool,X0))|pd0_0(X3,X1))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3051,f15166])).
% 43.81/6.96 fof(f18128,plain,(
% 43.81/6.96 ![X0]: (s(bool,f0)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0))))),
% 43.81/6.96 inference(resolution,[status(thm)],[f3069,f6049])).
% 43.81/6.96 fof(f18286,plain,(
% 43.81/6.96 s(bool,t)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))))|spl0_159),
% 43.81/6.96 inference(resolution,[status(thm)],[f15481,f3065])).
% 43.81/6.96 fof(f18550,plain,(
% 43.81/6.96 spl0_277 <=> s(bool,t)=s(bool,t)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f18552,plain,(
% 43.81/6.96 ~s(bool,t)=s(bool,t)|spl0_277),
% 43.81/6.96 inference(component_clause,[status(thm)],[f18550])).
% 43.81/6.96 fof(f18559,plain,(
% 43.81/6.96 $false|spl0_277),
% 43.81/6.96 inference(trivial_equality_resolution,[status(esa)],[f18552])).
% 43.81/6.96 fof(f18560,plain,(
% 43.81/6.96 spl0_277),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f18559])).
% 43.81/6.96 fof(f18661,plain,(
% 43.81/6.96 spl0_290 <=> pd0_247(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),X0)|pd0_0(X1,X0)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f18662,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_247(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))),X0)|pd0_0(X1,X0)|~spl0_290)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f18661])).
% 43.81/6.96 fof(f19127,plain,(
% 43.81/6.96 spl0_302 <=> pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19128,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)))|~spl0_302)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f19127])).
% 43.81/6.96 fof(f19226,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_302)),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f18019,f19128])).
% 43.81/6.96 fof(f19228,plain,(
% 43.81/6.96 $false|~spl0_302),
% 43.81/6.96 inference(backward_subsumption_resolution,[status(thm)],[f6049,f19226])).
% 43.81/6.96 fof(f19229,plain,(
% 43.81/6.96 ~spl0_302),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f19228])).
% 43.81/6.96 fof(f19375,plain,(
% 43.81/6.96 ~p(s(bool,f0))),
% 43.81/6.96 inference(backward_demodulation,[status(thm)],[f18128,f6049])).
% 43.81/6.96 fof(f19408,plain,(
% 43.81/6.96 spl0_303 <=> ~s(real,X0)=s(real,X0)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19409,plain,(
% 43.81/6.96 ![X0]: (~s(real,X0)=s(real,X0)|~spl0_303)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f19408])).
% 43.81/6.96 fof(f19413,plain,(
% 43.81/6.96 spl0_304 <=> pd0_247(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0)),X1)|pd0_0(X2,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19418,plain,(
% 43.81/6.96 spl0_305 <=> pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X1)))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19431,plain,(
% 43.81/6.96 $false|~spl0_303),
% 43.81/6.96 inference(trivial_equality_resolution,[status(esa)],[f19409])).
% 43.81/6.96 fof(f19432,plain,(
% 43.81/6.96 ~spl0_303),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f19431])).
% 43.81/6.96 fof(f19473,plain,(
% 43.81/6.96 spl0_307 <=> p(s(bool,X1))|pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19485,plain,(
% 43.81/6.96 spl0_309 <=> pd0_247(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X1)),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19488,plain,(
% 43.81/6.96 ![X0,X1,X2]: (p(s(bool,X0))|pd0_247(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X1)),i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2))))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18019,f17859])).
% 43.81/6.96 fof(f19489,plain,(
% 43.81/6.96 spl0_3|spl0_309),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19488,f14332,f19485])).
% 43.81/6.96 fof(f19501,plain,(
% 43.81/6.96 spl0_312 <=> pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))|pd0_1(X3,X4,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19504,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (p(s(bool,X0))|pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))|pd0_1(X3,X4,X1))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18019,f17872])).
% 43.81/6.96 fof(f19505,plain,(
% 43.81/6.96 spl0_3|spl0_312),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19504,f14332,f19501])).
% 43.81/6.96 fof(f19506,plain,(
% 43.81/6.96 spl0_313 <=> pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))|pd0_1(X1,X3,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19509,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (p(s(bool,X0))|pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))|pd0_1(X1,X3,X4))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18019,f17875])).
% 43.81/6.96 fof(f19510,plain,(
% 43.81/6.96 spl0_3|spl0_313),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19509,f14332,f19506])).
% 43.81/6.96 fof(f19511,plain,(
% 43.81/6.96 spl0_314 <=> pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))|pd0_1(X3,X1,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19514,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (p(s(bool,X0))|pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))|pd0_1(X3,X1,X4))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18019,f17873])).
% 43.81/6.96 fof(f19515,plain,(
% 43.81/6.96 spl0_3|spl0_314),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19514,f14332,f19511])).
% 43.81/6.96 fof(f19516,plain,(
% 43.81/6.96 spl0_315 <=> pd0_1(X1,X2,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X3)))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19521,plain,(
% 43.81/6.96 spl0_316 <=> pd0_1(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19526,plain,(
% 43.81/6.96 spl0_317 <=> pd0_1(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),X2,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19533,plain,(
% 43.81/6.96 spl0_318 <=> pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))|pd0_0(X1,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19536,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (p(s(bool,X0))|pd0_247(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)))|pd0_0(X1,X3))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18019,f17876])).
% 43.81/6.96 fof(f19537,plain,(
% 43.81/6.96 spl0_3|spl0_318),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19536,f14332,f19533])).
% 43.81/6.96 fof(f19539,plain,(
% 43.81/6.96 spl0_319 <=> pd0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19604,plain,(
% 43.81/6.96 spl0_320 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,X0))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X0))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19605,plain,(
% 43.81/6.96 ![X0]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,X0))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X0))))|~spl0_320)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f19604])).
% 43.81/6.96 fof(f19646,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,f0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f18128,f5946])).
% 43.81/6.96 fof(f19647,plain,(
% 43.81/6.96 spl0_2|spl0_207),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19646,f14329,f17766])).
% 43.81/6.96 fof(f19678,plain,(
% 43.81/6.96 spl0_322 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19679,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0))))|~spl0_322)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f19678])).
% 43.81/6.96 fof(f19711,plain,(
% 43.81/6.96 p(s(bool,f0))|~spl0_322),
% 43.81/6.96 inference(forward_demodulation,[status(thm)],[f18128,f19679])).
% 43.81/6.96 fof(f19712,plain,(
% 43.81/6.96 $false|~spl0_322),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f19711,f19375])).
% 43.81/6.96 fof(f19713,plain,(
% 43.81/6.96 ~spl0_322),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f19712])).
% 43.81/6.96 fof(f19720,plain,(
% 43.81/6.96 spl0_323 <=> s(real,X0)=s(real,X0)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19723,plain,(
% 43.81/6.96 ![X0]: (s(real,X0)=s(real,X0)|p(s(bool,f0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0)))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f18128,f6112])).
% 43.81/6.96 fof(f19724,plain,(
% 43.81/6.96 spl0_323|spl0_2),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19723,f19720,f14329])).
% 43.81/6.96 fof(f19812,plain,(
% 43.81/6.96 ~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))|s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))=s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))|spl0_159),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f18286,f6032])).
% 43.81/6.96 fof(f19813,plain,(
% 43.81/6.96 ~spl0_10|spl0_171|spl0_168|spl0_159),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19812,f14363,f15485,f15433,f15120])).
% 43.81/6.96 fof(f19864,plain,(
% 43.81/6.96 spl0_325 <=> ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f19867,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f6020])).
% 43.81/6.96 fof(f19868,plain,(
% 43.81/6.96 ~spl0_10|spl0_325),
% 43.81/6.96 inference(split_clause,[status(thm)],[f19867,f14363,f19864])).
% 43.81/6.96 fof(f20007,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))|pd0_0(X0,X1)|~spl0_290)),
% 43.81/6.96 inference(resolution,[status(thm)],[f14126,f18662])).
% 43.81/6.96 fof(f20008,plain,(
% 43.81/6.96 ~spl0_184|spl0_219|~spl0_290),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20007,f16339,f17843,f18661])).
% 43.81/6.96 fof(f20045,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|pd0_0(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f2869])).
% 43.81/6.96 fof(f20046,plain,(
% 43.81/6.96 ~spl0_10|spl0_319),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20045,f14363,f19539])).
% 43.81/6.96 fof(f20064,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_1(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f12684])).
% 43.81/6.96 fof(f20065,plain,(
% 43.81/6.96 spl0_317|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20064,f19526,f14363])).
% 43.81/6.96 fof(f20083,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,t))|pd0_1(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f2891])).
% 43.81/6.96 fof(f20084,plain,(
% 43.81/6.96 ~spl0_10|spl0_316),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20083,f14363,f19521])).
% 43.81/6.96 fof(f20102,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,t))|pd0_1(X0,X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f2890])).
% 43.81/6.96 fof(f20103,plain,(
% 43.81/6.96 ~spl0_10|spl0_315),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20102,f14363,f19516])).
% 43.81/6.96 fof(f20124,plain,(
% 43.81/6.96 spl0_332 <=> pd0_2(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),t)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20127,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_2(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),t)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f18082])).
% 43.81/6.96 fof(f20128,plain,(
% 43.81/6.96 spl0_332|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20127,f20124,f14363])).
% 43.81/6.96 fof(f20158,plain,(
% 43.81/6.96 spl0_337 <=> pd0_2(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))),u_falsityu_)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20159,plain,(
% 43.81/6.96 ![X0]: (pd0_2(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))),u_falsityu_)|~spl0_337)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f20158])).
% 43.81/6.96 fof(f20181,plain,(
% 43.81/6.96 spl0_340 <=> pd0_2(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,t)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20184,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_2(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,t)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f18092])).
% 43.81/6.96 fof(f20185,plain,(
% 43.81/6.96 spl0_340|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20184,f20181,f14363])).
% 43.81/6.96 fof(f20214,plain,(
% 43.81/6.96 spl0_345 <=> pd0_2(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))),X0,u_falsityu_)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20215,plain,(
% 43.81/6.96 ![X0]: (pd0_2(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955)))),X0,u_falsityu_)|~spl0_345)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f20214])).
% 43.81/6.96 fof(f20237,plain,(
% 43.81/6.96 spl0_348 <=> pd0_3(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,t)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20240,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,t)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f18102])).
% 43.81/6.96 fof(f20241,plain,(
% 43.81/6.96 spl0_348|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20240,f20237,f14363])).
% 43.81/6.96 fof(f20293,plain,(
% 43.81/6.96 spl0_356 <=> pd0_3(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),t,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20296,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),t,X1)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f18112])).
% 43.81/6.96 fof(f20297,plain,(
% 43.81/6.96 spl0_356|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20296,f20293,f14363])).
% 43.81/6.96 fof(f20346,plain,(
% 43.81/6.96 ![X0,X1,X2]: (p(s(bool,X0))|pd0_0(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X2))),s(real,X2))))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18022,f16662])).
% 43.81/6.96 fof(f20347,plain,(
% 43.81/6.96 spl0_3|spl0_305),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20346,f14332,f19418])).
% 43.81/6.96 fof(f20357,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (p(s(bool,X0))|pd0_0(X1,X2)|pd0_247(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X3))),s(real,X3)),X2))),
% 43.81/6.96 inference(resolution,[status(thm)],[f18022,f17859])).
% 43.81/6.96 fof(f20358,plain,(
% 43.81/6.96 spl0_3|spl0_304),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20357,f14332,f19413])).
% 43.81/6.96 fof(f20406,plain,(
% 43.81/6.96 spl0_365 <=> pd0_2(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),X2)|pd0_0(X3,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20409,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_2(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),X2)|~p(s(bool,t))|pd0_0(X3,X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f18084])).
% 43.81/6.96 fof(f20410,plain,(
% 43.81/6.96 spl0_365|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20409,f20406,f14363])).
% 43.81/6.96 fof(f20464,plain,(
% 43.81/6.96 spl0_373 <=> pd0_2(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|pd0_0(X3,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20467,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_2(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|~p(s(bool,t))|pd0_0(X3,X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f18094])).
% 43.81/6.96 fof(f20468,plain,(
% 43.81/6.96 spl0_373|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20467,f20464,f14363])).
% 43.81/6.96 fof(f20522,plain,(
% 43.81/6.96 spl0_381 <=> pd0_3(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|pd0_0(X3,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20525,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_3(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|~p(s(bool,t))|pd0_0(X3,X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f18104])).
% 43.81/6.96 fof(f20526,plain,(
% 43.81/6.96 spl0_381|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20525,f20522,f14363])).
% 43.81/6.96 fof(f20580,plain,(
% 43.81/6.96 spl0_389 <=> pd0_3(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|pd0_0(X3,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20583,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_3(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|~p(s(bool,t))|pd0_0(X3,X1))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f18114])).
% 43.81/6.96 fof(f20584,plain,(
% 43.81/6.96 spl0_389|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20583,f20580,f14363])).
% 43.81/6.96 fof(f20638,plain,(
% 43.81/6.96 spl0_397 <=> pd0_22(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|~pd0_250(X1,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20641,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_22(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),X1,X2)|~p(s(bool,t))|~pd0_250(X1,X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f12799])).
% 43.81/6.96 fof(f20642,plain,(
% 43.81/6.96 spl0_397|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20641,f20638,f14363])).
% 43.81/6.96 fof(f20650,plain,(
% 43.81/6.96 spl0_399 <=> pd0_247(X2,X3)|pd0_0(X4,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20651,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_0(X2,X1)|~spl0_399)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f20650])).
% 43.81/6.96 fof(f20693,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_0(X0,X1)|~p(s(bool,X2))|~spl0_399)),
% 43.81/6.96 inference(resolution,[status(thm)],[f20651,f14126])).
% 43.81/6.96 fof(f20694,plain,(
% 43.81/6.96 spl0_219|spl0_5|~spl0_399),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20693,f17843,f14341,f20650])).
% 43.81/6.96 fof(f20817,plain,(
% 43.81/6.96 spl0_414 <=> pd0_3(X0,X1,X2)|pd0_0(X3,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f20818,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_3(X0,X1,X2)|pd0_0(X3,X2)|~spl0_414)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f20817])).
% 43.81/6.96 fof(f20830,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_0(X0,X1)|p(s(bool,X2))|~spl0_414)),
% 43.81/6.96 inference(resolution,[status(thm)],[f20818,f12694])).
% 43.81/6.96 fof(f20831,plain,(
% 43.81/6.96 spl0_219|spl0_3|~spl0_414),
% 43.81/6.96 inference(split_clause,[status(thm)],[f20830,f17843,f14332,f20817])).
% 43.81/6.96 fof(f20860,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(sk0_12(X0,bool),t,X1)|~p(s(bool,X0)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3143,f18112])).
% 43.81/6.96 fof(f20861,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(sk0_12(X0,bool),X1,t)|~p(s(bool,X0)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3143,f18102])).
% 43.81/6.96 fof(f20864,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,X0))|pd0_1(X1,X2,sk0_12(X0,bool)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3143,f2890])).
% 43.81/6.96 fof(f20865,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,X0))|pd0_1(X1,sk0_12(X0,bool),X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3143,f2891])).
% 43.81/6.96 fof(f20866,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_1(sk0_12(X0,bool),X1,X2)|~p(s(bool,X0)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3143,f12684])).
% 43.81/6.96 fof(f20867,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,X0))|pd0_0(sk0_12(X0,bool),X1))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3143,f2869])).
% 43.81/6.96 fof(f21040,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(sk0_13(X0,bool),t,X1)|~p(s(bool,X0)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3147,f18112])).
% 43.81/6.96 fof(f21041,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(sk0_13(X0,bool),X1,t)|~p(s(bool,X0)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3147,f18102])).
% 43.81/6.96 fof(f21044,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,X0))|pd0_1(X1,X2,sk0_13(X0,bool)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3147,f2890])).
% 43.81/6.96 fof(f21045,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,X0))|pd0_1(X1,sk0_13(X0,bool),X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3147,f2891])).
% 43.81/6.96 fof(f21046,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_1(sk0_13(X0,bool),X1,X2)|~p(s(bool,X0)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3147,f12684])).
% 43.81/6.96 fof(f21047,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,X0))|pd0_0(sk0_13(X0,bool),X1))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3147,f2869])).
% 43.81/6.96 fof(f21215,plain,(
% 43.81/6.96 spl0_418 <=> s(real,X0)=s(real,sk0_14(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f21218,plain,(
% 43.81/6.96 ![X0]: (s(real,X0)=s(real,sk0_14(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3153])).
% 43.81/6.96 fof(f21219,plain,(
% 43.81/6.96 spl0_418|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f21218,f21215,f14363])).
% 43.81/6.96 fof(f21272,plain,(
% 43.81/6.96 spl0_422 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_14(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f21275,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_14(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3154])).
% 43.81/6.96 fof(f21276,plain,(
% 43.81/6.96 spl0_422|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f21275,f21272,f14363])).
% 43.81/6.96 fof(f21318,plain,(
% 43.81/6.96 spl0_426 <=> s(real,sk0_15(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))=s(real,X0)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f21321,plain,(
% 43.81/6.96 ![X0]: (s(real,sk0_15(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))=s(real,X0)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3159])).
% 43.81/6.96 fof(f21322,plain,(
% 43.81/6.96 spl0_426|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f21321,f21318,f14363])).
% 43.81/6.96 fof(f21375,plain,(
% 43.81/6.96 spl0_430 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_15(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f21378,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_15(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3160])).
% 43.81/6.96 fof(f21379,plain,(
% 43.81/6.96 spl0_430|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f21378,f21375,f14363])).
% 43.81/6.96 fof(f21444,plain,(
% 43.81/6.96 spl0_436 <=> s(real,sk0_16(X0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0)),real))=s(real,X0)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f21447,plain,(
% 43.81/6.96 ![X0]: (s(real,sk0_16(X0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0)),real))=s(real,X0)|p(s(bool,f0)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f18128,f3165])).
% 43.81/6.96 fof(f21448,plain,(
% 43.81/6.96 spl0_436|spl0_2),
% 43.81/6.96 inference(split_clause,[status(thm)],[f21447,f21444,f14329])).
% 43.81/6.96 fof(f21526,plain,(
% 43.81/6.96 spl0_440 <=> s(real,X0)=s(real,sk0_17(X0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0)),real))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f21529,plain,(
% 43.81/6.96 ![X0]: (s(real,X0)=s(real,sk0_17(X0,i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0)),real))|p(s(bool,f0)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f18128,f3172])).
% 43.81/6.96 fof(f21530,plain,(
% 43.81/6.96 spl0_440|spl0_2),
% 43.81/6.96 inference(split_clause,[status(thm)],[f21529,f21526,f14329])).
% 43.81/6.96 fof(f21680,plain,(
% 43.81/6.96 spl0_456 <=> pd0_3(X0,X1,X2)|pd0_0(X3,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f21681,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_3(X0,X1,X2)|pd0_0(X3,X1)|~spl0_456)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f21680])).
% 43.81/6.96 fof(f21693,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_0(X0,X1)|p(s(bool,X2))|~spl0_456)),
% 43.81/6.96 inference(resolution,[status(thm)],[f21681,f12694])).
% 43.81/6.96 fof(f21694,plain,(
% 43.81/6.96 spl0_219|spl0_3|~spl0_456),
% 43.81/6.96 inference(split_clause,[status(thm)],[f21693,f17843,f14332,f21680])).
% 43.81/6.96 fof(f22733,plain,(
% 43.81/6.96 spl0_568 <=> pd0_3(X0,X1,t)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f22734,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(X0,X1,t)|~spl0_568)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f22733])).
% 43.81/6.96 fof(f22749,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_568)),
% 43.81/6.96 inference(resolution,[status(thm)],[f22734,f12694])).
% 43.81/6.96 fof(f22750,plain,(
% 43.81/6.96 spl0_3|~spl0_568),
% 43.81/6.96 inference(split_clause,[status(thm)],[f22749,f14332,f22733])).
% 43.81/6.96 fof(f22763,plain,(
% 43.81/6.96 spl0_572 <=> pd0_3(X0,t,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f22764,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(X0,t,X1)|~spl0_572)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f22763])).
% 43.81/6.96 fof(f22779,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_572)),
% 43.81/6.96 inference(resolution,[status(thm)],[f22764,f12694])).
% 43.81/6.96 fof(f22780,plain,(
% 43.81/6.96 spl0_3|~spl0_572),
% 43.81/6.96 inference(split_clause,[status(thm)],[f22779,f14332,f22763])).
% 43.81/6.96 fof(f22924,plain,(
% 43.81/6.96 spl0_592 <=> ~s(real,X0)=s(real,X1)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f22927,plain,(
% 43.81/6.96 ![X0,X1]: (~s(real,X0)=s(real,X1)|~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3152])).
% 43.81/6.96 fof(f22928,plain,(
% 43.81/6.96 spl0_592|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f22927,f22924,f14363])).
% 43.81/6.96 fof(f22931,plain,(
% 43.81/6.96 spl0_593 <=> ~s(real,X0)=s(real,X1)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f22932,plain,(
% 43.81/6.96 ![X0,X1]: (~s(real,X0)=s(real,X1)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))|~spl0_593)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f22931])).
% 43.81/6.96 fof(f22968,plain,(
% 43.81/6.96 ![X0,X1]: (~s(real,X0)=s(real,X1)|~spl0_593)),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f22932,f6047])).
% 43.81/6.96 fof(f23110,plain,(
% 43.81/6.96 spl0_595 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23113,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f15316])).
% 43.81/6.96 fof(f23114,plain,(
% 43.81/6.96 ~spl0_10|spl0_595),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23113,f14363,f23110])).
% 43.81/6.96 fof(f23162,plain,(
% 43.81/6.96 spl0_597 <=> s(real,X0)=s(real,X1)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23165,plain,(
% 43.81/6.96 ![X0,X1]: (s(real,X0)=s(real,X1)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))|~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1)))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f15667])).
% 43.81/6.96 fof(f23166,plain,(
% 43.81/6.96 spl0_597|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23165,f23162,f14363])).
% 43.81/6.96 fof(f23307,plain,(
% 43.81/6.96 $false|~spl0_593),
% 43.81/6.96 inference(backward_subsumption_resolution,[status(thm)],[f12477,f22968])).
% 43.81/6.96 fof(f23308,plain,(
% 43.81/6.96 ~spl0_593),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f23307])).
% 43.81/6.96 fof(f23361,plain,(
% 43.81/6.96 spl0_599 <=> pd0_0(sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23364,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|pd0_0(sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f20867])).
% 43.81/6.96 fof(f23365,plain,(
% 43.81/6.96 ~spl0_10|spl0_599),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23364,f14363,f23361])).
% 43.81/6.96 fof(f23392,plain,(
% 43.81/6.96 spl0_603 <=> pd0_0(sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23395,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|pd0_0(sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f21047])).
% 43.81/6.96 fof(f23396,plain,(
% 43.81/6.96 ~spl0_10|spl0_603),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23395,f14363,f23392])).
% 43.81/6.96 fof(f23442,plain,(
% 43.81/6.96 spl0_607 <=> pd0_1(X0,X1,sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),bool))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23445,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,t))|pd0_1(X0,X1,sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),bool)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f20864])).
% 43.81/6.96 fof(f23446,plain,(
% 43.81/6.96 ~spl0_10|spl0_607),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23445,f14363,f23442])).
% 43.81/6.96 fof(f23473,plain,(
% 43.81/6.96 spl0_611 <=> pd0_1(X0,sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),bool),X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23476,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,t))|pd0_1(X0,sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),bool),X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f20865])).
% 43.81/6.96 fof(f23477,plain,(
% 43.81/6.96 ~spl0_10|spl0_611),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23476,f14363,f23473])).
% 43.81/6.96 fof(f23504,plain,(
% 43.81/6.96 spl0_615 <=> pd0_1(sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23507,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_1(sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1,X2)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f20866])).
% 43.81/6.96 fof(f23508,plain,(
% 43.81/6.96 spl0_615|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23507,f23504,f14363])).
% 43.81/6.96 fof(f23535,plain,(
% 43.81/6.96 spl0_619 <=> pd0_1(X0,X1,sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),bool))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23538,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,t))|pd0_1(X0,X1,sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),bool)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f21044])).
% 43.81/6.96 fof(f23539,plain,(
% 43.81/6.96 ~spl0_10|spl0_619),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23538,f14363,f23535])).
% 43.81/6.96 fof(f23566,plain,(
% 43.81/6.96 spl0_623 <=> pd0_1(X0,sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),bool),X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23569,plain,(
% 43.81/6.96 ![X0,X1,X2]: (~p(s(bool,t))|pd0_1(X0,sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)),bool),X2))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f21045])).
% 43.81/6.96 fof(f23570,plain,(
% 43.81/6.96 ~spl0_10|spl0_623),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23569,f14363,f23566])).
% 43.81/6.96 fof(f23597,plain,(
% 43.81/6.96 spl0_627 <=> pd0_1(sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23600,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_1(sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1,X2)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f21046])).
% 43.81/6.96 fof(f23601,plain,(
% 43.81/6.96 spl0_627|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23600,f23597,f14363])).
% 43.81/6.96 fof(f23666,plain,(
% 43.81/6.96 spl0_631 <=> pd0_3(sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),t,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23669,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),t,X1)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f20860])).
% 43.81/6.96 fof(f23670,plain,(
% 43.81/6.96 spl0_631|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23669,f23666,f14363])).
% 43.81/6.96 fof(f23697,plain,(
% 43.81/6.96 spl0_635 <=> pd0_3(sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1,t)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23700,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(sk0_12(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1,t)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f20861])).
% 43.81/6.96 fof(f23701,plain,(
% 43.81/6.96 spl0_635|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23700,f23697,f14363])).
% 43.81/6.96 fof(f23728,plain,(
% 43.81/6.96 spl0_639 <=> pd0_3(sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),t,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23731,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),t,X1)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f21040])).
% 43.81/6.96 fof(f23732,plain,(
% 43.81/6.96 spl0_639|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23731,f23728,f14363])).
% 43.81/6.96 fof(f23759,plain,(
% 43.81/6.96 spl0_643 <=> pd0_3(sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1,t)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23762,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(sk0_13(i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)),bool),X1,t)|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f21041])).
% 43.81/6.96 fof(f23763,plain,(
% 43.81/6.96 spl0_643|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23762,f23759,f14363])).
% 43.81/6.96 fof(f23790,plain,(
% 43.81/6.96 spl0_647 <=> p(s(bool,X0))|~pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23793,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|p(s(bool,X0))|~pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f2870])).
% 43.81/6.96 fof(f23794,plain,(
% 43.81/6.96 ~spl0_10|spl0_647),
% 43.81/6.96 inference(split_clause,[status(thm)],[f23793,f14363,f23790])).
% 43.81/6.96 fof(f23797,plain,(
% 43.81/6.96 spl0_648 <=> p(s(bool,X0))|~pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X1)))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f23798,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,X0))|~pd0_0(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X1)))|~spl0_648)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f23797])).
% 43.81/6.96 fof(f23804,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_648)),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f23798,f16662])).
% 43.81/6.96 fof(f23805,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))|~spl0_648)),
% 43.81/6.96 inference(backward_subsumption_resolution,[status(thm)],[f6107,f23804])).
% 43.81/6.96 fof(f23806,plain,(
% 43.81/6.96 $false|~spl0_648),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f23805,f23804])).
% 43.81/6.96 fof(f23807,plain,(
% 43.81/6.96 ~spl0_648),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f23806])).
% 43.81/6.96 fof(f24211,plain,(
% 43.81/6.96 spl0_649 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sk0_23(realu_le,real,real)))),s(real,sk0_22(realu_le,real,real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f24216,plain,(
% 43.81/6.96 ~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sk0_23(realu_le,real,real)))),s(real,sk0_22(realu_le,real,real)))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3183])).
% 43.81/6.96 fof(f24217,plain,(
% 43.81/6.96 ~spl0_10|spl0_649),
% 43.81/6.96 inference(split_clause,[status(thm)],[f24216,f14363,f24211])).
% 43.81/6.96 fof(f24245,plain,(
% 43.81/6.96 spl0_651 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sk0_24(realu_le,real,real)))),s(real,sk0_25(realu_le,real,real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f24250,plain,(
% 43.81/6.96 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sk0_24(realu_le,real,real)))),s(real,sk0_25(realu_le,real,real)))))|~p(s(bool,t))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3184])).
% 43.81/6.96 fof(f24251,plain,(
% 43.81/6.96 spl0_651|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f24250,f24245,f14363])).
% 43.81/6.96 fof(f24663,plain,(
% 43.81/6.96 spl0_698 <=> pd0_2(X2,X3,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f24664,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_2(X0,X1,X1)|~spl0_698)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f24663])).
% 43.81/6.96 fof(f24676,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_698)),
% 43.81/6.96 inference(resolution,[status(thm)],[f24664,f12687])).
% 43.81/6.96 fof(f24677,plain,(
% 43.81/6.96 spl0_3|~spl0_698),
% 43.81/6.96 inference(split_clause,[status(thm)],[f24676,f14332,f24663])).
% 43.81/6.96 fof(f24704,plain,(
% 43.81/6.96 spl0_703 <=> pd0_2(X2,X3,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f24705,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_2(X0,X1,X0)|~spl0_703)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f24704])).
% 43.81/6.96 fof(f24717,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_703)),
% 43.81/6.96 inference(resolution,[status(thm)],[f24705,f12687])).
% 43.81/6.96 fof(f24718,plain,(
% 43.81/6.96 spl0_3|~spl0_703),
% 43.81/6.96 inference(split_clause,[status(thm)],[f24717,f14332,f24704])).
% 43.81/6.96 fof(f24745,plain,(
% 43.81/6.96 spl0_708 <=> pd0_3(X2,X2,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f24746,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(X0,X0,X1)|~spl0_708)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f24745])).
% 43.81/6.96 fof(f24791,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_708)),
% 43.81/6.96 inference(resolution,[status(thm)],[f24746,f12694])).
% 43.81/6.96 fof(f24792,plain,(
% 43.81/6.96 spl0_3|~spl0_708),
% 43.81/6.96 inference(split_clause,[status(thm)],[f24791,f14332,f24745])).
% 43.81/6.96 fof(f24820,plain,(
% 43.81/6.96 spl0_717 <=> pd0_3(X2,X3,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f24821,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_3(X0,X1,X0)|~spl0_717)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f24820])).
% 43.81/6.96 fof(f24833,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_717)),
% 43.81/6.96 inference(resolution,[status(thm)],[f24821,f12694])).
% 43.81/6.96 fof(f24834,plain,(
% 43.81/6.96 spl0_3|~spl0_717),
% 43.81/6.96 inference(split_clause,[status(thm)],[f24833,f14332,f24820])).
% 43.81/6.96 fof(f24913,plain,(
% 43.81/6.96 spl0_722 <=> pd0_247(X2,X3)|pd0_0(X2,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f24914,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_0(X0,X2)|~spl0_722)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f24913])).
% 43.81/6.96 fof(f24939,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_0(X0,X1)|p(s(bool,X2))|~spl0_722)),
% 43.81/6.96 inference(resolution,[status(thm)],[f24914,f14125])).
% 43.81/6.96 fof(f24940,plain,(
% 43.81/6.96 spl0_219|spl0_3|~spl0_722),
% 43.81/6.96 inference(split_clause,[status(thm)],[f24939,f17843,f14332,f24913])).
% 43.81/6.96 fof(f24942,plain,(
% 43.81/6.96 spl0_724 <=> pd0_247(X0,X1)|p(s(bool,X0))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f24943,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_247(X0,X1)|p(s(bool,X0))|~spl0_724)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f24942])).
% 43.81/6.96 fof(f24981,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_0(X0,X2)|~spl0_724)),
% 43.81/6.96 inference(resolution,[status(thm)],[f24943,f2869])).
% 43.81/6.96 fof(f24982,plain,(
% 43.81/6.96 spl0_722|~spl0_724),
% 43.81/6.96 inference(split_clause,[status(thm)],[f24981,f24913,f24942])).
% 43.81/6.96 fof(f25109,plain,(
% 43.81/6.96 spl0_732 <=> pd0_2(X2,X3,X4)|pd0_247(X2,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25110,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_2(X0,X1,X2)|pd0_247(X0,X2)|~spl0_732)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25109])).
% 43.81/6.96 fof(f25122,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_247(X0,X1)|p(s(bool,X1))|~spl0_732)),
% 43.81/6.96 inference(resolution,[status(thm)],[f25110,f12687])).
% 43.81/6.96 fof(f25123,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_732)),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f25122,f14125])).
% 43.81/6.96 fof(f25125,plain,(
% 43.81/6.96 $false|~spl0_732),
% 43.81/6.96 inference(backward_subsumption_resolution,[status(thm)],[f19375,f25123])).
% 43.81/6.96 fof(f25126,plain,(
% 43.81/6.96 ~spl0_732),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f25125])).
% 43.81/6.96 fof(f25860,plain,(
% 43.81/6.96 spl0_783 <=> pd0_247(X2,X3)|pd0_3(X3,X4,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25861,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_3(X1,X2,X0)|~spl0_783)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25860])).
% 43.81/6.96 fof(f25865,plain,(
% 43.81/6.96 spl0_784 <=> pd0_247(X2,X3)|pd0_3(X3,X2,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25866,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_3(X1,X0,X2)|~spl0_784)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25865])).
% 43.81/6.96 fof(f25870,plain,(
% 43.81/6.96 spl0_785 <=> pd0_247(X2,X3)|pd0_2(X3,X4,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25871,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_2(X1,X2,X0)|~spl0_785)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25870])).
% 43.81/6.96 fof(f25875,plain,(
% 43.81/6.96 spl0_786 <=> pd0_247(X2,X3)|pd0_2(X4,X3,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25876,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_2(X2,X1,X0)|~spl0_786)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25875])).
% 43.81/6.96 fof(f25890,plain,(
% 43.81/6.96 spl0_787 <=> pd0_247(X1,X2)|pd0_3(X1,X3,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25891,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_3(X0,X2,X0)|~spl0_787)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25890])).
% 43.81/6.96 fof(f25897,plain,(
% 43.81/6.96 spl0_788 <=> pd0_247(X1,X2)|pd0_3(X1,X1,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25898,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_3(X0,X0,X2)|~spl0_788)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25897])).
% 43.81/6.96 fof(f25904,plain,(
% 43.81/6.96 spl0_789 <=> pd0_247(X1,X2)|pd0_2(X1,X3,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25905,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_2(X0,X2,X0)|~spl0_789)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25904])).
% 43.81/6.96 fof(f25911,plain,(
% 43.81/6.96 spl0_790 <=> pd0_247(X1,X2)|pd0_2(X3,X1,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25912,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_2(X2,X0,X0)|~spl0_790)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25911])).
% 43.81/6.96 fof(f25920,plain,(
% 43.81/6.96 spl0_791 <=> pd0_247(X2,X3)|pd0_1(X4,X5,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25921,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_247(X0,X1)|pd0_1(X2,X3,X0)|~spl0_791)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25920])).
% 43.81/6.96 fof(f25927,plain,(
% 43.81/6.96 spl0_792 <=> pd0_247(X2,X3)|pd0_1(X2,X4,X5)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25928,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_247(X0,X1)|pd0_1(X0,X2,X3)|~spl0_792)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25927])).
% 43.81/6.96 fof(f25934,plain,(
% 43.81/6.96 spl0_793 <=> pd0_247(X2,X3)|pd0_1(X4,X2,X5)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25935,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_247(X0,X1)|pd0_1(X2,X0,X3)|~spl0_793)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25934])).
% 43.81/6.96 fof(f25946,plain,(
% 43.81/6.96 spl0_795 <=> pd0_247(X2,X3)|pd0_3(X2,X3,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25947,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_3(X0,X1,X2)|~spl0_795)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25946])).
% 43.81/6.96 fof(f25951,plain,(
% 43.81/6.96 spl0_796 <=> pd0_247(X2,X3)|pd0_3(X2,X4,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f25952,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_3(X0,X2,X1)|~spl0_796)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f25951])).
% 43.81/6.96 fof(f26015,plain,(
% 43.81/6.96 spl0_802 <=> pd0_2(X0,X1,X2)|pd0_247(X0,X4)|pd0_0(X5,X4)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26016,plain,(
% 43.81/6.96 ![X0,X1,X2,X3,X4]: (pd0_2(X0,X1,X2)|pd0_247(X0,X3)|pd0_0(X4,X3)|~spl0_802)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f26015])).
% 43.81/6.96 fof(f26020,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_1(X0,X1,X2)|p(s(bool,X3))|~spl0_793)),
% 43.81/6.96 inference(resolution,[status(thm)],[f25935,f14125])).
% 43.81/6.96 fof(f26021,plain,(
% 43.81/6.96 spl0_222|spl0_3|~spl0_793),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26020,f17932,f14332,f25934])).
% 43.81/6.96 fof(f26023,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_1(X0,X1,X2)|~spl0_792)),
% 43.81/6.96 inference(backward_subsumption_resolution,[status(thm)],[f12682,f25928])).
% 43.81/6.96 fof(f26024,plain,(
% 43.81/6.96 spl0_222|~spl0_792),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26023,f17932,f25927])).
% 43.81/6.96 fof(f26027,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_1(X0,X1,X2)|p(s(bool,X3))|~spl0_791)),
% 43.81/6.96 inference(resolution,[status(thm)],[f25921,f14125])).
% 43.81/6.96 fof(f26028,plain,(
% 43.81/6.96 spl0_222|spl0_3|~spl0_791),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26027,f17932,f14332,f25920])).
% 43.81/6.96 fof(f26029,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_2(X0,X1,X1)|p(s(bool,X2))|~spl0_790)),
% 43.81/6.96 inference(resolution,[status(thm)],[f25912,f14125])).
% 43.81/6.96 fof(f26030,plain,(
% 43.81/6.96 spl0_698|spl0_3|~spl0_790),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26029,f24663,f14332,f25911])).
% 43.81/6.96 fof(f26031,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_2(X0,X1,X0)|p(s(bool,X2))|~spl0_789)),
% 43.81/6.96 inference(resolution,[status(thm)],[f25905,f14125])).
% 43.81/6.96 fof(f26032,plain,(
% 43.81/6.96 spl0_703|spl0_3|~spl0_789),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26031,f24704,f14332,f25904])).
% 43.81/6.96 fof(f26033,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_3(X0,X0,X1)|p(s(bool,X2))|~spl0_788)),
% 43.81/6.96 inference(resolution,[status(thm)],[f25898,f14125])).
% 43.81/6.96 fof(f26034,plain,(
% 43.81/6.96 spl0_708|spl0_3|~spl0_788),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26033,f24745,f14332,f25897])).
% 43.81/6.96 fof(f26035,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_3(X0,X1,X0)|p(s(bool,X2))|~spl0_787)),
% 43.81/6.96 inference(resolution,[status(thm)],[f25891,f14125])).
% 43.81/6.96 fof(f26036,plain,(
% 43.81/6.96 spl0_717|spl0_3|~spl0_787),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26035,f24820,f14332,f25890])).
% 43.81/6.96 fof(f26125,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,X0))|pd0_247(X0,X1)|~spl0_785)),
% 43.81/6.96 inference(resolution,[status(thm)],[f12687,f25871])).
% 43.81/6.96 fof(f26126,plain,(
% 43.81/6.96 spl0_724|~spl0_785),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26125,f24942,f25870])).
% 43.81/6.96 fof(f26127,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,X0))|pd0_247(X0,X1)|~spl0_786)),
% 43.81/6.96 inference(resolution,[status(thm)],[f12687,f25876])).
% 43.81/6.96 fof(f26128,plain,(
% 43.81/6.96 spl0_724|~spl0_786),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26127,f24942,f25875])).
% 43.81/6.96 fof(f26221,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,X0))|pd0_247(X1,X0)|~spl0_783)),
% 43.81/6.96 inference(resolution,[status(thm)],[f12694,f25861])).
% 43.81/6.96 fof(f26222,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_783)),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f26221,f14125])).
% 43.81/6.96 fof(f26223,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,X0))|pd0_247(X1,X0)|~spl0_784)),
% 43.81/6.96 inference(resolution,[status(thm)],[f12694,f25866])).
% 43.81/6.96 fof(f26224,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_784)),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f26223,f14125])).
% 43.81/6.96 fof(f26225,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,X0))|pd0_247(X0,X1)|~spl0_795)),
% 43.81/6.96 inference(resolution,[status(thm)],[f12694,f25947])).
% 43.81/6.96 fof(f26226,plain,(
% 43.81/6.96 spl0_724|~spl0_795),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26225,f24942,f25946])).
% 43.81/6.96 fof(f26227,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,X0))|pd0_247(X0,X1)|~spl0_796)),
% 43.81/6.96 inference(resolution,[status(thm)],[f12694,f25952])).
% 43.81/6.96 fof(f26228,plain,(
% 43.81/6.96 spl0_724|~spl0_796),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26227,f24942,f25951])).
% 43.81/6.96 fof(f26234,plain,(
% 43.81/6.96 $false|~spl0_783),
% 43.81/6.96 inference(backward_subsumption_resolution,[status(thm)],[f19375,f26222])).
% 43.81/6.96 fof(f26235,plain,(
% 43.81/6.96 ~spl0_783),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f26234])).
% 43.81/6.96 fof(f26240,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_784)),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f3147,f26224])).
% 43.81/6.96 fof(f26241,plain,(
% 43.81/6.96 spl0_3|~spl0_784),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26240,f14332,f25865])).
% 43.81/6.96 fof(f26370,plain,(
% 43.81/6.96 spl0_804 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_38(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,i(s(fun(real,bool),X1),s(real,sk0_39(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26373,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_38(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,i(s(fun(real,bool),X1),s(real,sk0_39(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3216])).
% 43.81/6.96 fof(f26374,plain,(
% 43.81/6.96 ~spl0_10|spl0_804),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26373,f14363,f26370])).
% 43.81/6.96 fof(f26402,plain,(
% 43.81/6.96 spl0_808 <=> p(s(bool,i(s(fun(real,bool),X0),s(real,sk0_38(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_39(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26405,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),X0),s(real,sk0_38(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_39(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real))))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3217])).
% 43.81/6.96 fof(f26406,plain,(
% 43.81/6.96 ~spl0_10|spl0_808),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26405,f14363,f26402])).
% 43.81/6.96 fof(f26434,plain,(
% 43.81/6.96 spl0_812 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_40(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,i(s(fun(real,bool),X1),s(real,sk0_41(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26437,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_40(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,i(s(fun(real,bool),X1),s(real,sk0_41(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3218])).
% 43.81/6.96 fof(f26438,plain,(
% 43.81/6.96 spl0_812|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26437,f26434,f14363])).
% 43.81/6.96 fof(f26466,plain,(
% 43.81/6.96 spl0_816 <=> p(s(bool,i(s(fun(real,bool),X0),s(real,sk0_40(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_41(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26469,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),X0),s(real,sk0_40(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_41(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3219])).
% 43.81/6.96 fof(f26470,plain,(
% 43.81/6.96 spl0_816|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26469,f26466,f14363])).
% 43.81/6.96 fof(f26498,plain,(
% 43.81/6.96 spl0_820 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_42(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,i(s(fun(real,bool),X1),s(real,sk0_43(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26501,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_42(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,i(s(fun(real,bool),X1),s(real,sk0_43(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3223])).
% 43.81/6.96 fof(f26502,plain,(
% 43.81/6.96 ~spl0_10|spl0_820),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26501,f14363,f26498])).
% 43.81/6.96 fof(f26530,plain,(
% 43.81/6.96 spl0_824 <=> p(s(bool,i(s(fun(real,bool),X0),s(real,sk0_42(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_43(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26533,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),X0),s(real,sk0_42(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_43(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real))))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3224])).
% 43.81/6.96 fof(f26534,plain,(
% 43.81/6.96 ~spl0_10|spl0_824),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26533,f14363,f26530])).
% 43.81/6.96 fof(f26562,plain,(
% 43.81/6.96 spl0_828 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_44(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,i(s(fun(real,bool),X1),s(real,sk0_45(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26565,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_44(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,i(s(fun(real,bool),X1),s(real,sk0_45(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3225])).
% 43.81/6.96 fof(f26566,plain,(
% 43.81/6.96 spl0_828|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26565,f26562,f14363])).
% 43.81/6.96 fof(f26594,plain,(
% 43.81/6.96 spl0_832 <=> p(s(bool,i(s(fun(real,bool),X0),s(real,sk0_44(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_45(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26597,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),X0),s(real,sk0_44(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_45(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3226])).
% 43.81/6.96 fof(f26598,plain,(
% 43.81/6.96 spl0_832|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26597,f26594,f14363])).
% 43.81/6.96 fof(f26626,plain,(
% 43.81/6.96 spl0_836 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_46(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,X1))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26629,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_46(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,X1)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3230])).
% 43.81/6.96 fof(f26630,plain,(
% 43.81/6.96 ~spl0_10|spl0_836),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26629,f14363,f26626])).
% 43.81/6.96 fof(f26658,plain,(
% 43.81/6.96 spl0_840 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_47(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,X1))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26661,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_47(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,X1))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3232])).
% 43.81/6.96 fof(f26662,plain,(
% 43.81/6.96 spl0_840|~spl0_10),
% 43.81/6.96 inference(split_clause,[status(thm)],[f26661,f26658,f14363])).
% 43.81/6.96 fof(f26729,plain,(
% 43.81/6.96 spl0_844 <=> pd0_3(X0,X1,X2)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f26730,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_3(X0,X1,X2)|~spl0_844)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f26729])).
% 43.81/6.96 fof(f27249,plain,(
% 43.81/6.96 spl0_867 <=> pd0_247(X0,X1)|pd0_247(X2,X0)|pd0_0(X2,X3)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f27250,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_247(X0,X1)|pd0_247(X2,X0)|pd0_0(X2,X3)|~spl0_867)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f27249])).
% 43.81/6.96 fof(f27272,plain,(
% 43.81/6.96 spl0_870 <=> pd0_247(X0,X1)),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f27273,plain,(
% 43.81/6.96 ![X0,X1]: (pd0_247(X0,X1)|~spl0_870)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f27272])).
% 43.81/6.96 fof(f27277,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_247(X0,X1)|pd0_0(X2,X3)|p(s(bool,X0))|~spl0_867)),
% 43.81/6.96 inference(resolution,[status(thm)],[f27250,f14125])).
% 43.81/6.96 fof(f27278,plain,(
% 43.81/6.96 spl0_724|spl0_219|~spl0_867),
% 43.81/6.96 inference(split_clause,[status(thm)],[f27277,f24942,f17843,f27249])).
% 43.81/6.96 fof(f27281,plain,(
% 43.81/6.96 spl0_871 <=> pd0_247(X0,X1)|pd0_247(X2,X0)|p(s(bool,X2))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f27282,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_247(X0,X1)|pd0_247(X2,X0)|p(s(bool,X2))|~spl0_871)),
% 43.81/6.96 inference(component_clause,[status(thm)],[f27281])).
% 43.81/6.96 fof(f27290,plain,(
% 43.81/6.96 ![X0,X1,X2]: (pd0_1(X0,X1,X2)|~spl0_870)),
% 43.81/6.96 inference(backward_subsumption_resolution,[status(thm)],[f12682,f27273])).
% 43.81/6.96 fof(f27291,plain,(
% 43.81/6.96 spl0_222|~spl0_870),
% 43.81/6.96 inference(split_clause,[status(thm)],[f27290,f17932,f27272])).
% 43.81/6.96 fof(f27328,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_247(X0,X1)|pd0_247(X2,X0)|pd0_0(X2,X3)|~spl0_871)),
% 43.81/6.96 inference(resolution,[status(thm)],[f27282,f2869])).
% 43.81/6.96 fof(f27329,plain,(
% 43.81/6.96 spl0_867|~spl0_871),
% 43.81/6.96 inference(split_clause,[status(thm)],[f27328,f27249,f27281])).
% 43.81/6.96 fof(f27999,plain,(
% 43.81/6.96 ![X0]: (p(s(bool,X0))|~spl0_844)),
% 43.81/6.96 inference(forward_subsumption_resolution,[status(thm)],[f12694,f26730])).
% 43.81/6.96 fof(f28001,plain,(
% 43.81/6.96 $false|~spl0_844),
% 43.81/6.96 inference(backward_subsumption_resolution,[status(thm)],[f19375,f27999])).
% 43.81/6.96 fof(f28002,plain,(
% 43.81/6.96 ~spl0_844),
% 43.81/6.96 inference(contradiction_clause,[status(thm)],[f28001])).
% 43.81/6.96 fof(f28159,plain,(
% 43.81/6.96 ![X0,X1,X2,X3]: (pd0_247(X0,X1)|pd0_0(X2,X1)|p(s(bool,X3))|~spl0_802)),
% 43.81/6.96 inference(resolution,[status(thm)],[f26016,f12687])).
% 43.81/6.96 fof(f28160,plain,(
% 43.81/6.96 spl0_399|spl0_3|~spl0_802),
% 43.81/6.96 inference(split_clause,[status(thm)],[f28159,f20650,f14332,f26015])).
% 43.81/6.96 fof(f28213,plain,(
% 43.81/6.96 spl0_891 <=> p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_48(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f28216,plain,(
% 43.81/6.96 ![X0,X1]: (~p(s(bool,t))|p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_48(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real))))))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3238])).
% 43.81/6.96 fof(f28217,plain,(
% 43.81/6.96 ~spl0_10|spl0_891),
% 43.81/6.96 inference(split_clause,[status(thm)],[f28216,f14363,f28213])).
% 43.81/6.96 fof(f28253,plain,(
% 43.81/6.96 spl0_895 <=> p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_49(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))),
% 43.81/6.96 introduced(split_symbol_definition)).
% 43.81/6.96 fof(f28256,plain,(
% 43.81/6.96 ![X0,X1]: (p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_49(i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),X0,real)))))|~p(s(bool,t)))),
% 43.81/6.96 inference(paramodulation,[status(thm)],[f17725,f3240])).
% 43.81/6.97 fof(f28257,plain,(
% 43.81/6.97 spl0_895|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28256,f28253,f14363])).
% 43.81/6.97 fof(f28293,plain,(
% 43.81/6.97 spl0_899 <=> ~p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_50(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),real)))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f28296,plain,(
% 43.81/6.97 ![X0,X1]: (~p(s(bool,t))|~p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_50(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),real))))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3244])).
% 43.81/6.97 fof(f28297,plain,(
% 43.81/6.97 ~spl0_10|spl0_899),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28296,f14363,f28293])).
% 43.81/6.97 fof(f28333,plain,(
% 43.81/6.97 spl0_903 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_51(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,X1))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f28336,plain,(
% 43.81/6.97 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_51(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,t))|~p(s(bool,X1)))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3246])).
% 43.81/6.97 fof(f28337,plain,(
% 43.81/6.97 spl0_903|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28336,f28333,f14363])).
% 43.81/6.97 fof(f28373,plain,(
% 43.81/6.97 spl0_907 <=> ~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_52(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X3)),X0)))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f28376,plain,(
% 43.81/6.97 ![X0,X1,X2,X3]: (~p(s(bool,t))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_52(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X3)),X0))))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3252])).
% 43.81/6.97 fof(f28377,plain,(
% 43.81/6.97 ~spl0_10|spl0_907),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28376,f14363,f28373])).
% 43.81/6.97 fof(f28396,plain,(
% 43.81/6.97 spl0_911 <=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_53(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f28399,plain,(
% 43.81/6.97 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_53(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),X0)))))|~p(s(bool,t))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3254])).
% 43.81/6.97 fof(f28400,plain,(
% 43.81/6.97 spl0_911|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28399,f28396,f14363])).
% 43.81/6.97 fof(f28419,plain,(
% 43.81/6.97 spl0_915 <=> ~p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_54(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),real)))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f28422,plain,(
% 43.81/6.97 ![X0,X1]: (~p(s(bool,t))|~p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_54(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),real))))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3264])).
% 43.81/6.97 fof(f28423,plain,(
% 43.81/6.97 ~spl0_10|spl0_915),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28422,f14363,f28419])).
% 43.81/6.97 fof(f28459,plain,(
% 43.81/6.97 spl0_919 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_55(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,X1))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f28462,plain,(
% 43.81/6.97 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_55(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,t))|~p(s(bool,X1)))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3266])).
% 43.81/6.97 fof(f28463,plain,(
% 43.81/6.97 spl0_919|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28462,f28459,f14363])).
% 43.81/6.97 fof(f28499,plain,(
% 43.81/6.97 spl0_923 <=> ~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_56(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X3)),X0)))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f28502,plain,(
% 43.81/6.97 ![X0,X1,X2,X3]: (~p(s(bool,t))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X2))))|p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_56(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X3)),X0))))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3272])).
% 43.81/6.97 fof(f28503,plain,(
% 43.81/6.97 ~spl0_10|spl0_923),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28502,f14363,f28499])).
% 43.81/6.97 fof(f28522,plain,(
% 43.81/6.97 spl0_927 <=> p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_57(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),X0)))))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f28525,plain,(
% 43.81/6.97 ![X0,X1,X2,X3]: (p(s(bool,i(s(fun(X0,bool),X1),s(X0,sk0_57(X1,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X2)),X0)))))|~p(s(bool,t))|~p(s(bool,i(s(fun(X0,bool),X1),s(X0,X3)))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3274])).
% 43.81/6.97 fof(f28526,plain,(
% 43.81/6.97 spl0_927|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f28525,f28522,f14363])).
% 43.81/6.97 fof(f29103,plain,(
% 43.81/6.97 spl0_970 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f29104,plain,(
% 43.81/6.97 ![X0]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))))))|~spl0_970)),
% 43.81/6.97 inference(component_clause,[status(thm)],[f29103])).
% 43.81/6.97 fof(f29106,plain,(
% 43.81/6.97 ![X0]: (~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))))))|~spl0_320)),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f16085,f19605])).
% 43.81/6.97 fof(f29107,plain,(
% 43.81/6.97 ~spl0_184|spl0_970|~spl0_320),
% 43.81/6.97 inference(split_clause,[status(thm)],[f29106,f16339,f29103,f19604])).
% 43.81/6.97 fof(f29118,plain,(
% 43.81/6.97 p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))))|~spl0_970),
% 43.81/6.97 inference(forward_demodulation,[status(thm)],[f16085,f29104])).
% 43.81/6.97 fof(f29119,plain,(
% 43.81/6.97 p(s(bool,f0))|~spl0_970),
% 43.81/6.97 inference(forward_demodulation,[status(thm)],[f18128,f29118])).
% 43.81/6.97 fof(f29120,plain,(
% 43.81/6.97 $false|~spl0_970),
% 43.81/6.97 inference(forward_subsumption_resolution,[status(thm)],[f29119,f19375])).
% 43.81/6.97 fof(f29121,plain,(
% 43.81/6.97 ~spl0_970),
% 43.81/6.97 inference(contradiction_clause,[status(thm)],[f29120])).
% 43.81/6.97 fof(f29122,plain,(
% 43.81/6.97 p(s(bool,u_falsityu_))|~spl0_337),
% 43.81/6.97 inference(resolution,[status(thm)],[f20159,f12687])).
% 43.81/6.97 fof(f29123,plain,(
% 43.81/6.97 spl0_174|~spl0_337),
% 43.81/6.97 inference(split_clause,[status(thm)],[f29122,f16231,f20158])).
% 43.81/6.97 fof(f29467,plain,(
% 43.81/6.97 spl0_994 <=> pd0_3(X2,X3,X4)|pd0_247(X2,X5)),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f29468,plain,(
% 43.81/6.97 ![X0,X1,X2,X3]: (pd0_3(X0,X1,X2)|pd0_247(X0,X3)|~spl0_994)),
% 43.81/6.97 inference(component_clause,[status(thm)],[f29467])).
% 43.81/6.97 fof(f29483,plain,(
% 43.81/6.97 ![X0,X1]: (pd0_247(X0,X1)|p(s(bool,X0))|~spl0_994)),
% 43.81/6.97 inference(resolution,[status(thm)],[f29468,f12694])).
% 43.81/6.97 fof(f29484,plain,(
% 43.81/6.97 spl0_724|~spl0_994),
% 43.81/6.97 inference(split_clause,[status(thm)],[f29483,f24942,f29467])).
% 43.81/6.97 fof(f30422,plain,(
% 43.81/6.97 ![X0,X1]: (pd0_247(X0,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X1)))|~p(s(bool,t))|p(s(bool,X0)))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f14127])).
% 43.81/6.97 fof(f30423,plain,(
% 43.81/6.97 spl0_307|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30422,f19473,f14363])).
% 43.81/6.97 fof(f30463,plain,(
% 43.81/6.97 spl0_1004 <=> ~s(bool,f0)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30466,plain,(
% 43.81/6.97 ![X0]: (~s(bool,f0)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)))|~p(s(bool,t)))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3068])).
% 43.81/6.97 fof(f30467,plain,(
% 43.81/6.97 spl0_1004|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30466,f30463,f14363])).
% 43.81/6.97 fof(f30470,plain,(
% 43.81/6.97 spl0_1005 <=> ~s(bool,f0)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0)))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30471,plain,(
% 43.81/6.97 ![X0]: (~s(bool,f0)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X0)))|~spl0_1005)),
% 43.81/6.97 inference(component_clause,[status(thm)],[f30470])).
% 43.81/6.97 fof(f30479,plain,(
% 43.81/6.97 ~s(bool,f0)=s(bool,f0)|~spl0_1005),
% 43.81/6.97 inference(forward_demodulation,[status(thm)],[f18128,f30471])).
% 43.81/6.97 fof(f30480,plain,(
% 43.81/6.97 $false|~spl0_1005),
% 43.81/6.97 inference(trivial_equality_resolution,[status(esa)],[f30479])).
% 43.81/6.97 fof(f30481,plain,(
% 43.81/6.97 ~spl0_1005),
% 43.81/6.97 inference(contradiction_clause,[status(thm)],[f30480])).
% 43.81/6.97 fof(f30495,plain,(
% 43.81/6.97 spl0_1007 <=> s(bool,t)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30498,plain,(
% 43.81/6.97 ![X0]: (s(bool,t)=s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X0)))|~p(s(bool,t)))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3065])).
% 43.81/6.97 fof(f30499,plain,(
% 43.81/6.97 spl0_1007|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30498,f30495,f14363])).
% 43.81/6.97 fof(f30568,plain,(
% 43.81/6.97 spl0_1010 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_62(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,X1))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30571,plain,(
% 43.81/6.97 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_62(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,t))|p(s(bool,X1)))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3313])).
% 43.81/6.97 fof(f30572,plain,(
% 43.81/6.97 spl0_1010|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30571,f30568,f14363])).
% 43.81/6.97 fof(f30615,plain,(
% 43.81/6.97 spl0_1014 <=> p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_63(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),real)))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30618,plain,(
% 43.81/6.97 ![X0,X1]: (~p(s(bool,t))|p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_63(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),real))))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3315])).
% 43.81/6.97 fof(f30619,plain,(
% 43.81/6.97 ~spl0_10|spl0_1014),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30618,f14363,f30615])).
% 43.81/6.97 fof(f30662,plain,(
% 43.81/6.97 spl0_1018 <=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_64(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|p(s(bool,X1))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30665,plain,(
% 43.81/6.97 ![X0,X1]: (p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_64(X1,i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))|~p(s(bool,t))|p(s(bool,X1)))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3321])).
% 43.81/6.97 fof(f30666,plain,(
% 43.81/6.97 spl0_1018|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30665,f30662,f14363])).
% 43.81/6.97 fof(f30709,plain,(
% 43.81/6.97 spl0_1022 <=> p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_65(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),real)))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30712,plain,(
% 43.81/6.97 ![X0,X1]: (~p(s(bool,t))|p(s(bool,X0))|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,sk0_65(X0,i(s(fun(real,fun(real,bool)),realu_le),s(real,X1)),real))))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3323])).
% 43.81/6.97 fof(f30713,plain,(
% 43.81/6.97 ~spl0_10|spl0_1022),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30712,f14363,f30709])).
% 43.81/6.97 fof(f30780,plain,(
% 43.81/6.97 spl0_1033 <=> ~pd0_6(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)|s(real,sk0_66(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))=s(real,X0)),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30783,plain,(
% 43.81/6.97 ![X0]: (~pd0_6(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)|~p(s(bool,t))|s(real,sk0_66(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))=s(real,X0))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3345])).
% 43.81/6.97 fof(f30784,plain,(
% 43.81/6.97 spl0_1033|~spl0_10),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30783,f30780,f14363])).
% 43.81/6.97 fof(f30935,plain,(
% 43.81/6.97 spl0_1045 <=> ~pd0_7(sk0_69(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real),sk0_68(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_70(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30938,plain,(
% 43.81/6.97 ![X0]: (~p(s(bool,t))|~pd0_7(sk0_69(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real),sk0_68(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)|p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sk0_70(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))))))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3363])).
% 43.81/6.97 fof(f30939,plain,(
% 43.81/6.97 ~spl0_10|spl0_1045),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30938,f14363,f30935])).
% 43.81/6.97 fof(f30992,plain,(
% 43.81/6.97 spl0_1051 <=> ~pd0_7(sk0_69(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real),sk0_68(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))|s(real,X1)=s(real,sk0_70(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real))),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f30995,plain,(
% 43.81/6.97 ![X0,X1]: (~p(s(bool,t))|~pd0_7(sk0_69(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real),sk0_68(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)|~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))|s(real,X1)=s(real,sk0_70(i(s(fun(real,fun(real,bool)),realu_le),s(real,X0)),real)))),
% 43.81/6.97 inference(paramodulation,[status(thm)],[f17725,f3364])).
% 43.81/6.97 fof(f30996,plain,(
% 43.81/6.97 ~spl0_10|spl0_1051),
% 43.81/6.97 inference(split_clause,[status(thm)],[f30995,f14363,f30992])).
% 43.81/6.97 fof(f31023,plain,(
% 43.81/6.97 p(s(bool,u_falsityu_))|~spl0_345),
% 43.81/6.97 inference(resolution,[status(thm)],[f20215,f12687])).
% 43.81/6.97 fof(f31024,plain,(
% 43.81/6.97 spl0_174|~spl0_345),
% 43.81/6.97 inference(split_clause,[status(thm)],[f31023,f16231,f20214])).
% 43.81/6.97 fof(f32063,plain,(
% 43.81/6.97 spl0_1170 <=> p(s(bool,X0))|pd0_247(sk0_13(X0,bool),X3)),
% 43.81/6.97 introduced(split_symbol_definition)).
% 43.81/6.97 fof(f32064,plain,(
% 43.81/6.97 ![X0,X1]: (p(s(bool,X0))|pd0_247(sk0_13(X0,bool),X1)|~spl0_1170)),
% 43.81/6.97 inference(component_clause,[status(thm)],[f32063])).
% 43.81/6.97 fof(f32083,plain,(
% 43.81/6.97 ![X0,X1]: (p(s(bool,X0))|p(s(bool,X1))|~spl0_1170)),
% 43.81/6.97 inference(resolution,[status(thm)],[f32064,f14125])).
% 43.81/6.97 fof(f32084,plain,(
% 43.81/6.97 spl0_3|~spl0_1170),
% 43.81/6.97 inference(split_clause,[status(thm)],[f32083,f14332,f32063])).
% 43.81/6.97 fof(f32145,plain,(
% 43.81/6.97 ~p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,i(s(fun(cart(real,sk0_2954),real),vectoru_norm),s(cart(real,sk0_2954),sk0_2955))))))|~spl0_171),
% 43.81/6.97 inference(resolution,[status(thm)],[f5945,f15486])).
% 43.81/6.97 fof(f32146,plain,(
% 43.81/6.97 $false|~spl0_171),
% 43.81/6.97 inference(forward_subsumption_resolution,[status(thm)],[f32145,f15787])).
% 43.81/6.97 fof(f32147,plain,(
% 43.81/6.97 ~spl0_171),
% 43.81/6.97 inference(contradiction_clause,[status(thm)],[f32146])).
% 43.81/6.97 fof(f32148,plain,(
% 43.81/6.97 $false),
% 43.81/6.97 inference(sat_refutation,[status(thm)],[f14339,f14340,f14366,f14370,f14462,f14667,f14844,f14854,f15020,f15024,f15055,f15126,f15127,f15168,f15180,f15228,f15461,f15478,f16087,f16194,f16202,f16238,f16245,f16265,f16272,f16343,f16364,f16367,f16399,f16402,f16427,f16477,f16480,f16512,f16544,f16576,f17012,f17557,f17563,f17570,f17575,f17700,f17737,f17751,f17760,f17765,f17775,f17780,f17785,f17790,f17795,f17800,f17811,f17816,f17821,f17826,f17881,f17886,f17888,f17946,f18034,f18039,f18044,f18049,f18054,f18059,f18062,f18068,f18076,f18560,f19229,f19432,f19489,f19505,f19510,f19515,f19537,f19647,f19713,f19724,f19813,f19868,f20008,f20046,f20065,f20084,f20103,f20128,f20185,f20241,f20297,f20347,f20358,f20410,f20468,f20526,f20584,f20642,f20694,f20831,f21219,f21276,f21322,f21379,f21448,f21530,f21694,f22750,f22780,f22928,f23114,f23166,f23308,f23365,f23396,f23446,f23477,f23508,f23539,f23570,f23601,f23670,f23701,f23732,f23763,f23794,f23807,f24217,f24251,f24677,f24718,f24792,f24834,f24940,f24982,f25126,f26021,f26024,f26028,f26030,f26032,f26034,f26036,f26126,f26128,f26226,f26228,f26235,f26241,f26374,f26406,f26438,f26470,f26502,f26534,f26566,f26598,f26630,f26662,f27278,f27291,f27329,f28002,f28160,f28217,f28257,f28297,f28337,f28377,f28400,f28423,f28463,f28503,f28526,f29107,f29121,f29123,f29484,f30423,f30467,f30481,f30499,f30572,f30619,f30666,f30713,f30784,f30939,f30996,f31024,f32084,f32147])).
% 44.56/7.08 % SZS output end CNFRefutation for theBenchmark.p
% 46.16/7.25 % Elapsed time: 6.909879 seconds
% 46.16/7.25 % CPU time: 45.728392 seconds
% 46.16/7.25 % Total memory used: 1.699 GB
% 46.16/7.25 % Net memory used: 1.693 GB
%------------------------------------------------------------------------------