TSTP Solution File: LCL642+1.005 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:19:47 EDT 2023
% Result : Theorem 2.61s 0.72s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 09:41:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 2.61/0.72 % Refutation found
% 2.61/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.61/0.72 % SZS output start CNFRefutation for theBenchmark
% 2.61/0.72 fof(f1,conjecture,(
% 2.61/0.72 ~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ p3(X) ) )))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ p1(X) ) )))| ~ ( ( ( ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ))& ( p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )| ~ (! [Y] :( ~ r1(X,Y)| ( ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )))| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ))& ( p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ( ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )))| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ))& ( p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ) ))| ~ ( ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ))& ( p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ) ) )) ))& ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )) )) ) )),
% 2.61/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.61/0.72 fof(f2,negated_conjecture,(
% 2.61/0.72 ~(~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ p3(X) ) )))| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )))| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ p1(X) ) )))| ~ ( ( ( ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ))& ( p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )| ~ (! [Y] :( ~ r1(X,Y)| ( ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )))| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ))& ( p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ( ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) )))| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ))& ( p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ) ))| ~ ( ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y) ))| ~ p2(X) ) )) ))& ( p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) ) ) )) ))& ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p4(Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p4(X)| p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p3(X)| p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p2(Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p2(X)| p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& ( p1(X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ))| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y)| (! [X] :( ~ r1(Y,X)| $false ) )))| ~ ( p1(X)| (! [Y] :( ~ r1(X,Y)| $false ) )) ) )) ))& (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )) )) ) ))),
% 2.61/0.73 inference(negated_conjecture,[status(cth)],[f1])).
% 2.61/0.73 fof(f3,plain,(
% 2.61/0.73 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&(((((((((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))|(?[Y]: ((r1(X,Y)&(((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))))|(((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(((p2(X)|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((~p2(X)&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((p1(X)|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(~p1(X)&(?[Y]: (r1(X,Y)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 2.61/0.73 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.61/0.73 fof(f4,plain,(
% 2.61/0.73 ![X]: (pd0_0(X)=>(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))),
% 2.61/0.73 introduced(predicate_definition,[f3])).
% 2.61/0.73 fof(f5,plain,(
% 2.61/0.73 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))))|(((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(((p2(X)|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((~p2(X)&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((p1(X)|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(~p1(X)&(?[Y]: (r1(X,Y)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 2.61/0.73 inference(formula_renaming,[status(thm)],[f3,f4])).
% 2.61/0.73 fof(f6,plain,(
% 2.61/0.73 ![Y]: (pd0_1(Y)=>((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))),
% 2.61/0.73 introduced(predicate_definition,[f5])).
% 2.61/0.73 fof(f7,plain,(
% 2.61/0.73 ![Y]: (pd0_2(Y)=>(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))),
% 2.61/0.73 introduced(predicate_definition,[f5])).
% 2.61/0.73 fof(f8,plain,(
% 2.61/0.73 ![X]: (pd0_3(X)=>((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))),
% 2.61/0.73 introduced(predicate_definition,[f5])).
% 2.61/0.73 fof(f9,plain,(
% 2.61/0.73 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(pd0_1(Y)|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((((p3(X)|p2(X))|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&(((p2(X)|p1(X))|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|((~p2(X)&~p1(X))&(?[Y]: (r1(X,Y)&$true)))))))))&((p1(X)|(![Y]: (~r1(X,Y)|$false)))|(?[Y]: (((r1(X,Y)&~p1(Y))&(?[X]: (r1(Y,X)&$true)))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: (~r1(Y,X)|$false)))))|(~p1(X)&(?[Y]: (r1(X,Y)&$true)))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 2.61/0.73 inference(formula_renaming,[status(thm)],[f5,f8,f7,f6])).
% 2.61/0.73 fof(f10,plain,(
% 2.61/0.73 ?[X]: (((((((?[Y]: (r1(X,Y)&~p3(Y)))&(![Y]: ((~r1(X,Y)|p3(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p3(X))))))&(?[Y]: (r1(X,Y)&~p2(Y))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: ((~r1(X,Y)|p1(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&p1(X))))))&((((((pd0_0(X)|(?[Y]: ((r1(X,Y)&(pd0_1(Y)|(~p2(Y)&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((((p4(X)|p3(X))|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))|(?[Y]: ((((((r1(X,Y)&~p4(Y))&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))&(![X]: ((~r1(Y,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))&((((p3(X)|p2(X))|p1(X))|((![Y]: ~r1(X,Y))|$false))|(?[Y]: (((((r1(X,Y)&~p3(Y))&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))&(![X]: ((~r1(Y,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(((~p3(X)&~p2(X))&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))&(((p2(X)|p1(X))|((![Y]: ~r1(X,Y))|$false))|(?[Y]: ((((r1(X,Y)&~p2(Y))&~p1(Y))&((?[X]: r1(Y,X))&$true))&(![X]: ((~r1(Y,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((~p2(X)&~p1(X))&((?[Y]: r1(X,Y))&$true))))))))&((p1(X)|((![Y]: ~r1(X,Y))|$false))|(?[Y]: (((r1(X,Y)&~p1(Y))&((?[X]: r1(Y,X))&$true))&(![X]: ((~r1(Y,X)|(![Y]: ((~r1(X,Y)|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(~p1(X)&((?[Y]: r1(X,Y))&$true))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 2.61/0.73 inference(miniscoping,[status(esa)],[f9])).
% 2.61/0.73 fof(f11,plain,(
% 2.61/0.73 (((((((r1(sk0_0,sk0_1)&~p3(sk0_1))&(![Y]: ((~r1(sk0_0,Y)|p3(Y))|((r1(Y,sk0_2(Y))&(r1(sk0_2(Y),sk0_3(Y))&~p3(sk0_3(Y))))&p3(sk0_2(Y))))))&(r1(sk0_0,sk0_4)&~p2(sk0_4)))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|((r1(Y,sk0_5(Y))&(r1(sk0_5(Y),sk0_6(Y))&~p2(sk0_6(Y))))&p2(sk0_5(Y))))))&(r1(sk0_0,sk0_7)&~p1(sk0_7)))&(![Y]: ((~r1(sk0_0,Y)|p1(Y))|((r1(Y,sk0_8(Y))&(r1(sk0_8(Y),sk0_9(Y))&~p1(sk0_9(Y))))&p1(sk0_8(Y))))))&((((((pd0_0(sk0_0)|((r1(sk0_0,sk0_10)&(pd0_1(sk0_10)|(~p2(sk0_10)&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|((((((r1(sk0_0,sk0_11)&~p4(sk0_11))&~p3(sk0_11))&~p2(sk0_11))&~p1(sk0_11))&(r1(sk0_11,sk0_12)&$true))&(![X]: ((~r1(sk0_11,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(r1(X,sk0_13(X))&$true)))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|(((((r1(sk0_0,sk0_14)&~p3(sk0_14))&~p2(sk0_14))&~p1(sk0_14))&(r1(sk0_14,sk0_15)&$true))&(![X]: ((~r1(sk0_14,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(((~p3(X)&~p2(X))&~p1(X))&(r1(X,sk0_16(X))&$true)))))))&(((p2(sk0_0)|p1(sk0_0))|((![Y]: ~r1(sk0_0,Y))|$false))|((((r1(sk0_0,sk0_17)&~p2(sk0_17))&~p1(sk0_17))&(r1(sk0_17,sk0_18)&$true))&(![X]: ((~r1(sk0_17,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|((![X]: ~r1(Y,X))|$false))))|((~p2(X)&~p1(X))&(r1(X,sk0_19(X))&$true)))))))&((p1(sk0_0)|((![Y]: ~r1(sk0_0,Y))|$false))|(((r1(sk0_0,sk0_20)&~p1(sk0_20))&(r1(sk0_20,sk0_21)&$true))&(![X]: ((~r1(sk0_20,X)|(![Y]: ((~r1(X,Y)|p1(Y))|((![X]: ~r1(Y,X))|$false))))|(~p1(X)&(r1(X,sk0_22(X))&$true)))))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|((r1(Y,sk0_23(Y))&~p2(sk0_23(Y)))&(![Y]: ((~r1(sk0_23(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))),
% 2.61/0.73 inference(skolemization,[status(esa)],[f10])).
% 2.61/0.73 fof(f12,plain,(
% 2.61/0.73 ?[X]: (((((((?[Y]: (r1(sk0_0,sk0_1)&~p3(sk0_1)))&(![Y]: ((~r1(sk0_0,Y)|p3(Y))|(?[X]: ((r1(Y,sk0_2(Y))&(?[Y]: (r1(sk0_2(Y),sk0_3(Y))&~p3(sk0_3(Y)))))&p3(sk0_2(Y)))))))&(?[Y]: (r1(sk0_0,sk0_4)&~p2(sk0_4))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|(?[X]: ((r1(Y,sk0_5(Y))&(?[Y]: (r1(sk0_5(Y),sk0_6(Y))&~p2(sk0_6(Y)))))&p2(sk0_5(Y)))))))&(?[Y]: (r1(sk0_0,sk0_7)&~p1(sk0_7))))&(![Y]: ((~r1(sk0_0,Y)|p1(Y))|(?[X]: ((r1(Y,sk0_8(Y))&(?[Y]: (r1(sk0_8(Y),sk0_9(Y))&~p1(sk0_9(Y)))))&p1(sk0_8(Y)))))))&((((((pd0_0(sk0_0)|(?[Y]: ((r1(sk0_0,sk0_10)&(pd0_1(sk0_10)|(~p2(sk0_10)&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(![X]: ((~r1(sk0_10,X)|(![Y]: (~r1(X,Y)|pd0_2(Y))))|(pd0_3(X)|(~p2(X)&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))))&(((((p4(sk0_0)|p3(sk0_0))|p2(sk0_0))|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: ((((((r1(sk0_0,sk0_11)&~p4(sk0_11))&~p3(sk0_11))&~p2(sk0_11))&~p1(sk0_11))&(?[X]: r1(sk0_11,sk0_12)))&(![X]: ((~r1(sk0_11,X)|(![Y]: (((((~r1(X,Y)|p4(Y))|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|((((~p4(X)&~p3(X))&~p2(X))&~p1(X))&(?[Y]: r1(X,sk0_13(X))))))))))&((((p3(sk0_0)|p2(sk0_0))|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: (((((r1(sk0_0,sk0_14)&~p3(sk0_14))&~p2(sk0_14))&~p1(sk0_14))&(?[X]: r1(sk0_14,sk0_15)))&(![X]: ((~r1(sk0_14,X)|(![Y]: ((((~r1(X,Y)|p3(Y))|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|(((~p3(X)&~p2(X))&~p1(X))&(?[Y]: r1(X,sk0_16(X))))))))))&(((p2(sk0_0)|p1(sk0_0))|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: ((((r1(sk0_0,sk0_17)&~p2(sk0_17))&~p1(sk0_17))&(?[X]: r1(sk0_17,sk0_18)))&(![X]: ((~r1(sk0_17,X)|(![Y]: (((~r1(X,Y)|p2(Y))|p1(Y))|(![X]: ~r1(Y,X)))))|((~p2(X)&~p1(X))&(?[Y]: r1(X,sk0_19(X))))))))))&((p1(sk0_0)|(![Y]: ~r1(sk0_0,Y)))|(?[Y]: (((r1(sk0_0,sk0_20)&~p1(sk0_20))&(?[X]: r1(sk0_20,sk0_21)))&(![X]: ((~r1(sk0_20,X)|(![Y]: ((~r1(X,Y)|p1(Y))|(![X]: ~r1(Y,X)))))|(~p1(X)&(?[Y]: r1(X,sk0_22(X))))))))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|(?[X]: ((r1(Y,sk0_23(Y))&~p2(sk0_23(Y)))&(![Y]: ((~r1(sk0_23(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 2.61/0.73 inference($true_and_$false_simplification,[status(esa)],[f11])).
% 2.61/0.73 fof(f13,plain,(
% 2.61/0.73 r1(sk0_0,sk0_1)),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f14,plain,(
% 2.61/0.73 ~p3(sk0_1)),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f15,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|p3(X0)|r1(X0,sk0_2(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f19,plain,(
% 2.61/0.73 r1(sk0_0,sk0_4)),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f20,plain,(
% 2.61/0.73 ~p2(sk0_4)),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f21,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(X0,sk0_5(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f22,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(sk0_5(X0),sk0_6(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f23,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~p2(sk0_6(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f24,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|p2(X0)|p2(sk0_5(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f25,plain,(
% 2.61/0.73 r1(sk0_0,sk0_7)),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f26,plain,(
% 2.61/0.73 ~p1(sk0_7)),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f27,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|p1(X0)|r1(X0,sk0_8(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f31,plain,(
% 2.61/0.73 pd0_0(sk0_0)|r1(sk0_0,sk0_10)),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f32,plain,(
% 2.61/0.73 pd0_0(sk0_0)|pd0_1(sk0_10)|~p2(sk0_10)),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f33,plain,(
% 2.61/0.73 ![X0,X1]: (pd0_0(sk0_0)|pd0_1(sk0_10)|~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f34,plain,(
% 2.61/0.73 ![X0,X1]: (pd0_0(sk0_0)|~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f35,plain,(
% 2.61/0.73 ![X0,X1,X2,X3]: (pd0_0(sk0_0)|~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~r1(X0,X2)|~r1(X2,X3)|p2(X3)|~p2(X2))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f68,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(X0,sk0_23(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f69,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~p2(sk0_23(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f70,plain,(
% 2.61/0.73 ![X0,X1,X2]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_23(X0),X1)|~r1(X1,X2)|p2(X2)|~p2(X1))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f12])).
% 2.61/0.73 fof(f71,plain,(
% 2.61/0.73 ![X]: (~pd0_0(X)|(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))),
% 2.61/0.73 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 2.61/0.73 fof(f72,plain,(
% 2.61/0.73 ![X,Y]: (pd0_4(Y,X)=>((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))),
% 2.61/0.73 introduced(predicate_definition,[f71])).
% 2.61/0.73 fof(f73,plain,(
% 2.61/0.73 ![X]: (~pd0_0(X)|(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: pd0_4(Y,X))))))|(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X))))))&(p2(X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y))))))),
% 2.61/0.73 inference(formula_renaming,[status(thm)],[f71,f72])).
% 2.61/0.73 fof(f74,plain,(
% 2.61/0.73 ![X]: (~pd0_0(X)|(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|pd0_4(sk0_24(X,Y,X),X)))))|((r1(X,sk0_25(X))&~p2(sk0_25(X)))&(![X]: ((~r1(sk0_25(X),X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))&(p2(X)|((r1(X,sk0_26(X))&(r1(sk0_26(X),sk0_27(X))&~p2(sk0_27(X))))&p2(sk0_26(X))))))),
% 2.61/0.73 inference(skolemization,[status(esa)],[f73])).
% 2.61/0.73 fof(f75,plain,(
% 2.61/0.73 ![X0,X1,X2]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_24(X2,X1,X0),X2)|r1(X0,sk0_25(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f74])).
% 2.61/0.73 fof(f76,plain,(
% 2.61/0.73 ![X0,X1,X2]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_24(X2,X1,X0),X2)|~p2(sk0_25(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f74])).
% 2.61/0.73 fof(f77,plain,(
% 2.61/0.73 ![X0,X1,X2,X3,X4]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_24(X2,X1,X0),X2)|~r1(sk0_25(X0),X3)|~r1(X3,X4)|p2(X4)|~p2(X3))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f74])).
% 2.61/0.73 fof(f82,plain,(
% 2.61/0.73 ![Y]: (~pd0_1(Y)|((?[X]: (r1(Y,X)&(?[Y]: ((r1(X,Y)&~p2(Y))&(![X]: ((~r1(Y,X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))))&(![X]: ((~r1(Y,X)|p2(X))|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))))))),
% 2.61/0.73 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 2.61/0.73 fof(f83,plain,(
% 2.61/0.73 ![Y]: (~pd0_1(Y)|((r1(Y,sk0_28(Y))&((r1(sk0_28(Y),sk0_29(Y))&~p2(sk0_29(Y)))&(![X]: ((~r1(sk0_29(Y),X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))&(![X]: ((~r1(Y,X)|p2(X))|((r1(X,sk0_30(X,Y))&(r1(sk0_30(X,Y),sk0_31(X,Y))&~p2(sk0_31(X,Y))))&p2(sk0_30(X,Y)))))))),
% 2.61/0.73 inference(skolemization,[status(esa)],[f82])).
% 2.61/0.73 fof(f84,plain,(
% 2.61/0.73 ![X0]: (~pd0_1(X0)|r1(X0,sk0_28(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f83])).
% 2.61/0.73 fof(f85,plain,(
% 2.61/0.73 ![X0]: (~pd0_1(X0)|r1(sk0_28(X0),sk0_29(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f83])).
% 2.61/0.73 fof(f86,plain,(
% 2.61/0.73 ![X0]: (~pd0_1(X0)|~p2(sk0_29(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f83])).
% 2.61/0.73 fof(f87,plain,(
% 2.61/0.73 ![X0,X1,X2]: (~pd0_1(X0)|~r1(sk0_29(X0),X1)|~r1(X1,X2)|p2(X2)|~p2(X1))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f83])).
% 2.61/0.73 fof(f88,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|r1(X1,sk0_30(X1,X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f83])).
% 2.61/0.73 fof(f89,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|r1(sk0_30(X1,X0),sk0_31(X1,X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f83])).
% 2.61/0.73 fof(f90,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|~p2(sk0_31(X1,X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f83])).
% 2.61/0.73 fof(f91,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|p2(sk0_30(X1,X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f83])).
% 2.61/0.73 fof(f92,plain,(
% 2.61/0.73 ![Y]: (~pd0_2(Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))),
% 2.61/0.73 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 2.61/0.73 fof(f93,plain,(
% 2.61/0.73 ![Y,X]: (pd0_5(X,Y)=>((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))),
% 2.61/0.73 introduced(predicate_definition,[f92])).
% 2.61/0.73 fof(f94,plain,(
% 2.61/0.73 ![Y]: (~pd0_2(Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: pd0_5(X,Y))))))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))&(p2(Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X))))))),
% 2.61/0.73 inference(formula_renaming,[status(thm)],[f92,f93])).
% 2.61/0.73 fof(f95,plain,(
% 2.61/0.73 ![Y]: (~pd0_2(Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|pd0_5(sk0_32(Y,X,Y),Y)))))|((r1(Y,sk0_33(Y))&~p2(sk0_33(Y)))&(![Y]: ((~r1(sk0_33(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))&(p2(Y)|((r1(Y,sk0_34(Y))&(r1(sk0_34(Y),sk0_35(Y))&~p2(sk0_35(Y))))&p2(sk0_34(Y))))))),
% 2.61/0.73 inference(skolemization,[status(esa)],[f94])).
% 2.61/0.73 fof(f99,plain,(
% 2.61/0.73 ![X0]: (~pd0_2(X0)|p2(X0)|r1(X0,sk0_34(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f95])).
% 2.61/0.73 fof(f100,plain,(
% 2.61/0.73 ![X0]: (~pd0_2(X0)|p2(X0)|r1(sk0_34(X0),sk0_35(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f95])).
% 2.61/0.73 fof(f101,plain,(
% 2.61/0.73 ![X0]: (~pd0_2(X0)|p2(X0)|~p2(sk0_35(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f95])).
% 2.61/0.73 fof(f102,plain,(
% 2.61/0.73 ![X0]: (~pd0_2(X0)|p2(X0)|p2(sk0_34(X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f95])).
% 2.61/0.73 fof(f103,plain,(
% 2.61/0.73 ![X]: (~pd0_3(X)|((?[Y]: (r1(X,Y)&(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))))))),
% 2.61/0.73 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.61/0.73 fof(f104,plain,(
% 2.61/0.73 ![X]: (~pd0_3(X)|((r1(X,sk0_36(X))&((r1(sk0_36(X),sk0_37(X))&~p2(sk0_37(X)))&(![Y]: ((~r1(sk0_37(X),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))&(![Y]: ((~r1(X,Y)|p2(Y))|((r1(Y,sk0_38(Y,X))&(r1(sk0_38(Y,X),sk0_39(Y,X))&~p2(sk0_39(Y,X))))&p2(sk0_38(Y,X)))))))),
% 2.61/0.73 inference(skolemization,[status(esa)],[f103])).
% 2.61/0.73 fof(f109,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|r1(X1,sk0_38(X1,X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f104])).
% 2.61/0.73 fof(f110,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|r1(sk0_38(X1,X0),sk0_39(X1,X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f104])).
% 2.61/0.73 fof(f111,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|~p2(sk0_39(X1,X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f104])).
% 2.61/0.73 fof(f112,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|p2(sk0_38(X1,X0)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f104])).
% 2.61/0.73 fof(f113,plain,(
% 2.61/0.73 ![X,Y]: (~pd0_4(Y,X)|((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))),
% 2.61/0.73 inference(pre_NNF_transformation,[status(esa)],[f72])).
% 2.61/0.73 fof(f114,plain,(
% 2.61/0.73 ![X,Y]: (~pd0_4(Y,X)|((r1(X,Y)&(r1(Y,sk0_40(Y,X))&~p2(sk0_40(Y,X))))&p2(Y)))),
% 2.61/0.73 inference(skolemization,[status(esa)],[f113])).
% 2.61/0.73 fof(f115,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_4(X0,X1)|r1(X1,X0))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f114])).
% 2.61/0.73 fof(f116,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_4(X0,X1)|r1(X0,sk0_40(X0,X1)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f114])).
% 2.61/0.73 fof(f117,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_4(X0,X1)|~p2(sk0_40(X0,X1)))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f114])).
% 2.61/0.73 fof(f118,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_4(X0,X1)|p2(X0))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f114])).
% 2.61/0.73 fof(f119,plain,(
% 2.61/0.73 ![Y,X]: (~pd0_5(X,Y)|((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))),
% 2.61/0.73 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 2.61/0.73 fof(f120,plain,(
% 2.61/0.73 ![Y,X]: (~pd0_5(X,Y)|((r1(Y,X)&(r1(X,sk0_41(X,Y))&~p2(sk0_41(X,Y))))&p2(X)))),
% 2.61/0.73 inference(skolemization,[status(esa)],[f119])).
% 2.61/0.73 fof(f124,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_5(X0,X1)|p2(X0))),
% 2.61/0.73 inference(cnf_transformation,[status(esa)],[f120])).
% 2.61/0.73 fof(f125,plain,(
% 2.61/0.73 spl0_0 <=> pd0_0(sk0_0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f126,plain,(
% 2.61/0.73 pd0_0(sk0_0)|~spl0_0),
% 2.61/0.73 inference(component_clause,[status(thm)],[f125])).
% 2.61/0.73 fof(f128,plain,(
% 2.61/0.73 spl0_1 <=> r1(sk0_0,sk0_10)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f129,plain,(
% 2.61/0.73 r1(sk0_0,sk0_10)|~spl0_1),
% 2.61/0.73 inference(component_clause,[status(thm)],[f128])).
% 2.61/0.73 fof(f131,plain,(
% 2.61/0.73 spl0_0|spl0_1),
% 2.61/0.73 inference(split_clause,[status(thm)],[f31,f125,f128])).
% 2.61/0.73 fof(f132,plain,(
% 2.61/0.73 spl0_2 <=> pd0_1(sk0_10)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f133,plain,(
% 2.61/0.73 pd0_1(sk0_10)|~spl0_2),
% 2.61/0.73 inference(component_clause,[status(thm)],[f132])).
% 2.61/0.73 fof(f135,plain,(
% 2.61/0.73 spl0_3 <=> p2(sk0_10)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f138,plain,(
% 2.61/0.73 spl0_0|spl0_2|~spl0_3),
% 2.61/0.73 inference(split_clause,[status(thm)],[f32,f125,f132,f135])).
% 2.61/0.73 fof(f139,plain,(
% 2.61/0.73 spl0_4 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f140,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_4)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f139])).
% 2.61/0.73 fof(f142,plain,(
% 2.61/0.73 spl0_0|spl0_2|spl0_4),
% 2.61/0.73 inference(split_clause,[status(thm)],[f33,f125,f132,f139])).
% 2.61/0.73 fof(f143,plain,(
% 2.61/0.73 spl0_5 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f144,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0)|~spl0_5)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f143])).
% 2.61/0.73 fof(f146,plain,(
% 2.61/0.73 spl0_0|spl0_5),
% 2.61/0.73 inference(split_clause,[status(thm)],[f34,f125,f143])).
% 2.61/0.73 fof(f147,plain,(
% 2.61/0.73 spl0_6 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~r1(X0,X2)|~r1(X2,X3)|p2(X3)|~p2(X2)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f148,plain,(
% 2.61/0.73 ![X0,X1,X2,X3]: (~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~r1(X0,X2)|~r1(X2,X3)|p2(X3)|~p2(X2)|~spl0_6)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f147])).
% 2.61/0.73 fof(f150,plain,(
% 2.61/0.73 spl0_0|spl0_6),
% 2.61/0.73 inference(split_clause,[status(thm)],[f35,f125,f147])).
% 2.61/0.73 fof(f163,plain,(
% 2.61/0.73 spl0_11 <=> ~r1(sk0_0,X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f164,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_0,X0)|~spl0_11)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f163])).
% 2.61/0.73 fof(f294,plain,(
% 2.61/0.73 $false|~spl0_11),
% 2.61/0.73 inference(backward_subsumption_resolution,[status(thm)],[f19,f164])).
% 2.61/0.73 fof(f295,plain,(
% 2.61/0.73 ~spl0_11),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f294])).
% 2.61/0.73 fof(f302,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_5(sk0_6(X0),X1))),
% 2.61/0.73 inference(resolution,[status(thm)],[f23,f124])).
% 2.61/0.73 fof(f303,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_4(sk0_6(X0),X1))),
% 2.61/0.73 inference(resolution,[status(thm)],[f23,f118])).
% 2.61/0.73 fof(f304,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_5(sk0_23(X0),X1))),
% 2.61/0.73 inference(resolution,[status(thm)],[f69,f124])).
% 2.61/0.73 fof(f305,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_4(sk0_23(X0),X1))),
% 2.61/0.73 inference(resolution,[status(thm)],[f69,f118])).
% 2.61/0.73 fof(f311,plain,(
% 2.61/0.73 spl0_45 <=> p3(sk0_1)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f312,plain,(
% 2.61/0.73 p3(sk0_1)|~spl0_45),
% 2.61/0.73 inference(component_clause,[status(thm)],[f311])).
% 2.61/0.73 fof(f314,plain,(
% 2.61/0.73 spl0_46 <=> r1(sk0_1,sk0_2(sk0_1))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f317,plain,(
% 2.61/0.73 p3(sk0_1)|r1(sk0_1,sk0_2(sk0_1))),
% 2.61/0.73 inference(resolution,[status(thm)],[f15,f13])).
% 2.61/0.73 fof(f318,plain,(
% 2.61/0.73 spl0_45|spl0_46),
% 2.61/0.73 inference(split_clause,[status(thm)],[f317,f311,f314])).
% 2.61/0.73 fof(f335,plain,(
% 2.61/0.73 $false|~spl0_45),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f312,f14])).
% 2.61/0.73 fof(f336,plain,(
% 2.61/0.73 ~spl0_45),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f335])).
% 2.61/0.73 fof(f345,plain,(
% 2.61/0.73 spl0_53 <=> p2(sk0_4)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f346,plain,(
% 2.61/0.73 p2(sk0_4)|~spl0_53),
% 2.61/0.73 inference(component_clause,[status(thm)],[f345])).
% 2.61/0.73 fof(f348,plain,(
% 2.61/0.73 spl0_54 <=> r1(sk0_4,sk0_5(sk0_4))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f351,plain,(
% 2.61/0.73 p2(sk0_4)|r1(sk0_4,sk0_5(sk0_4))),
% 2.61/0.73 inference(resolution,[status(thm)],[f21,f19])).
% 2.61/0.73 fof(f352,plain,(
% 2.61/0.73 spl0_53|spl0_54),
% 2.61/0.73 inference(split_clause,[status(thm)],[f351,f345,f348])).
% 2.61/0.73 fof(f361,plain,(
% 2.61/0.73 $false|~spl0_53),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f346,f20])).
% 2.61/0.73 fof(f362,plain,(
% 2.61/0.73 ~spl0_53),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f361])).
% 2.61/0.73 fof(f379,plain,(
% 2.61/0.73 spl0_61 <=> p1(sk0_7)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f380,plain,(
% 2.61/0.73 p1(sk0_7)|~spl0_61),
% 2.61/0.73 inference(component_clause,[status(thm)],[f379])).
% 2.61/0.73 fof(f382,plain,(
% 2.61/0.73 spl0_62 <=> r1(sk0_7,sk0_8(sk0_7))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f385,plain,(
% 2.61/0.73 p1(sk0_7)|r1(sk0_7,sk0_8(sk0_7))),
% 2.61/0.73 inference(resolution,[status(thm)],[f27,f25])).
% 2.61/0.73 fof(f386,plain,(
% 2.61/0.73 spl0_61|spl0_62),
% 2.61/0.73 inference(split_clause,[status(thm)],[f385,f379,f382])).
% 2.61/0.73 fof(f387,plain,(
% 2.61/0.73 $false|~spl0_61),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f380,f26])).
% 2.61/0.73 fof(f388,plain,(
% 2.61/0.73 ~spl0_61),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f387])).
% 2.61/0.73 fof(f394,plain,(
% 2.61/0.73 spl0_64 <=> r1(sk0_4,sk0_23(sk0_4))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f395,plain,(
% 2.61/0.73 r1(sk0_4,sk0_23(sk0_4))|~spl0_64),
% 2.61/0.73 inference(component_clause,[status(thm)],[f394])).
% 2.61/0.73 fof(f397,plain,(
% 2.61/0.73 p2(sk0_4)|r1(sk0_4,sk0_23(sk0_4))),
% 2.61/0.73 inference(resolution,[status(thm)],[f68,f19])).
% 2.61/0.73 fof(f398,plain,(
% 2.61/0.73 spl0_53|spl0_64),
% 2.61/0.73 inference(split_clause,[status(thm)],[f397,f345,f394])).
% 2.61/0.73 fof(f409,plain,(
% 2.61/0.73 spl0_67 <=> ~r1(sk0_23(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f410,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_23(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_67)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f409])).
% 2.61/0.73 fof(f412,plain,(
% 2.61/0.73 ![X0,X1]: (p2(sk0_4)|~r1(sk0_23(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0))),
% 2.61/0.73 inference(resolution,[status(thm)],[f70,f19])).
% 2.61/0.73 fof(f413,plain,(
% 2.61/0.73 spl0_53|spl0_67),
% 2.61/0.73 inference(split_clause,[status(thm)],[f412,f345,f409])).
% 2.61/0.73 fof(f419,plain,(
% 2.61/0.73 spl0_69 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_24(X1,X0,sk0_0),X1)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f420,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_24(X1,X0,sk0_0),X1)|~spl0_69)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f419])).
% 2.61/0.73 fof(f422,plain,(
% 2.61/0.73 spl0_70 <=> r1(sk0_0,sk0_25(sk0_0))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f423,plain,(
% 2.61/0.73 r1(sk0_0,sk0_25(sk0_0))|~spl0_70),
% 2.61/0.73 inference(component_clause,[status(thm)],[f422])).
% 2.61/0.73 fof(f425,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_24(X1,X0,sk0_0),X1)|r1(sk0_0,sk0_25(sk0_0))|~spl0_0)),
% 2.61/0.73 inference(resolution,[status(thm)],[f75,f126])).
% 2.61/0.73 fof(f426,plain,(
% 2.61/0.73 spl0_69|spl0_70|~spl0_0),
% 2.61/0.73 inference(split_clause,[status(thm)],[f425,f419,f422,f125])).
% 2.61/0.73 fof(f429,plain,(
% 2.61/0.73 spl0_71 <=> ~r1(sk0_25(sk0_0),X2)|~r1(X2,X3)|p2(X3)|~p2(X2)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f430,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_25(sk0_0),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_71)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f429])).
% 2.61/0.73 fof(f432,plain,(
% 2.61/0.73 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_24(X1,X0,sk0_0),X1)|~r1(sk0_25(sk0_0),X2)|~r1(X2,X3)|p2(X3)|~p2(X2)|~spl0_0)),
% 2.61/0.73 inference(resolution,[status(thm)],[f77,f126])).
% 2.61/0.73 fof(f433,plain,(
% 2.61/0.73 spl0_69|spl0_71|~spl0_0),
% 2.61/0.73 inference(split_clause,[status(thm)],[f432,f419,f429,f125])).
% 2.61/0.73 fof(f435,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_4,X0)|p2(X0)|pd0_4(sk0_24(X0,sk0_4,sk0_0),X0)|~spl0_69)),
% 2.61/0.73 inference(resolution,[status(thm)],[f420,f19])).
% 2.61/0.73 fof(f457,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_10,X0)|p2(X0)|r1(X0,sk0_30(X0,sk0_10))|~spl0_2)),
% 2.61/0.73 inference(resolution,[status(thm)],[f133,f88])).
% 2.61/0.73 fof(f458,plain,(
% 2.61/0.73 r1(sk0_10,sk0_28(sk0_10))|~spl0_2),
% 2.61/0.73 inference(resolution,[status(thm)],[f133,f84])).
% 2.61/0.73 fof(f461,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_29(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_2)),
% 2.61/0.73 inference(resolution,[status(thm)],[f87,f133])).
% 2.61/0.73 fof(f469,plain,(
% 2.61/0.73 spl0_74 <=> ~r1(sk0_23(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f470,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_23(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_74)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f469])).
% 2.61/0.73 fof(f472,plain,(
% 2.61/0.73 ![X0,X1]: (p2(sk0_10)|~r1(sk0_23(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_1)),
% 2.61/0.73 inference(resolution,[status(thm)],[f129,f70])).
% 2.61/0.73 fof(f473,plain,(
% 2.61/0.73 spl0_3|spl0_74|~spl0_1),
% 2.61/0.73 inference(split_clause,[status(thm)],[f472,f135,f469,f128])).
% 2.61/0.73 fof(f474,plain,(
% 2.61/0.73 spl0_75 <=> r1(sk0_10,sk0_23(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f475,plain,(
% 2.61/0.73 r1(sk0_10,sk0_23(sk0_10))|~spl0_75),
% 2.61/0.73 inference(component_clause,[status(thm)],[f474])).
% 2.61/0.73 fof(f477,plain,(
% 2.61/0.73 p2(sk0_10)|r1(sk0_10,sk0_23(sk0_10))|~spl0_1),
% 2.61/0.73 inference(resolution,[status(thm)],[f129,f68])).
% 2.61/0.73 fof(f478,plain,(
% 2.61/0.73 spl0_3|spl0_75|~spl0_1),
% 2.61/0.73 inference(split_clause,[status(thm)],[f477,f135,f474,f128])).
% 2.61/0.73 fof(f487,plain,(
% 2.61/0.73 spl0_78 <=> r1(sk0_10,sk0_5(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f488,plain,(
% 2.61/0.73 r1(sk0_10,sk0_5(sk0_10))|~spl0_78),
% 2.61/0.73 inference(component_clause,[status(thm)],[f487])).
% 2.61/0.73 fof(f490,plain,(
% 2.61/0.73 p2(sk0_10)|r1(sk0_10,sk0_5(sk0_10))|~spl0_1),
% 2.61/0.73 inference(resolution,[status(thm)],[f129,f21])).
% 2.61/0.73 fof(f491,plain,(
% 2.61/0.73 spl0_3|spl0_78|~spl0_1),
% 2.61/0.73 inference(split_clause,[status(thm)],[f490,f135,f487,f128])).
% 2.61/0.73 fof(f508,plain,(
% 2.61/0.73 spl0_83 <=> p2(sk0_28(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f511,plain,(
% 2.61/0.73 spl0_84 <=> r1(sk0_28(sk0_10),sk0_30(sk0_28(sk0_10),sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f512,plain,(
% 2.61/0.73 r1(sk0_28(sk0_10),sk0_30(sk0_28(sk0_10),sk0_10))|~spl0_84),
% 2.61/0.73 inference(component_clause,[status(thm)],[f511])).
% 2.61/0.73 fof(f514,plain,(
% 2.61/0.73 p2(sk0_28(sk0_10))|r1(sk0_28(sk0_10),sk0_30(sk0_28(sk0_10),sk0_10))|~spl0_2),
% 2.61/0.73 inference(resolution,[status(thm)],[f458,f457])).
% 2.61/0.73 fof(f515,plain,(
% 2.61/0.73 spl0_83|spl0_84|~spl0_2),
% 2.61/0.73 inference(split_clause,[status(thm)],[f514,f508,f511,f132])).
% 2.61/0.73 fof(f516,plain,(
% 2.61/0.73 spl0_85 <=> ~r1(sk0_28(sk0_10),X0)|pd0_2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f517,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_28(sk0_10),X0)|pd0_2(X0)|~spl0_85)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f516])).
% 2.61/0.73 fof(f519,plain,(
% 2.61/0.73 spl0_86 <=> pd0_3(sk0_28(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f520,plain,(
% 2.61/0.73 pd0_3(sk0_28(sk0_10))|~spl0_86),
% 2.61/0.73 inference(component_clause,[status(thm)],[f519])).
% 2.61/0.73 fof(f522,plain,(
% 2.61/0.73 spl0_87 <=> ~r1(sk0_28(sk0_10),X1)|~r1(X1,X2)|p2(X2)|~p2(X1)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f523,plain,(
% 2.61/0.73 ![X0,X1]: (~r1(sk0_28(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_87)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f522])).
% 2.61/0.73 fof(f525,plain,(
% 2.61/0.73 ![X0,X1,X2]: (~r1(sk0_28(sk0_10),X0)|pd0_2(X0)|pd0_3(sk0_28(sk0_10))|~r1(sk0_28(sk0_10),X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~spl0_2|~spl0_6)),
% 2.61/0.73 inference(resolution,[status(thm)],[f458,f148])).
% 2.61/0.73 fof(f526,plain,(
% 2.61/0.73 spl0_85|spl0_86|spl0_87|~spl0_2|~spl0_6),
% 2.61/0.73 inference(split_clause,[status(thm)],[f525,f516,f519,f522,f132,f147])).
% 2.61/0.73 fof(f527,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_28(sk0_10),X0)|pd0_2(X0)|pd0_3(sk0_28(sk0_10))|~p2(sk0_28(sk0_10))|~spl0_2|~spl0_5)),
% 2.61/0.73 inference(resolution,[status(thm)],[f458,f144])).
% 2.61/0.73 fof(f528,plain,(
% 2.61/0.73 spl0_85|spl0_86|~spl0_83|~spl0_2|~spl0_5),
% 2.61/0.73 inference(split_clause,[status(thm)],[f527,f516,f519,f508,f132,f143])).
% 2.61/0.73 fof(f531,plain,(
% 2.61/0.73 spl0_88 <=> p2(sk0_23(sk0_4))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f532,plain,(
% 2.61/0.73 p2(sk0_23(sk0_4))|~spl0_88),
% 2.61/0.73 inference(component_clause,[status(thm)],[f531])).
% 2.61/0.73 fof(f534,plain,(
% 2.61/0.73 spl0_89 <=> pd0_4(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),sk0_23(sk0_4))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f535,plain,(
% 2.61/0.73 pd0_4(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),sk0_23(sk0_4))|~spl0_89),
% 2.61/0.73 inference(component_clause,[status(thm)],[f534])).
% 2.61/0.73 fof(f537,plain,(
% 2.61/0.73 p2(sk0_23(sk0_4))|pd0_4(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),sk0_23(sk0_4))|~spl0_69|~spl0_64),
% 2.61/0.73 inference(resolution,[status(thm)],[f435,f395])).
% 2.61/0.73 fof(f538,plain,(
% 2.61/0.73 spl0_88|spl0_89|~spl0_69|~spl0_64),
% 2.61/0.73 inference(split_clause,[status(thm)],[f537,f531,f534,f419,f394])).
% 2.61/0.73 fof(f566,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_28(sk0_10),X0)|p2(X0)|r1(X0,sk0_38(X0,sk0_28(sk0_10)))|~spl0_86)),
% 2.61/0.73 inference(resolution,[status(thm)],[f520,f109])).
% 2.61/0.73 fof(f568,plain,(
% 2.61/0.73 spl0_94 <=> p2(sk0_29(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f569,plain,(
% 2.61/0.73 p2(sk0_29(sk0_10))|~spl0_94),
% 2.61/0.73 inference(component_clause,[status(thm)],[f568])).
% 2.61/0.73 fof(f571,plain,(
% 2.61/0.73 spl0_95 <=> r1(sk0_29(sk0_10),sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f572,plain,(
% 2.61/0.73 r1(sk0_29(sk0_10),sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)))|~spl0_95),
% 2.61/0.73 inference(component_clause,[status(thm)],[f571])).
% 2.61/0.73 fof(f574,plain,(
% 2.61/0.73 p2(sk0_29(sk0_10))|r1(sk0_29(sk0_10),sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)))|~pd0_1(sk0_10)|~spl0_86),
% 2.61/0.73 inference(resolution,[status(thm)],[f566,f85])).
% 2.61/0.73 fof(f575,plain,(
% 2.61/0.73 spl0_94|spl0_95|~spl0_2|~spl0_86),
% 2.61/0.73 inference(split_clause,[status(thm)],[f574,f568,f571,f132,f519])).
% 2.61/0.73 fof(f576,plain,(
% 2.61/0.73 spl0_96 <=> r1(sk0_0,sk0_4)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f578,plain,(
% 2.61/0.73 ~r1(sk0_0,sk0_4)|spl0_96),
% 2.61/0.73 inference(component_clause,[status(thm)],[f576])).
% 2.61/0.73 fof(f579,plain,(
% 2.61/0.73 ~r1(sk0_0,sk0_4)|p2(sk0_4)|~spl0_88),
% 2.61/0.73 inference(resolution,[status(thm)],[f532,f69])).
% 2.61/0.73 fof(f580,plain,(
% 2.61/0.73 ~spl0_96|spl0_53|~spl0_88),
% 2.61/0.73 inference(split_clause,[status(thm)],[f579,f576,f345,f531])).
% 2.61/0.73 fof(f581,plain,(
% 2.61/0.73 $false|spl0_96),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f578,f19])).
% 2.61/0.73 fof(f582,plain,(
% 2.61/0.73 spl0_96),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f581])).
% 2.61/0.73 fof(f583,plain,(
% 2.61/0.73 ~pd0_1(sk0_10)|~spl0_94),
% 2.61/0.73 inference(resolution,[status(thm)],[f569,f86])).
% 2.61/0.73 fof(f584,plain,(
% 2.61/0.73 $false|~spl0_2|~spl0_94),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f583,f133])).
% 2.61/0.73 fof(f585,plain,(
% 2.61/0.73 ~spl0_2|~spl0_94),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f584])).
% 2.61/0.73 fof(f590,plain,(
% 2.61/0.73 spl0_97 <=> p2(sk0_25(sk0_0))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f591,plain,(
% 2.61/0.73 p2(sk0_25(sk0_0))|~spl0_97),
% 2.61/0.73 inference(component_clause,[status(thm)],[f590])).
% 2.61/0.73 fof(f611,plain,(
% 2.61/0.73 spl0_102 <=> r1(sk0_25(sk0_0),sk0_5(sk0_25(sk0_0)))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f612,plain,(
% 2.61/0.73 r1(sk0_25(sk0_0),sk0_5(sk0_25(sk0_0)))|~spl0_102),
% 2.61/0.73 inference(component_clause,[status(thm)],[f611])).
% 2.61/0.73 fof(f614,plain,(
% 2.61/0.73 p2(sk0_25(sk0_0))|r1(sk0_25(sk0_0),sk0_5(sk0_25(sk0_0)))|~spl0_70),
% 2.61/0.73 inference(resolution,[status(thm)],[f423,f21])).
% 2.61/0.73 fof(f615,plain,(
% 2.61/0.73 spl0_97|spl0_102|~spl0_70),
% 2.61/0.73 inference(split_clause,[status(thm)],[f614,f590,f611,f422])).
% 2.61/0.73 fof(f624,plain,(
% 2.61/0.73 ![X0,X1]: (~pd0_0(sk0_0)|~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_24(X1,X0,sk0_0),X1)|~spl0_97)),
% 2.61/0.73 inference(resolution,[status(thm)],[f591,f76])).
% 2.61/0.73 fof(f625,plain,(
% 2.61/0.73 ~spl0_0|spl0_69|~spl0_97),
% 2.61/0.73 inference(split_clause,[status(thm)],[f624,f125,f419,f590])).
% 2.61/0.73 fof(f642,plain,(
% 2.61/0.73 spl0_105 <=> pd0_2(sk0_29(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f643,plain,(
% 2.61/0.73 pd0_2(sk0_29(sk0_10))|~spl0_105),
% 2.61/0.73 inference(component_clause,[status(thm)],[f642])).
% 2.61/0.73 fof(f645,plain,(
% 2.61/0.73 pd0_2(sk0_29(sk0_10))|~pd0_1(sk0_10)|~spl0_85),
% 2.61/0.73 inference(resolution,[status(thm)],[f517,f85])).
% 2.61/0.73 fof(f646,plain,(
% 2.61/0.73 spl0_105|~spl0_2|~spl0_85),
% 2.61/0.73 inference(split_clause,[status(thm)],[f645,f642,f132,f516])).
% 2.61/0.73 fof(f685,plain,(
% 2.61/0.73 spl0_108 <=> ~pd0_5(sk0_6(sk0_4),X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f688,plain,(
% 2.61/0.73 ![X0]: (p2(sk0_4)|~pd0_5(sk0_6(sk0_4),X0))),
% 2.61/0.73 inference(resolution,[status(thm)],[f302,f19])).
% 2.61/0.73 fof(f689,plain,(
% 2.61/0.73 spl0_53|spl0_108),
% 2.61/0.73 inference(split_clause,[status(thm)],[f688,f345,f685])).
% 2.61/0.73 fof(f709,plain,(
% 2.61/0.73 spl0_112 <=> ~pd0_4(sk0_6(sk0_4),X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f712,plain,(
% 2.61/0.73 ![X0]: (p2(sk0_4)|~pd0_4(sk0_6(sk0_4),X0))),
% 2.61/0.73 inference(resolution,[status(thm)],[f303,f19])).
% 2.61/0.73 fof(f713,plain,(
% 2.61/0.73 spl0_53|spl0_112),
% 2.61/0.73 inference(split_clause,[status(thm)],[f712,f345,f709])).
% 2.61/0.73 fof(f733,plain,(
% 2.61/0.73 spl0_116 <=> ~pd0_5(sk0_23(sk0_4),X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f736,plain,(
% 2.61/0.73 ![X0]: (p2(sk0_4)|~pd0_5(sk0_23(sk0_4),X0))),
% 2.61/0.73 inference(resolution,[status(thm)],[f304,f19])).
% 2.61/0.73 fof(f737,plain,(
% 2.61/0.73 spl0_53|spl0_116),
% 2.61/0.73 inference(split_clause,[status(thm)],[f736,f345,f733])).
% 2.61/0.73 fof(f770,plain,(
% 2.61/0.73 spl0_123 <=> r1(sk0_29(sk0_10),sk0_34(sk0_29(sk0_10)))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f771,plain,(
% 2.61/0.73 r1(sk0_29(sk0_10),sk0_34(sk0_29(sk0_10)))|~spl0_123),
% 2.61/0.73 inference(component_clause,[status(thm)],[f770])).
% 2.61/0.73 fof(f773,plain,(
% 2.61/0.73 p2(sk0_29(sk0_10))|r1(sk0_29(sk0_10),sk0_34(sk0_29(sk0_10)))|~spl0_105),
% 2.61/0.73 inference(resolution,[status(thm)],[f643,f99])).
% 2.61/0.73 fof(f774,plain,(
% 2.61/0.73 spl0_94|spl0_123|~spl0_105),
% 2.61/0.73 inference(split_clause,[status(thm)],[f773,f568,f770,f642])).
% 2.61/0.73 fof(f785,plain,(
% 2.61/0.73 spl0_126 <=> ~pd0_4(sk0_23(sk0_4),X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f788,plain,(
% 2.61/0.73 ![X0]: (p2(sk0_4)|~pd0_4(sk0_23(sk0_4),X0))),
% 2.61/0.73 inference(resolution,[status(thm)],[f305,f19])).
% 2.61/0.73 fof(f789,plain,(
% 2.61/0.73 spl0_53|spl0_126),
% 2.61/0.73 inference(split_clause,[status(thm)],[f788,f345,f785])).
% 2.61/0.73 fof(f819,plain,(
% 2.61/0.73 spl0_132 <=> p2(sk0_5(sk0_25(sk0_0)))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f821,plain,(
% 2.61/0.73 ~p2(sk0_5(sk0_25(sk0_0)))|spl0_132),
% 2.61/0.73 inference(component_clause,[status(thm)],[f819])).
% 2.61/0.73 fof(f888,plain,(
% 2.61/0.73 spl0_147 <=> p2(sk0_23(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f889,plain,(
% 2.61/0.73 p2(sk0_23(sk0_10))|~spl0_147),
% 2.61/0.73 inference(component_clause,[status(thm)],[f888])).
% 2.61/0.73 fof(f891,plain,(
% 2.61/0.73 spl0_148 <=> r1(sk0_23(sk0_10),sk0_30(sk0_23(sk0_10),sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f892,plain,(
% 2.61/0.73 r1(sk0_23(sk0_10),sk0_30(sk0_23(sk0_10),sk0_10))|~spl0_148),
% 2.61/0.73 inference(component_clause,[status(thm)],[f891])).
% 2.61/0.73 fof(f894,plain,(
% 2.61/0.73 p2(sk0_23(sk0_10))|r1(sk0_23(sk0_10),sk0_30(sk0_23(sk0_10),sk0_10))|~spl0_2|~spl0_75),
% 2.61/0.73 inference(resolution,[status(thm)],[f457,f475])).
% 2.61/0.73 fof(f895,plain,(
% 2.61/0.73 spl0_147|spl0_148|~spl0_2|~spl0_75),
% 2.61/0.73 inference(split_clause,[status(thm)],[f894,f888,f891,f132,f474])).
% 2.61/0.73 fof(f904,plain,(
% 2.61/0.73 spl0_151 <=> p2(sk0_5(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f906,plain,(
% 2.61/0.73 ~p2(sk0_5(sk0_10))|spl0_151),
% 2.61/0.73 inference(component_clause,[status(thm)],[f904])).
% 2.61/0.73 fof(f1223,plain,(
% 2.61/0.73 ~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_147),
% 2.61/0.73 inference(resolution,[status(thm)],[f889,f69])).
% 2.61/0.73 fof(f1224,plain,(
% 2.61/0.73 ~spl0_1|spl0_3|~spl0_147),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1223,f128,f135,f888])).
% 2.61/0.73 fof(f1279,plain,(
% 2.61/0.73 spl0_214 <=> ~r1(sk0_28(sk0_10),X0)|p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1280,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_28(sk0_10),X0)|p2(X0)|~spl0_214)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1279])).
% 2.61/0.73 fof(f1362,plain,(
% 2.61/0.73 p2(sk0_29(sk0_10))|~pd0_1(sk0_10)|~spl0_214),
% 2.61/0.73 inference(resolution,[status(thm)],[f1280,f85])).
% 2.61/0.73 fof(f1363,plain,(
% 2.61/0.73 spl0_94|~spl0_2|~spl0_214),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1362,f568,f132,f1279])).
% 2.61/0.73 fof(f1387,plain,(
% 2.61/0.73 spl0_231 <=> p2(sk0_35(sk0_29(sk0_10)))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1388,plain,(
% 2.61/0.73 p2(sk0_35(sk0_29(sk0_10)))|~spl0_231),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1387])).
% 2.61/0.73 fof(f1399,plain,(
% 2.61/0.73 ~pd0_2(sk0_29(sk0_10))|p2(sk0_29(sk0_10))|~spl0_231),
% 2.61/0.73 inference(resolution,[status(thm)],[f1388,f101])).
% 2.61/0.73 fof(f1400,plain,(
% 2.61/0.73 ~spl0_105|spl0_94|~spl0_231),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1399,f642,f568,f1387])).
% 2.61/0.73 fof(f1428,plain,(
% 2.61/0.73 spl0_238 <=> ~r1(sk0_30(sk0_23(sk0_10),sk0_10),X0)|p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1429,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_30(sk0_23(sk0_10),sk0_10),X0)|p2(X0)|~spl0_238)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1428])).
% 2.61/0.73 fof(f1431,plain,(
% 2.61/0.73 spl0_239 <=> p2(sk0_30(sk0_23(sk0_10),sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1433,plain,(
% 2.61/0.73 ~p2(sk0_30(sk0_23(sk0_10),sk0_10))|spl0_239),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1431])).
% 2.61/0.73 fof(f1434,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_30(sk0_23(sk0_10),sk0_10),X0)|p2(X0)|~p2(sk0_30(sk0_23(sk0_10),sk0_10))|~spl0_148|~spl0_74)),
% 2.61/0.73 inference(resolution,[status(thm)],[f892,f470])).
% 2.61/0.73 fof(f1435,plain,(
% 2.61/0.73 spl0_238|~spl0_239|~spl0_148|~spl0_74),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1434,f1428,f1431,f891,f469])).
% 2.61/0.73 fof(f1438,plain,(
% 2.61/0.73 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_23(sk0_10))|p2(sk0_23(sk0_10))|spl0_239),
% 2.61/0.73 inference(resolution,[status(thm)],[f1433,f91])).
% 2.61/0.73 fof(f1439,plain,(
% 2.61/0.73 ~spl0_2|~spl0_75|spl0_147|spl0_239),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1438,f132,f474,f888,f1431])).
% 2.61/0.73 fof(f1476,plain,(
% 2.61/0.73 spl0_244 <=> ~r1(sk0_30(sk0_28(sk0_10),sk0_10),X0)|p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1477,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_30(sk0_28(sk0_10),sk0_10),X0)|p2(X0)|~spl0_244)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1476])).
% 2.61/0.73 fof(f1479,plain,(
% 2.61/0.73 spl0_245 <=> p2(sk0_30(sk0_28(sk0_10),sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1481,plain,(
% 2.61/0.73 ~p2(sk0_30(sk0_28(sk0_10),sk0_10))|spl0_245),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1479])).
% 2.61/0.73 fof(f1482,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_30(sk0_28(sk0_10),sk0_10),X0)|p2(X0)|~p2(sk0_30(sk0_28(sk0_10),sk0_10))|~spl0_87|~spl0_84)),
% 2.61/0.73 inference(resolution,[status(thm)],[f523,f512])).
% 2.61/0.73 fof(f1483,plain,(
% 2.61/0.73 spl0_244|~spl0_245|~spl0_87|~spl0_84),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1482,f1476,f1479,f522,f511])).
% 2.61/0.73 fof(f1493,plain,(
% 2.61/0.73 spl0_247 <=> r1(sk0_10,sk0_28(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1495,plain,(
% 2.61/0.73 ~r1(sk0_10,sk0_28(sk0_10))|spl0_247),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1493])).
% 2.61/0.73 fof(f1496,plain,(
% 2.61/0.73 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_28(sk0_10))|p2(sk0_28(sk0_10))|spl0_245),
% 2.61/0.73 inference(resolution,[status(thm)],[f1481,f91])).
% 2.61/0.73 fof(f1497,plain,(
% 2.61/0.73 ~spl0_2|~spl0_247|spl0_83|spl0_245),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1496,f132,f1493,f508,f1479])).
% 2.61/0.73 fof(f1500,plain,(
% 2.61/0.73 $false|~spl0_2|spl0_247),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f1495,f458])).
% 2.61/0.73 fof(f1501,plain,(
% 2.61/0.73 ~spl0_2|spl0_247),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f1500])).
% 2.61/0.73 fof(f1589,plain,(
% 2.61/0.73 spl0_259 <=> p2(sk0_31(sk0_23(sk0_10),sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1590,plain,(
% 2.61/0.73 p2(sk0_31(sk0_23(sk0_10),sk0_10))|~spl0_259),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1589])).
% 2.61/0.73 fof(f1592,plain,(
% 2.61/0.73 p2(sk0_31(sk0_23(sk0_10),sk0_10))|~pd0_1(sk0_10)|~r1(sk0_10,sk0_23(sk0_10))|p2(sk0_23(sk0_10))|~spl0_238),
% 2.61/0.73 inference(resolution,[status(thm)],[f1429,f89])).
% 2.61/0.73 fof(f1593,plain,(
% 2.61/0.73 spl0_259|~spl0_2|~spl0_75|spl0_147|~spl0_238),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1592,f1589,f132,f474,f888,f1428])).
% 2.61/0.73 fof(f1598,plain,(
% 2.61/0.73 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_23(sk0_10))|p2(sk0_23(sk0_10))|~spl0_259),
% 2.61/0.73 inference(resolution,[status(thm)],[f1590,f90])).
% 2.61/0.73 fof(f1599,plain,(
% 2.61/0.73 ~spl0_2|~spl0_75|spl0_147|~spl0_259),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1598,f132,f474,f888,f1589])).
% 2.61/0.73 fof(f1600,plain,(
% 2.61/0.73 spl0_260 <=> p2(sk0_31(sk0_28(sk0_10),sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1601,plain,(
% 2.61/0.73 p2(sk0_31(sk0_28(sk0_10),sk0_10))|~spl0_260),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1600])).
% 2.61/0.73 fof(f1603,plain,(
% 2.61/0.73 p2(sk0_31(sk0_28(sk0_10),sk0_10))|~pd0_1(sk0_10)|~r1(sk0_10,sk0_28(sk0_10))|p2(sk0_28(sk0_10))|~spl0_244),
% 2.61/0.73 inference(resolution,[status(thm)],[f1477,f89])).
% 2.61/0.73 fof(f1604,plain,(
% 2.61/0.73 spl0_260|~spl0_2|~spl0_247|spl0_83|~spl0_244),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1603,f1600,f132,f1493,f508,f1476])).
% 2.61/0.73 fof(f1609,plain,(
% 2.61/0.73 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_28(sk0_10))|p2(sk0_28(sk0_10))|~spl0_260),
% 2.61/0.73 inference(resolution,[status(thm)],[f1601,f90])).
% 2.61/0.73 fof(f1610,plain,(
% 2.61/0.73 ~spl0_2|~spl0_247|spl0_83|~spl0_260),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1609,f132,f1493,f508,f1600])).
% 2.61/0.73 fof(f1612,plain,(
% 2.61/0.73 r1(sk0_23(sk0_4),sk0_24(sk0_23(sk0_4),sk0_4,sk0_0))|~spl0_89),
% 2.61/0.73 inference(resolution,[status(thm)],[f535,f115])).
% 2.61/0.73 fof(f1633,plain,(
% 2.61/0.73 spl0_263 <=> ~r1(sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)),X0)|p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1634,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)),X0)|p2(X0)|~spl0_263)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1633])).
% 2.61/0.73 fof(f1636,plain,(
% 2.61/0.73 spl0_264 <=> p2(sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1638,plain,(
% 2.61/0.73 ~p2(sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)))|spl0_264),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1636])).
% 2.61/0.73 fof(f1639,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)),X0)|p2(X0)|~p2(sk0_38(sk0_29(sk0_10),sk0_28(sk0_10)))|~spl0_2|~spl0_95)),
% 2.61/0.73 inference(resolution,[status(thm)],[f461,f572])).
% 2.61/0.73 fof(f1640,plain,(
% 2.61/0.73 spl0_263|~spl0_264|~spl0_2|~spl0_95),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1639,f1633,f1636,f132,f571])).
% 2.61/0.73 fof(f1643,plain,(
% 2.61/0.73 spl0_265 <=> ~r1(sk0_34(sk0_29(sk0_10)),X0)|p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1644,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_34(sk0_29(sk0_10)),X0)|p2(X0)|~spl0_265)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1643])).
% 2.61/0.73 fof(f1646,plain,(
% 2.61/0.73 spl0_266 <=> p2(sk0_34(sk0_29(sk0_10)))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1648,plain,(
% 2.61/0.73 ~p2(sk0_34(sk0_29(sk0_10)))|spl0_266),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1646])).
% 2.61/0.73 fof(f1649,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_34(sk0_29(sk0_10)),X0)|p2(X0)|~p2(sk0_34(sk0_29(sk0_10)))|~spl0_2|~spl0_123)),
% 2.61/0.73 inference(resolution,[status(thm)],[f461,f771])).
% 2.61/0.73 fof(f1650,plain,(
% 2.61/0.73 spl0_265|~spl0_266|~spl0_2|~spl0_123),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1649,f1643,f1646,f132,f770])).
% 2.61/0.73 fof(f1667,plain,(
% 2.61/0.73 ~pd0_2(sk0_29(sk0_10))|p2(sk0_29(sk0_10))|spl0_266),
% 2.61/0.73 inference(resolution,[status(thm)],[f1648,f102])).
% 2.61/0.73 fof(f1668,plain,(
% 2.61/0.73 ~spl0_105|spl0_94|spl0_266),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1667,f642,f568,f1646])).
% 2.61/0.73 fof(f1671,plain,(
% 2.61/0.73 spl0_267 <=> r1(sk0_28(sk0_10),sk0_29(sk0_10))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1673,plain,(
% 2.61/0.73 ~r1(sk0_28(sk0_10),sk0_29(sk0_10))|spl0_267),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1671])).
% 2.61/0.73 fof(f1674,plain,(
% 2.61/0.73 ~pd0_3(sk0_28(sk0_10))|~r1(sk0_28(sk0_10),sk0_29(sk0_10))|p2(sk0_29(sk0_10))|spl0_264),
% 2.61/0.73 inference(resolution,[status(thm)],[f1638,f112])).
% 2.61/0.73 fof(f1675,plain,(
% 2.61/0.73 ~spl0_86|~spl0_267|spl0_94|spl0_264),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1674,f519,f1671,f568,f1636])).
% 2.61/0.73 fof(f1687,plain,(
% 2.61/0.73 ~pd0_1(sk0_10)|spl0_267),
% 2.61/0.73 inference(resolution,[status(thm)],[f1673,f85])).
% 2.61/0.73 fof(f1688,plain,(
% 2.61/0.73 ~spl0_2|spl0_267),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1687,f132,f1671])).
% 2.61/0.73 fof(f1713,plain,(
% 2.61/0.73 p2(sk0_35(sk0_29(sk0_10)))|~pd0_2(sk0_29(sk0_10))|p2(sk0_29(sk0_10))|~spl0_265),
% 2.61/0.73 inference(resolution,[status(thm)],[f1644,f100])).
% 2.61/0.73 fof(f1714,plain,(
% 2.61/0.73 spl0_231|~spl0_105|spl0_94|~spl0_265),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1713,f1387,f642,f568,f1643])).
% 2.61/0.73 fof(f1749,plain,(
% 2.61/0.73 spl0_269 <=> ~r1(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),X0)|p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1750,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),X0)|p2(X0)|~spl0_269)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1749])).
% 2.61/0.73 fof(f1752,plain,(
% 2.61/0.73 spl0_270 <=> p2(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1754,plain,(
% 2.61/0.73 ~p2(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0))|spl0_270),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1752])).
% 2.61/0.73 fof(f1755,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),X0)|p2(X0)|~p2(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0))|~spl0_89|~spl0_67)),
% 2.61/0.73 inference(resolution,[status(thm)],[f1612,f410])).
% 2.61/0.73 fof(f1756,plain,(
% 2.61/0.73 spl0_269|~spl0_270|~spl0_89|~spl0_67),
% 2.61/0.73 inference(split_clause,[status(thm)],[f1755,f1749,f1752,f534,f409])).
% 2.61/0.73 fof(f1758,plain,(
% 2.61/0.73 ![X0]: (~pd0_4(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),X0)|spl0_270)),
% 2.61/0.73 inference(resolution,[status(thm)],[f1754,f118])).
% 2.61/0.73 fof(f1759,plain,(
% 2.61/0.73 $false|spl0_270|~spl0_89),
% 2.61/0.73 inference(backward_subsumption_resolution,[status(thm)],[f535,f1758])).
% 2.61/0.73 fof(f1760,plain,(
% 2.61/0.73 spl0_270|~spl0_89),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f1759])).
% 2.61/0.73 fof(f1904,plain,(
% 2.61/0.73 spl0_295 <=> p2(sk0_39(sk0_29(sk0_10),sk0_28(sk0_10)))),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1905,plain,(
% 2.61/0.73 p2(sk0_39(sk0_29(sk0_10),sk0_28(sk0_10)))|~spl0_295),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1904])).
% 2.61/0.73 fof(f1930,plain,(
% 2.61/0.73 spl0_297 <=> r1(sk0_0,sk0_1)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1932,plain,(
% 2.61/0.73 ~r1(sk0_0,sk0_1)|spl0_297),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1930])).
% 2.61/0.73 fof(f1935,plain,(
% 2.61/0.73 $false|spl0_297),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f1932,f13])).
% 2.61/0.73 fof(f1936,plain,(
% 2.61/0.73 spl0_297),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f1935])).
% 2.61/0.73 fof(f1937,plain,(
% 2.61/0.73 spl0_298 <=> r1(sk0_0,sk0_7)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f1939,plain,(
% 2.61/0.73 ~r1(sk0_0,sk0_7)|spl0_298),
% 2.61/0.73 inference(component_clause,[status(thm)],[f1937])).
% 2.61/0.73 fof(f1942,plain,(
% 2.61/0.73 $false|spl0_298),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f1939,f25])).
% 2.61/0.73 fof(f1943,plain,(
% 2.61/0.73 spl0_298),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f1942])).
% 2.61/0.73 fof(f2045,plain,(
% 2.61/0.73 ~pd0_3(sk0_28(sk0_10))|~r1(sk0_28(sk0_10),sk0_29(sk0_10))|p2(sk0_29(sk0_10))|~spl0_295),
% 2.61/0.73 inference(resolution,[status(thm)],[f1905,f111])).
% 2.61/0.73 fof(f2046,plain,(
% 2.61/0.73 ~spl0_86|~spl0_267|spl0_94|~spl0_295),
% 2.61/0.73 inference(split_clause,[status(thm)],[f2045,f519,f1671,f568,f1904])).
% 2.61/0.73 fof(f2051,plain,(
% 2.61/0.73 p2(sk0_39(sk0_29(sk0_10),sk0_28(sk0_10)))|~pd0_3(sk0_28(sk0_10))|~r1(sk0_28(sk0_10),sk0_29(sk0_10))|p2(sk0_29(sk0_10))|~spl0_263),
% 2.61/0.73 inference(resolution,[status(thm)],[f1634,f110])).
% 2.61/0.73 fof(f2052,plain,(
% 2.61/0.73 spl0_295|~spl0_86|~spl0_267|spl0_94|~spl0_263),
% 2.61/0.73 inference(split_clause,[status(thm)],[f2051,f1904,f519,f1671,f568,f1633])).
% 2.61/0.73 fof(f2059,plain,(
% 2.61/0.73 ![X0]: (p2(sk0_40(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),X0))|~pd0_4(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),X0)|~spl0_269)),
% 2.61/0.73 inference(resolution,[status(thm)],[f1750,f116])).
% 2.61/0.73 fof(f2060,plain,(
% 2.61/0.73 ![X0]: (~pd0_4(sk0_24(sk0_23(sk0_4),sk0_4,sk0_0),X0)|~spl0_269)),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f2059,f117])).
% 2.61/0.73 fof(f2061,plain,(
% 2.61/0.73 $false|~spl0_269|~spl0_89),
% 2.61/0.73 inference(forward_subsumption_resolution,[status(thm)],[f535,f2060])).
% 2.61/0.73 fof(f2062,plain,(
% 2.61/0.73 ~spl0_269|~spl0_89),
% 2.61/0.73 inference(contradiction_clause,[status(thm)],[f2061])).
% 2.61/0.73 fof(f2105,plain,(
% 2.61/0.73 spl0_312 <=> ~r1(sk0_5(sk0_10),X0)|p2(X0)),
% 2.61/0.73 introduced(split_symbol_definition)).
% 2.61/0.73 fof(f2106,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_5(sk0_10),X0)|p2(X0)|~spl0_312)),
% 2.61/0.73 inference(component_clause,[status(thm)],[f2105])).
% 2.61/0.73 fof(f2108,plain,(
% 2.61/0.73 ![X0]: (~r1(sk0_5(sk0_10),X0)|p2(X0)|~p2(sk0_5(sk0_10))|~spl0_78|~spl0_4)),
% 2.61/0.73 inference(resolution,[status(thm)],[f488,f140])).
% 2.61/0.73 fof(f2109,plain,(
% 2.61/0.73 spl0_312|~spl0_151|~spl0_78|~spl0_4),
% 2.61/0.73 inference(split_clause,[status(thm)],[f2108,f2105,f904,f487,f139])).
% 2.61/0.74 fof(f2138,plain,(
% 2.61/0.74 spl0_318 <=> p2(sk0_6(sk0_10))),
% 2.61/0.74 introduced(split_symbol_definition)).
% 2.61/0.74 fof(f2139,plain,(
% 2.61/0.74 p2(sk0_6(sk0_10))|~spl0_318),
% 2.61/0.74 inference(component_clause,[status(thm)],[f2138])).
% 2.61/0.74 fof(f2150,plain,(
% 2.61/0.74 ~r1(sk0_0,sk0_10)|p2(sk0_10)|spl0_151),
% 2.61/0.74 inference(resolution,[status(thm)],[f906,f24])).
% 2.61/0.74 fof(f2151,plain,(
% 2.61/0.74 ~spl0_1|spl0_3|spl0_151),
% 2.61/0.74 inference(split_clause,[status(thm)],[f2150,f128,f135,f904])).
% 2.61/0.74 fof(f2154,plain,(
% 2.61/0.74 ~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_318),
% 2.61/0.74 inference(resolution,[status(thm)],[f2139,f23])).
% 2.61/0.74 fof(f2155,plain,(
% 2.61/0.74 ~spl0_1|spl0_3|~spl0_318),
% 2.61/0.74 inference(split_clause,[status(thm)],[f2154,f128,f135,f2138])).
% 2.61/0.74 fof(f2215,plain,(
% 2.61/0.74 p2(sk0_6(sk0_10))|~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_312),
% 2.61/0.74 inference(resolution,[status(thm)],[f2106,f22])).
% 2.61/0.74 fof(f2216,plain,(
% 2.61/0.74 spl0_318|~spl0_1|spl0_3|~spl0_312),
% 2.61/0.74 inference(split_clause,[status(thm)],[f2215,f2138,f128,f135,f2105])).
% 2.61/0.74 fof(f2286,plain,(
% 2.61/0.74 spl0_332 <=> ~r1(sk0_5(sk0_25(sk0_0)),X0)|p2(X0)),
% 2.61/0.74 introduced(split_symbol_definition)).
% 2.61/0.74 fof(f2287,plain,(
% 2.61/0.74 ![X0]: (~r1(sk0_5(sk0_25(sk0_0)),X0)|p2(X0)|~spl0_332)),
% 2.61/0.74 inference(component_clause,[status(thm)],[f2286])).
% 2.61/0.74 fof(f2289,plain,(
% 2.61/0.74 ![X0]: (~r1(sk0_5(sk0_25(sk0_0)),X0)|p2(X0)|~p2(sk0_5(sk0_25(sk0_0)))|~spl0_102|~spl0_71)),
% 2.61/0.74 inference(resolution,[status(thm)],[f612,f430])).
% 2.61/0.74 fof(f2290,plain,(
% 2.61/0.74 spl0_332|~spl0_132|~spl0_102|~spl0_71),
% 2.61/0.74 inference(split_clause,[status(thm)],[f2289,f2286,f819,f611,f429])).
% 2.61/0.74 fof(f2417,plain,(
% 2.61/0.74 spl0_354 <=> p2(sk0_6(sk0_25(sk0_0)))),
% 2.61/0.74 introduced(split_symbol_definition)).
% 2.61/0.74 fof(f2418,plain,(
% 2.61/0.74 p2(sk0_6(sk0_25(sk0_0)))|~spl0_354),
% 2.61/0.74 inference(component_clause,[status(thm)],[f2417])).
% 2.61/0.74 fof(f2420,plain,(
% 2.61/0.74 p2(sk0_6(sk0_25(sk0_0)))|~r1(sk0_0,sk0_25(sk0_0))|p2(sk0_25(sk0_0))|~spl0_332),
% 2.61/0.74 inference(resolution,[status(thm)],[f2287,f22])).
% 2.61/0.74 fof(f2421,plain,(
% 2.61/0.74 spl0_354|~spl0_70|spl0_97|~spl0_332),
% 2.61/0.74 inference(split_clause,[status(thm)],[f2420,f2417,f422,f590,f2286])).
% 2.61/0.74 fof(f2426,plain,(
% 2.61/0.74 ~r1(sk0_0,sk0_25(sk0_0))|p2(sk0_25(sk0_0))|~spl0_354),
% 2.61/0.74 inference(resolution,[status(thm)],[f2418,f23])).
% 2.61/0.74 fof(f2427,plain,(
% 2.61/0.74 ~spl0_70|spl0_97|~spl0_354),
% 2.61/0.74 inference(split_clause,[status(thm)],[f2426,f422,f590,f2417])).
% 2.61/0.74 fof(f2428,plain,(
% 2.61/0.74 ~r1(sk0_0,sk0_25(sk0_0))|p2(sk0_25(sk0_0))|spl0_132),
% 2.61/0.74 inference(resolution,[status(thm)],[f821,f24])).
% 2.61/0.74 fof(f2429,plain,(
% 2.61/0.74 ~spl0_70|spl0_97|spl0_132),
% 2.61/0.74 inference(split_clause,[status(thm)],[f2428,f422,f590,f819])).
% 2.61/0.74 fof(f2432,plain,(
% 2.61/0.74 $false),
% 2.61/0.74 inference(sat_refutation,[status(thm)],[f131,f138,f142,f146,f150,f295,f318,f336,f352,f362,f386,f388,f398,f413,f426,f433,f473,f478,f491,f515,f526,f528,f538,f575,f580,f582,f585,f615,f625,f646,f689,f713,f737,f774,f789,f895,f1224,f1363,f1400,f1435,f1439,f1483,f1497,f1501,f1593,f1599,f1604,f1610,f1640,f1650,f1668,f1675,f1688,f1714,f1756,f1760,f1936,f1943,f2046,f2052,f2062,f2109,f2151,f2155,f2216,f2290,f2421,f2427,f2429])).
% 2.61/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 2.61/0.74 % Elapsed time: 0.389256 seconds
% 2.61/0.74 % CPU time: 2.911628 seconds
% 2.61/0.74 % Memory used: 33.067 MB
%------------------------------------------------------------------------------