TSTP Solution File: LCL642+1.001 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL642+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:27:35 EDT 2024
% Result : Theorem 1.94s 0.60s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL642+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 20:14:59 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 1.94/0.60 % Refutation found
% 1.94/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.94/0.60 % SZS output start CNFRefutation for theBenchmark
% 1.94/0.60 fof(f1,conjecture,(
% 1.94/0.60 ~ (? [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) ) )) ) ) )) ))& (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )) )) ) )),
% 1.94/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.94/0.60 fof(f2,negated_conjecture,(
% 1.94/0.60 ~(~ (? [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) ) )) ) ) )) ))& (! [Y] :( ~ r1(X,Y)| p2(Y)| ~ (! [X] :( ~ r1(Y,X)| p2(X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p2(X) ))| ~ p2(Y) ) )) )) )) ) ))),
% 1.94/0.60 inference(negated_conjecture,[status(cth)],[f1])).
% 1.94/0.60 fof(f3,plain,(
% 1.94/0.60 ?[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))))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 1.94/0.60 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.94/0.60 fof(f4,plain,(
% 1.94/0.60 ![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))))))),
% 1.94/0.60 introduced(predicate_definition,[f3])).
% 1.94/0.60 fof(f5,plain,(
% 1.94/0.60 ?[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))))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 1.94/0.60 inference(formula_renaming,[status(thm)],[f3,f4])).
% 1.94/0.60 fof(f6,plain,(
% 1.94/0.60 ![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)))))))),
% 1.94/0.60 introduced(predicate_definition,[f5])).
% 1.94/0.60 fof(f7,plain,(
% 1.94/0.60 ![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))))))),
% 1.94/0.60 introduced(predicate_definition,[f5])).
% 1.94/0.60 fof(f8,plain,(
% 1.94/0.60 ![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)))))))),
% 1.94/0.60 introduced(predicate_definition,[f5])).
% 1.94/0.60 fof(f9,plain,(
% 1.94/0.60 ?[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))))))))))&(![Y]: ((~r1(X,Y)|p2(Y))|(?[X]: ((r1(Y,X)&~p2(X))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))))))),
% 1.94/0.60 inference(formula_renaming,[status(thm)],[f5,f8,f7,f6])).
% 1.94/0.60 fof(f10,plain,(
% 1.94/0.60 (((((((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)))))))))&(![Y]: ((~r1(sk0_0,Y)|p2(Y))|((r1(Y,sk0_11(Y))&~p2(sk0_11(Y)))&(![Y]: ((~r1(sk0_11(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y))))))))),
% 1.94/0.60 inference(skolemization,[status(esa)],[f9])).
% 1.94/0.60 fof(f11,plain,(
% 1.94/0.60 r1(sk0_0,sk0_1)),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f12,plain,(
% 1.94/0.60 ~p3(sk0_1)),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f13,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_0,X0)|p3(X0)|r1(X0,sk0_2(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f17,plain,(
% 1.94/0.60 r1(sk0_0,sk0_4)),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f18,plain,(
% 1.94/0.60 ~p2(sk0_4)),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f19,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(X0,sk0_5(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f20,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(sk0_5(X0),sk0_6(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f21,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~p2(sk0_6(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f22,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_0,X0)|p2(X0)|p2(sk0_5(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f23,plain,(
% 1.94/0.60 r1(sk0_0,sk0_7)),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f24,plain,(
% 1.94/0.60 ~p1(sk0_7)),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f25,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_0,X0)|p1(X0)|r1(X0,sk0_8(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f29,plain,(
% 1.94/0.60 pd0_0(sk0_0)|r1(sk0_0,sk0_10)),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f30,plain,(
% 1.94/0.60 pd0_0(sk0_0)|pd0_1(sk0_10)|~p2(sk0_10)),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f31,plain,(
% 1.94/0.60 ![X0,X1]: (pd0_0(sk0_0)|pd0_1(sk0_10)|~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f32,plain,(
% 1.94/0.60 ![X0,X1]: (pd0_0(sk0_0)|~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f33,plain,(
% 1.94/0.60 ![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))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f34,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_0,X0)|p2(X0)|r1(X0,sk0_11(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f35,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_0,X0)|p2(X0)|~p2(sk0_11(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f36,plain,(
% 1.94/0.60 ![X0,X1,X2]: (~r1(sk0_0,X0)|p2(X0)|~r1(sk0_11(X0),X1)|~r1(X1,X2)|p2(X2)|~p2(X1))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.94/0.60 fof(f37,plain,(
% 1.94/0.60 ![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))))))),
% 1.94/0.60 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 1.94/0.60 fof(f38,plain,(
% 1.94/0.60 ![X,Y]: (pd0_4(Y,X)=>((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))),
% 1.94/0.60 introduced(predicate_definition,[f37])).
% 1.94/0.60 fof(f39,plain,(
% 1.94/0.60 ![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))))))),
% 1.94/0.60 inference(formula_renaming,[status(thm)],[f37,f38])).
% 1.94/0.60 fof(f40,plain,(
% 1.94/0.60 ![X]: (~pd0_0(X)|(((![Y]: (~r1(X,Y)|(![X]: ((~r1(Y,X)|p2(X))|pd0_4(sk0_12(X,Y,X),X)))))|((r1(X,sk0_13(X))&~p2(sk0_13(X)))&(![X]: ((~r1(sk0_13(X),X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))&(p2(X)|((r1(X,sk0_14(X))&(r1(sk0_14(X),sk0_15(X))&~p2(sk0_15(X))))&p2(sk0_14(X))))))),
% 1.94/0.60 inference(skolemization,[status(esa)],[f39])).
% 1.94/0.60 fof(f41,plain,(
% 1.94/0.60 ![X0,X1,X2]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_12(X2,X1,X0),X2)|r1(X0,sk0_13(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f40])).
% 1.94/0.60 fof(f42,plain,(
% 1.94/0.60 ![X0,X1,X2]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_12(X2,X1,X0),X2)|~p2(sk0_13(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f40])).
% 1.94/0.60 fof(f43,plain,(
% 1.94/0.60 ![X0,X1,X2,X3,X4]: (~pd0_0(X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|pd0_4(sk0_12(X2,X1,X0),X2)|~r1(sk0_13(X0),X3)|~r1(X3,X4)|p2(X4)|~p2(X3))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f40])).
% 1.94/0.60 fof(f48,plain,(
% 1.94/0.60 ![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)))))))),
% 1.94/0.60 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 1.94/0.60 fof(f49,plain,(
% 1.94/0.60 ![Y]: (~pd0_1(Y)|((r1(Y,sk0_16(Y))&((r1(sk0_16(Y),sk0_17(Y))&~p2(sk0_17(Y)))&(![X]: ((~r1(sk0_17(Y),X)|(![Y]: (~r1(X,Y)|p2(Y))))|~p2(X)))))&(![X]: ((~r1(Y,X)|p2(X))|((r1(X,sk0_18(X,Y))&(r1(sk0_18(X,Y),sk0_19(X,Y))&~p2(sk0_19(X,Y))))&p2(sk0_18(X,Y)))))))),
% 1.94/0.60 inference(skolemization,[status(esa)],[f48])).
% 1.94/0.60 fof(f50,plain,(
% 1.94/0.60 ![X0]: (~pd0_1(X0)|r1(X0,sk0_16(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.60 fof(f51,plain,(
% 1.94/0.60 ![X0]: (~pd0_1(X0)|r1(sk0_16(X0),sk0_17(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.60 fof(f52,plain,(
% 1.94/0.60 ![X0]: (~pd0_1(X0)|~p2(sk0_17(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.60 fof(f53,plain,(
% 1.94/0.60 ![X0,X1,X2]: (~pd0_1(X0)|~r1(sk0_17(X0),X1)|~r1(X1,X2)|p2(X2)|~p2(X1))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.60 fof(f54,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|r1(X1,sk0_18(X1,X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.60 fof(f55,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|r1(sk0_18(X1,X0),sk0_19(X1,X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.60 fof(f56,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|~p2(sk0_19(X1,X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.60 fof(f57,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|p2(sk0_18(X1,X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.60 fof(f58,plain,(
% 1.94/0.60 ![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))))))),
% 1.94/0.60 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 1.94/0.60 fof(f59,plain,(
% 1.94/0.60 ![Y,X]: (pd0_5(X,Y)=>((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))),
% 1.94/0.60 introduced(predicate_definition,[f58])).
% 1.94/0.60 fof(f60,plain,(
% 1.94/0.60 ![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))))))),
% 1.94/0.60 inference(formula_renaming,[status(thm)],[f58,f59])).
% 1.94/0.60 fof(f61,plain,(
% 1.94/0.60 ![Y]: (~pd0_2(Y)|(((![X]: (~r1(Y,X)|(![Y]: ((~r1(X,Y)|p2(Y))|pd0_5(sk0_20(Y,X,Y),Y)))))|((r1(Y,sk0_21(Y))&~p2(sk0_21(Y)))&(![Y]: ((~r1(sk0_21(Y),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))&(p2(Y)|((r1(Y,sk0_22(Y))&(r1(sk0_22(Y),sk0_23(Y))&~p2(sk0_23(Y))))&p2(sk0_22(Y))))))),
% 1.94/0.60 inference(skolemization,[status(esa)],[f60])).
% 1.94/0.60 fof(f65,plain,(
% 1.94/0.60 ![X0]: (~pd0_2(X0)|p2(X0)|r1(X0,sk0_22(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f61])).
% 1.94/0.60 fof(f66,plain,(
% 1.94/0.60 ![X0]: (~pd0_2(X0)|p2(X0)|r1(sk0_22(X0),sk0_23(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f61])).
% 1.94/0.60 fof(f67,plain,(
% 1.94/0.60 ![X0]: (~pd0_2(X0)|p2(X0)|~p2(sk0_23(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f61])).
% 1.94/0.60 fof(f68,plain,(
% 1.94/0.60 ![X0]: (~pd0_2(X0)|p2(X0)|p2(sk0_22(X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f61])).
% 1.94/0.60 fof(f69,plain,(
% 1.94/0.60 ![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)))))))),
% 1.94/0.60 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 1.94/0.60 fof(f70,plain,(
% 1.94/0.60 ![X]: (~pd0_3(X)|((r1(X,sk0_24(X))&((r1(sk0_24(X),sk0_25(X))&~p2(sk0_25(X)))&(![Y]: ((~r1(sk0_25(X),Y)|(![X]: (~r1(Y,X)|p2(X))))|~p2(Y)))))&(![Y]: ((~r1(X,Y)|p2(Y))|((r1(Y,sk0_26(Y,X))&(r1(sk0_26(Y,X),sk0_27(Y,X))&~p2(sk0_27(Y,X))))&p2(sk0_26(Y,X)))))))),
% 1.94/0.60 inference(skolemization,[status(esa)],[f69])).
% 1.94/0.60 fof(f75,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|r1(X1,sk0_26(X1,X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f70])).
% 1.94/0.60 fof(f76,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|r1(sk0_26(X1,X0),sk0_27(X1,X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f70])).
% 1.94/0.60 fof(f77,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|~p2(sk0_27(X1,X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f70])).
% 1.94/0.60 fof(f78,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_3(X0)|~r1(X0,X1)|p2(X1)|p2(sk0_26(X1,X0)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f70])).
% 1.94/0.60 fof(f79,plain,(
% 1.94/0.60 ![X,Y]: (~pd0_4(Y,X)|((r1(X,Y)&(?[X]: (r1(Y,X)&~p2(X))))&p2(Y)))),
% 1.94/0.60 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 1.94/0.60 fof(f80,plain,(
% 1.94/0.60 ![X,Y]: (~pd0_4(Y,X)|((r1(X,Y)&(r1(Y,sk0_28(Y,X))&~p2(sk0_28(Y,X))))&p2(Y)))),
% 1.94/0.60 inference(skolemization,[status(esa)],[f79])).
% 1.94/0.60 fof(f81,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_4(X0,X1)|r1(X1,X0))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f80])).
% 1.94/0.60 fof(f82,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_4(X0,X1)|r1(X0,sk0_28(X0,X1)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f80])).
% 1.94/0.60 fof(f83,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_4(X0,X1)|~p2(sk0_28(X0,X1)))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f80])).
% 1.94/0.60 fof(f84,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_4(X0,X1)|p2(X0))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f80])).
% 1.94/0.60 fof(f85,plain,(
% 1.94/0.60 ![Y,X]: (~pd0_5(X,Y)|((r1(Y,X)&(?[Y]: (r1(X,Y)&~p2(Y))))&p2(X)))),
% 1.94/0.60 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 1.94/0.60 fof(f86,plain,(
% 1.94/0.60 ![Y,X]: (~pd0_5(X,Y)|((r1(Y,X)&(r1(X,sk0_29(X,Y))&~p2(sk0_29(X,Y))))&p2(X)))),
% 1.94/0.60 inference(skolemization,[status(esa)],[f85])).
% 1.94/0.60 fof(f90,plain,(
% 1.94/0.60 ![X0,X1]: (~pd0_5(X0,X1)|p2(X0))),
% 1.94/0.60 inference(cnf_transformation,[status(esa)],[f86])).
% 1.94/0.60 fof(f91,plain,(
% 1.94/0.60 spl0_0 <=> pd0_0(sk0_0)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f92,plain,(
% 1.94/0.60 pd0_0(sk0_0)|~spl0_0),
% 1.94/0.60 inference(component_clause,[status(thm)],[f91])).
% 1.94/0.60 fof(f94,plain,(
% 1.94/0.60 spl0_1 <=> r1(sk0_0,sk0_10)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f95,plain,(
% 1.94/0.60 r1(sk0_0,sk0_10)|~spl0_1),
% 1.94/0.60 inference(component_clause,[status(thm)],[f94])).
% 1.94/0.60 fof(f97,plain,(
% 1.94/0.60 spl0_0|spl0_1),
% 1.94/0.60 inference(split_clause,[status(thm)],[f29,f91,f94])).
% 1.94/0.60 fof(f98,plain,(
% 1.94/0.60 spl0_2 <=> pd0_1(sk0_10)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f99,plain,(
% 1.94/0.60 pd0_1(sk0_10)|~spl0_2),
% 1.94/0.60 inference(component_clause,[status(thm)],[f98])).
% 1.94/0.60 fof(f101,plain,(
% 1.94/0.60 spl0_3 <=> p2(sk0_10)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f104,plain,(
% 1.94/0.60 spl0_0|spl0_2|~spl0_3),
% 1.94/0.60 inference(split_clause,[status(thm)],[f30,f91,f98,f101])).
% 1.94/0.60 fof(f105,plain,(
% 1.94/0.60 spl0_4 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f106,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_10,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_4)),
% 1.94/0.60 inference(component_clause,[status(thm)],[f105])).
% 1.94/0.60 fof(f108,plain,(
% 1.94/0.60 spl0_0|spl0_2|spl0_4),
% 1.94/0.60 inference(split_clause,[status(thm)],[f31,f91,f98,f105])).
% 1.94/0.60 fof(f109,plain,(
% 1.94/0.60 spl0_5 <=> ~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f110,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_10,X0)|~r1(X0,X1)|pd0_2(X1)|pd0_3(X0)|~p2(X0)|~spl0_5)),
% 1.94/0.60 inference(component_clause,[status(thm)],[f109])).
% 1.94/0.60 fof(f112,plain,(
% 1.94/0.60 spl0_0|spl0_5),
% 1.94/0.60 inference(split_clause,[status(thm)],[f32,f91,f109])).
% 1.94/0.60 fof(f113,plain,(
% 1.94/0.60 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)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f114,plain,(
% 1.94/0.60 ![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)),
% 1.94/0.60 inference(component_clause,[status(thm)],[f113])).
% 1.94/0.60 fof(f116,plain,(
% 1.94/0.60 spl0_0|spl0_6),
% 1.94/0.60 inference(split_clause,[status(thm)],[f33,f91,f113])).
% 1.94/0.60 fof(f143,plain,(
% 1.94/0.60 spl0_11 <=> p3(sk0_1)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f144,plain,(
% 1.94/0.60 p3(sk0_1)|~spl0_11),
% 1.94/0.60 inference(component_clause,[status(thm)],[f143])).
% 1.94/0.60 fof(f146,plain,(
% 1.94/0.60 spl0_12 <=> r1(sk0_1,sk0_2(sk0_1))),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f149,plain,(
% 1.94/0.60 p3(sk0_1)|r1(sk0_1,sk0_2(sk0_1))),
% 1.94/0.60 inference(resolution,[status(thm)],[f13,f11])).
% 1.94/0.60 fof(f150,plain,(
% 1.94/0.60 spl0_11|spl0_12),
% 1.94/0.60 inference(split_clause,[status(thm)],[f149,f143,f146])).
% 1.94/0.60 fof(f151,plain,(
% 1.94/0.60 $false|~spl0_11),
% 1.94/0.60 inference(forward_subsumption_resolution,[status(thm)],[f144,f12])).
% 1.94/0.60 fof(f152,plain,(
% 1.94/0.60 ~spl0_11),
% 1.94/0.60 inference(contradiction_clause,[status(thm)],[f151])).
% 1.94/0.60 fof(f175,plain,(
% 1.94/0.60 spl0_17 <=> p2(sk0_4)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f176,plain,(
% 1.94/0.60 p2(sk0_4)|~spl0_17),
% 1.94/0.60 inference(component_clause,[status(thm)],[f175])).
% 1.94/0.60 fof(f178,plain,(
% 1.94/0.60 spl0_18 <=> r1(sk0_4,sk0_5(sk0_4))),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f181,plain,(
% 1.94/0.60 p2(sk0_4)|r1(sk0_4,sk0_5(sk0_4))),
% 1.94/0.60 inference(resolution,[status(thm)],[f19,f17])).
% 1.94/0.60 fof(f182,plain,(
% 1.94/0.60 spl0_17|spl0_18),
% 1.94/0.60 inference(split_clause,[status(thm)],[f181,f175,f178])).
% 1.94/0.60 fof(f195,plain,(
% 1.94/0.60 $false|~spl0_17),
% 1.94/0.60 inference(forward_subsumption_resolution,[status(thm)],[f176,f18])).
% 1.94/0.60 fof(f196,plain,(
% 1.94/0.60 ~spl0_17),
% 1.94/0.60 inference(contradiction_clause,[status(thm)],[f195])).
% 1.94/0.60 fof(f197,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_5(sk0_6(X0),X1))),
% 1.94/0.60 inference(resolution,[status(thm)],[f21,f90])).
% 1.94/0.60 fof(f198,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_4(sk0_6(X0),X1))),
% 1.94/0.60 inference(resolution,[status(thm)],[f21,f84])).
% 1.94/0.60 fof(f199,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_5(sk0_11(X0),X1))),
% 1.94/0.60 inference(resolution,[status(thm)],[f35,f90])).
% 1.94/0.60 fof(f200,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_0,X0)|p2(X0)|~pd0_4(sk0_11(X0),X1))),
% 1.94/0.60 inference(resolution,[status(thm)],[f35,f84])).
% 1.94/0.60 fof(f201,plain,(
% 1.94/0.60 spl0_21 <=> p1(sk0_7)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f202,plain,(
% 1.94/0.60 p1(sk0_7)|~spl0_21),
% 1.94/0.60 inference(component_clause,[status(thm)],[f201])).
% 1.94/0.60 fof(f204,plain,(
% 1.94/0.60 spl0_22 <=> r1(sk0_7,sk0_8(sk0_7))),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f207,plain,(
% 1.94/0.60 p1(sk0_7)|r1(sk0_7,sk0_8(sk0_7))),
% 1.94/0.60 inference(resolution,[status(thm)],[f25,f23])).
% 1.94/0.60 fof(f208,plain,(
% 1.94/0.60 spl0_21|spl0_22),
% 1.94/0.60 inference(split_clause,[status(thm)],[f207,f201,f204])).
% 1.94/0.60 fof(f232,plain,(
% 1.94/0.60 spl0_28 <=> r1(sk0_4,sk0_11(sk0_4))),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f233,plain,(
% 1.94/0.60 r1(sk0_4,sk0_11(sk0_4))|~spl0_28),
% 1.94/0.60 inference(component_clause,[status(thm)],[f232])).
% 1.94/0.60 fof(f235,plain,(
% 1.94/0.60 p2(sk0_4)|r1(sk0_4,sk0_11(sk0_4))),
% 1.94/0.60 inference(resolution,[status(thm)],[f34,f17])).
% 1.94/0.60 fof(f236,plain,(
% 1.94/0.60 spl0_17|spl0_28),
% 1.94/0.60 inference(split_clause,[status(thm)],[f235,f175,f232])).
% 1.94/0.60 fof(f251,plain,(
% 1.94/0.60 spl0_31 <=> ~pd0_5(sk0_6(sk0_4),X0)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f254,plain,(
% 1.94/0.60 ![X0]: (p2(sk0_4)|~pd0_5(sk0_6(sk0_4),X0))),
% 1.94/0.60 inference(resolution,[status(thm)],[f197,f17])).
% 1.94/0.60 fof(f255,plain,(
% 1.94/0.60 spl0_17|spl0_31),
% 1.94/0.60 inference(split_clause,[status(thm)],[f254,f175,f251])).
% 1.94/0.60 fof(f270,plain,(
% 1.94/0.60 spl0_34 <=> ~pd0_4(sk0_6(sk0_4),X0)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f273,plain,(
% 1.94/0.60 ![X0]: (p2(sk0_4)|~pd0_4(sk0_6(sk0_4),X0))),
% 1.94/0.60 inference(resolution,[status(thm)],[f198,f17])).
% 1.94/0.60 fof(f274,plain,(
% 1.94/0.60 spl0_17|spl0_34),
% 1.94/0.60 inference(split_clause,[status(thm)],[f273,f175,f270])).
% 1.94/0.60 fof(f289,plain,(
% 1.94/0.60 spl0_37 <=> ~pd0_5(sk0_11(sk0_4),X0)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f292,plain,(
% 1.94/0.60 ![X0]: (p2(sk0_4)|~pd0_5(sk0_11(sk0_4),X0))),
% 1.94/0.60 inference(resolution,[status(thm)],[f199,f17])).
% 1.94/0.60 fof(f293,plain,(
% 1.94/0.60 spl0_17|spl0_37),
% 1.94/0.60 inference(split_clause,[status(thm)],[f292,f175,f289])).
% 1.94/0.60 fof(f308,plain,(
% 1.94/0.60 spl0_40 <=> ~pd0_4(sk0_11(sk0_4),X0)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f311,plain,(
% 1.94/0.60 ![X0]: (p2(sk0_4)|~pd0_4(sk0_11(sk0_4),X0))),
% 1.94/0.60 inference(resolution,[status(thm)],[f200,f17])).
% 1.94/0.60 fof(f312,plain,(
% 1.94/0.60 spl0_17|spl0_40),
% 1.94/0.60 inference(split_clause,[status(thm)],[f311,f175,f308])).
% 1.94/0.60 fof(f322,plain,(
% 1.94/0.60 ![X0,X1,X2]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|~pd0_5(sk0_19(X1,X0),X2))),
% 1.94/0.60 inference(resolution,[status(thm)],[f56,f90])).
% 1.94/0.60 fof(f323,plain,(
% 1.94/0.60 ![X0,X1,X2]: (~pd0_1(X0)|~r1(X0,X1)|p2(X1)|~pd0_4(sk0_19(X1,X0),X2))),
% 1.94/0.60 inference(resolution,[status(thm)],[f56,f84])).
% 1.94/0.60 fof(f331,plain,(
% 1.94/0.60 spl0_43 <=> ~r1(sk0_11(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f332,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_11(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_43)),
% 1.94/0.60 inference(component_clause,[status(thm)],[f331])).
% 1.94/0.60 fof(f334,plain,(
% 1.94/0.60 ![X0,X1]: (p2(sk0_4)|~r1(sk0_11(sk0_4),X0)|~r1(X0,X1)|p2(X1)|~p2(X0))),
% 1.94/0.60 inference(resolution,[status(thm)],[f36,f17])).
% 1.94/0.60 fof(f335,plain,(
% 1.94/0.60 spl0_17|spl0_43),
% 1.94/0.60 inference(split_clause,[status(thm)],[f334,f175,f331])).
% 1.94/0.60 fof(f345,plain,(
% 1.94/0.60 spl0_45 <=> ~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_12(X1,X0,sk0_0),X1)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f346,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_12(X1,X0,sk0_0),X1)|~spl0_45)),
% 1.94/0.60 inference(component_clause,[status(thm)],[f345])).
% 1.94/0.60 fof(f348,plain,(
% 1.94/0.60 spl0_46 <=> r1(sk0_0,sk0_13(sk0_0))),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f349,plain,(
% 1.94/0.60 r1(sk0_0,sk0_13(sk0_0))|~spl0_46),
% 1.94/0.60 inference(component_clause,[status(thm)],[f348])).
% 1.94/0.60 fof(f351,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_12(X1,X0,sk0_0),X1)|r1(sk0_0,sk0_13(sk0_0))|~spl0_0)),
% 1.94/0.60 inference(resolution,[status(thm)],[f41,f92])).
% 1.94/0.60 fof(f352,plain,(
% 1.94/0.60 spl0_45|spl0_46|~spl0_0),
% 1.94/0.60 inference(split_clause,[status(thm)],[f351,f345,f348,f91])).
% 1.94/0.60 fof(f358,plain,(
% 1.94/0.60 ![X0]: (~r1(sk0_4,X0)|p2(X0)|pd0_4(sk0_12(X0,sk0_4,sk0_0),X0)|~spl0_45)),
% 1.94/0.60 inference(resolution,[status(thm)],[f346,f17])).
% 1.94/0.60 fof(f366,plain,(
% 1.94/0.60 spl0_47 <=> p2(sk0_11(sk0_4))),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f367,plain,(
% 1.94/0.60 p2(sk0_11(sk0_4))|~spl0_47),
% 1.94/0.60 inference(component_clause,[status(thm)],[f366])).
% 1.94/0.60 fof(f369,plain,(
% 1.94/0.60 spl0_48 <=> pd0_4(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),sk0_11(sk0_4))),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f370,plain,(
% 1.94/0.60 pd0_4(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),sk0_11(sk0_4))|~spl0_48),
% 1.94/0.60 inference(component_clause,[status(thm)],[f369])).
% 1.94/0.60 fof(f372,plain,(
% 1.94/0.60 p2(sk0_11(sk0_4))|pd0_4(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),sk0_11(sk0_4))|~spl0_45|~spl0_28),
% 1.94/0.60 inference(resolution,[status(thm)],[f358,f233])).
% 1.94/0.60 fof(f373,plain,(
% 1.94/0.60 spl0_47|spl0_48|~spl0_45|~spl0_28),
% 1.94/0.60 inference(split_clause,[status(thm)],[f372,f366,f369,f345,f232])).
% 1.94/0.60 fof(f400,plain,(
% 1.94/0.60 spl0_53 <=> ~r1(sk0_13(sk0_0),X2)|~r1(X2,X3)|p2(X3)|~p2(X2)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f401,plain,(
% 1.94/0.60 ![X0,X1]: (~r1(sk0_13(sk0_0),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_53)),
% 1.94/0.60 inference(component_clause,[status(thm)],[f400])).
% 1.94/0.60 fof(f403,plain,(
% 1.94/0.60 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_12(X1,X0,sk0_0),X1)|~r1(sk0_13(sk0_0),X2)|~r1(X2,X3)|p2(X3)|~p2(X2)|~spl0_0)),
% 1.94/0.60 inference(resolution,[status(thm)],[f43,f92])).
% 1.94/0.60 fof(f404,plain,(
% 1.94/0.60 spl0_45|spl0_53|~spl0_0),
% 1.94/0.60 inference(split_clause,[status(thm)],[f403,f345,f400,f91])).
% 1.94/0.60 fof(f405,plain,(
% 1.94/0.60 $false|~spl0_21),
% 1.94/0.60 inference(forward_subsumption_resolution,[status(thm)],[f202,f24])).
% 1.94/0.60 fof(f406,plain,(
% 1.94/0.60 ~spl0_21),
% 1.94/0.60 inference(contradiction_clause,[status(thm)],[f405])).
% 1.94/0.60 fof(f415,plain,(
% 1.94/0.60 spl0_56 <=> r1(sk0_0,sk0_4)),
% 1.94/0.60 introduced(split_symbol_definition)).
% 1.94/0.60 fof(f417,plain,(
% 1.94/0.60 ~r1(sk0_0,sk0_4)|spl0_56),
% 1.94/0.60 inference(component_clause,[status(thm)],[f415])).
% 1.94/0.60 fof(f418,plain,(
% 1.94/0.60 ~r1(sk0_0,sk0_4)|p2(sk0_4)|~spl0_47),
% 1.94/0.60 inference(resolution,[status(thm)],[f367,f35])).
% 1.94/0.60 fof(f419,plain,(
% 1.94/0.60 ~spl0_56|spl0_17|~spl0_47),
% 1.94/0.60 inference(split_clause,[status(thm)],[f418,f415,f175,f366])).
% 1.94/0.60 fof(f420,plain,(
% 1.94/0.60 $false|spl0_56),
% 1.94/0.61 inference(forward_subsumption_resolution,[status(thm)],[f417,f17])).
% 1.94/0.61 fof(f421,plain,(
% 1.94/0.61 spl0_56),
% 1.94/0.61 inference(contradiction_clause,[status(thm)],[f420])).
% 1.94/0.61 fof(f422,plain,(
% 1.94/0.61 ![X0,X1]: (~r1(sk0_17(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f99,f53])).
% 1.94/0.61 fof(f423,plain,(
% 1.94/0.61 ![X0,X1]: (~r1(sk0_10,X0)|p2(X0)|~pd0_4(sk0_19(X0,sk0_10),X1)|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f99,f323])).
% 1.94/0.61 fof(f424,plain,(
% 1.94/0.61 ![X0,X1]: (~r1(sk0_10,X0)|p2(X0)|~pd0_5(sk0_19(X0,sk0_10),X1)|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f99,f322])).
% 1.94/0.61 fof(f425,plain,(
% 1.94/0.61 r1(sk0_10,sk0_16(sk0_10))|~spl0_2),
% 1.94/0.61 inference(resolution,[status(thm)],[f99,f50])).
% 1.94/0.61 fof(f426,plain,(
% 1.94/0.61 spl0_57 <=> ~r1(sk0_11(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f427,plain,(
% 1.94/0.61 ![X0,X1]: (~r1(sk0_11(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_57)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f426])).
% 1.94/0.61 fof(f429,plain,(
% 1.94/0.61 ![X0,X1]: (p2(sk0_10)|~r1(sk0_11(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_1)),
% 1.94/0.61 inference(resolution,[status(thm)],[f95,f36])).
% 1.94/0.61 fof(f430,plain,(
% 1.94/0.61 spl0_3|spl0_57|~spl0_1),
% 1.94/0.61 inference(split_clause,[status(thm)],[f429,f101,f426,f94])).
% 1.94/0.61 fof(f451,plain,(
% 1.94/0.61 spl0_62 <=> r1(sk0_10,sk0_11(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f452,plain,(
% 1.94/0.61 r1(sk0_10,sk0_11(sk0_10))|~spl0_62),
% 1.94/0.61 inference(component_clause,[status(thm)],[f451])).
% 1.94/0.61 fof(f454,plain,(
% 1.94/0.61 p2(sk0_10)|r1(sk0_10,sk0_11(sk0_10))|~spl0_1),
% 1.94/0.61 inference(resolution,[status(thm)],[f95,f34])).
% 1.94/0.61 fof(f455,plain,(
% 1.94/0.61 spl0_3|spl0_62|~spl0_1),
% 1.94/0.61 inference(split_clause,[status(thm)],[f454,f101,f451,f94])).
% 1.94/0.61 fof(f464,plain,(
% 1.94/0.61 spl0_65 <=> r1(sk0_10,sk0_5(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f465,plain,(
% 1.94/0.61 r1(sk0_10,sk0_5(sk0_10))|~spl0_65),
% 1.94/0.61 inference(component_clause,[status(thm)],[f464])).
% 1.94/0.61 fof(f467,plain,(
% 1.94/0.61 p2(sk0_10)|r1(sk0_10,sk0_5(sk0_10))|~spl0_1),
% 1.94/0.61 inference(resolution,[status(thm)],[f95,f19])).
% 1.94/0.61 fof(f468,plain,(
% 1.94/0.61 spl0_3|spl0_65|~spl0_1),
% 1.94/0.61 inference(split_clause,[status(thm)],[f467,f101,f464,f94])).
% 1.94/0.61 fof(f477,plain,(
% 1.94/0.61 spl0_68 <=> p2(sk0_16(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f480,plain,(
% 1.94/0.61 spl0_69 <=> ~pd0_4(sk0_19(sk0_16(sk0_10),sk0_10),X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f483,plain,(
% 1.94/0.61 ![X0]: (p2(sk0_16(sk0_10))|~pd0_4(sk0_19(sk0_16(sk0_10),sk0_10),X0)|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f423,f425])).
% 1.94/0.61 fof(f484,plain,(
% 1.94/0.61 spl0_68|spl0_69|~spl0_2),
% 1.94/0.61 inference(split_clause,[status(thm)],[f483,f477,f480,f98])).
% 1.94/0.61 fof(f489,plain,(
% 1.94/0.61 spl0_70 <=> ~pd0_5(sk0_19(sk0_16(sk0_10),sk0_10),X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f492,plain,(
% 1.94/0.61 ![X0]: (p2(sk0_16(sk0_10))|~pd0_5(sk0_19(sk0_16(sk0_10),sk0_10),X0)|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f424,f425])).
% 1.94/0.61 fof(f493,plain,(
% 1.94/0.61 spl0_68|spl0_70|~spl0_2),
% 1.94/0.61 inference(split_clause,[status(thm)],[f492,f477,f489,f98])).
% 1.94/0.61 fof(f500,plain,(
% 1.94/0.61 spl0_71 <=> ~r1(sk0_16(sk0_10),X0)|pd0_2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f501,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_16(sk0_10),X0)|pd0_2(X0)|~spl0_71)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f500])).
% 1.94/0.61 fof(f503,plain,(
% 1.94/0.61 spl0_72 <=> pd0_3(sk0_16(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f504,plain,(
% 1.94/0.61 pd0_3(sk0_16(sk0_10))|~spl0_72),
% 1.94/0.61 inference(component_clause,[status(thm)],[f503])).
% 1.94/0.61 fof(f506,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_16(sk0_10),X0)|pd0_2(X0)|pd0_3(sk0_16(sk0_10))|~p2(sk0_16(sk0_10))|~spl0_5|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f110,f425])).
% 1.94/0.61 fof(f507,plain,(
% 1.94/0.61 spl0_71|spl0_72|~spl0_68|~spl0_5|~spl0_2),
% 1.94/0.61 inference(split_clause,[status(thm)],[f506,f500,f503,f477,f109,f98])).
% 1.94/0.61 fof(f510,plain,(
% 1.94/0.61 spl0_73 <=> pd0_2(sk0_17(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f511,plain,(
% 1.94/0.61 pd0_2(sk0_17(sk0_10))|~spl0_73),
% 1.94/0.61 inference(component_clause,[status(thm)],[f510])).
% 1.94/0.61 fof(f513,plain,(
% 1.94/0.61 pd0_2(sk0_17(sk0_10))|~pd0_1(sk0_10)|~spl0_71),
% 1.94/0.61 inference(resolution,[status(thm)],[f501,f51])).
% 1.94/0.61 fof(f514,plain,(
% 1.94/0.61 spl0_73|~spl0_2|~spl0_71),
% 1.94/0.61 inference(split_clause,[status(thm)],[f513,f510,f98,f500])).
% 1.94/0.61 fof(f521,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_10,X0)|p2(X0)|r1(X0,sk0_18(X0,sk0_10))|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f54,f99])).
% 1.94/0.61 fof(f522,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_16(sk0_10),X0)|p2(X0)|r1(X0,sk0_26(X0,sk0_16(sk0_10)))|~spl0_72)),
% 1.94/0.61 inference(resolution,[status(thm)],[f75,f504])).
% 1.94/0.61 fof(f523,plain,(
% 1.94/0.61 spl0_74 <=> ~r1(sk0_16(sk0_10),X1)|~r1(X1,X2)|p2(X2)|~p2(X1)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f524,plain,(
% 1.94/0.61 ![X0,X1]: (~r1(sk0_16(sk0_10),X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~spl0_74)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f523])).
% 1.94/0.61 fof(f526,plain,(
% 1.94/0.61 ![X0,X1,X2]: (~r1(sk0_16(sk0_10),X0)|pd0_2(X0)|pd0_3(sk0_16(sk0_10))|~r1(sk0_16(sk0_10),X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~spl0_6|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f114,f425])).
% 1.94/0.61 fof(f527,plain,(
% 1.94/0.61 spl0_71|spl0_72|spl0_74|~spl0_6|~spl0_2),
% 1.94/0.61 inference(split_clause,[status(thm)],[f526,f500,f503,f523,f113,f98])).
% 1.94/0.61 fof(f547,plain,(
% 1.94/0.61 spl0_78 <=> p2(sk0_17(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f548,plain,(
% 1.94/0.61 p2(sk0_17(sk0_10))|~spl0_78),
% 1.94/0.61 inference(component_clause,[status(thm)],[f547])).
% 1.94/0.61 fof(f550,plain,(
% 1.94/0.61 spl0_79 <=> r1(sk0_17(sk0_10),sk0_22(sk0_17(sk0_10)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f551,plain,(
% 1.94/0.61 r1(sk0_17(sk0_10),sk0_22(sk0_17(sk0_10)))|~spl0_79),
% 1.94/0.61 inference(component_clause,[status(thm)],[f550])).
% 1.94/0.61 fof(f553,plain,(
% 1.94/0.61 p2(sk0_17(sk0_10))|r1(sk0_17(sk0_10),sk0_22(sk0_17(sk0_10)))|~spl0_73),
% 1.94/0.61 inference(resolution,[status(thm)],[f511,f65])).
% 1.94/0.61 fof(f554,plain,(
% 1.94/0.61 spl0_78|spl0_79|~spl0_73),
% 1.94/0.61 inference(split_clause,[status(thm)],[f553,f547,f550,f510])).
% 1.94/0.61 fof(f555,plain,(
% 1.94/0.61 spl0_80 <=> r1(sk0_16(sk0_10),sk0_18(sk0_16(sk0_10),sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f556,plain,(
% 1.94/0.61 r1(sk0_16(sk0_10),sk0_18(sk0_16(sk0_10),sk0_10))|~spl0_80),
% 1.94/0.61 inference(component_clause,[status(thm)],[f555])).
% 1.94/0.61 fof(f558,plain,(
% 1.94/0.61 p2(sk0_16(sk0_10))|r1(sk0_16(sk0_10),sk0_18(sk0_16(sk0_10),sk0_10))|~spl0_2),
% 1.94/0.61 inference(resolution,[status(thm)],[f521,f425])).
% 1.94/0.61 fof(f559,plain,(
% 1.94/0.61 spl0_68|spl0_80|~spl0_2),
% 1.94/0.61 inference(split_clause,[status(thm)],[f558,f477,f555,f98])).
% 1.94/0.61 fof(f581,plain,(
% 1.94/0.61 ~pd0_1(sk0_10)|~spl0_78),
% 1.94/0.61 inference(resolution,[status(thm)],[f548,f52])).
% 1.94/0.61 fof(f582,plain,(
% 1.94/0.61 $false|~spl0_2|~spl0_78),
% 1.94/0.61 inference(forward_subsumption_resolution,[status(thm)],[f581,f99])).
% 1.94/0.61 fof(f583,plain,(
% 1.94/0.61 ~spl0_2|~spl0_78),
% 1.94/0.61 inference(contradiction_clause,[status(thm)],[f582])).
% 1.94/0.61 fof(f593,plain,(
% 1.94/0.61 spl0_82 <=> p2(sk0_18(sk0_16(sk0_10),sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f595,plain,(
% 1.94/0.61 ~p2(sk0_18(sk0_16(sk0_10),sk0_10))|spl0_82),
% 1.94/0.61 inference(component_clause,[status(thm)],[f593])).
% 1.94/0.61 fof(f610,plain,(
% 1.94/0.61 spl0_85 <=> r1(sk0_17(sk0_10),sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f611,plain,(
% 1.94/0.61 r1(sk0_17(sk0_10),sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)))|~spl0_85),
% 1.94/0.61 inference(component_clause,[status(thm)],[f610])).
% 1.94/0.61 fof(f613,plain,(
% 1.94/0.61 p2(sk0_17(sk0_10))|r1(sk0_17(sk0_10),sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)))|~pd0_1(sk0_10)|~spl0_72),
% 1.94/0.61 inference(resolution,[status(thm)],[f522,f51])).
% 1.94/0.61 fof(f614,plain,(
% 1.94/0.61 spl0_78|spl0_85|~spl0_2|~spl0_72),
% 1.94/0.61 inference(split_clause,[status(thm)],[f613,f547,f610,f98,f503])).
% 1.94/0.61 fof(f619,plain,(
% 1.94/0.61 spl0_86 <=> ~r1(sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)),X0)|p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f620,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)),X0)|p2(X0)|~spl0_86)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f619])).
% 1.94/0.61 fof(f622,plain,(
% 1.94/0.61 spl0_87 <=> p2(sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f624,plain,(
% 1.94/0.61 ~p2(sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)))|spl0_87),
% 1.94/0.61 inference(component_clause,[status(thm)],[f622])).
% 1.94/0.61 fof(f625,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)),X0)|p2(X0)|~p2(sk0_26(sk0_17(sk0_10),sk0_16(sk0_10)))|~spl0_85|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f611,f422])).
% 1.94/0.61 fof(f626,plain,(
% 1.94/0.61 spl0_86|~spl0_87|~spl0_85|~spl0_2),
% 1.94/0.61 inference(split_clause,[status(thm)],[f625,f619,f622,f610,f98])).
% 1.94/0.61 fof(f627,plain,(
% 1.94/0.61 spl0_88 <=> p2(sk0_27(sk0_17(sk0_10),sk0_16(sk0_10)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f628,plain,(
% 1.94/0.61 p2(sk0_27(sk0_17(sk0_10),sk0_16(sk0_10)))|~spl0_88),
% 1.94/0.61 inference(component_clause,[status(thm)],[f627])).
% 1.94/0.61 fof(f630,plain,(
% 1.94/0.61 spl0_89 <=> r1(sk0_16(sk0_10),sk0_17(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f632,plain,(
% 1.94/0.61 ~r1(sk0_16(sk0_10),sk0_17(sk0_10))|spl0_89),
% 1.94/0.61 inference(component_clause,[status(thm)],[f630])).
% 1.94/0.61 fof(f633,plain,(
% 1.94/0.61 p2(sk0_27(sk0_17(sk0_10),sk0_16(sk0_10)))|~pd0_3(sk0_16(sk0_10))|~r1(sk0_16(sk0_10),sk0_17(sk0_10))|p2(sk0_17(sk0_10))|~spl0_86),
% 1.94/0.61 inference(resolution,[status(thm)],[f620,f76])).
% 1.94/0.61 fof(f634,plain,(
% 1.94/0.61 spl0_88|~spl0_72|~spl0_89|spl0_78|~spl0_86),
% 1.94/0.61 inference(split_clause,[status(thm)],[f633,f627,f503,f630,f547,f619])).
% 1.94/0.61 fof(f639,plain,(
% 1.94/0.61 ~pd0_3(sk0_16(sk0_10))|~r1(sk0_16(sk0_10),sk0_17(sk0_10))|p2(sk0_17(sk0_10))|~spl0_88),
% 1.94/0.61 inference(resolution,[status(thm)],[f628,f77])).
% 1.94/0.61 fof(f640,plain,(
% 1.94/0.61 ~spl0_72|~spl0_89|spl0_78|~spl0_88),
% 1.94/0.61 inference(split_clause,[status(thm)],[f639,f503,f630,f547,f627])).
% 1.94/0.61 fof(f649,plain,(
% 1.94/0.61 ~pd0_1(sk0_10)|spl0_89),
% 1.94/0.61 inference(resolution,[status(thm)],[f632,f51])).
% 1.94/0.61 fof(f650,plain,(
% 1.94/0.61 $false|~spl0_2|spl0_89),
% 1.94/0.61 inference(forward_subsumption_resolution,[status(thm)],[f649,f99])).
% 1.94/0.61 fof(f651,plain,(
% 1.94/0.61 ~spl0_2|spl0_89),
% 1.94/0.61 inference(contradiction_clause,[status(thm)],[f650])).
% 1.94/0.61 fof(f693,plain,(
% 1.94/0.61 ~pd0_3(sk0_16(sk0_10))|~r1(sk0_16(sk0_10),sk0_17(sk0_10))|p2(sk0_17(sk0_10))|spl0_87),
% 1.94/0.61 inference(resolution,[status(thm)],[f624,f78])).
% 1.94/0.61 fof(f694,plain,(
% 1.94/0.61 ~spl0_72|~spl0_89|spl0_78|spl0_87),
% 1.94/0.61 inference(split_clause,[status(thm)],[f693,f503,f630,f547,f622])).
% 1.94/0.61 fof(f733,plain,(
% 1.94/0.61 spl0_104 <=> ~r1(sk0_16(sk0_10),X0)|p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f734,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_16(sk0_10),X0)|p2(X0)|~spl0_104)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f733])).
% 1.94/0.61 fof(f736,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_16(sk0_10),X0)|p2(X0)|~p2(sk0_16(sk0_10))|~spl0_4|~spl0_2)),
% 1.94/0.61 inference(resolution,[status(thm)],[f106,f425])).
% 1.94/0.61 fof(f737,plain,(
% 1.94/0.61 spl0_104|~spl0_68|~spl0_4|~spl0_2),
% 1.94/0.61 inference(split_clause,[status(thm)],[f736,f733,f477,f105,f98])).
% 1.94/0.61 fof(f747,plain,(
% 1.94/0.61 spl0_105 <=> p2(sk0_5(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f749,plain,(
% 1.94/0.61 ~p2(sk0_5(sk0_10))|spl0_105),
% 1.94/0.61 inference(component_clause,[status(thm)],[f747])).
% 1.94/0.61 fof(f823,plain,(
% 1.94/0.61 spl0_119 <=> p2(sk0_11(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f824,plain,(
% 1.94/0.61 p2(sk0_11(sk0_10))|~spl0_119),
% 1.94/0.61 inference(component_clause,[status(thm)],[f823])).
% 1.94/0.61 fof(f826,plain,(
% 1.94/0.61 spl0_120 <=> r1(sk0_11(sk0_10),sk0_18(sk0_11(sk0_10),sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f827,plain,(
% 1.94/0.61 r1(sk0_11(sk0_10),sk0_18(sk0_11(sk0_10),sk0_10))|~spl0_120),
% 1.94/0.61 inference(component_clause,[status(thm)],[f826])).
% 1.94/0.61 fof(f829,plain,(
% 1.94/0.61 p2(sk0_11(sk0_10))|r1(sk0_11(sk0_10),sk0_18(sk0_11(sk0_10),sk0_10))|~spl0_62|~spl0_2),
% 1.94/0.61 inference(resolution,[status(thm)],[f452,f521])).
% 1.94/0.61 fof(f830,plain,(
% 1.94/0.61 spl0_119|spl0_120|~spl0_62|~spl0_2),
% 1.94/0.61 inference(split_clause,[status(thm)],[f829,f823,f826,f451,f98])).
% 1.94/0.61 fof(f858,plain,(
% 1.94/0.61 spl0_125 <=> p2(sk0_13(sk0_0))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f859,plain,(
% 1.94/0.61 p2(sk0_13(sk0_0))|~spl0_125),
% 1.94/0.61 inference(component_clause,[status(thm)],[f858])).
% 1.94/0.61 fof(f899,plain,(
% 1.94/0.61 spl0_134 <=> r1(sk0_13(sk0_0),sk0_5(sk0_13(sk0_0)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f900,plain,(
% 1.94/0.61 r1(sk0_13(sk0_0),sk0_5(sk0_13(sk0_0)))|~spl0_134),
% 1.94/0.61 inference(component_clause,[status(thm)],[f899])).
% 1.94/0.61 fof(f902,plain,(
% 1.94/0.61 p2(sk0_13(sk0_0))|r1(sk0_13(sk0_0),sk0_5(sk0_13(sk0_0)))|~spl0_46),
% 1.94/0.61 inference(resolution,[status(thm)],[f349,f19])).
% 1.94/0.61 fof(f903,plain,(
% 1.94/0.61 spl0_125|spl0_134|~spl0_46),
% 1.94/0.61 inference(split_clause,[status(thm)],[f902,f858,f899,f348])).
% 1.94/0.61 fof(f1026,plain,(
% 1.94/0.61 p2(sk0_17(sk0_10))|~pd0_1(sk0_10)|~spl0_104),
% 1.94/0.61 inference(resolution,[status(thm)],[f734,f51])).
% 1.94/0.61 fof(f1027,plain,(
% 1.94/0.61 spl0_78|~spl0_2|~spl0_104),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1026,f547,f98,f733])).
% 1.94/0.61 fof(f1058,plain,(
% 1.94/0.61 spl0_165 <=> p2(sk0_6(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1059,plain,(
% 1.94/0.61 p2(sk0_6(sk0_10))|~spl0_165),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1058])).
% 1.94/0.61 fof(f1156,plain,(
% 1.94/0.61 spl0_181 <=> ~r1(sk0_18(sk0_11(sk0_10),sk0_10),X0)|p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1157,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_18(sk0_11(sk0_10),sk0_10),X0)|p2(X0)|~spl0_181)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1156])).
% 1.94/0.61 fof(f1159,plain,(
% 1.94/0.61 spl0_182 <=> p2(sk0_18(sk0_11(sk0_10),sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1161,plain,(
% 1.94/0.61 ~p2(sk0_18(sk0_11(sk0_10),sk0_10))|spl0_182),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1159])).
% 1.94/0.61 fof(f1162,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_18(sk0_11(sk0_10),sk0_10),X0)|p2(X0)|~p2(sk0_18(sk0_11(sk0_10),sk0_10))|~spl0_120|~spl0_57)),
% 1.94/0.61 inference(resolution,[status(thm)],[f827,f427])).
% 1.94/0.61 fof(f1163,plain,(
% 1.94/0.61 spl0_181|~spl0_182|~spl0_120|~spl0_57),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1162,f1156,f1159,f826,f426])).
% 1.94/0.61 fof(f1165,plain,(
% 1.94/0.61 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_11(sk0_10))|p2(sk0_11(sk0_10))|spl0_182),
% 1.94/0.61 inference(resolution,[status(thm)],[f1161,f57])).
% 1.94/0.61 fof(f1166,plain,(
% 1.94/0.61 ~spl0_2|~spl0_62|spl0_119|spl0_182),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1165,f98,f451,f823,f1159])).
% 1.94/0.61 fof(f1169,plain,(
% 1.94/0.61 spl0_183 <=> p2(sk0_19(sk0_11(sk0_10),sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1170,plain,(
% 1.94/0.61 p2(sk0_19(sk0_11(sk0_10),sk0_10))|~spl0_183),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1169])).
% 1.94/0.61 fof(f1172,plain,(
% 1.94/0.61 p2(sk0_19(sk0_11(sk0_10),sk0_10))|~pd0_1(sk0_10)|~r1(sk0_10,sk0_11(sk0_10))|p2(sk0_11(sk0_10))|~spl0_181),
% 1.94/0.61 inference(resolution,[status(thm)],[f1157,f55])).
% 1.94/0.61 fof(f1173,plain,(
% 1.94/0.61 spl0_183|~spl0_2|~spl0_62|spl0_119|~spl0_181),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1172,f1169,f98,f451,f823,f1156])).
% 1.94/0.61 fof(f1178,plain,(
% 1.94/0.61 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_11(sk0_10))|p2(sk0_11(sk0_10))|~spl0_183),
% 1.94/0.61 inference(resolution,[status(thm)],[f1170,f56])).
% 1.94/0.61 fof(f1179,plain,(
% 1.94/0.61 ~spl0_2|~spl0_62|spl0_119|~spl0_183),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1178,f98,f451,f823,f1169])).
% 1.94/0.61 fof(f1491,plain,(
% 1.94/0.61 ~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_119),
% 1.94/0.61 inference(resolution,[status(thm)],[f824,f35])).
% 1.94/0.61 fof(f1492,plain,(
% 1.94/0.61 ~spl0_1|spl0_3|~spl0_119),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1491,f94,f101,f823])).
% 1.94/0.61 fof(f1493,plain,(
% 1.94/0.61 ![X0,X1]: (~pd0_0(sk0_0)|~r1(sk0_0,X0)|~r1(X0,X1)|p2(X1)|pd0_4(sk0_12(X1,X0,sk0_0),X1)|~spl0_125)),
% 1.94/0.61 inference(resolution,[status(thm)],[f859,f42])).
% 1.94/0.61 fof(f1494,plain,(
% 1.94/0.61 ~spl0_0|spl0_45|~spl0_125),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1493,f91,f345,f858])).
% 1.94/0.61 fof(f1495,plain,(
% 1.94/0.61 ~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_165),
% 1.94/0.61 inference(resolution,[status(thm)],[f1059,f21])).
% 1.94/0.61 fof(f1496,plain,(
% 1.94/0.61 ~spl0_1|spl0_3|~spl0_165),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1495,f94,f101,f1058])).
% 1.94/0.61 fof(f1505,plain,(
% 1.94/0.61 spl0_215 <=> ~r1(sk0_5(sk0_13(sk0_0)),X0)|p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1506,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_5(sk0_13(sk0_0)),X0)|p2(X0)|~spl0_215)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1505])).
% 1.94/0.61 fof(f1508,plain,(
% 1.94/0.61 spl0_216 <=> p2(sk0_5(sk0_13(sk0_0)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1510,plain,(
% 1.94/0.61 ~p2(sk0_5(sk0_13(sk0_0)))|spl0_216),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1508])).
% 1.94/0.61 fof(f1511,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_5(sk0_13(sk0_0)),X0)|p2(X0)|~p2(sk0_5(sk0_13(sk0_0)))|~spl0_134|~spl0_53)),
% 1.94/0.61 inference(resolution,[status(thm)],[f900,f401])).
% 1.94/0.61 fof(f1512,plain,(
% 1.94/0.61 spl0_215|~spl0_216|~spl0_134|~spl0_53),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1511,f1505,f1508,f899,f400])).
% 1.94/0.61 fof(f1522,plain,(
% 1.94/0.61 spl0_218 <=> p2(sk0_6(sk0_13(sk0_0)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1523,plain,(
% 1.94/0.61 p2(sk0_6(sk0_13(sk0_0)))|~spl0_218),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1522])).
% 1.94/0.61 fof(f1525,plain,(
% 1.94/0.61 p2(sk0_6(sk0_13(sk0_0)))|~r1(sk0_0,sk0_13(sk0_0))|p2(sk0_13(sk0_0))|~spl0_215),
% 1.94/0.61 inference(resolution,[status(thm)],[f1506,f20])).
% 1.94/0.61 fof(f1526,plain,(
% 1.94/0.61 spl0_218|~spl0_46|spl0_125|~spl0_215),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1525,f1522,f348,f858,f1505])).
% 1.94/0.61 fof(f1533,plain,(
% 1.94/0.61 ~r1(sk0_0,sk0_13(sk0_0))|p2(sk0_13(sk0_0))|spl0_216),
% 1.94/0.61 inference(resolution,[status(thm)],[f1510,f22])).
% 1.94/0.61 fof(f1534,plain,(
% 1.94/0.61 ~spl0_46|spl0_125|spl0_216),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1533,f348,f858,f1508])).
% 1.94/0.61 fof(f1537,plain,(
% 1.94/0.61 ~r1(sk0_0,sk0_13(sk0_0))|p2(sk0_13(sk0_0))|~spl0_218),
% 1.94/0.61 inference(resolution,[status(thm)],[f1523,f21])).
% 1.94/0.61 fof(f1538,plain,(
% 1.94/0.61 ~spl0_46|spl0_125|~spl0_218),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1537,f348,f858,f1522])).
% 1.94/0.61 fof(f1621,plain,(
% 1.94/0.61 spl0_235 <=> p2(sk0_23(sk0_17(sk0_10)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1622,plain,(
% 1.94/0.61 p2(sk0_23(sk0_17(sk0_10)))|~spl0_235),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1621])).
% 1.94/0.61 fof(f1630,plain,(
% 1.94/0.61 ~pd0_2(sk0_17(sk0_10))|p2(sk0_17(sk0_10))|~spl0_235),
% 1.94/0.61 inference(resolution,[status(thm)],[f1622,f67])).
% 1.94/0.61 fof(f1631,plain,(
% 1.94/0.61 ~spl0_73|spl0_78|~spl0_235),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1630,f510,f547,f1621])).
% 1.94/0.61 fof(f1632,plain,(
% 1.94/0.61 spl0_236 <=> ~r1(sk0_22(sk0_17(sk0_10)),X0)|p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1633,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_22(sk0_17(sk0_10)),X0)|p2(X0)|~spl0_236)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1632])).
% 1.94/0.61 fof(f1635,plain,(
% 1.94/0.61 spl0_237 <=> p2(sk0_22(sk0_17(sk0_10)))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1637,plain,(
% 1.94/0.61 ~p2(sk0_22(sk0_17(sk0_10)))|spl0_237),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1635])).
% 1.94/0.61 fof(f1638,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_22(sk0_17(sk0_10)),X0)|p2(X0)|~p2(sk0_22(sk0_17(sk0_10)))|~spl0_2|~spl0_79)),
% 1.94/0.61 inference(resolution,[status(thm)],[f422,f551])).
% 1.94/0.61 fof(f1639,plain,(
% 1.94/0.61 spl0_236|~spl0_237|~spl0_2|~spl0_79),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1638,f1632,f1635,f98,f550])).
% 1.94/0.61 fof(f1642,plain,(
% 1.94/0.61 p2(sk0_23(sk0_17(sk0_10)))|~pd0_2(sk0_17(sk0_10))|p2(sk0_17(sk0_10))|~spl0_236),
% 1.94/0.61 inference(resolution,[status(thm)],[f1633,f66])).
% 1.94/0.61 fof(f1643,plain,(
% 1.94/0.61 spl0_235|~spl0_73|spl0_78|~spl0_236),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1642,f1621,f510,f547,f1632])).
% 1.94/0.61 fof(f1648,plain,(
% 1.94/0.61 ~pd0_2(sk0_17(sk0_10))|p2(sk0_17(sk0_10))|spl0_237),
% 1.94/0.61 inference(resolution,[status(thm)],[f1637,f68])).
% 1.94/0.61 fof(f1649,plain,(
% 1.94/0.61 ~spl0_73|spl0_78|spl0_237),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1648,f510,f547,f1635])).
% 1.94/0.61 fof(f1669,plain,(
% 1.94/0.61 spl0_238 <=> ~r1(sk0_18(sk0_16(sk0_10),sk0_10),X0)|p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1670,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_18(sk0_16(sk0_10),sk0_10),X0)|p2(X0)|~spl0_238)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1669])).
% 1.94/0.61 fof(f1672,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_18(sk0_16(sk0_10),sk0_10),X0)|p2(X0)|~p2(sk0_18(sk0_16(sk0_10),sk0_10))|~spl0_74|~spl0_80)),
% 1.94/0.61 inference(resolution,[status(thm)],[f524,f556])).
% 1.94/0.61 fof(f1673,plain,(
% 1.94/0.61 spl0_238|~spl0_82|~spl0_74|~spl0_80),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1672,f1669,f593,f523,f555])).
% 1.94/0.61 fof(f1682,plain,(
% 1.94/0.61 spl0_239 <=> p2(sk0_19(sk0_16(sk0_10),sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1683,plain,(
% 1.94/0.61 p2(sk0_19(sk0_16(sk0_10),sk0_10))|~spl0_239),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1682])).
% 1.94/0.61 fof(f1685,plain,(
% 1.94/0.61 spl0_240 <=> r1(sk0_10,sk0_16(sk0_10))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1687,plain,(
% 1.94/0.61 ~r1(sk0_10,sk0_16(sk0_10))|spl0_240),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1685])).
% 1.94/0.61 fof(f1688,plain,(
% 1.94/0.61 p2(sk0_19(sk0_16(sk0_10),sk0_10))|~pd0_1(sk0_10)|~r1(sk0_10,sk0_16(sk0_10))|p2(sk0_16(sk0_10))|~spl0_238),
% 1.94/0.61 inference(resolution,[status(thm)],[f1670,f55])).
% 1.94/0.61 fof(f1689,plain,(
% 1.94/0.61 spl0_239|~spl0_2|~spl0_240|spl0_68|~spl0_238),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1688,f1682,f98,f1685,f477,f1669])).
% 1.94/0.61 fof(f1694,plain,(
% 1.94/0.61 $false|~spl0_2|spl0_240),
% 1.94/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1687,f425])).
% 1.94/0.61 fof(f1695,plain,(
% 1.94/0.61 ~spl0_2|spl0_240),
% 1.94/0.61 inference(contradiction_clause,[status(thm)],[f1694])).
% 1.94/0.61 fof(f1696,plain,(
% 1.94/0.61 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_16(sk0_10))|p2(sk0_16(sk0_10))|~spl0_239),
% 1.94/0.61 inference(resolution,[status(thm)],[f1683,f56])).
% 1.94/0.61 fof(f1697,plain,(
% 1.94/0.61 ~spl0_2|~spl0_240|spl0_68|~spl0_239),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1696,f98,f1685,f477,f1682])).
% 1.94/0.61 fof(f1698,plain,(
% 1.94/0.61 ~pd0_1(sk0_10)|~r1(sk0_10,sk0_16(sk0_10))|p2(sk0_16(sk0_10))|spl0_82),
% 1.94/0.61 inference(resolution,[status(thm)],[f595,f57])).
% 1.94/0.61 fof(f1699,plain,(
% 1.94/0.61 ~spl0_2|~spl0_240|spl0_68|spl0_82),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1698,f98,f1685,f477,f593])).
% 1.94/0.61 fof(f1724,plain,(
% 1.94/0.61 spl0_241 <=> ~r1(sk0_5(sk0_10),X0)|p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1725,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_5(sk0_10),X0)|p2(X0)|~spl0_241)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1724])).
% 1.94/0.61 fof(f1727,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_5(sk0_10),X0)|p2(X0)|~p2(sk0_5(sk0_10))|~spl0_4|~spl0_65)),
% 1.94/0.61 inference(resolution,[status(thm)],[f106,f465])).
% 1.94/0.61 fof(f1728,plain,(
% 1.94/0.61 spl0_241|~spl0_105|~spl0_4|~spl0_65),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1727,f1724,f747,f105,f464])).
% 1.94/0.61 fof(f1752,plain,(
% 1.94/0.61 p2(sk0_6(sk0_10))|~r1(sk0_0,sk0_10)|p2(sk0_10)|~spl0_241),
% 1.94/0.61 inference(resolution,[status(thm)],[f1725,f20])).
% 1.94/0.61 fof(f1753,plain,(
% 1.94/0.61 spl0_165|~spl0_1|spl0_3|~spl0_241),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1752,f1058,f94,f101,f1724])).
% 1.94/0.61 fof(f1806,plain,(
% 1.94/0.61 ~r1(sk0_0,sk0_10)|p2(sk0_10)|spl0_105),
% 1.94/0.61 inference(resolution,[status(thm)],[f749,f22])).
% 1.94/0.61 fof(f1807,plain,(
% 1.94/0.61 ~spl0_1|spl0_3|spl0_105),
% 1.94/0.61 inference(split_clause,[status(thm)],[f1806,f94,f101,f747])).
% 1.94/0.61 fof(f1975,plain,(
% 1.94/0.61 spl0_266 <=> r1(sk0_0,sk0_7)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1977,plain,(
% 1.94/0.61 ~r1(sk0_0,sk0_7)|spl0_266),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1975])).
% 1.94/0.61 fof(f1980,plain,(
% 1.94/0.61 $false|spl0_266),
% 1.94/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1977,f23])).
% 1.94/0.61 fof(f1981,plain,(
% 1.94/0.61 spl0_266),
% 1.94/0.61 inference(contradiction_clause,[status(thm)],[f1980])).
% 1.94/0.61 fof(f1982,plain,(
% 1.94/0.61 spl0_267 <=> r1(sk0_0,sk0_1)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f1984,plain,(
% 1.94/0.61 ~r1(sk0_0,sk0_1)|spl0_267),
% 1.94/0.61 inference(component_clause,[status(thm)],[f1982])).
% 1.94/0.61 fof(f1987,plain,(
% 1.94/0.61 $false|spl0_267),
% 1.94/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1984,f11])).
% 1.94/0.61 fof(f1988,plain,(
% 1.94/0.61 spl0_267),
% 1.94/0.61 inference(contradiction_clause,[status(thm)],[f1987])).
% 1.94/0.61 fof(f2046,plain,(
% 1.94/0.61 r1(sk0_11(sk0_4),sk0_12(sk0_11(sk0_4),sk0_4,sk0_0))|~spl0_48),
% 1.94/0.61 inference(resolution,[status(thm)],[f370,f81])).
% 1.94/0.61 fof(f2048,plain,(
% 1.94/0.61 spl0_278 <=> ~r1(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),X0)|p2(X0)),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f2049,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),X0)|p2(X0)|~spl0_278)),
% 1.94/0.61 inference(component_clause,[status(thm)],[f2048])).
% 1.94/0.61 fof(f2051,plain,(
% 1.94/0.61 spl0_279 <=> p2(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0))),
% 1.94/0.61 introduced(split_symbol_definition)).
% 1.94/0.61 fof(f2053,plain,(
% 1.94/0.61 ~p2(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0))|spl0_279),
% 1.94/0.61 inference(component_clause,[status(thm)],[f2051])).
% 1.94/0.61 fof(f2054,plain,(
% 1.94/0.61 ![X0]: (~r1(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),X0)|p2(X0)|~p2(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0))|~spl0_48|~spl0_43)),
% 1.94/0.61 inference(resolution,[status(thm)],[f2046,f332])).
% 1.94/0.61 fof(f2055,plain,(
% 1.94/0.61 spl0_278|~spl0_279|~spl0_48|~spl0_43),
% 1.94/0.61 inference(split_clause,[status(thm)],[f2054,f2048,f2051,f369,f331])).
% 1.94/0.61 fof(f2057,plain,(
% 1.94/0.61 ![X0]: (~pd0_4(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),X0)|spl0_279)),
% 1.94/0.61 inference(resolution,[status(thm)],[f2053,f84])).
% 1.94/0.61 fof(f2060,plain,(
% 1.94/0.61 ![X0]: (p2(sk0_28(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),X0))|~pd0_4(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),X0)|~spl0_278)),
% 1.94/0.61 inference(resolution,[status(thm)],[f2049,f82])).
% 1.94/0.61 fof(f2061,plain,(
% 1.94/0.61 ![X0]: (~pd0_4(sk0_12(sk0_11(sk0_4),sk0_4,sk0_0),X0)|~spl0_278)),
% 1.94/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2060,f83])).
% 1.94/0.61 fof(f2068,plain,(
% 1.94/0.61 $false|spl0_279|~spl0_48),
% 1.94/0.61 inference(backward_subsumption_resolution,[status(thm)],[f370,f2057])).
% 1.94/0.61 fof(f2069,plain,(
% 1.94/0.61 spl0_279|~spl0_48),
% 1.94/0.61 inference(contradiction_clause,[status(thm)],[f2068])).
% 1.94/0.61 fof(f2209,plain,(
% 1.94/0.61 $false|~spl0_278|~spl0_48),
% 1.94/0.61 inference(forward_subsumption_resolution,[status(thm)],[f370,f2061])).
% 1.94/0.61 fof(f2210,plain,(
% 1.94/0.61 ~spl0_278|~spl0_48),
% 1.94/0.61 inference(contradiction_clause,[status(thm)],[f2209])).
% 1.94/0.61 fof(f2211,plain,(
% 1.94/0.61 $false),
% 1.94/0.61 inference(sat_refutation,[status(thm)],[f97,f104,f108,f112,f116,f150,f152,f182,f196,f208,f236,f255,f274,f293,f312,f335,f352,f373,f404,f406,f419,f421,f430,f455,f468,f484,f493,f507,f514,f527,f554,f559,f583,f614,f626,f634,f640,f651,f694,f737,f830,f903,f1027,f1163,f1166,f1173,f1179,f1492,f1494,f1496,f1512,f1526,f1534,f1538,f1631,f1639,f1643,f1649,f1673,f1689,f1695,f1697,f1699,f1728,f1753,f1807,f1981,f1988,f2055,f2069,f2210])).
% 1.94/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 1.94/0.63 % Elapsed time: 0.269792 seconds
% 1.94/0.63 % CPU time: 2.026115 seconds
% 1.94/0.63 % Total memory used: 38.518 MB
% 1.94/0.63 % Net memory used: 37.820 MB
%------------------------------------------------------------------------------