TSTP Solution File: LCL652+1.001 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:19:54 EDT 2023
% Result : Theorem 1.84s 0.71s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n001.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:15:00 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 1.84/0.71 % Refutation found
% 1.84/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.84/0.71 % SZS output start CNFRefutation for theBenchmark
% 1.84/0.71 fof(f1,conjecture,(
% 1.84/0.71 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ p4(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )) )))& (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )) )) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p3(X) ))| ~ p2(Y) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ ( (! [X] :( ~ r1(Y,X)| p3(X) ))| ~ p2(Y) ) ))& p2(X)& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p2(Y) ) )) )) )) ))| ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ p2(X) ) )) )))& (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p2(Y) ) )) ))| ~ (! [X] :( ~ r1(Y,X)| ~ ( (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p2(X) ) )))& (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p3(X) ))| ~ p2(Y) ) )) )) )) ))| ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ p2(X) ))& (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p2(Y) ) )) )) ) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )) )) )),
% 1.84/0.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.84/0.71 fof(f2,negated_conjecture,(
% 1.84/0.71 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ p4(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )) )))& (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )) )) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p3(X) ))| ~ p2(Y) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ ( (! [X] :( ~ r1(Y,X)| p3(X) ))| ~ p2(Y) ) ))& p2(X)& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p2(Y) ) )) )) )) ))| ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ p2(X) ) )) )))& (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p2(Y) ) )) ))| ~ (! [X] :( ~ r1(Y,X)| ~ ( (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ p2(X) ) )))& (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p3(X) ))| ~ p2(Y) ) )) )) )) ))| ( (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| ~ p2(X) ))& (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| ~ p2(Y) ) )) )) ) ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))& (! [X] :( ~ r1(Y,X)| p1(X) ) )) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )))| (! [X] :( ~ r1(Y,X)| p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ (! [Y] :( ~ r1(X,Y)| p2(Y) ) )) )))| ~ (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| ~ p1(Y) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )) )) ))),
% 1.84/0.71 inference(negated_conjecture,[status(cth)],[f1])).
% 1.84/0.71 fof(f3,plain,(
% 1.84/0.71 ?[X]: (((((((![Y]: (~r1(X,Y)|~p4(Y)))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&p1(X)))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p1(Y)))))))))&(![Y]: (~r1(X,Y)|(((((![X]: (~r1(Y,X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p3(X))))&p2(Y)))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|((?[X]: (r1(Y,X)&~p3(X)))&p2(Y))))|~p2(X))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p2(Y)))))))))))&((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p2(X)))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p2(Y)))))))&(![X]: (~r1(Y,X)|((?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|~p2(X)))))|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p3(X))))&p2(Y)))))))))))&((?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p2(X)))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p2(Y))))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,X)&~p1(X)))))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p2(Y))))))))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|~p1(Y))))))|(?[X]: (r1(Y,X)&p1(X))))))),
% 1.84/0.72 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.84/0.72 fof(f4,plain,(
% 1.84/0.72 ![Y,X]: (pd0_0(X,Y)=>(r1(Y,X)&p1(X)))),
% 1.84/0.72 introduced(predicate_definition,[f3])).
% 1.84/0.72 fof(f5,plain,(
% 1.84/0.72 ![Y,X]: (pd0_1(X,Y)=>((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p2(X)))),
% 1.84/0.72 introduced(predicate_definition,[f3])).
% 1.84/0.72 fof(f6,plain,(
% 1.84/0.72 ![X,Y]: (pd0_2(Y,X)=>(r1(X,Y)&(![X]: (~r1(Y,X)|~p2(X)))))),
% 1.84/0.72 introduced(predicate_definition,[f3])).
% 1.84/0.72 fof(f7,plain,(
% 1.84/0.72 ![Y,X]: (pd0_3(X,Y)=>((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p2(X)))),
% 1.84/0.72 introduced(predicate_definition,[f3])).
% 1.84/0.72 fof(f8,plain,(
% 1.84/0.72 ?[X]: (((((((![Y]: (~r1(X,Y)|~p4(Y)))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: pd0_0(X,Y))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p1(Y)))))))))&(![Y]: (~r1(X,Y)|(((((![X]: (~r1(Y,X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p3(X))))&p2(Y)))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|((?[X]: (r1(Y,X)&~p3(X)))&p2(Y))))|~p2(X))|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p2(Y)))))))))))&((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|(?[X]: pd0_1(X,Y))))))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p2(Y)))))))&(![X]: (~r1(Y,X)|((?[Y]: pd0_2(Y,X))|(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&~p3(X))))&p2(Y)))))))))))&((?[X]: pd0_3(X,Y))|(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|~p2(Y))))))))))&(![Y]: (~r1(X,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(?[X]: (r1(Y,X)&~p1(X)))))))&(?[Y]: ((r1(X,Y)&(?[X]: (r1(Y,X)&(![Y]: (~r1(X,Y)|p1(Y))))))&(?[X]: (r1(Y,X)&~p1(X))))))&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|(?[Y]: (r1(X,Y)&~p2(Y))))))))&(![Y]: ((~r1(X,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|~p1(Y))))))|(?[X]: (r1(Y,X)&p1(X))))))),
% 1.84/0.72 inference(formula_renaming,[status(thm)],[f3,f7,f6,f5,f4])).
% 1.84/0.72 fof(f9,plain,(
% 1.84/0.72 (((((((![Y]: (~r1(sk0_0,Y)|~p4(Y)))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_0(sk0_1(Y,X,Y),Y)))))|(r1(Y,sk0_2(Y))&(![Y]: (~r1(sk0_2(Y),Y)|~p1(Y))))))))&(![Y]: (~r1(sk0_0,Y)|(((((![X]: (~r1(Y,X)|((r1(X,sk0_3(X,Y))&(r1(sk0_3(X,Y),sk0_4(X,Y))&~p3(sk0_4(X,Y))))&p2(sk0_3(X,Y)))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|((r1(Y,sk0_5(Y,X,Y))&~p3(sk0_5(Y,X,Y)))&p2(Y))))|~p2(X))|(![Y]: (~r1(X,Y)|(r1(Y,sk0_6(Y,X,Y))&(![Y]: (~r1(sk0_6(Y,X,Y),Y)|~p2(Y))))))))))&((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|pd0_1(sk0_7(Y,X,Y),Y)))))|(r1(Y,sk0_8(Y))&(![Y]: (~r1(sk0_8(Y),Y)|~p2(Y))))))&(![X]: (~r1(Y,X)|(pd0_2(sk0_9(X,Y),X)|(r1(X,sk0_10(X,Y))&(![X]: (~r1(sk0_10(X,Y),X)|((r1(X,sk0_11(X,X,Y))&(r1(sk0_11(X,X,Y),sk0_12(X,X,Y))&~p3(sk0_12(X,X,Y))))&p2(sk0_11(X,X,Y))))))))))&(pd0_3(sk0_13(Y),Y)|(r1(Y,sk0_14(Y))&(![Y]: (~r1(sk0_14(Y),Y)|~p2(Y)))))))))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|p1(Y)))))|(r1(Y,sk0_15(Y))&~p1(sk0_15(Y)))))))&((r1(sk0_0,sk0_16)&(r1(sk0_16,sk0_17)&(![Y]: (~r1(sk0_17,Y)|p1(Y)))))&(r1(sk0_16,sk0_18)&~p1(sk0_18))))&(r1(sk0_0,sk0_19)&(![X]: (~r1(sk0_19,X)|(r1(X,sk0_20(X))&~p2(sk0_20(X)))))))&(![Y]: ((~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|~p1(Y))))))|(r1(Y,sk0_21(Y))&p1(sk0_21(Y))))))),
% 1.84/0.72 inference(skolemization,[status(esa)],[f8])).
% 1.84/0.72 fof(f13,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|r1(X1,sk0_3(X1,X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f16,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(sk0_3(X1,X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f21,plain,(
% 1.84/0.72 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~r1(X1,X3)|r1(X3,sk0_6(X3,X1,X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f22,plain,(
% 1.84/0.72 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~r1(X1,X3)|~r1(sk0_6(X3,X1,X0),X4)|~p2(X4))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f23,plain,(
% 1.84/0.72 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|pd0_1(sk0_7(X2,X1,X0),X2)|r1(X0,sk0_8(X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f24,plain,(
% 1.84/0.72 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|pd0_1(sk0_7(X2,X1,X0),X2)|~r1(sk0_8(X0),X3)|~p2(X3))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f25,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|pd0_2(sk0_9(X1,X0),X1)|r1(X1,sk0_10(X1,X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f26,plain,(
% 1.84/0.72 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|pd0_2(sk0_9(X1,X0),X1)|~r1(sk0_10(X1,X0),X2)|r1(X2,sk0_11(X2,X1,X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f29,plain,(
% 1.84/0.72 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,X1)|pd0_2(sk0_9(X1,X0),X1)|~r1(sk0_10(X1,X0),X2)|p2(sk0_11(X2,X1,X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f30,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_0,X0)|pd0_3(sk0_13(X0),X0)|r1(X0,sk0_14(X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f31,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_0,X0)|pd0_3(sk0_13(X0),X0)|~r1(sk0_14(X0),X1)|~p2(X1))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f34,plain,(
% 1.84/0.72 r1(sk0_0,sk0_16)),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f39,plain,(
% 1.84/0.72 r1(sk0_0,sk0_19)),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f40,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_19,X0)|r1(X0,sk0_20(X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f41,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_19,X0)|~p2(sk0_20(X0)))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f9])).
% 1.84/0.72 fof(f47,plain,(
% 1.84/0.72 ![Y,X]: (~pd0_1(X,Y)|((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p2(X)))),
% 1.84/0.72 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 1.84/0.72 fof(f48,plain,(
% 1.84/0.72 ![Y,X]: (~pd0_1(X,Y)|((r1(Y,X)&(r1(X,sk0_22(X,Y))&~p3(sk0_22(X,Y))))&p2(X)))),
% 1.84/0.72 inference(skolemization,[status(esa)],[f47])).
% 1.84/0.72 fof(f49,plain,(
% 1.84/0.72 ![X0,X1]: (~pd0_1(X0,X1)|r1(X1,X0))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f48])).
% 1.84/0.72 fof(f52,plain,(
% 1.84/0.72 ![X0,X1]: (~pd0_1(X0,X1)|p2(X0))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f48])).
% 1.84/0.72 fof(f53,plain,(
% 1.84/0.72 ![X,Y]: (~pd0_2(Y,X)|(r1(X,Y)&(![X]: (~r1(Y,X)|~p2(X)))))),
% 1.84/0.72 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 1.84/0.72 fof(f54,plain,(
% 1.84/0.72 ![X0,X1]: (~pd0_2(X0,X1)|r1(X1,X0))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f53])).
% 1.84/0.72 fof(f55,plain,(
% 1.84/0.72 ![X0,X1,X2]: (~pd0_2(X0,X1)|~r1(X0,X2)|~p2(X2))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f53])).
% 1.84/0.72 fof(f56,plain,(
% 1.84/0.72 ![Y,X]: (~pd0_3(X,Y)|((r1(Y,X)&(?[Y]: (r1(X,Y)&~p3(Y))))&p2(X)))),
% 1.84/0.72 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 1.84/0.72 fof(f57,plain,(
% 1.84/0.72 ![Y,X]: (~pd0_3(X,Y)|((r1(Y,X)&(r1(X,sk0_23(X,Y))&~p3(sk0_23(X,Y))))&p2(X)))),
% 1.84/0.72 inference(skolemization,[status(esa)],[f56])).
% 1.84/0.72 fof(f58,plain,(
% 1.84/0.72 ![X0,X1]: (~pd0_3(X0,X1)|r1(X1,X0))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f57])).
% 1.84/0.72 fof(f61,plain,(
% 1.84/0.72 ![X0,X1]: (~pd0_3(X0,X1)|p2(X0))),
% 1.84/0.72 inference(cnf_transformation,[status(esa)],[f57])).
% 1.84/0.72 fof(f81,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_19,X0)|r1(X0,sk0_3(X0,sk0_19)))),
% 1.84/0.72 inference(resolution,[status(thm)],[f13,f39])).
% 1.84/0.72 fof(f91,plain,(
% 1.84/0.72 ![X0,X1,X2,X3]: (~pd0_2(X0,X1)|~r1(X0,X2)|~pd0_1(X2,X3))),
% 1.84/0.72 inference(resolution,[status(thm)],[f55,f52])).
% 1.84/0.72 fof(f102,plain,(
% 1.84/0.72 spl0_4 <=> pd0_3(sk0_13(sk0_19),sk0_19)),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f103,plain,(
% 1.84/0.72 pd0_3(sk0_13(sk0_19),sk0_19)|~spl0_4),
% 1.84/0.72 inference(component_clause,[status(thm)],[f102])).
% 1.84/0.72 fof(f105,plain,(
% 1.84/0.72 spl0_5 <=> r1(sk0_19,sk0_14(sk0_19))),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f106,plain,(
% 1.84/0.72 r1(sk0_19,sk0_14(sk0_19))|~spl0_5),
% 1.84/0.72 inference(component_clause,[status(thm)],[f105])).
% 1.84/0.72 fof(f108,plain,(
% 1.84/0.72 pd0_3(sk0_13(sk0_19),sk0_19)|r1(sk0_19,sk0_14(sk0_19))),
% 1.84/0.72 inference(resolution,[status(thm)],[f30,f39])).
% 1.84/0.72 fof(f109,plain,(
% 1.84/0.72 spl0_4|spl0_5),
% 1.84/0.72 inference(split_clause,[status(thm)],[f108,f102,f105])).
% 1.84/0.72 fof(f138,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_19,X0)|pd0_2(sk0_9(X0,sk0_19),X0)|r1(X0,sk0_10(X0,sk0_19)))),
% 1.84/0.72 inference(resolution,[status(thm)],[f25,f39])).
% 1.84/0.72 fof(f174,plain,(
% 1.84/0.72 spl0_18 <=> ~r1(sk0_19,X0)|~r1(X0,X1)|pd0_1(sk0_7(X1,X0,sk0_19),X1)),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f175,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_19,X0)|~r1(X0,X1)|pd0_1(sk0_7(X1,X0,sk0_19),X1)|~spl0_18)),
% 1.84/0.72 inference(component_clause,[status(thm)],[f174])).
% 1.84/0.72 fof(f177,plain,(
% 1.84/0.72 spl0_19 <=> r1(sk0_19,sk0_8(sk0_19))),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f178,plain,(
% 1.84/0.72 r1(sk0_19,sk0_8(sk0_19))|~spl0_19),
% 1.84/0.72 inference(component_clause,[status(thm)],[f177])).
% 1.84/0.72 fof(f180,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_19,X0)|~r1(X0,X1)|pd0_1(sk0_7(X1,X0,sk0_19),X1)|r1(sk0_19,sk0_8(sk0_19)))),
% 1.84/0.72 inference(resolution,[status(thm)],[f23,f39])).
% 1.84/0.72 fof(f181,plain,(
% 1.84/0.72 spl0_18|spl0_19),
% 1.84/0.72 inference(split_clause,[status(thm)],[f180,f174,f177])).
% 1.84/0.72 fof(f193,plain,(
% 1.84/0.72 ![X0,X1,X2]: (~r1(sk0_19,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~r1(X0,X2)|r1(X2,sk0_6(X2,X0,sk0_19)))),
% 1.84/0.72 inference(resolution,[status(thm)],[f21,f39])).
% 1.84/0.72 fof(f223,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_19,X0)|pd0_2(sk0_9(X0,sk0_19),X0)|~r1(sk0_10(X0,sk0_19),X1)|r1(X1,sk0_11(X1,X0,sk0_19)))),
% 1.84/0.72 inference(resolution,[status(thm)],[f26,f39])).
% 1.84/0.72 fof(f302,plain,(
% 1.84/0.72 r1(sk0_19,sk0_13(sk0_19))|~spl0_4),
% 1.84/0.72 inference(resolution,[status(thm)],[f103,f58])).
% 1.84/0.72 fof(f340,plain,(
% 1.84/0.72 spl0_40 <=> p2(sk0_13(sk0_19))),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f342,plain,(
% 1.84/0.72 ~p2(sk0_13(sk0_19))|spl0_40),
% 1.84/0.72 inference(component_clause,[status(thm)],[f340])).
% 1.84/0.72 fof(f343,plain,(
% 1.84/0.72 spl0_41 <=> ~r1(sk0_13(sk0_19),X1)|r1(X1,sk0_6(X1,sk0_13(sk0_19),sk0_19))),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f344,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_13(sk0_19),X0)|r1(X0,sk0_6(X0,sk0_13(sk0_19),sk0_19))|~spl0_41)),
% 1.84/0.72 inference(component_clause,[status(thm)],[f343])).
% 1.84/0.72 fof(f348,plain,(
% 1.84/0.72 spl0_42 <=> pd0_2(sk0_9(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19))),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f349,plain,(
% 1.84/0.72 pd0_2(sk0_9(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19))|~spl0_42),
% 1.84/0.72 inference(component_clause,[status(thm)],[f348])).
% 1.84/0.72 fof(f351,plain,(
% 1.84/0.72 spl0_43 <=> ~r1(sk0_10(sk0_13(sk0_19),sk0_19),X0)|r1(X0,sk0_11(X0,sk0_13(sk0_19),sk0_19))),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f352,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_10(sk0_13(sk0_19),sk0_19),X0)|r1(X0,sk0_11(X0,sk0_13(sk0_19),sk0_19))|~spl0_43)),
% 1.84/0.72 inference(component_clause,[status(thm)],[f351])).
% 1.84/0.72 fof(f354,plain,(
% 1.84/0.72 ![X0]: (pd0_2(sk0_9(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19))|~r1(sk0_10(sk0_13(sk0_19),sk0_19),X0)|r1(X0,sk0_11(X0,sk0_13(sk0_19),sk0_19))|~spl0_4)),
% 1.84/0.72 inference(resolution,[status(thm)],[f302,f223])).
% 1.84/0.72 fof(f355,plain,(
% 1.84/0.72 spl0_42|spl0_43|~spl0_4),
% 1.84/0.72 inference(split_clause,[status(thm)],[f354,f348,f351,f102])).
% 1.84/0.72 fof(f356,plain,(
% 1.84/0.72 spl0_44 <=> ~r1(sk0_13(sk0_19),X0)|p2(X0)),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f357,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_13(sk0_19),X0)|p2(X0)|~spl0_44)),
% 1.84/0.72 inference(component_clause,[status(thm)],[f356])).
% 1.84/0.72 fof(f359,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_13(sk0_19),X0)|p2(X0)|~p2(sk0_13(sk0_19))|~r1(sk0_13(sk0_19),X1)|r1(X1,sk0_6(X1,sk0_13(sk0_19),sk0_19))|~spl0_4)),
% 1.84/0.72 inference(resolution,[status(thm)],[f302,f193])).
% 1.84/0.72 fof(f360,plain,(
% 1.84/0.72 spl0_44|~spl0_40|spl0_41|~spl0_4),
% 1.84/0.72 inference(split_clause,[status(thm)],[f359,f356,f340,f343,f102])).
% 1.84/0.72 fof(f361,plain,(
% 1.84/0.72 spl0_45 <=> r1(sk0_13(sk0_19),sk0_10(sk0_13(sk0_19),sk0_19))),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f362,plain,(
% 1.84/0.72 r1(sk0_13(sk0_19),sk0_10(sk0_13(sk0_19),sk0_19))|~spl0_45),
% 1.84/0.72 inference(component_clause,[status(thm)],[f361])).
% 1.84/0.72 fof(f364,plain,(
% 1.84/0.72 pd0_2(sk0_9(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19))|r1(sk0_13(sk0_19),sk0_10(sk0_13(sk0_19),sk0_19))|~spl0_4),
% 1.84/0.72 inference(resolution,[status(thm)],[f302,f138])).
% 1.84/0.72 fof(f365,plain,(
% 1.84/0.72 spl0_42|spl0_45|~spl0_4),
% 1.84/0.72 inference(split_clause,[status(thm)],[f364,f348,f361,f102])).
% 1.84/0.72 fof(f369,plain,(
% 1.84/0.72 ![X0]: (~pd0_3(sk0_13(sk0_19),X0)|spl0_40)),
% 1.84/0.72 inference(resolution,[status(thm)],[f342,f61])).
% 1.84/0.72 fof(f371,plain,(
% 1.84/0.72 $false|spl0_40|~spl0_4),
% 1.84/0.72 inference(backward_subsumption_resolution,[status(thm)],[f103,f369])).
% 1.84/0.72 fof(f372,plain,(
% 1.84/0.72 spl0_40|~spl0_4),
% 1.84/0.72 inference(contradiction_clause,[status(thm)],[f371])).
% 1.84/0.72 fof(f415,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_9(sk0_13(sk0_19),sk0_19),X0)|~pd0_1(X0,X1)|~spl0_42)),
% 1.84/0.72 inference(resolution,[status(thm)],[f349,f91])).
% 1.84/0.72 fof(f416,plain,(
% 1.84/0.72 r1(sk0_13(sk0_19),sk0_9(sk0_13(sk0_19),sk0_19))|~spl0_42),
% 1.84/0.72 inference(resolution,[status(thm)],[f349,f54])).
% 1.84/0.72 fof(f423,plain,(
% 1.84/0.72 ![X0,X1,X2,X3]: (~r1(sk0_19,X0)|~r1(X0,X1)|p2(X1)|~p2(X0)|~r1(X0,X2)|~r1(sk0_6(X2,X0,sk0_19),X3)|~p2(X3))),
% 1.84/0.72 inference(resolution,[status(thm)],[f22,f39])).
% 1.84/0.72 fof(f427,plain,(
% 1.84/0.72 spl0_46 <=> ~r1(sk0_8(sk0_19),X2)|~p2(X2)),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f428,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_8(sk0_19),X0)|~p2(X0)|~spl0_46)),
% 1.84/0.72 inference(component_clause,[status(thm)],[f427])).
% 1.84/0.72 fof(f430,plain,(
% 1.84/0.72 ![X0,X1,X2]: (~r1(sk0_19,X0)|~r1(X0,X1)|pd0_1(sk0_7(X1,X0,sk0_19),X1)|~r1(sk0_8(sk0_19),X2)|~p2(X2))),
% 1.84/0.72 inference(resolution,[status(thm)],[f24,f39])).
% 1.84/0.72 fof(f431,plain,(
% 1.84/0.72 spl0_18|spl0_46),
% 1.84/0.72 inference(split_clause,[status(thm)],[f430,f174,f427])).
% 1.84/0.72 fof(f439,plain,(
% 1.84/0.72 spl0_48 <=> ~r1(sk0_14(sk0_19),X0)|~p2(X0)),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f440,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_14(sk0_19),X0)|~p2(X0)|~spl0_48)),
% 1.84/0.72 inference(component_clause,[status(thm)],[f439])).
% 1.84/0.72 fof(f442,plain,(
% 1.84/0.72 ![X0]: (pd0_3(sk0_13(sk0_19),sk0_19)|~r1(sk0_14(sk0_19),X0)|~p2(X0))),
% 1.84/0.72 inference(resolution,[status(thm)],[f31,f39])).
% 1.84/0.72 fof(f443,plain,(
% 1.84/0.72 spl0_4|spl0_48),
% 1.84/0.72 inference(split_clause,[status(thm)],[f442,f102,f439])).
% 1.84/0.72 fof(f693,plain,(
% 1.84/0.72 spl0_67 <=> ~r1(sk0_13(sk0_19),X1)|~r1(sk0_6(X1,sk0_13(sk0_19),sk0_19),X2)|~p2(X2)),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f694,plain,(
% 1.84/0.72 ![X0,X1]: (~r1(sk0_13(sk0_19),X0)|~r1(sk0_6(X0,sk0_13(sk0_19),sk0_19),X1)|~p2(X1)|~spl0_67)),
% 1.84/0.72 inference(component_clause,[status(thm)],[f693])).
% 1.84/0.72 fof(f698,plain,(
% 1.84/0.72 ![X0]: (~r1(sk0_13(sk0_19),X0)|pd0_1(sk0_7(X0,sk0_13(sk0_19),sk0_19),X0)|~spl0_4|~spl0_18)),
% 1.84/0.72 inference(resolution,[status(thm)],[f302,f175])).
% 1.84/0.72 fof(f699,plain,(
% 1.84/0.72 r1(sk0_13(sk0_19),sk0_20(sk0_13(sk0_19)))|~spl0_4),
% 1.84/0.72 inference(resolution,[status(thm)],[f302,f40])).
% 1.84/0.72 fof(f839,plain,(
% 1.84/0.72 ![X0,X1,X2]: (~r1(sk0_13(sk0_19),X0)|p2(X0)|~p2(sk0_13(sk0_19))|~r1(sk0_13(sk0_19),X1)|~r1(sk0_6(X1,sk0_13(sk0_19),sk0_19),X2)|~p2(X2)|~spl0_4)),
% 1.84/0.72 inference(resolution,[status(thm)],[f423,f302])).
% 1.84/0.72 fof(f840,plain,(
% 1.84/0.72 spl0_44|~spl0_40|spl0_67|~spl0_4),
% 1.84/0.72 inference(split_clause,[status(thm)],[f839,f356,f340,f693,f102])).
% 1.84/0.72 fof(f969,plain,(
% 1.84/0.72 r1(sk0_14(sk0_19),sk0_3(sk0_14(sk0_19),sk0_19))|~spl0_5),
% 1.84/0.72 inference(resolution,[status(thm)],[f81,f106])).
% 1.84/0.72 fof(f1004,plain,(
% 1.84/0.72 ~p2(sk0_3(sk0_14(sk0_19),sk0_19))|~spl0_5|~spl0_48),
% 1.84/0.72 inference(resolution,[status(thm)],[f969,f440])).
% 1.84/0.72 fof(f1006,plain,(
% 1.84/0.72 spl0_94 <=> r1(sk0_0,sk0_19)),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f1008,plain,(
% 1.84/0.72 ~r1(sk0_0,sk0_19)|spl0_94),
% 1.84/0.72 inference(component_clause,[status(thm)],[f1006])).
% 1.84/0.72 fof(f1009,plain,(
% 1.84/0.72 ~r1(sk0_0,sk0_19)|~r1(sk0_19,sk0_14(sk0_19))|~spl0_5|~spl0_48),
% 1.84/0.72 inference(resolution,[status(thm)],[f1004,f16])).
% 1.84/0.72 fof(f1010,plain,(
% 1.84/0.72 ~spl0_94|~spl0_5|~spl0_48),
% 1.84/0.72 inference(split_clause,[status(thm)],[f1009,f1006,f105,f439])).
% 1.84/0.72 fof(f1013,plain,(
% 1.84/0.72 $false|spl0_94),
% 1.84/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1008,f39])).
% 1.84/0.72 fof(f1014,plain,(
% 1.84/0.72 spl0_94),
% 1.84/0.72 inference(contradiction_clause,[status(thm)],[f1013])).
% 1.84/0.72 fof(f1059,plain,(
% 1.84/0.72 p2(sk0_20(sk0_13(sk0_19)))|~spl0_4|~spl0_44),
% 1.84/0.72 inference(resolution,[status(thm)],[f699,f357])).
% 1.84/0.72 fof(f1060,plain,(
% 1.84/0.72 ~r1(sk0_19,sk0_13(sk0_19))|~spl0_4|~spl0_44),
% 1.84/0.72 inference(resolution,[status(thm)],[f1059,f41])).
% 1.84/0.72 fof(f1061,plain,(
% 1.84/0.72 $false|~spl0_4|~spl0_44),
% 1.84/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1060,f302])).
% 1.84/0.72 fof(f1062,plain,(
% 1.84/0.72 ~spl0_4|~spl0_44),
% 1.84/0.72 inference(contradiction_clause,[status(thm)],[f1061])).
% 1.84/0.72 fof(f1212,plain,(
% 1.84/0.72 pd0_1(sk0_7(sk0_9(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19),sk0_9(sk0_13(sk0_19),sk0_19))|~spl0_4|~spl0_18|~spl0_42),
% 1.84/0.72 inference(resolution,[status(thm)],[f698,f416])).
% 1.84/0.72 fof(f1384,plain,(
% 1.84/0.72 spl0_111 <=> r1(sk0_0,sk0_16)),
% 1.84/0.72 introduced(split_symbol_definition)).
% 1.84/0.72 fof(f1386,plain,(
% 1.84/0.72 ~r1(sk0_0,sk0_16)|spl0_111),
% 1.84/0.72 inference(component_clause,[status(thm)],[f1384])).
% 1.84/0.72 fof(f1391,plain,(
% 1.84/0.72 $false|spl0_111),
% 1.84/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1386,f34])).
% 1.84/0.72 fof(f1392,plain,(
% 1.84/0.72 spl0_111),
% 1.84/0.72 inference(contradiction_clause,[status(thm)],[f1391])).
% 1.84/0.72 fof(f1559,plain,(
% 1.84/0.72 r1(sk0_9(sk0_13(sk0_19),sk0_19),sk0_7(sk0_9(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19))|~spl0_4|~spl0_18|~spl0_42),
% 1.84/0.72 inference(resolution,[status(thm)],[f1212,f49])).
% 1.84/0.72 fof(f1606,plain,(
% 1.84/0.72 r1(sk0_8(sk0_19),sk0_3(sk0_8(sk0_19),sk0_19))|~spl0_19),
% 1.84/0.73 inference(resolution,[status(thm)],[f178,f81])).
% 1.84/0.73 fof(f1652,plain,(
% 1.84/0.73 ~p2(sk0_3(sk0_8(sk0_19),sk0_19))|~spl0_19|~spl0_46),
% 1.84/0.73 inference(resolution,[status(thm)],[f1606,f428])).
% 1.84/0.73 fof(f1653,plain,(
% 1.84/0.73 ~r1(sk0_0,sk0_19)|~r1(sk0_19,sk0_8(sk0_19))|~spl0_19|~spl0_46),
% 1.84/0.73 inference(resolution,[status(thm)],[f1652,f16])).
% 1.84/0.73 fof(f1654,plain,(
% 1.84/0.73 ~spl0_94|~spl0_19|~spl0_46),
% 1.84/0.73 inference(split_clause,[status(thm)],[f1653,f1006,f177,f427])).
% 1.84/0.73 fof(f1995,plain,(
% 1.84/0.73 ![X0]: (~pd0_1(sk0_7(sk0_9(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19),X0)|~spl0_4|~spl0_18|~spl0_42)),
% 1.84/0.73 inference(resolution,[status(thm)],[f1559,f415])).
% 1.84/0.73 fof(f1996,plain,(
% 1.84/0.73 $false|~spl0_4|~spl0_18|~spl0_42),
% 1.84/0.73 inference(backward_subsumption_resolution,[status(thm)],[f1212,f1995])).
% 1.84/0.73 fof(f1997,plain,(
% 1.84/0.73 ~spl0_4|~spl0_18|~spl0_42),
% 1.84/0.73 inference(contradiction_clause,[status(thm)],[f1996])).
% 1.84/0.73 fof(f2000,plain,(
% 1.84/0.73 ![X0]: (~r1(sk0_6(sk0_10(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19),X0)|~p2(X0)|~spl0_45|~spl0_67)),
% 1.84/0.73 inference(resolution,[status(thm)],[f362,f694])).
% 2.43/0.73 fof(f2003,plain,(
% 2.43/0.73 r1(sk0_10(sk0_13(sk0_19),sk0_19),sk0_6(sk0_10(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19))|~spl0_45|~spl0_41),
% 2.43/0.73 inference(resolution,[status(thm)],[f362,f344])).
% 2.43/0.73 fof(f2037,plain,(
% 2.43/0.73 r1(sk0_6(sk0_10(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19),sk0_11(sk0_6(sk0_10(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19))|~spl0_45|~spl0_41|~spl0_43),
% 2.43/0.73 inference(resolution,[status(thm)],[f2003,f352])).
% 2.43/0.73 fof(f2155,plain,(
% 2.43/0.73 ~p2(sk0_11(sk0_6(sk0_10(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19))|~spl0_41|~spl0_43|~spl0_45|~spl0_67),
% 2.43/0.73 inference(resolution,[status(thm)],[f2037,f2000])).
% 2.43/0.73 fof(f2162,plain,(
% 2.43/0.73 spl0_140 <=> r1(sk0_19,sk0_13(sk0_19))),
% 2.43/0.73 introduced(split_symbol_definition)).
% 2.43/0.73 fof(f2164,plain,(
% 2.43/0.73 ~r1(sk0_19,sk0_13(sk0_19))|spl0_140),
% 2.43/0.73 inference(component_clause,[status(thm)],[f2162])).
% 2.43/0.73 fof(f2165,plain,(
% 2.43/0.73 spl0_141 <=> r1(sk0_10(sk0_13(sk0_19),sk0_19),sk0_6(sk0_10(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19))),
% 2.43/0.73 introduced(split_symbol_definition)).
% 2.43/0.73 fof(f2167,plain,(
% 2.43/0.73 ~r1(sk0_10(sk0_13(sk0_19),sk0_19),sk0_6(sk0_10(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19))|spl0_141),
% 2.43/0.73 inference(component_clause,[status(thm)],[f2165])).
% 2.43/0.73 fof(f2168,plain,(
% 2.43/0.73 ~r1(sk0_0,sk0_19)|~r1(sk0_19,sk0_13(sk0_19))|pd0_2(sk0_9(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19))|~r1(sk0_10(sk0_13(sk0_19),sk0_19),sk0_6(sk0_10(sk0_13(sk0_19),sk0_19),sk0_13(sk0_19),sk0_19))|~spl0_41|~spl0_43|~spl0_45|~spl0_67),
% 2.43/0.73 inference(resolution,[status(thm)],[f2155,f29])).
% 2.43/0.73 fof(f2169,plain,(
% 2.43/0.73 ~spl0_94|~spl0_140|spl0_42|~spl0_141|~spl0_41|~spl0_43|~spl0_45|~spl0_67),
% 2.43/0.73 inference(split_clause,[status(thm)],[f2168,f1006,f2162,f348,f2165,f343,f351,f361,f693])).
% 2.43/0.73 fof(f2172,plain,(
% 2.43/0.73 $false|~spl0_4|spl0_140),
% 2.43/0.73 inference(forward_subsumption_resolution,[status(thm)],[f2164,f302])).
% 2.43/0.73 fof(f2173,plain,(
% 2.43/0.73 ~spl0_4|spl0_140),
% 2.43/0.73 inference(contradiction_clause,[status(thm)],[f2172])).
% 2.43/0.73 fof(f2174,plain,(
% 2.43/0.73 $false|~spl0_45|~spl0_41|spl0_141),
% 2.43/0.73 inference(forward_subsumption_resolution,[status(thm)],[f2167,f2003])).
% 2.43/0.73 fof(f2175,plain,(
% 2.43/0.73 ~spl0_45|~spl0_41|spl0_141),
% 2.43/0.73 inference(contradiction_clause,[status(thm)],[f2174])).
% 2.43/0.73 fof(f2176,plain,(
% 2.43/0.73 $false),
% 2.43/0.73 inference(sat_refutation,[status(thm)],[f109,f181,f355,f360,f365,f372,f431,f443,f840,f1010,f1014,f1062,f1392,f1654,f1997,f2169,f2173,f2175])).
% 2.43/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 2.43/0.73 % Elapsed time: 0.416985 seconds
% 2.43/0.73 % CPU time: 2.490044 seconds
% 2.43/0.73 % Memory used: 28.187 MB
%------------------------------------------------------------------------------