TSTP Solution File: LCL688+1.001 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:20:15 EDT 2023
% Result : Theorem 52.33s 7.11s
% Output : CNFRefutation 52.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.17 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8042.1875MB
% 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Tue May 30 09:49:10 EDT 2023
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V3.5.1
% 52.33/7.11 % Refutation found
% 52.33/7.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 52.33/7.11 % SZS output start CNFRefutation for theBenchmark
% 52.33/7.11 fof(f1,axiom,(
% 52.33/7.11 (! [X] : r1(X,X) )),
% 52.33/7.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.33/7.11 fof(f2,axiom,(
% 52.33/7.11 (! [X,Y,Z] :( ( r1(X,Y)& r1(Y,Z) )=> r1(X,Z) ) )),
% 52.33/7.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.33/7.11 fof(f3,conjecture,(
% 52.33/7.11 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ p4(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) ) )) )) )) ) )) ))| ( ~ p1(X)& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& (! [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)| ~ (! [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) ) )) )) )),
% 52.33/7.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 52.33/7.11 fof(f4,negated_conjecture,(
% 52.33/7.11 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ p4(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) ) )) )) )) ) )) ))| ( ~ p1(X)& ~ (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| p1(X) ) )))& (! [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)| ~ (! [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) ) )) )) ))),
% 52.33/7.11 inference(negated_conjecture,[status(cth)],[f3])).
% 52.33/7.11 fof(f5,plain,(
% 52.33/7.11 ![X0]: (r1(X0,X0))),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f1])).
% 52.33/7.11 fof(f6,plain,(
% 52.33/7.11 ![X,Y,Z]: ((~r1(X,Y)|~r1(Y,Z))|r1(X,Z))),
% 52.33/7.11 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 52.33/7.11 fof(f7,plain,(
% 52.33/7.11 ![X,Z]: ((![Y]: (~r1(X,Y)|~r1(Y,Z)))|r1(X,Z))),
% 52.33/7.11 inference(miniscoping,[status(esa)],[f6])).
% 52.33/7.11 fof(f8,plain,(
% 52.33/7.11 ![X0,X1,X2]: (~r1(X0,X1)|~r1(X1,X2)|r1(X0,X2))),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f7])).
% 52.33/7.11 fof(f9,plain,(
% 52.33/7.11 ?[X]: ((((((![Y]: (~r1(X,Y)|~p4(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))))))))))))))&((p1(X)|(![Y]: (~r1(X,Y)|(?[X]: (r1(Y,X)&~p1(X))))))|(?[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)&(![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))))))),
% 52.33/7.11 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 52.33/7.11 fof(f10,plain,(
% 52.33/7.11 ![Y,X]: (pd0_0(X,Y)=>(r1(Y,X)&~p1(X)))),
% 52.33/7.11 introduced(predicate_definition,[f9])).
% 52.33/7.11 fof(f11,plain,(
% 52.33/7.11 ?[X]: ((((((![Y]: (~r1(X,Y)|~p4(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))))))))))))))&((p1(X)|(![Y]: (~r1(X,Y)|(?[X]: pd0_0(X,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)&(![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))))))),
% 52.33/7.11 inference(formula_renaming,[status(thm)],[f9,f10])).
% 52.33/7.11 fof(f12,plain,(
% 52.33/7.11 ((((((![Y]: (~r1(sk0_0,Y)|~p4(Y)))&(![Y]: (~r1(sk0_0,Y)|((![X]: (~r1(Y,X)|((r1(X,sk0_1(X,Y))&(r1(sk0_1(X,Y),sk0_2(X,Y))&~p3(sk0_2(X,Y))))&p2(sk0_1(X,Y)))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|((r1(Y,sk0_3(Y,X,Y))&~p3(sk0_3(Y,X,Y)))&p2(Y))))|~p2(X))|(![Y]: (~r1(X,Y)|(r1(Y,sk0_4(Y,X,Y))&(![Y]: (~r1(sk0_4(Y,X,Y),Y)|~p2(Y)))))))))))))&((p1(sk0_0)|(![Y]: (~r1(sk0_0,Y)|pd0_0(sk0_5(Y),Y))))|((r1(sk0_0,sk0_6)&~p1(sk0_6))&(![X]: (~r1(sk0_6,X)|((![Y]: (~r1(X,Y)|p1(Y)))|~p1(X)))))))&((r1(sk0_0,sk0_7)&(r1(sk0_7,sk0_8)&(![Y]: (~r1(sk0_8,Y)|p1(Y)))))&(r1(sk0_7,sk0_9)&~p1(sk0_9))))&(r1(sk0_0,sk0_10)&(![X]: (~r1(sk0_10,X)|(r1(X,sk0_11(X))&~p2(sk0_11(X)))))))&(![Y]: ((~r1(sk0_0,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|~p1(Y))))))|(r1(Y,sk0_12(Y))&p1(sk0_12(Y))))))),
% 52.33/7.11 inference(skolemization,[status(esa)],[f11])).
% 52.33/7.11 fof(f14,plain,(
% 52.33/7.11 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|r1(X1,sk0_1(X1,X0)))),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f12])).
% 52.33/7.11 fof(f17,plain,(
% 52.33/7.11 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(sk0_1(X1,X0)))),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f12])).
% 52.33/7.11 fof(f22,plain,(
% 52.33/7.11 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~r1(X1,X3)|r1(X3,sk0_4(X3,X1,X0)))),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f12])).
% 52.33/7.11 fof(f23,plain,(
% 52.33/7.11 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~r1(X1,X3)|~r1(sk0_4(X3,X1,X0),X4)|~p2(X4))),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f12])).
% 52.33/7.11 fof(f32,plain,(
% 52.33/7.11 r1(sk0_0,sk0_10)),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f12])).
% 52.33/7.11 fof(f33,plain,(
% 52.33/7.11 ![X0]: (~r1(sk0_10,X0)|r1(X0,sk0_11(X0)))),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f12])).
% 52.33/7.11 fof(f34,plain,(
% 52.33/7.11 ![X0]: (~r1(sk0_10,X0)|~p2(sk0_11(X0)))),
% 52.33/7.11 inference(cnf_transformation,[status(esa)],[f12])).
% 52.33/7.11 fof(f244,plain,(
% 52.33/7.11 ![X0,X1,X2,X3,X4]: (~r1(sk0_10,X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_11(X0))|~p2(X2)|~r1(X2,X3)|~r1(sk0_4(X3,X2,X1),X4)|~p2(X4))),
% 52.33/7.11 inference(resolution,[status(thm)],[f34,f23])).
% 52.33/7.11 fof(f245,plain,(
% 52.33/7.11 ![X0,X1,X2,X3]: (~r1(sk0_10,X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_11(X0))|~p2(X2)|~r1(X2,X3)|r1(X3,sk0_4(X3,X2,X1)))),
% 52.33/7.11 inference(resolution,[status(thm)],[f34,f22])).
% 52.33/7.11 fof(f247,plain,(
% 52.33/7.11 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_10,X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_11(X0))|~p2(X2)|~r1(X2,X3)|~r1(sk0_4(X3,X2,X1),sk0_1(X4,X5))|~r1(sk0_0,X5)|~r1(X5,X4))),
% 52.33/7.11 inference(resolution,[status(thm)],[f244,f17])).
% 52.33/7.11 fof(f294,plain,(
% 52.33/7.11 ![X0,X1,X2,X3,X4]: (~r1(sk0_10,X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_11(X0))|~p2(X2)|~r1(X2,X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,X2,X1))|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,X2,X1)))),
% 52.33/7.11 inference(resolution,[status(thm)],[f247,f14])).
% 52.33/7.11 fof(f295,plain,(
% 52.33/7.11 ![X0,X1,X2,X3,X4]: (~r1(sk0_10,X0)|~r1(sk0_0,X1)|~r1(X1,X2)|~r1(X2,sk0_11(X0))|~p2(X2)|~r1(X2,X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,X2,X1)))),
% 52.33/7.11 inference(duplicate_literals_removal,[status(esa)],[f294])).
% 52.33/7.11 fof(f347,plain,(
% 52.33/7.11 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_10,X0)|~r1(sk0_0,X1)|~r1(X1,sk0_1(X2,X3))|~r1(sk0_1(X2,X3),sk0_11(X0))|~r1(sk0_1(X2,X3),X4)|~r1(sk0_0,X5)|~r1(X5,sk0_4(X4,sk0_1(X2,X3),X1))|~r1(sk0_0,X3)|~r1(X3,X2))),
% 52.33/7.11 inference(resolution,[status(thm)],[f295,f17])).
% 52.33/7.11 fof(f491,plain,(
% 52.33/7.11 ![X0,X1,X2,X3,X4]: (~r1(sk0_10,sk0_1(X0,X1))|~r1(sk0_0,X2)|~r1(X2,sk0_1(X0,X1))|~r1(sk0_1(X0,X1),X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,sk0_1(X0,X1),X2))|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,sk0_1(X0,X1)))),
% 52.33/7.11 inference(resolution,[status(thm)],[f347,f33])).
% 52.33/7.11 fof(f492,plain,(
% 52.33/7.11 ![X0,X1,X2,X3,X4]: (~r1(sk0_10,sk0_1(X0,X1))|~r1(sk0_0,X2)|~r1(X2,sk0_1(X0,X1))|~r1(sk0_1(X0,X1),X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,sk0_1(X0,X1),X2))|~r1(sk0_0,X1)|~r1(X1,X0))),
% 52.33/7.11 inference(duplicate_literals_removal,[status(esa)],[f491])).
% 52.33/7.11 fof(f494,plain,(
% 52.33/7.11 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(sk0_10,X1))|~r1(sk0_1(sk0_10,X1),X2)|~r1(sk0_0,X3)|~r1(X3,sk0_4(X2,sk0_1(sk0_10,X1),X0))|~r1(sk0_0,X1)|~r1(X1,sk0_10)|~r1(sk0_0,X1)|~r1(X1,sk0_10))),
% 52.33/7.11 inference(resolution,[status(thm)],[f492,f14])).
% 52.33/7.11 fof(f495,plain,(
% 52.33/7.11 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(sk0_10,X1))|~r1(sk0_1(sk0_10,X1),X2)|~r1(sk0_0,X3)|~r1(X3,sk0_4(X2,sk0_1(sk0_10,X1),X0))|~r1(sk0_0,X1)|~r1(X1,sk0_10))),
% 52.33/7.11 inference(duplicate_literals_removal,[status(esa)],[f494])).
% 52.33/7.11 fof(f522,plain,(
% 52.33/7.11 spl0_8 <=> ~r1(sk0_0,X0)|~r1(X0,sk0_1(sk0_10,sk0_10))|~r1(sk0_1(sk0_10,sk0_10),X1)|~r1(sk0_0,X2)|~r1(X2,sk0_4(X1,sk0_1(sk0_10,sk0_10),X0))),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f523,plain,(
% 52.33/7.11 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(sk0_10,sk0_10))|~r1(sk0_1(sk0_10,sk0_10),X1)|~r1(sk0_0,X2)|~r1(X2,sk0_4(X1,sk0_1(sk0_10,sk0_10),X0))|~spl0_8)),
% 52.33/7.11 inference(component_clause,[status(thm)],[f522])).
% 52.33/7.11 fof(f525,plain,(
% 52.33/7.11 spl0_9 <=> r1(sk0_0,sk0_10)),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f527,plain,(
% 52.33/7.11 ~r1(sk0_0,sk0_10)|spl0_9),
% 52.33/7.11 inference(component_clause,[status(thm)],[f525])).
% 52.33/7.11 fof(f528,plain,(
% 52.33/7.11 ![X0,X1,X2]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(sk0_10,sk0_10))|~r1(sk0_1(sk0_10,sk0_10),X1)|~r1(sk0_0,X2)|~r1(X2,sk0_4(X1,sk0_1(sk0_10,sk0_10),X0))|~r1(sk0_0,sk0_10))),
% 52.33/7.11 inference(resolution,[status(thm)],[f495,f5])).
% 52.33/7.11 fof(f529,plain,(
% 52.33/7.11 spl0_8|~spl0_9),
% 52.33/7.11 inference(split_clause,[status(thm)],[f528,f522,f525])).
% 52.33/7.11 fof(f530,plain,(
% 52.33/7.11 $false|spl0_9),
% 52.33/7.11 inference(forward_subsumption_resolution,[status(thm)],[f527,f32])).
% 52.33/7.11 fof(f531,plain,(
% 52.33/7.11 spl0_9),
% 52.33/7.11 inference(contradiction_clause,[status(thm)],[f530])).
% 52.33/7.11 fof(f534,plain,(
% 52.33/7.11 spl0_10 <=> ~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X1)|~r1(X1,sk0_4(X0,sk0_1(sk0_10,sk0_10),sk0_10))),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f535,plain,(
% 52.33/7.11 ![X0,X1]: (~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X1)|~r1(X1,sk0_4(X0,sk0_1(sk0_10,sk0_10),sk0_10))|~spl0_10)),
% 52.33/7.11 inference(component_clause,[status(thm)],[f534])).
% 52.33/7.11 fof(f537,plain,(
% 52.33/7.11 spl0_11 <=> r1(sk0_10,sk0_10)),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f539,plain,(
% 52.33/7.11 ~r1(sk0_10,sk0_10)|spl0_11),
% 52.33/7.11 inference(component_clause,[status(thm)],[f537])).
% 52.33/7.11 fof(f540,plain,(
% 52.33/7.11 ![X0,X1]: (~r1(sk0_0,sk0_10)|~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X1)|~r1(X1,sk0_4(X0,sk0_1(sk0_10,sk0_10),sk0_10))|~r1(sk0_0,sk0_10)|~r1(sk0_10,sk0_10)|~spl0_8)),
% 52.33/7.11 inference(resolution,[status(thm)],[f523,f14])).
% 52.33/7.11 fof(f541,plain,(
% 52.33/7.11 ~spl0_9|spl0_10|~spl0_11|~spl0_8),
% 52.33/7.11 inference(split_clause,[status(thm)],[f540,f525,f534,f537,f522])).
% 52.33/7.11 fof(f543,plain,(
% 52.33/7.11 spl0_12 <=> r1(sk0_0,sk0_1(sk0_10,sk0_10))),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f545,plain,(
% 52.33/7.11 ~r1(sk0_0,sk0_1(sk0_10,sk0_10))|spl0_12),
% 52.33/7.11 inference(component_clause,[status(thm)],[f543])).
% 52.33/7.11 fof(f551,plain,(
% 52.33/7.11 $false|spl0_11),
% 52.33/7.11 inference(forward_subsumption_resolution,[status(thm)],[f539,f5])).
% 52.33/7.11 fof(f552,plain,(
% 52.33/7.11 spl0_11),
% 52.33/7.11 inference(contradiction_clause,[status(thm)],[f551])).
% 52.33/7.11 fof(f553,plain,(
% 52.33/7.11 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(sk0_10,sk0_10))|spl0_12)),
% 52.33/7.11 inference(resolution,[status(thm)],[f545,f8])).
% 52.33/7.11 fof(f554,plain,(
% 52.33/7.11 ~r1(sk0_0,sk0_10)|~r1(sk0_0,sk0_10)|~r1(sk0_10,sk0_10)|spl0_12),
% 52.33/7.11 inference(resolution,[status(thm)],[f553,f14])).
% 52.33/7.11 fof(f555,plain,(
% 52.33/7.11 ~spl0_9|~spl0_11|spl0_12),
% 52.33/7.11 inference(split_clause,[status(thm)],[f554,f525,f537,f543])).
% 52.33/7.11 fof(f558,plain,(
% 52.33/7.11 spl0_14 <=> ~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X0)|~r1(sk0_1(sk0_10,sk0_10),X0)),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f559,plain,(
% 52.33/7.11 ![X0]: (~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X0)|~r1(sk0_1(sk0_10,sk0_10),X0)|~spl0_14)),
% 52.33/7.11 inference(component_clause,[status(thm)],[f558])).
% 52.33/7.11 fof(f564,plain,(
% 52.33/7.11 spl0_16 <=> r1(sk0_10,sk0_1(sk0_10,sk0_10))),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f566,plain,(
% 52.33/7.11 ~r1(sk0_10,sk0_1(sk0_10,sk0_10))|spl0_16),
% 52.33/7.11 inference(component_clause,[status(thm)],[f564])).
% 52.33/7.11 fof(f567,plain,(
% 52.33/7.11 spl0_17 <=> p2(sk0_1(sk0_10,sk0_10))),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f569,plain,(
% 52.33/7.11 ~p2(sk0_1(sk0_10,sk0_10))|spl0_17),
% 52.33/7.11 inference(component_clause,[status(thm)],[f567])).
% 52.33/7.11 fof(f587,plain,(
% 52.33/7.11 spl0_21 <=> ~r1(sk0_10,X1)|~r1(sk0_1(sk0_10,sk0_10),sk0_11(X1))),
% 52.33/7.11 introduced(split_symbol_definition)).
% 52.33/7.11 fof(f588,plain,(
% 52.33/7.11 ![X0]: (~r1(sk0_10,X0)|~r1(sk0_1(sk0_10,sk0_10),sk0_11(X0))|~spl0_21)),
% 52.33/7.11 inference(component_clause,[status(thm)],[f587])).
% 52.33/7.11 fof(f590,plain,(
% 52.33/7.11 ![X0,X1]: (~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X0)|~r1(sk0_10,X1)|~r1(sk0_0,sk0_10)|~r1(sk0_10,sk0_1(sk0_10,sk0_10))|~r1(sk0_1(sk0_10,sk0_10),sk0_11(X1))|~p2(sk0_1(sk0_10,sk0_10))|~r1(sk0_1(sk0_10,sk0_10),X0)|~spl0_10)),
% 52.33/7.12 inference(resolution,[status(thm)],[f535,f245])).
% 52.33/7.12 fof(f591,plain,(
% 52.33/7.12 spl0_14|spl0_21|~spl0_9|~spl0_16|~spl0_17|~spl0_10),
% 52.33/7.12 inference(split_clause,[status(thm)],[f590,f558,f587,f525,f564,f567,f534])).
% 52.33/7.12 fof(f601,plain,(
% 52.33/7.12 ~r1(sk0_0,sk0_10)|~r1(sk0_10,sk0_10)|spl0_17),
% 52.33/7.12 inference(resolution,[status(thm)],[f569,f17])).
% 52.33/7.12 fof(f602,plain,(
% 52.33/7.12 ~spl0_9|~spl0_11|spl0_17),
% 52.33/7.12 inference(split_clause,[status(thm)],[f601,f525,f537,f567])).
% 52.33/7.12 fof(f659,plain,(
% 52.33/7.12 ~r1(sk0_0,sk0_10)|~r1(sk0_10,sk0_10)|spl0_16),
% 52.33/7.12 inference(resolution,[status(thm)],[f566,f14])).
% 52.33/7.12 fof(f660,plain,(
% 52.33/7.12 ~spl0_9|~spl0_11|spl0_16),
% 52.33/7.12 inference(split_clause,[status(thm)],[f659,f525,f537,f564])).
% 52.33/7.12 fof(f662,plain,(
% 52.33/7.12 ![X0]: (~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X0)|~spl0_14)),
% 52.33/7.12 inference(duplicate_literals_removal,[status(esa)],[f559])).
% 52.33/7.12 fof(f692,plain,(
% 52.33/7.12 ~r1(sk0_0,sk0_1(sk0_10,sk0_10))|~spl0_14),
% 52.33/7.12 inference(resolution,[status(thm)],[f662,f5])).
% 52.33/7.12 fof(f693,plain,(
% 52.33/7.12 ~spl0_12|~spl0_14),
% 52.33/7.12 inference(split_clause,[status(thm)],[f692,f543,f558])).
% 52.33/7.12 fof(f694,plain,(
% 52.33/7.12 ~r1(sk0_10,sk0_1(sk0_10,sk0_10))|~r1(sk0_10,sk0_1(sk0_10,sk0_10))|~spl0_21),
% 52.33/7.12 inference(resolution,[status(thm)],[f588,f33])).
% 52.33/7.12 fof(f695,plain,(
% 52.33/7.12 ~spl0_16|~spl0_21),
% 52.33/7.12 inference(split_clause,[status(thm)],[f694,f564,f587])).
% 52.33/7.12 fof(f697,plain,(
% 52.33/7.12 $false),
% 52.33/7.12 inference(sat_refutation,[status(thm)],[f529,f531,f541,f552,f555,f591,f602,f660,f693,f695])).
% 52.33/7.12 % SZS output end CNFRefutation for theBenchmark.p
% 52.83/7.15 % Elapsed time: 6.762470 seconds
% 52.83/7.15 % CPU time: 52.952347 seconds
% 52.83/7.15 % Memory used: 78.856 MB
%------------------------------------------------------------------------------