TSTP Solution File: LCL688+1.001 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n026.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 20:27:56 EDT 2024
% Result : Theorem 101.13s 13.11s
% Output : CNFRefutation 101.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.34 % Computer : n026.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8042.1875MB
% 0.09/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Apr 29 20:42:04 EDT 2024
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Drodi V3.6.0
% 101.13/13.11 % Refutation found
% 101.13/13.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 101.13/13.11 % SZS output start CNFRefutation for theBenchmark
% 101.13/13.11 fof(f1,axiom,(
% 101.13/13.11 (! [X] : r1(X,X) )),
% 101.13/13.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 101.13/13.11 fof(f2,axiom,(
% 101.13/13.11 (! [X,Y,Z] :( ( r1(X,Y)& r1(Y,Z) )=> r1(X,Z) ) )),
% 101.13/13.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 101.13/13.11 fof(f3,conjecture,(
% 101.13/13.11 ~ (? [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) ) )) )) )),
% 101.13/13.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 101.13/13.11 fof(f4,negated_conjecture,(
% 101.13/13.11 ~(~ (? [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) ) )) )) ))),
% 101.13/13.11 inference(negated_conjecture,[status(cth)],[f3])).
% 101.13/13.11 fof(f5,plain,(
% 101.13/13.11 ![X0]: (r1(X0,X0))),
% 101.13/13.11 inference(cnf_transformation,[status(esa)],[f1])).
% 101.13/13.11 fof(f6,plain,(
% 101.13/13.11 ![X,Y,Z]: ((~r1(X,Y)|~r1(Y,Z))|r1(X,Z))),
% 101.13/13.11 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 101.13/13.11 fof(f7,plain,(
% 101.13/13.11 ![X,Z]: ((![Y]: (~r1(X,Y)|~r1(Y,Z)))|r1(X,Z))),
% 101.13/13.11 inference(miniscoping,[status(esa)],[f6])).
% 101.13/13.11 fof(f8,plain,(
% 101.13/13.11 ![X0,X1,X2]: (~r1(X0,X1)|~r1(X1,X2)|r1(X0,X2))),
% 101.13/13.11 inference(cnf_transformation,[status(esa)],[f7])).
% 101.13/13.11 fof(f9,plain,(
% 101.13/13.11 ?[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))))))),
% 101.13/13.11 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 101.13/13.11 fof(f10,plain,(
% 101.13/13.11 ![Y,X]: (pd0_0(X,Y)=>(r1(Y,X)&~p1(X)))),
% 101.13/13.11 introduced(predicate_definition,[f9])).
% 101.13/13.11 fof(f11,plain,(
% 101.13/13.11 ?[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))))))),
% 101.13/13.12 inference(formula_renaming,[status(thm)],[f9,f10])).
% 101.13/13.12 fof(f12,plain,(
% 101.13/13.12 ((((((![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))))))),
% 101.13/13.12 inference(skolemization,[status(esa)],[f11])).
% 101.13/13.12 fof(f14,plain,(
% 101.13/13.12 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|r1(X1,sk0_1(X1,X0)))),
% 101.13/13.12 inference(cnf_transformation,[status(esa)],[f12])).
% 101.13/13.12 fof(f17,plain,(
% 101.13/13.12 ![X0,X1]: (~r1(sk0_0,X0)|~r1(X0,X1)|p2(sk0_1(X1,X0)))),
% 101.13/13.12 inference(cnf_transformation,[status(esa)],[f12])).
% 101.13/13.12 fof(f22,plain,(
% 101.13/13.12 ![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)))),
% 101.13/13.12 inference(cnf_transformation,[status(esa)],[f12])).
% 101.13/13.12 fof(f23,plain,(
% 101.13/13.12 ![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))),
% 101.13/13.12 inference(cnf_transformation,[status(esa)],[f12])).
% 101.13/13.12 fof(f32,plain,(
% 101.13/13.12 r1(sk0_0,sk0_10)),
% 101.13/13.12 inference(cnf_transformation,[status(esa)],[f12])).
% 101.13/13.12 fof(f33,plain,(
% 101.13/13.12 ![X0]: (~r1(sk0_10,X0)|r1(X0,sk0_11(X0)))),
% 101.13/13.12 inference(cnf_transformation,[status(esa)],[f12])).
% 101.13/13.12 fof(f34,plain,(
% 101.13/13.12 ![X0]: (~r1(sk0_10,X0)|~p2(sk0_11(X0)))),
% 101.13/13.12 inference(cnf_transformation,[status(esa)],[f12])).
% 101.13/13.12 fof(f207,plain,(
% 101.13/13.12 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~r1(X1,X3)|~r1(sk0_4(X3,X1,X0),sk0_1(X4,X5))|~r1(sk0_0,X5)|~r1(X5,X4))),
% 101.13/13.12 inference(resolution,[status(thm)],[f23,f17])).
% 101.13/13.12 fof(f249,plain,(
% 101.13/13.12 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),X3)|p2(X3)|~r1(sk0_1(X1,X2),X4)|~r1(sk0_4(X4,sk0_1(X1,X2),X0),sk0_1(X5,X6))|~r1(sk0_0,X6)|~r1(X6,X5)|~r1(sk0_0,X2)|~r1(X2,X1))),
% 101.13/13.12 inference(resolution,[status(thm)],[f207,f17])).
% 101.13/13.12 fof(f290,plain,(
% 101.13/13.12 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),X3)|p2(X3)|~r1(sk0_1(X1,X2),X4)|~r1(sk0_0,X5)|~r1(X5,sk0_4(X4,sk0_1(X1,X2),X0))|~r1(sk0_0,X2)|~r1(X2,X1)|~r1(sk0_0,X5)|~r1(X5,sk0_4(X4,sk0_1(X1,X2),X0)))),
% 101.13/13.12 inference(resolution,[status(thm)],[f249,f14])).
% 101.13/13.12 fof(f291,plain,(
% 101.13/13.12 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),X3)|p2(X3)|~r1(sk0_1(X1,X2),X4)|~r1(sk0_0,X5)|~r1(X5,sk0_4(X4,sk0_1(X1,X2),X0))|~r1(sk0_0,X2)|~r1(X2,X1))),
% 101.13/13.12 inference(duplicate_literals_removal,[status(esa)],[f290])).
% 101.13/13.12 fof(f332,plain,(
% 101.13/13.12 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),sk0_11(X3))|~r1(sk0_1(X1,X2),X4)|~r1(sk0_0,X5)|~r1(X5,sk0_4(X4,sk0_1(X1,X2),X0))|~r1(sk0_0,X2)|~r1(X2,X1)|~r1(sk0_10,X3))),
% 101.13/13.12 inference(resolution,[status(thm)],[f291,f34])).
% 101.13/13.12 fof(f343,plain,(
% 101.13/13.12 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,sk0_1(X1,X2),X0))|~r1(sk0_0,X2)|~r1(X2,X1)|~r1(sk0_10,sk0_1(X1,X2))|~r1(sk0_10,sk0_1(X1,X2)))),
% 101.13/13.12 inference(resolution,[status(thm)],[f332,f33])).
% 101.13/13.12 fof(f344,plain,(
% 101.13/13.12 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,sk0_1(X1,X2),X0))|~r1(sk0_0,X2)|~r1(X2,X1)|~r1(sk0_10,sk0_1(X1,X2)))),
% 101.13/13.12 inference(duplicate_literals_removal,[status(esa)],[f343])).
% 101.13/13.12 fof(f443,plain,(
% 101.13/13.12 ![X0,X1,X2,X3,X4,X5]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,sk0_1(X1,X2),X0))|~r1(sk0_0,X2)|~r1(X2,X1)|~r1(sk0_10,X5)|~r1(X5,sk0_1(X1,X2)))),
% 101.13/13.12 inference(resolution,[status(thm)],[f344,f8])).
% 101.13/13.12 fof(f456,plain,(
% 101.13/13.12 spl0_9 <=> r1(sk0_0,sk0_10)),
% 101.13/13.12 introduced(split_symbol_definition)).
% 101.13/13.13 fof(f458,plain,(
% 101.13/13.13 ~r1(sk0_0,sk0_10)|spl0_9),
% 101.13/13.13 inference(component_clause,[status(thm)],[f456])).
% 101.13/13.13 fof(f461,plain,(
% 101.13/13.13 $false|spl0_9),
% 101.13/13.13 inference(forward_subsumption_resolution,[status(thm)],[f458,f32])).
% 101.13/13.13 fof(f462,plain,(
% 101.13/13.13 spl0_9),
% 101.13/13.13 inference(contradiction_clause,[status(thm)],[f461])).
% 101.13/13.13 fof(f468,plain,(
% 101.13/13.13 spl0_11 <=> r1(sk0_10,sk0_10)),
% 101.13/13.13 introduced(split_symbol_definition)).
% 101.13/13.13 fof(f470,plain,(
% 101.13/13.13 ~r1(sk0_10,sk0_10)|spl0_11),
% 101.13/13.13 inference(component_clause,[status(thm)],[f468])).
% 101.13/13.13 fof(f474,plain,(
% 101.13/13.13 spl0_12 <=> r1(sk0_0,sk0_1(sk0_10,sk0_10))),
% 101.13/13.13 introduced(split_symbol_definition)).
% 101.13/13.13 fof(f476,plain,(
% 101.13/13.13 ~r1(sk0_0,sk0_1(sk0_10,sk0_10))|spl0_12),
% 101.13/13.13 inference(component_clause,[status(thm)],[f474])).
% 101.13/13.13 fof(f482,plain,(
% 101.13/13.13 $false|spl0_11),
% 101.13/13.13 inference(forward_subsumption_resolution,[status(thm)],[f470,f5])).
% 101.13/13.13 fof(f483,plain,(
% 101.13/13.13 spl0_11),
% 101.13/13.13 inference(contradiction_clause,[status(thm)],[f482])).
% 101.13/13.13 fof(f484,plain,(
% 101.13/13.13 ![X0]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(sk0_10,sk0_10))|spl0_12)),
% 101.13/13.13 inference(resolution,[status(thm)],[f476,f8])).
% 101.13/13.13 fof(f485,plain,(
% 101.13/13.13 ~r1(sk0_0,sk0_10)|~r1(sk0_0,sk0_10)|~r1(sk0_10,sk0_10)|spl0_12),
% 101.13/13.13 inference(resolution,[status(thm)],[f484,f14])).
% 101.13/13.13 fof(f486,plain,(
% 101.13/13.13 ~spl0_9|~spl0_11|spl0_12),
% 101.13/13.13 inference(split_clause,[status(thm)],[f485,f456,f468,f474])).
% 101.13/13.13 fof(f568,plain,(
% 101.13/13.13 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,sk0_1(X1,X2),X0))|~r1(sk0_0,X2)|~r1(X2,X1)|~r1(sk0_10,X1)|~r1(sk0_0,X2)|~r1(X2,X1))),
% 101.13/13.13 inference(resolution,[status(thm)],[f443,f14])).
% 101.13/13.13 fof(f569,plain,(
% 101.13/13.13 ![X0,X1,X2,X3,X4]: (~r1(sk0_0,X0)|~r1(X0,sk0_1(X1,X2))|~r1(sk0_1(X1,X2),X3)|~r1(sk0_0,X4)|~r1(X4,sk0_4(X3,sk0_1(X1,X2),X0))|~r1(sk0_0,X2)|~r1(X2,X1)|~r1(sk0_10,X1))),
% 101.13/13.13 inference(duplicate_literals_removal,[status(esa)],[f568])).
% 101.13/13.13 fof(f577,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X3)|~r1(X3,sk0_4(X2,sk0_1(X0,X1),X0))|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_0,X1)|~r1(X1,X0))),
% 101.13/13.13 inference(resolution,[status(thm)],[f569,f14])).
% 101.13/13.13 fof(f578,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_0,X0)|~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X3)|~r1(X3,sk0_4(X2,sk0_1(X0,X1),X0))|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0))),
% 101.13/13.13 inference(duplicate_literals_removal,[status(esa)],[f577])).
% 101.13/13.13 fof(f579,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X3)|~r1(X3,sk0_4(X2,sk0_1(X0,X1),X0))|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0))),
% 101.13/13.13 inference(forward_subsumption_resolution,[status(thm)],[f578,f8])).
% 101.13/13.13 fof(f582,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_0,X0)|~r1(X0,sk0_1(X0,X1))|~r1(sk0_1(X0,X1),X3)|p2(X3)|~p2(sk0_1(X0,X1))|~r1(sk0_1(X0,X1),X2))),
% 101.13/13.13 inference(resolution,[status(thm)],[f579,f22])).
% 101.13/13.13 fof(f583,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_0,X0)|~r1(X0,sk0_1(X0,X1))|~r1(sk0_1(X0,X1),X3)|p2(X3)|~p2(sk0_1(X0,X1)))),
% 101.13/13.13 inference(duplicate_literals_removal,[status(esa)],[f582])).
% 101.13/13.13 fof(f584,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(X0,sk0_1(X0,X1))|~r1(sk0_1(X0,X1),X3)|p2(X3)|~p2(sk0_1(X0,X1)))),
% 101.13/13.13 inference(forward_subsumption_resolution,[status(thm)],[f583,f8])).
% 101.13/13.13 fof(f639,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_1(X0,X1),X3)|p2(X3)|~p2(sk0_1(X0,X1)))),
% 101.13/13.13 inference(forward_subsumption_resolution,[status(thm)],[f584,f14])).
% 101.13/13.13 fof(f640,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_1(X0,X1),sk0_11(X3))|~p2(sk0_1(X0,X1))|~r1(sk0_10,X3))),
% 101.13/13.13 inference(resolution,[status(thm)],[f639,f34])).
% 101.13/13.13 fof(f641,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_1(X0,X1),sk0_11(X3))|~r1(sk0_10,X3))),
% 101.13/13.13 inference(forward_subsumption_resolution,[status(thm)],[f640,f17])).
% 101.13/13.13 fof(f646,plain,(
% 101.13/13.13 ![X0,X1,X2]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_10,sk0_1(X0,X1))|~r1(sk0_10,sk0_1(X0,X1)))),
% 101.13/13.13 inference(resolution,[status(thm)],[f641,f33])).
% 101.13/13.13 fof(f647,plain,(
% 101.13/13.13 ![X0,X1,X2]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_10,sk0_1(X0,X1)))),
% 101.13/13.13 inference(duplicate_literals_removal,[status(esa)],[f646])).
% 101.13/13.13 fof(f654,plain,(
% 101.13/13.13 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_10,X3)|~r1(X3,sk0_1(X0,X1)))),
% 101.13/13.13 inference(resolution,[status(thm)],[f647,f8])).
% 101.13/13.13 fof(f656,plain,(
% 101.13/13.13 spl0_23 <=> ~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X0)),
% 101.13/13.13 introduced(split_symbol_definition)).
% 101.13/13.13 fof(f657,plain,(
% 101.13/13.13 ![X0]: (~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X0)|~spl0_23)),
% 101.13/13.13 inference(component_clause,[status(thm)],[f656])).
% 101.13/13.13 fof(f661,plain,(
% 101.13/13.13 ![X0,X1,X2]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0)|~r1(sk0_10,X0)|~r1(sk0_0,X1)|~r1(X1,X0))),
% 101.13/13.13 inference(resolution,[status(thm)],[f654,f14])).
% 101.13/13.13 fof(f662,plain,(
% 101.13/13.13 ![X0,X1,X2]: (~r1(sk0_1(X0,X1),X2)|~r1(sk0_0,X2)|~r1(sk0_0,X1)|~r1(X1,X0)|~r1(sk0_10,X0))),
% 101.13/13.13 inference(duplicate_literals_removal,[status(esa)],[f661])).
% 101.13/13.13 fof(f683,plain,(
% 101.13/13.13 ![X0,X1]: (~r1(sk0_1(sk0_10,X0),X1)|~r1(sk0_0,X1)|~r1(sk0_0,X0)|~r1(X0,sk0_10))),
% 101.13/13.13 inference(resolution,[status(thm)],[f662,f5])).
% 101.13/13.13 fof(f690,plain,(
% 101.13/13.13 ![X0]: (~r1(sk0_1(sk0_10,sk0_10),X0)|~r1(sk0_0,X0)|~r1(sk0_0,sk0_10))),
% 101.13/13.13 inference(resolution,[status(thm)],[f683,f5])).
% 101.13/13.13 fof(f691,plain,(
% 101.13/13.13 spl0_23|~spl0_9),
% 101.13/13.13 inference(split_clause,[status(thm)],[f690,f656,f456])).
% 101.13/13.13 fof(f770,plain,(
% 101.13/13.13 spl0_32 <=> r1(sk0_1(sk0_10,sk0_10),sk0_1(sk0_10,sk0_10))),
% 101.13/13.13 introduced(split_symbol_definition)).
% 101.13/13.13 fof(f772,plain,(
% 101.13/13.13 ~r1(sk0_1(sk0_10,sk0_10),sk0_1(sk0_10,sk0_10))|spl0_32),
% 101.13/13.13 inference(component_clause,[status(thm)],[f770])).
% 101.13/13.13 fof(f782,plain,(
% 101.13/13.13 $false|spl0_32),
% 101.13/13.13 inference(forward_subsumption_resolution,[status(thm)],[f772,f5])).
% 101.13/13.13 fof(f783,plain,(
% 101.13/13.13 spl0_32),
% 101.13/13.13 inference(contradiction_clause,[status(thm)],[f782])).
% 101.13/13.13 fof(f1644,plain,(
% 101.13/13.13 ~r1(sk0_0,sk0_1(sk0_10,sk0_10))|~spl0_23),
% 101.13/13.13 inference(resolution,[status(thm)],[f657,f5])).
% 101.13/13.13 fof(f1645,plain,(
% 101.13/13.13 ~spl0_12|~spl0_23),
% 101.13/13.13 inference(split_clause,[status(thm)],[f1644,f474,f656])).
% 101.13/13.13 fof(f1646,plain,(
% 101.13/13.13 $false),
% 101.13/13.13 inference(sat_refutation,[status(thm)],[f462,f483,f486,f691,f783,f1645])).
% 101.13/13.13 % SZS output end CNFRefutation for theBenchmark.p
% 101.73/13.20 % Elapsed time: 12.849338 seconds
% 101.73/13.20 % CPU time: 101.712132 seconds
% 101.73/13.20 % Total memory used: 198.977 MB
% 101.73/13.20 % Net memory used: 192.814 MB
%------------------------------------------------------------------------------