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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:10:57 PM UTC 2026

% Result   : Theorem 165.95s 21.50s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n010.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 00:59:09 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.36  % Drodi V4.1.1
% 165.95/21.50  % Refutation found
% 165.95/21.50  % SZS status Theorem for theBenchmark: Theorem is valid
% 165.95/21.50  % SZS output start CNFRefutation for theBenchmark
% 165.95/21.50  fof(f1,axiom,(
% 165.95/21.50    (! [X] : r1(X,X) )),
% 165.95/21.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 165.95/21.50  fof(f2,axiom,(
% 165.95/21.50    (! [X,Y,Z] :( ( r1(X,Y)& r1(Y,Z) )=> r1(X,Z) ) )),
% 165.95/21.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 165.95/21.50  fof(f3,conjecture,(
% 165.95/21.50    ~ (? [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) ) )) )) )),
% 165.95/21.50    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 165.95/21.50  fof(f4,negated_conjecture,(
% 165.95/21.50    ~(~ (? [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) ) )) )) ))),
% 165.95/21.50    inference(negated_conjecture,[status(cth)],[f3])).
% 165.95/21.50  fof(f5,plain,(
% 165.95/21.50    ![X0]: (r1(X0,X0))),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f1])).
% 165.95/21.50  fof(f6,plain,(
% 165.95/21.50    ![X,Y,Z]: ((~r1(X,Y)|~r1(Y,Z))|r1(X,Z))),
% 165.95/21.50    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 165.95/21.50  fof(f7,plain,(
% 165.95/21.50    ![X,Z]: ((![Y]: (~r1(X,Y)|~r1(Y,Z)))|r1(X,Z))),
% 165.95/21.50    inference(miniscoping,[status(thm)],[f6])).
% 165.95/21.50  fof(f8,plain,(
% 165.95/21.50    ![X0,X1,X2]: (~r1(X0,X1)|~r1(X1,X2)|r1(X0,X2))),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f7])).
% 165.95/21.50  fof(f9,plain,(
% 165.95/21.50    ?[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))))))),
% 165.95/21.50    inference(pre_NNF_transformation,[status(thm)],[f4])).
% 165.95/21.50  fof(f10,definition,(
% 165.95/21.50    ![Y,X]: (sP0_prd(X,Y)<=>(r1(Y,X)&~p1(X)))),
% 165.95/21.50    introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 165.95/21.50  fof(f11,plain,(
% 165.95/21.50    ?[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]: sP0_prd(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))))))),
% 165.95/21.50    inference(formula_renaming,[status(thm)],[f9,f10])).
% 165.95/21.50  fof(f12,plain,(
% 165.95/21.50    ((((((![Y]: (~r1(sK0_skl,Y)|~p4(Y)))&(![Y]: (~r1(sK0_skl,Y)|((![X]: (~r1(Y,X)|((r1(X,sK1_skl(X,Y))&(r1(sK1_skl(X,Y),sK2_skl(X,Y))&~p3(sK2_skl(X,Y))))&p2(sK1_skl(X,Y)))))&(![X]: (~r1(Y,X)|(((![Y]: (~r1(X,Y)|((r1(Y,sK3_skl(Y,X,Y))&~p3(sK3_skl(Y,X,Y)))&p2(Y))))|~p2(X))|(![Y]: (~r1(X,Y)|(r1(Y,sK4_skl(Y,X,Y))&(![Y]: (~r1(sK4_skl(Y,X,Y),Y)|~p2(Y)))))))))))))&((p1(sK0_skl)|(![Y]: (~r1(sK0_skl,Y)|sP0_prd(sK5_skl(Y),Y))))|((r1(sK0_skl,sK6_skl)&~p1(sK6_skl))&(![X]: (~r1(sK6_skl,X)|((![Y]: (~r1(X,Y)|p1(Y)))|~p1(X)))))))&((r1(sK0_skl,sK7_skl)&(r1(sK7_skl,sK8_skl)&(![Y]: (~r1(sK8_skl,Y)|p1(Y)))))&(r1(sK7_skl,sK9_skl)&~p1(sK9_skl))))&(r1(sK0_skl,sK10_skl)&(![X]: (~r1(sK10_skl,X)|(r1(X,sK11_skl(X))&~p2(sK11_skl(X)))))))&(![Y]: ((~r1(sK0_skl,Y)|(![X]: (~r1(Y,X)|(![Y]: (~r1(X,Y)|~p1(Y))))))|(r1(Y,sK12_skl(Y))&p1(sK12_skl(Y))))))),
% 165.95/21.50    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl(X,Y)),skolemize(X,sK2_skl(X,Y)),skolemize(X,sK3_skl(Y,X,Y)),skolemize(X,sK4_skl(Y,X,Y)),skolemize(X,sK5_skl(Y)),skolemize(Y,sK6_skl),skolemize(Y,sK7_skl),skolemize(X,sK8_skl),skolemize(X,sK9_skl),skolemize(Y,sK10_skl),skolemize(Y,sK11_skl(X)),skolemize(X,sK12_skl(Y))],[f11])).
% 165.95/21.50  fof(f14,plain,(
% 165.95/21.50    ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|r1(X1,sK1_skl(X1,X0)))),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f12])).
% 165.95/21.50  fof(f17,plain,(
% 165.95/21.50    ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|p2(sK1_skl(X1,X0)))),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f12])).
% 165.95/21.50  fof(f22,plain,(
% 165.95/21.50    ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~r1(X1,X3)|r1(X3,sK4_skl(X3,X1,X0)))),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f12])).
% 165.95/21.50  fof(f23,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~r1(X1,X3)|~r1(sK4_skl(X3,X1,X0),X4)|~p2(X4))),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f12])).
% 165.95/21.50  fof(f32,plain,(
% 165.95/21.50    r1(sK0_skl,sK10_skl)),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f12])).
% 165.95/21.50  fof(f33,plain,(
% 165.95/21.50    ![X0]: (~r1(sK10_skl,X0)|r1(X0,sK11_skl(X0)))),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f12])).
% 165.95/21.50  fof(f34,plain,(
% 165.95/21.50    ![X0]: (~r1(sK10_skl,X0)|~p2(sK11_skl(X0)))),
% 165.95/21.50    inference(cnf_transformation,[status(thm)],[f12])).
% 165.95/21.50  fof(f77,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(X0,sK1_skl(X1,X2))|~r1(sK1_skl(X1,X2),X3)|p2(X3)|~r1(sK1_skl(X1,X2),X4)|r1(X4,sK4_skl(X4,sK1_skl(X1,X2),X0))|~r1(sK0_skl,X2)|~r1(X2,X1))),
% 165.95/21.50    inference(resolution,[status(thm)],[f22,f17])).
% 165.95/21.50  fof(f78,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4,X5]: (~r1(sK0_skl,X0)|~r1(X0,X1)|~r1(X1,X2)|p2(X2)|~p2(X1)|~r1(X1,X3)|~r1(sK4_skl(X3,X1,X0),sK1_skl(X4,X5))|~r1(sK0_skl,X5)|~r1(X5,X4))),
% 165.95/21.50    inference(resolution,[status(thm)],[f23,f17])).
% 165.95/21.50  fof(f154,plain,(
% 165.95/21.50    ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(sK1_skl(X0,X1),X2)|p2(X2)|~r1(sK1_skl(X0,X1),X3)|r1(X3,sK4_skl(X3,sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0)|~r1(sK0_skl,X1)|~r1(X1,X0))),
% 165.95/21.50    inference(resolution,[status(thm)],[f77,f14])).
% 165.95/21.50  fof(f157,plain,(
% 165.95/21.50    ![X0,X1,X2,X3]: (~r1(sK0_skl,X0)|~r1(sK1_skl(X0,X1),X2)|p2(X2)|~r1(sK1_skl(X0,X1),X3)|r1(X3,sK4_skl(X3,sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0))),
% 165.95/21.50    inference(duplicate_literals_removal,[status(thm)],[f154])).
% 165.95/21.50  fof(f158,plain,(
% 165.95/21.50    ![X0,X1,X2,X3]: (~r1(sK1_skl(X0,X1),X2)|p2(X2)|~r1(sK1_skl(X0,X1),X3)|r1(X3,sK4_skl(X3,sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0))),
% 165.95/21.50    inference(forward_subsumption_resolution,[status(thm)],[f157,f8])).
% 165.95/21.50  fof(f159,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4,X5,X6]: (~r1(sK0_skl,X0)|~r1(X0,sK1_skl(X1,X2))|~r1(sK1_skl(X1,X2),X3)|p2(X3)|~r1(sK1_skl(X1,X2),X4)|~r1(sK4_skl(X4,sK1_skl(X1,X2),X0),sK1_skl(X5,X6))|~r1(sK0_skl,X6)|~r1(X6,X5)|~r1(sK0_skl,X2)|~r1(X2,X1))),
% 165.95/21.50    inference(resolution,[status(thm)],[f78,f17])).
% 165.95/21.50  fof(f289,plain,(
% 165.95/21.50    ![X0,X1,X2]: (~r1(sK1_skl(X0,X1),X2)|p2(X2)|r1(sK1_skl(X0,X1),sK4_skl(sK1_skl(X0,X1),sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0))),
% 165.95/21.50    inference(resolution,[status(thm)],[f158,f5])).
% 165.95/21.50  fof(f299,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4,X5]: (~r1(sK0_skl,X0)|~r1(X0,sK1_skl(X1,X2))|~r1(sK1_skl(X1,X2),X3)|p2(X3)|~r1(sK1_skl(X1,X2),X4)|~r1(sK0_skl,X5)|~r1(X5,sK4_skl(X4,sK1_skl(X1,X2),X0))|~r1(sK0_skl,X2)|~r1(X2,X1)|~r1(sK0_skl,X5)|~r1(X5,sK4_skl(X4,sK1_skl(X1,X2),X0)))),
% 165.95/21.50    inference(resolution,[status(thm)],[f159,f14])).
% 165.95/21.50  fof(f301,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4,X5]: (~r1(sK0_skl,X0)|~r1(X0,sK1_skl(X1,X2))|~r1(sK1_skl(X1,X2),X3)|p2(X3)|~r1(sK1_skl(X1,X2),X4)|~r1(sK0_skl,X5)|~r1(X5,sK4_skl(X4,sK1_skl(X1,X2),X0))|~r1(sK0_skl,X2)|~r1(X2,X1))),
% 165.95/21.50    inference(duplicate_literals_removal,[status(thm)],[f299])).
% 165.95/21.50  fof(f610,plain,(
% 165.95/21.50    ![X0,X1]: (p2(sK11_skl(sK1_skl(X0,X1)))|r1(sK1_skl(X0,X1),sK4_skl(sK1_skl(X0,X1),sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0)|~r1(sK10_skl,sK1_skl(X0,X1)))),
% 165.95/21.50    inference(resolution,[status(thm)],[f289,f33])).
% 165.95/21.50  fof(f615,plain,(
% 165.95/21.50    ![X0,X1]: (r1(sK1_skl(X0,X1),sK4_skl(sK1_skl(X0,X1),sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0)|~r1(sK10_skl,sK1_skl(X0,X1)))),
% 165.95/21.50    inference(forward_subsumption_resolution,[status(thm)],[f610,f34])).
% 165.95/21.50  fof(f665,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(sK1_skl(X0,X1),X2)|p2(X2)|~r1(sK1_skl(X0,X1),X3)|~r1(sK0_skl,X4)|~r1(X4,sK4_skl(X3,sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0)|~r1(sK0_skl,X1)|~r1(X1,X0))),
% 165.95/21.50    inference(resolution,[status(thm)],[f301,f14])).
% 165.95/21.50  fof(f668,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4]: (~r1(sK0_skl,X0)|~r1(sK1_skl(X0,X1),X2)|p2(X2)|~r1(sK1_skl(X0,X1),X3)|~r1(sK0_skl,X4)|~r1(X4,sK4_skl(X3,sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0))),
% 165.95/21.50    inference(duplicate_literals_removal,[status(thm)],[f665])).
% 165.95/21.50  fof(f669,plain,(
% 165.95/21.50    ![X0,X1,X2,X3,X4]: (~r1(sK1_skl(X0,X1),X2)|p2(X2)|~r1(sK1_skl(X0,X1),X3)|~r1(sK0_skl,X4)|~r1(X4,sK4_skl(X3,sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0))),
% 165.95/21.50    inference(forward_subsumption_resolution,[status(thm)],[f668,f8])).
% 165.95/21.50  fof(f1504,plain,(
% 165.95/21.50    ![X0]: (r1(sK1_skl(sK10_skl,X0),sK4_skl(sK1_skl(sK10_skl,X0),sK1_skl(sK10_skl,X0),sK10_skl))|~r1(sK0_skl,X0)|~r1(X0,sK10_skl)|~r1(sK0_skl,X0)|~r1(X0,sK10_skl))),
% 165.95/21.50    inference(resolution,[status(thm)],[f615,f14])).
% 165.95/21.50  fof(f1506,plain,(
% 165.95/21.50    ![X0]: (r1(sK1_skl(sK10_skl,X0),sK4_skl(sK1_skl(sK10_skl,X0),sK1_skl(sK10_skl,X0),sK10_skl))|~r1(sK0_skl,X0)|~r1(X0,sK10_skl))),
% 165.95/21.50    inference(duplicate_literals_removal,[status(thm)],[f1504])).
% 165.95/21.50  fof(f1654,plain,(
% 165.95/21.50    ![X0,X1,X2,X3]: (~r1(sK1_skl(X0,X1),X2)|p2(X2)|~r1(sK0_skl,X3)|~r1(X3,sK4_skl(sK1_skl(X0,X1),sK1_skl(X0,X1),X0))|~r1(sK0_skl,X1)|~r1(X1,X0))),
% 165.95/21.50    inference(resolution,[status(thm)],[f669,f5])).
% 165.95/21.50  fof(f4070,plain,(
% 165.95/21.50    r1(sK1_skl(sK10_skl,sK10_skl),sK4_skl(sK1_skl(sK10_skl,sK10_skl),sK1_skl(sK10_skl,sK10_skl),sK10_skl))|~r1(sK0_skl,sK10_skl)),
% 165.95/21.50    inference(resolution,[status(thm)],[f1506,f5])).
% 165.95/21.50  fof(f4072,plain,(
% 165.95/21.50    r1(sK1_skl(sK10_skl,sK10_skl),sK4_skl(sK1_skl(sK10_skl,sK10_skl),sK1_skl(sK10_skl,sK10_skl),sK10_skl))),
% 165.95/21.50    inference(forward_subsumption_resolution,[status(thm)],[f4070,f32])).
% 165.95/21.50  fof(f5023,plain,(
% 165.95/21.50    ![X0]: (~r1(sK1_skl(sK10_skl,sK10_skl),X0)|p2(X0)|~r1(sK0_skl,sK1_skl(sK10_skl,sK10_skl))|~r1(sK0_skl,sK10_skl)|~r1(sK10_skl,sK10_skl))),
% 165.95/21.50    inference(resolution,[status(thm)],[f1654,f4072])).
% 165.95/21.50  fof(f5027,plain,(
% 165.95/21.50    ![X0]: (~r1(sK1_skl(sK10_skl,sK10_skl),X0)|p2(X0)|~r1(sK0_skl,sK1_skl(sK10_skl,sK10_skl))|~r1(sK0_skl,sK10_skl))),
% 165.95/21.50    inference(forward_subsumption_resolution,[status(thm)],[f5023,f5])).
% 165.95/21.50  fof(f5056,plain,(
% 165.95/21.50    ![X0]: (~r1(sK1_skl(sK10_skl,sK10_skl),X0)|p2(X0)|~r1(sK0_skl,sK1_skl(sK10_skl,sK10_skl)))),
% 165.95/21.50    inference(forward_subsumption_resolution,[status(thm)],[f5027,f32])).
% 165.95/21.50  fof(f5057,plain,(
% 165.95/21.50    ![X0,X1]: (~r1(sK1_skl(sK10_skl,sK10_skl),X0)|p2(X0)|~r1(sK0_skl,X1)|~r1(X1,sK1_skl(sK10_skl,sK10_skl)))),
% 165.95/21.50    inference(resolution,[status(thm)],[f5056,f8])).
% 165.95/21.50  fof(f5058,plain,(
% 165.95/21.50    ![X0]: (~r1(sK1_skl(sK10_skl,sK10_skl),X0)|p2(X0)|~r1(sK0_skl,sK10_skl)|~r1(sK0_skl,sK10_skl)|~r1(sK10_skl,sK10_skl))),
% 165.95/21.50    inference(resolution,[status(thm)],[f5057,f14])).
% 165.95/21.50  fof(f5061,plain,(
% 165.95/21.50    ![X0]: (~r1(sK1_skl(sK10_skl,sK10_skl),X0)|p2(X0)|~r1(sK0_skl,sK10_skl)|~r1(sK10_skl,sK10_skl))),
% 165.95/21.50    inference(duplicate_literals_removal,[status(thm)],[f5058])).
% 166.71/21.53  fof(f5062,plain,(
% 166.71/21.53    ![X0]: (~r1(sK1_skl(sK10_skl,sK10_skl),X0)|p2(X0)|~r1(sK0_skl,sK10_skl))),
% 166.71/21.53    inference(forward_subsumption_resolution,[status(thm)],[f5061,f5])).
% 166.71/21.53  fof(f5063,plain,(
% 166.71/21.53    ![X0]: (~r1(sK1_skl(sK10_skl,sK10_skl),X0)|p2(X0))),
% 166.71/21.53    inference(forward_subsumption_resolution,[status(thm)],[f5062,f32])).
% 166.71/21.53  fof(f5066,plain,(
% 166.71/21.53    p2(sK11_skl(sK1_skl(sK10_skl,sK10_skl)))|~r1(sK10_skl,sK1_skl(sK10_skl,sK10_skl))),
% 166.71/21.53    inference(resolution,[status(thm)],[f5063,f33])).
% 166.71/21.53  fof(f5071,plain,(
% 166.71/21.53    ~r1(sK10_skl,sK1_skl(sK10_skl,sK10_skl))),
% 166.71/21.53    inference(forward_subsumption_resolution,[status(thm)],[f5066,f34])).
% 166.71/21.53  fof(f5085,plain,(
% 166.71/21.53    ~r1(sK0_skl,sK10_skl)|~r1(sK10_skl,sK10_skl)),
% 166.71/21.53    inference(resolution,[status(thm)],[f5071,f14])).
% 166.71/21.53  fof(f5087,plain,(
% 166.71/21.53    ~r1(sK10_skl,sK10_skl)),
% 166.71/21.53    inference(forward_subsumption_resolution,[status(thm)],[f5085,f32])).
% 166.71/21.53  fof(f5088,plain,(
% 166.71/21.53    $false),
% 166.71/21.53    inference(forward_subsumption_resolution,[status(thm)],[f5087,f5])).
% 166.71/21.53  % SZS output end CNFRefutation for theBenchmark.p
% 130.16/21.62  % Elapsed time: 21.248851 seconds
% 130.16/21.62  % CPU time: 167.233194 seconds
% 130.16/21.62  % Total memory used: 279.109 MB
% 130.16/21.62  % Net memory used: 218.313 MB
%------------------------------------------------------------------------------