TSTP Solution File: LCL686+1.005 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:20:13 EDT 2023

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:00:49 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38  fof(f1,axiom,(
% 0.13/0.38    (! [X] : r1(X,X) )),
% 0.13/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38  fof(f3,conjecture,(
% 0.13/0.38    ~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| ~ p15(Y)| (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p14(Y)& ~ p13(Y) )| ( ~ p14(Y)& p13(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p13(X)& ~ p12(X) )| ( ~ p13(X)& p12(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p12(Y)& ~ p11(Y) )| ( ~ p12(Y)& p11(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p11(X)& ~ p10(X) )| ( ~ p11(X)& p10(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p10(Y)& ~ p9(Y) )| ( ~ p10(Y)& p9(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p9(X)& ~ p8(X) )| ( ~ p9(X)& p8(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p8(Y)& ~ p7(Y) )| ( ~ p8(Y)& p7(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p7(X)& ~ p6(X) )| ( ~ p7(X)& p6(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p6(Y)& ~ p5(Y) )| ( ~ p6(Y)& p5(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p5(X)& ~ p4(X) )| ( ~ p5(X)& p4(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p4(Y)& ~ p3(Y) )| ( ~ p4(Y)& p3(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p3(X)& ~ p2(X) )| ( ~ p3(X)& p2(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p2(Y)& ~ p1(Y) )| ( ~ p2(Y)& p1(Y) ) ) ))| (! [Y] :( ~ r1(X,Y)| p15(Y) ))| (! [Y] :( ~ r1(X,Y)| ( ~ p13(Y)& ~ p14(Y) )| ( p14(Y)& p13(Y) )| ( ~ p12(Y)& ~ p13(Y) )| ( p13(Y)& p12(Y) )| ( ~ p11(Y)& ~ p12(Y) )| ( p12(Y)& p11(Y) )| ( ~ p10(Y)& ~ p11(Y) )| ( p11(Y)& p10(Y) )| ( ~ p9(Y)& ~ p10(Y) )| ( p10(Y)& p9(Y) )| ( ~ p8(Y)& ~ p9(Y) )| ( p9(Y)& p8(Y) )| ( ~ p7(Y)& ~ p8(Y) )| ( p8(Y)& p7(Y) )| ( ~ p6(Y)& ~ p7(Y) )| ( p7(Y)& p6(Y) )| ( ~ p5(Y)& ~ p6(Y) )| ( p6(Y)& p5(Y) )| ( ~ p4(Y)& ~ p5(Y) )| ( p5(Y)& p4(Y) )| ( ~ p3(Y)& ~ p4(Y) )| ( p4(Y)& p3(Y) )| ( ~ p2(Y)& ~ p3(Y) )| ( p3(Y)& p2(Y) )| ( ~ p1(Y)& ~ p2(Y) )| ( p2(Y)& p1(Y) ) ) )) ) )) )) )),
% 0.13/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38  fof(f4,negated_conjecture,(
% 0.13/0.38    ~(~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| ~ p15(Y)| (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ ( (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p14(Y)& ~ p13(Y) )| ( ~ p14(Y)& p13(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p13(X)& ~ p12(X) )| ( ~ p13(X)& p12(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p12(Y)& ~ p11(Y) )| ( ~ p12(Y)& p11(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p11(X)& ~ p10(X) )| ( ~ p11(X)& p10(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p10(Y)& ~ p9(Y) )| ( ~ p10(Y)& p9(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p9(X)& ~ p8(X) )| ( ~ p9(X)& p8(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p8(Y)& ~ p7(Y) )| ( ~ p8(Y)& p7(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p7(X)& ~ p6(X) )| ( ~ p7(X)& p6(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p6(Y)& ~ p5(Y) )| ( ~ p6(Y)& p5(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p5(X)& ~ p4(X) )| ( ~ p5(X)& p4(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p4(Y)& ~ p3(Y) )| ( ~ p4(Y)& p3(Y) ) ) ) )))| ~ (! [X] :( ~ r1(Y,X)| ~ ( ( p3(X)& ~ p2(X) )| ( ~ p3(X)& p2(X) ) ) ) )))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p2(Y)& ~ p1(Y) )| ( ~ p2(Y)& p1(Y) ) ) ))| (! [Y] :( ~ r1(X,Y)| p15(Y) ))| (! [Y] :( ~ r1(X,Y)| ( ~ p13(Y)& ~ p14(Y) )| ( p14(Y)& p13(Y) )| ( ~ p12(Y)& ~ p13(Y) )| ( p13(Y)& p12(Y) )| ( ~ p11(Y)& ~ p12(Y) )| ( p12(Y)& p11(Y) )| ( ~ p10(Y)& ~ p11(Y) )| ( p11(Y)& p10(Y) )| ( ~ p9(Y)& ~ p10(Y) )| ( p10(Y)& p9(Y) )| ( ~ p8(Y)& ~ p9(Y) )| ( p9(Y)& p8(Y) )| ( ~ p7(Y)& ~ p8(Y) )| ( p8(Y)& p7(Y) )| ( ~ p6(Y)& ~ p7(Y) )| ( p7(Y)& p6(Y) )| ( ~ p5(Y)& ~ p6(Y) )| ( p6(Y)& p5(Y) )| ( ~ p4(Y)& ~ p5(Y) )| ( p5(Y)& p4(Y) )| ( ~ p3(Y)& ~ p4(Y) )| ( p4(Y)& p3(Y) )| ( ~ p2(Y)& ~ p3(Y) )| ( p3(Y)& p2(Y) )| ( ~ p1(Y)& ~ p2(Y) )| ( p2(Y)& p1(Y) ) ) )) ) )) )) ))),
% 0.13/0.38    inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.38  fof(f5,plain,(
% 0.13/0.38    ![X0]: (r1(X0,X0))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.38  fof(f9,plain,(
% 0.13/0.38    ?[X]: ((?[Y]: ((r1(X,Y)&p15(Y))&(?[X]: (r1(Y,X)&p1(X)))))&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|((((?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&$true)))&(![Y]: (~r1(X,Y)|((~p14(Y)|p13(Y))&(p14(Y)|~p13(Y))))))))&(![X]: (~r1(Y,X)|((~p13(X)|p12(X))&(p13(X)|~p12(X))))))))&(![Y]: (~r1(X,Y)|((~p12(Y)|p11(Y))&(p12(Y)|~p11(Y))))))))&(![X]: (~r1(Y,X)|((~p11(X)|p10(X))&(p11(X)|~p10(X))))))))&(![Y]: (~r1(X,Y)|((~p10(Y)|p9(Y))&(p10(Y)|~p9(Y))))))))&(![X]: (~r1(Y,X)|((~p9(X)|p8(X))&(p9(X)|~p8(X))))))))&(![Y]: (~r1(X,Y)|((~p8(Y)|p7(Y))&(p8(Y)|~p7(Y))))))))&(![X]: (~r1(Y,X)|((~p7(X)|p6(X))&(p7(X)|~p6(X))))))))&(![Y]: (~r1(X,Y)|((~p6(Y)|p5(Y))&(p6(Y)|~p5(Y))))))))&(![X]: (~r1(Y,X)|((~p5(X)|p4(X))&(p5(X)|~p4(X))))))))&(![Y]: (~r1(X,Y)|((~p4(Y)|p3(Y))&(p4(Y)|~p3(Y))))))))&(![X]: (~r1(Y,X)|((~p3(X)|p2(X))&(p3(X)|~p2(X)))))))&(![Y]: (~r1(X,Y)|((~p2(Y)|p1(Y))&(p2(Y)|~p1(Y))))))&(?[Y]: (r1(X,Y)&~p15(Y))))&(?[Y]: ((((((((((((((((((((((((((r1(X,Y)&(p13(Y)|p14(Y)))&(~p14(Y)|~p13(Y)))&(p12(Y)|p13(Y)))&(~p13(Y)|~p12(Y)))&(p11(Y)|p12(Y)))&(~p12(Y)|~p11(Y)))&(p10(Y)|p11(Y)))&(~p11(Y)|~p10(Y)))&(p9(Y)|p10(Y)))&(~p10(Y)|~p9(Y)))&(p8(Y)|p9(Y)))&(~p9(Y)|~p8(Y)))&(p7(Y)|p8(Y)))&(~p8(Y)|~p7(Y)))&(p6(Y)|p7(Y)))&(~p7(Y)|~p6(Y)))&(p5(Y)|p6(Y)))&(~p6(Y)|~p5(Y)))&(p4(Y)|p5(Y)))&(~p5(Y)|~p4(Y)))&(p3(Y)|p4(Y)))&(~p4(Y)|~p3(Y)))&(p2(Y)|p3(Y)))&(~p3(Y)|~p2(Y)))&(p1(Y)|p2(Y)))&(~p2(Y)|~p1(Y))))))))))),
% 0.13/0.38    inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.38  fof(f10,plain,(
% 0.13/0.38    ?[X]: ((?[Y]: ((r1(X,Y)&p15(Y))&(?[X]: (r1(Y,X)&p1(X)))))&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|((((?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&(?[Y]: ((r1(X,Y)&(?[X]: ((r1(Y,X)&((?[Y]: r1(X,Y))&$true))&(![Y]: (~r1(X,Y)|((~p14(Y)|p13(Y))&(p14(Y)|~p13(Y))))))))&(![X]: (~r1(Y,X)|((~p13(X)|p12(X))&(p13(X)|~p12(X))))))))&(![Y]: (~r1(X,Y)|((~p12(Y)|p11(Y))&(p12(Y)|~p11(Y))))))))&(![X]: (~r1(Y,X)|((~p11(X)|p10(X))&(p11(X)|~p10(X))))))))&(![Y]: (~r1(X,Y)|((~p10(Y)|p9(Y))&(p10(Y)|~p9(Y))))))))&(![X]: (~r1(Y,X)|((~p9(X)|p8(X))&(p9(X)|~p8(X))))))))&(![Y]: (~r1(X,Y)|((~p8(Y)|p7(Y))&(p8(Y)|~p7(Y))))))))&(![X]: (~r1(Y,X)|((~p7(X)|p6(X))&(p7(X)|~p6(X))))))))&(![Y]: (~r1(X,Y)|((~p6(Y)|p5(Y))&(p6(Y)|~p5(Y))))))))&(![X]: (~r1(Y,X)|((~p5(X)|p4(X))&(p5(X)|~p4(X))))))))&(![Y]: (~r1(X,Y)|((~p4(Y)|p3(Y))&(p4(Y)|~p3(Y))))))))&(![X]: (~r1(Y,X)|((~p3(X)|p2(X))&(p3(X)|~p2(X)))))))&(![Y]: (~r1(X,Y)|((~p2(Y)|p1(Y))&(p2(Y)|~p1(Y))))))&(?[Y]: (r1(X,Y)&~p15(Y))))&(?[Y]: ((((((((((((((((((((((((((r1(X,Y)&(p13(Y)|p14(Y)))&(~p14(Y)|~p13(Y)))&(p12(Y)|p13(Y)))&(~p13(Y)|~p12(Y)))&(p11(Y)|p12(Y)))&(~p12(Y)|~p11(Y)))&(p10(Y)|p11(Y)))&(~p11(Y)|~p10(Y)))&(p9(Y)|p10(Y)))&(~p10(Y)|~p9(Y)))&(p8(Y)|p9(Y)))&(~p9(Y)|~p8(Y)))&(p7(Y)|p8(Y)))&(~p8(Y)|~p7(Y)))&(p6(Y)|p7(Y)))&(~p7(Y)|~p6(Y)))&(p5(Y)|p6(Y)))&(~p6(Y)|~p5(Y)))&(p4(Y)|p5(Y)))&(~p5(Y)|~p4(Y)))&(p3(Y)|p4(Y)))&(~p4(Y)|~p3(Y)))&(p2(Y)|p3(Y)))&(~p3(Y)|~p2(Y)))&(p1(Y)|p2(Y)))&(~p2(Y)|~p1(Y))))))))))),
% 0.13/0.38    inference(miniscoping,[status(esa)],[f9])).
% 0.13/0.38  fof(f11,plain,(
% 0.13/0.38    (((r1(sk0_0,sk0_1)&p15(sk0_1))&(r1(sk0_1,sk0_2)&p1(sk0_2)))&(r1(sk0_0,sk0_3)&(![X]: (~r1(sk0_3,X)|(((((r1(X,sk0_4(X))&((r1(sk0_4(X),sk0_5(X))&((r1(sk0_5(X),sk0_6(X))&((r1(sk0_6(X),sk0_7(X))&((r1(sk0_7(X),sk0_8(X))&((r1(sk0_8(X),sk0_9(X))&((r1(sk0_9(X),sk0_10(X))&((r1(sk0_10(X),sk0_11(X))&((r1(sk0_11(X),sk0_12(X))&((r1(sk0_12(X),sk0_13(X))&((r1(sk0_13(X),sk0_14(X))&((r1(sk0_14(X),sk0_15(X))&(r1(sk0_15(X),sk0_16(X))&$true))&(![Y]: (~r1(sk0_15(X),Y)|((~p14(Y)|p13(Y))&(p14(Y)|~p13(Y)))))))&(![X]: (~r1(sk0_14(X),X)|((~p13(X)|p12(X))&(p13(X)|~p12(X)))))))&(![Y]: (~r1(sk0_13(X),Y)|((~p12(Y)|p11(Y))&(p12(Y)|~p11(Y)))))))&(![X]: (~r1(sk0_12(X),X)|((~p11(X)|p10(X))&(p11(X)|~p10(X)))))))&(![Y]: (~r1(sk0_11(X),Y)|((~p10(Y)|p9(Y))&(p10(Y)|~p9(Y)))))))&(![X]: (~r1(sk0_10(X),X)|((~p9(X)|p8(X))&(p9(X)|~p8(X)))))))&(![Y]: (~r1(sk0_9(X),Y)|((~p8(Y)|p7(Y))&(p8(Y)|~p7(Y)))))))&(![X]: (~r1(sk0_8(X),X)|((~p7(X)|p6(X))&(p7(X)|~p6(X)))))))&(![Y]: (~r1(sk0_7(X),Y)|((~p6(Y)|p5(Y))&(p6(Y)|~p5(Y)))))))&(![X]: (~r1(sk0_6(X),X)|((~p5(X)|p4(X))&(p5(X)|~p4(X)))))))&(![Y]: (~r1(sk0_5(X),Y)|((~p4(Y)|p3(Y))&(p4(Y)|~p3(Y)))))))&(![X]: (~r1(sk0_4(X),X)|((~p3(X)|p2(X))&(p3(X)|~p2(X))))))&(![Y]: (~r1(X,Y)|((~p2(Y)|p1(Y))&(p2(Y)|~p1(Y))))))&(r1(X,sk0_17(X))&~p15(sk0_17(X))))&((((((((((((((((((((((((((r1(X,sk0_18(X))&(p13(sk0_18(X))|p14(sk0_18(X))))&(~p14(sk0_18(X))|~p13(sk0_18(X))))&(p12(sk0_18(X))|p13(sk0_18(X))))&(~p13(sk0_18(X))|~p12(sk0_18(X))))&(p11(sk0_18(X))|p12(sk0_18(X))))&(~p12(sk0_18(X))|~p11(sk0_18(X))))&(p10(sk0_18(X))|p11(sk0_18(X))))&(~p11(sk0_18(X))|~p10(sk0_18(X))))&(p9(sk0_18(X))|p10(sk0_18(X))))&(~p10(sk0_18(X))|~p9(sk0_18(X))))&(p8(sk0_18(X))|p9(sk0_18(X))))&(~p9(sk0_18(X))|~p8(sk0_18(X))))&(p7(sk0_18(X))|p8(sk0_18(X))))&(~p8(sk0_18(X))|~p7(sk0_18(X))))&(p6(sk0_18(X))|p7(sk0_18(X))))&(~p7(sk0_18(X))|~p6(sk0_18(X))))&(p5(sk0_18(X))|p6(sk0_18(X))))&(~p6(sk0_18(X))|~p5(sk0_18(X))))&(p4(sk0_18(X))|p5(sk0_18(X))))&(~p5(sk0_18(X))|~p4(sk0_18(X))))&(p3(sk0_18(X))|p4(sk0_18(X))))&(~p4(sk0_18(X))|~p3(sk0_18(X))))&(p2(sk0_18(X))|p3(sk0_18(X))))&(~p3(sk0_18(X))|~p2(sk0_18(X))))&(p1(sk0_18(X))|p2(sk0_18(X))))&(~p2(sk0_18(X))|~p1(sk0_18(X)))))))))),
% 0.13/0.38    inference(skolemization,[status(esa)],[f10])).
% 0.13/0.38  fof(f12,plain,(
% 0.13/0.38    ?[X]: ((?[Y]: ((r1(sk0_0,sk0_1)&p15(sk0_1))&(?[X]: (r1(sk0_1,sk0_2)&p1(sk0_2)))))&(?[Y]: (r1(sk0_0,sk0_3)&(![X]: (~r1(sk0_3,X)|((((?[Y]: ((r1(X,sk0_4(X))&(?[X]: ((r1(sk0_4(X),sk0_5(X))&(?[Y]: ((r1(sk0_5(X),sk0_6(X))&(?[X]: ((r1(sk0_6(X),sk0_7(X))&(?[Y]: ((r1(sk0_7(X),sk0_8(X))&(?[X]: ((r1(sk0_8(X),sk0_9(X))&(?[Y]: ((r1(sk0_9(X),sk0_10(X))&(?[X]: ((r1(sk0_10(X),sk0_11(X))&(?[Y]: ((r1(sk0_11(X),sk0_12(X))&(?[X]: ((r1(sk0_12(X),sk0_13(X))&(?[Y]: ((r1(sk0_13(X),sk0_14(X))&(?[X]: ((r1(sk0_14(X),sk0_15(X))&(?[Y]: r1(sk0_15(X),sk0_16(X))))&(![Y]: (~r1(sk0_15(X),Y)|((~p14(Y)|p13(Y))&(p14(Y)|~p13(Y))))))))&(![X]: (~r1(sk0_14(X),X)|((~p13(X)|p12(X))&(p13(X)|~p12(X))))))))&(![Y]: (~r1(sk0_13(X),Y)|((~p12(Y)|p11(Y))&(p12(Y)|~p11(Y))))))))&(![X]: (~r1(sk0_12(X),X)|((~p11(X)|p10(X))&(p11(X)|~p10(X))))))))&(![Y]: (~r1(sk0_11(X),Y)|((~p10(Y)|p9(Y))&(p10(Y)|~p9(Y))))))))&(![X]: (~r1(sk0_10(X),X)|((~p9(X)|p8(X))&(p9(X)|~p8(X))))))))&(![Y]: (~r1(sk0_9(X),Y)|((~p8(Y)|p7(Y))&(p8(Y)|~p7(Y))))))))&(![X]: (~r1(sk0_8(X),X)|((~p7(X)|p6(X))&(p7(X)|~p6(X))))))))&(![Y]: (~r1(sk0_7(X),Y)|((~p6(Y)|p5(Y))&(p6(Y)|~p5(Y))))))))&(![X]: (~r1(sk0_6(X),X)|((~p5(X)|p4(X))&(p5(X)|~p4(X))))))))&(![Y]: (~r1(sk0_5(X),Y)|((~p4(Y)|p3(Y))&(p4(Y)|~p3(Y))))))))&(![X]: (~r1(sk0_4(X),X)|((~p3(X)|p2(X))&(p3(X)|~p2(X)))))))&(![Y]: (~r1(X,Y)|((~p2(Y)|p1(Y))&(p2(Y)|~p1(Y))))))&(?[Y]: (r1(X,sk0_17(X))&~p15(sk0_17(X)))))&(?[Y]: ((((((((((((((((((((((((((r1(X,sk0_18(X))&(p13(sk0_18(X))|p14(sk0_18(X))))&(~p14(sk0_18(X))|~p13(sk0_18(X))))&(p12(sk0_18(X))|p13(sk0_18(X))))&(~p13(sk0_18(X))|~p12(sk0_18(X))))&(p11(sk0_18(X))|p12(sk0_18(X))))&(~p12(sk0_18(X))|~p11(sk0_18(X))))&(p10(sk0_18(X))|p11(sk0_18(X))))&(~p11(sk0_18(X))|~p10(sk0_18(X))))&(p9(sk0_18(X))|p10(sk0_18(X))))&(~p10(sk0_18(X))|~p9(sk0_18(X))))&(p8(sk0_18(X))|p9(sk0_18(X))))&(~p9(sk0_18(X))|~p8(sk0_18(X))))&(p7(sk0_18(X))|p8(sk0_18(X))))&(~p8(sk0_18(X))|~p7(sk0_18(X))))&(p6(sk0_18(X))|p7(sk0_18(X))))&(~p7(sk0_18(X))|~p6(sk0_18(X))))&(p5(sk0_18(X))|p6(sk0_18(X))))&(~p6(sk0_18(X))|~p5(sk0_18(X))))&(p4(sk0_18(X))|p5(sk0_18(X))))&(~p5(sk0_18(X))|~p4(sk0_18(X))))&(p3(sk0_18(X))|p4(sk0_18(X))))&(~p4(sk0_18(X))|~p3(sk0_18(X))))&(p2(sk0_18(X))|p3(sk0_18(X))))&(~p3(sk0_18(X))|~p2(sk0_18(X))))&(p1(sk0_18(X))|p2(sk0_18(X))))&(~p2(sk0_18(X))|~p1(sk0_18(X)))))))))))),
% 0.13/0.38    inference($true_and_$false_simplification,[status(esa)],[f11])).
% 0.13/0.38  fof(f18,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|r1(X0,sk0_4(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f55,plain,(
% 0.13/0.38    ![X0,X1]: (~r1(sk0_3,X0)|~r1(X0,X1)|~p2(X1)|p1(X1))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f56,plain,(
% 0.13/0.38    ![X0,X1]: (~r1(sk0_3,X0)|~r1(X0,X1)|p2(X1)|~p1(X1))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f59,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|r1(X0,sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f60,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p13(sk0_18(X0))|p14(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f61,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p14(sk0_18(X0))|~p13(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f62,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p12(sk0_18(X0))|p13(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f63,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p13(sk0_18(X0))|~p12(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f64,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p11(sk0_18(X0))|p12(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f65,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p12(sk0_18(X0))|~p11(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f66,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p10(sk0_18(X0))|p11(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f67,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p11(sk0_18(X0))|~p10(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f68,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p9(sk0_18(X0))|p10(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f69,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p10(sk0_18(X0))|~p9(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f70,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p8(sk0_18(X0))|p9(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f71,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p9(sk0_18(X0))|~p8(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f72,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p7(sk0_18(X0))|p8(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f73,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p8(sk0_18(X0))|~p7(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f74,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p6(sk0_18(X0))|p7(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f76,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p5(sk0_18(X0))|p6(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f77,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p6(sk0_18(X0))|~p5(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f78,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p4(sk0_18(X0))|p5(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f80,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p3(sk0_18(X0))|p4(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f81,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p4(sk0_18(X0))|~p3(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f82,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p2(sk0_18(X0))|p3(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f83,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p3(sk0_18(X0))|~p2(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f84,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p1(sk0_18(X0))|p2(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f85,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p2(sk0_18(X0))|~p1(sk0_18(X0)))),
% 0.13/0.38    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.38  fof(f86,plain,(
% 0.13/0.38    r1(sk0_3,sk0_4(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f5,f18])).
% 0.13/0.38  fof(f88,plain,(
% 0.13/0.38    r1(sk0_3,sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f59,f5])).
% 0.13/0.38  fof(f110,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|~p2(X0)|p1(X0))),
% 0.13/0.38    inference(resolution,[status(thm)],[f55,f5])).
% 0.13/0.38  fof(f119,plain,(
% 0.13/0.38    ![X0]: (~r1(sk0_3,X0)|p2(X0)|~p1(X0))),
% 0.13/0.38    inference(resolution,[status(thm)],[f56,f5])).
% 0.13/0.38  fof(f122,plain,(
% 0.13/0.38    spl0_2 <=> p13(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f123,plain,(
% 0.13/0.38    p13(sk0_18(sk0_3))|~spl0_2),
% 0.13/0.38    inference(component_clause,[status(thm)],[f122])).
% 0.13/0.38  fof(f125,plain,(
% 0.13/0.38    spl0_3 <=> p14(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f128,plain,(
% 0.13/0.38    p13(sk0_18(sk0_3))|p14(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f60,f5])).
% 0.13/0.38  fof(f129,plain,(
% 0.13/0.38    spl0_2|spl0_3),
% 0.13/0.38    inference(split_clause,[status(thm)],[f128,f122,f125])).
% 0.13/0.38  fof(f133,plain,(
% 0.13/0.38    spl0_4 <=> r1(sk0_3,sk0_3)),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f135,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|spl0_4),
% 0.13/0.38    inference(component_clause,[status(thm)],[f133])).
% 0.13/0.38  fof(f136,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p14(sk0_18(sk0_3))|~spl0_2),
% 0.13/0.38    inference(resolution,[status(thm)],[f61,f123])).
% 0.13/0.38  fof(f137,plain,(
% 0.13/0.38    ~spl0_4|~spl0_3|~spl0_2),
% 0.13/0.38    inference(split_clause,[status(thm)],[f136,f133,f125,f122])).
% 0.13/0.38  fof(f138,plain,(
% 0.13/0.38    $false|spl0_4),
% 0.13/0.38    inference(forward_subsumption_resolution,[status(thm)],[f135,f5])).
% 0.13/0.38  fof(f139,plain,(
% 0.13/0.38    spl0_4),
% 0.13/0.38    inference(contradiction_clause,[status(thm)],[f138])).
% 0.13/0.38  fof(f141,plain,(
% 0.13/0.38    spl0_5 <=> p12(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f142,plain,(
% 0.13/0.38    p12(sk0_18(sk0_3))|~spl0_5),
% 0.13/0.38    inference(component_clause,[status(thm)],[f141])).
% 0.13/0.38  fof(f144,plain,(
% 0.13/0.38    p12(sk0_18(sk0_3))|p13(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f62,f5])).
% 0.13/0.38  fof(f145,plain,(
% 0.13/0.38    spl0_5|spl0_2),
% 0.13/0.38    inference(split_clause,[status(thm)],[f144,f141,f122])).
% 0.13/0.38  fof(f146,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p13(sk0_18(sk0_3))|~spl0_5),
% 0.13/0.38    inference(resolution,[status(thm)],[f63,f142])).
% 0.13/0.38  fof(f147,plain,(
% 0.13/0.38    ~spl0_4|~spl0_2|~spl0_5),
% 0.13/0.38    inference(split_clause,[status(thm)],[f146,f133,f122,f141])).
% 0.13/0.38  fof(f150,plain,(
% 0.13/0.38    spl0_6 <=> p11(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f151,plain,(
% 0.13/0.38    p11(sk0_18(sk0_3))|~spl0_6),
% 0.13/0.38    inference(component_clause,[status(thm)],[f150])).
% 0.13/0.38  fof(f153,plain,(
% 0.13/0.38    p11(sk0_18(sk0_3))|p12(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f64,f5])).
% 0.13/0.38  fof(f154,plain,(
% 0.13/0.38    spl0_6|spl0_5),
% 0.13/0.38    inference(split_clause,[status(thm)],[f153,f150,f141])).
% 0.13/0.38  fof(f157,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p12(sk0_18(sk0_3))|~spl0_6),
% 0.13/0.38    inference(resolution,[status(thm)],[f65,f151])).
% 0.13/0.38  fof(f158,plain,(
% 0.13/0.38    ~spl0_4|~spl0_5|~spl0_6),
% 0.13/0.38    inference(split_clause,[status(thm)],[f157,f133,f141,f150])).
% 0.13/0.38  fof(f159,plain,(
% 0.13/0.38    spl0_7 <=> p10(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f160,plain,(
% 0.13/0.38    p10(sk0_18(sk0_3))|~spl0_7),
% 0.13/0.38    inference(component_clause,[status(thm)],[f159])).
% 0.13/0.38  fof(f162,plain,(
% 0.13/0.38    p10(sk0_18(sk0_3))|p11(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f66,f5])).
% 0.13/0.38  fof(f163,plain,(
% 0.13/0.38    spl0_7|spl0_6),
% 0.13/0.38    inference(split_clause,[status(thm)],[f162,f159,f150])).
% 0.13/0.38  fof(f164,plain,(
% 0.13/0.38    spl0_8 <=> p9(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f165,plain,(
% 0.13/0.38    p9(sk0_18(sk0_3))|~spl0_8),
% 0.13/0.38    inference(component_clause,[status(thm)],[f164])).
% 0.13/0.38  fof(f167,plain,(
% 0.13/0.38    p9(sk0_18(sk0_3))|p10(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f68,f5])).
% 0.13/0.38  fof(f168,plain,(
% 0.13/0.38    spl0_8|spl0_7),
% 0.13/0.38    inference(split_clause,[status(thm)],[f167,f164,f159])).
% 0.13/0.38  fof(f169,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p11(sk0_18(sk0_3))|~spl0_7),
% 0.13/0.38    inference(resolution,[status(thm)],[f160,f67])).
% 0.13/0.38  fof(f170,plain,(
% 0.13/0.38    ~spl0_4|~spl0_6|~spl0_7),
% 0.13/0.38    inference(split_clause,[status(thm)],[f169,f133,f150,f159])).
% 0.13/0.38  fof(f171,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p10(sk0_18(sk0_3))|~spl0_8),
% 0.13/0.38    inference(resolution,[status(thm)],[f69,f165])).
% 0.13/0.38  fof(f172,plain,(
% 0.13/0.38    ~spl0_4|~spl0_7|~spl0_8),
% 0.13/0.38    inference(split_clause,[status(thm)],[f171,f133,f159,f164])).
% 0.13/0.38  fof(f173,plain,(
% 0.13/0.38    spl0_9 <=> p8(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f174,plain,(
% 0.13/0.38    p8(sk0_18(sk0_3))|~spl0_9),
% 0.13/0.38    inference(component_clause,[status(thm)],[f173])).
% 0.13/0.38  fof(f176,plain,(
% 0.13/0.38    p8(sk0_18(sk0_3))|p9(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f70,f5])).
% 0.13/0.38  fof(f177,plain,(
% 0.13/0.38    spl0_9|spl0_8),
% 0.13/0.38    inference(split_clause,[status(thm)],[f176,f173,f164])).
% 0.13/0.38  fof(f178,plain,(
% 0.13/0.38    spl0_10 <=> p7(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f179,plain,(
% 0.13/0.38    p7(sk0_18(sk0_3))|~spl0_10),
% 0.13/0.38    inference(component_clause,[status(thm)],[f178])).
% 0.13/0.38  fof(f181,plain,(
% 0.13/0.38    p7(sk0_18(sk0_3))|p8(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f72,f5])).
% 0.13/0.38  fof(f182,plain,(
% 0.13/0.38    spl0_10|spl0_9),
% 0.13/0.38    inference(split_clause,[status(thm)],[f181,f178,f173])).
% 0.13/0.38  fof(f183,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p9(sk0_18(sk0_3))|~spl0_9),
% 0.13/0.38    inference(resolution,[status(thm)],[f174,f71])).
% 0.13/0.38  fof(f184,plain,(
% 0.13/0.38    ~spl0_4|~spl0_8|~spl0_9),
% 0.13/0.38    inference(split_clause,[status(thm)],[f183,f133,f164,f173])).
% 0.13/0.38  fof(f185,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p8(sk0_18(sk0_3))|~spl0_10),
% 0.13/0.38    inference(resolution,[status(thm)],[f73,f179])).
% 0.13/0.38  fof(f186,plain,(
% 0.13/0.38    ~spl0_4|~spl0_9|~spl0_10),
% 0.13/0.38    inference(split_clause,[status(thm)],[f185,f133,f173,f178])).
% 0.13/0.38  fof(f190,plain,(
% 0.13/0.38    spl0_11 <=> p6(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f193,plain,(
% 0.13/0.38    p6(sk0_18(sk0_3))|p7(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f74,f5])).
% 0.13/0.38  fof(f194,plain,(
% 0.13/0.38    spl0_11|spl0_10),
% 0.13/0.38    inference(split_clause,[status(thm)],[f193,f190,f178])).
% 0.13/0.38  fof(f195,plain,(
% 0.13/0.38    spl0_12 <=> p5(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f196,plain,(
% 0.13/0.38    p5(sk0_18(sk0_3))|~spl0_12),
% 0.13/0.38    inference(component_clause,[status(thm)],[f195])).
% 0.13/0.38  fof(f198,plain,(
% 0.13/0.38    p5(sk0_18(sk0_3))|p6(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f76,f5])).
% 0.13/0.38  fof(f199,plain,(
% 0.13/0.38    spl0_12|spl0_11),
% 0.13/0.38    inference(split_clause,[status(thm)],[f198,f195,f190])).
% 0.13/0.38  fof(f200,plain,(
% 0.13/0.38    spl0_13 <=> p4(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f203,plain,(
% 0.13/0.38    p4(sk0_18(sk0_3))|p5(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f78,f5])).
% 0.13/0.38  fof(f204,plain,(
% 0.13/0.38    spl0_13|spl0_12),
% 0.13/0.38    inference(split_clause,[status(thm)],[f203,f200,f195])).
% 0.13/0.38  fof(f206,plain,(
% 0.13/0.38    spl0_14 <=> p3(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f207,plain,(
% 0.13/0.38    p3(sk0_18(sk0_3))|~spl0_14),
% 0.13/0.38    inference(component_clause,[status(thm)],[f206])).
% 0.13/0.38  fof(f209,plain,(
% 0.13/0.38    p3(sk0_18(sk0_3))|p4(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f80,f5])).
% 0.13/0.38  fof(f210,plain,(
% 0.13/0.38    spl0_14|spl0_13),
% 0.13/0.38    inference(split_clause,[status(thm)],[f209,f206,f200])).
% 0.13/0.38  fof(f211,plain,(
% 0.13/0.38    spl0_15 <=> p2(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f212,plain,(
% 0.13/0.38    p2(sk0_18(sk0_3))|~spl0_15),
% 0.13/0.38    inference(component_clause,[status(thm)],[f211])).
% 0.13/0.38  fof(f214,plain,(
% 0.13/0.38    p2(sk0_18(sk0_3))|p3(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f82,f5])).
% 0.13/0.38  fof(f215,plain,(
% 0.13/0.38    spl0_15|spl0_14),
% 0.13/0.38    inference(split_clause,[status(thm)],[f214,f211,f206])).
% 0.13/0.38  fof(f216,plain,(
% 0.13/0.38    spl0_16 <=> p1(sk0_18(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f219,plain,(
% 0.13/0.38    p1(sk0_18(sk0_3))|p2(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f84,f5])).
% 0.13/0.38  fof(f220,plain,(
% 0.13/0.38    spl0_16|spl0_15),
% 0.13/0.38    inference(split_clause,[status(thm)],[f219,f216,f211])).
% 0.13/0.38  fof(f229,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p6(sk0_18(sk0_3))|~spl0_12),
% 0.13/0.38    inference(resolution,[status(thm)],[f196,f77])).
% 0.13/0.38  fof(f230,plain,(
% 0.13/0.38    ~spl0_4|~spl0_11|~spl0_12),
% 0.13/0.38    inference(split_clause,[status(thm)],[f229,f133,f190,f195])).
% 0.13/0.38  fof(f231,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p4(sk0_18(sk0_3))|~spl0_14),
% 0.13/0.38    inference(resolution,[status(thm)],[f207,f81])).
% 0.13/0.38  fof(f232,plain,(
% 0.13/0.38    ~spl0_4|~spl0_13|~spl0_14),
% 0.13/0.38    inference(split_clause,[status(thm)],[f231,f133,f200,f206])).
% 0.13/0.38  fof(f233,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p1(sk0_18(sk0_3))|~spl0_15),
% 0.13/0.38    inference(resolution,[status(thm)],[f212,f85])).
% 0.13/0.38  fof(f234,plain,(
% 0.13/0.38    ~spl0_4|~spl0_16|~spl0_15),
% 0.13/0.38    inference(split_clause,[status(thm)],[f233,f133,f216,f211])).
% 0.13/0.38  fof(f235,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_3)|~p3(sk0_18(sk0_3))|~spl0_15),
% 0.13/0.38    inference(resolution,[status(thm)],[f212,f83])).
% 0.13/0.38  fof(f236,plain,(
% 0.13/0.38    ~spl0_4|~spl0_14|~spl0_15),
% 0.13/0.38    inference(split_clause,[status(thm)],[f235,f133,f206,f211])).
% 0.13/0.38  fof(f340,plain,(
% 0.13/0.38    spl0_33 <=> r1(sk0_3,sk0_4(sk0_3))),
% 0.13/0.38    introduced(split_symbol_definition)).
% 0.13/0.38  fof(f342,plain,(
% 0.13/0.38    ~r1(sk0_3,sk0_4(sk0_3))|spl0_33),
% 0.13/0.38    inference(component_clause,[status(thm)],[f340])).
% 0.13/0.38  fof(f345,plain,(
% 0.13/0.38    $false|spl0_33),
% 0.13/0.38    inference(forward_subsumption_resolution,[status(thm)],[f342,f86])).
% 0.13/0.38  fof(f346,plain,(
% 0.13/0.38    spl0_33),
% 0.13/0.38    inference(contradiction_clause,[status(thm)],[f345])).
% 0.13/0.38  fof(f531,plain,(
% 0.13/0.38    p2(sk0_18(sk0_3))|~p1(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f88,f119])).
% 0.13/0.38  fof(f532,plain,(
% 0.13/0.38    spl0_15|~spl0_16),
% 0.13/0.38    inference(split_clause,[status(thm)],[f531,f211,f216])).
% 0.13/0.38  fof(f534,plain,(
% 0.13/0.38    ~p2(sk0_18(sk0_3))|p1(sk0_18(sk0_3))),
% 0.13/0.38    inference(resolution,[status(thm)],[f88,f110])).
% 0.13/0.38  fof(f535,plain,(
% 0.13/0.38    ~spl0_15|spl0_16),
% 0.13/0.38    inference(split_clause,[status(thm)],[f534,f211,f216])).
% 0.13/0.38  fof(f554,plain,(
% 0.13/0.38    $false),
% 0.13/0.38    inference(sat_refutation,[status(thm)],[f129,f137,f139,f145,f147,f154,f158,f163,f168,f170,f172,f177,f182,f184,f186,f194,f199,f204,f210,f215,f220,f230,f232,f234,f236,f346,f532,f535])).
% 0.13/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39  % Elapsed time: 0.043889 seconds
% 0.13/0.39  % CPU time: 0.213355 seconds
% 0.13/0.39  % Memory used: 4.889 MB
%------------------------------------------------------------------------------