%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL682+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 : n009.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 01:10:55 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n009.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 21 00:56:27 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f3,conjecture,(
% 0.08/0.40 ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p16(X) ))| ~ (! [X] :( ~ r1(Y,X)| p12(X) ))| ~ (! [X] :( ~ r1(Y,X)| p14(X) ))| ~ (! [X] :( ~ r1(Y,X)| p12(X) ) )) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p15(X) ) )))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p13(X) ) )))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p12(X) ) )))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p11(X) ) )) )) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f4,negated_conjecture,(
% 0.08/0.40 ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| ~ ( ~ (! [X] :( ~ r1(Y,X)| p16(X) ))| ~ (! [X] :( ~ r1(Y,X)| p12(X) ))| ~ (! [X] :( ~ r1(Y,X)| p14(X) ))| ~ (! [X] :( ~ r1(Y,X)| p12(X) ) )) ))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p15(X) ) )))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p13(X) ) )))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p12(X) ) )))| (! [Y] :( ~ r1(X,Y)| (! [X] :( ~ r1(Y,X)| p11(X) ) )) )) ))),
% 0.08/0.40 inference(negated_conjecture,[status(cth)],[f3])).
% 0.08/0.40 fof(f9,plain,(
% 0.08/0.40 ?[X]: (((((![Y]: (~r1(X,Y)|((((![X]: (~r1(Y,X)|p16(X)))&(![X]: (~r1(Y,X)|p12(X))))&(![X]: (~r1(Y,X)|p14(X))))&(![X]: (~r1(Y,X)|p12(X))))))&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&~p15(X))))))&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&~p13(X))))))&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&~p12(X))))))&(?[Y]: (r1(X,Y)&(?[X]: (r1(Y,X)&~p11(X))))))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/0.40 fof(f10,plain,(
% 0.08/0.40 (((((![Y]: (~r1(sK0_skl,Y)|((((![X]: (~r1(Y,X)|p16(X)))&(![X]: (~r1(Y,X)|p12(X))))&(![X]: (~r1(Y,X)|p14(X))))&(![X]: (~r1(Y,X)|p12(X))))))&(r1(sK0_skl,sK1_skl)&(r1(sK1_skl,sK2_skl)&~p15(sK2_skl))))&(r1(sK0_skl,sK3_skl)&(r1(sK3_skl,sK4_skl)&~p13(sK4_skl))))&(r1(sK0_skl,sK5_skl)&(r1(sK5_skl,sK6_skl)&~p12(sK6_skl))))&(r1(sK0_skl,sK7_skl)&(r1(sK7_skl,sK8_skl)&~p11(sK8_skl))))),
% 0.08/0.40 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]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(X,sK4_skl),skolemize(Y,sK5_skl),skolemize(X,sK6_skl),skolemize(Y,sK7_skl),skolemize(X,sK8_skl)],[f9])).
% 0.08/0.40 fof(f12,plain,(
% 0.08/0.40 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(X0,X1)|p12(X1))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.40 fof(f21,plain,(
% 0.08/0.40 r1(sK0_skl,sK5_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.40 fof(f22,plain,(
% 0.08/0.40 r1(sK5_skl,sK6_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.40 fof(f23,plain,(
% 0.08/0.40 ~p12(sK6_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.40 fof(f42,plain,(
% 0.08/0.40 ![X0]: (~r1(sK5_skl,X0)|p12(X0))),
% 0.08/0.40 inference(resolution,[status(thm)],[f21,f12])).
% 0.08/0.40 fof(f86,plain,(
% 0.08/0.40 p12(sK6_skl)),
% 0.08/0.40 inference(resolution,[status(thm)],[f42,f22])).
% 0.08/0.40 fof(f88,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f86,f23])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.42 % Elapsed time: 0.040900 seconds
% 0.08/0.42 % CPU time: 0.097055 seconds
% 0.08/0.42 % Total memory used: 21.029 MB
% 0.08/0.42 % Net memory used: 20.912 MB
%------------------------------------------------------------------------------