%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:10:54 PM UTC 2026
% Result : Theorem 0.19s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 00:58:05 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f1,axiom,(
% 0.19/0.48 (! [X] : r1(X,X) )),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f3,conjecture,(
% 0.19/0.48 ~ (? [X] :~ ( $false| ~ (! [Y] :( ~ r1(X,Y)| $false| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) )) )),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f4,negated_conjecture,(
% 0.19/0.48 ~(~ (? [X] :~ ( $false| ~ (! [Y] :( ~ r1(X,Y)| $false| ~ (! [X] :( ~ r1(Y,X)| (! [Y] :( ~ r1(X,Y)| p1(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p1(Y) ) )) )) )) ))),
% 0.19/0.48 inference(negated_conjecture,[status(cth)],[f3])).
% 0.19/0.48 fof(f5,plain,(
% 0.19/0.48 ![X0]: (r1(X0,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.19/0.48 fof(f9,plain,(
% 0.19/0.48 ?[X]: ($true&(![Y]: ((~r1(X,Y)|$false)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: (~r1(X,Y)|p1(Y))))))))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.19/0.48 fof(f10,plain,(
% 0.19/0.48 $true&(?[X]: ![Y]: ((~r1(X,Y)|$false)|(?[X]: ((r1(Y,X)&(?[Y]: (r1(X,Y)&~p1(Y))))&(![Y]: (~r1(X,Y)|p1(Y)))))))),
% 0.19/0.48 inference(miniscoping,[status(thm)],[f9])).
% 0.19/0.48 fof(f11,plain,(
% 0.19/0.48 $true&![Y]: ((~r1(sK0_skl,Y)|$false)|((r1(Y,sK1_skl(Y))&(r1(sK1_skl(Y),sK2_skl(Y))&~p1(sK2_skl(Y))))&(![Y]: (~r1(sK1_skl(Y),Y)|p1(Y)))))),
% 0.19/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(Y,sK2_skl(Y))],[f10])).
% 0.19/0.48 fof(f12,plain,(
% 0.19/0.48 ?[X]: ![Y]: (~r1(sK0_skl,Y)|(?[X]: ((r1(Y,sK1_skl(Y))&(?[Y]: (r1(sK1_skl(Y),sK2_skl(Y))&~p1(sK2_skl(Y)))))&(![Y]: (~r1(sK1_skl(Y),Y)|p1(Y))))))),
% 0.19/0.48 inference(true_and_false_simplification,[status(thm)],[f11])).
% 0.19/0.48 fof(f14,plain,(
% 0.19/0.48 ![X0]: (~r1(sK0_skl,X0)|r1(sK1_skl(X0),sK2_skl(X0)))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.48 fof(f15,plain,(
% 0.19/0.48 ![X0]: (~r1(sK0_skl,X0)|~p1(sK2_skl(X0)))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.48 fof(f16,plain,(
% 0.19/0.48 ![X0,X1]: (~r1(sK0_skl,X0)|~r1(sK1_skl(X0),X1)|p1(X1))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.48 fof(f17,plain,(
% 0.19/0.48 ![X0]: (~r1(sK1_skl(sK0_skl),X0)|p1(X0))),
% 0.19/0.48 inference(resolution,[status(thm)],[f5,f16])).
% 0.19/0.48 fof(f21,plain,(
% 0.19/0.48 p1(sK2_skl(sK0_skl))|~r1(sK0_skl,sK0_skl)),
% 0.19/0.48 inference(resolution,[status(thm)],[f17,f14])).
% 0.19/0.48 fof(f23,plain,(
% 0.19/0.48 ~r1(sK0_skl,sK0_skl)),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f21,f15])).
% 0.19/0.48 fof(f24,plain,(
% 0.19/0.48 $false),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f23,f5])).
% 0.19/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.51 % Elapsed time: 0.051017 seconds
% 0.19/0.51 % CPU time: 0.130969 seconds
% 0.19/0.51 % Total memory used: 25.959 MB
% 0.19/0.51 % Net memory used: 25.694 MB
%------------------------------------------------------------------------------