%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:57:26 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN073+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.39 % Computer : n007.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8046.5625MB
% 0.16/0.39 % OS : Linux 6.8.0-71-generic
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Mon Sep 21 03:22:50 UTC 2026
% 0.16/0.40 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f14,axiom,(
% 0.19/0.49 (! [X3,X10] :( (! [Y12] :( (! [Y13] :( ~ id(Y13,Y12)| ~ r2(X3,Y13) ))| ~ r2(X10,Y12) ))| id(X3,X10) ) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f18,axiom,(
% 0.19/0.49 (! [X7,Y10] :( (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ))| ~ r2(X7,Y10) ) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f19,conjecture,(
% 0.19/0.49 (! [Y1] :( (! [Y2] :( (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y2) ))| ~ id(Y2,Y1) ))| (! [Y3] :( (! [Y5] :( ~ r1(Y5)| ~ r2(Y5,Y3) ))| ~ r2(Y3,Y1) ) )) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f20,negated_conjecture,(
% 0.19/0.49 ~((! [Y1] :( (! [Y2] :( (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y2) ))| ~ id(Y2,Y1) ))| (! [Y3] :( (! [Y5] :( ~ r1(Y5)| ~ r2(Y5,Y3) ))| ~ r2(Y3,Y1) ) )) ))),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f19])).
% 0.19/0.49 fof(f73,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (~id(X0,X1)|~r2(X2,X0)|~r2(X3,X1)|id(X2,X3))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.49 fof(f89,plain,(
% 0.19/0.49 ![Y10]: ((![Y20]: (~id(Y20,Y10)|~r1(Y20)))|(![X7]: ~r2(X7,Y10)))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f18])).
% 0.19/0.49 fof(f90,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~r2(X2,X1))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f89])).
% 0.19/0.49 fof(f91,plain,(
% 0.19/0.49 (?[Y1]: ((?[Y2]: ((?[Y4]: (r1(Y4)&r2(Y4,Y2)))&id(Y2,Y1)))&(?[Y3]: ((?[Y5]: (r1(Y5)&r2(Y5,Y3)))&r2(Y3,Y1)))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.19/0.49 fof(f92,plain,(
% 0.19/0.49 (((r1(sK22_skl)&r2(sK22_skl,sK21_skl))&id(sK21_skl,sK20_skl))&((r1(sK24_skl)&r2(sK24_skl,sK23_skl))&r2(sK23_skl,sK20_skl)))),
% 0.19/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl]),skolemize(Y1,sK20_skl),skolemize(Y2,sK21_skl),skolemize(Y4,sK22_skl),skolemize(Y3,sK23_skl),skolemize(Y5,sK24_skl)],[f91])).
% 0.19/0.49 fof(f93,plain,(
% 0.19/0.49 r1(sK22_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f92])).
% 0.19/0.49 fof(f94,plain,(
% 0.19/0.49 r2(sK22_skl,sK21_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f92])).
% 0.19/0.49 fof(f95,plain,(
% 0.19/0.49 id(sK21_skl,sK20_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f92])).
% 0.19/0.49 fof(f97,plain,(
% 0.19/0.49 r2(sK24_skl,sK23_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f92])).
% 0.19/0.49 fof(f98,plain,(
% 0.19/0.49 r2(sK23_skl,sK20_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f92])).
% 0.19/0.49 fof(f145,plain,(
% 0.19/0.49 ![X0,X1]: (~id(sK22_skl,X0)|~r2(X1,X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f90,f93])).
% 0.19/0.49 fof(f165,plain,(
% 0.19/0.49 ![X0,X1]: (~r2(X0,sK21_skl)|~r2(X1,sK20_skl)|id(X0,X1))),
% 0.19/0.49 inference(resolution,[status(thm)],[f73,f95])).
% 0.19/0.49 fof(f168,plain,(
% 0.19/0.49 ![X0]: (~r2(X0,sK20_skl)|id(sK22_skl,X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f165,f94])).
% 0.19/0.49 fof(f212,plain,(
% 0.19/0.49 id(sK22_skl,sK23_skl)),
% 0.19/0.49 inference(resolution,[status(thm)],[f168,f98])).
% 0.19/0.49 fof(f215,plain,(
% 0.19/0.49 ![X0]: (~r2(X0,sK23_skl))),
% 0.19/0.49 inference(resolution,[status(thm)],[f212,f145])).
% 0.19/0.49 fof(f220,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(backward_subsumption_resolution,[status(thm)],[f97,f215])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.51 % Elapsed time: 0.085012 seconds
% 0.19/0.51 % CPU time: 0.354994 seconds
% 0.19/0.51 % Total memory used: 16.330 MB
% 0.19/0.51 % Net memory used: 15.920 MB
%------------------------------------------------------------------------------