%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN073+2 : 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 : n017.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 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN073+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 % Computer : n017.cluster.edu
% 0.19/0.48 % Model : x86_64 x86_64
% 0.19/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.48 % Memory : 8046.5625MB
% 0.19/0.48 % OS : Linux 6.8.0-71-generic
% 0.19/0.48 % CPULimit : 300
% 0.19/0.48 % WCLimit : 300
% 0.19/0.48 % DateTime : Mon Sep 21 03:20:11 UTC 2026
% 0.19/0.49 % CPUTime :
% 0.19/0.52 % Drodi V4.1.1
% 0.19/0.53 % Refutation found
% 0.19/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.53 fof(f7,axiom,(
% 0.19/0.53 (! [X3,X10] :( (! [Y12] :( (! [Y13] :( ~ r2(X3,Y13)| Y13 != Y12 ))| ~ r2(X10,Y12) ))| X3 = X10 ) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f11,axiom,(
% 0.19/0.53 (! [X7,Y10] :( (! [Y20] :( ~ r1(Y20)| Y20 != Y10 ))| ~ r2(X7,Y10) ) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f12,conjecture,(
% 0.19/0.53 (! [Y1] :( (! [Y2] :( (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y2) ))| Y2 != Y1 ))| (! [Y3] :( (! [Y5] :( ~ r1(Y5)| ~ r2(Y5,Y3) ))| ~ r2(Y3,Y1) ) )) )),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f13,negated_conjecture,(
% 0.19/0.53 ~((! [Y1] :( (! [Y2] :( (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y2) ))| Y2 != Y1 ))| (! [Y3] :( (! [Y5] :( ~ r1(Y5)| ~ r2(Y5,Y3) ))| ~ r2(Y3,Y1) ) )) ))),
% 0.19/0.53 inference(negated_conjecture,[status(cth)],[f12])).
% 0.19/0.53 fof(f46,plain,(
% 0.19/0.53 ![X0,X1,X2,X3]: (~r2(X0,X1)|~X1=X2|~r2(X3,X2)|X0=X3)),
% 0.19/0.53 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.53 fof(f62,plain,(
% 0.19/0.53 ![Y10]: ((![Y20]: (~r1(Y20)|~Y20=Y10))|(![X7]: ~r2(X7,Y10)))),
% 0.19/0.53 inference(miniscoping,[status(thm)],[f11])).
% 0.19/0.53 fof(f63,plain,(
% 0.19/0.53 ![X0,X1,X2]: (~r1(X0)|~X0=X1|~r2(X2,X1))),
% 0.19/0.53 inference(cnf_transformation,[status(thm)],[f62])).
% 0.19/0.53 fof(f64,plain,(
% 0.19/0.53 (?[Y1]: ((?[Y2]: ((?[Y4]: (r1(Y4)&r2(Y4,Y2)))&Y2=Y1))&(?[Y3]: ((?[Y5]: (r1(Y5)&r2(Y5,Y3)))&r2(Y3,Y1)))))),
% 0.19/0.53 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.19/0.53 fof(f65,plain,(
% 0.19/0.53 (((r1(sK22_skl)&r2(sK22_skl,sK21_skl))&sK21_skl=sK20_skl)&((r1(sK24_skl)&r2(sK24_skl,sK23_skl))&r2(sK23_skl,sK20_skl)))),
% 0.19/0.53 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)],[f64])).
% 0.19/0.53 fof(f66,plain,(
% 0.19/0.53 r1(sK22_skl)),
% 0.19/0.53 inference(cnf_transformation,[status(thm)],[f65])).
% 0.19/0.53 fof(f67,plain,(
% 0.19/0.53 r2(sK22_skl,sK21_skl)),
% 0.19/0.53 inference(cnf_transformation,[status(thm)],[f65])).
% 0.19/0.53 fof(f68,plain,(
% 0.19/0.53 sK21_skl=sK20_skl),
% 0.19/0.53 inference(cnf_transformation,[status(thm)],[f65])).
% 0.19/0.53 fof(f70,plain,(
% 0.19/0.53 r2(sK24_skl,sK23_skl)),
% 0.19/0.53 inference(cnf_transformation,[status(thm)],[f65])).
% 0.19/0.53 fof(f71,plain,(
% 0.19/0.53 r2(sK23_skl,sK20_skl)),
% 0.19/0.53 inference(cnf_transformation,[status(thm)],[f65])).
% 0.19/0.53 fof(f97,plain,(
% 0.19/0.53 ![X0,X1,X2]: (~r2(X0,X1)|~r2(X2,X1)|X0=X2)),
% 0.19/0.53 inference(destructive_equality_resolution,[status(thm)],[f46])).
% 0.19/0.53 fof(f98,plain,(
% 0.19/0.53 ![X0,X1]: (~r1(X0)|~r2(X1,X0))),
% 0.19/0.53 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.19/0.53 fof(f104,plain,(
% 0.19/0.53 r2(sK23_skl,sK21_skl)),
% 0.19/0.53 inference(forward_demodulation,[status(thm)],[f68,f71])).
% 0.19/0.53 fof(f106,plain,(
% 0.19/0.53 ~r1(sK23_skl)),
% 0.19/0.53 inference(resolution,[status(thm)],[f98,f70])).
% 0.19/0.53 fof(f108,plain,(
% 0.19/0.53 ![X0]: (~r2(X0,sK21_skl)|X0=sK23_skl)),
% 0.19/0.53 inference(resolution,[status(thm)],[f97,f104])).
% 0.19/0.53 fof(f112,plain,(
% 0.19/0.53 sK22_skl=sK23_skl),
% 0.19/0.53 inference(resolution,[status(thm)],[f108,f67])).
% 0.19/0.53 fof(f114,plain,(
% 0.19/0.53 r1(sK23_skl)),
% 0.19/0.53 inference(backward_demodulation,[status(thm)],[f112,f66])).
% 0.19/0.53 fof(f115,plain,(
% 0.19/0.53 $false),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f114,f106])).
% 0.19/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.59 % Elapsed time: 0.088983 seconds
% 0.23/0.59 % CPU time: 0.101618 seconds
% 0.23/0.59 % Total memory used: 3.215 MB
% 0.23/0.59 % Net memory used: 3.215 MB
%------------------------------------------------------------------------------