%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN062+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:57:24 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN062+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n018.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 03:25:30 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.50 fof(f5,axiom,(
% 0.18/0.50 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f11,axiom,(
% 0.18/0.50 (! [X7,Y10] :( (! [Y20] :( ~ r1(Y20)| Y20 != Y10 ))| ~ r2(X7,Y10) ) )),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f12,conjecture,(
% 0.18/0.50 (! [X1] :(? [Y2,Y1] :( (! [Y4] :( ~ r1(Y4)| Y1 != Y4 ))& (? [Y3] :( r3(X1,Y1,Y3)& Y3 = Y2 ) )) ))),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f13,negated_conjecture,(
% 0.18/0.50 ~((! [X1] :(? [Y2,Y1] :( (! [Y4] :( ~ r1(Y4)| Y1 != Y4 ))& (? [Y3] :( r3(X1,Y1,Y3)& Y3 = Y2 ) )) )))),
% 0.18/0.50 inference(negated_conjecture,[status(cth)],[f12])).
% 0.18/0.50 fof(f34,plain,(
% 0.18/0.50 ![X1,X8]: (((r2(X8,sK6_skl(X8,X1))&r3(X1,sK6_skl(X8,X1),sK5_skl(X8,X1)))&sK5_skl(X8,X1)=sK4_skl(X8,X1))&(r2(sK7_skl(X8,X1),sK4_skl(X8,X1))&r3(X1,X8,sK7_skl(X8,X1))))),
% 0.18/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(Y4,sK4_skl(X8,X1)),skolemize(Y5,sK5_skl(X8,X1)),skolemize(Y15,sK6_skl(X8,X1)),skolemize(Y7,sK7_skl(X8,X1))],[f5])).
% 0.18/0.50 fof(f35,plain,(
% 0.18/0.50 ![X0,X1]: (r2(X0,sK6_skl(X0,X1)))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.50 fof(f36,plain,(
% 0.18/0.50 ![X0,X1]: (r3(X0,sK6_skl(X1,X0),sK5_skl(X1,X0)))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.50 fof(f62,plain,(
% 0.18/0.50 ![Y10]: ((![Y20]: (~r1(Y20)|~Y20=Y10))|(![X7]: ~r2(X7,Y10)))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f11])).
% 0.18/0.50 fof(f63,plain,(
% 0.18/0.50 ![X0,X1,X2]: (~r1(X0)|~X0=X1|~r2(X2,X1))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f62])).
% 0.18/0.50 fof(f64,plain,(
% 0.18/0.50 (?[X1]: ![Y2,Y1]: ((?[Y4]: (r1(Y4)&Y1=Y4))|(![Y3]: (~r3(X1,Y1,Y3)|~Y3=Y2))))),
% 0.18/0.50 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.18/0.50 fof(f65,plain,(
% 0.18/0.50 ?[X1]: ![Y1]: ((?[Y4]: (r1(Y4)&Y1=Y4))|(![Y3]: (~r3(X1,Y1,Y3)|(![Y2]: ~Y3=Y2))))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f64])).
% 0.18/0.50 fof(f66,plain,(
% 0.18/0.50 ![Y1]: ((r1(sK21_skl(Y1))&Y1=sK21_skl(Y1))|(![Y3]: (~r3(sK20_skl,Y1,Y3)|(![Y2]: ~Y3=Y2))))),
% 0.18/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(X1,sK20_skl),skolemize(Y4,sK21_skl(Y1))],[f65])).
% 0.18/0.50 fof(f67,plain,(
% 0.18/0.50 ![X0,X1,X2]: (r1(sK21_skl(X0))|~r3(sK20_skl,X0,X1)|~X1=X2)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f66])).
% 0.18/0.50 fof(f68,plain,(
% 0.18/0.50 ![X0,X1,X2]: (X0=sK21_skl(X0)|~r3(sK20_skl,X0,X1)|~X1=X2)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f66])).
% 0.18/0.50 fof(f95,plain,(
% 0.18/0.50 ![X0,X1]: (~r1(X0)|~r2(X1,X0))),
% 0.18/0.50 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.18/0.50 fof(f96,plain,(
% 0.18/0.50 ![X0,X1]: (r1(sK21_skl(X0))|~r3(sK20_skl,X0,X1))),
% 0.18/0.50 inference(destructive_equality_resolution,[status(thm)],[f67])).
% 0.18/0.50 fof(f97,plain,(
% 0.18/0.50 ![X0,X1]: (X0=sK21_skl(X0)|~r3(sK20_skl,X0,X1))),
% 0.18/0.50 inference(destructive_equality_resolution,[status(thm)],[f68])).
% 0.18/0.50 fof(f108,plain,(
% 0.18/0.50 ![X0]: (r1(sK21_skl(sK6_skl(X0,sK20_skl))))),
% 0.18/0.50 inference(resolution,[status(thm)],[f36,f96])).
% 0.18/0.50 fof(f109,plain,(
% 0.18/0.50 ![X0]: (sK6_skl(X0,sK20_skl)=sK21_skl(sK6_skl(X0,sK20_skl)))),
% 0.18/0.50 inference(resolution,[status(thm)],[f36,f97])).
% 0.18/0.50 fof(f110,plain,(
% 0.18/0.50 ![X0,X1]: (~r2(X0,sK21_skl(sK6_skl(X1,sK20_skl))))),
% 0.18/0.50 inference(resolution,[status(thm)],[f108,f95])).
% 0.18/0.50 fof(f113,plain,(
% 0.18/0.50 ![X0,X1]: (~r2(X0,sK6_skl(X1,sK20_skl)))),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f109,f110])).
% 0.18/0.50 fof(f114,plain,(
% 0.18/0.50 $false),
% 0.18/0.50 inference(resolution,[status(thm)],[f113,f35])).
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.53 % Elapsed time: 0.071893 seconds
% 0.26/0.53 % CPU time: 0.189853 seconds
% 0.26/0.53 % Total memory used: 89.596 MB
% 0.26/0.53 % Net memory used: 89.505 MB
%------------------------------------------------------------------------------