%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN069+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 : 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 01:57:25 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN069+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:23:57 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f9,axiom,(
% 0.12/0.38 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( r1(Y18)& Y8 = Y18 ) )) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f12,conjecture,(
% 0.12/0.38 (? [Y1] :( Y1 = Y1& (? [Y2] :( r1(Y2)& r2(Y2,Y1) ) )) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f13,negated_conjecture,(
% 0.12/0.38 ~((? [Y1] :( Y1 = Y1& (? [Y2] :( r1(Y2)& r2(Y2,Y1) ) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f12])).
% 0.12/0.38 fof(f34,plain,(
% 0.12/0.38 ![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))))),
% 0.12/0.38 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])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 ![X0,X1]: (r2(X0,sK6_skl(X0,X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 ![X5]: ((r1(sK15_skl(X5))&r4(X5,sK15_skl(X5),sK14_skl(X5)))&(r1(sK16_skl(X5))&sK14_skl(X5)=sK16_skl(X5)))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(Y8,sK14_skl(X5)),skolemize(Y17,sK15_skl(X5)),skolemize(Y18,sK16_skl(X5))],[f9])).
% 0.12/0.38 fof(f54,plain,(
% 0.12/0.38 ![X0]: (r1(sK16_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.12/0.38 fof(f64,plain,(
% 0.12/0.38 (![Y1]: (~Y1=Y1|(![Y2]: (~r1(Y2)|~r2(Y2,Y1)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f65,plain,(
% 0.12/0.38 ![X0,X1]: (~X0=X0|~r1(X1)|~r2(X1,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/0.38 fof(f93,plain,(
% 0.12/0.38 ![X0,X1]: (~r1(X0)|~r2(X0,X1))),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f65])).
% 0.12/0.38 fof(f102,plain,(
% 0.12/0.38 ![X0]: (~r1(X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f35,f93])).
% 0.12/0.38 fof(f106,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(backward_subsumption_resolution,[status(thm)],[f54,f102])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.049171 seconds
% 0.12/0.41 % CPU time: 0.148645 seconds
% 0.12/0.41 % Total memory used: 102.296 MB
% 0.12/0.41 % Net memory used: 102.190 MB
%------------------------------------------------------------------------------