%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN062+1 : TPTP v9.3.1. Bugfixed v7.4.0.
% 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 01:57:24 PM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN062+1 : TPTP v9.3.1. Bugfixed v7.4.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n007.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 03:21:05 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f5,axiom,(
% 0.18/0.49 (! [X20] : id(X20,X20) )),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f6,axiom,(
% 0.18/0.49 (! [X21,X22] :( ~ id(X21,X22)| id(X22,X21) ) )),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f12,axiom,(
% 0.18/0.49 (! [X1,X8] :(? [Y4] :( (? [Y5] :( id(Y5,Y4)& (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ) )))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f13,axiom,(
% 0.18/0.49 (! [X2,X9] :(? [Y2] :( (? [Y3] :( id(Y3,Y2)& (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ) )))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f18,axiom,(
% 0.18/0.49 (! [X7,Y10] :( (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ))| ~ r2(X7,Y10) ) )),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f19,conjecture,(
% 0.18/0.49 (! [X1] :(? [Y2,Y1] :( (! [Y4] :( ~ id(Y1,Y4)| ~ r1(Y4) ))& (? [Y3] :( id(Y3,Y2)& r3(X1,Y1,Y3) ) )) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f20,negated_conjecture,(
% 0.18/0.49 ~((! [X1] :(? [Y2,Y1] :( (! [Y4] :( ~ id(Y1,Y4)| ~ r1(Y4) ))& (? [Y3] :( id(Y3,Y2)& r3(X1,Y1,Y3) ) )) )))),
% 0.18/0.49 inference(negated_conjecture,[status(cth)],[f19])).
% 0.18/0.49 fof(f41,plain,(
% 0.18/0.49 ![X0]: (id(X0,X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.49 fof(f42,plain,(
% 0.18/0.49 ![X0,X1]: (~id(X0,X1)|id(X1,X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.49 fof(f61,plain,(
% 0.18/0.49 ![X1,X8]: ((id(sK5_skl(X8,X1),sK4_skl(X8,X1))&(r2(X8,sK6_skl(X8,X1))&r3(X1,sK6_skl(X8,X1),sK5_skl(X8,X1))))&(r2(sK7_skl(X8,X1),sK4_skl(X8,X1))&r3(X1,X8,sK7_skl(X8,X1))))),
% 0.18/0.49 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))],[f12])).
% 0.18/0.49 fof(f66,plain,(
% 0.18/0.49 ![X0,X1]: (r3(X0,X1,sK7_skl(X1,X0)))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f61])).
% 0.18/0.49 fof(f67,plain,(
% 0.18/0.49 ![X2,X9]: ((id(sK9_skl(X9,X2),sK8_skl(X9,X2))&(r2(X9,sK10_skl(X9,X2))&r4(X2,sK10_skl(X9,X2),sK9_skl(X9,X2))))&(r3(sK11_skl(X9,X2),X2,sK8_skl(X9,X2))&r4(X2,X9,sK11_skl(X9,X2))))),
% 0.18/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(Y2,sK8_skl(X9,X2)),skolemize(Y3,sK9_skl(X9,X2)),skolemize(Y14,sK10_skl(X9,X2)),skolemize(Y6,sK11_skl(X9,X2))],[f13])).
% 0.18/0.49 fof(f69,plain,(
% 0.18/0.49 ![X0,X1]: (r2(X0,sK10_skl(X0,X1)))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f67])).
% 0.18/0.49 fof(f89,plain,(
% 0.18/0.49 ![Y10]: ((![Y20]: (~id(Y20,Y10)|~r1(Y20)))|(![X7]: ~r2(X7,Y10)))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f18])).
% 0.18/0.49 fof(f90,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~r2(X2,X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f89])).
% 0.18/0.49 fof(f91,plain,(
% 0.18/0.49 (?[X1]: ![Y2,Y1]: ((?[Y4]: (id(Y1,Y4)&r1(Y4)))|(![Y3]: (~id(Y3,Y2)|~r3(X1,Y1,Y3)))))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.18/0.49 fof(f92,plain,(
% 0.18/0.49 ?[X1]: ![Y1]: ((?[Y4]: (id(Y1,Y4)&r1(Y4)))|(![Y3]: ((![Y2]: ~id(Y3,Y2))|~r3(X1,Y1,Y3))))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f91])).
% 0.18/0.49 fof(f93,plain,(
% 0.18/0.49 ![Y1]: ((id(Y1,sK21_skl(Y1))&r1(sK21_skl(Y1)))|(![Y3]: ((![Y2]: ~id(Y3,Y2))|~r3(sK20_skl,Y1,Y3))))),
% 0.18/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(X1,sK20_skl),skolemize(Y4,sK21_skl(Y1))],[f92])).
% 0.18/0.49 fof(f94,plain,(
% 0.18/0.49 ![X0,X1,X2]: (id(X0,sK21_skl(X0))|~id(X1,X2)|~r3(sK20_skl,X0,X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f93])).
% 0.18/0.49 fof(f95,plain,(
% 0.18/0.49 ![X0,X1,X2]: (r1(sK21_skl(X0))|~id(X1,X2)|~r3(sK20_skl,X0,X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f93])).
% 0.18/0.49 fof(f141,plain,(
% 0.18/0.49 ![X0,X1]: (id(X0,sK21_skl(X0))|~r3(sK20_skl,X0,X1))),
% 0.18/0.49 inference(resolution,[status(thm)],[f41,f94])).
% 0.18/0.49 fof(f142,plain,(
% 0.18/0.49 ![X0,X1]: (r1(sK21_skl(X0))|~r3(sK20_skl,X0,X1))),
% 0.18/0.49 inference(resolution,[status(thm)],[f41,f95])).
% 0.18/0.49 fof(f178,plain,(
% 0.18/0.49 ![X0]: (r1(sK21_skl(X0)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f66,f142])).
% 0.18/0.49 fof(f179,plain,(
% 0.18/0.49 ![X0]: (id(X0,sK21_skl(X0)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f66,f141])).
% 0.18/0.51 fof(f180,plain,(
% 0.18/0.51 ![X0,X1,X2]: (~id(sK21_skl(X0),X1)|~r2(X2,X1))),
% 0.18/0.51 inference(resolution,[status(thm)],[f178,f90])).
% 0.18/0.51 fof(f186,plain,(
% 0.18/0.51 ![X0,X1,X2]: (~id(sK21_skl(X0),sK10_skl(X1,X2)))),
% 0.18/0.51 inference(resolution,[status(thm)],[f180,f69])).
% 0.18/0.51 fof(f189,plain,(
% 0.18/0.51 ![X0,X1,X2]: (~id(sK10_skl(X0,X1),sK21_skl(X2)))),
% 0.18/0.51 inference(resolution,[status(thm)],[f186,f42])).
% 0.18/0.51 fof(f278,plain,(
% 0.18/0.51 $false),
% 0.18/0.51 inference(resolution,[status(thm)],[f189,f179])).
% 0.18/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.56 % Elapsed time: 0.099552 seconds
% 0.23/0.56 % CPU time: 0.121317 seconds
% 0.23/0.56 % Total memory used: 5.892 MB
% 0.23/0.56 % Net memory used: 5.823 MB
%------------------------------------------------------------------------------