%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN081+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 : n026.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 01:57:27 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN081+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 03:27:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f13,axiom,(
% 0.10/0.40 (! [X2,X9] :(? [Y2] :( (? [Y3] :( id(Y3,Y2)& (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ) )))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f15,axiom,(
% 0.10/0.40 (! [X4] :(? [Y9] :( id(Y9,X4)& (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ) )) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f16,axiom,(
% 0.10/0.40 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( id(Y8,Y18)& r1(Y18) ) )) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,conjecture,(
% 0.10/0.40 (? [Y1,Y2,Y3] :( r3(Y1,Y2,Y3)& (? [Y4] :( id(Y3,Y4)& (? [Y5] :( r2(Y5,Y4)& (? [Y6] :( r2(Y6,Y5)& (? [Y7] :( r1(Y7)& r2(Y7,Y6) ) )) )) )) )) )),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,negated_conjecture,(
% 0.10/0.40 ~((? [Y1,Y2,Y3] :( r3(Y1,Y2,Y3)& (? [Y4] :( id(Y3,Y4)& (? [Y5] :( r2(Y5,Y4)& (? [Y6] :( r2(Y6,Y5)& (? [Y7] :( r1(Y7)& r2(Y7,Y6) ) )) )) )) )) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f19])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 ![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))))),
% 0.10/0.40 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])).
% 0.10/0.40 fof(f69,plain,(
% 0.10/0.40 ![X0,X1]: (r2(X0,sK10_skl(X0,X1)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f67])).
% 0.10/0.40 fof(f74,plain,(
% 0.10/0.40 ![X4]: (id(sK12_skl(X4),X4)&(r1(sK13_skl(X4))&r3(X4,sK13_skl(X4),sK12_skl(X4))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f15])).
% 0.10/0.40 fof(f75,plain,(
% 0.10/0.40 ![X0]: (id(sK12_skl(X0),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f74])).
% 0.10/0.40 fof(f77,plain,(
% 0.10/0.40 ![X0]: (r3(X0,sK13_skl(X0),sK12_skl(X0)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f74])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 ![X5]: ((r1(sK15_skl(X5))&r4(X5,sK15_skl(X5),sK14_skl(X5)))&(id(sK14_skl(X5),sK16_skl(X5))&r1(sK16_skl(X5))))),
% 0.10/0.40 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))],[f16])).
% 0.10/0.40 fof(f79,plain,(
% 0.10/0.40 ![X0]: (r1(sK15_skl(X0)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f78])).
% 0.10/0.40 fof(f91,plain,(
% 0.10/0.40 (![Y1,Y2,Y3]: (~r3(Y1,Y2,Y3)|(![Y4]: (~id(Y3,Y4)|(![Y5]: (~r2(Y5,Y4)|(![Y6]: (~r2(Y6,Y5)|(![Y7]: (~r1(Y7)|~r2(Y7,Y6)))))))))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.10/0.40 fof(f92,plain,(
% 0.10/0.40 ![Y3]: ((![Y1,Y2]: ~r3(Y1,Y2,Y3))|(![Y4]: (~id(Y3,Y4)|(![Y5]: (~r2(Y5,Y4)|(![Y6]: (~r2(Y6,Y5)|(![Y7]: (~r1(Y7)|~r2(Y7,Y6))))))))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f91])).
% 0.10/0.40 fof(f93,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5,X6]: (~r3(X0,X1,X2)|~id(X2,X3)|~r2(X4,X3)|~r2(X5,X4)|~r1(X6)|~r2(X6,X5))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f92])).
% 0.10/0.40 fof(f142,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5,X6]: (~r3(X0,X1,X2)|~id(X2,X3)|~r2(X4,X3)|~r2(X5,X4)|~r2(sK15_skl(X6),X5))),
% 0.10/0.40 inference(resolution,[status(thm)],[f79,f93])).
% 0.10/0.40 fof(f150,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4,X5,X6]: (~r3(X0,X1,X2)|~id(X2,X3)|~r2(X4,X3)|~r2(sK10_skl(sK15_skl(X5),X6),X4))),
% 0.10/0.40 inference(resolution,[status(thm)],[f69,f142])).
% 0.10/0.40 fof(f187,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4]: (~id(sK12_skl(X0),X1)|~r2(X2,X1)|~r2(sK10_skl(sK15_skl(X3),X4),X2))),
% 0.10/0.40 inference(resolution,[status(thm)],[f77,f150])).
% 0.10/0.40 fof(f190,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4]: (~id(sK12_skl(X0),X1)|~r2(sK10_skl(sK10_skl(sK15_skl(X2),X3),X4),X1))),
% 0.10/0.40 inference(resolution,[status(thm)],[f187,f69])).
% 0.10/0.40 fof(f192,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4]: (~id(sK12_skl(X0),sK10_skl(sK10_skl(sK10_skl(sK15_skl(X1),X2),X3),X4)))),
% 0.10/0.40 inference(resolution,[status(thm)],[f190,f69])).
% 0.10/0.40 fof(f194,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(resolution,[status(thm)],[f192,f75])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.037853 seconds
% 0.10/0.42 % CPU time: 0.093668 seconds
% 0.10/0.42 % Total memory used: 10.276 MB
% 0.10/0.42 % Net memory used: 10.193 MB
%------------------------------------------------------------------------------