%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN059+2 : 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 : n012.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 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN059+2 : TPTP v9.3.1. Bugfixed v7.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:23:21 UTC 2026
% 0.09/0.35 % 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(f1,axiom,(
% 0.12/0.38 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,axiom,(
% 0.12/0.38 (! [X4] :(? [Y9] :( (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ))& Y9 = X4 ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f12,conjecture,(
% 0.12/0.38 (? [Y1,Y3,Y2,Y4] :( (? [Y5] :( r4(Y2,Y2,Y5)& Y4 = Y5 ))& (? [Y6] :( r4(Y3,Y3,Y6)& (? [Y7] :( r4(Y1,Y1,Y7)& r3(Y7,Y6,Y4) ) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f13,negated_conjecture,(
% 0.12/0.38 ~((? [Y1,Y3,Y2,Y4] :( (? [Y5] :( r4(Y2,Y2,Y5)& Y4 = Y5 ))& (? [Y6] :( r4(Y3,Y3,Y6)& (? [Y7] :( r4(Y1,Y1,Y7)& r3(Y7,Y6,Y4) ) )) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f12])).
% 0.12/0.38 fof(f14,definition,(
% 0.12/0.38 ![Y24,X19]: (sP0_prd(X19,Y24)<=>(~r1(X19)&~X19=Y24))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ?[Y24]: ![X19]: (sP0_prd(X19,Y24)|(r1(X19)&X19=Y24))),
% 0.12/0.38 inference(formula_renaming,[status(thm)],[f1,f14])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![X19]: (sP0_prd(X19,sK0_skl)|(r1(X19)&X19=sK0_skl))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f15])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 ![X0]: (sP0_prd(X0,sK0_skl)|X0=sK0_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f47,plain,(
% 0.12/0.38 ![X4]: ((r1(sK13_skl(X4))&r3(X4,sK13_skl(X4),sK12_skl(X4)))&sK12_skl(X4)=X4)),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f8])).
% 0.12/0.38 fof(f48,plain,(
% 0.12/0.38 ![X0]: (r1(sK13_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 ![X0]: (r3(X0,sK13_skl(X0),sK12_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 ![X0]: (sK12_skl(X0)=X0)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 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(f52,plain,(
% 0.12/0.38 ![X0]: (r1(sK15_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 ![X0]: (r4(X0,sK15_skl(X0),sK14_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 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(f55,plain,(
% 0.12/0.38 ![X0]: (sK14_skl(X0)=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,Y3,Y2,Y4]: ((![Y5]: (~r4(Y2,Y2,Y5)|~Y4=Y5))|(![Y6]: (~r4(Y3,Y3,Y6)|(![Y7]: (~r4(Y1,Y1,Y7)|~r3(Y7,Y6,Y4)))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f65,plain,(
% 0.12/0.38 ![Y4]: ((![Y5]: ((![Y2]: ~r4(Y2,Y2,Y5))|~Y4=Y5))|(![Y6]: ((![Y3]: ~r4(Y3,Y3,Y6))|(![Y7]: ((![Y1]: ~r4(Y1,Y1,Y7))|~r3(Y7,Y6,Y4))))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f64])).
% 0.12/0.38 fof(f66,plain,(
% 0.12/0.38 ![X0,X1,X2,X3,X4,X5,X6]: (~r4(X0,X0,X1)|~X2=X1|~r4(X3,X3,X4)|~r4(X5,X5,X6)|~r3(X6,X4,X2))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.38 fof(f67,plain,(
% 0.12/0.38 ![Y24,X19]: ((~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24))&(sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f14])).
% 0.12/0.38 fof(f68,plain,(
% 0.12/0.38 (![Y24,X19]: (~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24)))&(![Y24,X19]: (sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f67])).
% 0.12/0.38 fof(f69,plain,(
% 0.12/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|~r1(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.38 fof(f95,plain,(
% 0.12/0.38 ![X0]: (r3(X0,sK13_skl(X0),X0))),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f50,f49])).
% 0.12/0.38 fof(f96,plain,(
% 0.12/0.38 ![X0]: (r4(X0,sK15_skl(X0),sK16_skl(X0)))),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f55,f53])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5]: (~r4(X0,X0,X1)|~r4(X2,X2,X3)|~r4(X4,X4,X5)|~r3(X5,X3,X1))),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f66])).
% 0.12/0.39 fof(f110,plain,(
% 0.12/0.39 ![X0]: (~r1(X0)|X0=sK0_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f69,f18])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 ![X0]: (sK16_skl(X0)=sK0_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f110,f54])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 ![X0]: (sK15_skl(X0)=sK0_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f110,f52])).
% 0.12/0.39 fof(f115,plain,(
% 0.12/0.39 ![X0]: (sK13_skl(X0)=sK0_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f110,f48])).
% 0.12/0.39 fof(f118,plain,(
% 0.12/0.39 ![X0]: (r4(X0,sK15_skl(X0),sK0_skl))),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f112,f96])).
% 0.12/0.39 fof(f121,plain,(
% 0.12/0.39 ![X0]: (r3(X0,sK0_skl,X0))),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f115,f95])).
% 0.12/0.39 fof(f122,plain,(
% 0.12/0.39 ![X0]: (r4(X0,sK0_skl,sK0_skl))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f113,f118])).
% 0.12/0.39 fof(f130,plain,(
% 0.12/0.39 ![X0,X1]: (~r4(X0,X0,X1)|~r3(sK0_skl,sK0_skl,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f122,f98])).
% 0.12/0.39 fof(f134,plain,(
% 0.12/0.39 ![X0]: (~r4(X0,X0,sK0_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f130,f121])).
% 0.12/0.39 fof(f135,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(resolution,[status(thm)],[f134,f122])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.046547 seconds
% 0.12/0.40 % CPU time: 0.127355 seconds
% 0.12/0.40 % Total memory used: 102.512 MB
% 0.12/0.40 % Net memory used: 102.400 MB
%------------------------------------------------------------------------------