%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN060+2 : 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 : n006.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 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN060+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n006.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 21 03:23:27 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f1,axiom,(
% 0.19/0.49 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f5,axiom,(
% 0.19/0.49 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f6,axiom,(
% 0.19/0.49 (! [X2,X9] :(? [Y2] :( (? [Y3] :( (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ))& Y3 = Y2 ))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f12,conjecture,(
% 0.19/0.49 (? [Y1,Y2,Y3] :( Y3 = Y1& (? [Y4] :( r3(Y2,Y4,Y3)& (? [Y5] :( r2(Y5,Y4)& (? [Y6] :( r2(Y6,Y5)& (? [Y7] :( r2(Y7,Y6)& (? [Y8] :( r1(Y8)& r2(Y8,Y7) ) )) )) )) )) )) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f13,negated_conjecture,(
% 0.19/0.49 ~((? [Y1,Y2,Y3] :( Y3 = Y1& (? [Y4] :( r3(Y2,Y4,Y3)& (? [Y5] :( r2(Y5,Y4)& (? [Y6] :( r2(Y6,Y5)& (? [Y7] :( r2(Y7,Y6)& (? [Y8] :( r1(Y8)& r2(Y8,Y7) ) )) )) )) )) )) ))),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f12])).
% 0.19/0.49 fof(f14,definition,(
% 0.19/0.49 ![Y24,X19]: (sP0_prd(X19,Y24)<=>(~r1(X19)&~X19=Y24))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.19/0.49 fof(f15,plain,(
% 0.19/0.49 ?[Y24]: ![X19]: (sP0_prd(X19,Y24)|(r1(X19)&X19=Y24))),
% 0.19/0.49 inference(formula_renaming,[status(thm)],[f1,f14])).
% 0.19/0.49 fof(f16,plain,(
% 0.19/0.49 ![X19]: (sP0_prd(X19,sK0_skl)|(r1(X19)&X19=sK0_skl))),
% 0.19/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f15])).
% 0.19/0.49 fof(f17,plain,(
% 0.19/0.49 ![X0]: (sP0_prd(X0,sK0_skl)|r1(X0))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.49 fof(f34,plain,(
% 0.19/0.49 ![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))))),
% 0.19/0.49 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))],[f5])).
% 0.19/0.49 fof(f39,plain,(
% 0.19/0.49 ![X0,X1]: (r3(X0,X1,sK7_skl(X1,X0)))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f34])).
% 0.19/0.49 fof(f40,plain,(
% 0.19/0.49 ![X2,X9]: (((r2(X9,sK10_skl(X9,X2))&r4(X2,sK10_skl(X9,X2),sK9_skl(X9,X2)))&sK9_skl(X9,X2)=sK8_skl(X9,X2))&(r3(sK11_skl(X9,X2),X2,sK8_skl(X9,X2))&r4(X2,X9,sK11_skl(X9,X2))))),
% 0.19/0.49 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))],[f6])).
% 0.19/0.49 fof(f41,plain,(
% 0.19/0.49 ![X0,X1]: (r2(X0,sK10_skl(X0,X1)))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f40])).
% 0.19/0.49 fof(f64,plain,(
% 0.19/0.49 (![Y1,Y2,Y3]: (~Y3=Y1|(![Y4]: (~r3(Y2,Y4,Y3)|(![Y5]: (~r2(Y5,Y4)|(![Y6]: (~r2(Y6,Y5)|(![Y7]: (~r2(Y7,Y6)|(![Y8]: (~r1(Y8)|~r2(Y8,Y7)))))))))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.19/0.49 fof(f65,plain,(
% 0.19/0.49 ![Y3]: ((![Y1]: ~Y3=Y1)|(![Y4]: ((![Y2]: ~r3(Y2,Y4,Y3))|(![Y5]: (~r2(Y5,Y4)|(![Y6]: (~r2(Y6,Y5)|(![Y7]: (~r2(Y7,Y6)|(![Y8]: (~r1(Y8)|~r2(Y8,Y7))))))))))))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f64])).
% 0.19/0.49 fof(f66,plain,(
% 0.19/0.49 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~X0=X1|~r3(X2,X3,X0)|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r1(X7)|~r2(X7,X6))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f65])).
% 0.19/0.49 fof(f67,plain,(
% 0.19/0.49 ![Y24,X19]: ((~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24))&(sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 0.19/0.49 inference(NNF_transformation,[status(thm)],[f14])).
% 0.19/0.49 fof(f68,plain,(
% 0.19/0.49 (![Y24,X19]: (~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24)))&(![Y24,X19]: (sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f67])).
% 0.19/0.49 fof(f70,plain,(
% 0.19/0.49 ![X0,X1]: (~sP0_prd(X0,X1)|~X0=X1)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f68])).
% 0.19/0.49 fof(f94,plain,(
% 0.19/0.49 ![X0,X1,X2,X3,X4,X5,X6]: (~r3(X0,X1,X2)|~r2(X3,X1)|~r2(X4,X3)|~r2(X5,X4)|~r1(X6)|~r2(X6,X5))),
% 0.19/0.49 inference(destructive_equality_resolution,[status(thm)],[f66])).
% 0.19/0.49 fof(f95,plain,(
% 0.19/0.49 ![X0]: (~sP0_prd(X0,X0))),
% 0.19/0.49 inference(destructive_equality_resolution,[status(thm)],[f70])).
% 0.19/0.49 fof(f100,plain,(
% 0.19/0.49 r1(sK0_skl)),
% 0.19/0.49 inference(resolution,[status(thm)],[f17,f95])).
% 0.19/0.49 fof(f123,plain,(
% 0.19/0.49 ![X0,X1,X2,X3,X4]: (~r2(X0,X1)|~r2(X2,X0)|~r2(X3,X2)|~r1(X4)|~r2(X4,X3))),
% 0.19/0.49 inference(resolution,[status(thm)],[f39,f94])).
% 0.19/0.49 fof(f128,plain,(
% 0.19/0.49 ![X0,X1,X2,X3,X4]: (~r2(sK10_skl(X0,X1),X2)|~r2(X3,X0)|~r1(X4)|~r2(X4,X3))),
% 0.19/0.49 inference(resolution,[status(thm)],[f123,f41])).
% 0.19/0.49 fof(f135,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~r2(X0,X1)|~r1(X2)|~r2(X2,X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f128,f41])).
% 0.19/0.49 fof(f137,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~r2(sK10_skl(X0,X1),X2)|~r1(X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f135,f41])).
% 0.19/0.49 fof(f139,plain,(
% 0.19/0.49 ![X0]: (~r1(X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f137,f41])).
% 0.19/0.49 fof(f144,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(backward_subsumption_resolution,[status(thm)],[f100,f139])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.52 % Elapsed time: 0.069401 seconds
% 0.25/0.52 % CPU time: 0.187609 seconds
% 0.25/0.52 % Total memory used: 86.571 MB
% 0.25/0.52 % Net memory used: 86.455 MB
%------------------------------------------------------------------------------