%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN070+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 : n010.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 0.23s 5.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN070+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.46 % Computer : n010.cluster.edu
% 0.19/5.46 % Model : x86_64 x86_64
% 0.19/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46 % Memory : 8046.5625MB
% 0.19/5.46 % OS : Linux 6.8.0-71-generic
% 0.19/5.46 % CPULimit : 300
% 0.19/5.46 % WCLimit : 300
% 0.19/5.46 % DateTime : Mon Sep 21 03:24:46 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.47 % Drodi V4.1.1
% 0.23/5.52 % Refutation found
% 0.23/5.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/5.52 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.52 fof(f13,axiom,(
% 0.23/5.52 (! [X2,X9] :(? [Y2] :( (? [Y3] :( id(Y3,Y2)& (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ) )))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 0.23/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.52 fof(f15,axiom,(
% 0.23/5.52 (! [X4] :(? [Y9] :( id(Y9,X4)& (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ) )) ))),
% 0.23/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.52 fof(f19,conjecture,(
% 0.23/5.52 (? [Y1] :( (? [Y2] :( (? [Y4] :( r1(Y4)& r3(Y2,Y4,Y1) ))& (? [Y5] :( r1(Y5)& r2(Y5,Y2) ) )))& (? [Y3] :( id(Y1,Y3)& (? [Y6] :( r1(Y6)& r2(Y6,Y3) ) )) )) )),
% 0.23/5.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.52 fof(f20,negated_conjecture,(
% 0.23/5.52 ~((? [Y1] :( (? [Y2] :( (? [Y4] :( r1(Y4)& r3(Y2,Y4,Y1) ))& (? [Y5] :( r1(Y5)& r2(Y5,Y2) ) )))& (? [Y3] :( id(Y1,Y3)& (? [Y6] :( r1(Y6)& r2(Y6,Y3) ) )) )) ))),
% 0.23/5.52 inference(negated_conjecture,[status(cth)],[f19])).
% 0.23/5.52 fof(f67,plain,(
% 0.23/5.52 ![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))))),
% 0.23/5.52 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])).
% 0.23/5.52 fof(f69,plain,(
% 0.23/5.52 ![X0,X1]: (r2(X0,sK10_skl(X0,X1)))),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f67])).
% 0.23/5.52 fof(f74,plain,(
% 0.23/5.52 ![X4]: (id(sK12_skl(X4),X4)&(r1(sK13_skl(X4))&r3(X4,sK13_skl(X4),sK12_skl(X4))))),
% 0.23/5.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f15])).
% 0.23/5.52 fof(f75,plain,(
% 0.23/5.52 ![X0]: (id(sK12_skl(X0),X0))),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f74])).
% 0.23/5.52 fof(f76,plain,(
% 0.23/5.52 ![X0]: (r1(sK13_skl(X0)))),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f74])).
% 0.23/5.52 fof(f77,plain,(
% 0.23/5.52 ![X0]: (r3(X0,sK13_skl(X0),sK12_skl(X0)))),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f74])).
% 0.23/5.52 fof(f91,plain,(
% 0.23/5.52 (![Y1]: ((![Y2]: ((![Y4]: (~r1(Y4)|~r3(Y2,Y4,Y1)))|(![Y5]: (~r1(Y5)|~r2(Y5,Y2)))))|(![Y3]: (~id(Y1,Y3)|(![Y6]: (~r1(Y6)|~r2(Y6,Y3)))))))),
% 0.23/5.52 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.23/5.52 fof(f92,plain,(
% 0.23/5.52 ![X0,X1,X2,X3,X4,X5]: (~r1(X0)|~r3(X1,X0,X2)|~r1(X3)|~r2(X3,X1)|~id(X2,X4)|~r1(X5)|~r2(X5,X4))),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f91])).
% 0.23/5.52 fof(f139,plain,(
% 0.23/5.52 ![X0,X1,X2,X3,X4]: (~r1(X0)|~r3(X1,X0,X2)|~r2(sK13_skl(X3),X1)|~id(X2,X4)|~r2(sK13_skl(X3),X4))),
% 0.23/5.52 inference(resolution,[status(thm)],[f76,f92])).
% 0.23/5.52 fof(f160,plain,(
% 0.23/5.52 ![X0,X1,X2,X3,X4]: (~r1(X0)|~r3(X1,X0,X2)|~r2(sK13_skl(X3),X1)|~id(X2,sK10_skl(sK13_skl(X3),X4)))),
% 0.23/5.52 inference(resolution,[status(thm)],[f69,f139])).
% 0.23/5.52 fof(f230,plain,(
% 0.23/5.52 ![X0,X1,X2]: (~r1(sK13_skl(X0))|~r2(sK13_skl(X1),X0)|~id(sK12_skl(X0),sK10_skl(sK13_skl(X1),X2)))),
% 0.23/5.52 inference(resolution,[status(thm)],[f77,f160])).
% 0.23/5.52 fof(f236,plain,(
% 0.23/5.52 ![X0,X1,X2]: (~r2(sK13_skl(X0),X1)|~id(sK12_skl(X1),sK10_skl(sK13_skl(X0),X2)))),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f230,f76])).
% 0.23/5.52 fof(f252,plain,(
% 0.23/5.52 ![X0,X1,X2]: (~id(sK12_skl(sK10_skl(sK13_skl(X0),X1)),sK10_skl(sK13_skl(X0),X2)))),
% 0.23/5.52 inference(resolution,[status(thm)],[f236,f69])).
% 0.23/5.52 fof(f254,plain,(
% 0.23/5.52 $false),
% 0.23/5.52 inference(resolution,[status(thm)],[f252,f75])).
% 0.23/5.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.54 % Elapsed time: 0.060773 seconds
% 0.23/5.54 % CPU time: 0.297784 seconds
% 0.23/5.54 % Total memory used: 20.464 MB
% 0.23/5.54 % Net memory used: 20.121 MB
%------------------------------------------------------------------------------