%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM835+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 01:43:54 PM UTC 2026
% Result : Theorem 0.10s 18.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM835+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/18.45 % Computer : n010.cluster.edu
% 0.10/18.45 % Model : x86_64 x86_64
% 0.10/18.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/18.45 % Memory : 8046.5625MB
% 0.10/18.45 % OS : Linux 6.8.0-71-generic
% 0.10/18.45 % CPULimit : 300
% 0.10/18.45 % WCLimit : 300
% 0.10/18.45 % DateTime : Mon Sep 21 03:12:54 UTC 2026
% 0.10/18.46 % CPUTime :
% 0.10/18.47 % Drodi V4.1.1
% 0.10/18.49 % Refutation found
% 0.10/18.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/18.49 % SZS output start CNFRefutation for theBenchmark
% 0.10/18.49 fof(f1,conjecture,(
% 0.10/18.49 ( (? [Vd180] : vd165 = vplus(vd151,Vd180))| (? [Vd170] : vd151 = vplus(vd165,Vd170))| vd151 = vd165 ) ),
% 0.10/18.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/18.49 fof(f2,negated_conjecture,(
% 0.10/18.49 ~(( (? [Vd180] : vd165 = vplus(vd151,Vd180))| (? [Vd170] : vd151 = vplus(vd165,Vd170))| vd151 = vd165 ) )),
% 0.10/18.49 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/18.49 fof(f18,axiom,(
% 0.10/18.49 (! [Vd151,Vd152] :( m(Vd152)<=> ( Vd151 = Vd152| (? [Vd155] : Vd151 = vplus(Vd152,Vd155))| (? [Vd157] : Vd152 = vplus(Vd151,Vd157) )) ) )),
% 0.10/18.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/18.49 fof(f26,plain,(
% 0.10/18.49 (((![Vd180]: ~vd165=vplus(vd151,Vd180))&(![Vd170]: ~vd151=vplus(vd165,Vd170)))&~vd151=vd165)),
% 0.10/18.49 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/18.49 fof(f27,plain,(
% 0.10/18.49 ![X0]: (~vd165=vplus(vd151,X0))),
% 0.10/18.49 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/18.49 fof(f28,plain,(
% 0.10/18.49 ![X0]: (~vd151=vplus(vd165,X0))),
% 0.10/18.49 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/18.49 fof(f29,plain,(
% 0.10/18.49 ~vd151=vd165),
% 0.10/18.49 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/18.49 fof(f61,plain,(
% 0.10/18.49 ![Vd151,Vd152]: ((~m(Vd152)|((Vd151=Vd152|(?[Vd155]: Vd151=vplus(Vd152,Vd155)))|(?[Vd157]: Vd152=vplus(Vd151,Vd157))))&(m(Vd152)|((~Vd151=Vd152&(![Vd155]: ~Vd151=vplus(Vd152,Vd155)))&(![Vd157]: ~Vd152=vplus(Vd151,Vd157)))))),
% 0.10/18.49 inference(NNF_transformation,[status(thm)],[f18])).
% 0.10/18.49 fof(f62,plain,(
% 0.10/18.49 (![Vd152]: (~m(Vd152)|(![Vd151]: ((Vd151=Vd152|(?[Vd155]: Vd151=vplus(Vd152,Vd155)))|(?[Vd157]: Vd152=vplus(Vd151,Vd157))))))&(![Vd152]: (m(Vd152)|(((![Vd151]: ~Vd151=Vd152)&(![Vd151,Vd155]: ~Vd151=vplus(Vd152,Vd155)))&(![Vd151,Vd157]: ~Vd152=vplus(Vd151,Vd157)))))),
% 0.10/18.49 inference(miniscoping,[status(thm)],[f61])).
% 0.10/18.49 fof(f63,plain,(
% 0.10/18.49 (![Vd152]: (~m(Vd152)|(![Vd151]: ((Vd151=Vd152|Vd151=vplus(Vd152,sK0_skl(Vd151,Vd152)))|Vd152=vplus(Vd151,sK1_skl(Vd151,Vd152))))))&(![Vd152]: (m(Vd152)|(((![Vd151]: ~Vd151=Vd152)&(![Vd151,Vd155]: ~Vd151=vplus(Vd152,Vd155)))&(![Vd151,Vd157]: ~Vd152=vplus(Vd151,Vd157)))))),
% 0.10/18.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Vd155,sK0_skl(Vd151,Vd152)),skolemize(Vd157,sK1_skl(Vd151,Vd152))],[f62])).
% 0.10/18.49 fof(f64,plain,(
% 0.10/18.49 ![X0,X1]: (~m(X0)|X1=X0|X1=vplus(X0,sK0_skl(X1,X0))|X0=vplus(X1,sK1_skl(X1,X0)))),
% 0.10/18.49 inference(cnf_transformation,[status(thm)],[f63])).
% 0.10/18.49 fof(f65,plain,(
% 0.10/18.49 ![X0,X1]: (m(X0)|~X1=X0)),
% 0.10/18.49 inference(cnf_transformation,[status(thm)],[f63])).
% 0.10/18.49 fof(f117,definition,(
% 0.10/18.49 sQ10_spl <=> (vd151=vd165)),
% 0.10/18.49 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/18.49 fof(f118,plain,(
% 0.10/18.49 vd151=vd165|~sQ10_spl),
% 0.10/18.49 inference(component_clause,[status(thm)],[f117])).
% 0.10/18.49 fof(f126,plain,(
% 0.10/18.49 ![X0]: (m(X0))),
% 0.10/18.49 inference(destructive_equality_resolution,[status(thm)],[f65])).
% 0.10/18.49 fof(f177,plain,(
% 0.10/18.49 ![X0,X1]: (X0=X1|X0=vplus(X1,sK0_skl(X0,X1))|X1=vplus(X0,sK1_skl(X0,X1)))),
% 0.10/18.49 inference(forward_subsumption_resolution,[status(thm)],[f64,f126])).
% 0.10/18.49 fof(f178,plain,(
% 0.10/18.49 vd165=vd151|vd151=vplus(vd165,sK1_skl(vd165,vd151))),
% 0.10/18.49 inference(resolution,[status(thm)],[f177,f27])).
% 0.10/18.49 fof(f190,definition,(
% 0.10/18.49 sQ12_spl <=> (vd151=vplus(vd165,sK1_skl(vd165,vd151)))),
% 0.10/18.49 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/18.49 fof(f191,plain,(
% 0.10/18.49 vd151=vplus(vd165,sK1_skl(vd165,vd151))|~sQ12_spl),
% 0.10/18.49 inference(component_clause,[status(thm)],[f190])).
% 0.10/18.49 fof(f193,plain,(
% 0.10/18.49 sQ10_spl|sQ12_spl),
% 0.10/18.49 inference(split_clause,[status(thm)],[f178,f117,f190])).
% 0.10/18.49 fof(f210,plain,(
% 0.10/18.49 $false|~sQ10_spl),
% 0.10/18.49 inference(forward_subsumption_resolution,[status(thm)],[f118,f29])).
% 0.10/18.49 fof(f211,plain,(
% 0.10/18.49 ~sQ10_spl),
% 0.10/18.49 inference(contradiction_clause,[status(thm)],[f210])).
% 0.10/18.49 fof(f212,plain,(
% 0.10/18.49 $false|~sQ12_spl),
% 0.10/18.49 inference(forward_subsumption_resolution,[status(thm)],[f191,f28])).
% 0.10/18.49 fof(f213,plain,(
% 0.10/18.49 ~sQ12_spl),
% 0.10/18.49 inference(contradiction_clause,[status(thm)],[f212])).
% 0.10/18.49 fof(f214,plain,(
% 0.10/18.49 $false),
% 0.10/18.49 inference(sat_refutation,[status(thm)],[f193,f211,f213])).
% 0.10/18.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/18.51 % Elapsed time: 0.047614 seconds
% 0.14/18.51 % CPU time: 0.141216 seconds
% 0.14/18.51 % Total memory used: 73.539 MB
% 0.14/18.51 % Net memory used: 73.429 MB
%------------------------------------------------------------------------------