%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:43:56 PM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.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 03:15:01 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,conjecture,(
% 0.13/0.42 (? [Vd473] : vd470 = vplus(vd471,Vd473) )),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,negated_conjecture,(
% 0.13/0.42 ~((? [Vd473] : vd470 = vplus(vd471,Vd473) ))),
% 0.13/0.42 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 greater(vd470,vd471) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f30,axiom,(
% 0.13/0.42 (! [Vd208,Vd209] :( greater(Vd208,Vd209)=> less(Vd209,Vd208) ) )),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f35,axiom,(
% 0.13/0.42 (! [Vd198,Vd199] :( less(Vd199,Vd198)<=> (? [Vd201] : Vd198 = vplus(Vd199,Vd201) )) )),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f53,plain,(
% 0.13/0.42 (![Vd473]: ~vd470=vplus(vd471,Vd473))),
% 0.13/0.42 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f54,plain,(
% 0.13/0.42 ![X0]: (~vd470=vplus(vd471,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f53])).
% 0.13/0.42 fof(f55,plain,(
% 0.13/0.42 greater(vd470,vd471)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.42 fof(f119,plain,(
% 0.13/0.42 ![Vd208,Vd209]: (~greater(Vd208,Vd209)|less(Vd209,Vd208))),
% 0.13/0.42 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.13/0.42 fof(f120,plain,(
% 0.13/0.42 ![X0,X1]: (~greater(X0,X1)|less(X1,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f119])).
% 0.13/0.42 fof(f125,plain,(
% 0.13/0.42 ![Vd198,Vd199]: ((~less(Vd199,Vd198)|(?[Vd201]: Vd198=vplus(Vd199,Vd201)))&(less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.13/0.42 inference(NNF_transformation,[status(thm)],[f35])).
% 0.13/0.42 fof(f126,plain,(
% 0.13/0.42 (![Vd198,Vd199]: (~less(Vd199,Vd198)|(?[Vd201]: Vd198=vplus(Vd199,Vd201))))&(![Vd198,Vd199]: (less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f125])).
% 0.13/0.42 fof(f127,plain,(
% 0.13/0.42 (![Vd198,Vd199]: (~less(Vd199,Vd198)|Vd198=vplus(Vd199,sK0_skl(Vd199,Vd198))))&(![Vd198,Vd199]: (less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.13/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd201,sK0_skl(Vd199,Vd198))],[f126])).
% 0.13/0.42 fof(f128,plain,(
% 0.13/0.42 ![X0,X1]: (~less(X0,X1)|X1=vplus(X0,sK0_skl(X0,X1)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f127])).
% 0.13/0.42 fof(f531,plain,(
% 0.13/0.42 less(vd471,vd470)),
% 0.13/0.42 inference(resolution,[status(thm)],[f120,f55])).
% 0.13/0.42 fof(f1123,plain,(
% 0.13/0.42 vd470=vplus(vd471,sK0_skl(vd471,vd470))),
% 0.13/0.42 inference(resolution,[status(thm)],[f128,f531])).
% 0.13/0.42 fof(f1130,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1123,f54])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.082973 seconds
% 0.13/0.44 % CPU time: 0.288702 seconds
% 0.13/0.44 % Total memory used: 105.946 MB
% 0.13/0.44 % Net memory used: 105.660 MB
%------------------------------------------------------------------------------