%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM837+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 : n019.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 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM837+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n019.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Mon Sep 21 03:12:35 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.34 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f1,conjecture,(
% 0.10/0.37 (? [Vd273] : vd269 = vplus(vd268,Vd273) )),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f2,negated_conjecture,(
% 0.10/0.37 ~((? [Vd273] : vd269 = vplus(vd268,Vd273) ))),
% 0.10/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.37 fof(f4,axiom,(
% 0.10/0.37 less(vd268,vd269) ),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f15,axiom,(
% 0.10/0.37 (! [Vd198,Vd199] :( less(Vd199,Vd198)<=> (? [Vd201] : Vd198 = vplus(Vd199,Vd201) )) )),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f24,plain,(
% 0.10/0.37 (![Vd273]: ~vd269=vplus(vd268,Vd273))),
% 0.10/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.37 fof(f25,plain,(
% 0.10/0.37 ![X0]: (~vd269=vplus(vd268,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.37 fof(f27,plain,(
% 0.10/0.37 less(vd268,vd269)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.37 fof(f50,plain,(
% 0.10/0.37 ![Vd198,Vd199]: ((~less(Vd199,Vd198)|(?[Vd201]: Vd198=vplus(Vd199,Vd201)))&(less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.10/0.37 inference(NNF_transformation,[status(thm)],[f15])).
% 0.10/0.37 fof(f51,plain,(
% 0.10/0.37 (![Vd198,Vd199]: (~less(Vd199,Vd198)|(?[Vd201]: Vd198=vplus(Vd199,Vd201))))&(![Vd198,Vd199]: (less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f50])).
% 0.10/0.37 fof(f52,plain,(
% 0.10/0.37 (![Vd198,Vd199]: (~less(Vd199,Vd198)|Vd198=vplus(Vd199,sK0_skl(Vd199,Vd198))))&(![Vd198,Vd199]: (less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.10/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd201,sK0_skl(Vd199,Vd198))],[f51])).
% 0.10/0.37 fof(f53,plain,(
% 0.10/0.37 ![X0,X1]: (~less(X0,X1)|X1=vplus(X0,sK0_skl(X0,X1)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f52])).
% 0.10/0.37 fof(f161,plain,(
% 0.10/0.37 vd269=vplus(vd268,sK0_skl(vd268,vd269))),
% 0.10/0.37 inference(resolution,[status(thm)],[f53,f27])).
% 0.10/0.37 fof(f163,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f161,f25])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.061771 seconds
% 0.10/0.41 % CPU time: 0.205551 seconds
% 0.10/0.41 % Total memory used: 102.413 MB
% 0.10/0.41 % Net memory used: 102.124 MB
%------------------------------------------------------------------------------