%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM836+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 : 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 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM836+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:12:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,conjecture,(
% 0.10/0.39 ( ~ greater(vd203,vd204)| ~ less(vd203,vd204) ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,negated_conjecture,(
% 0.10/0.39 ~(( ~ greater(vd203,vd204)| ~ less(vd203,vd204) ) )),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.39 fof(f4,axiom,(
% 0.10/0.39 (! [Vd198,Vd199] :( less(Vd199,Vd198)<=> (? [Vd201] : Vd198 = vplus(Vd199,Vd201) )) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,axiom,(
% 0.10/0.39 (! [Vd193,Vd194] :( greater(Vd194,Vd193)<=> (? [Vd196] : Vd194 = vplus(Vd193,Vd196) )) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f8,axiom,(
% 0.10/0.39 (! [Vd120,Vd121] :( ~ (? [Vd123] : Vd120 = vplus(Vd121,Vd123))| ~ (? [Vd125] : Vd121 = vplus(Vd120,Vd125) )) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 (greater(vd203,vd204)&less(vd203,vd204))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 greater(vd203,vd204)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f15,plain,(
% 0.10/0.39 less(vd203,vd204)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f17,plain,(
% 0.10/0.39 ![Vd198,Vd199]: ((~less(Vd199,Vd198)|(?[Vd201]: Vd198=vplus(Vd199,Vd201)))&(less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f18,plain,(
% 0.10/0.39 (![Vd198,Vd199]: (~less(Vd199,Vd198)|(?[Vd201]: Vd198=vplus(Vd199,Vd201))))&(![Vd198,Vd199]: (less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f17])).
% 0.10/0.39 fof(f19,plain,(
% 0.10/0.39 (![Vd198,Vd199]: (~less(Vd199,Vd198)|Vd198=vplus(Vd199,sK0_skl(Vd199,Vd198))))&(![Vd198,Vd199]: (less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.10/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd201,sK0_skl(Vd199,Vd198))],[f18])).
% 0.10/0.39 fof(f20,plain,(
% 0.10/0.39 ![X0,X1]: (~less(X0,X1)|X1=vplus(X0,sK0_skl(X0,X1)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.39 fof(f22,plain,(
% 0.10/0.39 ![Vd193,Vd194]: ((~greater(Vd194,Vd193)|(?[Vd196]: Vd194=vplus(Vd193,Vd196)))&(greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 0.10/0.39 inference(NNF_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f23,plain,(
% 0.10/0.39 (![Vd193,Vd194]: (~greater(Vd194,Vd193)|(?[Vd196]: Vd194=vplus(Vd193,Vd196))))&(![Vd193,Vd194]: (greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 (![Vd193,Vd194]: (~greater(Vd194,Vd193)|Vd194=vplus(Vd193,sK1_skl(Vd194,Vd193))))&(![Vd193,Vd194]: (greater(Vd194,Vd193)|(![Vd196]: ~Vd194=vplus(Vd193,Vd196))))),
% 0.10/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Vd196,sK1_skl(Vd194,Vd193))],[f23])).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 ![X0,X1]: (~greater(X0,X1)|X0=vplus(X1,sK1_skl(X0,X1)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.39 fof(f31,plain,(
% 0.10/0.39 ![Vd120,Vd121]: ((![Vd123]: ~Vd120=vplus(Vd121,Vd123))|(![Vd125]: ~Vd121=vplus(Vd120,Vd125)))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.10/0.39 fof(f32,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (~X0=vplus(X1,X2)|~X1=vplus(X0,X3))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.39 fof(f51,plain,(
% 0.10/0.39 ![X0,X1,X2]: (~X0=vplus(vplus(X0,X1),X2))),
% 0.10/0.39 inference(destructive_equality_resolution,[status(thm)],[f32])).
% 0.10/0.39 fof(f53,plain,(
% 0.10/0.39 vd204=vplus(vd203,sK0_skl(vd203,vd204))),
% 0.10/0.39 inference(resolution,[status(thm)],[f20,f15])).
% 0.10/0.39 fof(f64,plain,(
% 0.10/0.39 ![X0]: (~vd203=vplus(vd204,X0))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f53,f51])).
% 0.10/0.39 fof(f134,plain,(
% 0.10/0.39 vd203=vplus(vd204,sK1_skl(vd203,vd204))),
% 0.10/0.39 inference(resolution,[status(thm)],[f25,f14])).
% 0.10/0.39 fof(f135,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f134,f64])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.030639 seconds
% 0.10/0.41 % CPU time: 0.073926 seconds
% 0.10/0.41 % Total memory used: 12.792 MB
% 0.10/0.41 % Net memory used: 12.772 MB
%------------------------------------------------------------------------------