%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM843+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 : n004.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 01:43:55 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM843+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
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:13:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,conjecture,(
% 0.15/0.41 greater(vd390,vd391) ),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f2,negated_conjecture,(
% 0.15/0.41 ~(greater(vd390,vd391) )),
% 0.15/0.41 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 ~ leq(vd390,vd391) ),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f16,axiom,(
% 0.15/0.41 (! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f17,axiom,(
% 0.15/0.41 (! [Vd289,Vd290,Vd292] :( ( leq(Vd290,Vd292)& leq(Vd289,Vd290) )=> leq(Vd289,Vd292) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f22,axiom,(
% 0.15/0.41 (! [Vd249,Vd250] :( leq(Vd250,Vd249)<=> ( less(Vd250,Vd249)| Vd250 = Vd249 ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f30,axiom,(
% 0.15/0.41 (! [Vd198,Vd199] :( less(Vd199,Vd198)<=> (? [Vd201] : Vd198 = vplus(Vd199,Vd201) )) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f32,axiom,(
% 0.15/0.41 (! [Vd120,Vd121] :( Vd120 = Vd121| (? [Vd123] : Vd120 = vplus(Vd121,Vd123))| (? [Vd125] : Vd121 = vplus(Vd120,Vd125) )) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f48,plain,(
% 0.15/0.41 ~greater(vd390,vd391)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f49,plain,(
% 0.15/0.41 ~leq(vd390,vd391)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f79,plain,(
% 0.15/0.41 ![X0,X1]: (greater(vplus(X0,X1),X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.41 fof(f80,plain,(
% 0.15/0.41 ![Vd289,Vd290,Vd292]: ((~leq(Vd290,Vd292)|~leq(Vd289,Vd290))|leq(Vd289,Vd292))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.15/0.41 fof(f81,plain,(
% 0.15/0.41 ![Vd289,Vd292]: ((![Vd290]: (~leq(Vd290,Vd292)|~leq(Vd289,Vd290)))|leq(Vd289,Vd292))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f80])).
% 0.15/0.41 fof(f82,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X2,X0)|leq(X2,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f81])).
% 0.15/0.41 fof(f94,plain,(
% 0.15/0.41 ![Vd249,Vd250]: ((~leq(Vd250,Vd249)|(less(Vd250,Vd249)|Vd250=Vd249))&(leq(Vd250,Vd249)|(~less(Vd250,Vd249)&~Vd250=Vd249)))),
% 0.15/0.41 inference(NNF_transformation,[status(thm)],[f22])).
% 0.15/0.41 fof(f95,plain,(
% 0.15/0.41 (![Vd249,Vd250]: (~leq(Vd250,Vd249)|(less(Vd250,Vd249)|Vd250=Vd249)))&(![Vd249,Vd250]: (leq(Vd250,Vd249)|(~less(Vd250,Vd249)&~Vd250=Vd249)))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f94])).
% 0.15/0.41 fof(f97,plain,(
% 0.15/0.41 ![X0,X1]: (leq(X0,X1)|~less(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f95])).
% 0.15/0.41 fof(f98,plain,(
% 0.15/0.41 ![X0,X1]: (leq(X0,X1)|~X0=X1)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f95])).
% 0.15/0.41 fof(f112,plain,(
% 0.15/0.41 ![Vd198,Vd199]: ((~less(Vd199,Vd198)|(?[Vd201]: Vd198=vplus(Vd199,Vd201)))&(less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.15/0.41 inference(NNF_transformation,[status(thm)],[f30])).
% 0.15/0.41 fof(f113,plain,(
% 0.15/0.41 (![Vd198,Vd199]: (~less(Vd199,Vd198)|(?[Vd201]: Vd198=vplus(Vd199,Vd201))))&(![Vd198,Vd199]: (less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f112])).
% 0.15/0.41 fof(f114,plain,(
% 0.15/0.41 (![Vd198,Vd199]: (~less(Vd199,Vd198)|Vd198=vplus(Vd199,sK0_skl(Vd199,Vd198))))&(![Vd198,Vd199]: (less(Vd199,Vd198)|(![Vd201]: ~Vd198=vplus(Vd199,Vd201))))),
% 0.15/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd201,sK0_skl(Vd199,Vd198))],[f113])).
% 0.15/0.41 fof(f116,plain,(
% 0.15/0.41 ![X0,X1,X2]: (less(X0,X1)|~X1=vplus(X0,X2))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f114])).
% 0.15/0.41 fof(f122,plain,(
% 0.15/0.41 ![Vd120,Vd121]: ((Vd120=Vd121|Vd120=vplus(Vd121,sK2_skl(Vd121,Vd120)))|Vd121=vplus(Vd120,sK3_skl(Vd121,Vd120)))),
% 0.15/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Vd123,sK2_skl(Vd121,Vd120)),skolemize(Vd125,sK3_skl(Vd121,Vd120))],[f32])).
% 0.15/0.41 fof(f123,plain,(
% 0.15/0.41 ![X0,X1]: (X0=X1|X0=vplus(X1,sK2_skl(X1,X0))|X1=vplus(X0,sK3_skl(X1,X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f122])).
% 0.15/0.41 fof(f148,plain,(
% 0.15/0.41 ![X0]: (leq(X0,X0))),
% 0.15/0.41 inference(destructive_equality_resolution,[status(thm)],[f98])).
% 0.15/0.41 fof(f152,plain,(
% 0.15/0.41 ![X0,X1]: (less(X0,vplus(X0,X1)))),
% 0.15/0.41 inference(destructive_equality_resolution,[status(thm)],[f116])).
% 0.15/0.41 fof(f182,plain,(
% 0.15/0.41 ![X0]: (~leq(X0,vd391)|~leq(vd390,X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f82,f49])).
% 0.15/0.41 fof(f231,plain,(
% 0.15/0.41 ![X0,X1]: (leq(X0,vplus(X0,X1)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f97,f152])).
% 0.15/0.41 fof(f292,plain,(
% 0.15/0.41 ![X0]: (~leq(vplus(vd390,X0),vd391))),
% 0.15/0.41 inference(resolution,[status(thm)],[f231,f182])).
% 0.15/0.41 fof(f435,plain,(
% 0.15/0.41 ![X0,X1]: (greater(X0,X1)|X0=X1|X1=vplus(X0,sK3_skl(X1,X0)))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f123,f79])).
% 0.15/0.41 fof(f1347,plain,(
% 0.15/0.41 vd390=vd391|vd391=vplus(vd390,sK3_skl(vd391,vd390))),
% 0.15/0.41 inference(resolution,[status(thm)],[f435,f48])).
% 0.15/0.41 fof(f1508,plain,(
% 0.15/0.41 ~leq(vd391,vd391)|vd390=vd391),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f1347,f292])).
% 0.15/0.41 fof(f1545,plain,(
% 0.15/0.41 vd390=vd391),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1508,f148])).
% 0.15/0.41 fof(f1557,plain,(
% 0.15/0.41 ~leq(vd390,vd390)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f1545,f49])).
% 0.15/0.41 fof(f1559,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1557,f148])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.071623 seconds
% 0.15/0.44 % CPU time: 0.311154 seconds
% 0.15/0.44 % Total memory used: 69.117 MB
% 0.15/0.44 % Net memory used: 68.519 MB
%------------------------------------------------------------------------------