%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM849+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 : n001.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 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM849+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 : n001.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:18:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % 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 (! [Vd454] :( vmul(vmul(vd448,vd449),Vd454) = vmul(vd448,vmul(vd449,Vd454))=> vmul(vmul(vd448,vd449),vsucc(Vd454)) = vmul(vd448,vmul(vd449,vsucc(Vd454))) ) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f2,negated_conjecture,(
% 0.10/0.37 ~((! [Vd454] :( vmul(vmul(vd448,vd449),Vd454) = vmul(vd448,vmul(vd449,Vd454))=> vmul(vmul(vd448,vd449),vsucc(Vd454)) = vmul(vd448,vmul(vd449,vsucc(Vd454))) ) ))),
% 0.10/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.37 fof(f8,axiom,(
% 0.10/0.37 (! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f9,axiom,(
% 0.10/0.37 (! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f10,axiom,(
% 0.10/0.37 (! [Vd408,Vd409] : vmul(vsucc(Vd408),Vd409) = vplus(vmul(Vd408,Vd409),Vd409) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f11,axiom,(
% 0.10/0.37 (! [Vd396,Vd397] :( vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396)& vmul(Vd396,v1) = Vd396 ) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f12,axiom,(
% 0.10/0.37 (! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f14,plain,(
% 0.10/0.37 (?[Vd454]: (vmul(vmul(vd448,vd449),Vd454)=vmul(vd448,vmul(vd449,Vd454))&~vmul(vmul(vd448,vd449),vsucc(Vd454))=vmul(vd448,vmul(vd449,vsucc(Vd454)))))),
% 0.10/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.37 fof(f15,plain,(
% 0.10/0.37 (vmul(vmul(vd448,vd449),sK0_skl)=vmul(vd448,vmul(vd449,sK0_skl))&~vmul(vmul(vd448,vd449),vsucc(sK0_skl))=vmul(vd448,vmul(vd449,vsucc(sK0_skl))))),
% 0.10/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd454,sK0_skl)],[f14])).
% 0.10/0.37 fof(f16,plain,(
% 0.10/0.37 vmul(vmul(vd448,vd449),sK0_skl)=vmul(vd448,vmul(vd449,sK0_skl))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.37 fof(f17,plain,(
% 0.10/0.37 ~vmul(vmul(vd448,vd449),vsucc(sK0_skl))=vmul(vd448,vmul(vd449,vsucc(sK0_skl)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.37 fof(f27,plain,(
% 0.10/0.37 ![X0,X1,X2]: (vmul(X0,vplus(X1,X2))=vplus(vmul(X0,X1),vmul(X0,X2)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.37 fof(f28,plain,(
% 0.10/0.37 ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.37 fof(f29,plain,(
% 0.10/0.37 ![X0,X1]: (vmul(vsucc(X0),X1)=vplus(vmul(X0,X1),X1))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.37 fof(f30,plain,(
% 0.10/0.37 (![Vd396,Vd397]: vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396))&(![Vd396]: vmul(Vd396,v1)=Vd396)),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f11])).
% 0.10/0.37 fof(f31,plain,(
% 0.10/0.37 ![X0,X1]: (vmul(X0,vsucc(X1))=vplus(vmul(X0,X1),X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.37 fof(f33,plain,(
% 0.10/0.37 ![X0,X1]: (vplus(X0,X1)=vplus(X1,X0))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.37 fof(f39,plain,(
% 0.10/0.37 ~vmul(vsucc(sK0_skl),vmul(vd448,vd449))=vmul(vd448,vmul(vd449,vsucc(sK0_skl)))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f28,f17])).
% 0.10/0.37 fof(f40,plain,(
% 0.10/0.37 vmul(sK0_skl,vmul(vd448,vd449))=vmul(vd448,vmul(vd449,sK0_skl))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f28,f16])).
% 0.10/0.37 fof(f44,plain,(
% 0.10/0.37 ![X0,X1]: (vmul(X0,vsucc(X1))=vplus(X0,vmul(X0,X1)))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f33,f31])).
% 0.10/0.37 fof(f45,plain,(
% 0.10/0.37 ![X0,X1]: (vmul(vsucc(X0),X1)=vplus(X1,vmul(X0,X1)))),
% 0.10/0.37 inference(backward_demodulation,[status(thm)],[f33,f29])).
% 0.10/0.37 fof(f59,plain,(
% 0.10/0.37 vmul(vsucc(sK0_skl),vmul(vd448,vd449))=vplus(vmul(vd448,vd449),vmul(vd448,vmul(vd449,sK0_skl)))),
% 0.10/0.37 inference(paramodulation,[status(thm)],[f40,f45])).
% 0.10/0.37 fof(f64,plain,(
% 0.10/0.37 vmul(vsucc(sK0_skl),vmul(vd448,vd449))=vmul(vd448,vplus(vd449,vmul(vd449,sK0_skl)))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f27,f59])).
% 0.10/0.37 fof(f65,plain,(
% 0.10/0.37 vmul(vsucc(sK0_skl),vmul(vd448,vd449))=vmul(vd448,vmul(vd449,vsucc(sK0_skl)))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f44,f64])).
% 0.10/0.37 fof(f66,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(forward_subsumption_resolution,[status(thm)],[f65,f39])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.041710 seconds
% 0.13/0.41 % CPU time: 0.070365 seconds
% 0.13/0.41 % Total memory used: 6.604 MB
% 0.13/0.41 % Net memory used: 6.596 MB
%------------------------------------------------------------------------------