%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM849+1 : 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 : 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 01:43:56 PM UTC 2026
% Result : Theorem 0.16s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM849+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n010.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Mon Sep 21 03:13:40 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.16/0.56 % Refutation found
% 0.16/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.56 fof(f1,conjecture,(
% 0.16/0.56 (! [Vd454] :( vmul(vmul(vd448,vd449),Vd454) = vmul(vd448,vmul(vd449,Vd454))=> vmul(vmul(vd448,vd449),vsucc(Vd454)) = vmul(vd448,vmul(vd449,vsucc(Vd454))) ) )),
% 0.16/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f2,negated_conjecture,(
% 0.16/0.56 ~((! [Vd454] :( vmul(vmul(vd448,vd449),Vd454) = vmul(vd448,vmul(vd449,Vd454))=> vmul(vmul(vd448,vd449),vsucc(Vd454)) = vmul(vd448,vmul(vd449,vsucc(Vd454))) ) ))),
% 0.16/0.56 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/0.56 fof(f9,axiom,(
% 0.16/0.56 (! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)) )),
% 0.16/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f13,axiom,(
% 0.16/0.56 (! [Vd396,Vd397] :( vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396)& vmul(Vd396,v1) = Vd396 ) )),
% 0.16/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.56 fof(f58,plain,(
% 0.16/0.56 (?[Vd454]: (vmul(vmul(vd448,vd449),Vd454)=vmul(vd448,vmul(vd449,Vd454))&~vmul(vmul(vd448,vd449),vsucc(Vd454))=vmul(vd448,vmul(vd449,vsucc(Vd454)))))),
% 0.16/0.56 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/0.56 fof(f59,plain,(
% 0.16/0.56 (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))))),
% 0.16/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd454,sK0_skl)],[f58])).
% 0.16/0.56 fof(f60,plain,(
% 0.16/0.56 vmul(vmul(vd448,vd449),sK0_skl)=vmul(vd448,vmul(vd449,sK0_skl))),
% 0.16/0.56 inference(cnf_transformation,[status(thm)],[f59])).
% 0.16/0.56 fof(f61,plain,(
% 0.16/0.56 ~vmul(vmul(vd448,vd449),vsucc(sK0_skl))=vmul(vd448,vmul(vd449,vsucc(sK0_skl)))),
% 0.16/0.56 inference(cnf_transformation,[status(thm)],[f59])).
% 0.16/0.56 fof(f72,plain,(
% 0.16/0.56 ![X0,X1,X2]: (vmul(X0,vplus(X1,X2))=vplus(vmul(X0,X1),vmul(X0,X2)))),
% 0.16/0.56 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.56 fof(f76,plain,(
% 0.16/0.56 (![Vd396,Vd397]: vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396))&(![Vd396]: vmul(Vd396,v1)=Vd396)),
% 0.16/0.56 inference(miniscoping,[status(thm)],[f13])).
% 0.16/0.56 fof(f77,plain,(
% 0.16/0.56 ![X0,X1]: (vmul(X0,vsucc(X1))=vplus(vmul(X0,X1),X0))),
% 0.16/0.56 inference(cnf_transformation,[status(thm)],[f76])).
% 0.16/0.56 fof(f263,plain,(
% 0.16/0.56 vmul(vmul(vd448,vd449),vsucc(sK0_skl))=vplus(vmul(vd448,vmul(vd449,sK0_skl)),vmul(vd448,vd449))),
% 0.16/0.56 inference(paramodulation,[status(thm)],[f60,f77])).
% 0.16/0.56 fof(f270,plain,(
% 0.16/0.56 vmul(vmul(vd448,vd449),vsucc(sK0_skl))=vmul(vd448,vplus(vmul(vd449,sK0_skl),vd449))),
% 0.16/0.56 inference(forward_demodulation,[status(thm)],[f72,f263])).
% 0.16/0.56 fof(f271,plain,(
% 0.16/0.56 vmul(vmul(vd448,vd449),vsucc(sK0_skl))=vmul(vd448,vmul(vd449,vsucc(sK0_skl)))),
% 0.16/0.56 inference(forward_demodulation,[status(thm)],[f77,f270])).
% 0.16/0.56 fof(f272,plain,(
% 0.16/0.56 $false),
% 0.16/0.56 inference(forward_subsumption_resolution,[status(thm)],[f271,f61])).
% 0.16/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.60 % Elapsed time: 0.064948 seconds
% 0.16/0.60 % CPU time: 0.169127 seconds
% 0.16/0.60 % Total memory used: 103.683 MB
% 0.16/0.60 % Net memory used: 103.621 MB
%------------------------------------------------------------------------------