%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM847+1 : 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 : n003.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 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM847+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:14:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,conjecture,(
% 0.15/0.39 vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,negated_conjecture,(
% 0.15/0.39 ~(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) )),
% 0.15/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.39 fof(f3,axiom,(
% 0.15/0.39 vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,axiom,(
% 0.15/0.39 vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f5,axiom,(
% 0.15/0.39 vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f13,axiom,(
% 0.15/0.39 (! [Vd396,Vd397] :( vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396)& vmul(Vd396,v1) = Vd396 ) )),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f51,axiom,(
% 0.15/0.39 (! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) )),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f58,plain,(
% 0.15/0.39 ~vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)=vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.39 fof(f59,plain,(
% 0.15/0.39 vplus(vmul(vd436,vplus(vd437,vd439)),vd436)=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.39 fof(f60,plain,(
% 0.15/0.39 vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.39 fof(f61,plain,(
% 0.15/0.39 vmul(vd436,vplus(vd437,vsucc(vd439)))=vmul(vd436,vsucc(vplus(vd437,vd439)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.39 fof(f69,plain,(
% 0.15/0.39 (![Vd396,Vd397]: vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396))&(![Vd396]: vmul(Vd396,v1)=Vd396)),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f13])).
% 0.15/0.39 fof(f70,plain,(
% 0.15/0.39 ![X0,X1]: (vmul(X0,vsucc(X1))=vplus(vmul(X0,X1),X0))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f69])).
% 0.15/0.39 fof(f159,plain,(
% 0.15/0.39 ![X0,X1,X2]: (vplus(vplus(X0,X1),X2)=vplus(X0,vplus(X1,X2)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f51])).
% 0.15/0.39 fof(f171,plain,(
% 0.15/0.39 ~vplus(vmul(vd436,vplus(vd437,vd439)),vd436)=vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f59,f58])).
% 0.15/0.39 fof(f172,plain,(
% 0.15/0.39 vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f60,f59])).
% 0.15/0.39 fof(f191,plain,(
% 0.15/0.39 ~vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f60,f171])).
% 0.15/0.39 fof(f192,plain,(
% 0.15/0.39 ~vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f61,f191])).
% 0.15/0.39 fof(f193,plain,(
% 0.15/0.39 ~vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439)))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f70,f192])).
% 0.15/0.39 fof(f194,plain,(
% 0.15/0.39 vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f61,f172])).
% 0.15/0.39 fof(f195,plain,(
% 0.15/0.39 vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f159,f194])).
% 0.15/0.39 fof(f196,plain,(
% 0.15/0.39 vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439)))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f70,f195])).
% 0.15/0.39 fof(f197,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f196,f193])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.052787 seconds
% 0.15/0.42 % CPU time: 0.144951 seconds
% 0.15/0.42 % Total memory used: 103.418 MB
% 0.15/0.42 % Net memory used: 103.369 MB
%------------------------------------------------------------------------------