%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM846+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 : 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 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM846+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 : n001.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:18:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,conjecture,(
% 0.13/0.40 vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,negated_conjecture,(
% 0.13/0.40 ~(vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) )),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,axiom,(
% 0.13/0.40 vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,axiom,(
% 0.13/0.40 (! [Vd396,Vd397] :( vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396)& vmul(Vd396,v1) = Vd396 ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 ~vplus(vmul(vd436,vplus(vd437,vd439)),vd436)=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 vmul(vd436,vplus(vd437,vsucc(vd439)))=vmul(vd436,vsucc(vplus(vd437,vd439)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 vmul(vd436,vplus(vd437,vd439))=vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 (![Vd396,Vd397]: vmul(Vd396,vsucc(Vd397))=vplus(vmul(Vd396,Vd397),Vd396))&(![Vd396]: vmul(Vd396,v1)=Vd396)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f12])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 ![X0,X1]: (vmul(X0,vsucc(X1))=vplus(vmul(X0,X1),X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f67])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 ~vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f58,f57])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 ~vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f59,f178])).
% 0.13/0.40 fof(f222,plain,(
% 0.13/0.40 ~vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f60,f180])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 ~vmul(vd436,vplus(vd437,vsucc(vd439)))=vmul(vd436,vsucc(vplus(vd437,vd439)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f68,f222])).
% 0.13/0.40 fof(f224,plain,(
% 0.13/0.40 ~vmul(vd436,vplus(vd437,vsucc(vd439)))=vmul(vd436,vplus(vd437,vsucc(vd439)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f59,f223])).
% 0.13/0.40 fof(f225,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f224])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.058463 seconds
% 0.13/0.42 % CPU time: 0.161661 seconds
% 0.13/0.42 % Total memory used: 103.273 MB
% 0.13/0.42 % Net memory used: 103.234 MB
%------------------------------------------------------------------------------