%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM846+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 : n008.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 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM846+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
% 0.09/0.35 % Computer : n008.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 03:13:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,conjecture,(
% 0.09/0.39 vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,negated_conjecture,(
% 0.09/0.39 ~(vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) )),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,axiom,(
% 0.09/0.39 vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f15,axiom,(
% 0.09/0.39 (! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 ~vplus(vmul(vd436,vplus(vd437,vd439)),vd436)=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f24,plain,(
% 0.09/0.39 vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 vmul(vd436,vplus(vd437,vsucc(vd439)))=vmul(vd436,vsucc(vplus(vd437,vd439)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 vmul(vd436,vplus(vd437,vd439))=vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 ![X0,X1]: (vplus(X0,X1)=vplus(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.39 fof(f52,plain,(
% 0.09/0.39 ~vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f24,f23])).
% 0.09/0.39 fof(f57,plain,(
% 0.09/0.39 vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vd436,vmul(vd436,vplus(vd437,vd439)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f24,f40])).
% 0.09/0.39 fof(f63,plain,(
% 0.09/0.39 ~vmul(vd436,vsucc(vplus(vd437,vd439)))=vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f40,f52])).
% 0.09/0.39 fof(f118,plain,(
% 0.09/0.39 ~vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f25,f63])).
% 0.09/0.39 fof(f119,plain,(
% 0.09/0.39 ~vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vd436,vmul(vd436,vplus(vd437,vd439)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f26,f118])).
% 0.09/0.39 fof(f125,plain,(
% 0.09/0.39 vmul(vd436,vplus(vd437,vsucc(vd439)))=vplus(vd436,vmul(vd436,vplus(vd437,vd439)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f25,f57])).
% 0.09/0.39 fof(f126,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f125,f119])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.054598 seconds
% 0.13/0.41 % CPU time: 0.144507 seconds
% 0.13/0.41 % Total memory used: 101.830 MB
% 0.13/0.41 % Net memory used: 101.578 MB
%------------------------------------------------------------------------------