%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM851+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 : n026.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 01:43:57 PM UTC 2026
% Result : Theorem 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM851+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
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:16:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,conjecture,(
% 0.11/0.41 vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f2,negated_conjecture,(
% 0.11/0.41 ~(vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)) )),
% 0.11/0.41 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.41 fof(f3,axiom,(
% 0.11/0.41 vmul(vd470,vd469) = vmul(vplus(vd471,vd473),vd469) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f4,axiom,(
% 0.11/0.41 vd470 = vplus(vd471,vd473) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f7,axiom,(
% 0.11/0.41 (! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f8,axiom,(
% 0.11/0.41 (! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f56,plain,(
% 0.11/0.41 ~vmul(vplus(vd471,vd473),vd469)=vplus(vmul(vd471,vd469),vmul(vd473,vd469))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.41 fof(f57,plain,(
% 0.11/0.41 vmul(vd470,vd469)=vmul(vplus(vd471,vd473),vd469)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.41 fof(f58,plain,(
% 0.11/0.41 vd470=vplus(vd471,vd473)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.41 fof(f61,plain,(
% 0.11/0.41 ![X0,X1,X2]: (vmul(X0,vplus(X1,X2))=vplus(vmul(X0,X1),vmul(X0,X2)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.41 fof(f62,plain,(
% 0.11/0.41 ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.41 fof(f167,plain,(
% 0.11/0.41 ~vmul(vd470,vd469)=vplus(vmul(vd471,vd469),vmul(vd473,vd469))),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f57,f56])).
% 0.11/0.41 fof(f185,plain,(
% 0.11/0.41 ~vmul(vd470,vd469)=vplus(vmul(vd471,vd469),vmul(vd469,vd473))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f62,f167])).
% 0.11/0.41 fof(f189,plain,(
% 0.11/0.41 ~vmul(vd470,vd469)=vplus(vmul(vd469,vd471),vmul(vd469,vd473))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f62,f185])).
% 0.11/0.41 fof(f191,plain,(
% 0.11/0.41 ~vmul(vd470,vd469)=vmul(vd469,vplus(vd471,vd473))),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f61,f189])).
% 0.11/0.41 fof(f192,plain,(
% 0.11/0.41 ~vmul(vd470,vd469)=vmul(vd469,vd470)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f58,f191])).
% 0.11/0.41 fof(f193,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f192,f62])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.056076 seconds
% 0.11/0.44 % CPU time: 0.156661 seconds
% 0.11/0.44 % Total memory used: 103.367 MB
% 0.11/0.44 % Net memory used: 103.323 MB
%------------------------------------------------------------------------------