%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM851+2 : 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 : n012.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 0.04s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM851+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 03:13:07 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.04/0.32 % Refutation found
% 0.04/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.04/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.32 fof(f1,conjecture,(
% 0.04/0.32 vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)) ),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f2,negated_conjecture,(
% 0.04/0.32 ~(vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)) )),
% 0.04/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.04/0.32 fof(f4,axiom,(
% 0.04/0.32 vd470 = vplus(vd471,vd473) ),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f7,axiom,(
% 0.04/0.32 (! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f8,axiom,(
% 0.04/0.32 (! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f29,plain,(
% 0.04/0.32 ~vmul(vplus(vd471,vd473),vd469)=vplus(vmul(vd471,vd469),vmul(vd473,vd469))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/0.32 fof(f31,plain,(
% 0.04/0.32 vd470=vplus(vd471,vd473)),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f4])).
% 0.04/0.32 fof(f34,plain,(
% 0.04/0.32 ![X0,X1,X2]: (vmul(X0,vplus(X1,X2))=vplus(vmul(X0,X1),vmul(X0,X2)))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f7])).
% 0.04/0.32 fof(f35,plain,(
% 0.04/0.32 ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f8])).
% 0.04/0.32 fof(f81,plain,(
% 0.04/0.32 ~vmul(vplus(vd471,vd473),vd469)=vplus(vmul(vd471,vd469),vmul(vd469,vd473))),
% 0.04/0.32 inference(paramodulation,[status(thm)],[f35,f29])).
% 0.04/0.32 fof(f172,plain,(
% 0.04/0.32 ~vmul(vd470,vd469)=vplus(vmul(vd471,vd469),vmul(vd469,vd473))),
% 0.04/0.32 inference(backward_demodulation,[status(thm)],[f31,f81])).
% 0.04/0.32 fof(f236,plain,(
% 0.04/0.32 ~vmul(vd470,vd469)=vplus(vmul(vd469,vd471),vmul(vd469,vd473))),
% 0.04/0.32 inference(paramodulation,[status(thm)],[f35,f172])).
% 0.04/0.32 fof(f238,plain,(
% 0.04/0.32 ~vmul(vd470,vd469)=vmul(vd469,vplus(vd471,vd473))),
% 0.04/0.32 inference(forward_demodulation,[status(thm)],[f34,f236])).
% 0.04/0.32 fof(f239,plain,(
% 0.04/0.32 ~vmul(vd470,vd469)=vmul(vd469,vd470)),
% 0.04/0.32 inference(forward_demodulation,[status(thm)],[f31,f238])).
% 0.04/0.32 fof(f240,plain,(
% 0.04/0.32 $false),
% 0.04/0.32 inference(forward_subsumption_resolution,[status(thm)],[f239,f35])).
% 0.04/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.34 % Elapsed time: 0.035363 seconds
% 0.07/0.34 % CPU time: 0.095486 seconds
% 0.07/0.34 % Total memory used: 102.229 MB
% 0.07/0.34 % Net memory used: 102.014 MB
%------------------------------------------------------------------------------