%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM847+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 : n014.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 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM847+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n014.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 03:13:04 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,conjecture,(
% 0.13/0.38 vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 ~(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,axiom,(
% 0.13/0.38 (! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ~vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)=vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 vplus(vmul(vd436,vplus(vd437,vd439)),vd436)=vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 ![X0,X1,X2]: (vplus(vplus(X0,X1),X2)=vplus(X0,vplus(X1,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 ~vplus(vmul(vd436,vplus(vd437,vd439)),vd436)=vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f22,f21])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 vplus(vmul(vd436,vplus(vd437,vd439)),vd436)=vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f40,f22])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f58,f47])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.045420 seconds
% 0.13/0.40 % CPU time: 0.134330 seconds
% 0.13/0.40 % Total memory used: 73.043 MB
% 0.13/0.40 % Net memory used: 72.814 MB
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