%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM852+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 : n011.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 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM852+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
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 03:13:26 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.42 fof(f1,conjecture,(
% 0.11/0.42 greater(vmul(vd481,vd469),vmul(vd480,vd469)) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f2,negated_conjecture,(
% 0.11/0.42 ~(greater(vmul(vd481,vd469),vmul(vd480,vd469)) )),
% 0.11/0.42 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.42 fof(f3,axiom,(
% 0.11/0.42 greater(vd481,vd480) ),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f8,axiom,(
% 0.11/0.42 (! [Vd470,Vd471] :( greater(Vd470,Vd471)=> vmul(Vd470,vd469) = vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469) ) )),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f11,axiom,(
% 0.11/0.42 (! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)) )),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f12,axiom,(
% 0.11/0.42 (! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) )),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f28,axiom,(
% 0.11/0.42 (! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295) )),
% 0.11/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.42 fof(f60,plain,(
% 0.11/0.42 ~greater(vmul(vd481,vd469),vmul(vd480,vd469))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.42 fof(f61,plain,(
% 0.11/0.42 greater(vd481,vd480)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.42 fof(f69,plain,(
% 0.11/0.42 ![Vd470,Vd471]: (~greater(Vd470,Vd471)|vmul(Vd470,vd469)=vmul(vplus(Vd471,vskolem9(Vd470,Vd471)),vd469))),
% 0.11/0.42 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.11/0.42 fof(f70,plain,(
% 0.11/0.42 ![X0,X1]: (~greater(X0,X1)|vmul(X0,vd469)=vmul(vplus(X1,vskolem9(X0,X1)),vd469))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f69])).
% 0.11/0.42 fof(f74,plain,(
% 0.11/0.42 ![X0,X1,X2]: (vmul(X0,vplus(X1,X2))=vplus(vmul(X0,X1),vmul(X0,X2)))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.42 fof(f75,plain,(
% 0.11/0.42 ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.42 fof(f111,plain,(
% 0.11/0.42 ![X0,X1]: (greater(vplus(X0,X1),X0))),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.42 fof(f199,plain,(
% 0.11/0.42 vmul(vd481,vd469)=vmul(vplus(vd480,vskolem9(vd481,vd480)),vd469)),
% 0.11/0.42 inference(resolution,[status(thm)],[f70,f61])).
% 0.11/0.42 fof(f202,plain,(
% 0.11/0.42 ![X0,X1,X2]: (greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f74,f111])).
% 0.11/0.42 fof(f205,plain,(
% 0.11/0.42 ~greater(vmul(vd481,vd469),vmul(vd469,vd480))),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f75,f60])).
% 0.11/0.42 fof(f380,plain,(
% 0.11/0.42 vmul(vd481,vd469)=vmul(vd469,vplus(vd480,vskolem9(vd481,vd480)))),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f75,f199])).
% 0.11/0.42 fof(f381,plain,(
% 0.11/0.42 greater(vmul(vd481,vd469),vmul(vd469,vd480))),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f380,f202])).
% 0.11/0.42 fof(f388,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f381,f205])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.45 % Elapsed time: 0.072434 seconds
% 0.11/0.45 % CPU time: 0.272669 seconds
% 0.11/0.45 % Total memory used: 105.993 MB
% 0.11/0.45 % Net memory used: 105.753 MB
%------------------------------------------------------------------------------