%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM857+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 : n015.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 01:43:58 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM857+2 : 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 : n015.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 03:16:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.45 % Refutation found
% 0.11/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.45 fof(f1,conjecture,(
% 0.11/0.45 geq(vmul(vd526,vd529),vmul(vd527,vd530)) ),
% 0.11/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.45 fof(f2,negated_conjecture,(
% 0.11/0.45 ~(geq(vmul(vd526,vd529),vmul(vd527,vd530)) )),
% 0.11/0.45 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.45 fof(f3,axiom,(
% 0.11/0.45 geq(vd529,vd530) ),
% 0.11/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.45 fof(f4,axiom,(
% 0.11/0.45 geq(vd526,vd527) ),
% 0.11/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.45 fof(f5,axiom,(
% 0.11/0.45 (! [Vd517,Vd518,Vd519,Vd520] :( ( ( greater(Vd519,Vd520)& geq(Vd517,Vd518) )| ( geq(Vd519,Vd520)& greater(Vd517,Vd518) ) )=> greater(vmul(Vd517,Vd519),vmul(Vd518,Vd520)) ) )),
% 0.11/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.45 fof(f15,axiom,(
% 0.11/0.45 (! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) )),
% 0.11/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.45 fof(f38,axiom,(
% 0.11/0.45 (! [Vd244,Vd245] :( geq(Vd245,Vd244)<=> ( greater(Vd245,Vd244)| Vd245 = Vd244 ) ) )),
% 0.11/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.45 fof(f63,plain,(
% 0.11/0.45 ~geq(vmul(vd526,vd529),vmul(vd527,vd530))),
% 0.11/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.45 fof(f64,plain,(
% 0.11/0.45 geq(vd529,vd530)),
% 0.11/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.45 fof(f65,plain,(
% 0.11/0.45 geq(vd526,vd527)),
% 0.11/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.45 fof(f66,plain,(
% 0.11/0.45 ![Vd517,Vd518,Vd519,Vd520]: (((~greater(Vd519,Vd520)|~geq(Vd517,Vd518))&(~geq(Vd519,Vd520)|~greater(Vd517,Vd518)))|greater(vmul(Vd517,Vd519),vmul(Vd518,Vd520)))),
% 0.11/0.45 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.11/0.45 fof(f67,plain,(
% 0.11/0.45 ![X0,X1,X2,X3]: (~greater(X0,X1)|~geq(X2,X3)|greater(vmul(X2,X0),vmul(X3,X1)))),
% 0.11/0.45 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/0.45 fof(f91,plain,(
% 0.11/0.45 ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
% 0.11/0.45 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.45 fof(f147,plain,(
% 0.11/0.45 ![Vd244,Vd245]: ((~geq(Vd245,Vd244)|(greater(Vd245,Vd244)|Vd245=Vd244))&(geq(Vd245,Vd244)|(~greater(Vd245,Vd244)&~Vd245=Vd244)))),
% 0.11/0.45 inference(NNF_transformation,[status(thm)],[f38])).
% 0.11/0.45 fof(f148,plain,(
% 0.11/0.45 (![Vd244,Vd245]: (~geq(Vd245,Vd244)|(greater(Vd245,Vd244)|Vd245=Vd244)))&(![Vd244,Vd245]: (geq(Vd245,Vd244)|(~greater(Vd245,Vd244)&~Vd245=Vd244)))),
% 0.11/0.45 inference(miniscoping,[status(thm)],[f147])).
% 0.11/0.45 fof(f149,plain,(
% 0.11/0.45 ![X0,X1]: (~geq(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.11/0.45 inference(cnf_transformation,[status(thm)],[f148])).
% 0.11/0.45 fof(f150,plain,(
% 0.11/0.45 ![X0,X1]: (geq(X0,X1)|~greater(X0,X1))),
% 0.11/0.45 inference(cnf_transformation,[status(thm)],[f148])).
% 0.11/0.45 fof(f151,plain,(
% 0.11/0.45 ![X0,X1]: (geq(X0,X1)|~X0=X1)),
% 0.11/0.45 inference(cnf_transformation,[status(thm)],[f148])).
% 0.11/0.45 fof(f197,plain,(
% 0.11/0.45 ![X0]: (geq(X0,X0))),
% 0.11/0.45 inference(destructive_equality_resolution,[status(thm)],[f151])).
% 0.11/0.45 fof(f212,plain,(
% 0.11/0.45 ~geq(vmul(vd526,vd529),vmul(vd530,vd527))),
% 0.11/0.45 inference(paramodulation,[status(thm)],[f91,f63])).
% 0.11/0.45 fof(f213,plain,(
% 0.11/0.45 ~geq(vmul(vd529,vd526),vmul(vd527,vd530))),
% 0.11/0.45 inference(paramodulation,[status(thm)],[f91,f63])).
% 0.11/0.45 fof(f220,plain,(
% 0.11/0.45 ~greater(vmul(vd526,vd529),vmul(vd527,vd530))),
% 0.11/0.45 inference(resolution,[status(thm)],[f150,f63])).
% 0.11/0.45 fof(f228,plain,(
% 0.11/0.45 greater(vd526,vd527)|vd526=vd527),
% 0.11/0.45 inference(resolution,[status(thm)],[f149,f65])).
% 0.11/0.45 fof(f229,plain,(
% 0.11/0.45 greater(vd529,vd530)|vd529=vd530),
% 0.11/0.45 inference(resolution,[status(thm)],[f149,f64])).
% 0.11/0.45 fof(f340,plain,(
% 0.11/0.45 ~geq(vmul(vd529,vd526),vmul(vd530,vd527))),
% 0.11/0.45 inference(paramodulation,[status(thm)],[f91,f212])).
% 0.11/0.45 fof(f342,plain,(
% 0.11/0.45 ~greater(vmul(vd529,vd526),vmul(vd527,vd530))),
% 0.11/0.45 inference(resolution,[status(thm)],[f213,f150])).
% 0.11/0.45 fof(f345,plain,(
% 0.11/0.45 ~greater(vd529,vd530)|~geq(vd526,vd527)),
% 0.11/0.45 inference(resolution,[status(thm)],[f220,f67])).
% 0.11/0.45 fof(f350,plain,(
% 0.11/0.45 vd529=vd530),
% 0.11/0.45 inference(backward_subsumption_resolution,[status(thm)],[f229,f351])).
% 0.11/0.45 fof(f351,plain,(
% 0.11/0.45 ~greater(vd529,vd530)),
% 0.11/0.45 inference(forward_subsumption_resolution,[status(thm)],[f345,f65])).
% 0.11/0.45 fof(f358,plain,(
% 0.11/0.45 ~greater(vmul(vd530,vd526),vmul(vd527,vd530))),
% 0.11/0.45 inference(backward_demodulation,[status(thm)],[f350,f342])).
% 0.11/0.45 fof(f359,plain,(
% 0.11/0.45 ~geq(vmul(vd530,vd526),vmul(vd530,vd527))),
% 0.11/0.46 inference(backward_demodulation,[status(thm)],[f350,f340])).
% 0.11/0.46 fof(f568,plain,(
% 0.11/0.46 ~greater(vmul(vd530,vd526),vmul(vd530,vd527))),
% 0.11/0.46 inference(paramodulation,[status(thm)],[f91,f358])).
% 0.11/0.46 fof(f782,plain,(
% 0.11/0.46 ~greater(vd526,vd527)|~geq(vd530,vd530)),
% 0.11/0.46 inference(resolution,[status(thm)],[f568,f67])).
% 0.11/0.46 fof(f783,plain,(
% 0.11/0.46 vd526=vd527),
% 0.11/0.46 inference(backward_subsumption_resolution,[status(thm)],[f228,f784])).
% 0.11/0.46 fof(f784,plain,(
% 0.11/0.46 ~greater(vd526,vd527)),
% 0.11/0.46 inference(forward_subsumption_resolution,[status(thm)],[f782,f197])).
% 0.11/0.46 fof(f789,plain,(
% 0.11/0.46 ~geq(vmul(vd530,vd527),vmul(vd530,vd527))),
% 0.11/0.46 inference(backward_demodulation,[status(thm)],[f783,f359])).
% 0.11/0.46 fof(f805,plain,(
% 0.11/0.46 $false),
% 0.11/0.46 inference(forward_subsumption_resolution,[status(thm)],[f789,f197])).
% 0.11/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.47 % Elapsed time: 0.096569 seconds
% 0.11/0.47 % CPU time: 0.468486 seconds
% 0.11/0.47 % Total memory used: 109.316 MB
% 0.11/0.47 % Net memory used: 108.670 MB
%------------------------------------------------------------------------------