%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM855+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 9.64s 1.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM855+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 03:13:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 9.64/1.66 % Refutation found
% 9.64/1.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.64/1.66 % SZS output start CNFRefutation for theBenchmark
% 9.64/1.66 fof(f1,conjecture,(
% 9.64/1.66 greater(vmul(vd508,vd511),vmul(vd509,vd512)) ),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f2,negated_conjecture,(
% 9.64/1.66 ~(greater(vmul(vd508,vd511),vmul(vd509,vd512)) )),
% 9.64/1.66 inference(negated_conjecture,[status(cth)],[f1])).
% 9.64/1.66 fof(f4,axiom,(
% 9.64/1.66 greater(vmul(vd511,vd509),vmul(vd512,vd509)) ),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f6,axiom,(
% 9.64/1.66 greater(vmul(vd508,vd511),vmul(vd509,vd511)) ),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f8,axiom,(
% 9.64/1.66 greater(vd508,vd509) ),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f14,axiom,(
% 9.64/1.66 (! [Vd456,Vd457,Vd458] :( greater(Vd457,Vd458)=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f16,axiom,(
% 9.64/1.66 (! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f17,axiom,(
% 9.64/1.66 (! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f26,axiom,(
% 9.64/1.66 (! [Vd337,Vd338,Vd340,Vd341] :( ( greater(Vd340,Vd341)& greater(Vd337,Vd338) )=> greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f41,axiom,(
% 9.64/1.66 (! [Vd226,Vd227] :( less(Vd226,Vd227)=> greater(Vd227,Vd226) ) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f42,axiom,(
% 9.64/1.66 (! [Vd208,Vd209] :( greater(Vd208,Vd209)=> less(Vd209,Vd208) ) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f43,axiom,(
% 9.64/1.66 (! [Vd203,Vd204] :( Vd203 = Vd204| greater(Vd203,Vd204)| less(Vd203,Vd204) ) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f45,axiom,(
% 9.64/1.66 (! [Vd203,Vd204] :( ~ greater(Vd203,Vd204)| ~ less(Vd203,Vd204) ) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f46,axiom,(
% 9.64/1.66 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ greater(Vd203,Vd204) ) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f55,axiom,(
% 9.64/1.66 (! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f58,axiom,(
% 9.64/1.66 (! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) )),
% 9.64/1.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.64/1.66 fof(f65,plain,(
% 9.64/1.66 ~greater(vmul(vd508,vd511),vmul(vd509,vd512))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f2])).
% 9.64/1.66 fof(f67,plain,(
% 9.64/1.66 greater(vmul(vd511,vd509),vmul(vd512,vd509))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f4])).
% 9.64/1.66 fof(f69,plain,(
% 9.64/1.66 greater(vmul(vd508,vd511),vmul(vd509,vd511))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f6])).
% 9.64/1.66 fof(f71,plain,(
% 9.64/1.66 greater(vd508,vd509)),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f8])).
% 9.64/1.66 fof(f87,plain,(
% 9.64/1.66 ![Vd456,Vd457,Vd458]: (~greater(Vd457,Vd458)|greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)))),
% 9.64/1.66 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 9.64/1.66 fof(f88,plain,(
% 9.64/1.66 ![Vd457,Vd458]: (~greater(Vd457,Vd458)|(![Vd456]: greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))))),
% 9.64/1.66 inference(miniscoping,[status(thm)],[f87])).
% 9.64/1.66 fof(f89,plain,(
% 9.64/1.66 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X0,X2),vmul(X1,X2)))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f88])).
% 9.64/1.66 fof(f91,plain,(
% 9.64/1.66 ![X0,X1,X2]: (vmul(X0,vplus(X1,X2))=vplus(vmul(X0,X1),vmul(X0,X2)))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f16])).
% 9.64/1.66 fof(f92,plain,(
% 9.64/1.66 ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f17])).
% 9.64/1.66 fof(f108,plain,(
% 9.64/1.66 ![Vd337,Vd338,Vd340,Vd341]: ((~greater(Vd340,Vd341)|~greater(Vd337,Vd338))|greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)))),
% 9.64/1.66 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 9.64/1.66 fof(f109,plain,(
% 9.64/1.66 ![X0,X1,X2,X3]: (~greater(X0,X1)|~greater(X2,X3)|greater(vplus(X2,X0),vplus(X3,X1)))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f108])).
% 9.64/1.66 fof(f153,plain,(
% 9.64/1.66 ![Vd226,Vd227]: (~less(Vd226,Vd227)|greater(Vd227,Vd226))),
% 9.64/1.66 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 9.64/1.66 fof(f154,plain,(
% 9.64/1.66 ![X0,X1]: (~less(X0,X1)|greater(X1,X0))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f153])).
% 9.64/1.66 fof(f155,plain,(
% 9.64/1.66 ![Vd208,Vd209]: (~greater(Vd208,Vd209)|less(Vd209,Vd208))),
% 9.64/1.66 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 9.64/1.66 fof(f156,plain,(
% 9.64/1.66 ![X0,X1]: (~greater(X0,X1)|less(X1,X0))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f155])).
% 9.64/1.66 fof(f157,plain,(
% 9.64/1.66 ![X0,X1]: (X0=X1|greater(X0,X1)|less(X0,X1))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f43])).
% 9.64/1.66 fof(f159,plain,(
% 9.64/1.66 ![X0,X1]: (~greater(X0,X1)|~less(X0,X1))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f45])).
% 9.64/1.66 fof(f160,plain,(
% 9.64/1.66 ![X0,X1]: (~X0=X1|~greater(X0,X1))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f46])).
% 9.64/1.66 fof(f182,plain,(
% 9.64/1.66 ![X0,X1]: (vplus(X0,X1)=vplus(X1,X0))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f55])).
% 9.64/1.66 fof(f185,plain,(
% 9.64/1.66 ![X0,X1,X2]: (vplus(vplus(X0,X1),X2)=vplus(X0,vplus(X1,X2)))),
% 9.64/1.66 inference(cnf_transformation,[status(thm)],[f58])).
% 9.64/1.66 fof(f200,plain,(
% 9.64/1.66 ![X0]: (~greater(X0,X0))),
% 9.64/1.66 inference(destructive_equality_resolution,[status(thm)],[f160])).
% 9.64/1.66 fof(f229,plain,(
% 9.64/1.66 greater(vmul(vd511,vd509),vmul(vd509,vd512))),
% 9.64/1.66 inference(forward_demodulation,[status(thm)],[f92,f67])).
% 9.64/1.66 fof(f230,plain,(
% 9.64/1.66 greater(vmul(vd508,vd511),vmul(vd511,vd509))),
% 9.64/1.66 inference(forward_demodulation,[status(thm)],[f92,f69])).
% 9.64/1.66 fof(f238,plain,(
% 9.64/1.66 ![X0]: (greater(vmul(vd508,X0),vmul(vd509,X0)))),
% 9.64/1.66 inference(resolution,[status(thm)],[f89,f71])).
% 9.64/1.66 fof(f323,plain,(
% 9.64/1.66 ![X0,X1,X2]: (vmul(X0,vplus(X1,X2))=vplus(vmul(X0,X1),vmul(X2,X0)))),
% 9.64/1.66 inference(paramodulation,[status(thm)],[f92,f91])).
% 9.64/1.66 fof(f351,plain,(
% 9.64/1.66 ![X0,X1]: (~greater(X0,X1)|greater(vplus(X0,vmul(vd508,vd511)),vplus(X1,vmul(vd511,vd509))))),
% 9.64/1.66 inference(resolution,[status(thm)],[f109,f230])).
% 9.64/1.66 fof(f352,plain,(
% 9.64/1.66 ![X0,X1]: (~greater(X0,X1)|greater(vplus(X0,vmul(vd511,vd509)),vplus(X1,vmul(vd509,vd512))))),
% 9.64/1.66 inference(resolution,[status(thm)],[f109,f229])).
% 9.64/1.66 fof(f389,plain,(
% 9.64/1.66 ![X0]: (greater(vmul(vd508,X0),vmul(X0,vd509)))),
% 9.64/1.66 inference(paramodulation,[status(thm)],[f92,f238])).
% 9.64/1.66 fof(f441,plain,(
% 9.64/1.66 less(vmul(vd509,vd512),vmul(vd511,vd509))),
% 9.64/1.66 inference(resolution,[status(thm)],[f156,f229])).
% 9.64/1.66 fof(f1890,plain,(
% 9.64/1.66 ![X0,X1]: (X0=X1|greater(X0,X1)|greater(X1,X0))),
% 9.64/1.66 inference(resolution,[status(thm)],[f157,f154])).
% 9.64/1.66 fof(f4675,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vmul(vd509,vd512),vmul(vd508,vd511))),
% 9.64/1.66 inference(resolution,[status(thm)],[f1890,f65])).
% 9.64/1.66 fof(f5140,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vplus(vmul(vd509,vd512),vmul(vd511,vd509)),vplus(vmul(vd508,vd511),vmul(vd509,vd512)))),
% 9.64/1.66 inference(resolution,[status(thm)],[f4675,f352])).
% 9.64/1.66 fof(f5154,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vmul(vd509,vplus(vd512,vd511)),vplus(vmul(vd508,vd511),vmul(vd509,vd512)))),
% 9.64/1.66 inference(forward_demodulation,[status(thm)],[f323,f5140])).
% 9.64/1.66 fof(f5155,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vmul(vd509,vplus(vd511,vd512)),vplus(vmul(vd508,vd511),vmul(vd509,vd512)))),
% 9.64/1.66 inference(forward_demodulation,[status(thm)],[f182,f5154])).
% 9.64/1.66 fof(f7623,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vplus(vmul(vd509,vplus(vd511,vd512)),vmul(vd508,vd511)),vplus(vplus(vmul(vd508,vd511),vmul(vd509,vd512)),vmul(vd511,vd509)))),
% 9.64/1.66 inference(resolution,[status(thm)],[f5155,f351])).
% 9.64/1.66 fof(f7649,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vplus(vmul(vd508,vd511),vmul(vd509,vplus(vd511,vd512))),vplus(vplus(vmul(vd508,vd511),vmul(vd509,vd512)),vmul(vd511,vd509)))),
% 9.64/1.66 inference(forward_demodulation,[status(thm)],[f182,f7623])).
% 9.64/1.66 fof(f7650,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vplus(vmul(vd508,vd511),vmul(vd509,vplus(vd511,vd512))),vplus(vmul(vd508,vd511),vplus(vmul(vd509,vd512),vmul(vd511,vd509))))),
% 9.64/1.66 inference(forward_demodulation,[status(thm)],[f185,f7649])).
% 9.64/1.66 fof(f7651,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vplus(vmul(vd508,vd511),vmul(vd509,vplus(vd511,vd512))),vplus(vmul(vd508,vd511),vmul(vd509,vplus(vd512,vd511))))),
% 9.64/1.66 inference(forward_demodulation,[status(thm)],[f323,f7650])).
% 9.64/1.66 fof(f7652,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)|greater(vplus(vmul(vd508,vd511),vmul(vd509,vplus(vd511,vd512))),vplus(vmul(vd508,vd511),vmul(vd509,vplus(vd511,vd512))))),
% 9.64/1.66 inference(forward_demodulation,[status(thm)],[f182,f7651])).
% 9.64/1.66 fof(f7653,plain,(
% 9.64/1.66 vmul(vd508,vd511)=vmul(vd509,vd512)),
% 9.64/1.66 inference(forward_subsumption_resolution,[status(thm)],[f7652,f200])).
% 9.64/1.66 fof(f8646,plain,(
% 9.64/1.66 less(vmul(vd508,vd511),vmul(vd511,vd509))),
% 9.64/1.66 inference(backward_demodulation,[status(thm)],[f7653,f441])).
% 9.64/1.66 fof(f8749,plain,(
% 9.64/1.66 ~greater(vmul(vd508,vd511),vmul(vd511,vd509))),
% 9.64/1.66 inference(resolution,[status(thm)],[f8646,f159])).
% 9.64/1.66 fof(f8753,plain,(
% 9.64/1.66 $false),
% 9.64/1.66 inference(forward_subsumption_resolution,[status(thm)],[f8749,f389])).
% 9.64/1.66 % SZS output end CNFRefutation for theBenchmark.p
% 9.64/1.68 % Elapsed time: 1.304551 seconds
% 9.64/1.68 % CPU time: 9.960721 seconds
% 9.64/1.68 % Total memory used: 198.284 MB
% 9.64/1.68 % Net memory used: 186.346 MB
%------------------------------------------------------------------------------