%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM496+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:43:03 PM UTC 2026
% Result : Theorem 89.51s 11.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM496+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:34:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 89.51/11.74 % Refutation found
% 89.51/11.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 89.51/11.74 % SZS output start CNFRefutation for theBenchmark
% 89.51/11.74 fof(f3,axiom,(
% 89.51/11.74 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f5,axiom,(
% 89.51/11.74 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f6,axiom,(
% 89.51/11.74 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) )),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f11,axiom,(
% 89.51/11.74 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f30,definition,(
% 89.51/11.74 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( doDivides0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) )) ) )),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f33,axiom,(
% 89.51/11.74 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( doDivides0(W0,W1)& doDivides0(W0,W2) )=> doDivides0(W0,sdtpldt0(W1,W2)) ) ) )),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f39,hypothesis,(
% 89.51/11.74 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f43,hypothesis,(
% 89.51/11.74 ( aNaturalNumber0(xr)& sdtpldt0(xp,xr) = xn& xr = sdtmndt0(xn,xp) ) ),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f46,hypothesis,(
% 89.51/11.74 ( ( (? [W0] :( aNaturalNumber0(W0)& xr = sdtasdt0(xp,W0) ))& doDivides0(xp,xr) )| ( (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xp,W0) ))& doDivides0(xp,xm) ) ) ),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f47,conjecture,(
% 89.51/11.74 ( (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xp,W0) ))| doDivides0(xp,xn)| (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xp,W0) ))| doDivides0(xp,xm) ) ),
% 89.51/11.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 89.51/11.74 fof(f48,negated_conjecture,(
% 89.51/11.74 ~(( (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xp,W0) ))| doDivides0(xp,xn)| (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xp,W0) ))| doDivides0(xp,xm) ) )),
% 89.51/11.74 inference(negated_conjecture,[status(cth)],[f47])).
% 89.51/11.74 fof(f53,plain,(
% 89.51/11.74 aNaturalNumber0(sz10)),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f3])).
% 89.51/11.74 fof(f57,plain,(
% 89.51/11.74 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 89.51/11.74 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 89.51/11.74 fof(f58,plain,(
% 89.51/11.74 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f57])).
% 89.51/11.74 fof(f59,plain,(
% 89.51/11.74 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtpldt0(W0,W1)=sdtpldt0(W1,W0))),
% 89.51/11.74 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 89.51/11.74 fof(f60,plain,(
% 89.51/11.74 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0))),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f59])).
% 89.51/11.74 fof(f70,plain,(
% 89.51/11.74 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 89.51/11.74 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 89.51/11.74 fof(f71,plain,(
% 89.51/11.74 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f70])).
% 89.51/11.74 fof(f130,plain,(
% 89.51/11.74 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(doDivides0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))))),
% 89.51/11.74 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 89.51/11.74 fof(f131,plain,(
% 89.51/11.74 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))&(doDivides0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2))))))),
% 89.51/11.74 inference(NNF_transformation,[status(thm)],[f130])).
% 89.51/11.74 fof(f132,plain,(
% 89.51/11.74 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(aNaturalNumber0(sK1_skl(W1,W0))&W1=sdtasdt0(W0,sK1_skl(W1,W0))))&(doDivides0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2))))))),
% 89.51/11.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f131])).
% 89.51/11.74 fof(f135,plain,(
% 89.51/11.74 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|doDivides0(X0,X1)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f132])).
% 89.51/11.74 fof(f144,plain,(
% 89.51/11.74 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~doDivides0(W0,W1)|~doDivides0(W0,W2))|doDivides0(W0,sdtpldt0(W1,W2))))),
% 89.51/11.74 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 89.51/11.74 fof(f145,plain,(
% 89.51/11.74 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X0,X1)|~doDivides0(X0,X2)|doDivides0(X0,sdtpldt0(X1,X2)))),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f144])).
% 89.51/11.74 fof(f169,plain,(
% 89.51/11.74 aNaturalNumber0(xp)),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f39])).
% 89.51/11.74 fof(f195,plain,(
% 89.51/11.74 aNaturalNumber0(xr)),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f43])).
% 89.51/11.74 fof(f196,plain,(
% 89.51/11.74 sdtpldt0(xp,xr)=xn),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f43])).
% 89.51/11.74 fof(f207,definition,(
% 89.51/11.74 sP2_prd<=>((?[W0]: (aNaturalNumber0(W0)&xr=sdtasdt0(xp,W0)))&doDivides0(xp,xr))),
% 89.51/11.74 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 89.51/11.74 fof(f208,plain,(
% 89.51/11.74 sP2_prd|((?[W0]: (aNaturalNumber0(W0)&xm=sdtasdt0(xp,W0)))&doDivides0(xp,xm))),
% 89.51/11.74 inference(formula_renaming,[status(thm)],[f46,f207])).
% 89.51/11.74 fof(f209,plain,(
% 89.51/11.74 sP2_prd|((aNaturalNumber0(sK9_skl)&xm=sdtasdt0(xp,sK9_skl))&doDivides0(xp,xm))),
% 89.51/11.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(W0,sK9_skl)],[f208])).
% 89.51/11.74 fof(f212,plain,(
% 89.51/11.74 sP2_prd|doDivides0(xp,xm)),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f209])).
% 89.51/11.74 fof(f213,plain,(
% 89.51/11.74 ((((![W0]: (~aNaturalNumber0(W0)|~xn=sdtasdt0(xp,W0)))&~doDivides0(xp,xn))&(![W0]: (~aNaturalNumber0(W0)|~xm=sdtasdt0(xp,W0))))&~doDivides0(xp,xm))),
% 89.51/11.74 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 89.51/11.74 fof(f215,plain,(
% 89.51/11.74 ~doDivides0(xp,xn)),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f213])).
% 89.51/11.74 fof(f217,plain,(
% 89.51/11.74 ~doDivides0(xp,xm)),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f213])).
% 89.51/11.74 fof(f238,plain,(
% 89.51/11.74 (~sP2_prd|((?[W0]: (aNaturalNumber0(W0)&xr=sdtasdt0(xp,W0)))&doDivides0(xp,xr)))&(sP2_prd|((![W0]: (~aNaturalNumber0(W0)|~xr=sdtasdt0(xp,W0)))|~doDivides0(xp,xr)))),
% 89.51/11.74 inference(NNF_transformation,[status(thm)],[f207])).
% 89.51/11.74 fof(f239,plain,(
% 89.51/11.74 (~sP2_prd|((aNaturalNumber0(sK13_skl)&xr=sdtasdt0(xp,sK13_skl))&doDivides0(xp,xr)))&(sP2_prd|((![W0]: (~aNaturalNumber0(W0)|~xr=sdtasdt0(xp,W0)))|~doDivides0(xp,xr)))),
% 89.51/11.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(W0,sK13_skl)],[f238])).
% 89.51/11.74 fof(f242,plain,(
% 89.51/11.74 ~sP2_prd|doDivides0(xp,xr)),
% 89.51/11.74 inference(cnf_transformation,[status(thm)],[f239])).
% 89.51/11.74 fof(f250,plain,(
% 89.51/11.74 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 89.51/11.74 inference(destructive_equality_resolution,[status(thm)],[f135])).
% 89.51/11.74 fof(f353,plain,(
% 89.51/11.74 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,xp)=sdtpldt0(xp,X0))),
% 89.51/11.74 inference(resolution,[status(thm)],[f60,f169])).
% 89.51/11.74 fof(f442,plain,(
% 89.51/11.74 ![X0,X1]: (~aNaturalNumber0(X0)|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 89.51/11.74 inference(forward_subsumption_resolution,[status(thm)],[f250,f58])).
% 89.51/11.74 fof(f455,plain,(
% 89.51/11.74 ![X0]: (doDivides0(xp,sdtasdt0(xp,X0))|~aNaturalNumber0(X0))),
% 89.51/11.74 inference(resolution,[status(thm)],[f442,f169])).
% 89.51/11.74 fof(f696,plain,(
% 89.51/11.74 sdtasdt0(xp,sz10)=xp),
% 89.51/11.74 inference(resolution,[status(thm)],[f71,f169])).
% 89.51/11.74 fof(f875,plain,(
% 89.51/11.74 sP2_prd),
% 89.51/11.74 inference(forward_subsumption_resolution,[status(thm)],[f212,f217])).
% 89.51/11.74 fof(f1172,plain,(
% 89.51/11.74 doDivides0(xp,xr)),
% 89.51/11.74 inference(forward_subsumption_resolution,[status(thm)],[f242,f875])).
% 89.51/11.74 fof(f1176,plain,(
% 89.51/11.74 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~aNaturalNumber0(X0)|~doDivides0(xp,X0)|doDivides0(xp,sdtpldt0(xr,X0)))),
% 89.51/11.74 inference(resolution,[status(thm)],[f1172,f145])).
% 89.51/11.74 fof(f1181,plain,(
% 89.51/11.74 ![X0]: (~aNaturalNumber0(xr)|~aNaturalNumber0(X0)|~doDivides0(xp,X0)|doDivides0(xp,sdtpldt0(xr,X0)))),
% 89.51/11.74 inference(forward_subsumption_resolution,[status(thm)],[f1176,f169])).
% 89.51/11.74 fof(f15930,plain,(
% 89.51/11.74 ![X0]: (~aNaturalNumber0(X0)|~doDivides0(xp,X0)|doDivides0(xp,sdtpldt0(xr,X0)))),
% 89.51/11.81 inference(forward_subsumption_resolution,[status(thm)],[f1181,f195])).
% 89.51/11.81 fof(f37736,plain,(
% 89.51/11.81 sdtpldt0(xr,xp)=sdtpldt0(xp,xr)),
% 89.51/11.81 inference(resolution,[status(thm)],[f353,f195])).
% 89.51/11.81 fof(f37837,plain,(
% 89.51/11.81 sdtpldt0(xr,xp)=xn),
% 89.51/11.81 inference(forward_demodulation,[status(thm)],[f196,f37736])).
% 89.51/11.81 fof(f41747,plain,(
% 89.51/11.81 doDivides0(xp,sdtasdt0(xp,sz10))),
% 89.51/11.81 inference(resolution,[status(thm)],[f455,f53])).
% 89.51/11.81 fof(f41848,plain,(
% 89.51/11.81 doDivides0(xp,xp)),
% 89.51/11.81 inference(forward_demodulation,[status(thm)],[f696,f41747])).
% 89.51/11.81 fof(f41850,plain,(
% 89.51/11.81 ~aNaturalNumber0(xp)|doDivides0(xp,sdtpldt0(xr,xp))),
% 89.51/11.81 inference(resolution,[status(thm)],[f41848,f15930])).
% 89.51/11.81 fof(f41865,plain,(
% 89.51/11.81 ~aNaturalNumber0(xp)|doDivides0(xp,xn)),
% 89.51/11.81 inference(forward_demodulation,[status(thm)],[f37837,f41850])).
% 89.51/11.81 fof(f41866,plain,(
% 89.51/11.81 doDivides0(xp,xn)),
% 89.51/11.81 inference(forward_subsumption_resolution,[status(thm)],[f41865,f169])).
% 89.51/11.81 fof(f41904,plain,(
% 89.51/11.81 $false),
% 89.51/11.81 inference(forward_subsumption_resolution,[status(thm)],[f41866,f215])).
% 89.51/11.81 % SZS output end CNFRefutation for theBenchmark.p
% 31.28/11.82 % Elapsed time: 11.438450 seconds
% 31.28/11.82 % CPU time: 90.225059 seconds
% 31.28/11.82 % Total memory used: 457.058 MB
% 31.28/11.82 % Net memory used: 429.464 MB
%------------------------------------------------------------------------------