%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM491+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 01:43:02 PM UTC 2026
% Result : Theorem 0.08s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM491+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n003.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 02:36:07 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.08/5.40 % Refutation found
% 0.08/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.40 fof(f5,axiom,(
% 0.08/5.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 0.08/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.40 fof(f30,definition,(
% 0.08/5.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( doDivides0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) )) ) )),
% 0.08/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.40 fof(f39,hypothesis,(
% 0.08/5.40 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 0.08/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.40 fof(f48,conjecture,(
% 0.08/5.40 doDivides0(xp,sdtasdt0(xp,xm)) ),
% 0.08/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.40 fof(f49,negated_conjecture,(
% 0.08/5.40 ~(doDivides0(xp,sdtasdt0(xp,xm)) )),
% 0.08/5.40 inference(negated_conjecture,[status(cth)],[f48])).
% 0.08/5.40 fof(f58,plain,(
% 0.08/5.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 0.08/5.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/5.40 fof(f59,plain,(
% 0.08/5.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.08/5.40 fof(f131,plain,(
% 0.08/5.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(doDivides0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))))),
% 0.08/5.40 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.08/5.40 fof(f132,plain,(
% 0.08/5.40 ![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))))))),
% 0.08/5.40 inference(NNF_transformation,[status(thm)],[f131])).
% 0.08/5.40 fof(f133,plain,(
% 0.08/5.40 ![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))))))),
% 0.08/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f132])).
% 0.08/5.40 fof(f136,plain,(
% 0.08/5.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|doDivides0(X0,X1)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f133])).
% 0.08/5.40 fof(f169,plain,(
% 0.08/5.40 aNaturalNumber0(xm)),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.08/5.40 fof(f170,plain,(
% 0.08/5.40 aNaturalNumber0(xp)),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.08/5.40 fof(f182,plain,(
% 0.08/5.40 ~doDivides0(xp,sdtasdt0(xp,xm))),
% 0.08/5.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.08/5.40 fof(f189,plain,(
% 0.08/5.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.08/5.40 inference(destructive_equality_resolution,[status(thm)],[f136])).
% 0.08/5.40 fof(f227,plain,(
% 0.08/5.40 ![X0,X1]: (~aNaturalNumber0(X0)|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.08/5.40 inference(forward_subsumption_resolution,[status(thm)],[f189,f59])).
% 0.08/5.40 fof(f231,plain,(
% 0.08/5.40 ~aNaturalNumber0(xp)|~aNaturalNumber0(xm)),
% 0.08/5.40 inference(resolution,[status(thm)],[f227,f182])).
% 0.13/5.40 fof(f232,definition,(
% 0.13/5.40 sQ0_spl <=> (aNaturalNumber0(xp))),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f234,plain,(
% 0.13/5.40 ~aNaturalNumber0(xp)|sQ0_spl),
% 0.13/5.40 inference(component_clause,[status(thm)],[f232])).
% 0.13/5.40 fof(f235,definition,(
% 0.13/5.40 sQ1_spl <=> (aNaturalNumber0(xm))),
% 0.13/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.40 fof(f237,plain,(
% 0.13/5.40 ~aNaturalNumber0(xm)|sQ1_spl),
% 0.13/5.40 inference(component_clause,[status(thm)],[f235])).
% 0.13/5.40 fof(f238,plain,(
% 0.13/5.40 ~sQ0_spl|~sQ1_spl),
% 0.13/5.40 inference(split_clause,[status(thm)],[f231,f232,f235])).
% 0.13/5.40 fof(f239,plain,(
% 0.13/5.40 $false|sQ0_spl),
% 0.13/5.40 inference(forward_subsumption_resolution,[status(thm)],[f234,f170])).
% 0.13/5.40 fof(f240,plain,(
% 0.13/5.40 sQ0_spl),
% 0.13/5.40 inference(contradiction_clause,[status(thm)],[f239])).
% 0.13/5.40 fof(f241,plain,(
% 0.13/5.40 $false|sQ1_spl),
% 0.13/5.40 inference(forward_subsumption_resolution,[status(thm)],[f237,f169])).
% 0.13/5.40 fof(f242,plain,(
% 0.13/5.40 sQ1_spl),
% 0.13/5.40 inference(contradiction_clause,[status(thm)],[f241])).
% 0.13/5.40 fof(f243,plain,(
% 0.13/5.40 $false),
% 0.13/5.40 inference(sat_refutation,[status(thm)],[f238,f240,f242])).
% 0.13/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.053660 seconds
% 0.13/5.43 % CPU time: 0.163633 seconds
% 0.13/5.43 % Total memory used: 104.476 MB
% 0.13/5.43 % Net memory used: 104.381 MB
%------------------------------------------------------------------------------