%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM482+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 : n006.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 01:43:00 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM482+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
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:33:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,axiom,(
% 0.14/0.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,axiom,(
% 0.14/0.40 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f30,definition,(
% 0.14/0.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( doDivides0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) )) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f38,hypothesis,(
% 0.14/0.40 aNaturalNumber0(xk) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f41,conjecture,(
% 0.14/0.40 ( isPrime0(xk)=> (? [W0] :( aNaturalNumber0(W0)& doDivides0(W0,xk)& isPrime0(W0) ) )) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f42,negated_conjecture,(
% 0.14/0.40 ~(( isPrime0(xk)=> (? [W0] :( aNaturalNumber0(W0)& doDivides0(W0,xk)& isPrime0(W0) ) )) )),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f41])).
% 0.14/0.40 fof(f47,plain,(
% 0.14/0.40 aNaturalNumber0(sz10)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f52,plain,(
% 0.14/0.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f65,plain,(
% 0.14/0.40 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f64])).
% 0.14/0.40 fof(f124,plain,(
% 0.14/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(doDivides0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 ![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))))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f124])).
% 0.14/0.40 fof(f126,plain,(
% 0.14/0.40 ![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))))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f125])).
% 0.14/0.40 fof(f129,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|doDivides0(X0,X1)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f126])).
% 0.14/0.40 fof(f156,plain,(
% 0.14/0.40 aNaturalNumber0(xk)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.40 fof(f164,plain,(
% 0.14/0.40 (isPrime0(xk)&(![W0]: ((~aNaturalNumber0(W0)|~doDivides0(W0,xk))|~isPrime0(W0))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.14/0.40 fof(f165,plain,(
% 0.14/0.40 isPrime0(xk)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f164])).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 ![X0]: (~aNaturalNumber0(X0)|~doDivides0(X0,xk)|~isPrime0(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f164])).
% 0.14/0.40 fof(f173,plain,(
% 0.14/0.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f129])).
% 0.14/0.40 fof(f201,plain,(
% 0.14/0.40 sdtasdt0(xk,sz10)=xk),
% 0.14/0.40 inference(resolution,[status(thm)],[f65,f156])).
% 0.14/0.40 fof(f216,plain,(
% 0.14/0.40 ![X0,X1]: (~aNaturalNumber0(X0)|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.14/0.40 inference(backward_subsumption_resolution,[status(thm)],[f173,f52])).
% 0.14/0.40 fof(f253,plain,(
% 0.14/0.40 ![X0]: (doDivides0(xk,sdtasdt0(xk,X0))|~aNaturalNumber0(X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f216,f156])).
% 0.14/0.40 fof(f371,plain,(
% 0.14/0.40 doDivides0(xk,sdtasdt0(xk,sz10))),
% 0.14/0.40 inference(resolution,[status(thm)],[f253,f47])).
% 0.14/0.40 fof(f374,plain,(
% 0.14/0.40 doDivides0(xk,xk)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f201,f371])).
% 0.14/0.40 fof(f375,plain,(
% 0.14/0.40 ~aNaturalNumber0(xk)|~isPrime0(xk)),
% 0.14/0.40 inference(resolution,[status(thm)],[f374,f166])).
% 0.14/0.40 fof(f380,plain,(
% 0.14/0.40 ~isPrime0(xk)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f375,f156])).
% 0.14/0.40 fof(f384,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f380,f165])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.060858 seconds
% 0.14/0.43 % CPU time: 0.276490 seconds
% 0.14/0.43 % Total memory used: 84.910 MB
% 0.14/0.43 % Net memory used: 84.550 MB
%------------------------------------------------------------------------------