%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM472+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 : n010.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 01:42:59 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM472+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:33:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,definition,(
% 0.13/0.39 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,hypothesis,(
% 0.13/0.39 ( aNaturalNumber0(xl)& aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f39,conjecture,(
% 0.13/0.39 sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f40,negated_conjecture,(
% 0.13/0.39 ~(sdtlseqdt0(xm,sdtpldt0(xm,xn)) )),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f39])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f82])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(aNaturalNumber0(sK0_skl(W1,W0))&sdtpldt0(W0,sK0_skl(W1,W0))=W1))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W2,sK0_skl(W1,W0))],[f83])).
% 0.13/0.39 fof(f87,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f84])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 aNaturalNumber0(xm)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 aNaturalNumber0(xn)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 ~sdtlseqdt0(xm,sdtpldt0(xm,xn))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.39 fof(f147,plain,(
% 0.13/0.39 ![X0,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X2))|sdtlseqdt0(X0,sdtpldt0(X0,X2))|~aNaturalNumber0(X2))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f87])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f147,f48])).
% 0.13/0.39 fof(f161,plain,(
% 0.13/0.39 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),
% 0.13/0.39 inference(resolution,[status(thm)],[f148,f146])).
% 0.13/0.39 fof(f163,plain,(
% 0.13/0.39 ~aNaturalNumber0(xn)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f161,f139])).
% 0.13/0.39 fof(f164,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f140,f163])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.051564 seconds
% 0.13/0.43 % CPU time: 0.154366 seconds
% 0.13/0.43 % Total memory used: 103.855 MB
% 0.13/0.43 % Net memory used: 103.754 MB
%------------------------------------------------------------------------------