%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM521+1 : 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 : n004.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 01:43:06 PM UTC 2026
% Result : Theorem 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM521+1 : 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 : n004.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 02:37:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f23,axiom,(
% 0.10/0.42 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f39,hypothesis,(
% 0.10/0.42 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f42,hypothesis,(
% 0.10/0.42 ~ sdtlseqdt0(xp,xn) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f43,hypothesis,(
% 0.10/0.42 ~ sdtlseqdt0(xp,xm) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f44,hypothesis,(
% 0.10/0.42 ~ ( xn != xp& sdtlseqdt0(xn,xp)& xm != xp& sdtlseqdt0(xm,xp) ) ),
% 0.10/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f106,plain,(
% 0.10/0.42 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.10/0.42 fof(f108,plain,(
% 0.10/0.42 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f106])).
% 0.10/0.42 fof(f165,plain,(
% 0.10/0.42 aNaturalNumber0(xn)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.42 fof(f166,plain,(
% 0.10/0.42 aNaturalNumber0(xm)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.42 fof(f167,plain,(
% 0.10/0.42 aNaturalNumber0(xp)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.42 fof(f172,plain,(
% 0.10/0.42 ~sdtlseqdt0(xp,xn)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.10/0.42 fof(f173,plain,(
% 0.10/0.42 ~sdtlseqdt0(xp,xm)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f43])).
% 0.10/0.42 fof(f174,plain,(
% 0.10/0.42 (((xn=xp|~sdtlseqdt0(xn,xp))|xm=xp)|~sdtlseqdt0(xm,xp))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.10/0.42 fof(f175,plain,(
% 0.10/0.42 xn=xp|~sdtlseqdt0(xn,xp)|xm=xp|~sdtlseqdt0(xm,xp)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f174])).
% 0.10/0.42 fof(f179,definition,(
% 0.10/0.42 sQ0_spl <=> (xn=xp)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f180,plain,(
% 0.10/0.42 xn=xp|~sQ0_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f179])).
% 0.10/0.42 fof(f182,definition,(
% 0.10/0.42 sQ1_spl <=> (sdtlseqdt0(xn,xp))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f185,definition,(
% 0.10/0.42 sQ2_spl <=> (xm=xp)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f186,plain,(
% 0.10/0.42 xm=xp|~sQ2_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f185])).
% 0.10/0.42 fof(f188,definition,(
% 0.10/0.42 sQ3_spl <=> (sdtlseqdt0(xm,xp))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f191,plain,(
% 0.10/0.42 sQ0_spl|~sQ1_spl|sQ2_spl|~sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f175,f179,f182,f185,f188])).
% 0.10/0.42 fof(f247,plain,(
% 0.10/0.42 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(xp,X0)|sdtlseqdt0(X0,xp))),
% 0.10/0.42 inference(resolution,[status(thm)],[f108,f167])).
% 0.10/0.42 fof(f252,plain,(
% 0.10/0.42 sdtlseqdt0(xp,xp)|sdtlseqdt0(xp,xp)),
% 0.10/0.42 inference(resolution,[status(thm)],[f247,f167])).
% 0.10/0.42 fof(f253,plain,(
% 0.10/0.42 sdtlseqdt0(xp,xm)|sdtlseqdt0(xm,xp)),
% 0.10/0.42 inference(resolution,[status(thm)],[f247,f166])).
% 0.10/0.42 fof(f254,plain,(
% 0.10/0.42 sdtlseqdt0(xp,xn)|sdtlseqdt0(xn,xp)),
% 0.10/0.42 inference(resolution,[status(thm)],[f247,f165])).
% 0.10/0.42 fof(f269,definition,(
% 0.10/0.42 sQ8_spl <=> (sdtlseqdt0(xp,xp))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f270,plain,(
% 0.10/0.42 sdtlseqdt0(xp,xp)|~sQ8_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f269])).
% 0.10/0.42 fof(f272,plain,(
% 0.10/0.42 sQ8_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f252,f269])).
% 0.10/0.42 fof(f273,definition,(
% 0.10/0.42 sQ9_spl <=> (sdtlseqdt0(xp,xm))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f274,plain,(
% 0.10/0.42 sdtlseqdt0(xp,xm)|~sQ9_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f273])).
% 0.10/0.42 fof(f276,plain,(
% 0.10/0.42 sQ9_spl|sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f253,f273,f188])).
% 0.10/0.42 fof(f277,definition,(
% 0.10/0.42 sQ10_spl <=> (sdtlseqdt0(xp,xn))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f278,plain,(
% 0.10/0.43 sdtlseqdt0(xp,xn)|~sQ10_spl),
% 0.10/0.43 inference(component_clause,[status(thm)],[f277])).
% 0.10/0.43 fof(f280,plain,(
% 0.10/0.43 sQ10_spl|sQ1_spl),
% 0.10/0.43 inference(split_clause,[status(thm)],[f254,f277,f182])).
% 0.10/0.43 fof(f281,plain,(
% 0.10/0.43 $false|~sQ10_spl),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f278,f172])).
% 0.10/0.43 fof(f282,plain,(
% 0.10/0.43 ~sQ10_spl),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f281])).
% 0.10/0.43 fof(f283,plain,(
% 0.10/0.43 $false|~sQ9_spl),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f274,f173])).
% 0.10/0.43 fof(f284,plain,(
% 0.10/0.43 ~sQ9_spl),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f283])).
% 0.10/0.43 fof(f292,plain,(
% 0.10/0.43 sdtlseqdt0(xp,xn)|~sQ0_spl|~sQ8_spl),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f180,f270])).
% 0.10/0.43 fof(f308,plain,(
% 0.10/0.43 sQ10_spl|~sQ0_spl|~sQ8_spl),
% 0.10/0.43 inference(split_clause,[status(thm)],[f292,f277,f179,f269])).
% 0.10/0.43 fof(f324,plain,(
% 0.10/0.43 sdtlseqdt0(xm,xp)|~sQ2_spl|~sQ8_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f186,f270])).
% 0.10/0.43 fof(f325,plain,(
% 0.10/0.43 sdtlseqdt0(xm,xm)|~sQ2_spl|~sQ8_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f186,f324])).
% 0.10/0.43 fof(f338,plain,(
% 0.10/0.43 ~sdtlseqdt0(xm,xm)|~sQ2_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f186,f173])).
% 0.10/0.43 fof(f339,plain,(
% 0.10/0.43 $false|~sQ8_spl|~sQ2_spl),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f338,f325])).
% 0.10/0.43 fof(f340,plain,(
% 0.10/0.43 ~sQ8_spl|~sQ2_spl),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f339])).
% 0.10/0.43 fof(f341,plain,(
% 0.10/0.43 $false),
% 0.10/0.43 inference(sat_refutation,[status(thm)],[f191,f272,f276,f280,f282,f284,f308,f340])).
% 0.10/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.46 % Elapsed time: 0.084828 seconds
% 0.15/0.46 % CPU time: 0.314748 seconds
% 0.15/0.46 % Total memory used: 40.704 MB
% 0.15/0.46 % Net memory used: 40.457 MB
%------------------------------------------------------------------------------