%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM578+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 : n005.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 01:43:15 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM578+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 : n005.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 02:41:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f84,hypothesis,(
% 0.10/0.39 ( aElementOf0(xi,szNzAzT0)& aElementOf0(xj,szNzAzT0) ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f85,hypothesis,(
% 0.10/0.39 ( xi != xj=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f86,conjecture,(
% 0.10/0.39 ( (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(szszuzczcdt0(W0),W1)=> ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ))=> ( xi != xj=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f87,negated_conjecture,(
% 0.10/0.39 ~(( (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( sdtlseqdt0(szszuzczcdt0(W0),W1)=> ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))& szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ))=> ( xi != xj=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) )),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f86])).
% 0.10/0.39 fof(f373,plain,(
% 0.10/0.39 aElementOf0(xi,szNzAzT0)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.39 fof(f374,plain,(
% 0.10/0.39 aElementOf0(xj,szNzAzT0)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f84])).
% 0.10/0.39 fof(f375,plain,(
% 0.10/0.39 xi=xj|(sdtlseqdt0(szszuzczcdt0(xj),xi)|sdtlseqdt0(szszuzczcdt0(xi),xj))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 0.10/0.39 fof(f376,plain,(
% 0.10/0.39 xi=xj|sdtlseqdt0(szszuzczcdt0(xj),xi)|sdtlseqdt0(szszuzczcdt0(xi),xj)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f375])).
% 0.10/0.39 fof(f377,plain,(
% 0.10/0.39 ((![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~sdtlseqdt0(szszuzczcdt0(W0),W1)|(aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))&~szmzizndt0(sdtlpdtrp0(xN,W1))=szmzizndt0(sdtlpdtrp0(xN,W0))))))&(~xi=xj&szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))))),
% 0.10/0.39 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 0.10/0.39 fof(f379,plain,(
% 0.10/0.39 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),X1)|~szmzizndt0(sdtlpdtrp0(xN,X1))=szmzizndt0(sdtlpdtrp0(xN,X0)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f377])).
% 0.10/0.39 fof(f380,plain,(
% 0.10/0.39 ~xi=xj),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f377])).
% 0.10/0.39 fof(f381,plain,(
% 0.10/0.39 szmzizndt0(sdtlpdtrp0(xN,xi))=szmzizndt0(sdtlpdtrp0(xN,xj))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f377])).
% 0.10/0.39 fof(f388,definition,(
% 0.10/0.39 sQ0_spl <=> (xi=xj)),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f389,plain,(
% 0.10/0.39 xi=xj|~sQ0_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f388])).
% 0.10/0.39 fof(f391,definition,(
% 0.10/0.39 sQ1_spl <=> (sdtlseqdt0(szszuzczcdt0(xj),xi))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f394,definition,(
% 0.10/0.39 sQ2_spl <=> (sdtlseqdt0(szszuzczcdt0(xi),xj))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f397,plain,(
% 0.10/0.39 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f376,f388,f391,f394])).
% 0.10/0.39 fof(f439,plain,(
% 0.10/0.39 ~aElementOf0(xj,szNzAzT0)|~aElementOf0(xi,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xj),xi)),
% 0.10/0.39 inference(resolution,[status(thm)],[f379,f381])).
% 0.10/0.39 fof(f440,plain,(
% 0.10/0.39 ~aElementOf0(xi,szNzAzT0)|~aElementOf0(xj,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(xi),xj)),
% 0.10/0.39 inference(resolution,[status(thm)],[f379,f381])).
% 0.10/0.39 fof(f444,definition,(
% 0.10/0.39 sQ3_spl <=> (aElementOf0(xj,szNzAzT0))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f446,plain,(
% 0.10/0.39 ~aElementOf0(xj,szNzAzT0)|sQ3_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f444])).
% 0.10/0.39 fof(f447,definition,(
% 0.10/0.39 sQ4_spl <=> (aElementOf0(xi,szNzAzT0))),
% 0.10/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.39 fof(f449,plain,(
% 0.10/0.39 ~aElementOf0(xi,szNzAzT0)|sQ4_spl),
% 0.10/0.39 inference(component_clause,[status(thm)],[f447])).
% 0.10/0.39 fof(f450,plain,(
% 0.10/0.39 ~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f439,f444,f447,f391])).
% 0.10/0.39 fof(f451,plain,(
% 0.10/0.39 ~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.39 inference(split_clause,[status(thm)],[f440,f447,f444,f394])).
% 0.10/0.39 fof(f461,plain,(
% 0.10/0.39 $false|~sQ0_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f389,f380])).
% 0.10/0.39 fof(f462,plain,(
% 0.10/0.39 ~sQ0_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f461])).
% 0.10/0.39 fof(f463,plain,(
% 0.10/0.39 $false|sQ4_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f373,f449])).
% 0.10/0.39 fof(f464,plain,(
% 0.10/0.39 sQ4_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f463])).
% 0.10/0.39 fof(f465,plain,(
% 0.10/0.39 $false|sQ3_spl),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f446,f374])).
% 0.10/0.39 fof(f466,plain,(
% 0.10/0.39 sQ3_spl),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f465])).
% 0.10/0.39 fof(f467,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(sat_refutation,[status(thm)],[f397,f450,f451,f462,f464,f466])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.045297 seconds
% 0.10/0.42 % CPU time: 0.092487 seconds
% 0.10/0.42 % Total memory used: 17.159 MB
% 0.10/0.42 % Net memory used: 17.136 MB
%------------------------------------------------------------------------------