%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM539+2 : 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 : 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 01:43:09 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 : NUM539+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 02:38:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % 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(f35,axiom,(
% 0.10/0.42 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f49,hypothesis,(
% 0.10/0.42 ( aSet0(xS)& (! [W0] :( aElementOf0(W0,xS)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xS,szNzAzT0)& aSet0(xT)& (! [W0] :( aElementOf0(W0,xT)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xT,szNzAzT0)& ~ ( ~ (? [W0] : aElementOf0(W0,xS))| xS = slcrc0 )& ~ ( ~ (? [W0] : aElementOf0(W0,xT))| xT = slcrc0 ) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f50,hypothesis,(
% 0.10/0.42 ( aElementOf0(szmzizndt0(xS),xS)& (! [W0] :( aElementOf0(W0,xS)=> sdtlseqdt0(szmzizndt0(xS),W0) ))& aElementOf0(szmzizndt0(xS),xT)& aElementOf0(szmzizndt0(xT),xT)& (! [W0] :( aElementOf0(W0,xT)=> sdtlseqdt0(szmzizndt0(xT),W0) ))& aElementOf0(szmzizndt0(xT),xS) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f51,conjecture,(
% 0.10/0.42 ( ( aElementOf0(szmzizndt0(xS),xS)& (! [W0] :( aElementOf0(W0,xS)=> sdtlseqdt0(szmzizndt0(xS),W0) ) ))=> ( (! [W0] :( aElementOf0(W0,xT)=> sdtlseqdt0(szmzizndt0(xS),W0) ))| szmzizndt0(xS) = szmzizndt0(xT) ) ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f52,negated_conjecture,(
% 0.10/0.42 ~(( ( aElementOf0(szmzizndt0(xS),xS)& (! [W0] :( aElementOf0(W0,xS)=> sdtlseqdt0(szmzizndt0(xS),W0) ) ))=> ( (! [W0] :( aElementOf0(W0,xT)=> sdtlseqdt0(szmzizndt0(xS),W0) ))| szmzizndt0(xS) = szmzizndt0(xT) ) ) )),
% 0.10/0.42 inference(negated_conjecture,[status(cth)],[f51])).
% 0.10/0.42 fof(f157,plain,(
% 0.10/0.42 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.10/0.42 fof(f158,plain,(
% 0.10/0.42 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f157])).
% 0.10/0.42 fof(f203,plain,(
% 0.10/0.42 ((((((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&aSet0(xT))&(![W0]: (~aElementOf0(W0,xT)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xT,szNzAzT0))&((?[W0]: aElementOf0(W0,xS))&~xS=slcrc0))&((?[W0]: aElementOf0(W0,xT))&~xT=slcrc0)),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.10/0.42 fof(f204,plain,(
% 0.10/0.42 ((((((aSet0(xS)&(![W0]: (~aElementOf0(W0,xS)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xS,szNzAzT0))&aSet0(xT))&(![W0]: (~aElementOf0(W0,xT)|aElementOf0(W0,szNzAzT0))))&aSubsetOf0(xT,szNzAzT0))&(aElementOf0(sK8_skl,xS)&~xS=slcrc0))&(aElementOf0(sK9_skl,xT)&~xT=slcrc0)),
% 0.10/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(W0,sK8_skl),skolemize(W0,sK9_skl)],[f203])).
% 0.10/0.42 fof(f206,plain,(
% 0.10/0.42 ![X0]: (~aElementOf0(X0,xS)|aElementOf0(X0,szNzAzT0))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f204])).
% 0.10/0.42 fof(f215,plain,(
% 0.10/0.42 ((((aElementOf0(szmzizndt0(xS),xS)&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(szmzizndt0(xS),W0))))&aElementOf0(szmzizndt0(xS),xT))&aElementOf0(szmzizndt0(xT),xT))&(![W0]: (~aElementOf0(W0,xT)|sdtlseqdt0(szmzizndt0(xT),W0))))&aElementOf0(szmzizndt0(xT),xS)),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f50])).
% 0.10/0.42 fof(f218,plain,(
% 0.10/0.42 aElementOf0(szmzizndt0(xS),xT)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f215])).
% 0.10/0.42 fof(f220,plain,(
% 0.10/0.42 ![X0]: (~aElementOf0(X0,xT)|sdtlseqdt0(szmzizndt0(xT),X0))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f215])).
% 0.10/0.42 fof(f221,plain,(
% 0.10/0.42 aElementOf0(szmzizndt0(xT),xS)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f215])).
% 0.10/0.42 fof(f222,plain,(
% 0.10/0.42 ((aElementOf0(szmzizndt0(xS),xS)&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(szmzizndt0(xS),W0))))&((?[W0]: (aElementOf0(W0,xT)&~sdtlseqdt0(szmzizndt0(xS),W0)))&~szmzizndt0(xS)=szmzizndt0(xT)))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.10/0.42 fof(f223,plain,(
% 0.10/0.42 (aElementOf0(szmzizndt0(xS),xS)&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(szmzizndt0(xS),W0))))&((aElementOf0(sK10_skl,xT)&~sdtlseqdt0(szmzizndt0(xS),sK10_skl))&~szmzizndt0(xS)=szmzizndt0(xT))),
% 0.10/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W0,sK10_skl)],[f222])).
% 0.10/0.43 fof(f224,plain,(
% 0.10/0.43 aElementOf0(szmzizndt0(xS),xS)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f223])).
% 0.10/0.43 fof(f225,plain,(
% 0.10/0.43 ![X0]: (~aElementOf0(X0,xS)|sdtlseqdt0(szmzizndt0(xS),X0))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f223])).
% 0.10/0.43 fof(f228,plain,(
% 0.10/0.43 ~szmzizndt0(xS)=szmzizndt0(xT)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f223])).
% 0.10/0.43 fof(f254,plain,(
% 0.10/0.43 sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))),
% 0.10/0.43 inference(resolution,[status(thm)],[f221,f225])).
% 0.10/0.43 fof(f255,plain,(
% 0.10/0.43 aElementOf0(szmzizndt0(xT),szNzAzT0)),
% 0.10/0.43 inference(resolution,[status(thm)],[f206,f221])).
% 0.10/0.43 fof(f256,plain,(
% 0.10/0.43 aElementOf0(szmzizndt0(xS),szNzAzT0)),
% 0.10/0.43 inference(resolution,[status(thm)],[f206,f224])).
% 0.10/0.43 fof(f300,plain,(
% 0.10/0.43 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,szmzizndt0(xS))|~sdtlseqdt0(szmzizndt0(xS),X0)|X0=szmzizndt0(xS))),
% 0.10/0.43 inference(resolution,[status(thm)],[f256,f158])).
% 0.10/0.43 fof(f303,plain,(
% 0.10/0.43 ~aElementOf0(szmzizndt0(xT),szNzAzT0)|~sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))|szmzizndt0(xT)=szmzizndt0(xS)),
% 0.10/0.43 inference(resolution,[status(thm)],[f300,f254])).
% 0.10/0.43 fof(f306,plain,(
% 0.10/0.43 ~sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))|szmzizndt0(xT)=szmzizndt0(xS)),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f303,f255])).
% 0.10/0.43 fof(f307,plain,(
% 0.10/0.43 ~sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f306,f228])).
% 0.10/0.43 fof(f417,plain,(
% 0.10/0.43 sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))),
% 0.10/0.43 inference(resolution,[status(thm)],[f220,f218])).
% 0.10/0.43 fof(f419,plain,(
% 0.10/0.43 $false),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f417,f307])).
% 0.10/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.066562 seconds
% 0.10/0.45 % CPU time: 0.264272 seconds
% 0.10/0.45 % Total memory used: 86.509 MB
% 0.10/0.45 % Net memory used: 86.224 MB
%------------------------------------------------------------------------------