%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM574+3 : 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 : n008.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 0.15s 10.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM574+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.37 % Computer : n008.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 02:42:10 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 0.15/10.45 % Refutation found
% 0.15/10.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/10.45 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.45 fof(f24,axiom,(
% 0.15/10.45 aElementOf0(sz00,szNzAzT0) ),
% 0.15/10.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.45 fof(f27,axiom,(
% 0.15/10.45 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ( W0 = sz00| (? [W1] :( aElementOf0(W1,szNzAzT0)& W0 = szszuzczcdt0(W1) ) )) ) )),
% 0.15/10.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.45 fof(f30,axiom,(
% 0.15/10.45 (! [W0] :( aElementOf0(W0,szNzAzT0)=> sdtlseqdt0(sz00,W0) ) )),
% 0.15/10.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.45 fof(f35,axiom,(
% 0.15/10.45 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.15/10.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.45 fof(f83,hypothesis,(
% 0.15/10.45 ( aElementOf0(xj,szNzAzT0)& aElementOf0(xi,szNzAzT0) ) ),
% 0.15/10.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.45 fof(f85,hypothesis,(
% 0.15/10.45 ( ( sdtlseqdt0(xj,xi)& (? [W0] :( aElementOf0(W0,szNzAzT0)& szszuzczcdt0(W0) = xi ) ))=> ( sdtlseqdt0(xj,xi)=> ( (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> aElementOf0(W0,sdtlpdtrp0(xN,xj)) ))& aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ) ),
% 0.15/10.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.45 fof(f86,conjecture,(
% 0.15/10.45 ( sdtlseqdt0(xj,xi)=> ( (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> aElementOf0(W0,sdtlpdtrp0(xN,xj)) ))| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
% 0.15/10.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.45 fof(f87,negated_conjecture,(
% 0.15/10.45 ~(( sdtlseqdt0(xj,xi)=> ( (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xi))=> aElementOf0(W0,sdtlpdtrp0(xN,xj)) ))| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) )),
% 0.15/10.45 inference(negated_conjecture,[status(cth)],[f86])).
% 0.15/10.45 fof(f166,plain,(
% 0.15/10.45 aElementOf0(sz00,szNzAzT0)),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/10.45 fof(f172,plain,(
% 0.15/10.45 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(?[W1]: (aElementOf0(W1,szNzAzT0)&W0=szszuzczcdt0(W1)))))),
% 0.15/10.45 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.15/10.45 fof(f173,plain,(
% 0.15/10.45 ![W0]: (~aElementOf0(W0,szNzAzT0)|(W0=sz00|(aElementOf0(sK4_skl(W0),szNzAzT0)&W0=szszuzczcdt0(sK4_skl(W0)))))),
% 0.15/10.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(W1,sK4_skl(W0))],[f172])).
% 0.15/10.45 fof(f174,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|aElementOf0(sK4_skl(X0),szNzAzT0))),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f173])).
% 0.15/10.45 fof(f175,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|X0=szszuzczcdt0(sK4_skl(X0)))),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f173])).
% 0.15/10.45 fof(f180,plain,(
% 0.15/10.45 ![W0]: (~aElementOf0(W0,szNzAzT0)|sdtlseqdt0(sz00,W0))),
% 0.15/10.45 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.15/10.45 fof(f181,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|sdtlseqdt0(sz00,X0))),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f180])).
% 0.15/10.45 fof(f192,plain,(
% 0.15/10.45 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.15/10.45 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.15/10.45 fof(f193,plain,(
% 0.15/10.45 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/10.45 fof(f408,plain,(
% 0.15/10.45 aElementOf0(xj,szNzAzT0)),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f83])).
% 0.15/10.45 fof(f409,plain,(
% 0.15/10.45 aElementOf0(xi,szNzAzT0)),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f83])).
% 0.15/10.45 fof(f413,plain,(
% 0.15/10.45 (~sdtlseqdt0(xj,xi)|(![W0]: (~aElementOf0(W0,szNzAzT0)|~szszuzczcdt0(W0)=xi)))|(~sdtlseqdt0(xj,xi)|((![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xi))|aElementOf0(W0,sdtlpdtrp0(xN,xj))))&aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),
% 0.15/10.45 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 0.15/10.45 fof(f414,plain,(
% 0.15/10.45 ![X0,X1]: (~sdtlseqdt0(xj,xi)|~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi|~sdtlseqdt0(xj,xi)|~aElementOf0(X1,sdtlpdtrp0(xN,xi))|aElementOf0(X1,sdtlpdtrp0(xN,xj)))),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f413])).
% 0.15/10.45 fof(f416,plain,(
% 0.15/10.45 (sdtlseqdt0(xj,xi)&((?[W0]: (aElementOf0(W0,sdtlpdtrp0(xN,xi))&~aElementOf0(W0,sdtlpdtrp0(xN,xj))))&~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))))),
% 0.15/10.45 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 0.15/10.45 fof(f417,plain,(
% 0.15/10.45 sdtlseqdt0(xj,xi)&((aElementOf0(sK23_skl,sdtlpdtrp0(xN,xi))&~aElementOf0(sK23_skl,sdtlpdtrp0(xN,xj)))&~aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)))),
% 0.15/10.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(W0,sK23_skl)],[f416])).
% 0.15/10.45 fof(f418,plain,(
% 0.15/10.45 sdtlseqdt0(xj,xi)),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f417])).
% 0.15/10.45 fof(f419,plain,(
% 0.15/10.45 aElementOf0(sK23_skl,sdtlpdtrp0(xN,xi))),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f417])).
% 0.15/10.45 fof(f420,plain,(
% 0.15/10.45 ~aElementOf0(sK23_skl,sdtlpdtrp0(xN,xj))),
% 0.15/10.45 inference(cnf_transformation,[status(thm)],[f417])).
% 0.15/10.45 fof(f539,plain,(
% 0.15/10.45 ![X0,X1]: (~sdtlseqdt0(xj,xi)|~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi|~aElementOf0(X1,sdtlpdtrp0(xN,xi))|aElementOf0(X1,sdtlpdtrp0(xN,xj)))),
% 0.15/10.45 inference(duplicate_literals_removal,[status(thm)],[f414])).
% 0.15/10.45 fof(f613,plain,(
% 0.15/10.45 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi|~aElementOf0(X1,sdtlpdtrp0(xN,xi))|aElementOf0(X1,sdtlpdtrp0(xN,xj)))),
% 0.15/10.45 inference(forward_subsumption_resolution,[status(thm)],[f539,f418])).
% 0.15/10.45 fof(f616,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi|aElementOf0(sK23_skl,sdtlpdtrp0(xN,xj)))),
% 0.15/10.45 inference(resolution,[status(thm)],[f613,f419])).
% 0.15/10.45 fof(f617,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=xi)),
% 0.15/10.45 inference(forward_subsumption_resolution,[status(thm)],[f616,f420])).
% 0.15/10.45 fof(f732,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|X0=sz00|~szszuzczcdt0(sK4_skl(X0))=xi)),
% 0.15/10.45 inference(resolution,[status(thm)],[f174,f617])).
% 0.15/10.45 fof(f738,plain,(
% 0.15/10.45 xi=sz00|xi=szszuzczcdt0(sK4_skl(xi))),
% 0.15/10.45 inference(resolution,[status(thm)],[f175,f409])).
% 0.15/10.45 fof(f766,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(X0,sz00)|X0=sz00)),
% 0.15/10.45 inference(resolution,[status(thm)],[f181,f193])).
% 0.15/10.45 fof(f771,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(sz00,szNzAzT0)|~sdtlseqdt0(X0,sz00)|X0=sz00)),
% 0.15/10.45 inference(duplicate_literals_removal,[status(thm)],[f766])).
% 0.15/10.45 fof(f772,plain,(
% 0.15/10.45 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(X0,sz00)|X0=sz00)),
% 0.15/10.45 inference(forward_subsumption_resolution,[status(thm)],[f771,f166])).
% 0.15/10.45 fof(f1241,plain,(
% 0.15/10.45 xi=sz00|~szszuzczcdt0(sK4_skl(xi))=xi),
% 0.15/10.45 inference(resolution,[status(thm)],[f732,f409])).
% 0.15/10.45 fof(f1250,plain,(
% 0.15/10.45 xi=sz00),
% 0.15/10.45 inference(forward_subsumption_resolution,[status(thm)],[f1241,f738])).
% 0.15/10.45 fof(f1280,plain,(
% 0.15/10.45 aElementOf0(sK23_skl,sdtlpdtrp0(xN,sz00))),
% 0.15/10.45 inference(backward_demodulation,[status(thm)],[f1250,f419])).
% 0.15/10.45 fof(f1281,plain,(
% 0.15/10.45 sdtlseqdt0(xj,sz00)),
% 0.15/10.45 inference(backward_demodulation,[status(thm)],[f1250,f418])).
% 0.15/10.45 fof(f1302,plain,(
% 0.15/10.45 ~aElementOf0(xj,szNzAzT0)|xj=sz00),
% 0.15/10.45 inference(resolution,[status(thm)],[f1281,f772])).
% 0.15/10.45 fof(f1309,plain,(
% 0.15/10.45 xj=sz00),
% 0.15/10.45 inference(forward_subsumption_resolution,[status(thm)],[f1302,f408])).
% 0.15/10.45 fof(f1337,plain,(
% 0.15/10.45 ~aElementOf0(sK23_skl,sdtlpdtrp0(xN,sz00))),
% 0.15/10.45 inference(backward_demodulation,[status(thm)],[f1309,f420])).
% 0.15/10.45 fof(f1340,plain,(
% 0.15/10.45 $false),
% 0.15/10.45 inference(forward_subsumption_resolution,[status(thm)],[f1337,f1280])).
% 0.15/10.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.48 % Elapsed time: 0.089985 seconds
% 0.15/10.48 % CPU time: 0.432735 seconds
% 0.15/10.48 % Total memory used: 117.262 MB
% 0.15/10.48 % Net memory used: 116.792 MB
%------------------------------------------------------------------------------