%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM606+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 : n006.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 01:43:20 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM606+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
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 02:44:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f10,definition,(
% 0.08/0.40 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f14,axiom,(
% 0.08/0.40 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f23,axiom,(
% 0.08/0.40 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f75,hypothesis,(
% 0.08/0.40 ( aSubsetOf0(xS,szNzAzT0)& isCountable0(xS) ) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f95,hypothesis,(
% 0.08/0.40 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f98,hypothesis,(
% 0.08/0.40 aSubsetOf0(xO,xS) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f100,hypothesis,(
% 0.08/0.40 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f101,conjecture,(
% 0.08/0.40 aSubsetOf0(xQ,szNzAzT0) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f102,negated_conjecture,(
% 0.08/0.40 ~(aSubsetOf0(xQ,szNzAzT0) )),
% 0.08/0.40 inference(negated_conjecture,[status(cth)],[f101])).
% 0.08/0.40 fof(f127,plain,(
% 0.08/0.40 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.08/0.40 fof(f128,plain,(
% 0.08/0.40 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 0.08/0.40 inference(NNF_transformation,[status(thm)],[f127])).
% 0.08/0.40 fof(f129,plain,(
% 0.08/0.40 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f128])).
% 0.08/0.40 fof(f130,plain,(
% 0.08/0.40 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sK1_skl(W1,W0),W1)&~aElementOf0(sK1_skl(W1,W0),W0)))))))),
% 0.08/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W2,sK1_skl(W1,W0))],[f129])).
% 0.08/0.40 fof(f131,plain,(
% 0.08/0.40 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f130])).
% 0.08/0.40 fof(f141,plain,(
% 0.08/0.40 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.08/0.40 fof(f142,plain,(
% 0.08/0.40 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f141])).
% 0.08/0.40 fof(f179,plain,(
% 0.08/0.40 aSet0(szNzAzT0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.40 fof(f362,plain,(
% 0.08/0.40 aSubsetOf0(xS,szNzAzT0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f75])).
% 0.08/0.40 fof(f423,plain,(
% 0.08/0.40 aSet0(xO)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f95])).
% 0.08/0.40 fof(f432,plain,(
% 0.08/0.40 aSubsetOf0(xO,xS)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f98])).
% 0.08/0.40 fof(f434,plain,(
% 0.08/0.40 aSubsetOf0(xQ,xO)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f100])).
% 0.08/0.40 fof(f436,plain,(
% 0.08/0.40 ~aSubsetOf0(xQ,szNzAzT0)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f102])).
% 0.08/0.40 fof(f485,definition,(
% 0.08/0.40 sQ0_spl <=> (aSet0(xO))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f487,plain,(
% 0.08/0.40 ~aSet0(xO)|sQ0_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f485])).
% 0.08/0.40 fof(f514,plain,(
% 0.08/0.40 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f142,f131])).
% 0.08/0.40 fof(f515,plain,(
% 0.08/0.40 ![X0]: (~aSet0(xO)|~aSet0(X0)|~aSubsetOf0(xO,X0)|aSubsetOf0(xQ,X0))),
% 0.08/0.40 inference(resolution,[status(thm)],[f514,f434])).
% 0.08/0.40 fof(f516,definition,(
% 0.08/0.40 ![X0]: (sQ5_spl <=> (~aSet0(X0)|~aSubsetOf0(xO,X0)|aSubsetOf0(xQ,X0)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f517,plain,(
% 0.08/0.40 ![X0]: (~aSet0(X0)|~aSubsetOf0(xO,X0)|aSubsetOf0(xQ,X0)|~sQ5_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f516])).
% 0.08/0.40 fof(f519,plain,(
% 0.08/0.40 ~sQ0_spl|sQ5_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f515,f485,f516])).
% 0.08/0.40 fof(f542,plain,(
% 0.08/0.40 $false|sQ0_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f423,f487])).
% 0.08/0.40 fof(f543,plain,(
% 0.08/0.40 sQ0_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f542])).
% 0.08/0.40 fof(f680,definition,(
% 0.08/0.40 sQ33_spl <=> (aSet0(szNzAzT0))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f682,plain,(
% 0.08/0.40 ~aSet0(szNzAzT0)|sQ33_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f680])).
% 0.08/0.40 fof(f705,plain,(
% 0.08/0.40 $false|sQ33_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f682,f179])).
% 0.08/0.40 fof(f706,plain,(
% 0.08/0.40 sQ33_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f705])).
% 0.08/0.40 fof(f840,plain,(
% 0.08/0.40 ~aSet0(szNzAzT0)|aSet0(xS)),
% 0.08/0.40 inference(resolution,[status(thm)],[f362,f131])).
% 0.08/0.40 fof(f848,definition,(
% 0.08/0.40 sQ62_spl <=> (aSet0(xS))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f863,plain,(
% 0.08/0.40 ~sQ33_spl|sQ62_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f840,f680,f848])).
% 0.08/0.40 fof(f1081,plain,(
% 0.08/0.40 ![X0]: (~aSet0(xS)|~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(xO,X0))),
% 0.08/0.40 inference(resolution,[status(thm)],[f432,f514])).
% 0.08/0.40 fof(f1097,definition,(
% 0.08/0.40 ![X0]: (sQ102_spl <=> (~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(xO,X0)))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f1098,plain,(
% 0.08/0.40 ![X0]: (~aSet0(X0)|~aSubsetOf0(xS,X0)|aSubsetOf0(xO,X0)|~sQ102_spl)),
% 0.08/0.40 inference(component_clause,[status(thm)],[f1097])).
% 0.08/0.40 fof(f1100,plain,(
% 0.08/0.40 ~sQ62_spl|sQ102_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f1081,f848,f1097])).
% 0.08/0.40 fof(f1228,plain,(
% 0.08/0.40 ~aSet0(szNzAzT0)|aSubsetOf0(xO,szNzAzT0)|~sQ102_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f1098,f362])).
% 0.08/0.40 fof(f1233,definition,(
% 0.08/0.40 sQ121_spl <=> (aSubsetOf0(xO,szNzAzT0))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f1234,plain,(
% 0.08/0.40 aSubsetOf0(xO,szNzAzT0)|~sQ121_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f1233])).
% 0.08/0.40 fof(f1236,plain,(
% 0.08/0.40 ~sQ33_spl|sQ121_spl|~sQ102_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f1228,f680,f1233,f1097])).
% 0.08/0.40 fof(f1237,plain,(
% 0.08/0.40 ~aSet0(szNzAzT0)|aSubsetOf0(xQ,szNzAzT0)|~sQ121_spl|~sQ5_spl),
% 0.08/0.40 inference(resolution,[status(thm)],[f1234,f517])).
% 0.08/0.40 fof(f1245,definition,(
% 0.08/0.40 sQ122_spl <=> (aSubsetOf0(xQ,szNzAzT0))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f1246,plain,(
% 0.08/0.40 aSubsetOf0(xQ,szNzAzT0)|~sQ122_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f1245])).
% 0.08/0.40 fof(f1248,plain,(
% 0.08/0.40 ~sQ33_spl|sQ122_spl|~sQ121_spl|~sQ5_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f1237,f680,f1245,f1233,f516])).
% 0.08/0.40 fof(f1267,plain,(
% 0.08/0.40 $false|~sQ122_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1246,f436])).
% 0.08/0.40 fof(f1268,plain,(
% 0.08/0.40 ~sQ122_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f1267])).
% 0.08/0.40 fof(f1269,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(sat_refutation,[status(thm)],[f519,f543,f706,f863,f1100,f1236,f1248,f1268])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.063507 seconds
% 0.13/0.43 % CPU time: 0.177637 seconds
% 0.13/0.43 % Total memory used: 87.179 MB
% 0.13/0.43 % Net memory used: 87.005 MB
%------------------------------------------------------------------------------