TSTP Solution File: NUM610+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM610+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:29:55 EDT 2023
% Result : Theorem 0.16s 0.34s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM610+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 09:50:07 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.33 % Drodi V3.5.1
% 0.16/0.34 % Refutation found
% 0.16/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.34 fof(f10,definition,(
% 0.16/0.34 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34 fof(f14,axiom,(
% 0.16/0.34 (! [W0,W1,W2] :( ( aSet0(W0)& aSet0(W1)& aSet0(W2) )=> ( ( aSubsetOf0(W0,W1)& aSubsetOf0(W1,W2) )=> aSubsetOf0(W0,W2) ) ) )),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34 fof(f23,axiom,(
% 0.16/0.34 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34 fof(f95,hypothesis,(
% 0.16/0.34 ( aSet0(xO)& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34 fof(f100,hypothesis,(
% 0.16/0.34 ( aSubsetOf0(xQ,xO)& xQ != slcrc0 ) ),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34 fof(f101,hypothesis,(
% 0.16/0.34 aSubsetOf0(xQ,szNzAzT0) ),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34 fof(f107,hypothesis,(
% 0.16/0.34 aSubsetOf0(xP,xQ) ),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34 fof(f108,conjecture,(
% 0.16/0.34 aSubsetOf0(xP,xO) ),
% 0.16/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.34 fof(f109,negated_conjecture,(
% 0.16/0.34 ~(aSubsetOf0(xP,xO) )),
% 0.16/0.34 inference(negated_conjecture,[status(cth)],[f108])).
% 0.16/0.34 fof(f134,plain,(
% 0.16/0.34 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.16/0.34 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.16/0.34 fof(f135,plain,(
% 0.16/0.34 ![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))))))))),
% 0.16/0.34 inference(NNF_transformation,[status(esa)],[f134])).
% 0.16/0.34 fof(f136,plain,(
% 0.16/0.34 ![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))))))))),
% 0.16/0.34 inference(miniscoping,[status(esa)],[f135])).
% 0.16/0.34 fof(f137,plain,(
% 0.16/0.34 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 0.16/0.34 inference(skolemization,[status(esa)],[f136])).
% 0.16/0.34 fof(f138,plain,(
% 0.16/0.34 ![X0,X1]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|aSet0(X1))),
% 0.16/0.34 inference(cnf_transformation,[status(esa)],[f137])).
% 0.16/0.34 fof(f148,plain,(
% 0.16/0.34 ![W0,W1,W2]: (((~aSet0(W0)|~aSet0(W1))|~aSet0(W2))|((~aSubsetOf0(W0,W1)|~aSubsetOf0(W1,W2))|aSubsetOf0(W0,W2)))),
% 0.16/0.34 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.16/0.34 fof(f149,plain,(
% 0.16/0.34 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSet0(X2)|~aSubsetOf0(X0,X1)|~aSubsetOf0(X1,X2)|aSubsetOf0(X0,X2))),
% 0.16/0.34 inference(cnf_transformation,[status(esa)],[f148])).
% 0.16/0.34 fof(f186,plain,(
% 0.16/0.34 aSet0(szNzAzT0)),
% 0.16/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.34 fof(f430,plain,(
% 0.16/0.34 aSet0(xO)),
% 0.16/0.34 inference(cnf_transformation,[status(esa)],[f95])).
% 0.16/0.34 fof(f441,plain,(
% 0.16/0.34 aSubsetOf0(xQ,xO)),
% 0.16/0.34 inference(cnf_transformation,[status(esa)],[f100])).
% 0.16/0.34 fof(f443,plain,(
% 0.16/0.34 aSubsetOf0(xQ,szNzAzT0)),
% 0.16/0.34 inference(cnf_transformation,[status(esa)],[f101])).
% 0.16/0.34 fof(f450,plain,(
% 0.16/0.34 aSubsetOf0(xP,xQ)),
% 0.16/0.34 inference(cnf_transformation,[status(esa)],[f107])).
% 0.16/0.34 fof(f451,plain,(
% 0.16/0.34 ~aSubsetOf0(xP,xO)),
% 0.16/0.34 inference(cnf_transformation,[status(esa)],[f109])).
% 0.16/0.34 fof(f499,plain,(
% 0.16/0.34 spl0_0 <=> aSet0(xQ)),
% 0.16/0.34 introduced(split_symbol_definition)).
% 0.16/0.34 fof(f521,plain,(
% 0.16/0.34 ![X0,X1,X2]: (~aSet0(X0)|~aSet0(X1)|~aSubsetOf0(X2,X0)|~aSubsetOf0(X0,X1)|aSubsetOf0(X2,X1))),
% 0.16/0.34 inference(forward_subsumption_resolution,[status(thm)],[f149,f138])).
% 0.16/0.34 fof(f522,plain,(
% 0.16/0.34 spl0_5 <=> ~aSet0(X0)|~aSubsetOf0(xQ,X0)|aSubsetOf0(xP,X0)),
% 0.16/0.34 introduced(split_symbol_definition)).
% 0.16/0.34 fof(f523,plain,(
% 0.16/0.34 ![X0]: (~aSet0(X0)|~aSubsetOf0(xQ,X0)|aSubsetOf0(xP,X0)|~spl0_5)),
% 0.16/0.34 inference(component_clause,[status(thm)],[f522])).
% 0.16/0.34 fof(f525,plain,(
% 0.16/0.34 ![X0]: (~aSet0(xQ)|~aSet0(X0)|~aSubsetOf0(xQ,X0)|aSubsetOf0(xP,X0))),
% 0.17/0.61 inference(resolution,[status(thm)],[f521,f450])).
% 0.17/0.61 fof(f526,plain,(
% 0.17/0.61 ~spl0_0|spl0_5),
% 0.17/0.61 inference(split_clause,[status(thm)],[f525,f499,f522])).
% 0.17/0.61 fof(f527,plain,(
% 0.17/0.61 spl0_6 <=> aSet0(szNzAzT0)),
% 0.17/0.61 introduced(split_symbol_definition)).
% 0.17/0.61 fof(f529,plain,(
% 0.17/0.61 ~aSet0(szNzAzT0)|spl0_6),
% 0.17/0.61 inference(component_clause,[status(thm)],[f527])).
% 0.17/0.61 fof(f535,plain,(
% 0.17/0.61 $false|spl0_6),
% 0.17/0.61 inference(forward_subsumption_resolution,[status(thm)],[f529,f186])).
% 0.17/0.61 fof(f536,plain,(
% 0.17/0.61 spl0_6),
% 0.17/0.61 inference(contradiction_clause,[status(thm)],[f535])).
% 0.17/0.61 fof(f567,plain,(
% 0.17/0.61 spl0_14 <=> aSet0(xO)),
% 0.17/0.61 introduced(split_symbol_definition)).
% 0.17/0.61 fof(f569,plain,(
% 0.17/0.61 ~aSet0(xO)|spl0_14),
% 0.17/0.61 inference(component_clause,[status(thm)],[f567])).
% 0.17/0.61 fof(f590,plain,(
% 0.17/0.61 $false|spl0_14),
% 0.17/0.61 inference(forward_subsumption_resolution,[status(thm)],[f569,f430])).
% 0.17/0.61 fof(f591,plain,(
% 0.17/0.61 spl0_14),
% 0.17/0.61 inference(contradiction_clause,[status(thm)],[f590])).
% 0.17/0.61 fof(f747,plain,(
% 0.17/0.61 ~aSet0(szNzAzT0)|aSet0(xQ)),
% 0.17/0.61 inference(resolution,[status(thm)],[f443,f138])).
% 0.17/0.61 fof(f748,plain,(
% 0.17/0.61 ~spl0_6|spl0_0),
% 0.17/0.61 inference(split_clause,[status(thm)],[f747,f527,f499])).
% 0.17/0.61 fof(f1043,plain,(
% 0.17/0.61 spl0_86 <=> aSubsetOf0(xP,xO)),
% 0.17/0.61 introduced(split_symbol_definition)).
% 0.17/0.61 fof(f1044,plain,(
% 0.17/0.61 aSubsetOf0(xP,xO)|~spl0_86),
% 0.17/0.61 inference(component_clause,[status(thm)],[f1043])).
% 0.17/0.61 fof(f1046,plain,(
% 0.17/0.61 ~aSet0(xO)|aSubsetOf0(xP,xO)|~spl0_5),
% 0.17/0.61 inference(resolution,[status(thm)],[f523,f441])).
% 0.17/0.61 fof(f1047,plain,(
% 0.17/0.61 ~spl0_14|spl0_86|~spl0_5),
% 0.17/0.61 inference(split_clause,[status(thm)],[f1046,f567,f1043,f522])).
% 0.17/0.61 fof(f1053,plain,(
% 0.17/0.61 $false|~spl0_86),
% 0.17/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1044,f451])).
% 0.17/0.61 fof(f1054,plain,(
% 0.17/0.61 ~spl0_86),
% 0.17/0.61 inference(contradiction_clause,[status(thm)],[f1053])).
% 0.17/0.61 fof(f1055,plain,(
% 0.17/0.61 $false),
% 0.17/0.61 inference(sat_refutation,[status(thm)],[f526,f536,f591,f748,f1047,f1054])).
% 0.17/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.61 % Elapsed time: 0.064003 seconds
% 0.17/0.61 % CPU time: 0.028132 seconds
% 0.17/0.61 % Memory used: 4.350 MB
%------------------------------------------------------------------------------