TSTP Solution File: NUM624+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM624+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:29:59 EDT 2023
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM624+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:03:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % Drodi V3.5.1
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.41 fof(f10,definition,(
% 0.19/0.41 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f23,axiom,(
% 0.19/0.41 ( aSet0(szNzAzT0)& isCountable0(szNzAzT0) ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f35,axiom,(
% 0.19/0.41 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f101,hypothesis,(
% 0.19/0.41 ( (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,szNzAzT0) ))& aSubsetOf0(xQ,szNzAzT0) ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f103,hypothesis,(
% 0.19/0.41 ( aElementOf0(xp,xQ)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(xp,W0) ))& xp = szmzizndt0(xQ) ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f113,hypothesis,(
% 0.19/0.41 ( aElement0(xx)& aElementOf0(xx,xQ)& xx != szmzizndt0(xQ)& aElementOf0(xx,xP) ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f114,hypothesis,(
% 0.19/0.41 ( aElementOf0(xx,szNzAzT0)& (? [W0] :( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W0) = xx ) )) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f116,hypothesis,(
% 0.19/0.41 (! [W0] :( aElementOf0(W0,sdtlpdtrp0(xN,xm))=> sdtlseqdt0(xx,W0) ) )),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f119,hypothesis,(
% 0.19/0.41 ( aElementOf0(xp,sdtlpdtrp0(xN,xm))& aElementOf0(xx,xQ) ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f121,conjecture,(
% 0.19/0.41 xp = xx ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f122,negated_conjecture,(
% 0.19/0.41 ~(xp = xx )),
% 0.19/0.41 inference(negated_conjecture,[status(cth)],[f121])).
% 0.19/0.41 fof(f147,plain,(
% 0.19/0.41 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.19/0.41 fof(f148,plain,(
% 0.19/0.41 ![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))))))))),
% 0.19/0.41 inference(NNF_transformation,[status(esa)],[f147])).
% 0.19/0.41 fof(f149,plain,(
% 0.19/0.41 ![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))))))))),
% 0.19/0.41 inference(miniscoping,[status(esa)],[f148])).
% 0.19/0.41 fof(f150,plain,(
% 0.19/0.41 ![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)))))))),
% 0.19/0.41 inference(skolemization,[status(esa)],[f149])).
% 0.19/0.41 fof(f152,plain,(
% 0.19/0.41 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f150])).
% 0.19/0.41 fof(f199,plain,(
% 0.19/0.41 aSet0(szNzAzT0)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.41 fof(f227,plain,(
% 0.19/0.41 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.19/0.41 fof(f228,plain,(
% 0.19/0.41 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f227])).
% 0.19/0.41 fof(f621,plain,(
% 0.19/0.41 (![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,szNzAzT0)))&aSubsetOf0(xQ,szNzAzT0)),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f101])).
% 0.19/0.41 fof(f623,plain,(
% 0.19/0.41 aSubsetOf0(xQ,szNzAzT0)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f621])).
% 0.19/0.41 fof(f630,plain,(
% 0.19/0.41 (aElementOf0(xp,xQ)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(xp,W0))))&xp=szmzizndt0(xQ)),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f103])).
% 0.19/0.41 fof(f631,plain,(
% 0.19/0.41 aElementOf0(xp,xQ)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f630])).
% 0.19/0.41 fof(f632,plain,(
% 0.19/0.41 ![X0]: (~aElementOf0(X0,xQ)|sdtlseqdt0(xp,X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f630])).
% 0.19/0.41 fof(f663,plain,(
% 0.19/0.41 aElementOf0(xx,xQ)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f113])).
% 0.19/0.41 fof(f666,plain,(
% 0.19/0.41 aElementOf0(xx,szNzAzT0)&(aElementOf0(sk0_38,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,sk0_38)=xx)),
% 0.19/0.41 inference(skolemization,[status(esa)],[f114])).
% 0.19/0.41 fof(f667,plain,(
% 0.19/0.41 aElementOf0(xx,szNzAzT0)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f666])).
% 0.19/0.41 fof(f672,plain,(
% 0.19/0.41 ![W0]: (~aElementOf0(W0,sdtlpdtrp0(xN,xm))|sdtlseqdt0(xx,W0))),
% 0.19/0.41 inference(pre_NNF_transformation,[status(esa)],[f116])).
% 0.19/0.41 fof(f673,plain,(
% 0.19/0.41 ![X0]: (~aElementOf0(X0,sdtlpdtrp0(xN,xm))|sdtlseqdt0(xx,X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f672])).
% 0.19/0.41 fof(f682,plain,(
% 0.19/0.41 aElementOf0(xp,sdtlpdtrp0(xN,xm))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f119])).
% 0.19/0.41 fof(f690,plain,(
% 0.19/0.41 ~xp=xx),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f122])).
% 0.19/0.41 fof(f857,plain,(
% 0.19/0.41 sdtlseqdt0(xp,xx)),
% 0.19/0.41 inference(resolution,[status(thm)],[f663,f632])).
% 0.19/0.41 fof(f859,plain,(
% 0.19/0.41 sdtlseqdt0(xx,xp)),
% 0.19/0.41 inference(resolution,[status(thm)],[f673,f682])).
% 0.19/0.41 fof(f860,plain,(
% 0.19/0.41 spl0_0 <=> aSet0(szNzAzT0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f862,plain,(
% 0.19/0.41 ~aSet0(szNzAzT0)|spl0_0),
% 0.19/0.41 inference(component_clause,[status(thm)],[f860])).
% 0.19/0.41 fof(f888,plain,(
% 0.19/0.41 $false|spl0_0),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f862,f199])).
% 0.19/0.41 fof(f889,plain,(
% 0.19/0.41 spl0_0),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f888])).
% 0.19/0.41 fof(f1032,plain,(
% 0.19/0.41 spl0_30 <=> ~aElementOf0(X0,xQ)|aElementOf0(X0,szNzAzT0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f1033,plain,(
% 0.19/0.41 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,szNzAzT0)|~spl0_30)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1032])).
% 0.19/0.41 fof(f1035,plain,(
% 0.19/0.41 ![X0]: (~aSet0(szNzAzT0)|~aElementOf0(X0,xQ)|aElementOf0(X0,szNzAzT0))),
% 0.19/0.41 inference(resolution,[status(thm)],[f623,f152])).
% 0.19/0.41 fof(f1036,plain,(
% 0.19/0.41 ~spl0_0|spl0_30),
% 0.19/0.41 inference(split_clause,[status(thm)],[f1035,f860,f1032])).
% 0.19/0.41 fof(f1353,plain,(
% 0.19/0.41 aElementOf0(xp,szNzAzT0)|~spl0_30),
% 0.19/0.41 inference(resolution,[status(thm)],[f1033,f631])).
% 0.19/0.41 fof(f3042,plain,(
% 0.19/0.41 spl0_328 <=> aElementOf0(xx,szNzAzT0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f3044,plain,(
% 0.19/0.41 ~aElementOf0(xx,szNzAzT0)|spl0_328),
% 0.19/0.41 inference(component_clause,[status(thm)],[f3042])).
% 0.19/0.41 fof(f3053,plain,(
% 0.19/0.41 spl0_331 <=> aElementOf0(xp,szNzAzT0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f3055,plain,(
% 0.19/0.41 ~aElementOf0(xp,szNzAzT0)|spl0_331),
% 0.19/0.41 inference(component_clause,[status(thm)],[f3053])).
% 0.19/0.41 fof(f3168,plain,(
% 0.19/0.41 spl0_358 <=> xx=xp),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f3169,plain,(
% 0.19/0.41 xx=xp|~spl0_358),
% 0.19/0.41 inference(component_clause,[status(thm)],[f3168])).
% 0.19/0.41 fof(f3212,plain,(
% 0.19/0.41 spl0_368 <=> sdtlseqdt0(xx,xp)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f3214,plain,(
% 0.19/0.41 ~sdtlseqdt0(xx,xp)|spl0_368),
% 0.19/0.41 inference(component_clause,[status(thm)],[f3212])).
% 0.19/0.41 fof(f3215,plain,(
% 0.19/0.41 ~aElementOf0(xp,szNzAzT0)|~aElementOf0(xx,szNzAzT0)|~sdtlseqdt0(xx,xp)|xp=xx),
% 0.19/0.41 inference(resolution,[status(thm)],[f228,f857])).
% 0.19/0.41 fof(f3216,plain,(
% 0.19/0.41 ~spl0_331|~spl0_328|~spl0_368|spl0_358),
% 0.19/0.41 inference(split_clause,[status(thm)],[f3215,f3053,f3042,f3212,f3168])).
% 0.19/0.41 fof(f3297,plain,(
% 0.19/0.41 $false|spl0_368),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f3214,f859])).
% 0.19/0.41 fof(f3298,plain,(
% 0.19/0.41 spl0_368),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f3297])).
% 0.19/0.41 fof(f3309,plain,(
% 0.19/0.41 $false|spl0_328),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f3044,f667])).
% 0.19/0.41 fof(f3310,plain,(
% 0.19/0.41 spl0_328),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f3309])).
% 0.19/0.41 fof(f3311,plain,(
% 0.19/0.41 $false|~spl0_30|spl0_331),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f3055,f1353])).
% 0.19/0.41 fof(f3312,plain,(
% 0.19/0.41 ~spl0_30|spl0_331),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f3311])).
% 0.19/0.41 fof(f3314,plain,(
% 0.19/0.41 $false|~spl0_358),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f3169,f690])).
% 0.19/0.41 fof(f3315,plain,(
% 0.19/0.41 ~spl0_358),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f3314])).
% 0.19/0.41 fof(f3316,plain,(
% 0.19/0.41 $false),
% 0.19/0.41 inference(sat_refutation,[status(thm)],[f889,f1036,f3216,f3298,f3310,f3312,f3315])).
% 0.19/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.43 % Elapsed time: 0.084995 seconds
% 0.19/0.43 % CPU time: 0.386352 seconds
% 0.19/0.43 % Memory used: 44.282 MB
%------------------------------------------------------------------------------