TSTP Solution File: LAT381+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:17:55 EDT 2023
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n001.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:57:00 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f3,axiom,(
% 0.10/0.34 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f8,axiom,(
% 0.10/0.34 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f13,definition,(
% 0.10/0.34 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)=> (! [W2] :( aSupremumOfIn0(W2,W1,W0)<=> ( aElementOf0(W2,W0)& aUpperBoundOfIn0(W2,W1,W0)& (! [W3] :( aUpperBoundOfIn0(W3,W1,W0)=> sdtlseqdt0(W2,W3) ) )) ) )) )) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f14,hypothesis,(
% 0.10/0.34 aSet0(xT) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f15,hypothesis,(
% 0.10/0.34 aSubsetOf0(xS,xT) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f16,hypothesis,(
% 0.10/0.34 ( aSupremumOfIn0(xu,xS,xT)& aSupremumOfIn0(xv,xS,xT) ) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f17,conjecture,(
% 0.10/0.34 xu = xv ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f18,negated_conjecture,(
% 0.10/0.34 ~(xu = xv )),
% 0.10/0.34 inference(negated_conjecture,[status(cth)],[f17])).
% 0.10/0.34 fof(f25,plain,(
% 0.10/0.34 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.10/0.34 fof(f26,plain,(
% 0.10/0.34 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.10/0.34 fof(f44,plain,(
% 0.10/0.34 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.10/0.34 fof(f45,plain,(
% 0.10/0.34 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f44])).
% 0.10/0.34 fof(f73,plain,(
% 0.10/0.34 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|(![W2]: (aSupremumOfIn0(W2,W1,W0)<=>((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]: (~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3)))))))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.10/0.34 fof(f74,plain,(
% 0.10/0.34 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|(![W2]: ((~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]: (~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3)))))&(aSupremumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(?[W3]: (aUpperBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W2,W3))))))))))),
% 0.10/0.34 inference(NNF_transformation,[status(esa)],[f73])).
% 0.10/0.34 fof(f75,plain,(
% 0.10/0.34 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|((![W2]: (~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]: (~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3))))))&(![W2]: (aSupremumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(?[W3]: (aUpperBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W2,W3))))))))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f74])).
% 0.10/0.34 fof(f76,plain,(
% 0.10/0.34 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|((![W2]: (~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]: (~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3))))))&(![W2]: (aSupremumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(aUpperBoundOfIn0(sk0_5(W2,W1,W0),W1,W0)&~sdtlseqdt0(W2,sk0_5(W2,W1,W0))))))))))),
% 0.10/0.34 inference(skolemization,[status(esa)],[f75])).
% 0.10/0.34 fof(f77,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aSupremumOfIn0(X2,X1,X0)|aElementOf0(X2,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f76])).
% 0.10/0.34 fof(f78,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aSupremumOfIn0(X2,X1,X0)|aUpperBoundOfIn0(X2,X1,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f76])).
% 0.10/0.34 fof(f79,plain,(
% 0.10/0.34 ![X0,X1,X2,X3]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aSupremumOfIn0(X2,X1,X0)|~aUpperBoundOfIn0(X3,X1,X0)|sdtlseqdt0(X2,X3))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f76])).
% 0.10/0.34 fof(f82,plain,(
% 0.10/0.34 aSet0(xT)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.10/0.34 fof(f83,plain,(
% 0.10/0.34 aSubsetOf0(xS,xT)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.36 fof(f84,plain,(
% 0.15/0.36 aSupremumOfIn0(xu,xS,xT)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.36 fof(f85,plain,(
% 0.15/0.36 aSupremumOfIn0(xv,xS,xT)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.36 fof(f86,plain,(
% 0.15/0.36 ~xu=xv),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.36 fof(f89,plain,(
% 0.15/0.36 spl0_0 <=> aSet0(xT)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f91,plain,(
% 0.15/0.36 ~aSet0(xT)|spl0_0),
% 0.15/0.36 inference(component_clause,[status(thm)],[f89])).
% 0.15/0.36 fof(f92,plain,(
% 0.15/0.36 spl0_1 <=> aSubsetOf0(xS,xT)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f94,plain,(
% 0.15/0.36 ~aSubsetOf0(xS,xT)|spl0_1),
% 0.15/0.36 inference(component_clause,[status(thm)],[f92])).
% 0.15/0.36 fof(f95,plain,(
% 0.15/0.36 spl0_2 <=> aElementOf0(xv,xT)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f96,plain,(
% 0.15/0.36 aElementOf0(xv,xT)|~spl0_2),
% 0.15/0.36 inference(component_clause,[status(thm)],[f95])).
% 0.15/0.36 fof(f98,plain,(
% 0.15/0.36 ~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xv,xT)),
% 0.15/0.36 inference(resolution,[status(thm)],[f77,f85])).
% 0.15/0.36 fof(f99,plain,(
% 0.15/0.36 ~spl0_0|~spl0_1|spl0_2),
% 0.15/0.36 inference(split_clause,[status(thm)],[f98,f89,f92,f95])).
% 0.15/0.36 fof(f100,plain,(
% 0.15/0.36 spl0_3 <=> aElementOf0(xu,xT)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f101,plain,(
% 0.15/0.36 aElementOf0(xu,xT)|~spl0_3),
% 0.15/0.36 inference(component_clause,[status(thm)],[f100])).
% 0.15/0.36 fof(f103,plain,(
% 0.15/0.36 ~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xu,xT)),
% 0.15/0.36 inference(resolution,[status(thm)],[f77,f84])).
% 0.15/0.36 fof(f104,plain,(
% 0.15/0.36 ~spl0_0|~spl0_1|spl0_3),
% 0.15/0.36 inference(split_clause,[status(thm)],[f103,f89,f92,f100])).
% 0.15/0.36 fof(f122,plain,(
% 0.15/0.36 spl0_6 <=> aUpperBoundOfIn0(xv,xS,xT)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f123,plain,(
% 0.15/0.36 aUpperBoundOfIn0(xv,xS,xT)|~spl0_6),
% 0.15/0.36 inference(component_clause,[status(thm)],[f122])).
% 0.15/0.36 fof(f125,plain,(
% 0.15/0.36 ~aSet0(xT)|~aSubsetOf0(xS,xT)|aUpperBoundOfIn0(xv,xS,xT)),
% 0.15/0.36 inference(resolution,[status(thm)],[f78,f85])).
% 0.15/0.36 fof(f126,plain,(
% 0.15/0.36 ~spl0_0|~spl0_1|spl0_6),
% 0.15/0.36 inference(split_clause,[status(thm)],[f125,f89,f92,f122])).
% 0.15/0.36 fof(f127,plain,(
% 0.15/0.36 spl0_7 <=> aUpperBoundOfIn0(xu,xS,xT)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f128,plain,(
% 0.15/0.36 aUpperBoundOfIn0(xu,xS,xT)|~spl0_7),
% 0.15/0.36 inference(component_clause,[status(thm)],[f127])).
% 0.15/0.36 fof(f130,plain,(
% 0.15/0.36 ~aSet0(xT)|~aSubsetOf0(xS,xT)|aUpperBoundOfIn0(xu,xS,xT)),
% 0.15/0.36 inference(resolution,[status(thm)],[f78,f84])).
% 0.15/0.36 fof(f131,plain,(
% 0.15/0.36 ~spl0_0|~spl0_1|spl0_7),
% 0.15/0.36 inference(split_clause,[status(thm)],[f130,f89,f92,f127])).
% 0.15/0.36 fof(f132,plain,(
% 0.15/0.36 spl0_8 <=> ~aUpperBoundOfIn0(X0,xS,xT)|sdtlseqdt0(xv,X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f133,plain,(
% 0.15/0.36 ![X0]: (~aUpperBoundOfIn0(X0,xS,xT)|sdtlseqdt0(xv,X0)|~spl0_8)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f132])).
% 0.15/0.36 fof(f135,plain,(
% 0.15/0.36 ![X0]: (~aSet0(xT)|~aSubsetOf0(xS,xT)|~aUpperBoundOfIn0(X0,xS,xT)|sdtlseqdt0(xv,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f79,f85])).
% 0.15/0.36 fof(f136,plain,(
% 0.15/0.36 ~spl0_0|~spl0_1|spl0_8),
% 0.15/0.36 inference(split_clause,[status(thm)],[f135,f89,f92,f132])).
% 0.15/0.36 fof(f137,plain,(
% 0.15/0.36 spl0_9 <=> ~aUpperBoundOfIn0(X0,xS,xT)|sdtlseqdt0(xu,X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f138,plain,(
% 0.15/0.36 ![X0]: (~aUpperBoundOfIn0(X0,xS,xT)|sdtlseqdt0(xu,X0)|~spl0_9)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f137])).
% 0.15/0.36 fof(f140,plain,(
% 0.15/0.36 ![X0]: (~aSet0(xT)|~aSubsetOf0(xS,xT)|~aUpperBoundOfIn0(X0,xS,xT)|sdtlseqdt0(xu,X0))),
% 0.15/0.36 inference(resolution,[status(thm)],[f79,f84])).
% 0.15/0.36 fof(f141,plain,(
% 0.15/0.36 ~spl0_0|~spl0_1|spl0_9),
% 0.15/0.36 inference(split_clause,[status(thm)],[f140,f89,f92,f137])).
% 0.15/0.36 fof(f152,plain,(
% 0.15/0.36 $false|spl0_0),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f91,f82])).
% 0.15/0.36 fof(f153,plain,(
% 0.15/0.36 spl0_0),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f152])).
% 0.15/0.36 fof(f154,plain,(
% 0.15/0.36 $false|spl0_1),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f94,f83])).
% 0.15/0.36 fof(f155,plain,(
% 0.15/0.36 spl0_1),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f154])).
% 0.15/0.36 fof(f183,plain,(
% 0.15/0.36 spl0_15 <=> aElement0(xv)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f186,plain,(
% 0.15/0.36 ~aSet0(xT)|aElement0(xv)|~spl0_2),
% 0.15/0.36 inference(resolution,[status(thm)],[f96,f26])).
% 0.15/0.36 fof(f187,plain,(
% 0.15/0.36 ~spl0_0|spl0_15|~spl0_2),
% 0.15/0.36 inference(split_clause,[status(thm)],[f186,f89,f183,f95])).
% 0.15/0.36 fof(f190,plain,(
% 0.15/0.36 spl0_16 <=> aElement0(xu)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f193,plain,(
% 0.15/0.36 ~aSet0(xT)|aElement0(xu)|~spl0_3),
% 0.15/0.36 inference(resolution,[status(thm)],[f101,f26])).
% 0.15/0.36 fof(f194,plain,(
% 0.15/0.36 ~spl0_0|spl0_16|~spl0_3),
% 0.15/0.36 inference(split_clause,[status(thm)],[f193,f89,f190,f100])).
% 0.15/0.36 fof(f251,plain,(
% 0.15/0.36 sdtlseqdt0(xv,xu)|~spl0_8|~spl0_7),
% 0.15/0.36 inference(resolution,[status(thm)],[f133,f128])).
% 0.15/0.36 fof(f258,plain,(
% 0.15/0.36 spl0_28 <=> sdtlseqdt0(xu,xv)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f260,plain,(
% 0.15/0.36 ~sdtlseqdt0(xu,xv)|spl0_28),
% 0.15/0.36 inference(component_clause,[status(thm)],[f258])).
% 0.15/0.36 fof(f261,plain,(
% 0.15/0.36 spl0_29 <=> xu=xv),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f262,plain,(
% 0.15/0.36 xu=xv|~spl0_29),
% 0.15/0.36 inference(component_clause,[status(thm)],[f261])).
% 0.15/0.36 fof(f264,plain,(
% 0.15/0.36 ~aElement0(xu)|~aElement0(xv)|~sdtlseqdt0(xu,xv)|xu=xv|~spl0_8|~spl0_7),
% 0.15/0.36 inference(resolution,[status(thm)],[f251,f45])).
% 0.15/0.36 fof(f265,plain,(
% 0.15/0.36 ~spl0_16|~spl0_15|~spl0_28|spl0_29|~spl0_8|~spl0_7),
% 0.15/0.36 inference(split_clause,[status(thm)],[f264,f190,f183,f258,f261,f132,f127])).
% 0.15/0.36 fof(f282,plain,(
% 0.15/0.36 sdtlseqdt0(xu,xv)|~spl0_9|~spl0_6),
% 0.15/0.36 inference(resolution,[status(thm)],[f138,f123])).
% 0.15/0.36 fof(f283,plain,(
% 0.15/0.36 $false|spl0_28|~spl0_9|~spl0_6),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f282,f260])).
% 0.15/0.36 fof(f284,plain,(
% 0.15/0.36 spl0_28|~spl0_9|~spl0_6),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f283])).
% 0.15/0.36 fof(f285,plain,(
% 0.15/0.36 $false|~spl0_29),
% 0.15/0.36 inference(forward_subsumption_resolution,[status(thm)],[f262,f86])).
% 0.15/0.36 fof(f286,plain,(
% 0.15/0.36 ~spl0_29),
% 0.15/0.36 inference(contradiction_clause,[status(thm)],[f285])).
% 0.15/0.36 fof(f287,plain,(
% 0.15/0.36 $false),
% 0.15/0.36 inference(sat_refutation,[status(thm)],[f99,f104,f126,f131,f136,f141,f153,f155,f187,f194,f265,f284,f286])).
% 0.15/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.58 % Elapsed time: 0.040319 seconds
% 0.16/0.58 % CPU time: 0.022963 seconds
% 0.16/0.58 % Memory used: 3.054 MB
%------------------------------------------------------------------------------