TSTP Solution File: LAT382+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT382+1 : 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 12:17:55 EDT 2023
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT382+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:33:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f3,axiom,(
% 0.12/0.36 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f8,axiom,(
% 0.12/0.36 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f12,definition,(
% 0.12/0.36 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)=> (! [W2] :( aInfimumOfIn0(W2,W1,W0)<=> ( aElementOf0(W2,W0)& aLowerBoundOfIn0(W2,W1,W0)& (! [W3] :( aLowerBoundOfIn0(W3,W1,W0)=> sdtlseqdt0(W3,W2) ) )) ) )) )) )),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f15,hypothesis,(
% 0.12/0.36 aSet0(xT) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f16,hypothesis,(
% 0.12/0.36 aSubsetOf0(xS,xT) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f17,hypothesis,(
% 0.12/0.36 ( aInfimumOfIn0(xu,xS,xT)& aInfimumOfIn0(xv,xS,xT) ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f18,conjecture,(
% 0.12/0.36 xu = xv ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f19,negated_conjecture,(
% 0.12/0.36 ~(xu = xv )),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f18])).
% 0.12/0.36 fof(f26,plain,(
% 0.12/0.36 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.12/0.36 fof(f27,plain,(
% 0.12/0.36 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f26])).
% 0.12/0.36 fof(f45,plain,(
% 0.12/0.36 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.12/0.36 fof(f46,plain,(
% 0.12/0.36 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f45])).
% 0.12/0.36 fof(f65,plain,(
% 0.12/0.36 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|(![W2]: (aInfimumOfIn0(W2,W1,W0)<=>((aElementOf0(W2,W0)&aLowerBoundOfIn0(W2,W1,W0))&(![W3]: (~aLowerBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W3,W2)))))))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.12/0.36 fof(f66,plain,(
% 0.12/0.36 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|(![W2]: ((~aInfimumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aLowerBoundOfIn0(W2,W1,W0))&(![W3]: (~aLowerBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W3,W2)))))&(aInfimumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aLowerBoundOfIn0(W2,W1,W0))|(?[W3]: (aLowerBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W3,W2))))))))))),
% 0.12/0.36 inference(NNF_transformation,[status(esa)],[f65])).
% 0.12/0.36 fof(f67,plain,(
% 0.12/0.36 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|((![W2]: (~aInfimumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aLowerBoundOfIn0(W2,W1,W0))&(![W3]: (~aLowerBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W3,W2))))))&(![W2]: (aInfimumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aLowerBoundOfIn0(W2,W1,W0))|(?[W3]: (aLowerBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W3,W2))))))))))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f66])).
% 0.12/0.36 fof(f68,plain,(
% 0.12/0.36 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|((![W2]: (~aInfimumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aLowerBoundOfIn0(W2,W1,W0))&(![W3]: (~aLowerBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W3,W2))))))&(![W2]: (aInfimumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aLowerBoundOfIn0(W2,W1,W0))|(aLowerBoundOfIn0(sk0_4(W2,W1,W0),W1,W0)&~sdtlseqdt0(sk0_4(W2,W1,W0),W2)))))))))),
% 0.12/0.36 inference(skolemization,[status(esa)],[f67])).
% 0.12/0.36 fof(f69,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aInfimumOfIn0(X2,X1,X0)|aElementOf0(X2,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.12/0.36 fof(f70,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aInfimumOfIn0(X2,X1,X0)|aLowerBoundOfIn0(X2,X1,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.12/0.36 fof(f71,plain,(
% 0.12/0.36 ![X0,X1,X2,X3]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aInfimumOfIn0(X2,X1,X0)|~aLowerBoundOfIn0(X3,X1,X0)|sdtlseqdt0(X3,X2))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.12/0.36 fof(f85,plain,(
% 0.12/0.36 aSet0(xT)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.12/0.36 fof(f86,plain,(
% 0.12/0.36 aSubsetOf0(xS,xT)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.36 fof(f87,plain,(
% 0.12/0.36 aInfimumOfIn0(xu,xS,xT)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.36 fof(f88,plain,(
% 0.12/0.36 aInfimumOfIn0(xv,xS,xT)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.36 fof(f89,plain,(
% 0.12/0.36 ~xu=xv),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.12/0.36 fof(f92,plain,(
% 0.12/0.36 spl0_0 <=> aSet0(xT)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f94,plain,(
% 0.12/0.36 ~aSet0(xT)|spl0_0),
% 0.12/0.36 inference(component_clause,[status(thm)],[f92])).
% 0.12/0.36 fof(f95,plain,(
% 0.12/0.36 spl0_1 <=> aSubsetOf0(xS,xT)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f97,plain,(
% 0.12/0.36 ~aSubsetOf0(xS,xT)|spl0_1),
% 0.12/0.36 inference(component_clause,[status(thm)],[f95])).
% 0.12/0.36 fof(f98,plain,(
% 0.12/0.36 spl0_2 <=> aElementOf0(xv,xT)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f99,plain,(
% 0.12/0.36 aElementOf0(xv,xT)|~spl0_2),
% 0.12/0.36 inference(component_clause,[status(thm)],[f98])).
% 0.12/0.36 fof(f101,plain,(
% 0.12/0.36 ~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xv,xT)),
% 0.12/0.36 inference(resolution,[status(thm)],[f69,f88])).
% 0.12/0.36 fof(f102,plain,(
% 0.12/0.36 ~spl0_0|~spl0_1|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f101,f92,f95,f98])).
% 0.12/0.36 fof(f103,plain,(
% 0.12/0.36 spl0_3 <=> aElementOf0(xu,xT)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f104,plain,(
% 0.12/0.36 aElementOf0(xu,xT)|~spl0_3),
% 0.12/0.36 inference(component_clause,[status(thm)],[f103])).
% 0.12/0.36 fof(f106,plain,(
% 0.12/0.36 ~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xu,xT)),
% 0.12/0.36 inference(resolution,[status(thm)],[f69,f87])).
% 0.12/0.36 fof(f107,plain,(
% 0.12/0.36 ~spl0_0|~spl0_1|spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f106,f92,f95,f103])).
% 0.12/0.36 fof(f125,plain,(
% 0.12/0.36 spl0_6 <=> aLowerBoundOfIn0(xv,xS,xT)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f126,plain,(
% 0.12/0.36 aLowerBoundOfIn0(xv,xS,xT)|~spl0_6),
% 0.12/0.36 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.36 fof(f128,plain,(
% 0.12/0.36 ~aSet0(xT)|~aSubsetOf0(xS,xT)|aLowerBoundOfIn0(xv,xS,xT)),
% 0.12/0.36 inference(resolution,[status(thm)],[f70,f88])).
% 0.12/0.36 fof(f129,plain,(
% 0.12/0.36 ~spl0_0|~spl0_1|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f128,f92,f95,f125])).
% 0.12/0.36 fof(f130,plain,(
% 0.12/0.36 spl0_7 <=> aLowerBoundOfIn0(xu,xS,xT)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f131,plain,(
% 0.12/0.36 aLowerBoundOfIn0(xu,xS,xT)|~spl0_7),
% 0.12/0.36 inference(component_clause,[status(thm)],[f130])).
% 0.12/0.36 fof(f133,plain,(
% 0.12/0.36 ~aSet0(xT)|~aSubsetOf0(xS,xT)|aLowerBoundOfIn0(xu,xS,xT)),
% 0.12/0.36 inference(resolution,[status(thm)],[f70,f87])).
% 0.12/0.36 fof(f134,plain,(
% 0.12/0.36 ~spl0_0|~spl0_1|spl0_7),
% 0.12/0.36 inference(split_clause,[status(thm)],[f133,f92,f95,f130])).
% 0.12/0.36 fof(f135,plain,(
% 0.12/0.36 spl0_8 <=> ~aLowerBoundOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xv)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f136,plain,(
% 0.12/0.36 ![X0]: (~aLowerBoundOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xv)|~spl0_8)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f135])).
% 0.12/0.36 fof(f138,plain,(
% 0.12/0.36 ![X0]: (~aSet0(xT)|~aSubsetOf0(xS,xT)|~aLowerBoundOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xv))),
% 0.12/0.36 inference(resolution,[status(thm)],[f71,f88])).
% 0.12/0.36 fof(f139,plain,(
% 0.12/0.36 ~spl0_0|~spl0_1|spl0_8),
% 0.12/0.36 inference(split_clause,[status(thm)],[f138,f92,f95,f135])).
% 0.12/0.36 fof(f140,plain,(
% 0.12/0.36 spl0_9 <=> ~aLowerBoundOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xu)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f141,plain,(
% 0.12/0.36 ![X0]: (~aLowerBoundOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xu)|~spl0_9)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f140])).
% 0.12/0.36 fof(f143,plain,(
% 0.12/0.36 ![X0]: (~aSet0(xT)|~aSubsetOf0(xS,xT)|~aLowerBoundOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xu))),
% 0.12/0.36 inference(resolution,[status(thm)],[f71,f87])).
% 0.12/0.36 fof(f144,plain,(
% 0.12/0.36 ~spl0_0|~spl0_1|spl0_9),
% 0.12/0.36 inference(split_clause,[status(thm)],[f143,f92,f95,f140])).
% 0.12/0.36 fof(f155,plain,(
% 0.12/0.36 $false|spl0_0),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f94,f85])).
% 0.12/0.36 fof(f156,plain,(
% 0.12/0.36 spl0_0),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f155])).
% 0.12/0.36 fof(f157,plain,(
% 0.12/0.36 $false|spl0_1),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f97,f86])).
% 0.12/0.36 fof(f158,plain,(
% 0.12/0.36 spl0_1),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f157])).
% 0.12/0.36 fof(f174,plain,(
% 0.12/0.36 spl0_13 <=> aElement0(xv)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f177,plain,(
% 0.12/0.36 ~aSet0(xT)|aElement0(xv)|~spl0_2),
% 0.12/0.36 inference(resolution,[status(thm)],[f99,f27])).
% 0.12/0.36 fof(f178,plain,(
% 0.12/0.36 ~spl0_0|spl0_13|~spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f177,f92,f174,f98])).
% 0.12/0.36 fof(f181,plain,(
% 0.12/0.36 spl0_14 <=> aElement0(xu)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f184,plain,(
% 0.12/0.36 ~aSet0(xT)|aElement0(xu)|~spl0_3),
% 0.12/0.36 inference(resolution,[status(thm)],[f104,f27])).
% 0.12/0.36 fof(f185,plain,(
% 0.12/0.36 ~spl0_0|spl0_14|~spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f184,f92,f181,f103])).
% 0.12/0.36 fof(f245,plain,(
% 0.12/0.36 sdtlseqdt0(xu,xv)|~spl0_8|~spl0_7),
% 0.12/0.36 inference(resolution,[status(thm)],[f136,f131])).
% 0.12/0.36 fof(f257,plain,(
% 0.12/0.36 spl0_28 <=> sdtlseqdt0(xv,xu)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f259,plain,(
% 0.12/0.36 ~sdtlseqdt0(xv,xu)|spl0_28),
% 0.12/0.36 inference(component_clause,[status(thm)],[f257])).
% 0.12/0.36 fof(f260,plain,(
% 0.12/0.36 spl0_29 <=> xv=xu),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f261,plain,(
% 0.12/0.36 xv=xu|~spl0_29),
% 0.12/0.36 inference(component_clause,[status(thm)],[f260])).
% 0.12/0.36 fof(f263,plain,(
% 0.12/0.36 ~aElement0(xv)|~aElement0(xu)|~sdtlseqdt0(xv,xu)|xv=xu|~spl0_8|~spl0_7),
% 0.12/0.36 inference(resolution,[status(thm)],[f245,f46])).
% 0.12/0.36 fof(f264,plain,(
% 0.12/0.36 ~spl0_13|~spl0_14|~spl0_28|spl0_29|~spl0_8|~spl0_7),
% 0.12/0.36 inference(split_clause,[status(thm)],[f263,f174,f181,f257,f260,f135,f130])).
% 0.12/0.36 fof(f281,plain,(
% 0.12/0.36 sdtlseqdt0(xv,xu)|~spl0_9|~spl0_6),
% 0.12/0.36 inference(resolution,[status(thm)],[f141,f126])).
% 0.12/0.36 fof(f282,plain,(
% 0.12/0.36 $false|spl0_28|~spl0_9|~spl0_6),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f281,f259])).
% 0.12/0.36 fof(f283,plain,(
% 0.12/0.36 spl0_28|~spl0_9|~spl0_6),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f282])).
% 0.12/0.36 fof(f289,plain,(
% 0.12/0.36 $false|~spl0_29),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f261,f89])).
% 0.12/0.36 fof(f290,plain,(
% 0.12/0.36 ~spl0_29),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f289])).
% 0.12/0.36 fof(f291,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f102,f107,f129,f134,f139,f144,f156,f158,f178,f185,f264,f283,f290])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.59 % Elapsed time: 0.041875 seconds
% 0.18/0.59 % CPU time: 0.049149 seconds
% 0.18/0.59 % Memory used: 6.014 MB
%------------------------------------------------------------------------------