TSTP Solution File: RNG050+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Tue Apr 30 20:37:49 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:40:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f9,axiom,(
% 0.14/0.37 aScalar0(sz0z00) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f20,axiom,(
% 0.14/0.37 (! [W0] :( aScalar0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f35,axiom,(
% 0.14/0.37 (! [W0,W1] :( ( aVector0(W0)& aVector0(W1) )=> ( ( aDimensionOf0(W0) = aDimensionOf0(W1)& aDimensionOf0(W1) = sz00 )=> sdtasasdt0(W0,W1) = sz0z00 ) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f37,hypothesis,(
% 0.14/0.37 aVector0(xs) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f39,conjecture,(
% 0.14/0.37 ( ( aDimensionOf0(xs) != sz00=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f40,negated_conjecture,(
% 0.14/0.37 ~(( ( aDimensionOf0(xs) != sz00=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ) )),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f39])).
% 0.14/0.37 fof(f61,plain,(
% 0.14/0.37 aScalar0(sz0z00)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.37 fof(f94,plain,(
% 0.14/0.37 ![W0]: (~aScalar0(W0)|sdtlseqdt0(W0,W0))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.14/0.37 fof(f95,plain,(
% 0.14/0.37 ![X0]: (~aScalar0(X0)|sdtlseqdt0(X0,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f94])).
% 0.14/0.37 fof(f133,plain,(
% 0.14/0.37 ![W0,W1]: ((~aVector0(W0)|~aVector0(W1))|((~aDimensionOf0(W0)=aDimensionOf0(W1)|~aDimensionOf0(W1)=sz00)|sdtasasdt0(W0,W1)=sz0z00))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.14/0.37 fof(f134,plain,(
% 0.14/0.37 ![X0,X1]: (~aVector0(X0)|~aVector0(X1)|~aDimensionOf0(X0)=aDimensionOf0(X1)|~aDimensionOf0(X1)=sz00|sdtasasdt0(X0,X1)=sz0z00)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f133])).
% 0.14/0.37 fof(f137,plain,(
% 0.14/0.37 aVector0(xs)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f37])).
% 0.14/0.37 fof(f140,plain,(
% 0.14/0.37 ((aDimensionOf0(xs)=sz00|sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)))&~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.14/0.37 fof(f141,plain,(
% 0.14/0.37 aDimensionOf0(xs)=sz00|sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f140])).
% 0.14/0.37 fof(f142,plain,(
% 0.14/0.37 ~sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f140])).
% 0.14/0.37 fof(f158,plain,(
% 0.14/0.37 spl0_4 <=> aDimensionOf0(xs)=sz00),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f159,plain,(
% 0.14/0.37 aDimensionOf0(xs)=sz00|~spl0_4),
% 0.14/0.37 inference(component_clause,[status(thm)],[f158])).
% 0.14/0.37 fof(f161,plain,(
% 0.14/0.37 spl0_5 <=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f162,plain,(
% 0.14/0.37 sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))|~spl0_5),
% 0.14/0.37 inference(component_clause,[status(thm)],[f161])).
% 0.14/0.37 fof(f164,plain,(
% 0.14/0.37 spl0_4|spl0_5),
% 0.14/0.37 inference(split_clause,[status(thm)],[f141,f158,f161])).
% 0.14/0.37 fof(f169,plain,(
% 0.14/0.37 sdtlseqdt0(sz0z00,sz0z00)),
% 0.14/0.37 inference(resolution,[status(thm)],[f95,f61])).
% 0.14/0.37 fof(f178,plain,(
% 0.14/0.37 spl0_8 <=> sdtlseqdt0(sz0z00,sz0z00)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f180,plain,(
% 0.14/0.37 ~sdtlseqdt0(sz0z00,sz0z00)|spl0_8),
% 0.14/0.37 inference(component_clause,[status(thm)],[f178])).
% 0.14/0.37 fof(f185,plain,(
% 0.14/0.37 $false|spl0_8),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f169,f180])).
% 0.14/0.37 fof(f186,plain,(
% 0.14/0.37 spl0_8),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f185])).
% 0.14/0.37 fof(f224,plain,(
% 0.14/0.37 $false|~spl0_5),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f162,f142])).
% 0.14/0.37 fof(f225,plain,(
% 0.14/0.37 ~spl0_5),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f224])).
% 0.14/0.37 fof(f274,plain,(
% 0.14/0.37 spl0_21 <=> sz0z00=sdtasasdt0(xs,xs)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f275,plain,(
% 0.14/0.37 sz0z00=sdtasasdt0(xs,xs)|~spl0_21),
% 0.14/0.37 inference(component_clause,[status(thm)],[f274])).
% 0.14/0.37 fof(f365,plain,(
% 0.14/0.37 spl0_38 <=> ~aVector0(X0)|~aDimensionOf0(X0)=aDimensionOf0(xs)|sdtasasdt0(X0,xs)=sz0z00),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f366,plain,(
% 0.14/0.37 ![X0]: (~aVector0(X0)|~aDimensionOf0(X0)=aDimensionOf0(xs)|sdtasasdt0(X0,xs)=sz0z00|~spl0_38)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f365])).
% 0.14/0.37 fof(f368,plain,(
% 0.14/0.38 ![X0]: (~aVector0(X0)|~aDimensionOf0(X0)=aDimensionOf0(xs)|~aDimensionOf0(xs)=sz00|sdtasasdt0(X0,xs)=sz0z00)),
% 0.14/0.38 inference(resolution,[status(thm)],[f134,f137])).
% 0.14/0.38 fof(f369,plain,(
% 0.14/0.38 spl0_38|~spl0_4),
% 0.14/0.38 inference(split_clause,[status(thm)],[f368,f365,f158])).
% 0.14/0.38 fof(f370,plain,(
% 0.14/0.38 ![X0]: (~aVector0(X0)|~aDimensionOf0(X0)=sz00|sdtasasdt0(X0,xs)=sz0z00|~spl0_4|~spl0_38)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f159,f366])).
% 0.14/0.38 fof(f371,plain,(
% 0.14/0.38 ~aDimensionOf0(xs)=sz00|sdtasasdt0(xs,xs)=sz0z00|~spl0_4|~spl0_38),
% 0.14/0.38 inference(resolution,[status(thm)],[f370,f137])).
% 0.14/0.38 fof(f372,plain,(
% 0.14/0.38 ~spl0_4|spl0_21|~spl0_38),
% 0.14/0.38 inference(split_clause,[status(thm)],[f371,f158,f274,f365])).
% 0.14/0.38 fof(f392,plain,(
% 0.14/0.38 ~sdtlseqdt0(sz0z00,sz0z00)|~spl0_21),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f275,f142])).
% 0.14/0.38 fof(f393,plain,(
% 0.14/0.38 ~spl0_8|~spl0_21),
% 0.14/0.38 inference(split_clause,[status(thm)],[f392,f178,f274])).
% 0.14/0.38 fof(f399,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f164,f186,f225,f369,f372,f393])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.029159 seconds
% 0.14/0.38 % CPU time: 0.099325 seconds
% 0.14/0.38 % Total memory used: 17.091 MB
% 0.14/0.38 % Net memory used: 17.012 MB
%------------------------------------------------------------------------------