TSTP Solution File: RNG080+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG080+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:37:55 EDT 2024
% Result : Theorem 72.07s 9.44s
% Output : CNFRefutation 72.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG080+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 22:22:42 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 72.07/9.44 % Refutation found
% 72.07/9.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 72.07/9.44 % SZS output start CNFRefutation for theBenchmark
% 72.07/9.44 fof(f20,axiom,(
% 72.07/9.44 (! [W0] :( aScalar0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f30,axiom,(
% 72.07/9.44 (! [W0] :( aVector0(W0)=> aNaturalNumber0(aDimensionOf0(W0)) ) )),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f36,axiom,(
% 72.07/9.44 (! [W0,W1] :( ( aVector0(W0)& aVector0(W1) )=> ( ( aDimensionOf0(W0) = aDimensionOf0(W1)& aDimensionOf0(W1) != sz00 )=> sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ) )),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f38,hypothesis,(
% 72.07/9.44 ( aVector0(xs)& aVector0(xt) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f40,hypothesis,(
% 72.07/9.44 aDimensionOf0(xs) = aDimensionOf0(xt) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f41,hypothesis,(
% 72.07/9.44 aDimensionOf0(xs) != sz00 ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f42,hypothesis,(
% 72.07/9.44 ( aVector0(xp)& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) ))& xp = sziznziztdt0(xs) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f43,hypothesis,(
% 72.07/9.44 ( aVector0(xq)& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) ))& xq = sziznziztdt0(xt) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f44,hypothesis,(
% 72.07/9.44 ( aScalar0(xA)& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f45,hypothesis,(
% 72.07/9.44 ( aScalar0(xB)& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f46,hypothesis,(
% 72.07/9.44 ( aScalar0(xC)& xC = sdtasasdt0(xp,xp) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f47,hypothesis,(
% 72.07/9.44 ( aScalar0(xD)& xD = sdtasasdt0(xq,xq) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f48,hypothesis,(
% 72.07/9.44 ( aScalar0(xE)& xE = sdtasasdt0(xp,xq) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f49,hypothesis,(
% 72.07/9.44 ( aScalar0(xF)& xF = sdtasdt0(xA,xA) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f50,hypothesis,(
% 72.07/9.44 ( aScalar0(xG)& xG = sdtasdt0(xB,xB) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f51,hypothesis,(
% 72.07/9.44 ( aScalar0(xH)& xH = sdtasdt0(xA,xB) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f52,hypothesis,(
% 72.07/9.44 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f54,hypothesis,(
% 72.07/9.44 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f58,hypothesis,(
% 72.07/9.44 sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f59,conjecture,(
% 72.07/9.44 sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
% 72.07/9.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 72.07/9.44 fof(f60,negated_conjecture,(
% 72.07/9.44 ~(sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) )),
% 72.07/9.44 inference(negated_conjecture,[status(cth)],[f59])).
% 72.07/9.44 fof(f114,plain,(
% 72.07/9.44 ![W0]: (~aScalar0(W0)|sdtlseqdt0(W0,W0))),
% 72.07/9.44 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 72.07/9.44 fof(f115,plain,(
% 72.07/9.44 ![X0]: (~aScalar0(X0)|sdtlseqdt0(X0,X0))),
% 72.07/9.44 inference(cnf_transformation,[status(esa)],[f114])).
% 72.07/9.44 fof(f136,plain,(
% 72.07/9.44 ![W0]: (~aVector0(W0)|aNaturalNumber0(aDimensionOf0(W0)))),
% 72.07/9.44 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 72.07/9.44 fof(f137,plain,(
% 72.07/9.44 ![X0]: (~aVector0(X0)|aNaturalNumber0(aDimensionOf0(X0)))),
% 72.07/9.44 inference(cnf_transformation,[status(esa)],[f136])).
% 72.07/9.44 fof(f155,plain,(
% 72.07/9.44 ![W0,W1]: ((~aVector0(W0)|~aVector0(W1))|((~aDimensionOf0(W0)=aDimensionOf0(W1)|aDimensionOf0(W1)=sz00)|sdtasasdt0(W0,W1)=sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1))))))),
% 72.07/9.46 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 72.07/9.46 fof(f156,plain,(
% 72.07/9.46 ![X0,X1]: (~aVector0(X0)|~aVector0(X1)|~aDimensionOf0(X0)=aDimensionOf0(X1)|aDimensionOf0(X1)=sz00|sdtasasdt0(X0,X1)=sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))))),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f155])).
% 72.07/9.46 fof(f159,plain,(
% 72.07/9.46 aVector0(xs)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f38])).
% 72.07/9.46 fof(f160,plain,(
% 72.07/9.46 aVector0(xt)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f38])).
% 72.07/9.46 fof(f163,plain,(
% 72.07/9.46 aDimensionOf0(xs)=aDimensionOf0(xt)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f40])).
% 72.07/9.46 fof(f164,plain,(
% 72.07/9.46 ~aDimensionOf0(xs)=sz00),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f41])).
% 72.07/9.46 fof(f165,plain,(
% 72.07/9.46 ((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&(![W0]: (~aNaturalNumber0(W0)|sdtlbdtrb0(xp,W0)=sdtlbdtrb0(xs,W0))))&xp=sziznziztdt0(xs)),
% 72.07/9.46 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 72.07/9.46 fof(f169,plain,(
% 72.07/9.46 xp=sziznziztdt0(xs)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f165])).
% 72.07/9.46 fof(f170,plain,(
% 72.07/9.46 ((aVector0(xq)&szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt))&(![W0]: (~aNaturalNumber0(W0)|sdtlbdtrb0(xq,W0)=sdtlbdtrb0(xt,W0))))&xq=sziznziztdt0(xt)),
% 72.07/9.46 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 72.07/9.46 fof(f171,plain,(
% 72.07/9.46 aVector0(xq)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f170])).
% 72.07/9.46 fof(f174,plain,(
% 72.07/9.46 xq=sziznziztdt0(xt)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f170])).
% 72.07/9.46 fof(f175,plain,(
% 72.07/9.46 aScalar0(xA)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f44])).
% 72.07/9.46 fof(f176,plain,(
% 72.07/9.46 xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f44])).
% 72.07/9.46 fof(f177,plain,(
% 72.07/9.46 aScalar0(xB)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f45])).
% 72.07/9.46 fof(f178,plain,(
% 72.07/9.46 xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f45])).
% 72.07/9.46 fof(f179,plain,(
% 72.07/9.46 aScalar0(xC)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f46])).
% 72.07/9.46 fof(f180,plain,(
% 72.07/9.46 xC=sdtasasdt0(xp,xp)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f46])).
% 72.07/9.46 fof(f181,plain,(
% 72.07/9.46 aScalar0(xD)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f47])).
% 72.07/9.46 fof(f182,plain,(
% 72.07/9.46 xD=sdtasasdt0(xq,xq)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f47])).
% 72.07/9.46 fof(f184,plain,(
% 72.07/9.46 xE=sdtasasdt0(xp,xq)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f48])).
% 72.07/9.46 fof(f185,plain,(
% 72.07/9.46 aScalar0(xF)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f49])).
% 72.07/9.46 fof(f186,plain,(
% 72.07/9.46 xF=sdtasdt0(xA,xA)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f49])).
% 72.07/9.46 fof(f187,plain,(
% 72.07/9.46 aScalar0(xG)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f50])).
% 72.07/9.46 fof(f188,plain,(
% 72.07/9.46 xG=sdtasdt0(xB,xB)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f50])).
% 72.07/9.46 fof(f190,plain,(
% 72.07/9.46 xH=sdtasdt0(xA,xB)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f51])).
% 72.07/9.46 fof(f191,plain,(
% 72.07/9.46 aScalar0(xR)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f52])).
% 72.07/9.46 fof(f195,plain,(
% 72.07/9.46 aScalar0(xS)),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f54])).
% 72.07/9.46 fof(f201,plain,(
% 72.07/9.46 sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f58])).
% 72.07/9.46 fof(f202,plain,(
% 72.07/9.46 ~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))),
% 72.07/9.46 inference(cnf_transformation,[status(esa)],[f60])).
% 72.07/9.46 fof(f222,plain,(
% 72.07/9.46 xB=sdtlbdtrb0(xt,aDimensionOf0(xs))),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f163,f178])).
% 72.07/9.46 fof(f3630,plain,(
% 72.07/9.46 spl0_192 <=> aVector0(xs)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f3632,plain,(
% 72.07/9.46 ~aVector0(xs)|spl0_192),
% 72.07/9.46 inference(component_clause,[status(thm)],[f3630])).
% 72.07/9.46 fof(f3633,plain,(
% 72.07/9.46 spl0_193 <=> aVector0(xt)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f3635,plain,(
% 72.07/9.46 ~aVector0(xt)|spl0_193),
% 72.07/9.46 inference(component_clause,[status(thm)],[f3633])).
% 72.07/9.46 fof(f3636,plain,(
% 72.07/9.46 spl0_194 <=> aDimensionOf0(xs)=aDimensionOf0(xt)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f3638,plain,(
% 72.07/9.46 ~aDimensionOf0(xs)=aDimensionOf0(xt)|spl0_194),
% 72.07/9.46 inference(component_clause,[status(thm)],[f3636])).
% 72.07/9.46 fof(f3641,plain,(
% 72.07/9.46 spl0_195 <=> aDimensionOf0(xs)=aDimensionOf0(xs)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f3643,plain,(
% 72.07/9.46 ~aDimensionOf0(xs)=aDimensionOf0(xs)|spl0_195),
% 72.07/9.46 inference(component_clause,[status(thm)],[f3641])).
% 72.07/9.46 fof(f3651,plain,(
% 72.07/9.46 $false|spl0_195),
% 72.07/9.46 inference(trivial_equality_resolution,[status(esa)],[f3643])).
% 72.07/9.46 fof(f3652,plain,(
% 72.07/9.46 spl0_195),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f3651])).
% 72.07/9.46 fof(f3657,plain,(
% 72.07/9.46 ~aDimensionOf0(xs)=aDimensionOf0(xs)|spl0_194),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f163,f3638])).
% 72.07/9.46 fof(f3658,plain,(
% 72.07/9.46 $false|spl0_194),
% 72.07/9.46 inference(trivial_equality_resolution,[status(esa)],[f3657])).
% 72.07/9.46 fof(f3659,plain,(
% 72.07/9.46 spl0_194),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f3658])).
% 72.07/9.46 fof(f3660,plain,(
% 72.07/9.46 $false|spl0_193),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f3635,f160])).
% 72.07/9.46 fof(f3661,plain,(
% 72.07/9.46 spl0_193),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f3660])).
% 72.07/9.46 fof(f3662,plain,(
% 72.07/9.46 $false|spl0_192),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f3632,f159])).
% 72.07/9.46 fof(f3663,plain,(
% 72.07/9.46 spl0_192),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f3662])).
% 72.07/9.46 fof(f4570,plain,(
% 72.07/9.46 spl0_236 <=> aNaturalNumber0(aDimensionOf0(xq))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f4572,plain,(
% 72.07/9.46 ~aNaturalNumber0(aDimensionOf0(xq))|spl0_236),
% 72.07/9.46 inference(component_clause,[status(thm)],[f4570])).
% 72.07/9.46 fof(f4601,plain,(
% 72.07/9.46 spl0_241 <=> aDimensionOf0(xt)=sz00),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f4602,plain,(
% 72.07/9.46 aDimensionOf0(xt)=sz00|~spl0_241),
% 72.07/9.46 inference(component_clause,[status(thm)],[f4601])).
% 72.07/9.46 fof(f4609,plain,(
% 72.07/9.46 spl0_243 <=> aDimensionOf0(xs)=sz00),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f4610,plain,(
% 72.07/9.46 aDimensionOf0(xs)=sz00|~spl0_243),
% 72.07/9.46 inference(component_clause,[status(thm)],[f4609])).
% 72.07/9.46 fof(f4617,plain,(
% 72.07/9.46 aDimensionOf0(xs)=sz00|~spl0_241),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f163,f4602])).
% 72.07/9.46 fof(f4618,plain,(
% 72.07/9.46 $false|~spl0_241),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f4617,f164])).
% 72.07/9.46 fof(f4619,plain,(
% 72.07/9.46 ~spl0_241),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f4618])).
% 72.07/9.46 fof(f4620,plain,(
% 72.07/9.46 $false|~spl0_243),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f4610,f164])).
% 72.07/9.46 fof(f4621,plain,(
% 72.07/9.46 ~spl0_243),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f4620])).
% 72.07/9.46 fof(f6776,plain,(
% 72.07/9.46 ~aVector0(xq)|spl0_236),
% 72.07/9.46 inference(resolution,[status(thm)],[f4572,f137])).
% 72.07/9.46 fof(f6777,plain,(
% 72.07/9.46 $false|spl0_236),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f6776,f171])).
% 72.07/9.46 fof(f6778,plain,(
% 72.07/9.46 spl0_236),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f6777])).
% 72.07/9.46 fof(f7626,plain,(
% 72.07/9.46 spl0_406 <=> aScalar0(sdtasasdt0(xp,xp))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f7628,plain,(
% 72.07/9.46 ~aScalar0(sdtasasdt0(xp,xp))|spl0_406),
% 72.07/9.46 inference(component_clause,[status(thm)],[f7626])).
% 72.07/9.46 fof(f7654,plain,(
% 72.07/9.46 spl0_412 <=> aDimensionOf0(xp)=aDimensionOf0(xp)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f7656,plain,(
% 72.07/9.46 ~aDimensionOf0(xp)=aDimensionOf0(xp)|spl0_412),
% 72.07/9.46 inference(component_clause,[status(thm)],[f7654])).
% 72.07/9.46 fof(f7667,plain,(
% 72.07/9.46 $false|spl0_412),
% 72.07/9.46 inference(trivial_equality_resolution,[status(esa)],[f7656])).
% 72.07/9.46 fof(f7668,plain,(
% 72.07/9.46 spl0_412),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f7667])).
% 72.07/9.46 fof(f7669,plain,(
% 72.07/9.46 ~aScalar0(xC)|spl0_406),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f180,f7628])).
% 72.07/9.46 fof(f7670,plain,(
% 72.07/9.46 $false|spl0_406),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f7669,f179])).
% 72.07/9.46 fof(f7671,plain,(
% 72.07/9.46 spl0_406),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f7670])).
% 72.07/9.46 fof(f8387,plain,(
% 72.07/9.46 spl0_468 <=> ~aVector0(X0)|~aDimensionOf0(xt)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xt,X0)=sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0))))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8388,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(xt)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xt,X0)=sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0))))|~spl0_468)),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8387])).
% 72.07/9.46 fof(f8390,plain,(
% 72.07/9.46 ![X0]: (~aVector0(xt)|~aVector0(X0)|~aDimensionOf0(xt)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xt,X0)=sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0)))))),
% 72.07/9.46 inference(paramodulation,[status(thm)],[f174,f156])).
% 72.07/9.46 fof(f8391,plain,(
% 72.07/9.46 ~spl0_193|spl0_468),
% 72.07/9.46 inference(split_clause,[status(thm)],[f8390,f3633,f8387])).
% 72.07/9.46 fof(f8392,plain,(
% 72.07/9.46 spl0_469 <=> ~aVector0(X0)|~aDimensionOf0(xs)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xs,X0)=sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8393,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(xs)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xs,X0)=sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))|~spl0_469)),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8392])).
% 72.07/9.46 fof(f8395,plain,(
% 72.07/9.46 ![X0]: (~aVector0(xs)|~aVector0(X0)|~aDimensionOf0(xs)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xs,X0)=sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0)))))),
% 72.07/9.46 inference(paramodulation,[status(thm)],[f169,f156])).
% 72.07/9.46 fof(f8396,plain,(
% 72.07/9.46 ~spl0_192|spl0_469),
% 72.07/9.46 inference(split_clause,[status(thm)],[f8395,f3630,f8392])).
% 72.07/9.46 fof(f8397,plain,(
% 72.07/9.46 spl0_470 <=> ~aVector0(X0)|~aDimensionOf0(X0)=aDimensionOf0(xt)|sdtasasdt0(X0,xt)=sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xt))))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8398,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(X0)=aDimensionOf0(xt)|sdtasasdt0(X0,xt)=sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xt))))|~spl0_470)),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8397])).
% 72.07/9.46 fof(f8400,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aVector0(xt)|~aDimensionOf0(X0)=aDimensionOf0(xt)|aDimensionOf0(xt)=sz00|sdtasasdt0(X0,xt)=sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xt)))))),
% 72.07/9.46 inference(paramodulation,[status(thm)],[f174,f156])).
% 72.07/9.46 fof(f8401,plain,(
% 72.07/9.46 spl0_470|~spl0_193|spl0_241),
% 72.07/9.46 inference(split_clause,[status(thm)],[f8400,f8397,f3633,f4601])).
% 72.07/9.46 fof(f8417,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(xs)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xt,X0)=sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0))))|~spl0_468)),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f163,f8388])).
% 72.07/9.46 fof(f8418,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(xs)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xt,X0)=sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))|~spl0_468)),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f163,f8417])).
% 72.07/9.46 fof(f8419,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(xs)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xt,X0)=sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(xB,sdtlbdtrb0(X0,aDimensionOf0(X0))))|~spl0_468)),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f222,f8418])).
% 72.07/9.46 fof(f8420,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(X0)=aDimensionOf0(xs)|sdtasasdt0(X0,xt)=sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xt))))|~spl0_470)),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f163,f8398])).
% 72.07/9.46 fof(f8421,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(X0)=aDimensionOf0(xs)|sdtasasdt0(X0,xt)=sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs))))|~spl0_470)),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f163,f8420])).
% 72.07/9.46 fof(f8422,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(X0)=aDimensionOf0(xs)|sdtasasdt0(X0,xt)=sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB))|~spl0_470)),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f222,f8421])).
% 72.07/9.46 fof(f8427,plain,(
% 72.07/9.46 ![X0]: (~aVector0(X0)|~aDimensionOf0(xs)=aDimensionOf0(X0)|aDimensionOf0(X0)=sz00|sdtasasdt0(xs,X0)=sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(xA,sdtlbdtrb0(X0,aDimensionOf0(X0))))|~spl0_469)),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f176,f8393])).
% 72.07/9.46 fof(f8492,plain,(
% 72.07/9.46 spl0_483 <=> aDimensionOf0(xq)=aDimensionOf0(xq)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8494,plain,(
% 72.07/9.46 ~aDimensionOf0(xq)=aDimensionOf0(xq)|spl0_483),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8492])).
% 72.07/9.46 fof(f8513,plain,(
% 72.07/9.46 spl0_488 <=> aScalar0(sdtasasdt0(xq,xq))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8515,plain,(
% 72.07/9.46 ~aScalar0(sdtasasdt0(xq,xq))|spl0_488),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8513])).
% 72.07/9.46 fof(f8556,plain,(
% 72.07/9.46 $false|spl0_483),
% 72.07/9.46 inference(trivial_equality_resolution,[status(esa)],[f8494])).
% 72.07/9.46 fof(f8557,plain,(
% 72.07/9.46 spl0_483),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f8556])).
% 72.07/9.46 fof(f8558,plain,(
% 72.07/9.46 ~aScalar0(xD)|spl0_488),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f182,f8515])).
% 72.07/9.46 fof(f8559,plain,(
% 72.07/9.46 $false|spl0_488),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f8558,f181])).
% 72.07/9.46 fof(f8560,plain,(
% 72.07/9.46 spl0_488),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f8559])).
% 72.07/9.46 fof(f8625,plain,(
% 72.07/9.46 spl0_502 <=> aScalar0(xA)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8627,plain,(
% 72.07/9.46 ~aScalar0(xA)|spl0_502),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8625])).
% 72.07/9.46 fof(f8628,plain,(
% 72.07/9.46 spl0_503 <=> aScalar0(sdtasdt0(xA,xA))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8630,plain,(
% 72.07/9.46 ~aScalar0(sdtasdt0(xA,xA))|spl0_503),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8628])).
% 72.07/9.46 fof(f8684,plain,(
% 72.07/9.46 ~aScalar0(xF)|spl0_503),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f186,f8630])).
% 72.07/9.46 fof(f8685,plain,(
% 72.07/9.46 $false|spl0_503),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f8684,f185])).
% 72.07/9.46 fof(f8686,plain,(
% 72.07/9.46 spl0_503),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f8685])).
% 72.07/9.46 fof(f8687,plain,(
% 72.07/9.46 $false|spl0_502),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f8627,f175])).
% 72.07/9.46 fof(f8688,plain,(
% 72.07/9.46 spl0_502),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f8687])).
% 72.07/9.46 fof(f8690,plain,(
% 72.07/9.46 spl0_515 <=> aScalar0(xB)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8692,plain,(
% 72.07/9.46 ~aScalar0(xB)|spl0_515),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8690])).
% 72.07/9.46 fof(f8693,plain,(
% 72.07/9.46 spl0_516 <=> aScalar0(sdtasdt0(xB,xB))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f8695,plain,(
% 72.07/9.46 ~aScalar0(sdtasdt0(xB,xB))|spl0_516),
% 72.07/9.46 inference(component_clause,[status(thm)],[f8693])).
% 72.07/9.46 fof(f8749,plain,(
% 72.07/9.46 ~aScalar0(xG)|spl0_516),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f188,f8695])).
% 72.07/9.46 fof(f8750,plain,(
% 72.07/9.46 $false|spl0_516),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f8749,f187])).
% 72.07/9.46 fof(f8751,plain,(
% 72.07/9.46 spl0_516),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f8750])).
% 72.07/9.46 fof(f8752,plain,(
% 72.07/9.46 $false|spl0_515),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f8692,f177])).
% 72.07/9.46 fof(f8753,plain,(
% 72.07/9.46 spl0_515),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f8752])).
% 72.07/9.46 fof(f11788,plain,(
% 72.07/9.46 spl0_654 <=> sdtasasdt0(xt,xt)=sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xt))))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f11789,plain,(
% 72.07/9.46 sdtasasdt0(xt,xt)=sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xt))))|~spl0_654),
% 72.07/9.46 inference(component_clause,[status(thm)],[f11788])).
% 72.07/9.46 fof(f11791,plain,(
% 72.07/9.46 ~aVector0(xt)|~aDimensionOf0(xs)=aDimensionOf0(xt)|aDimensionOf0(xt)=sz00|sdtasasdt0(xt,xt)=sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xt))))|~spl0_468),
% 72.07/9.46 inference(paramodulation,[status(thm)],[f174,f8419])).
% 72.07/9.46 fof(f11792,plain,(
% 72.07/9.46 ~spl0_193|~spl0_194|spl0_241|spl0_654|~spl0_468),
% 72.07/9.46 inference(split_clause,[status(thm)],[f11791,f3633,f3636,f4601,f11788,f8387])).
% 72.07/9.46 fof(f11808,plain,(
% 72.07/9.46 sdtasasdt0(xt,xt)=sdtpldt0(xD,sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xt))))|~spl0_654),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f182,f11789])).
% 72.07/9.46 fof(f11809,plain,(
% 72.07/9.46 sdtasasdt0(xt,xt)=sdtpldt0(xD,sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xs))))|~spl0_654),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f163,f11808])).
% 72.07/9.46 fof(f11810,plain,(
% 72.07/9.46 sdtasasdt0(xt,xt)=sdtpldt0(xD,sdtasdt0(xB,xB))|~spl0_654),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f222,f11809])).
% 72.07/9.46 fof(f11811,plain,(
% 72.07/9.46 sdtasasdt0(xt,xt)=sdtpldt0(xD,xG)|~spl0_654),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f188,f11810])).
% 72.07/9.46 fof(f11839,plain,(
% 72.07/9.46 ~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG)))|~spl0_654),
% 72.07/9.46 inference(backward_demodulation,[status(thm)],[f11811,f202])).
% 72.07/9.46 fof(f11991,plain,(
% 72.07/9.46 spl0_665 <=> sdtasasdt0(xs,xt)=sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xB))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f11992,plain,(
% 72.07/9.46 sdtasasdt0(xs,xt)=sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xB))|~spl0_665),
% 72.07/9.46 inference(component_clause,[status(thm)],[f11991])).
% 72.07/9.46 fof(f11994,plain,(
% 72.07/9.46 ~aVector0(xs)|~aDimensionOf0(xs)=aDimensionOf0(xs)|sdtasasdt0(xs,xt)=sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xB))|~spl0_470),
% 72.07/9.46 inference(paramodulation,[status(thm)],[f169,f8422])).
% 72.07/9.46 fof(f11995,plain,(
% 72.07/9.46 ~spl0_192|~spl0_195|spl0_665|~spl0_470),
% 72.07/9.46 inference(split_clause,[status(thm)],[f11994,f3630,f3641,f11991,f8397])).
% 72.07/9.46 fof(f12010,plain,(
% 72.07/9.46 sdtasasdt0(xs,xt)=sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(xA,xB))|~spl0_665),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f176,f11992])).
% 72.07/9.46 fof(f12011,plain,(
% 72.07/9.46 sdtasasdt0(xs,xt)=sdtpldt0(sdtasasdt0(xp,xq),xH)|~spl0_665),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f190,f12010])).
% 72.07/9.46 fof(f13377,plain,(
% 72.07/9.46 sdtasasdt0(xs,xt)=sdtpldt0(xE,xH)|~spl0_665),
% 72.07/9.46 inference(backward_demodulation,[status(thm)],[f184,f12011])).
% 72.07/9.46 fof(f13471,plain,(
% 72.07/9.46 ~sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG)))|~spl0_665|~spl0_654),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f13377,f11839])).
% 72.07/9.46 fof(f13472,plain,(
% 72.07/9.46 ~sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG)))|~spl0_665|~spl0_654),
% 72.07/9.46 inference(forward_demodulation,[status(thm)],[f13377,f13471])).
% 72.07/9.46 fof(f13564,plain,(
% 72.07/9.46 spl0_733 <=> aScalar0(xR)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f13566,plain,(
% 72.07/9.46 ~aScalar0(xR)|spl0_733),
% 72.07/9.46 inference(component_clause,[status(thm)],[f13564])).
% 72.07/9.46 fof(f13567,plain,(
% 72.07/9.46 spl0_734 <=> aScalar0(xS)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f13569,plain,(
% 72.07/9.46 ~aScalar0(xS)|spl0_734),
% 72.07/9.46 inference(component_clause,[status(thm)],[f13567])).
% 72.07/9.46 fof(f13590,plain,(
% 72.07/9.46 $false|spl0_734),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f13569,f195])).
% 72.07/9.46 fof(f13591,plain,(
% 72.07/9.46 spl0_734),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f13590])).
% 72.07/9.46 fof(f13592,plain,(
% 72.07/9.46 $false|spl0_733),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f13566,f191])).
% 72.07/9.46 fof(f13593,plain,(
% 72.07/9.46 spl0_733),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f13592])).
% 72.07/9.46 fof(f14467,plain,(
% 72.07/9.46 spl0_862 <=> sdtlseqdt0(xG,xG)),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f14469,plain,(
% 72.07/9.46 ~sdtlseqdt0(xG,xG)|spl0_862),
% 72.07/9.46 inference(component_clause,[status(thm)],[f14467])).
% 72.07/9.46 fof(f14560,plain,(
% 72.07/9.46 ~aScalar0(xG)|spl0_862),
% 72.07/9.46 inference(resolution,[status(thm)],[f14469,f115])).
% 72.07/9.46 fof(f14561,plain,(
% 72.07/9.46 $false|spl0_862),
% 72.07/9.46 inference(forward_subsumption_resolution,[status(thm)],[f14560,f187])).
% 72.07/9.46 fof(f14562,plain,(
% 72.07/9.46 spl0_862),
% 72.07/9.46 inference(contradiction_clause,[status(thm)],[f14561])).
% 72.07/9.46 fof(f20265,plain,(
% 72.07/9.46 spl0_1482 <=> sdtasasdt0(xs,xs)=sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs))))),
% 72.07/9.46 introduced(split_symbol_definition)).
% 72.07/9.46 fof(f20266,plain,(
% 72.07/9.46 sdtasasdt0(xs,xs)=sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs))))|~spl0_1482),
% 72.07/9.46 inference(component_clause,[status(thm)],[f20265])).
% 72.07/9.46 fof(f20268,plain,(
% 72.07/9.46 ~aVector0(xs)|~aDimensionOf0(xs)=aDimensionOf0(xs)|aDimensionOf0(xs)=sz00|sdtasasdt0(xs,xs)=sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs))))|~spl0_469),
% 72.59/9.48 inference(paramodulation,[status(thm)],[f169,f8427])).
% 72.59/9.48 fof(f20269,plain,(
% 72.59/9.48 ~spl0_192|~spl0_195|spl0_243|spl0_1482|~spl0_469),
% 72.59/9.48 inference(split_clause,[status(thm)],[f20268,f3630,f3641,f4609,f20265,f8392])).
% 72.59/9.48 fof(f20289,plain,(
% 72.59/9.48 sdtasasdt0(xs,xs)=sdtpldt0(xC,sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs))))|~spl0_1482),
% 72.59/9.48 inference(forward_demodulation,[status(thm)],[f180,f20266])).
% 72.59/9.48 fof(f20290,plain,(
% 72.59/9.48 sdtasasdt0(xs,xs)=sdtpldt0(xC,sdtasdt0(xA,xA))|~spl0_1482),
% 72.59/9.48 inference(forward_demodulation,[status(thm)],[f176,f20289])).
% 72.59/9.48 fof(f20291,plain,(
% 72.59/9.48 sdtasasdt0(xs,xs)=sdtpldt0(xC,xF)|~spl0_1482),
% 72.59/9.48 inference(forward_demodulation,[status(thm)],[f186,f20290])).
% 72.59/9.48 fof(f20310,plain,(
% 72.59/9.48 ~sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|~spl0_1482|~spl0_665|~spl0_654),
% 72.59/9.48 inference(backward_demodulation,[status(thm)],[f20291,f13472])).
% 72.59/9.48 fof(f20311,plain,(
% 72.59/9.48 $false|~spl0_1482|~spl0_665|~spl0_654),
% 72.59/9.48 inference(forward_subsumption_resolution,[status(thm)],[f20310,f201])).
% 72.59/9.48 fof(f20312,plain,(
% 72.59/9.48 ~spl0_1482|~spl0_665|~spl0_654),
% 72.59/9.48 inference(contradiction_clause,[status(thm)],[f20311])).
% 72.59/9.48 fof(f20313,plain,(
% 72.59/9.48 $false),
% 72.59/9.48 inference(sat_refutation,[status(thm)],[f3652,f3659,f3661,f3663,f4619,f4621,f6778,f7668,f7671,f8391,f8396,f8401,f8557,f8560,f8686,f8688,f8751,f8753,f11792,f11995,f13591,f13593,f14562,f20269,f20312])).
% 72.59/9.48 % SZS output end CNFRefutation for theBenchmark.p
% 72.59/9.52 % Elapsed time: 9.159234 seconds
% 72.59/9.52 % CPU time: 72.680717 seconds
% 72.59/9.52 % Total memory used: 424.779 MB
% 72.59/9.52 % Net memory used: 406.641 MB
%------------------------------------------------------------------------------