TSTP Solution File: RNG071+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG071+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:37:53 EDT 2024
% Result : Theorem 11.63s 1.91s
% Output : CNFRefutation 12.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG071+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 : Mon Apr 29 22:38:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 11.63/1.91 % Refutation found
% 11.63/1.91 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.63/1.91 % SZS output start CNFRefutation for theBenchmark
% 11.63/1.91 fof(f9,axiom,(
% 11.63/1.91 aScalar0(sz0z00) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f10,axiom,(
% 11.63/1.91 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f22,axiom,(
% 11.63/1.91 (! [W0,W1,W2] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f26,axiom,(
% 11.63/1.91 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> ( ( sdtlseqdt0(sz0z00,W0)& sdtlseqdt0(sz0z00,W1) )=> ( sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))& sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)) ) ) ) )),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f27,axiom,(
% 11.63/1.91 (! [W0] :( aScalar0(W0)=> sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)) ) )),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f37,axiom,(
% 11.63/1.91 (! [W0] :( aVector0(W0)=> sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)) ) )),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f42,hypothesis,(
% 11.63/1.91 ( aVector0(xp)& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) ))& xp = sziznziztdt0(xs) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f43,hypothesis,(
% 11.63/1.91 ( aVector0(xq)& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) ))& xq = sziznziztdt0(xt) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f44,hypothesis,(
% 11.63/1.91 ( aScalar0(xA)& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f45,hypothesis,(
% 11.63/1.91 ( aScalar0(xB)& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f46,hypothesis,(
% 11.63/1.91 ( aScalar0(xC)& xC = sdtasasdt0(xp,xp) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f47,hypothesis,(
% 11.63/1.91 ( aScalar0(xD)& xD = sdtasasdt0(xq,xq) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f49,hypothesis,(
% 11.63/1.91 ( aScalar0(xF)& xF = sdtasdt0(xA,xA) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f50,hypothesis,(
% 11.63/1.91 ( aScalar0(xG)& xG = sdtasdt0(xB,xB) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f52,hypothesis,(
% 11.63/1.91 ( aScalar0(xR)& xR = sdtasdt0(xC,xG) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f53,hypothesis,(
% 11.63/1.91 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f54,hypothesis,(
% 11.63/1.91 ( aScalar0(xS)& xS = sdtasdt0(xF,xD) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f61,hypothesis,(
% 11.63/1.91 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f62,conjecture,(
% 11.63/1.91 ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ) ),
% 11.63/1.91 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.63/1.91 fof(f63,negated_conjecture,(
% 11.63/1.91 ~(( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ) )),
% 11.63/1.91 inference(negated_conjecture,[status(cth)],[f62])).
% 11.63/1.91 fof(f84,plain,(
% 11.63/1.91 aScalar0(sz0z00)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f9])).
% 11.63/1.91 fof(f85,plain,(
% 11.63/1.91 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 11.63/1.91 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 11.63/1.91 fof(f86,plain,(
% 11.63/1.91 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f85])).
% 11.63/1.91 fof(f121,plain,(
% 11.63/1.91 ![W0,W1,W2]: (((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 11.63/1.91 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 11.63/1.91 fof(f122,plain,(
% 11.63/1.91 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f121])).
% 11.63/1.91 fof(f129,plain,(
% 11.63/1.91 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|((~sdtlseqdt0(sz0z00,W0)|~sdtlseqdt0(sz0z00,W1))|(sdtlseqdt0(sz0z00,sdtpldt0(W0,W1))&sdtlseqdt0(sz0z00,sdtasdt0(W0,W1)))))),
% 11.63/1.91 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 11.63/1.91 fof(f130,plain,(
% 11.63/1.91 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|~sdtlseqdt0(sz0z00,X0)|~sdtlseqdt0(sz0z00,X1)|sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)))),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f129])).
% 11.63/1.91 fof(f131,plain,(
% 11.63/1.91 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|~sdtlseqdt0(sz0z00,X0)|~sdtlseqdt0(sz0z00,X1)|sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)))),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f129])).
% 11.63/1.91 fof(f132,plain,(
% 11.63/1.91 ![W0]: (~aScalar0(W0)|sdtlseqdt0(sz0z00,sdtasdt0(W0,W0)))),
% 11.63/1.91 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 11.63/1.91 fof(f133,plain,(
% 11.63/1.91 ![X0]: (~aScalar0(X0)|sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)))),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f132])).
% 11.63/1.91 fof(f160,plain,(
% 11.63/1.91 ![W0]: (~aVector0(W0)|sdtlseqdt0(sz0z00,sdtasasdt0(W0,W0)))),
% 11.63/1.91 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 11.63/1.91 fof(f161,plain,(
% 11.63/1.91 ![X0]: (~aVector0(X0)|sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)))),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f160])).
% 11.63/1.91 fof(f168,plain,(
% 11.63/1.91 ((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&(![W0]: (~aNaturalNumber0(W0)|sdtlbdtrb0(xp,W0)=sdtlbdtrb0(xs,W0))))&xp=sziznziztdt0(xs)),
% 11.63/1.91 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 11.63/1.91 fof(f169,plain,(
% 11.63/1.91 aVector0(xp)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f168])).
% 11.63/1.91 fof(f173,plain,(
% 11.63/1.91 ((aVector0(xq)&szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt))&(![W0]: (~aNaturalNumber0(W0)|sdtlbdtrb0(xq,W0)=sdtlbdtrb0(xt,W0))))&xq=sziznziztdt0(xt)),
% 11.63/1.91 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 11.63/1.91 fof(f174,plain,(
% 11.63/1.91 aVector0(xq)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f173])).
% 11.63/1.91 fof(f178,plain,(
% 11.63/1.91 aScalar0(xA)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f44])).
% 11.63/1.91 fof(f180,plain,(
% 11.63/1.91 aScalar0(xB)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f45])).
% 11.63/1.91 fof(f182,plain,(
% 11.63/1.91 aScalar0(xC)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f46])).
% 11.63/1.91 fof(f183,plain,(
% 11.63/1.91 xC=sdtasasdt0(xp,xp)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f46])).
% 11.63/1.91 fof(f184,plain,(
% 11.63/1.91 aScalar0(xD)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f47])).
% 11.63/1.91 fof(f185,plain,(
% 11.63/1.91 xD=sdtasasdt0(xq,xq)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f47])).
% 11.63/1.91 fof(f188,plain,(
% 11.63/1.91 aScalar0(xF)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f49])).
% 11.63/1.91 fof(f189,plain,(
% 11.63/1.91 xF=sdtasdt0(xA,xA)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f49])).
% 11.63/1.91 fof(f190,plain,(
% 11.63/1.91 aScalar0(xG)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f50])).
% 11.63/1.91 fof(f191,plain,(
% 11.63/1.91 xG=sdtasdt0(xB,xB)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f50])).
% 11.63/1.91 fof(f194,plain,(
% 11.63/1.91 aScalar0(xR)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f52])).
% 11.63/1.91 fof(f195,plain,(
% 11.63/1.91 xR=sdtasdt0(xC,xG)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f52])).
% 11.63/1.91 fof(f196,plain,(
% 11.63/1.91 aScalar0(xP)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f53])).
% 11.63/1.91 fof(f198,plain,(
% 11.63/1.91 aScalar0(xS)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f54])).
% 11.63/1.91 fof(f199,plain,(
% 11.63/1.91 xS=sdtasdt0(xF,xD)),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f54])).
% 11.63/1.91 fof(f207,plain,(
% 11.63/1.91 sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f61])).
% 11.63/1.91 fof(f208,plain,(
% 11.63/1.91 (~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)))),
% 11.63/1.91 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 11.63/1.91 fof(f209,plain,(
% 11.63/1.91 ~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),
% 11.63/1.91 inference(cnf_transformation,[status(esa)],[f208])).
% 11.63/1.91 fof(f225,plain,(
% 11.63/1.91 spl0_4 <=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f227,plain,(
% 11.63/1.91 ~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|spl0_4),
% 11.63/1.91 inference(component_clause,[status(thm)],[f225])).
% 11.63/1.91 fof(f228,plain,(
% 11.63/1.91 spl0_5 <=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f230,plain,(
% 11.63/1.91 ~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|spl0_5),
% 11.63/1.91 inference(component_clause,[status(thm)],[f228])).
% 11.63/1.91 fof(f231,plain,(
% 11.63/1.91 ~spl0_4|~spl0_5),
% 11.63/1.91 inference(split_clause,[status(thm)],[f209,f225,f228])).
% 11.63/1.91 fof(f235,plain,(
% 11.63/1.91 spl0_6 <=> aScalar0(sdtpldt0(xR,xS))),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f237,plain,(
% 11.63/1.91 ~aScalar0(sdtpldt0(xR,xS))|spl0_6),
% 11.63/1.91 inference(component_clause,[status(thm)],[f235])).
% 11.63/1.91 fof(f238,plain,(
% 11.63/1.91 spl0_7 <=> aScalar0(sdtpldt0(xP,xP))),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f240,plain,(
% 11.63/1.91 ~aScalar0(sdtpldt0(xP,xP))|spl0_7),
% 11.63/1.91 inference(component_clause,[status(thm)],[f238])).
% 11.63/1.91 fof(f257,plain,(
% 11.63/1.91 spl0_12 <=> aScalar0(sz0z00)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f259,plain,(
% 11.63/1.91 ~aScalar0(sz0z00)|spl0_12),
% 11.63/1.91 inference(component_clause,[status(thm)],[f257])).
% 11.63/1.91 fof(f262,plain,(
% 11.63/1.91 $false|spl0_12),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f259,f84])).
% 11.63/1.91 fof(f263,plain,(
% 11.63/1.91 spl0_12),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f262])).
% 11.63/1.91 fof(f264,plain,(
% 11.63/1.91 spl0_13 <=> ~aScalar0(X0)|~sdtlseqdt0(X0,sdtpldt0(xR,xS))|sdtlseqdt0(X0,sdtpldt0(xP,xP))),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f265,plain,(
% 11.63/1.91 ![X0]: (~aScalar0(X0)|~sdtlseqdt0(X0,sdtpldt0(xR,xS))|sdtlseqdt0(X0,sdtpldt0(xP,xP))|~spl0_13)),
% 11.63/1.91 inference(component_clause,[status(thm)],[f264])).
% 11.63/1.91 fof(f267,plain,(
% 11.63/1.91 ![X0]: (~aScalar0(X0)|~aScalar0(sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~sdtlseqdt0(X0,sdtpldt0(xR,xS))|sdtlseqdt0(X0,sdtpldt0(xP,xP)))),
% 11.63/1.91 inference(resolution,[status(thm)],[f122,f207])).
% 11.63/1.91 fof(f268,plain,(
% 11.63/1.91 spl0_13|~spl0_6|~spl0_7),
% 11.63/1.91 inference(split_clause,[status(thm)],[f267,f264,f235,f238])).
% 11.63/1.91 fof(f311,plain,(
% 11.63/1.91 spl0_20 <=> aScalar0(xR)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f313,plain,(
% 11.63/1.91 ~aScalar0(xR)|spl0_20),
% 11.63/1.91 inference(component_clause,[status(thm)],[f311])).
% 11.63/1.91 fof(f314,plain,(
% 11.63/1.91 spl0_21 <=> aScalar0(xS)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f316,plain,(
% 11.63/1.91 ~aScalar0(xS)|spl0_21),
% 11.63/1.91 inference(component_clause,[status(thm)],[f314])).
% 11.63/1.91 fof(f317,plain,(
% 11.63/1.91 ~aScalar0(xR)|~aScalar0(xS)|spl0_6),
% 11.63/1.91 inference(resolution,[status(thm)],[f237,f86])).
% 11.63/1.91 fof(f318,plain,(
% 11.63/1.91 ~spl0_20|~spl0_21|spl0_6),
% 11.63/1.91 inference(split_clause,[status(thm)],[f317,f311,f314,f235])).
% 11.63/1.91 fof(f319,plain,(
% 11.63/1.91 $false|spl0_20),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f313,f194])).
% 11.63/1.91 fof(f320,plain,(
% 11.63/1.91 spl0_20),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f319])).
% 11.63/1.91 fof(f321,plain,(
% 11.63/1.91 $false|spl0_21),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f316,f198])).
% 11.63/1.91 fof(f322,plain,(
% 11.63/1.91 spl0_21),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f321])).
% 11.63/1.91 fof(f337,plain,(
% 11.63/1.91 spl0_24 <=> aScalar0(xP)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f339,plain,(
% 11.63/1.91 ~aScalar0(xP)|spl0_24),
% 11.63/1.91 inference(component_clause,[status(thm)],[f337])).
% 11.63/1.91 fof(f340,plain,(
% 11.63/1.91 ~aScalar0(xP)|~aScalar0(xP)|spl0_7),
% 11.63/1.91 inference(resolution,[status(thm)],[f240,f86])).
% 11.63/1.91 fof(f341,plain,(
% 11.63/1.91 ~spl0_24|spl0_7),
% 11.63/1.91 inference(split_clause,[status(thm)],[f340,f337,f238])).
% 11.63/1.91 fof(f342,plain,(
% 11.63/1.91 $false|spl0_24),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f339,f196])).
% 11.63/1.91 fof(f343,plain,(
% 11.63/1.91 spl0_24),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f342])).
% 11.63/1.91 fof(f426,plain,(
% 11.63/1.91 ~aScalar0(sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|~spl0_13|spl0_5),
% 11.63/1.91 inference(resolution,[status(thm)],[f265,f230])).
% 11.63/1.91 fof(f427,plain,(
% 11.63/1.91 ~spl0_12|~spl0_4|~spl0_13|spl0_5),
% 11.63/1.91 inference(split_clause,[status(thm)],[f426,f257,f225,f264,f228])).
% 11.63/1.91 fof(f864,plain,(
% 11.63/1.91 spl0_89 <=> sdtlseqdt0(sz0z00,xR)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f867,plain,(
% 11.63/1.91 spl0_90 <=> sdtlseqdt0(sz0z00,xS)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f870,plain,(
% 11.63/1.91 ~aScalar0(xR)|~aScalar0(xS)|~sdtlseqdt0(sz0z00,xR)|~sdtlseqdt0(sz0z00,xS)|spl0_4),
% 11.63/1.91 inference(resolution,[status(thm)],[f130,f227])).
% 11.63/1.91 fof(f871,plain,(
% 11.63/1.91 ~spl0_20|~spl0_21|~spl0_89|~spl0_90|spl0_4),
% 11.63/1.91 inference(split_clause,[status(thm)],[f870,f311,f314,f864,f867,f225])).
% 11.63/1.91 fof(f974,plain,(
% 11.63/1.91 spl0_113 <=> aScalar0(xA)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f976,plain,(
% 11.63/1.91 ~aScalar0(xA)|spl0_113),
% 11.63/1.91 inference(component_clause,[status(thm)],[f974])).
% 11.63/1.91 fof(f997,plain,(
% 11.63/1.91 spl0_118 <=> sdtlseqdt0(sz0z00,xF)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1032,plain,(
% 11.63/1.91 ~aScalar0(xA)|sdtlseqdt0(sz0z00,xF)),
% 11.63/1.91 inference(paramodulation,[status(thm)],[f189,f133])).
% 11.63/1.91 fof(f1033,plain,(
% 11.63/1.91 ~spl0_113|spl0_118),
% 11.63/1.91 inference(split_clause,[status(thm)],[f1032,f974,f997])).
% 11.63/1.91 fof(f1044,plain,(
% 11.63/1.91 $false|spl0_113),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f976,f178])).
% 11.63/1.91 fof(f1045,plain,(
% 11.63/1.91 spl0_113),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f1044])).
% 11.63/1.91 fof(f1046,plain,(
% 11.63/1.91 spl0_127 <=> aScalar0(xB)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1048,plain,(
% 11.63/1.91 ~aScalar0(xB)|spl0_127),
% 11.63/1.91 inference(component_clause,[status(thm)],[f1046])).
% 11.63/1.91 fof(f1069,plain,(
% 11.63/1.91 spl0_132 <=> sdtlseqdt0(sz0z00,xG)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1104,plain,(
% 11.63/1.91 ~aScalar0(xB)|sdtlseqdt0(sz0z00,xG)),
% 11.63/1.91 inference(paramodulation,[status(thm)],[f191,f133])).
% 11.63/1.91 fof(f1105,plain,(
% 11.63/1.91 ~spl0_127|spl0_132),
% 11.63/1.91 inference(split_clause,[status(thm)],[f1104,f1046,f1069])).
% 11.63/1.91 fof(f1116,plain,(
% 11.63/1.91 $false|spl0_127),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f1048,f180])).
% 11.63/1.91 fof(f1117,plain,(
% 11.63/1.91 spl0_127),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f1116])).
% 11.63/1.91 fof(f1173,plain,(
% 11.63/1.91 spl0_152 <=> aScalar0(xC)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1175,plain,(
% 11.63/1.91 ~aScalar0(xC)|spl0_152),
% 11.63/1.91 inference(component_clause,[status(thm)],[f1173])).
% 11.63/1.91 fof(f1179,plain,(
% 11.63/1.91 spl0_154 <=> aScalar0(xG)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1181,plain,(
% 11.63/1.91 ~aScalar0(xG)|spl0_154),
% 11.63/1.91 inference(component_clause,[status(thm)],[f1179])).
% 11.63/1.91 fof(f1189,plain,(
% 11.63/1.91 spl0_156 <=> sdtlseqdt0(sz0z00,xC)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1192,plain,(
% 11.63/1.91 ~aScalar0(xC)|~aScalar0(xG)|~sdtlseqdt0(sz0z00,xC)|~sdtlseqdt0(sz0z00,xG)|sdtlseqdt0(sz0z00,xR)),
% 11.63/1.91 inference(paramodulation,[status(thm)],[f195,f131])).
% 11.63/1.91 fof(f1193,plain,(
% 11.63/1.91 ~spl0_152|~spl0_154|~spl0_156|~spl0_132|spl0_89),
% 11.63/1.91 inference(split_clause,[status(thm)],[f1192,f1173,f1179,f1189,f1069,f864])).
% 11.63/1.91 fof(f1234,plain,(
% 11.63/1.91 $false|spl0_154),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f1181,f190])).
% 11.63/1.91 fof(f1235,plain,(
% 11.63/1.91 spl0_154),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f1234])).
% 11.63/1.91 fof(f1236,plain,(
% 11.63/1.91 $false|spl0_152),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f1175,f182])).
% 11.63/1.91 fof(f1237,plain,(
% 11.63/1.91 spl0_152),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f1236])).
% 11.63/1.91 fof(f1303,plain,(
% 11.63/1.91 spl0_178 <=> aScalar0(xF)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1305,plain,(
% 11.63/1.91 ~aScalar0(xF)|spl0_178),
% 11.63/1.91 inference(component_clause,[status(thm)],[f1303])).
% 11.63/1.91 fof(f1309,plain,(
% 11.63/1.91 spl0_180 <=> aScalar0(xD)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1311,plain,(
% 11.63/1.91 ~aScalar0(xD)|spl0_180),
% 11.63/1.91 inference(component_clause,[status(thm)],[f1309])).
% 11.63/1.91 fof(f1319,plain,(
% 11.63/1.91 spl0_182 <=> sdtlseqdt0(sz0z00,xD)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f1322,plain,(
% 11.63/1.91 ~aScalar0(xF)|~aScalar0(xD)|~sdtlseqdt0(sz0z00,xF)|~sdtlseqdt0(sz0z00,xD)|sdtlseqdt0(sz0z00,xS)),
% 11.63/1.91 inference(paramodulation,[status(thm)],[f199,f131])).
% 11.63/1.91 fof(f1323,plain,(
% 11.63/1.91 ~spl0_178|~spl0_180|~spl0_118|~spl0_182|spl0_90),
% 11.63/1.91 inference(split_clause,[status(thm)],[f1322,f1303,f1309,f997,f1319,f867])).
% 11.63/1.91 fof(f1371,plain,(
% 11.63/1.91 $false|spl0_178),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f1305,f188])).
% 11.63/1.91 fof(f1372,plain,(
% 11.63/1.91 spl0_178),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f1371])).
% 11.63/1.91 fof(f1373,plain,(
% 11.63/1.91 $false|spl0_180),
% 11.63/1.91 inference(forward_subsumption_resolution,[status(thm)],[f1311,f184])).
% 11.63/1.91 fof(f1374,plain,(
% 11.63/1.91 spl0_180),
% 11.63/1.91 inference(contradiction_clause,[status(thm)],[f1373])).
% 11.63/1.91 fof(f3116,plain,(
% 11.63/1.91 spl0_384 <=> aVector0(xq)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f3118,plain,(
% 11.63/1.91 ~aVector0(xq)|spl0_384),
% 11.63/1.91 inference(component_clause,[status(thm)],[f3116])).
% 11.63/1.91 fof(f3119,plain,(
% 11.63/1.91 ~aVector0(xq)|sdtlseqdt0(sz0z00,xD)),
% 11.63/1.91 inference(paramodulation,[status(thm)],[f185,f161])).
% 11.63/1.91 fof(f3120,plain,(
% 11.63/1.91 ~spl0_384|spl0_182),
% 11.63/1.91 inference(split_clause,[status(thm)],[f3119,f3116,f1319])).
% 11.63/1.91 fof(f3121,plain,(
% 11.63/1.91 spl0_385 <=> aVector0(xp)),
% 11.63/1.91 introduced(split_symbol_definition)).
% 11.63/1.91 fof(f3123,plain,(
% 11.63/1.91 ~aVector0(xp)|spl0_385),
% 11.63/1.91 inference(component_clause,[status(thm)],[f3121])).
% 11.63/1.91 fof(f3124,plain,(
% 11.63/1.91 ~aVector0(xp)|sdtlseqdt0(sz0z00,xC)),
% 12.41/1.92 inference(paramodulation,[status(thm)],[f183,f161])).
% 12.41/1.92 fof(f3125,plain,(
% 12.41/1.92 ~spl0_385|spl0_156),
% 12.41/1.92 inference(split_clause,[status(thm)],[f3124,f3121,f1189])).
% 12.41/1.92 fof(f3126,plain,(
% 12.41/1.92 $false|spl0_385),
% 12.41/1.92 inference(forward_subsumption_resolution,[status(thm)],[f3123,f169])).
% 12.41/1.92 fof(f3127,plain,(
% 12.41/1.92 spl0_385),
% 12.41/1.92 inference(contradiction_clause,[status(thm)],[f3126])).
% 12.41/1.92 fof(f3128,plain,(
% 12.41/1.92 $false|spl0_384),
% 12.41/1.92 inference(forward_subsumption_resolution,[status(thm)],[f3118,f174])).
% 12.41/1.92 fof(f3129,plain,(
% 12.41/1.92 spl0_384),
% 12.41/1.92 inference(contradiction_clause,[status(thm)],[f3128])).
% 12.41/1.92 fof(f3130,plain,(
% 12.41/1.92 $false),
% 12.41/1.92 inference(sat_refutation,[status(thm)],[f231,f263,f268,f318,f320,f322,f341,f343,f427,f871,f1033,f1045,f1105,f1117,f1193,f1235,f1237,f1323,f1372,f1374,f3120,f3125,f3127,f3129])).
% 12.41/1.92 % SZS output end CNFRefutation for theBenchmark.p
% 12.41/1.95 % Elapsed time: 1.599230 seconds
% 12.41/1.95 % CPU time: 12.537336 seconds
% 12.41/1.95 % Total memory used: 203.363 MB
% 12.41/1.95 % Net memory used: 190.754 MB
%------------------------------------------------------------------------------