TSTP Solution File: RNG077+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG077+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:37:54 EDT 2024
% Result : Theorem 3.06s 0.78s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG077+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.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 22:39:47 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 3.06/0.78 % Refutation found
% 3.06/0.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.06/0.78 % SZS output start CNFRefutation for theBenchmark
% 3.06/0.78 fof(f9,axiom,(
% 3.06/0.78 aScalar0(sz0z00) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f10,axiom,(
% 3.06/0.78 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtpldt0(W0,W1)) ) )),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f11,axiom,(
% 3.06/0.78 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> aScalar0(sdtasdt0(W0,W1)) ) )),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f12,axiom,(
% 3.06/0.78 (! [W0] :( aScalar0(W0)=> aScalar0(smndt0(W0)) ) )),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f14,axiom,(
% 3.06/0.78 (! [W0,W1,W2] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2) )=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))& sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ) )),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f16,axiom,(
% 3.06/0.78 (! [W0,W1,W2,W3] :( ( aScalar0(W0)& aScalar0(W1)& aScalar0(W2)& aScalar0(W3) )=> sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ) )),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f17,axiom,(
% 3.06/0.78 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))& sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ) )),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f18,axiom,(
% 3.06/0.78 (! [W0,W1] :( ( aScalar0(W0)& aScalar0(W1) )=> sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ) )),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f30,axiom,(
% 3.06/0.78 (! [W0] :( aVector0(W0)=> aNaturalNumber0(aDimensionOf0(W0)) ) )),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f38,hypothesis,(
% 3.06/0.78 ( aVector0(xs)& aVector0(xt) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f42,hypothesis,(
% 3.06/0.78 ( aVector0(xp)& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)& (! [W0] :( aNaturalNumber0(W0)=> sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) ))& xp = sziznziztdt0(xs) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f44,hypothesis,(
% 3.06/0.78 ( aScalar0(xA)& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f45,hypothesis,(
% 3.06/0.78 ( aScalar0(xB)& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f46,hypothesis,(
% 3.06/0.78 ( aScalar0(xC)& xC = sdtasasdt0(xp,xp) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f47,hypothesis,(
% 3.06/0.78 ( aScalar0(xD)& xD = sdtasasdt0(xq,xq) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f48,hypothesis,(
% 3.06/0.78 ( aScalar0(xE)& xE = sdtasasdt0(xp,xq) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f49,hypothesis,(
% 3.06/0.78 ( aScalar0(xF)& xF = sdtasdt0(xA,xA) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f51,hypothesis,(
% 3.06/0.78 ( aScalar0(xH)& xH = sdtasdt0(xA,xB) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f53,hypothesis,(
% 3.06/0.78 ( aScalar0(xP)& xP = sdtasdt0(xE,xH) ) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f59,conjecture,(
% 3.06/0.78 sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) ),
% 3.06/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.06/0.78 fof(f60,negated_conjecture,(
% 3.06/0.78 ~(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) )),
% 3.06/0.78 inference(negated_conjecture,[status(cth)],[f59])).
% 3.06/0.78 fof(f81,plain,(
% 3.06/0.78 aScalar0(sz0z00)),
% 3.06/0.78 inference(cnf_transformation,[status(esa)],[f9])).
% 3.06/0.78 fof(f82,plain,(
% 3.06/0.78 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtpldt0(W0,W1)))),
% 3.06/0.78 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 3.06/0.78 fof(f83,plain,(
% 3.06/0.78 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtpldt0(X0,X1)))),
% 3.06/0.78 inference(cnf_transformation,[status(esa)],[f82])).
% 3.06/0.79 fof(f84,plain,(
% 3.06/0.79 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|aScalar0(sdtasdt0(W0,W1)))),
% 3.06/0.79 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 3.06/0.79 fof(f85,plain,(
% 3.06/0.79 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|aScalar0(sdtasdt0(X0,X1)))),
% 3.06/0.79 inference(cnf_transformation,[status(esa)],[f84])).
% 3.06/0.79 fof(f86,plain,(
% 3.06/0.79 ![W0]: (~aScalar0(W0)|aScalar0(smndt0(W0)))),
% 3.06/0.79 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 3.06/0.79 fof(f87,plain,(
% 3.06/0.79 ![X0]: (~aScalar0(X0)|aScalar0(smndt0(X0)))),
% 3.06/0.79 inference(cnf_transformation,[status(esa)],[f86])).
% 3.06/0.79 fof(f97,plain,(
% 3.06/0.79 ![W0,W1,W2]: (((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|(((sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2))&sdtpldt0(W0,W1)=sdtpldt0(W1,W0))&sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)))&sdtasdt0(W0,W1)=sdtasdt0(W1,W0)))),
% 3.06/0.79 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 3.06/0.79 fof(f98,plain,(
% 3.06/0.79 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(X0,sdtpldt0(X1,X2)))),
% 3.06/0.79 inference(cnf_transformation,[status(esa)],[f97])).
% 3.06/0.80 fof(f101,plain,(
% 3.06/0.80 ![X0,X1,X2]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f97])).
% 3.06/0.80 fof(f105,plain,(
% 3.06/0.80 ![W0,W1,W2,W3]: ((((~aScalar0(W0)|~aScalar0(W1))|~aScalar0(W2))|~aScalar0(W3))|sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3))=sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))))),
% 3.06/0.80 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 3.06/0.80 fof(f106,plain,(
% 3.06/0.80 ![X0,X1,X2,X3]: (~aScalar0(X0)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))))),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f105])).
% 3.06/0.80 fof(f107,plain,(
% 3.06/0.80 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|(sdtasdt0(W0,smndt0(W1))=smndt0(sdtasdt0(W0,W1))&sdtasdt0(smndt0(W0),W1)=smndt0(sdtasdt0(W0,W1))))),
% 3.06/0.80 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.06/0.80 fof(f108,plain,(
% 3.06/0.80 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,smndt0(X1))=smndt0(sdtasdt0(X0,X1)))),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f107])).
% 3.06/0.80 fof(f109,plain,(
% 3.06/0.80 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(smndt0(X0),X1)=smndt0(sdtasdt0(X0,X1)))),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f107])).
% 3.06/0.80 fof(f110,plain,(
% 3.06/0.80 ![W0,W1]: ((~aScalar0(W0)|~aScalar0(W1))|sdtasdt0(smndt0(W0),smndt0(W1))=sdtasdt0(W0,W1))),
% 3.06/0.80 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 3.06/0.80 fof(f111,plain,(
% 3.06/0.80 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(smndt0(X0),smndt0(X1))=sdtasdt0(X0,X1))),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f110])).
% 3.06/0.80 fof(f136,plain,(
% 3.06/0.80 ![W0]: (~aVector0(W0)|aNaturalNumber0(aDimensionOf0(W0)))),
% 3.06/0.80 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 3.06/0.80 fof(f137,plain,(
% 3.06/0.80 ![X0]: (~aVector0(X0)|aNaturalNumber0(aDimensionOf0(X0)))),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f136])).
% 3.06/0.80 fof(f160,plain,(
% 3.06/0.80 aVector0(xt)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f38])).
% 3.06/0.80 fof(f165,plain,(
% 3.06/0.80 ((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&(![W0]: (~aNaturalNumber0(W0)|sdtlbdtrb0(xp,W0)=sdtlbdtrb0(xs,W0))))&xp=sziznziztdt0(xs)),
% 3.06/0.80 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 3.06/0.80 fof(f166,plain,(
% 3.06/0.80 aVector0(xp)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f165])).
% 3.06/0.80 fof(f175,plain,(
% 3.06/0.80 aScalar0(xA)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f44])).
% 3.06/0.80 fof(f177,plain,(
% 3.06/0.80 aScalar0(xB)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f45])).
% 3.06/0.80 fof(f179,plain,(
% 3.06/0.80 aScalar0(xC)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f46])).
% 3.06/0.80 fof(f181,plain,(
% 3.06/0.80 aScalar0(xD)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f47])).
% 3.06/0.80 fof(f183,plain,(
% 3.06/0.80 aScalar0(xE)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f48])).
% 3.06/0.80 fof(f185,plain,(
% 3.06/0.80 aScalar0(xF)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f49])).
% 3.06/0.80 fof(f189,plain,(
% 3.06/0.80 aScalar0(xH)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f51])).
% 3.06/0.80 fof(f194,plain,(
% 3.06/0.80 xP=sdtasdt0(xE,xH)),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f53])).
% 3.06/0.80 fof(f202,plain,(
% 3.06/0.80 ~sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))=sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)))),
% 3.06/0.80 inference(cnf_transformation,[status(esa)],[f60])).
% 3.06/0.80 fof(f203,plain,(
% 3.06/0.80 spl0_0 <=> ~aScalar0(X0)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f204,plain,(
% 3.06/0.80 ![X0]: (~aScalar0(X0)|~spl0_0)),
% 3.06/0.80 inference(component_clause,[status(thm)],[f203])).
% 3.06/0.80 fof(f214,plain,(
% 3.06/0.80 spl0_3 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f215,plain,(
% 3.06/0.80 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0)|~spl0_3)),
% 3.06/0.80 inference(component_clause,[status(thm)],[f214])).
% 3.06/0.80 fof(f217,plain,(
% 3.06/0.80 spl0_3|spl0_0),
% 3.06/0.80 inference(split_clause,[status(thm)],[f101,f214,f203])).
% 3.06/0.80 fof(f221,plain,(
% 3.06/0.80 ~sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))=sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)))),
% 3.06/0.80 inference(backward_demodulation,[status(thm)],[f194,f202])).
% 3.06/0.80 fof(f225,plain,(
% 3.06/0.80 spl0_5 <=> aScalar0(xE)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f227,plain,(
% 3.06/0.80 ~aScalar0(xE)|spl0_5),
% 3.06/0.80 inference(component_clause,[status(thm)],[f225])).
% 3.06/0.80 fof(f228,plain,(
% 3.06/0.80 spl0_6 <=> aScalar0(xH)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f230,plain,(
% 3.06/0.80 ~aScalar0(xH)|spl0_6),
% 3.06/0.80 inference(component_clause,[status(thm)],[f228])).
% 3.06/0.80 fof(f248,plain,(
% 3.06/0.80 spl0_10 <=> aScalar0(xP)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f251,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(xH)|aScalar0(xP)),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f194,f85])).
% 3.06/0.80 fof(f252,plain,(
% 3.06/0.80 ~spl0_5|~spl0_6|spl0_10),
% 3.06/0.80 inference(split_clause,[status(thm)],[f251,f225,f228,f248])).
% 3.06/0.80 fof(f253,plain,(
% 3.06/0.80 $false|spl0_6),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f230,f189])).
% 3.06/0.80 fof(f254,plain,(
% 3.06/0.80 spl0_6),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f253])).
% 3.06/0.80 fof(f255,plain,(
% 3.06/0.80 $false|spl0_5),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f227,f183])).
% 3.06/0.80 fof(f256,plain,(
% 3.06/0.80 spl0_5),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f255])).
% 3.06/0.80 fof(f257,plain,(
% 3.06/0.80 spl0_11 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtpldt0(xE,X0),sdtpldt0(xH,X1))=sdtpldt0(sdtpldt0(xP,sdtasdt0(xE,X1)),sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X0,X1)))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f258,plain,(
% 3.06/0.80 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtpldt0(xE,X0),sdtpldt0(xH,X1))=sdtpldt0(sdtpldt0(xP,sdtasdt0(xE,X1)),sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X0,X1)))|~spl0_11)),
% 3.06/0.80 inference(component_clause,[status(thm)],[f257])).
% 3.06/0.80 fof(f260,plain,(
% 3.06/0.80 ![X0,X1]: (~aScalar0(xE)|~aScalar0(X0)|~aScalar0(xH)|~aScalar0(X1)|sdtasdt0(sdtpldt0(xE,X0),sdtpldt0(xH,X1))=sdtpldt0(sdtpldt0(xP,sdtasdt0(xE,X1)),sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X0,X1))))),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f194,f106])).
% 3.06/0.80 fof(f261,plain,(
% 3.06/0.80 ~spl0_5|spl0_11|~spl0_6),
% 3.06/0.80 inference(split_clause,[status(thm)],[f260,f225,f257,f228])).
% 3.06/0.80 fof(f292,plain,(
% 3.06/0.80 spl0_18 <=> sdtasdt0(sdtpldt0(xE,xE),sdtpldt0(xH,xH))=sdtpldt0(sdtpldt0(xP,sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xE,xH),xP))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f293,plain,(
% 3.06/0.80 sdtasdt0(sdtpldt0(xE,xE),sdtpldt0(xH,xH))=sdtpldt0(sdtpldt0(xP,sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xE,xH),xP))|~spl0_18),
% 3.06/0.80 inference(component_clause,[status(thm)],[f292])).
% 3.06/0.80 fof(f295,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(xH)|sdtasdt0(sdtpldt0(xE,xE),sdtpldt0(xH,xH))=sdtpldt0(sdtpldt0(xP,sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xE,xH),xP))|~spl0_11),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f194,f258])).
% 3.06/0.80 fof(f296,plain,(
% 3.06/0.80 ~spl0_5|~spl0_6|spl0_18|~spl0_11),
% 3.06/0.80 inference(split_clause,[status(thm)],[f295,f225,f228,f292,f257])).
% 3.06/0.80 fof(f297,plain,(
% 3.06/0.80 sdtasdt0(sdtpldt0(xE,xE),sdtpldt0(xH,xH))=sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(sdtasdt0(xE,xH),xP))|~spl0_18),
% 3.06/0.80 inference(forward_demodulation,[status(thm)],[f194,f293])).
% 3.06/0.80 fof(f298,plain,(
% 3.06/0.80 sdtasdt0(sdtpldt0(xE,xE),sdtpldt0(xH,xH))=sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~spl0_18),
% 3.06/0.80 inference(forward_demodulation,[status(thm)],[f194,f297])).
% 3.06/0.80 fof(f299,plain,(
% 3.06/0.80 spl0_19 <=> aScalar0(sdtpldt0(xE,xE))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f301,plain,(
% 3.06/0.80 ~aScalar0(sdtpldt0(xE,xE))|spl0_19),
% 3.06/0.80 inference(component_clause,[status(thm)],[f299])).
% 3.06/0.80 fof(f302,plain,(
% 3.06/0.80 spl0_20 <=> aScalar0(sdtpldt0(xH,xH))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f304,plain,(
% 3.06/0.80 ~aScalar0(sdtpldt0(xH,xH))|spl0_20),
% 3.06/0.80 inference(component_clause,[status(thm)],[f302])).
% 3.06/0.80 fof(f330,plain,(
% 3.06/0.80 spl0_26 <=> ~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),X0),sdtpldt0(sdtpldt0(xH,xH),X1))=sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),X1)),sdtpldt0(sdtasdt0(X0,sdtpldt0(xH,xH)),sdtasdt0(X0,X1)))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f331,plain,(
% 3.06/0.80 ![X0,X1]: (~aScalar0(X0)|~aScalar0(X1)|sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),X0),sdtpldt0(sdtpldt0(xH,xH),X1))=sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),X1)),sdtpldt0(sdtasdt0(X0,sdtpldt0(xH,xH)),sdtasdt0(X0,X1)))|~spl0_26)),
% 3.06/0.80 inference(component_clause,[status(thm)],[f330])).
% 3.06/0.80 fof(f333,plain,(
% 3.06/0.80 ![X0,X1]: (~aScalar0(sdtpldt0(xE,xE))|~aScalar0(X0)|~aScalar0(sdtpldt0(xH,xH))|~aScalar0(X1)|sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),X0),sdtpldt0(sdtpldt0(xH,xH),X1))=sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),X1)),sdtpldt0(sdtasdt0(X0,sdtpldt0(xH,xH)),sdtasdt0(X0,X1)))|~spl0_18)),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f298,f106])).
% 3.06/0.80 fof(f334,plain,(
% 3.06/0.80 ~spl0_19|spl0_26|~spl0_20|~spl0_18),
% 3.06/0.80 inference(split_clause,[status(thm)],[f333,f299,f330,f302,f292])).
% 3.06/0.80 fof(f355,plain,(
% 3.06/0.80 spl0_31 <=> aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f358,plain,(
% 3.06/0.80 ~aScalar0(sdtpldt0(xE,xE))|~aScalar0(sdtpldt0(xH,xH))|aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|~spl0_18),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f298,f85])).
% 3.06/0.80 fof(f359,plain,(
% 3.06/0.80 ~spl0_19|~spl0_20|spl0_31|~spl0_18),
% 3.06/0.80 inference(split_clause,[status(thm)],[f358,f299,f302,f355,f292])).
% 3.06/0.80 fof(f360,plain,(
% 3.06/0.80 ~aScalar0(xH)|~aScalar0(xH)|spl0_20),
% 3.06/0.80 inference(resolution,[status(thm)],[f304,f83])).
% 3.06/0.80 fof(f361,plain,(
% 3.06/0.80 ~spl0_6|spl0_20),
% 3.06/0.80 inference(split_clause,[status(thm)],[f360,f228,f302])).
% 3.06/0.80 fof(f362,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(xE)|spl0_19),
% 3.06/0.80 inference(resolution,[status(thm)],[f301,f83])).
% 3.06/0.80 fof(f363,plain,(
% 3.06/0.80 ~spl0_5|spl0_19),
% 3.06/0.80 inference(split_clause,[status(thm)],[f362,f225,f299])).
% 3.06/0.80 fof(f429,plain,(
% 3.06/0.80 spl0_41 <=> sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),xE),sdtpldt0(sdtpldt0(xH,xH),xH))=sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),xH)),sdtpldt0(sdtasdt0(xE,sdtpldt0(xH,xH)),xP))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f430,plain,(
% 3.06/0.80 sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),xE),sdtpldt0(sdtpldt0(xH,xH),xH))=sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),xH)),sdtpldt0(sdtasdt0(xE,sdtpldt0(xH,xH)),xP))|~spl0_41),
% 3.06/0.80 inference(component_clause,[status(thm)],[f429])).
% 3.06/0.80 fof(f440,plain,(
% 3.06/0.80 spl0_42 <=> aScalar0(sdtasdt0(xE,sdtpldt0(xH,xH)))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f442,plain,(
% 3.06/0.80 ~aScalar0(sdtasdt0(xE,sdtpldt0(xH,xH)))|spl0_42),
% 3.06/0.80 inference(component_clause,[status(thm)],[f440])).
% 3.06/0.80 fof(f499,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(sdtpldt0(xH,xH))|spl0_42),
% 3.06/0.80 inference(resolution,[status(thm)],[f442,f85])).
% 3.06/0.80 fof(f500,plain,(
% 3.06/0.80 ~spl0_5|~spl0_20|spl0_42),
% 3.06/0.80 inference(split_clause,[status(thm)],[f499,f225,f302,f440])).
% 3.06/0.80 fof(f501,plain,(
% 3.06/0.80 spl0_53 <=> aScalar0(sdtasdt0(sdtpldt0(xE,xE),xH))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f503,plain,(
% 3.06/0.80 ~aScalar0(sdtasdt0(sdtpldt0(xE,xE),xH))|spl0_53),
% 3.06/0.80 inference(component_clause,[status(thm)],[f501])).
% 3.06/0.80 fof(f506,plain,(
% 3.06/0.80 ~aScalar0(sdtpldt0(xE,xE))|~aScalar0(xH)|spl0_53),
% 3.06/0.80 inference(resolution,[status(thm)],[f503,f85])).
% 3.06/0.80 fof(f507,plain,(
% 3.06/0.80 ~spl0_19|~spl0_6|spl0_53),
% 3.06/0.80 inference(split_clause,[status(thm)],[f506,f299,f228,f501])).
% 3.06/0.80 fof(f691,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(xH)|sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),xE),sdtpldt0(sdtpldt0(xH,xH),xH))=sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),xH)),sdtpldt0(sdtasdt0(xE,sdtpldt0(xH,xH)),xP))|~spl0_26),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f194,f331])).
% 3.06/0.80 fof(f692,plain,(
% 3.06/0.80 ~spl0_5|~spl0_6|spl0_41|~spl0_26),
% 3.06/0.80 inference(split_clause,[status(thm)],[f691,f225,f228,f429,f330])).
% 3.06/0.80 fof(f695,plain,(
% 3.06/0.80 spl0_85 <=> aScalar0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),xH)))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f697,plain,(
% 3.06/0.80 ~aScalar0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),xH)))|spl0_85),
% 3.06/0.80 inference(component_clause,[status(thm)],[f695])).
% 3.06/0.80 fof(f703,plain,(
% 3.06/0.80 spl0_87 <=> aScalar0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xH,xH)),xP))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f705,plain,(
% 3.06/0.80 ~aScalar0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xH,xH)),xP))|spl0_87),
% 3.06/0.80 inference(component_clause,[status(thm)],[f703])).
% 3.06/0.80 fof(f731,plain,(
% 3.06/0.80 ~aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|~aScalar0(sdtasdt0(sdtpldt0(xE,xE),xH))|spl0_85),
% 3.06/0.80 inference(resolution,[status(thm)],[f697,f83])).
% 3.06/0.80 fof(f732,plain,(
% 3.06/0.80 ~spl0_31|~spl0_53|spl0_85),
% 3.06/0.80 inference(split_clause,[status(thm)],[f731,f355,f501,f695])).
% 3.06/0.80 fof(f733,plain,(
% 3.06/0.80 ~aScalar0(sdtasdt0(xE,sdtpldt0(xH,xH)))|~aScalar0(xP)|spl0_87),
% 3.06/0.80 inference(resolution,[status(thm)],[f705,f83])).
% 3.06/0.80 fof(f734,plain,(
% 3.06/0.80 ~spl0_42|~spl0_10|spl0_87),
% 3.06/0.80 inference(split_clause,[status(thm)],[f733,f440,f248,f703])).
% 3.06/0.80 fof(f790,plain,(
% 3.06/0.80 spl0_102 <=> aScalar0(sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),xE),sdtpldt0(sdtpldt0(xH,xH),xH)))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f791,plain,(
% 3.06/0.80 aScalar0(sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),xE),sdtpldt0(sdtpldt0(xH,xH),xH)))|~spl0_102),
% 3.06/0.80 inference(component_clause,[status(thm)],[f790])).
% 3.06/0.80 fof(f793,plain,(
% 3.06/0.80 ~aScalar0(sdtpldt0(sdtpldt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xE,xE),xH)))|~aScalar0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xH,xH)),xP))|aScalar0(sdtasdt0(sdtpldt0(sdtpldt0(xE,xE),xE),sdtpldt0(sdtpldt0(xH,xH),xH)))|~spl0_41),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f430,f83])).
% 3.06/0.80 fof(f794,plain,(
% 3.06/0.80 ~spl0_85|~spl0_87|spl0_102|~spl0_41),
% 3.06/0.80 inference(split_clause,[status(thm)],[f793,f695,f703,f790,f429])).
% 3.06/0.80 fof(f1073,plain,(
% 3.06/0.80 $false|~spl0_0|~spl0_102),
% 3.06/0.80 inference(backward_subsumption_resolution,[status(thm)],[f791,f204])).
% 3.06/0.80 fof(f1074,plain,(
% 3.06/0.80 ~spl0_0|~spl0_102),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f1073])).
% 3.06/0.80 fof(f1162,plain,(
% 3.06/0.80 spl0_151 <=> aScalar0(sz0z00)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1164,plain,(
% 3.06/0.80 ~aScalar0(sz0z00)|spl0_151),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1162])).
% 3.06/0.80 fof(f1167,plain,(
% 3.06/0.80 spl0_152 <=> aVector0(xt)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1169,plain,(
% 3.06/0.80 ~aVector0(xt)|spl0_152),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1167])).
% 3.06/0.80 fof(f1175,plain,(
% 3.06/0.80 $false|spl0_152),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1169,f160])).
% 3.06/0.80 fof(f1176,plain,(
% 3.06/0.80 spl0_152),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f1175])).
% 3.06/0.80 fof(f1177,plain,(
% 3.06/0.80 spl0_154 <=> aScalar0(xA)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1179,plain,(
% 3.06/0.80 ~aScalar0(xA)|spl0_154),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1177])).
% 3.06/0.80 fof(f1205,plain,(
% 3.06/0.80 $false|spl0_154),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1179,f175])).
% 3.06/0.80 fof(f1206,plain,(
% 3.06/0.80 spl0_154),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f1205])).
% 3.06/0.80 fof(f1207,plain,(
% 3.06/0.80 spl0_160 <=> aScalar0(xB)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1209,plain,(
% 3.06/0.80 ~aScalar0(xB)|spl0_160),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1207])).
% 3.06/0.80 fof(f1235,plain,(
% 3.06/0.80 $false|spl0_160),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1209,f177])).
% 3.06/0.80 fof(f1236,plain,(
% 3.06/0.80 spl0_160),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f1235])).
% 3.06/0.80 fof(f1259,plain,(
% 3.06/0.80 spl0_170 <=> aScalar0(xC)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1261,plain,(
% 3.06/0.80 ~aScalar0(xC)|spl0_170),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1259])).
% 3.06/0.80 fof(f1287,plain,(
% 3.06/0.80 $false|spl0_170),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1261,f179])).
% 3.06/0.80 fof(f1288,plain,(
% 3.06/0.80 spl0_170),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f1287])).
% 3.06/0.80 fof(f1292,plain,(
% 3.06/0.80 spl0_177 <=> aScalar0(xD)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1294,plain,(
% 3.06/0.80 ~aScalar0(xD)|spl0_177),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1292])).
% 3.06/0.80 fof(f1324,plain,(
% 3.06/0.80 $false|spl0_177),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1294,f181])).
% 3.06/0.80 fof(f1325,plain,(
% 3.06/0.80 spl0_177),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f1324])).
% 3.06/0.80 fof(f1375,plain,(
% 3.06/0.80 spl0_192 <=> aNaturalNumber0(aDimensionOf0(xp))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1377,plain,(
% 3.06/0.80 ~aNaturalNumber0(aDimensionOf0(xp))|spl0_192),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1375])).
% 3.06/0.80 fof(f1390,plain,(
% 3.06/0.80 ~aVector0(xp)|spl0_192),
% 3.06/0.80 inference(resolution,[status(thm)],[f1377,f137])).
% 3.06/0.80 fof(f1391,plain,(
% 3.06/0.80 $false|spl0_192),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1390,f166])).
% 3.06/0.80 fof(f1392,plain,(
% 3.06/0.80 spl0_192),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f1391])).
% 3.06/0.80 fof(f1440,plain,(
% 3.06/0.80 $false|spl0_151),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f1164,f81])).
% 3.06/0.80 fof(f1441,plain,(
% 3.06/0.80 spl0_151),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f1440])).
% 3.06/0.80 fof(f1489,plain,(
% 3.06/0.80 spl0_212 <=> sdtasdt0(xE,smndt0(xH))=smndt0(xP)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1490,plain,(
% 3.06/0.80 sdtasdt0(xE,smndt0(xH))=smndt0(xP)|~spl0_212),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1489])).
% 3.06/0.80 fof(f1492,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(xH)|sdtasdt0(xE,smndt0(xH))=smndt0(xP)),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f194,f108])).
% 3.06/0.80 fof(f1493,plain,(
% 3.06/0.80 ~spl0_5|~spl0_6|spl0_212),
% 3.06/0.80 inference(split_clause,[status(thm)],[f1492,f225,f228,f1489])).
% 3.06/0.80 fof(f1539,plain,(
% 3.06/0.80 spl0_222 <=> sdtasdt0(smndt0(xE),xH)=smndt0(xP)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1540,plain,(
% 3.06/0.80 sdtasdt0(smndt0(xE),xH)=smndt0(xP)|~spl0_222),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1539])).
% 3.06/0.80 fof(f1542,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(xH)|sdtasdt0(smndt0(xE),xH)=smndt0(xP)),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f194,f109])).
% 3.06/0.80 fof(f1543,plain,(
% 3.06/0.80 ~spl0_5|~spl0_6|spl0_222),
% 3.06/0.80 inference(split_clause,[status(thm)],[f1542,f225,f228,f1539])).
% 3.06/0.80 fof(f1933,plain,(
% 3.06/0.80 spl0_300 <=> aScalar0(smndt0(xH))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1935,plain,(
% 3.06/0.80 ~aScalar0(smndt0(xH))|spl0_300),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1933])).
% 3.06/0.80 fof(f1954,plain,(
% 3.06/0.80 spl0_305 <=> sdtasdt0(smndt0(xE),smndt0(xH))=smndt0(smndt0(xP))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f1955,plain,(
% 3.06/0.80 sdtasdt0(smndt0(xE),smndt0(xH))=smndt0(smndt0(xP))|~spl0_305),
% 3.06/0.80 inference(component_clause,[status(thm)],[f1954])).
% 3.06/0.80 fof(f1957,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(smndt0(xH))|sdtasdt0(smndt0(xE),smndt0(xH))=smndt0(smndt0(xP))|~spl0_212),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f1490,f109])).
% 3.06/0.80 fof(f1958,plain,(
% 3.06/0.80 ~spl0_5|~spl0_300|spl0_305|~spl0_212),
% 3.06/0.80 inference(split_clause,[status(thm)],[f1957,f225,f1933,f1954,f1489])).
% 3.06/0.80 fof(f1989,plain,(
% 3.06/0.80 ~aScalar0(xH)|spl0_300),
% 3.06/0.80 inference(resolution,[status(thm)],[f1935,f87])).
% 3.06/0.80 fof(f1990,plain,(
% 3.06/0.80 ~spl0_6|spl0_300),
% 3.06/0.80 inference(split_clause,[status(thm)],[f1989,f228,f1933])).
% 3.06/0.80 fof(f2245,plain,(
% 3.06/0.80 spl0_348 <=> aScalar0(smndt0(xF))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f2247,plain,(
% 3.06/0.80 ~aScalar0(smndt0(xF))|spl0_348),
% 3.06/0.80 inference(component_clause,[status(thm)],[f2245])).
% 3.06/0.80 fof(f2318,plain,(
% 3.06/0.80 ~aScalar0(xF)|spl0_348),
% 3.06/0.80 inference(resolution,[status(thm)],[f2247,f87])).
% 3.06/0.80 fof(f2319,plain,(
% 3.06/0.80 $false|spl0_348),
% 3.06/0.80 inference(forward_subsumption_resolution,[status(thm)],[f2318,f185])).
% 3.06/0.80 fof(f2320,plain,(
% 3.06/0.80 spl0_348),
% 3.06/0.80 inference(contradiction_clause,[status(thm)],[f2319])).
% 3.06/0.80 fof(f2341,plain,(
% 3.06/0.80 spl0_367 <=> aScalar0(smndt0(xE))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f2343,plain,(
% 3.06/0.80 ~aScalar0(smndt0(xE))|spl0_367),
% 3.06/0.80 inference(component_clause,[status(thm)],[f2341])).
% 3.06/0.80 fof(f2403,plain,(
% 3.06/0.80 spl0_379 <=> sdtasdt0(xH,smndt0(xE))=smndt0(xP)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f2404,plain,(
% 3.06/0.80 sdtasdt0(xH,smndt0(xE))=smndt0(xP)|~spl0_379),
% 3.06/0.80 inference(component_clause,[status(thm)],[f2403])).
% 3.06/0.80 fof(f2406,plain,(
% 3.06/0.80 ~aScalar0(xH)|~aScalar0(smndt0(xE))|sdtasdt0(xH,smndt0(xE))=smndt0(xP)|~spl0_3|~spl0_222),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f1540,f215])).
% 3.06/0.80 fof(f2407,plain,(
% 3.06/0.80 ~spl0_6|~spl0_367|spl0_379|~spl0_3|~spl0_222),
% 3.06/0.80 inference(split_clause,[status(thm)],[f2406,f228,f2341,f2403,f214,f1539])).
% 3.06/0.80 fof(f2412,plain,(
% 3.06/0.80 ~aScalar0(xE)|spl0_367),
% 3.06/0.80 inference(resolution,[status(thm)],[f2343,f87])).
% 3.06/0.80 fof(f2413,plain,(
% 3.06/0.80 ~spl0_5|spl0_367),
% 3.06/0.80 inference(split_clause,[status(thm)],[f2412,f225,f2341])).
% 3.06/0.80 fof(f2777,plain,(
% 3.06/0.80 spl0_443 <=> sdtasdt0(smndt0(xH),smndt0(xE))=smndt0(smndt0(xP))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f2778,plain,(
% 3.06/0.80 sdtasdt0(smndt0(xH),smndt0(xE))=smndt0(smndt0(xP))|~spl0_443),
% 3.06/0.80 inference(component_clause,[status(thm)],[f2777])).
% 3.06/0.80 fof(f2780,plain,(
% 3.06/0.80 ~aScalar0(xH)|~aScalar0(smndt0(xE))|sdtasdt0(smndt0(xH),smndt0(xE))=smndt0(smndt0(xP))|~spl0_379),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f2404,f109])).
% 3.06/0.80 fof(f2781,plain,(
% 3.06/0.80 ~spl0_6|~spl0_367|spl0_443|~spl0_379),
% 3.06/0.80 inference(split_clause,[status(thm)],[f2780,f228,f2341,f2777,f2403])).
% 3.06/0.80 fof(f3060,plain,(
% 3.06/0.80 spl0_482 <=> smndt0(smndt0(xP))=sdtasdt0(xE,xH)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f3061,plain,(
% 3.06/0.80 smndt0(smndt0(xP))=sdtasdt0(xE,xH)|~spl0_482),
% 3.06/0.80 inference(component_clause,[status(thm)],[f3060])).
% 3.06/0.80 fof(f3063,plain,(
% 3.06/0.80 ~aScalar0(xE)|~aScalar0(xH)|smndt0(smndt0(xP))=sdtasdt0(xE,xH)|~spl0_305),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f1955,f111])).
% 3.06/0.80 fof(f3064,plain,(
% 3.06/0.80 ~spl0_5|~spl0_6|spl0_482|~spl0_305),
% 3.06/0.80 inference(split_clause,[status(thm)],[f3063,f225,f228,f3060,f1954])).
% 3.06/0.80 fof(f3155,plain,(
% 3.06/0.80 smndt0(smndt0(xP))=xP|~spl0_482),
% 3.06/0.80 inference(forward_demodulation,[status(thm)],[f194,f3061])).
% 3.06/0.80 fof(f4301,plain,(
% 3.06/0.80 sdtasdt0(smndt0(xH),smndt0(xE))=xP|~spl0_482|~spl0_443),
% 3.06/0.80 inference(forward_demodulation,[status(thm)],[f3155,f2778])).
% 3.06/0.80 fof(f4302,plain,(
% 3.06/0.80 spl0_709 <=> xP=sdtasdt0(xH,xE)),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f4303,plain,(
% 3.06/0.80 xP=sdtasdt0(xH,xE)|~spl0_709),
% 3.06/0.80 inference(component_clause,[status(thm)],[f4302])).
% 3.06/0.80 fof(f4305,plain,(
% 3.06/0.80 ~aScalar0(xH)|~aScalar0(xE)|xP=sdtasdt0(xH,xE)|~spl0_482|~spl0_443),
% 3.06/0.80 inference(paramodulation,[status(thm)],[f4301,f111])).
% 3.06/0.80 fof(f4306,plain,(
% 3.06/0.80 ~spl0_6|~spl0_5|spl0_709|~spl0_482|~spl0_443),
% 3.06/0.80 inference(split_clause,[status(thm)],[f4305,f228,f225,f4302,f3060,f2777])).
% 3.06/0.80 fof(f4398,plain,(
% 3.06/0.80 ~sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))=sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))|~spl0_709),
% 3.06/0.80 inference(backward_demodulation,[status(thm)],[f4303,f221])).
% 3.06/0.80 fof(f4495,plain,(
% 3.06/0.80 spl0_745 <=> aScalar0(sdtasdt0(xH,xH))),
% 3.06/0.80 introduced(split_symbol_definition)).
% 3.06/0.80 fof(f4497,plain,(
% 3.06/0.80 ~aScalar0(sdtasdt0(xH,xH))|spl0_745),
% 3.06/0.80 inference(component_clause,[status(thm)],[f4495])).
% 3.06/0.80 fof(f4498,plain,(
% 3.06/0.80 ~aScalar0(xP)|~aScalar0(xP)|~aScalar0(sdtasdt0(xH,xH))|~spl0_709),
% 3.06/0.80 inference(resolution,[status(thm)],[f4398,f98])).
% 3.06/0.80 fof(f4499,plain,(
% 3.06/0.80 ~spl0_10|~spl0_745|~spl0_709),
% 3.06/0.80 inference(split_clause,[status(thm)],[f4498,f248,f4495,f4302])).
% 3.06/0.80 fof(f4500,plain,(
% 3.06/0.80 ~aScalar0(xH)|~aScalar0(xH)|spl0_745),
% 3.06/0.80 inference(resolution,[status(thm)],[f4497,f85])).
% 3.06/0.80 fof(f4501,plain,(
% 3.06/0.80 ~spl0_6|spl0_745),
% 3.06/0.80 inference(split_clause,[status(thm)],[f4500,f228,f4495])).
% 3.06/0.80 fof(f4502,plain,(
% 3.06/0.80 $false),
% 3.06/0.80 inference(sat_refutation,[status(thm)],[f217,f252,f254,f256,f261,f296,f334,f359,f361,f363,f500,f507,f692,f732,f734,f794,f1074,f1176,f1206,f1236,f1288,f1325,f1392,f1441,f1493,f1543,f1958,f1990,f2320,f2407,f2413,f2781,f3064,f4306,f4499,f4501])).
% 3.06/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 3.06/0.80 % Elapsed time: 0.455512 seconds
% 3.06/0.80 % CPU time: 3.481777 seconds
% 3.06/0.80 % Total memory used: 117.131 MB
% 3.06/0.80 % Net memory used: 113.775 MB
%------------------------------------------------------------------------------