TSTP Solution File: NUM494+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM494+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:34:54 EDT 2024
% Result : Theorem 0.14s 0.52s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM494+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 21:22:10 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.52 fof(f2,axiom,(
% 0.14/0.52 aNaturalNumber0(sz00) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f3,axiom,(
% 0.14/0.52 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f4,axiom,(
% 0.14/0.52 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f14,axiom,(
% 0.14/0.52 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f19,definition,(
% 0.14/0.52 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)=> (! [W2] :( W2 = sdtmndt0(W1,W0)<=> ( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) ) )) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f20,axiom,(
% 0.14/0.52 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f21,axiom,(
% 0.14/0.52 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f22,axiom,(
% 0.14/0.52 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f23,axiom,(
% 0.14/0.52 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f24,axiom,(
% 0.14/0.52 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != W1& sdtlseqdt0(W0,W1) )=> (! [W2] :( aNaturalNumber0(W2)=> ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)& sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))& sdtpldt0(W0,W2) != sdtpldt0(W1,W2)& sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) )) ) )),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f39,hypothesis,(
% 0.14/0.52 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f42,hypothesis,(
% 0.14/0.52 sdtlseqdt0(xp,xn) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f43,hypothesis,(
% 0.14/0.52 xr = sdtmndt0(xn,xp) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f44,hypothesis,(
% 0.14/0.52 ( xr != xn& sdtlseqdt0(xr,xn) ) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f46,conjecture,(
% 0.14/0.52 ( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f47,negated_conjecture,(
% 0.14/0.52 ~(( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) )),
% 0.14/0.52 inference(negated_conjecture,[status(cth)],[f46])).
% 0.14/0.52 fof(f51,plain,(
% 0.14/0.52 aNaturalNumber0(sz00)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.52 fof(f52,plain,(
% 0.14/0.52 aNaturalNumber0(sz10)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.52 fof(f53,plain,(
% 0.14/0.52 ~sz10=sz00),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.52 fof(f54,plain,(
% 0.14/0.52 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.52 fof(f55,plain,(
% 0.14/0.52 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f54])).
% 0.14/0.52 fof(f78,plain,(
% 0.14/0.52 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.14/0.52 fof(f80,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X1,X0)=sdtpldt0(X2,X0)|X1=X2)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f78])).
% 0.14/0.52 fof(f95,plain,(
% 0.14/0.52 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: (W2=sdtmndt0(W1,W0)<=>(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.14/0.52 fof(f96,plain,(
% 0.14/0.52 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: ((~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))&(W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 0.14/0.52 inference(NNF_transformation,[status(esa)],[f95])).
% 0.14/0.52 fof(f97,plain,(
% 0.14/0.52 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|((![W2]: (~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(![W2]: (W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 0.14/0.52 inference(miniscoping,[status(esa)],[f96])).
% 0.14/0.52 fof(f98,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~X2=sdtmndt0(X1,X0)|aNaturalNumber0(X2))),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f97])).
% 0.14/0.52 fof(f101,plain,(
% 0.14/0.52 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.14/0.52 fof(f102,plain,(
% 0.14/0.52 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f101])).
% 0.14/0.52 fof(f103,plain,(
% 0.14/0.52 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.14/0.52 fof(f104,plain,(
% 0.14/0.52 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f103])).
% 0.14/0.52 fof(f105,plain,(
% 0.14/0.52 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.14/0.52 fof(f106,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f105])).
% 0.14/0.52 fof(f107,plain,(
% 0.14/0.52 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.14/0.52 fof(f109,plain,(
% 0.14/0.52 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f107])).
% 0.14/0.52 fof(f110,plain,(
% 0.14/0.52 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=W1|~sdtlseqdt0(W0,W1))|(![W2]: (~aNaturalNumber0(W2)|(((~sdtpldt0(W2,W0)=sdtpldt0(W2,W1)&sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)))&~sdtpldt0(W0,W2)=sdtpldt0(W1,W2))&sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)))))))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.14/0.52 fof(f114,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)))),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f110])).
% 0.14/0.52 fof(f166,plain,(
% 0.14/0.52 aNaturalNumber0(xn)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.52 fof(f167,plain,(
% 0.14/0.52 aNaturalNumber0(xm)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.52 fof(f168,plain,(
% 0.14/0.52 aNaturalNumber0(xp)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.52 fof(f173,plain,(
% 0.14/0.52 sdtlseqdt0(xp,xn)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.52 fof(f174,plain,(
% 0.14/0.52 xr=sdtmndt0(xn,xp)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f43])).
% 0.14/0.52 fof(f175,plain,(
% 0.14/0.52 ~xr=xn),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f44])).
% 0.14/0.52 fof(f176,plain,(
% 0.14/0.52 sdtlseqdt0(xr,xn)),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f44])).
% 0.14/0.52 fof(f178,plain,(
% 0.14/0.52 (sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)))),
% 0.14/0.52 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.14/0.52 fof(f179,plain,(
% 0.14/0.52 sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),
% 0.14/0.52 inference(cnf_transformation,[status(esa)],[f178])).
% 0.14/0.52 fof(f180,plain,(
% 0.14/0.52 spl0_0 <=> sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f181,plain,(
% 0.14/0.52 sdtpldt0(sdtpldt0(xr,xm),xp)=sdtpldt0(sdtpldt0(xn,xm),xp)|~spl0_0),
% 0.14/0.52 inference(component_clause,[status(thm)],[f180])).
% 0.14/0.52 fof(f183,plain,(
% 0.14/0.52 spl0_1 <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f185,plain,(
% 0.14/0.52 ~sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))|spl0_1),
% 0.14/0.52 inference(component_clause,[status(thm)],[f183])).
% 0.14/0.52 fof(f186,plain,(
% 0.14/0.52 spl0_0|~spl0_1),
% 0.14/0.52 inference(split_clause,[status(thm)],[f179,f180,f183])).
% 0.14/0.52 fof(f200,plain,(
% 0.14/0.52 spl0_5 <=> aNaturalNumber0(sdtpldt0(xr,xm))),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f202,plain,(
% 0.14/0.52 ~aNaturalNumber0(sdtpldt0(xr,xm))|spl0_5),
% 0.14/0.52 inference(component_clause,[status(thm)],[f200])).
% 0.14/0.52 fof(f203,plain,(
% 0.14/0.52 spl0_6 <=> aNaturalNumber0(xp)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f205,plain,(
% 0.14/0.52 ~aNaturalNumber0(xp)|spl0_6),
% 0.14/0.52 inference(component_clause,[status(thm)],[f203])).
% 0.14/0.52 fof(f208,plain,(
% 0.14/0.52 $false|spl0_6),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f205,f168])).
% 0.14/0.52 fof(f209,plain,(
% 0.14/0.52 spl0_6),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f208])).
% 0.14/0.52 fof(f210,plain,(
% 0.14/0.52 spl0_7 <=> aNaturalNumber0(xr)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f213,plain,(
% 0.14/0.52 spl0_8 <=> aNaturalNumber0(xm)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f215,plain,(
% 0.14/0.52 ~aNaturalNumber0(xm)|spl0_8),
% 0.14/0.52 inference(component_clause,[status(thm)],[f213])).
% 0.14/0.52 fof(f216,plain,(
% 0.14/0.52 ~aNaturalNumber0(xr)|~aNaturalNumber0(xm)|spl0_5),
% 0.14/0.52 inference(resolution,[status(thm)],[f202,f55])).
% 0.14/0.52 fof(f217,plain,(
% 0.14/0.52 ~spl0_7|~spl0_8|spl0_5),
% 0.14/0.52 inference(split_clause,[status(thm)],[f216,f210,f213,f200])).
% 0.14/0.52 fof(f218,plain,(
% 0.14/0.52 $false|spl0_8),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f215,f167])).
% 0.14/0.52 fof(f219,plain,(
% 0.14/0.52 spl0_8),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f218])).
% 0.14/0.52 fof(f220,plain,(
% 0.14/0.52 spl0_9 <=> aNaturalNumber0(sdtpldt0(xn,xm))),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f222,plain,(
% 0.14/0.52 ~aNaturalNumber0(sdtpldt0(xn,xm))|spl0_9),
% 0.14/0.52 inference(component_clause,[status(thm)],[f220])).
% 0.14/0.52 fof(f225,plain,(
% 0.14/0.52 spl0_10 <=> aNaturalNumber0(xn)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f227,plain,(
% 0.14/0.52 ~aNaturalNumber0(xn)|spl0_10),
% 0.14/0.52 inference(component_clause,[status(thm)],[f225])).
% 0.14/0.52 fof(f228,plain,(
% 0.14/0.52 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|spl0_9),
% 0.14/0.52 inference(resolution,[status(thm)],[f222,f55])).
% 0.14/0.52 fof(f229,plain,(
% 0.14/0.52 ~spl0_10|~spl0_8|spl0_9),
% 0.14/0.52 inference(split_clause,[status(thm)],[f228,f225,f213,f220])).
% 0.14/0.52 fof(f230,plain,(
% 0.14/0.52 $false|spl0_10),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f227,f166])).
% 0.14/0.52 fof(f231,plain,(
% 0.14/0.52 spl0_10),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f230])).
% 0.14/0.52 fof(f243,plain,(
% 0.14/0.52 spl0_13 <=> sdtlseqdt0(xn,xr)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f245,plain,(
% 0.14/0.52 ~sdtlseqdt0(xn,xr)|spl0_13),
% 0.14/0.52 inference(component_clause,[status(thm)],[f243])).
% 0.14/0.52 fof(f246,plain,(
% 0.14/0.52 spl0_14 <=> xn=xr),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f247,plain,(
% 0.14/0.52 xn=xr|~spl0_14),
% 0.14/0.52 inference(component_clause,[status(thm)],[f246])).
% 0.14/0.52 fof(f249,plain,(
% 0.14/0.52 ~aNaturalNumber0(xn)|~aNaturalNumber0(xr)|~sdtlseqdt0(xn,xr)|xn=xr),
% 0.14/0.52 inference(resolution,[status(thm)],[f104,f176])).
% 0.14/0.52 fof(f250,plain,(
% 0.14/0.52 ~spl0_10|~spl0_7|~spl0_13|spl0_14),
% 0.14/0.52 inference(split_clause,[status(thm)],[f249,f225,f210,f243,f246])).
% 0.14/0.52 fof(f269,plain,(
% 0.14/0.52 spl0_17 <=> sdtlseqdt0(xp,xn)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f286,plain,(
% 0.14/0.52 spl0_20 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xn)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f287,plain,(
% 0.14/0.52 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xn)|~spl0_20)),
% 0.14/0.52 inference(component_clause,[status(thm)],[f286])).
% 0.14/0.52 fof(f289,plain,(
% 0.14/0.52 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xn))),
% 0.14/0.52 inference(resolution,[status(thm)],[f106,f173])).
% 0.14/0.52 fof(f290,plain,(
% 0.14/0.52 spl0_20|~spl0_6|~spl0_10),
% 0.14/0.52 inference(split_clause,[status(thm)],[f289,f286,f203,f225])).
% 0.14/0.52 fof(f344,plain,(
% 0.14/0.52 spl0_26 <=> sdtpldt0(xr,xm)=sdtpldt0(xn,xm)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f345,plain,(
% 0.14/0.52 sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~spl0_26),
% 0.14/0.52 inference(component_clause,[status(thm)],[f344])).
% 0.14/0.52 fof(f347,plain,(
% 0.14/0.52 spl0_27 <=> sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f349,plain,(
% 0.14/0.52 ~sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))|spl0_27),
% 0.14/0.52 inference(component_clause,[status(thm)],[f347])).
% 0.14/0.52 fof(f350,plain,(
% 0.14/0.52 ~aNaturalNumber0(sdtpldt0(xr,xm))|~aNaturalNumber0(sdtpldt0(xn,xm))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))|~aNaturalNumber0(xp)|spl0_1),
% 0.14/0.52 inference(resolution,[status(thm)],[f114,f185])).
% 0.14/0.52 fof(f351,plain,(
% 0.14/0.52 ~spl0_5|~spl0_9|spl0_26|~spl0_27|~spl0_6|spl0_1),
% 0.14/0.52 inference(split_clause,[status(thm)],[f350,f200,f220,f344,f347,f203,f183])).
% 0.14/0.52 fof(f627,plain,(
% 0.14/0.52 ~aNaturalNumber0(xp)|sdtlseqdt0(xp,xn)|~aNaturalNumber0(xp)|~spl0_20),
% 0.14/0.52 inference(resolution,[status(thm)],[f287,f102])).
% 0.14/0.52 fof(f628,plain,(
% 0.14/0.52 ~spl0_6|spl0_17|~spl0_20),
% 0.14/0.52 inference(split_clause,[status(thm)],[f627,f203,f269,f286])).
% 0.14/0.52 fof(f811,plain,(
% 0.14/0.52 spl0_67 <=> aNaturalNumber0(sz10)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f813,plain,(
% 0.14/0.52 ~aNaturalNumber0(sz10)|spl0_67),
% 0.14/0.52 inference(component_clause,[status(thm)],[f811])).
% 0.14/0.52 fof(f814,plain,(
% 0.14/0.52 spl0_68 <=> sz10=sz00),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f815,plain,(
% 0.14/0.52 sz10=sz00|~spl0_68),
% 0.14/0.52 inference(component_clause,[status(thm)],[f814])).
% 0.14/0.52 fof(f837,plain,(
% 0.14/0.52 spl0_71 <=> sdtlseqdt0(xr,xn)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f840,plain,(
% 0.14/0.52 ~aNaturalNumber0(xr)|~aNaturalNumber0(xn)|sdtlseqdt0(xr,xn)|spl0_13),
% 0.14/0.52 inference(resolution,[status(thm)],[f245,f109])).
% 0.14/0.52 fof(f841,plain,(
% 0.14/0.52 ~spl0_7|~spl0_10|spl0_71|spl0_13),
% 0.14/0.52 inference(split_clause,[status(thm)],[f840,f210,f225,f837,f243])).
% 0.14/0.52 fof(f872,plain,(
% 0.14/0.52 ~aNaturalNumber0(xr)|~aNaturalNumber0(xn)|xr=xn|~sdtlseqdt0(xr,xn)|~aNaturalNumber0(xm)|spl0_27),
% 0.14/0.52 inference(resolution,[status(thm)],[f349,f114])).
% 0.14/0.52 fof(f873,plain,(
% 0.14/0.52 ~spl0_7|~spl0_10|spl0_14|~spl0_71|~spl0_8|spl0_27),
% 0.14/0.52 inference(split_clause,[status(thm)],[f872,f210,f225,f246,f837,f213,f347])).
% 0.14/0.52 fof(f894,plain,(
% 0.14/0.52 ~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~sdtlseqdt0(xp,xn)|aNaturalNumber0(xr)),
% 0.14/0.52 inference(resolution,[status(thm)],[f98,f174])).
% 0.14/0.52 fof(f895,plain,(
% 0.14/0.52 ~spl0_6|~spl0_10|~spl0_17|spl0_7),
% 0.14/0.52 inference(split_clause,[status(thm)],[f894,f203,f225,f269,f210])).
% 0.14/0.52 fof(f903,plain,(
% 0.14/0.52 $false|~spl0_14),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f247,f175])).
% 0.14/0.52 fof(f904,plain,(
% 0.14/0.52 ~spl0_14),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f903])).
% 0.14/0.52 fof(f929,plain,(
% 0.14/0.52 ~aNaturalNumber0(xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(xn)|xr=xn|~spl0_26),
% 0.14/0.52 inference(resolution,[status(thm)],[f345,f80])).
% 0.14/0.52 fof(f930,plain,(
% 0.14/0.52 ~spl0_8|~spl0_7|~spl0_10|spl0_14|~spl0_26),
% 0.14/0.52 inference(split_clause,[status(thm)],[f929,f213,f210,f225,f246,f344])).
% 0.14/0.52 fof(f1174,plain,(
% 0.14/0.52 $false|spl0_67),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f813,f52])).
% 0.14/0.52 fof(f1175,plain,(
% 0.14/0.52 spl0_67),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f1174])).
% 0.14/0.52 fof(f1176,plain,(
% 0.14/0.52 $false|~spl0_68),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f815,f53])).
% 0.14/0.52 fof(f1177,plain,(
% 0.14/0.52 ~spl0_68),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f1176])).
% 0.14/0.52 fof(f1191,plain,(
% 0.14/0.52 spl0_118 <=> aNaturalNumber0(sz00)),
% 0.14/0.52 introduced(split_symbol_definition)).
% 0.14/0.52 fof(f1193,plain,(
% 0.14/0.52 ~aNaturalNumber0(sz00)|spl0_118),
% 0.14/0.52 inference(component_clause,[status(thm)],[f1191])).
% 0.14/0.52 fof(f1207,plain,(
% 0.14/0.52 $false|spl0_118),
% 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1193,f51])).
% 0.14/0.52 fof(f1208,plain,(
% 0.14/0.52 spl0_118),
% 0.14/0.52 inference(contradiction_clause,[status(thm)],[f1207])).
% 0.14/0.52 fof(f1538,plain,(
% 0.14/0.52 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(xr,xm))|~aNaturalNumber0(sdtpldt0(xn,xm))|sdtpldt0(xr,xm)=sdtpldt0(xn,xm)|~spl0_0),
% 0.14/0.52 inference(resolution,[status(thm)],[f181,f80])).
% 0.14/0.52 fof(f1539,plain,(
% 0.14/0.52 ~spl0_6|~spl0_5|~spl0_9|spl0_26|~spl0_0),
% 0.14/0.52 inference(split_clause,[status(thm)],[f1538,f203,f200,f220,f344,f180])).
% 0.14/0.52 fof(f1670,plain,(
% 0.14/0.52 $false),
% 0.14/0.53 inference(sat_refutation,[status(thm)],[f186,f209,f217,f219,f229,f231,f250,f290,f351,f628,f841,f873,f895,f904,f930,f1175,f1177,f1208,f1539])).
% 0.14/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.53 % Elapsed time: 0.231653 seconds
% 0.14/0.53 % CPU time: 1.747054 seconds
% 0.14/0.53 % Total memory used: 81.586 MB
% 0.14/0.53 % Net memory used: 80.412 MB
%------------------------------------------------------------------------------