TSTP Solution File: NUM527+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM527+1 : 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 20:35:01 EDT 2024
% Result : Theorem 2.09s 0.61s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM527+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 20:39:12 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 2.09/0.61 % Refutation found
% 2.09/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.09/0.61 % SZS output start CNFRefutation for theBenchmark
% 2.09/0.61 fof(f2,axiom,(
% 2.09/0.61 aNaturalNumber0(sz00) ),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f3,axiom,(
% 2.09/0.61 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f5,axiom,(
% 2.09/0.61 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f15,axiom,(
% 2.09/0.61 (! [W0] :( aNaturalNumber0(W0)=> ( W0 != sz00=> (! [W1,W2] :( ( aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )=> W1 = W2 ) ) )) ) )),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f20,axiom,(
% 2.09/0.61 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f21,axiom,(
% 2.09/0.61 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f22,axiom,(
% 2.09/0.61 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f23,axiom,(
% 2.09/0.61 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f25,axiom,(
% 2.09/0.61 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( W0 != sz00& W1 != W2& sdtlseqdt0(W1,W2) )=> ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)& sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(W1,W0) != sdtasdt0(W2,W0)& sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) )),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f40,hypothesis,(
% 2.09/0.61 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp)& xn != sz00& xm != sz00& xp != sz00 ) ),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f47,conjecture,(
% 2.09/0.61 ( sdtlseqdt0(xn,xm)=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
% 2.09/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.09/0.61 fof(f48,negated_conjecture,(
% 2.09/0.61 ~(( sdtlseqdt0(xn,xm)=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) )),
% 2.09/0.61 inference(negated_conjecture,[status(cth)],[f47])).
% 2.09/0.61 fof(f52,plain,(
% 2.09/0.61 aNaturalNumber0(sz00)),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f2])).
% 2.09/0.61 fof(f53,plain,(
% 2.09/0.61 aNaturalNumber0(sz10)),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f3])).
% 2.09/0.61 fof(f54,plain,(
% 2.09/0.61 ~sz10=sz00),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f3])).
% 2.09/0.61 fof(f57,plain,(
% 2.09/0.61 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 2.09/0.61 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.09/0.61 fof(f58,plain,(
% 2.09/0.61 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f57])).
% 2.09/0.61 fof(f82,plain,(
% 2.09/0.61 ![W0]: (~aNaturalNumber0(W0)|(W0=sz00|(![W1,W2]: ((~aNaturalNumber0(W1)|~aNaturalNumber0(W2))|((~sdtasdt0(W0,W1)=sdtasdt0(W0,W2)&~sdtasdt0(W1,W0)=sdtasdt0(W2,W0))|W1=W2)))))),
% 2.09/0.61 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.09/0.61 fof(f83,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|X1=X2)),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f82])).
% 2.09/0.61 fof(f84,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X1,X0)=sdtasdt0(X2,X0)|X1=X2)),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f82])).
% 2.09/0.61 fof(f102,plain,(
% 2.09/0.61 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 2.09/0.61 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 2.09/0.61 fof(f103,plain,(
% 2.09/0.61 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f102])).
% 2.09/0.61 fof(f104,plain,(
% 2.09/0.61 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 2.09/0.61 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 2.09/0.61 fof(f105,plain,(
% 2.09/0.61 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f104])).
% 2.09/0.61 fof(f106,plain,(
% 2.09/0.61 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 2.09/0.61 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 2.09/0.61 fof(f107,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f106])).
% 2.09/0.61 fof(f108,plain,(
% 2.09/0.61 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 2.09/0.61 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 2.09/0.61 fof(f110,plain,(
% 2.09/0.61 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f108])).
% 2.09/0.61 fof(f116,plain,(
% 2.09/0.61 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|(((W0=sz00|W1=W2)|~sdtlseqdt0(W1,W2))|(((~sdtasdt0(W0,W1)=sdtasdt0(W0,W2)&sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)))&~sdtasdt0(W1,W0)=sdtasdt0(W2,W0))&sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)))))),
% 2.09/0.61 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 2.09/0.61 fof(f118,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f116])).
% 2.09/0.61 fof(f120,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f116])).
% 2.09/0.61 fof(f169,plain,(
% 2.09/0.61 aNaturalNumber0(xn)),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f40])).
% 2.09/0.61 fof(f170,plain,(
% 2.09/0.61 aNaturalNumber0(xm)),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f40])).
% 2.09/0.61 fof(f172,plain,(
% 2.09/0.61 ~xn=sz00),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f40])).
% 2.09/0.61 fof(f173,plain,(
% 2.09/0.61 ~xm=sz00),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f40])).
% 2.09/0.61 fof(f183,plain,(
% 2.09/0.61 (sdtlseqdt0(xn,xm)&~sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)))),
% 2.09/0.61 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 2.09/0.61 fof(f184,plain,(
% 2.09/0.61 sdtlseqdt0(xn,xm)),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f183])).
% 2.09/0.61 fof(f185,plain,(
% 2.09/0.61 ~sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))),
% 2.09/0.61 inference(cnf_transformation,[status(esa)],[f183])).
% 2.09/0.61 fof(f198,plain,(
% 2.09/0.61 spl0_0 <=> aNaturalNumber0(sdtasdt0(xm,xm))),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f200,plain,(
% 2.09/0.61 ~aNaturalNumber0(sdtasdt0(xm,xm))|spl0_0),
% 2.09/0.61 inference(component_clause,[status(thm)],[f198])).
% 2.09/0.61 fof(f201,plain,(
% 2.09/0.61 spl0_1 <=> aNaturalNumber0(sdtasdt0(xn,xn))),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f203,plain,(
% 2.09/0.61 ~aNaturalNumber0(sdtasdt0(xn,xn))|spl0_1),
% 2.09/0.61 inference(component_clause,[status(thm)],[f201])).
% 2.09/0.61 fof(f204,plain,(
% 2.09/0.61 spl0_2 <=> sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f205,plain,(
% 2.09/0.61 sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))|~spl0_2),
% 2.09/0.61 inference(component_clause,[status(thm)],[f204])).
% 2.09/0.61 fof(f207,plain,(
% 2.09/0.61 ~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xn,xn))|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))),
% 2.09/0.61 inference(resolution,[status(thm)],[f110,f185])).
% 2.09/0.61 fof(f208,plain,(
% 2.09/0.61 ~spl0_0|~spl0_1|spl0_2),
% 2.09/0.61 inference(split_clause,[status(thm)],[f207,f198,f201,f204])).
% 2.09/0.61 fof(f209,plain,(
% 2.09/0.61 spl0_3 <=> aNaturalNumber0(xn)),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f211,plain,(
% 2.09/0.61 ~aNaturalNumber0(xn)|spl0_3),
% 2.09/0.61 inference(component_clause,[status(thm)],[f209])).
% 2.09/0.61 fof(f212,plain,(
% 2.09/0.61 ~aNaturalNumber0(xn)|~aNaturalNumber0(xn)|spl0_1),
% 2.09/0.61 inference(resolution,[status(thm)],[f203,f58])).
% 2.09/0.61 fof(f213,plain,(
% 2.09/0.61 ~spl0_3|spl0_1),
% 2.09/0.61 inference(split_clause,[status(thm)],[f212,f209,f201])).
% 2.09/0.61 fof(f214,plain,(
% 2.09/0.61 $false|spl0_3),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f211,f169])).
% 2.09/0.61 fof(f215,plain,(
% 2.09/0.61 spl0_3),
% 2.09/0.61 inference(contradiction_clause,[status(thm)],[f214])).
% 2.09/0.61 fof(f216,plain,(
% 2.09/0.61 spl0_4 <=> aNaturalNumber0(xm)),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f218,plain,(
% 2.09/0.61 ~aNaturalNumber0(xm)|spl0_4),
% 2.09/0.61 inference(component_clause,[status(thm)],[f216])).
% 2.09/0.61 fof(f219,plain,(
% 2.09/0.61 ~aNaturalNumber0(xm)|~aNaturalNumber0(xm)|spl0_0),
% 2.09/0.61 inference(resolution,[status(thm)],[f200,f58])).
% 2.09/0.61 fof(f220,plain,(
% 2.09/0.61 ~spl0_4|spl0_0),
% 2.09/0.61 inference(split_clause,[status(thm)],[f219,f216,f198])).
% 2.09/0.61 fof(f221,plain,(
% 2.09/0.61 $false|spl0_4),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f218,f170])).
% 2.09/0.61 fof(f222,plain,(
% 2.09/0.61 spl0_4),
% 2.09/0.61 inference(contradiction_clause,[status(thm)],[f221])).
% 2.09/0.61 fof(f226,plain,(
% 2.09/0.61 spl0_6 <=> sdtasdt0(xn,xn)=sdtasdt0(xm,xm)),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f227,plain,(
% 2.09/0.61 sdtasdt0(xn,xn)=sdtasdt0(xm,xm)|~spl0_6),
% 2.09/0.61 inference(component_clause,[status(thm)],[f226])).
% 2.09/0.61 fof(f228,plain,(
% 2.09/0.61 ~sdtasdt0(xn,xn)=sdtasdt0(xm,xm)|spl0_6),
% 2.09/0.61 inference(component_clause,[status(thm)],[f226])).
% 2.09/0.61 fof(f231,plain,(
% 2.09/0.61 spl0_7 <=> sdtlseqdt0(xm,xn)),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f233,plain,(
% 2.09/0.61 ~sdtlseqdt0(xm,xn)|spl0_7),
% 2.09/0.61 inference(component_clause,[status(thm)],[f231])).
% 2.09/0.61 fof(f234,plain,(
% 2.09/0.61 spl0_8 <=> xm=xn),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f235,plain,(
% 2.09/0.61 xm=xn|~spl0_8),
% 2.09/0.61 inference(component_clause,[status(thm)],[f234])).
% 2.09/0.61 fof(f237,plain,(
% 2.09/0.61 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|~sdtlseqdt0(xm,xn)|xm=xn),
% 2.09/0.61 inference(resolution,[status(thm)],[f105,f184])).
% 2.09/0.61 fof(f238,plain,(
% 2.09/0.61 ~spl0_4|~spl0_3|~spl0_7|spl0_8),
% 2.09/0.61 inference(split_clause,[status(thm)],[f237,f216,f209,f231,f234])).
% 2.09/0.61 fof(f241,plain,(
% 2.09/0.61 spl0_9 <=> sdtlseqdt0(xn,xm)),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f244,plain,(
% 2.09/0.61 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|sdtlseqdt0(xn,xm)|spl0_7),
% 2.09/0.61 inference(resolution,[status(thm)],[f233,f110])).
% 2.09/0.61 fof(f245,plain,(
% 2.09/0.61 ~spl0_3|~spl0_4|spl0_9|spl0_7),
% 2.09/0.61 inference(split_clause,[status(thm)],[f244,f209,f216,f241,f231])).
% 2.09/0.61 fof(f276,plain,(
% 2.09/0.61 spl0_12 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtasdt0(xm,xm))|sdtlseqdt0(X0,sdtasdt0(xn,xn))),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f277,plain,(
% 2.09/0.61 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtasdt0(xm,xm))|sdtlseqdt0(X0,sdtasdt0(xn,xn))|~spl0_12)),
% 2.09/0.61 inference(component_clause,[status(thm)],[f276])).
% 2.09/0.61 fof(f279,plain,(
% 2.09/0.61 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xn,xn))|~sdtlseqdt0(X0,sdtasdt0(xm,xm))|sdtlseqdt0(X0,sdtasdt0(xn,xn))|~spl0_2)),
% 2.09/0.61 inference(resolution,[status(thm)],[f107,f205])).
% 2.09/0.61 fof(f280,plain,(
% 2.09/0.61 spl0_12|~spl0_0|~spl0_1|~spl0_2),
% 2.09/0.61 inference(split_clause,[status(thm)],[f279,f276,f198,f201,f204])).
% 2.09/0.61 fof(f615,plain,(
% 2.09/0.61 spl0_56 <=> ~aNaturalNumber0(X1)),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f616,plain,(
% 2.09/0.61 ![X0]: (~aNaturalNumber0(X0)|~spl0_56)),
% 2.09/0.61 inference(component_clause,[status(thm)],[f615])).
% 2.09/0.61 fof(f632,plain,(
% 2.09/0.61 spl0_59 <=> xm=sz00),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f633,plain,(
% 2.09/0.61 xm=sz00|~spl0_59),
% 2.09/0.61 inference(component_clause,[status(thm)],[f632])).
% 2.09/0.61 fof(f651,plain,(
% 2.09/0.61 $false|~spl0_59),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f633,f173])).
% 2.09/0.61 fof(f652,plain,(
% 2.09/0.61 ~spl0_59),
% 2.09/0.61 inference(contradiction_clause,[status(thm)],[f651])).
% 2.09/0.61 fof(f708,plain,(
% 2.09/0.61 spl0_68 <=> xn=sz00),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f709,plain,(
% 2.09/0.61 xn=sz00|~spl0_68),
% 2.09/0.61 inference(component_clause,[status(thm)],[f708])).
% 2.09/0.61 fof(f975,plain,(
% 2.09/0.61 $false|~spl0_68),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f709,f172])).
% 2.09/0.61 fof(f976,plain,(
% 2.09/0.61 ~spl0_68),
% 2.09/0.61 inference(contradiction_clause,[status(thm)],[f975])).
% 2.09/0.61 fof(f986,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X0,X2))|~aNaturalNumber0(sdtasdt0(X0,X1))|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 2.09/0.61 inference(resolution,[status(thm)],[f118,f105])).
% 2.09/0.61 fof(f987,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f986,f58])).
% 2.09/0.61 fof(f997,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X2,X0))|~aNaturalNumber0(sdtasdt0(X1,X0))|~sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))|sdtasdt0(X2,X0)=sdtasdt0(X1,X0))),
% 2.09/0.61 inference(resolution,[status(thm)],[f120,f105])).
% 2.09/0.61 fof(f998,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X2,X0))|~sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))|sdtasdt0(X2,X0)=sdtasdt0(X1,X0))),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f997,f58])).
% 2.09/0.61 fof(f1026,plain,(
% 2.09/0.61 spl0_97 <=> aNaturalNumber0(sz00)),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f1028,plain,(
% 2.09/0.61 ~aNaturalNumber0(sz00)|spl0_97),
% 2.09/0.61 inference(component_clause,[status(thm)],[f1026])).
% 2.09/0.61 fof(f1036,plain,(
% 2.09/0.61 $false|spl0_97),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1028,f52])).
% 2.09/0.61 fof(f1037,plain,(
% 2.09/0.61 spl0_97),
% 2.09/0.61 inference(contradiction_clause,[status(thm)],[f1036])).
% 2.09/0.61 fof(f1227,plain,(
% 2.09/0.61 ~sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))|~spl0_6),
% 2.09/0.61 inference(forward_demodulation,[status(thm)],[f227,f185])).
% 2.09/0.61 fof(f1239,plain,(
% 2.09/0.61 ~aNaturalNumber0(sdtasdt0(xn,xn))|~spl0_6),
% 2.09/0.61 inference(resolution,[status(thm)],[f1227,f103])).
% 2.09/0.61 fof(f1240,plain,(
% 2.09/0.61 ~spl0_1|~spl0_6),
% 2.09/0.61 inference(split_clause,[status(thm)],[f1239,f201,f226])).
% 2.09/0.61 fof(f1295,plain,(
% 2.09/0.61 $false|~spl0_56),
% 2.09/0.61 inference(backward_subsumption_resolution,[status(thm)],[f170,f616])).
% 2.09/0.61 fof(f1296,plain,(
% 2.09/0.61 ~spl0_56),
% 2.09/0.61 inference(contradiction_clause,[status(thm)],[f1295])).
% 2.09/0.61 fof(f1396,plain,(
% 2.09/0.61 spl0_127 <=> aNaturalNumber0(sz10)),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f1398,plain,(
% 2.09/0.61 ~aNaturalNumber0(sz10)|spl0_127),
% 2.09/0.61 inference(component_clause,[status(thm)],[f1396])).
% 2.09/0.61 fof(f1399,plain,(
% 2.09/0.61 spl0_128 <=> sz10=sz00),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f1400,plain,(
% 2.09/0.61 sz10=sz00|~spl0_128),
% 2.09/0.61 inference(component_clause,[status(thm)],[f1399])).
% 2.09/0.61 fof(f1411,plain,(
% 2.09/0.61 $false|spl0_127),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1398,f53])).
% 2.09/0.61 fof(f1412,plain,(
% 2.09/0.61 spl0_127),
% 2.09/0.61 inference(contradiction_clause,[status(thm)],[f1411])).
% 2.09/0.61 fof(f1413,plain,(
% 2.09/0.61 $false|~spl0_128),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f1400,f54])).
% 2.09/0.61 fof(f1414,plain,(
% 2.09/0.61 ~spl0_128),
% 2.09/0.61 inference(contradiction_clause,[status(thm)],[f1413])).
% 2.09/0.61 fof(f1974,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f987,f58])).
% 2.09/0.61 fof(f2000,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtasdt0(X0,X2)=sdtasdt0(X0,X1)|~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X0,X2))|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 2.09/0.61 inference(resolution,[status(thm)],[f1974,f110])).
% 2.09/0.61 fof(f2001,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X0,X2))|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2000,f83])).
% 2.09/0.61 fof(f2002,plain,(
% 2.09/0.61 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X0,X2))|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 2.09/0.61 inference(forward_subsumption_resolution,[status(thm)],[f2001,f58])).
% 2.09/0.61 fof(f2005,plain,(
% 2.09/0.61 spl0_191 <=> ~aNaturalNumber0(X0)|X0=xm|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(sdtasdt0(xm,X0))|sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xn))),
% 2.09/0.61 introduced(split_symbol_definition)).
% 2.09/0.61 fof(f2006,plain,(
% 2.09/0.61 ![X0]: (~aNaturalNumber0(X0)|X0=xm|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(sdtasdt0(xm,X0))|sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xn))|~spl0_191)),
% 2.09/0.61 inference(component_clause,[status(thm)],[f2005])).
% 2.19/0.62 fof(f2008,plain,(
% 2.19/0.62 ![X0]: (~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|xm=sz00|X0=xm|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(sdtasdt0(xm,xm))|~aNaturalNumber0(sdtasdt0(xm,X0))|sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xn))|~spl0_12)),
% 2.19/0.62 inference(resolution,[status(thm)],[f2002,f277])).
% 2.19/0.62 fof(f2009,plain,(
% 2.19/0.62 ~spl0_4|spl0_191|spl0_59|~spl0_0|~spl0_12),
% 2.19/0.62 inference(split_clause,[status(thm)],[f2008,f216,f2005,f632,f198,f276])).
% 2.19/0.62 fof(f2110,plain,(
% 2.19/0.62 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))|sdtasdt0(X2,X0)=sdtasdt0(X1,X0))),
% 2.19/0.62 inference(forward_subsumption_resolution,[status(thm)],[f998,f58])).
% 2.19/0.62 fof(f2121,plain,(
% 2.19/0.62 spl0_205 <=> sdtasdt0(xm,xn)=sdtasdt0(xn,xn)),
% 2.19/0.62 introduced(split_symbol_definition)).
% 2.19/0.62 fof(f2122,plain,(
% 2.19/0.62 sdtasdt0(xm,xn)=sdtasdt0(xn,xn)|~spl0_205),
% 2.19/0.62 inference(component_clause,[status(thm)],[f2121])).
% 2.19/0.62 fof(f2124,plain,(
% 2.19/0.62 spl0_206 <=> aNaturalNumber0(sdtasdt0(xm,xn))),
% 2.19/0.62 introduced(split_symbol_definition)).
% 2.19/0.62 fof(f2126,plain,(
% 2.19/0.62 ~aNaturalNumber0(sdtasdt0(xm,xn))|spl0_206),
% 2.19/0.62 inference(component_clause,[status(thm)],[f2124])).
% 2.19/0.62 fof(f2127,plain,(
% 2.19/0.62 ~aNaturalNumber0(xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|xn=sz00|xn=xm|~sdtlseqdt0(xn,xm)|sdtasdt0(xm,xn)=sdtasdt0(xn,xn)|~aNaturalNumber0(xn)|xn=xm|~sdtlseqdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xm,xn))|~spl0_191),
% 2.19/0.62 inference(resolution,[status(thm)],[f2110,f2006])).
% 2.19/0.62 fof(f2128,plain,(
% 2.19/0.62 ~spl0_3|~spl0_4|spl0_68|spl0_8|~spl0_9|spl0_205|~spl0_206|~spl0_191),
% 2.19/0.62 inference(split_clause,[status(thm)],[f2127,f209,f216,f708,f234,f241,f2121,f2124,f2005])).
% 2.19/0.62 fof(f2199,plain,(
% 2.19/0.62 ~sdtasdt0(xn,xn)=sdtasdt0(xm,xn)|~spl0_8|spl0_6),
% 2.19/0.62 inference(backward_demodulation,[status(thm)],[f235,f228])).
% 2.19/0.62 fof(f2200,plain,(
% 2.19/0.62 ~sdtasdt0(xn,xn)=sdtasdt0(xn,xn)|~spl0_8|spl0_6),
% 2.19/0.62 inference(forward_demodulation,[status(thm)],[f235,f2199])).
% 2.19/0.62 fof(f2201,plain,(
% 2.19/0.62 $false|~spl0_8|spl0_6),
% 2.19/0.62 inference(trivial_equality_resolution,[status(esa)],[f2200])).
% 2.19/0.62 fof(f2202,plain,(
% 2.19/0.62 ~spl0_8|spl0_6),
% 2.19/0.62 inference(contradiction_clause,[status(thm)],[f2201])).
% 2.19/0.62 fof(f2221,plain,(
% 2.19/0.62 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|spl0_206),
% 2.19/0.62 inference(resolution,[status(thm)],[f2126,f58])).
% 2.19/0.62 fof(f2222,plain,(
% 2.19/0.62 ~spl0_4|~spl0_3|spl0_206),
% 2.19/0.62 inference(split_clause,[status(thm)],[f2221,f216,f209,f2124])).
% 2.19/0.62 fof(f2223,plain,(
% 2.19/0.62 ~aNaturalNumber0(xn)|xn=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|xm=xn|~spl0_205),
% 2.19/0.62 inference(resolution,[status(thm)],[f2122,f84])).
% 2.19/0.62 fof(f2224,plain,(
% 2.19/0.62 ~spl0_3|spl0_68|~spl0_4|spl0_8|~spl0_205),
% 2.19/0.62 inference(split_clause,[status(thm)],[f2223,f209,f708,f216,f234,f2121])).
% 2.19/0.62 fof(f2312,plain,(
% 2.19/0.62 $false),
% 2.19/0.62 inference(sat_refutation,[status(thm)],[f208,f213,f215,f220,f222,f238,f245,f280,f652,f976,f1037,f1240,f1296,f1412,f1414,f2009,f2128,f2202,f2222,f2224])).
% 2.19/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 2.25/0.64 % Elapsed time: 0.298812 seconds
% 2.25/0.64 % CPU time: 2.256290 seconds
% 2.25/0.64 % Total memory used: 89.858 MB
% 2.25/0.64 % Net memory used: 87.941 MB
%------------------------------------------------------------------------------