TSTP Solution File: NUM513+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM513+3 : 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 : Wed May 31 12:29:28 EDT 2023
% Result : Theorem 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : NUM513+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n008.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 : Tue May 30 09:59:08 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.34 % Refutation found
% 0.14/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.34 fof(f5,axiom,(
% 0.14/0.34 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f9,axiom,(
% 0.14/0.34 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f31,definition,(
% 0.14/0.34 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f36,axiom,(
% 0.14/0.34 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( aNaturalNumber0(W2)=> sdtasdt0(W2,sdtsldt0(W1,W0)) = sdtsldt0(sdtasdt0(W2,W1),W0) ) )) ) )),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f39,hypothesis,(
% 0.14/0.34 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f45,hypothesis,(
% 0.14/0.34 ( aNaturalNumber0(xk)& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f48,hypothesis,(
% 0.14/0.34 ( aNaturalNumber0(xr)& (? [W0] :( aNaturalNumber0(W0)& xk = sdtasdt0(xr,W0) ))& doDivides0(xr,xk)& xr != sz00& xr != sz10& (! [W0] :( ( aNaturalNumber0(W0)& ( (? [W1] :( aNaturalNumber0(W1)& xr = sdtasdt0(W0,W1) ))| doDivides0(W0,xr) ) )=> ( W0 = sz10| W0 = xr ) ))& isPrime0(xr) ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f49,hypothesis,(
% 0.14/0.34 ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xr,W0) = xk ))& (? [W0] :( aNaturalNumber0(W0)& sdtasdt0(xn,xm) = sdtasdt0(xr,W0) ))& doDivides0(xr,sdtasdt0(xn,xm)) ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f54,hypothesis,(
% 0.14/0.34 ( aNaturalNumber0(sdtsldt0(xn,xr))& xn = sdtasdt0(xr,sdtsldt0(xn,xr))& sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm)& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))& sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f55,conjecture,(
% 0.14/0.34 ( ( aNaturalNumber0(sdtsldt0(xk,xr))& xk = sdtasdt0(xr,sdtsldt0(xk,xr)) )=> ( ( aNaturalNumber0(sdtsldt0(xn,xr))& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )=> sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ) ),
% 0.14/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f56,negated_conjecture,(
% 0.14/0.34 ~(( ( aNaturalNumber0(sdtsldt0(xk,xr))& xk = sdtasdt0(xr,sdtsldt0(xk,xr)) )=> ( ( aNaturalNumber0(sdtsldt0(xn,xr))& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )=> sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ) )),
% 0.14/0.34 inference(negated_conjecture,[status(cth)],[f55])).
% 0.14/0.34 fof(f65,plain,(
% 0.14/0.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 0.14/0.34 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.34 fof(f66,plain,(
% 0.14/0.34 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f65])).
% 0.14/0.34 fof(f74,plain,(
% 0.14/0.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 0.14/0.34 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.14/0.34 fof(f75,plain,(
% 0.14/0.34 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.34 fof(f144,plain,(
% 0.14/0.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 0.14/0.34 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.14/0.34 fof(f145,plain,(
% 0.14/0.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: ((~W2=sdtsldt0(W1,W0)|(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))&(W2=sdtsldt0(W1,W0)|(~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2)))))))),
% 0.14/0.34 inference(NNF_transformation,[status(esa)],[f144])).
% 0.14/0.34 fof(f146,plain,(
% 0.14/0.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|((![W2]: (~W2=sdtsldt0(W1,W0)|(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))&(![W2]: (W2=sdtsldt0(W1,W0)|(~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2)))))))),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f145])).
% 0.14/0.34 fof(f149,plain,(
% 0.14/0.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|X2=sdtsldt0(X1,X0)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f146])).
% 0.14/0.34 fof(f158,plain,(
% 0.14/0.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (~aNaturalNumber0(W2)|sdtasdt0(W2,sdtsldt0(W1,W0))=sdtsldt0(sdtasdt0(W2,W1),W0)))))),
% 0.14/0.34 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.14/0.34 fof(f159,plain,(
% 0.14/0.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~aNaturalNumber0(X2)|sdtasdt0(X2,sdtsldt0(X1,X0))=sdtsldt0(sdtasdt0(X2,X1),X0))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f158])).
% 0.14/0.34 fof(f176,plain,(
% 0.14/0.34 aNaturalNumber0(xm)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.34 fof(f177,plain,(
% 0.14/0.34 aNaturalNumber0(xp)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.34 fof(f215,plain,(
% 0.14/0.34 sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f45])).
% 0.14/0.34 fof(f222,plain,(
% 0.14/0.34 (((((aNaturalNumber0(xr)&(?[W0]: (aNaturalNumber0(W0)&xk=sdtasdt0(xr,W0))))&doDivides0(xr,xk))&~xr=sz00)&~xr=sz10)&(![W0]: ((~aNaturalNumber0(W0)|((![W1]: (~aNaturalNumber0(W1)|~xr=sdtasdt0(W0,W1)))&~doDivides0(W0,xr)))|(W0=sz10|W0=xr))))&isPrime0(xr)),
% 0.14/0.34 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.14/0.34 fof(f223,plain,(
% 0.14/0.34 (((((aNaturalNumber0(xr)&(aNaturalNumber0(sk0_8)&xk=sdtasdt0(xr,sk0_8)))&doDivides0(xr,xk))&~xr=sz00)&~xr=sz10)&(![W0]: ((~aNaturalNumber0(W0)|((![W1]: (~aNaturalNumber0(W1)|~xr=sdtasdt0(W0,W1)))&~doDivides0(W0,xr)))|(W0=sz10|W0=xr))))&isPrime0(xr)),
% 0.14/0.34 inference(skolemization,[status(esa)],[f222])).
% 0.14/0.34 fof(f224,plain,(
% 0.14/0.34 aNaturalNumber0(xr)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f223])).
% 0.14/0.34 fof(f227,plain,(
% 0.14/0.34 doDivides0(xr,xk)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f223])).
% 0.14/0.34 fof(f228,plain,(
% 0.14/0.34 ~xr=sz00),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f223])).
% 0.14/0.34 fof(f233,plain,(
% 0.14/0.34 ((aNaturalNumber0(sk0_9)&sdtpldt0(xr,sk0_9)=xk)&(aNaturalNumber0(sk0_10)&sdtasdt0(xn,xm)=sdtasdt0(xr,sk0_10)))&doDivides0(xr,sdtasdt0(xn,xm))),
% 0.14/0.34 inference(skolemization,[status(esa)],[f49])).
% 0.14/0.34 fof(f238,plain,(
% 0.14/0.34 doDivides0(xr,sdtasdt0(xn,xm))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f233])).
% 0.14/0.34 fof(f266,plain,(
% 0.14/0.34 sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)=sdtasdt0(xn,xm)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f54])).
% 0.14/0.34 fof(f270,plain,(
% 0.14/0.34 ((aNaturalNumber0(sdtsldt0(xk,xr))&xk=sdtasdt0(xr,sdtsldt0(xk,xr)))&((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&~sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)))),
% 0.14/0.34 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 0.14/0.34 fof(f271,plain,(
% 0.14/0.34 aNaturalNumber0(sdtsldt0(xk,xr))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f270])).
% 0.14/0.34 fof(f272,plain,(
% 0.14/0.34 xk=sdtasdt0(xr,sdtsldt0(xk,xr))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f270])).
% 0.14/0.34 fof(f273,plain,(
% 0.14/0.34 aNaturalNumber0(sdtsldt0(xn,xr))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f270])).
% 0.14/0.34 fof(f275,plain,(
% 0.14/0.34 ~sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f270])).
% 0.14/0.34 fof(f331,plain,(
% 0.14/0.34 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|X0=sz00|~doDivides0(X0,sdtasdt0(X0,X1))|X1=sdtsldt0(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(X1))),
% 0.14/0.34 inference(destructive_equality_resolution,[status(esa)],[f149])).
% 0.14/0.34 fof(f334,plain,(
% 0.14/0.34 spl0_7 <=> aNaturalNumber0(xr)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f336,plain,(
% 0.14/0.34 ~aNaturalNumber0(xr)|spl0_7),
% 0.14/0.34 inference(component_clause,[status(thm)],[f334])).
% 0.14/0.34 fof(f337,plain,(
% 0.14/0.34 spl0_8 <=> aNaturalNumber0(sdtsldt0(xn,xr))),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f339,plain,(
% 0.14/0.34 ~aNaturalNumber0(sdtsldt0(xn,xr))|spl0_8),
% 0.14/0.34 inference(component_clause,[status(thm)],[f337])).
% 0.14/0.34 fof(f345,plain,(
% 0.14/0.34 spl0_10 <=> aNaturalNumber0(sdtsldt0(xk,xr))),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f347,plain,(
% 0.14/0.34 ~aNaturalNumber0(sdtsldt0(xk,xr))|spl0_10),
% 0.14/0.34 inference(component_clause,[status(thm)],[f345])).
% 0.14/0.34 fof(f348,plain,(
% 0.14/0.34 spl0_11 <=> aNaturalNumber0(xk)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f351,plain,(
% 0.14/0.34 ~aNaturalNumber0(xr)|~aNaturalNumber0(sdtsldt0(xk,xr))|aNaturalNumber0(xk)),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f272,f66])).
% 0.14/0.34 fof(f352,plain,(
% 0.14/0.34 ~spl0_7|~spl0_10|spl0_11),
% 0.14/0.34 inference(split_clause,[status(thm)],[f351,f334,f345,f348])).
% 0.14/0.34 fof(f353,plain,(
% 0.14/0.34 $false|spl0_10),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f347,f271])).
% 0.14/0.34 fof(f354,plain,(
% 0.14/0.34 spl0_10),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f353])).
% 0.14/0.34 fof(f365,plain,(
% 0.14/0.34 $false|spl0_7),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f224,f336])).
% 0.14/0.34 fof(f366,plain,(
% 0.14/0.34 spl0_7),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f365])).
% 0.14/0.34 fof(f367,plain,(
% 0.14/0.34 $false|spl0_8),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f339,f273])).
% 0.14/0.34 fof(f368,plain,(
% 0.14/0.34 spl0_8),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f367])).
% 0.14/0.34 fof(f369,plain,(
% 0.14/0.34 spl0_14 <=> aNaturalNumber0(xp)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f371,plain,(
% 0.14/0.34 ~aNaturalNumber0(xp)|spl0_14),
% 0.14/0.34 inference(component_clause,[status(thm)],[f369])).
% 0.14/0.34 fof(f382,plain,(
% 0.14/0.34 $false|spl0_14),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f371,f177])).
% 0.14/0.34 fof(f383,plain,(
% 0.14/0.34 spl0_14),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f382])).
% 0.14/0.34 fof(f393,plain,(
% 0.14/0.34 spl0_19 <=> xr=sz00),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f394,plain,(
% 0.14/0.34 xr=sz00|~spl0_19),
% 0.14/0.34 inference(component_clause,[status(thm)],[f393])).
% 0.14/0.34 fof(f401,plain,(
% 0.14/0.34 spl0_21 <=> doDivides0(xr,xk)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f403,plain,(
% 0.14/0.34 ~doDivides0(xr,xk)|spl0_21),
% 0.14/0.34 inference(component_clause,[status(thm)],[f401])).
% 0.14/0.34 fof(f414,plain,(
% 0.14/0.34 $false|spl0_21),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f403,f227])).
% 0.14/0.34 fof(f415,plain,(
% 0.14/0.34 spl0_21),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f414])).
% 0.14/0.34 fof(f416,plain,(
% 0.14/0.34 $false|~spl0_19),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f394,f228])).
% 0.14/0.34 fof(f417,plain,(
% 0.14/0.34 ~spl0_19),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f416])).
% 0.14/0.34 fof(f418,plain,(
% 0.14/0.34 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~doDivides0(X0,sdtasdt0(X0,X1))|X1=sdtsldt0(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(X1))),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f331,f66])).
% 0.14/0.34 fof(f449,plain,(
% 0.14/0.34 spl0_30 <=> aNaturalNumber0(xm)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f451,plain,(
% 0.14/0.34 ~aNaturalNumber0(xm)|spl0_30),
% 0.14/0.34 inference(component_clause,[status(thm)],[f449])).
% 0.14/0.34 fof(f457,plain,(
% 0.14/0.34 spl0_32 <=> aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f459,plain,(
% 0.14/0.34 ~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))|spl0_32),
% 0.14/0.34 inference(component_clause,[status(thm)],[f457])).
% 0.14/0.34 fof(f476,plain,(
% 0.14/0.34 spl0_37 <=> sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f477,plain,(
% 0.14/0.34 sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)|~spl0_37),
% 0.14/0.34 inference(component_clause,[status(thm)],[f476])).
% 0.14/0.34 fof(f479,plain,(
% 0.14/0.34 ~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))|sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm))=sdtasdt0(xn,xm)),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f266,f75])).
% 0.14/0.34 fof(f480,plain,(
% 0.14/0.34 ~spl0_7|~spl0_32|spl0_37),
% 0.14/0.34 inference(split_clause,[status(thm)],[f479,f334,f457,f476])).
% 0.14/0.34 fof(f485,plain,(
% 0.14/0.34 $false|spl0_30),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f451,f176])).
% 0.14/0.34 fof(f486,plain,(
% 0.14/0.34 spl0_30),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f485])).
% 0.14/0.34 fof(f488,plain,(
% 0.14/0.34 ~aNaturalNumber0(sdtsldt0(xn,xr))|~aNaturalNumber0(xm)|spl0_32),
% 0.14/0.34 inference(resolution,[status(thm)],[f459,f66])).
% 0.14/0.34 fof(f489,plain,(
% 0.14/0.34 ~spl0_8|~spl0_30|spl0_32),
% 0.14/0.34 inference(split_clause,[status(thm)],[f488,f337,f449,f457])).
% 0.14/0.34 fof(f535,plain,(
% 0.14/0.34 spl0_47 <=> ~aNaturalNumber0(X0)|X0=sz00|~doDivides0(X0,xk)|sdtasdt0(xp,sdtsldt0(xk,X0))=sdtsldt0(sdtasdt0(xn,xm),X0)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f536,plain,(
% 0.14/0.34 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~doDivides0(X0,xk)|sdtasdt0(xp,sdtsldt0(xk,X0))=sdtsldt0(sdtasdt0(xn,xm),X0)|~spl0_47)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f535])).
% 0.14/0.34 fof(f538,plain,(
% 0.14/0.34 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xk)|X0=sz00|~doDivides0(X0,xk)|~aNaturalNumber0(xp)|sdtasdt0(xp,sdtsldt0(xk,X0))=sdtsldt0(sdtasdt0(xn,xm),X0))),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f215,f159])).
% 0.14/0.34 fof(f539,plain,(
% 0.14/0.34 spl0_47|~spl0_11|~spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f538,f535,f348,f369])).
% 0.14/0.34 fof(f645,plain,(
% 0.14/0.34 spl0_66 <=> doDivides0(xr,sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm)))),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f647,plain,(
% 0.14/0.34 ~doDivides0(xr,sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm)))|spl0_66),
% 0.14/0.34 inference(component_clause,[status(thm)],[f645])).
% 0.14/0.34 fof(f648,plain,(
% 0.14/0.34 spl0_67 <=> sdtasdt0(sdtsldt0(xn,xr),xm)=sdtsldt0(sdtasdt0(xn,xm),xr)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f649,plain,(
% 0.14/0.34 sdtasdt0(sdtsldt0(xn,xr),xm)=sdtsldt0(sdtasdt0(xn,xm),xr)|~spl0_67),
% 0.14/0.34 inference(component_clause,[status(thm)],[f648])).
% 0.14/0.34 fof(f651,plain,(
% 0.14/0.34 ~aNaturalNumber0(xr)|xr=sz00|~doDivides0(xr,sdtasdt0(xr,sdtasdt0(sdtsldt0(xn,xr),xm)))|sdtasdt0(sdtsldt0(xn,xr),xm)=sdtsldt0(sdtasdt0(xn,xm),xr)|~aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),xm))|~spl0_37),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f477,f418])).
% 0.14/0.34 fof(f652,plain,(
% 0.14/0.34 ~spl0_7|spl0_19|~spl0_66|spl0_67|~spl0_32|~spl0_37),
% 0.14/0.34 inference(split_clause,[status(thm)],[f651,f334,f393,f645,f648,f457,f476])).
% 0.14/0.34 fof(f660,plain,(
% 0.14/0.34 ~doDivides0(xr,sdtasdt0(xn,xm))|~spl0_37|spl0_66),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f477,f647])).
% 0.14/0.34 fof(f661,plain,(
% 0.14/0.34 $false|~spl0_37|spl0_66),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f660,f238])).
% 0.14/0.34 fof(f662,plain,(
% 0.14/0.34 ~spl0_37|spl0_66),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f661])).
% 0.14/0.34 fof(f899,plain,(
% 0.14/0.34 spl0_105 <=> sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f900,plain,(
% 0.14/0.34 sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)|~spl0_105),
% 0.14/0.34 inference(component_clause,[status(thm)],[f899])).
% 0.14/0.34 fof(f902,plain,(
% 0.14/0.34 ~aNaturalNumber0(xr)|xr=sz00|~doDivides0(xr,xk)|sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)|~spl0_47|~spl0_67),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f649,f536])).
% 0.14/0.34 fof(f903,plain,(
% 0.14/0.34 ~spl0_7|spl0_19|~spl0_21|spl0_105|~spl0_47|~spl0_67),
% 0.14/0.34 inference(split_clause,[status(thm)],[f902,f334,f393,f401,f899,f535,f648])).
% 0.14/0.34 fof(f912,plain,(
% 0.14/0.34 $false|~spl0_105),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f900,f275])).
% 0.14/0.34 fof(f913,plain,(
% 0.14/0.34 ~spl0_105),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f912])).
% 0.14/0.34 fof(f914,plain,(
% 0.14/0.34 $false),
% 0.14/0.34 inference(sat_refutation,[status(thm)],[f352,f354,f366,f368,f383,f415,f417,f480,f486,f489,f539,f652,f662,f903,f913])).
% 0.14/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37 % Elapsed time: 0.065134 seconds
% 0.14/0.37 % CPU time: 0.091607 seconds
% 0.14/0.37 % Memory used: 14.851 MB
%------------------------------------------------------------------------------