TSTP Solution File: NUM467+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM467+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:29:16 EDT 2023
% Result : Theorem 4.52s 0.95s
% Output : CNFRefutation 4.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM467+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 : n018.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 : Tue May 30 10:06:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 4.52/0.95 % Refutation found
% 4.52/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.52/0.95 % SZS output start CNFRefutation for theBenchmark
% 4.52/0.95 fof(f4,axiom,(
% 4.52/0.95 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 4.52/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f13,axiom,(
% 4.52/0.95 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) )),
% 4.52/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f30,definition,(
% 4.52/0.95 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( doDivides0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) )) ) )),
% 4.52/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f33,hypothesis,(
% 4.52/0.95 ( aNaturalNumber0(xl)& aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 4.52/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f34,hypothesis,(
% 4.52/0.95 ( (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xl,W0) ))& doDivides0(xl,xm)& (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xl,W0) ))& doDivides0(xl,xn) ) ),
% 4.52/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f35,conjecture,(
% 4.52/0.95 ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,xn) = sdtasdt0(xl,W0) ))| doDivides0(xl,sdtpldt0(xm,xn)) ) ),
% 4.52/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.52/0.95 fof(f36,negated_conjecture,(
% 4.52/0.95 ~(( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,xn) = sdtasdt0(xl,W0) ))| doDivides0(xl,sdtpldt0(xm,xn)) ) )),
% 4.52/0.95 inference(negated_conjecture,[status(cth)],[f35])).
% 4.52/0.95 fof(f43,plain,(
% 4.52/0.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 4.52/0.95 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 4.52/0.95 fof(f44,plain,(
% 4.52/0.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f43])).
% 4.52/0.95 fof(f64,plain,(
% 4.52/0.95 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|(sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))))),
% 4.52/0.95 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 4.52/0.95 fof(f65,plain,(
% 4.52/0.95 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f64])).
% 4.52/0.95 fof(f118,plain,(
% 4.52/0.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(doDivides0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))))),
% 4.52/0.95 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 4.52/0.95 fof(f119,plain,(
% 4.52/0.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))&(doDivides0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2))))))),
% 4.52/0.95 inference(NNF_transformation,[status(esa)],[f118])).
% 4.52/0.95 fof(f120,plain,(
% 4.52/0.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(aNaturalNumber0(sk0_1(W1,W0))&W1=sdtasdt0(W0,sk0_1(W1,W0))))&(doDivides0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2))))))),
% 4.52/0.95 inference(skolemization,[status(esa)],[f119])).
% 4.52/0.95 fof(f123,plain,(
% 4.52/0.95 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|doDivides0(X0,X1)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f120])).
% 4.52/0.95 fof(f132,plain,(
% 4.52/0.95 aNaturalNumber0(xl)),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f33])).
% 4.52/0.95 fof(f133,plain,(
% 4.52/0.95 aNaturalNumber0(xm)),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f33])).
% 4.52/0.95 fof(f134,plain,(
% 4.52/0.95 aNaturalNumber0(xn)),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f33])).
% 4.52/0.95 fof(f135,plain,(
% 4.52/0.95 (((aNaturalNumber0(sk0_2)&xm=sdtasdt0(xl,sk0_2))&doDivides0(xl,xm))&(aNaturalNumber0(sk0_3)&xn=sdtasdt0(xl,sk0_3)))&doDivides0(xl,xn)),
% 4.52/0.95 inference(skolemization,[status(esa)],[f34])).
% 4.52/0.95 fof(f136,plain,(
% 4.52/0.95 aNaturalNumber0(sk0_2)),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f135])).
% 4.52/0.95 fof(f137,plain,(
% 4.52/0.95 xm=sdtasdt0(xl,sk0_2)),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f135])).
% 4.52/0.95 fof(f139,plain,(
% 4.52/0.95 aNaturalNumber0(sk0_3)),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f135])).
% 4.52/0.95 fof(f140,plain,(
% 4.52/0.95 xn=sdtasdt0(xl,sk0_3)),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f135])).
% 4.52/0.95 fof(f142,plain,(
% 4.52/0.95 ((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xm,xn)=sdtasdt0(xl,W0)))&~doDivides0(xl,sdtpldt0(xm,xn)))),
% 4.52/0.95 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 4.52/0.95 fof(f144,plain,(
% 4.52/0.95 ~doDivides0(xl,sdtpldt0(xm,xn))),
% 4.52/0.95 inference(cnf_transformation,[status(esa)],[f142])).
% 4.52/0.95 fof(f176,plain,(
% 4.52/0.95 spl0_0 <=> aNaturalNumber0(xl)),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f178,plain,(
% 4.52/0.95 ~aNaturalNumber0(xl)|spl0_0),
% 4.52/0.95 inference(component_clause,[status(thm)],[f176])).
% 4.52/0.95 fof(f179,plain,(
% 4.52/0.95 spl0_1 <=> aNaturalNumber0(xm)),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f181,plain,(
% 4.52/0.95 ~aNaturalNumber0(xm)|spl0_1),
% 4.52/0.95 inference(component_clause,[status(thm)],[f179])).
% 4.52/0.95 fof(f185,plain,(
% 4.52/0.95 spl0_3 <=> aNaturalNumber0(sk0_2)),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f187,plain,(
% 4.52/0.95 ~aNaturalNumber0(sk0_2)|spl0_3),
% 4.52/0.95 inference(component_clause,[status(thm)],[f185])).
% 4.52/0.95 fof(f205,plain,(
% 4.52/0.95 $false|spl0_1),
% 4.52/0.95 inference(forward_subsumption_resolution,[status(thm)],[f181,f133])).
% 4.52/0.95 fof(f206,plain,(
% 4.52/0.95 spl0_1),
% 4.52/0.95 inference(contradiction_clause,[status(thm)],[f205])).
% 4.52/0.95 fof(f207,plain,(
% 4.52/0.95 $false|spl0_0),
% 4.52/0.95 inference(forward_subsumption_resolution,[status(thm)],[f178,f132])).
% 4.52/0.95 fof(f208,plain,(
% 4.52/0.95 spl0_0),
% 4.52/0.95 inference(contradiction_clause,[status(thm)],[f207])).
% 4.52/0.95 fof(f209,plain,(
% 4.52/0.95 $false|spl0_3),
% 4.52/0.95 inference(forward_subsumption_resolution,[status(thm)],[f187,f136])).
% 4.52/0.95 fof(f210,plain,(
% 4.52/0.95 spl0_3),
% 4.52/0.95 inference(contradiction_clause,[status(thm)],[f209])).
% 4.52/0.95 fof(f211,plain,(
% 4.52/0.95 spl0_7 <=> aNaturalNumber0(xn)),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f213,plain,(
% 4.52/0.95 ~aNaturalNumber0(xn)|spl0_7),
% 4.52/0.95 inference(component_clause,[status(thm)],[f211])).
% 4.52/0.95 fof(f217,plain,(
% 4.52/0.95 spl0_9 <=> aNaturalNumber0(sk0_3)),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f219,plain,(
% 4.52/0.95 ~aNaturalNumber0(sk0_3)|spl0_9),
% 4.52/0.95 inference(component_clause,[status(thm)],[f217])).
% 4.52/0.95 fof(f237,plain,(
% 4.52/0.95 $false|spl0_9),
% 4.52/0.95 inference(forward_subsumption_resolution,[status(thm)],[f219,f139])).
% 4.52/0.95 fof(f238,plain,(
% 4.52/0.95 spl0_9),
% 4.52/0.95 inference(contradiction_clause,[status(thm)],[f237])).
% 4.52/0.95 fof(f239,plain,(
% 4.52/0.95 $false|spl0_7),
% 4.52/0.95 inference(forward_subsumption_resolution,[status(thm)],[f213,f134])).
% 4.52/0.95 fof(f240,plain,(
% 4.52/0.95 spl0_7),
% 4.52/0.95 inference(contradiction_clause,[status(thm)],[f239])).
% 4.52/0.95 fof(f369,plain,(
% 4.52/0.95 spl0_26 <=> ~aNaturalNumber0(X0)|sdtasdt0(xl,sdtpldt0(sk0_2,X0))=sdtpldt0(xm,sdtasdt0(xl,X0))),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f370,plain,(
% 4.52/0.95 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(xl,sdtpldt0(sk0_2,X0))=sdtpldt0(xm,sdtasdt0(xl,X0))|~spl0_26)),
% 4.52/0.95 inference(component_clause,[status(thm)],[f369])).
% 4.52/0.95 fof(f372,plain,(
% 4.52/0.95 ![X0]: (~aNaturalNumber0(xl)|~aNaturalNumber0(sk0_2)|~aNaturalNumber0(X0)|sdtasdt0(xl,sdtpldt0(sk0_2,X0))=sdtpldt0(xm,sdtasdt0(xl,X0)))),
% 4.52/0.95 inference(paramodulation,[status(thm)],[f137,f65])).
% 4.52/0.95 fof(f373,plain,(
% 4.52/0.95 ~spl0_0|~spl0_3|spl0_26),
% 4.52/0.95 inference(split_clause,[status(thm)],[f372,f176,f185,f369])).
% 4.52/0.95 fof(f389,plain,(
% 4.52/0.95 spl0_30 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,X0)))|doDivides0(xl,sdtpldt0(xm,sdtasdt0(xl,X0)))|~aNaturalNumber0(sdtpldt0(sk0_2,X0))),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f390,plain,(
% 4.52/0.95 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,X0)))|doDivides0(xl,sdtpldt0(xm,sdtasdt0(xl,X0)))|~aNaturalNumber0(sdtpldt0(sk0_2,X0))|~spl0_30)),
% 4.52/0.95 inference(component_clause,[status(thm)],[f389])).
% 4.52/0.95 fof(f392,plain,(
% 4.52/0.95 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,X0)))|doDivides0(xl,sdtpldt0(xm,sdtasdt0(xl,X0)))|~aNaturalNumber0(sdtpldt0(sk0_2,X0))|~spl0_26)),
% 4.52/0.95 inference(resolution,[status(thm)],[f370,f123])).
% 4.52/0.95 fof(f393,plain,(
% 4.52/0.95 spl0_30|~spl0_0|~spl0_26),
% 4.52/0.95 inference(split_clause,[status(thm)],[f392,f389,f176,f369])).
% 4.52/0.95 fof(f427,plain,(
% 4.52/0.95 spl0_39 <=> aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,sk0_3)))),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f429,plain,(
% 4.52/0.95 ~aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,sk0_3)))|spl0_39),
% 4.52/0.95 inference(component_clause,[status(thm)],[f427])).
% 4.52/0.95 fof(f430,plain,(
% 4.52/0.95 spl0_40 <=> doDivides0(xl,sdtpldt0(xm,xn))),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f431,plain,(
% 4.52/0.95 doDivides0(xl,sdtpldt0(xm,xn))|~spl0_40),
% 4.52/0.95 inference(component_clause,[status(thm)],[f430])).
% 4.52/0.95 fof(f433,plain,(
% 4.52/0.95 spl0_41 <=> aNaturalNumber0(sdtpldt0(sk0_2,sk0_3))),
% 4.52/0.95 introduced(split_symbol_definition)).
% 4.52/0.95 fof(f435,plain,(
% 4.52/0.95 ~aNaturalNumber0(sdtpldt0(sk0_2,sk0_3))|spl0_41),
% 4.52/0.95 inference(component_clause,[status(thm)],[f433])).
% 4.52/0.95 fof(f436,plain,(
% 4.52/0.95 ~aNaturalNumber0(sk0_3)|~aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,sk0_3)))|doDivides0(xl,sdtpldt0(xm,xn))|~aNaturalNumber0(sdtpldt0(sk0_2,sk0_3))|~spl0_30),
% 4.52/0.95 inference(paramodulation,[status(thm)],[f140,f390])).
% 4.52/0.95 fof(f437,plain,(
% 4.52/0.95 ~spl0_9|~spl0_39|spl0_40|~spl0_41|~spl0_30),
% 4.52/0.95 inference(split_clause,[status(thm)],[f436,f217,f427,f430,f433,f389])).
% 4.52/0.95 fof(f450,plain,(
% 4.52/0.95 ~aNaturalNumber0(sdtpldt0(xm,xn))|spl0_39),
% 4.52/0.95 inference(forward_demodulation,[status(thm)],[f140,f429])).
% 4.52/0.95 fof(f4090,plain,(
% 4.52/0.95 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|spl0_39),
% 4.52/0.95 inference(resolution,[status(thm)],[f44,f450])).
% 4.52/0.95 fof(f4091,plain,(
% 4.52/0.95 ~spl0_1|~spl0_7|spl0_39),
% 4.52/0.95 inference(split_clause,[status(thm)],[f4090,f179,f211,f427])).
% 4.52/0.95 fof(f5418,plain,(
% 4.52/0.95 ~aNaturalNumber0(sk0_2)|~aNaturalNumber0(sk0_3)|spl0_41),
% 4.52/0.95 inference(resolution,[status(thm)],[f435,f44])).
% 4.52/0.95 fof(f5419,plain,(
% 4.52/0.95 ~spl0_3|~spl0_9|spl0_41),
% 4.52/0.95 inference(split_clause,[status(thm)],[f5418,f185,f217,f433])).
% 4.52/0.95 fof(f5420,plain,(
% 4.52/0.95 $false|~spl0_40),
% 4.52/0.95 inference(forward_subsumption_resolution,[status(thm)],[f431,f144])).
% 4.52/0.95 fof(f5421,plain,(
% 4.52/0.95 ~spl0_40),
% 4.52/0.95 inference(contradiction_clause,[status(thm)],[f5420])).
% 4.52/0.95 fof(f5422,plain,(
% 4.52/0.95 $false),
% 4.52/0.95 inference(sat_refutation,[status(thm)],[f206,f208,f210,f238,f240,f373,f393,f437,f4091,f5419,f5421])).
% 4.52/0.95 % SZS output end CNFRefutation for theBenchmark.p
% 4.52/0.96 % Elapsed time: 0.611648 seconds
% 4.52/0.96 % CPU time: 4.730130 seconds
% 4.52/0.96 % Memory used: 98.787 MB
%------------------------------------------------------------------------------