TSTP Solution File: NUM460+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM460+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:29:14 EDT 2023
% Result : Theorem 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : NUM460+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n019.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 10:00:25 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 0.16/0.42 % Refutation found
% 0.16/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.42 fof(f4,axiom,(
% 0.16/0.42 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 0.16/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f7,axiom,(
% 0.16/0.42 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) )),
% 0.16/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f18,definition,(
% 0.16/0.42 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 0.16/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f22,hypothesis,(
% 0.16/0.42 ( aNaturalNumber0(xm)& aNaturalNumber0(xn)& aNaturalNumber0(xl) ) ),
% 0.16/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f23,conjecture,(
% 0.16/0.42 ( ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,W0) = xn ))& sdtlseqdt0(xm,xn)& (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xn,W0) = xl ))& sdtlseqdt0(xn,xl) )=> ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,W0) = xl ))| sdtlseqdt0(xm,xl) ) ) ),
% 0.16/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f24,negated_conjecture,(
% 0.16/0.42 ~(( ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,W0) = xn ))& sdtlseqdt0(xm,xn)& (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xn,W0) = xl ))& sdtlseqdt0(xn,xl) )=> ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,W0) = xl ))| sdtlseqdt0(xm,xl) ) ) )),
% 0.16/0.42 inference(negated_conjecture,[status(cth)],[f23])).
% 0.16/0.42 fof(f31,plain,(
% 0.16/0.42 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 0.16/0.42 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.16/0.42 fof(f32,plain,(
% 0.16/0.42 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.42 fof(f37,plain,(
% 0.16/0.42 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)))),
% 0.16/0.42 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.16/0.42 fof(f38,plain,(
% 0.16/0.42 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(X0,sdtpldt0(X1,X2)))),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f37])).
% 0.16/0.42 fof(f66,plain,(
% 0.16/0.42 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 0.16/0.42 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.16/0.42 fof(f67,plain,(
% 0.16/0.42 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 0.16/0.42 inference(NNF_transformation,[status(esa)],[f66])).
% 0.16/0.42 fof(f68,plain,(
% 0.16/0.42 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(aNaturalNumber0(sk0_0(W1,W0))&sdtpldt0(W0,sk0_0(W1,W0))=W1))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 0.16/0.42 inference(skolemization,[status(esa)],[f67])).
% 0.16/0.42 fof(f71,plain,(
% 0.16/0.42 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f68])).
% 0.16/0.42 fof(f82,plain,(
% 0.16/0.42 aNaturalNumber0(xm)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.42 fof(f84,plain,(
% 0.16/0.42 aNaturalNumber0(xl)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.42 fof(f85,plain,(
% 0.16/0.42 (((((?[W0]: (aNaturalNumber0(W0)&sdtpldt0(xm,W0)=xn))&sdtlseqdt0(xm,xn))&(?[W0]: (aNaturalNumber0(W0)&sdtpldt0(xn,W0)=xl)))&sdtlseqdt0(xn,xl))&((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xm,W0)=xl))&~sdtlseqdt0(xm,xl)))),
% 0.16/0.42 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.16/0.42 fof(f86,plain,(
% 0.16/0.42 ((((aNaturalNumber0(sk0_1)&sdtpldt0(xm,sk0_1)=xn)&sdtlseqdt0(xm,xn))&(aNaturalNumber0(sk0_2)&sdtpldt0(xn,sk0_2)=xl))&sdtlseqdt0(xn,xl))&((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xm,W0)=xl))&~sdtlseqdt0(xm,xl))),
% 0.16/0.42 inference(skolemization,[status(esa)],[f85])).
% 0.16/0.42 fof(f87,plain,(
% 0.16/0.42 aNaturalNumber0(sk0_1)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f86])).
% 0.16/0.42 fof(f88,plain,(
% 0.16/0.42 sdtpldt0(xm,sk0_1)=xn),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f86])).
% 0.16/0.42 fof(f90,plain,(
% 0.16/0.42 aNaturalNumber0(sk0_2)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f86])).
% 0.16/0.42 fof(f91,plain,(
% 0.16/0.42 sdtpldt0(xn,sk0_2)=xl),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f86])).
% 0.16/0.42 fof(f94,plain,(
% 0.16/0.42 ~sdtlseqdt0(xm,xl)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f86])).
% 0.16/0.42 fof(f95,plain,(
% 0.16/0.42 spl0_0 <=> aNaturalNumber0(xm)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f97,plain,(
% 0.16/0.42 ~aNaturalNumber0(xm)|spl0_0),
% 0.16/0.42 inference(component_clause,[status(thm)],[f95])).
% 0.16/0.42 fof(f98,plain,(
% 0.16/0.42 spl0_1 <=> aNaturalNumber0(sk0_1)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f100,plain,(
% 0.16/0.42 ~aNaturalNumber0(sk0_1)|spl0_1),
% 0.16/0.42 inference(component_clause,[status(thm)],[f98])).
% 0.16/0.42 fof(f106,plain,(
% 0.16/0.42 $false|spl0_1),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f100,f87])).
% 0.16/0.42 fof(f107,plain,(
% 0.16/0.42 spl0_1),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f106])).
% 0.16/0.42 fof(f108,plain,(
% 0.16/0.42 $false|spl0_0),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f97,f82])).
% 0.16/0.42 fof(f109,plain,(
% 0.16/0.42 spl0_0),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f108])).
% 0.16/0.42 fof(f129,plain,(
% 0.16/0.42 spl0_8 <=> aNaturalNumber0(sk0_2)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f131,plain,(
% 0.16/0.42 ~aNaturalNumber0(sk0_2)|spl0_8),
% 0.16/0.42 inference(component_clause,[status(thm)],[f129])).
% 0.16/0.42 fof(f134,plain,(
% 0.16/0.42 $false|spl0_8),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f131,f90])).
% 0.16/0.42 fof(f135,plain,(
% 0.16/0.42 spl0_8),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f134])).
% 0.16/0.42 fof(f169,plain,(
% 0.16/0.42 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2))|~aNaturalNumber0(sdtpldt0(X1,X2)))),
% 0.16/0.42 inference(resolution,[status(thm)],[f38,f71])).
% 0.16/0.42 fof(f170,plain,(
% 0.16/0.42 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2))|~aNaturalNumber0(sdtpldt0(X1,X2)))),
% 0.16/0.42 inference(duplicate_literals_removal,[status(esa)],[f169])).
% 0.16/0.42 fof(f171,plain,(
% 0.16/0.42 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2)))),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f170,f32])).
% 0.16/0.42 fof(f224,plain,(
% 0.16/0.42 spl0_21 <=> sdtlseqdt0(xm,xl)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f225,plain,(
% 0.16/0.42 sdtlseqdt0(xm,xl)|~spl0_21),
% 0.16/0.42 inference(component_clause,[status(thm)],[f224])).
% 0.16/0.42 fof(f247,plain,(
% 0.16/0.42 spl0_24 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sk0_1),X0))|sdtlseqdt0(xm,sdtpldt0(xn,X0))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f248,plain,(
% 0.16/0.42 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sk0_1),X0))|sdtlseqdt0(xm,sdtpldt0(xn,X0))|~spl0_24)),
% 0.16/0.42 inference(component_clause,[status(thm)],[f247])).
% 0.16/0.42 fof(f250,plain,(
% 0.16/0.42 ![X0]: (~aNaturalNumber0(xm)|~aNaturalNumber0(sk0_1)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xm,sk0_1),X0))|sdtlseqdt0(xm,sdtpldt0(xn,X0)))),
% 0.16/0.42 inference(paramodulation,[status(thm)],[f88,f171])).
% 0.16/0.42 fof(f251,plain,(
% 0.16/0.42 ~spl0_0|~spl0_1|spl0_24),
% 0.16/0.42 inference(split_clause,[status(thm)],[f250,f95,f98,f247])).
% 0.16/0.42 fof(f253,plain,(
% 0.16/0.42 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xn,X0))|sdtlseqdt0(xm,sdtpldt0(xn,X0))|~spl0_24)),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f88,f248])).
% 0.16/0.42 fof(f358,plain,(
% 0.16/0.42 spl0_41 <=> aNaturalNumber0(sdtpldt0(xn,sk0_2))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f360,plain,(
% 0.16/0.42 ~aNaturalNumber0(sdtpldt0(xn,sk0_2))|spl0_41),
% 0.16/0.42 inference(component_clause,[status(thm)],[f358])).
% 0.16/0.42 fof(f361,plain,(
% 0.16/0.42 ~aNaturalNumber0(sk0_2)|~aNaturalNumber0(sdtpldt0(xn,sk0_2))|sdtlseqdt0(xm,xl)|~spl0_24),
% 0.16/0.42 inference(paramodulation,[status(thm)],[f91,f253])).
% 0.16/0.42 fof(f362,plain,(
% 0.16/0.42 ~spl0_8|~spl0_41|spl0_21|~spl0_24),
% 0.16/0.42 inference(split_clause,[status(thm)],[f361,f129,f358,f224,f247])).
% 0.16/0.42 fof(f363,plain,(
% 0.16/0.42 ~aNaturalNumber0(xl)|spl0_41),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f91,f360])).
% 0.16/0.42 fof(f407,plain,(
% 0.16/0.42 $false|spl0_41),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f84,f363])).
% 0.16/0.42 fof(f408,plain,(
% 0.16/0.42 spl0_41),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f407])).
% 0.16/0.42 fof(f409,plain,(
% 0.16/0.42 $false|~spl0_21),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f225,f94])).
% 0.16/0.42 fof(f410,plain,(
% 0.16/0.42 ~spl0_21),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f409])).
% 0.16/0.42 fof(f411,plain,(
% 0.16/0.42 $false),
% 0.16/0.42 inference(sat_refutation,[status(thm)],[f107,f109,f135,f251,f362,f408,f410])).
% 0.16/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.44 % Elapsed time: 0.097804 seconds
% 0.16/0.44 % CPU time: 0.259452 seconds
% 0.16/0.44 % Memory used: 46.328 MB
%------------------------------------------------------------------------------