TSTP Solution File: NUM460+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n024.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 20:34:46 EDT 2024
% Result : Theorem 0.20s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM460+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 20:53:06 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.6.0
% 0.20/0.40 % Refutation found
% 0.20/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.40 fof(f4,axiom,(
% 0.20/0.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 0.20/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f7,axiom,(
% 0.20/0.40 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) )),
% 0.20/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f18,definition,(
% 0.20/0.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 0.20/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f22,hypothesis,(
% 0.20/0.40 ( aNaturalNumber0(xm)& aNaturalNumber0(xn)& aNaturalNumber0(xl) ) ),
% 0.20/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f23,conjecture,(
% 0.20/0.40 ( ( (? [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) ) ) ),
% 0.20/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f24,negated_conjecture,(
% 0.20/0.40 ~(( ( (? [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) ) ) )),
% 0.20/0.40 inference(negated_conjecture,[status(cth)],[f23])).
% 0.20/0.40 fof(f31,plain,(
% 0.20/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 0.20/0.40 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.20/0.40 fof(f32,plain,(
% 0.20/0.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.40 fof(f37,plain,(
% 0.20/0.40 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)))),
% 0.20/0.40 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.40 fof(f38,plain,(
% 0.20/0.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(X0,sdtpldt0(X1,X2)))),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f37])).
% 0.20/0.40 fof(f66,plain,(
% 0.20/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 0.20/0.40 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.20/0.40 fof(f67,plain,(
% 0.20/0.40 ![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)))))),
% 0.20/0.40 inference(NNF_transformation,[status(esa)],[f66])).
% 0.20/0.40 fof(f68,plain,(
% 0.20/0.40 ![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)))))),
% 0.20/0.40 inference(skolemization,[status(esa)],[f67])).
% 0.20/0.40 fof(f71,plain,(
% 0.20/0.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.40 fof(f82,plain,(
% 0.20/0.40 aNaturalNumber0(xm)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.40 fof(f84,plain,(
% 0.20/0.40 aNaturalNumber0(xl)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.40 fof(f85,plain,(
% 0.20/0.40 (((((?[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)))),
% 0.20/0.40 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.20/0.40 fof(f86,plain,(
% 0.20/0.40 ((((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))),
% 0.20/0.40 inference(skolemization,[status(esa)],[f85])).
% 0.20/0.40 fof(f87,plain,(
% 0.20/0.40 aNaturalNumber0(sk0_1)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.40 fof(f88,plain,(
% 0.20/0.40 sdtpldt0(xm,sk0_1)=xn),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.40 fof(f90,plain,(
% 0.20/0.40 aNaturalNumber0(sk0_2)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.40 fof(f91,plain,(
% 0.20/0.40 sdtpldt0(xn,sk0_2)=xl),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.40 fof(f94,plain,(
% 0.20/0.40 ~sdtlseqdt0(xm,xl)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.40 fof(f95,plain,(
% 0.20/0.40 spl0_0 <=> aNaturalNumber0(sk0_1)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f97,plain,(
% 0.20/0.40 ~aNaturalNumber0(sk0_1)|spl0_0),
% 0.20/0.40 inference(component_clause,[status(thm)],[f95])).
% 0.20/0.40 fof(f103,plain,(
% 0.20/0.40 $false|spl0_0),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f97,f87])).
% 0.20/0.40 fof(f104,plain,(
% 0.20/0.40 spl0_0),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f103])).
% 0.20/0.40 fof(f116,plain,(
% 0.20/0.40 spl0_5 <=> aNaturalNumber0(xm)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f118,plain,(
% 0.20/0.40 ~aNaturalNumber0(xm)|spl0_5),
% 0.20/0.40 inference(component_clause,[status(thm)],[f116])).
% 0.20/0.40 fof(f127,plain,(
% 0.20/0.40 $false|spl0_5),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f118,f82])).
% 0.20/0.40 fof(f128,plain,(
% 0.20/0.40 spl0_5),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f127])).
% 0.20/0.40 fof(f129,plain,(
% 0.20/0.40 spl0_8 <=> aNaturalNumber0(sk0_2)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f131,plain,(
% 0.20/0.40 ~aNaturalNumber0(sk0_2)|spl0_8),
% 0.20/0.40 inference(component_clause,[status(thm)],[f129])).
% 0.20/0.40 fof(f136,plain,(
% 0.20/0.40 $false|spl0_8),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f131,f90])).
% 0.20/0.40 fof(f137,plain,(
% 0.20/0.40 spl0_8),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f136])).
% 0.20/0.40 fof(f353,plain,(
% 0.20/0.40 spl0_30 <=> ~aNaturalNumber0(X0)|sdtpldt0(xn,X0)=sdtpldt0(xm,sdtpldt0(sk0_1,X0))),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f354,plain,(
% 0.20/0.40 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(xn,X0)=sdtpldt0(xm,sdtpldt0(sk0_1,X0))|~spl0_30)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f353])).
% 0.20/0.40 fof(f356,plain,(
% 0.20/0.40 ![X0]: (~aNaturalNumber0(xm)|~aNaturalNumber0(sk0_1)|~aNaturalNumber0(X0)|sdtpldt0(xn,X0)=sdtpldt0(xm,sdtpldt0(sk0_1,X0)))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f88,f38])).
% 0.20/0.40 fof(f357,plain,(
% 0.20/0.40 ~spl0_5|~spl0_0|spl0_30),
% 0.20/0.40 inference(split_clause,[status(thm)],[f356,f116,f95,f353])).
% 0.20/0.40 fof(f379,plain,(
% 0.20/0.40 spl0_35 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xn,X0))|sdtlseqdt0(xm,sdtpldt0(xn,X0))|~aNaturalNumber0(sdtpldt0(sk0_1,X0))),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f380,plain,(
% 0.20/0.40 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xn,X0))|sdtlseqdt0(xm,sdtpldt0(xn,X0))|~aNaturalNumber0(sdtpldt0(sk0_1,X0))|~spl0_35)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f379])).
% 0.20/0.40 fof(f382,plain,(
% 0.20/0.40 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(xn,X0))|sdtlseqdt0(xm,sdtpldt0(xn,X0))|~aNaturalNumber0(sdtpldt0(sk0_1,X0))|~spl0_30)),
% 0.20/0.40 inference(resolution,[status(thm)],[f354,f71])).
% 0.20/0.40 fof(f383,plain,(
% 0.20/0.40 spl0_35|~spl0_5|~spl0_30),
% 0.20/0.40 inference(split_clause,[status(thm)],[f382,f379,f116,f353])).
% 0.20/0.40 fof(f570,plain,(
% 0.20/0.40 spl0_48 <=> aNaturalNumber0(sdtpldt0(xn,sk0_2))),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f572,plain,(
% 0.20/0.40 ~aNaturalNumber0(sdtpldt0(xn,sk0_2))|spl0_48),
% 0.20/0.40 inference(component_clause,[status(thm)],[f570])).
% 0.20/0.40 fof(f573,plain,(
% 0.20/0.40 spl0_49 <=> sdtlseqdt0(xm,xl)),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f574,plain,(
% 0.20/0.40 sdtlseqdt0(xm,xl)|~spl0_49),
% 0.20/0.40 inference(component_clause,[status(thm)],[f573])).
% 0.20/0.40 fof(f576,plain,(
% 0.20/0.40 spl0_50 <=> aNaturalNumber0(sdtpldt0(sk0_1,sk0_2))),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f578,plain,(
% 0.20/0.40 ~aNaturalNumber0(sdtpldt0(sk0_1,sk0_2))|spl0_50),
% 0.20/0.40 inference(component_clause,[status(thm)],[f576])).
% 0.20/0.40 fof(f579,plain,(
% 0.20/0.40 ~aNaturalNumber0(sk0_2)|~aNaturalNumber0(sdtpldt0(xn,sk0_2))|sdtlseqdt0(xm,xl)|~aNaturalNumber0(sdtpldt0(sk0_1,sk0_2))|~spl0_35),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f91,f380])).
% 0.20/0.40 fof(f580,plain,(
% 0.20/0.40 ~spl0_8|~spl0_48|spl0_49|~spl0_50|~spl0_35),
% 0.20/0.40 inference(split_clause,[status(thm)],[f579,f129,f570,f573,f576,f379])).
% 0.20/0.40 fof(f582,plain,(
% 0.20/0.40 ~aNaturalNumber0(sk0_1)|~aNaturalNumber0(sk0_2)|spl0_50),
% 0.20/0.40 inference(resolution,[status(thm)],[f578,f32])).
% 0.20/0.40 fof(f583,plain,(
% 0.20/0.42 ~spl0_0|~spl0_8|spl0_50),
% 0.20/0.42 inference(split_clause,[status(thm)],[f582,f95,f129,f576])).
% 0.20/0.42 fof(f584,plain,(
% 0.20/0.42 ~aNaturalNumber0(xl)|spl0_48),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f91,f572])).
% 0.20/0.42 fof(f585,plain,(
% 0.20/0.42 $false|spl0_48),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f584,f84])).
% 0.20/0.42 fof(f586,plain,(
% 0.20/0.42 spl0_48),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f585])).
% 0.20/0.42 fof(f587,plain,(
% 0.20/0.42 $false|~spl0_49),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f574,f94])).
% 0.20/0.42 fof(f588,plain,(
% 0.20/0.42 ~spl0_49),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f587])).
% 0.20/0.42 fof(f589,plain,(
% 0.20/0.42 $false),
% 0.20/0.42 inference(sat_refutation,[status(thm)],[f104,f128,f137,f357,f383,f580,f583,f586,f588])).
% 0.20/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.42 % Elapsed time: 0.068277 seconds
% 0.20/0.42 % CPU time: 0.421821 seconds
% 0.20/0.42 % Total memory used: 64.251 MB
% 0.20/0.42 % Net memory used: 63.894 MB
%------------------------------------------------------------------------------