TSTP Solution File: NUM423+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:29:04 EDT 2023
% Result : Theorem 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:46:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.46 % Refutation found
% 0.20/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.46 fof(f2,axiom,(
% 0.20/0.46 aInteger0(sz00) ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f6,axiom,(
% 0.20/0.46 (! [W0,W1] :( ( aInteger0(W0)& aInteger0(W1) )=> aInteger0(sdtasdt0(W0,W1)) ) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f10,axiom,(
% 0.20/0.46 (! [W0] :( aInteger0(W0)=> ( sdtpldt0(W0,smndt0(W0)) = sz00& sz00 = sdtpldt0(smndt0(W0),W0) ) ) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f13,axiom,(
% 0.20/0.46 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f15,axiom,(
% 0.20/0.46 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f18,definition,(
% 0.20/0.46 (! [W0] :( aInteger0(W0)=> (! [W1] :( aDivisorOf0(W1,W0)<=> ( aInteger0(W1)& W1 != sz00& (? [W2] :( aInteger0(W2)& sdtasdt0(W1,W2) = W0 ) )) ) )) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f19,definition,(
% 0.20/0.46 (! [W0,W1,W2] :( ( aInteger0(W0)& aInteger0(W1)& aInteger0(W2)& W2 != sz00 )=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)<=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ) )),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f20,hypothesis,(
% 0.20/0.46 ( aInteger0(xa)& aInteger0(xq)& xq != sz00 ) ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f21,conjecture,(
% 0.20/0.46 sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
% 0.20/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f22,negated_conjecture,(
% 0.20/0.46 ~(sdteqdtlpzmzozddtrp0(xa,xa,xq) )),
% 0.20/0.46 inference(negated_conjecture,[status(cth)],[f21])).
% 0.20/0.46 fof(f26,plain,(
% 0.20/0.46 aInteger0(sz00)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.46 fof(f32,plain,(
% 0.20/0.46 ![W0,W1]: ((~aInteger0(W0)|~aInteger0(W1))|aInteger0(sdtasdt0(W0,W1)))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.46 fof(f33,plain,(
% 0.20/0.46 ![X0,X1]: (~aInteger0(X0)|~aInteger0(X1)|aInteger0(sdtasdt0(X0,X1)))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f32])).
% 0.20/0.46 fof(f41,plain,(
% 0.20/0.46 ![W0]: (~aInteger0(W0)|(sdtpldt0(W0,smndt0(W0))=sz00&sz00=sdtpldt0(smndt0(W0),W0)))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.20/0.46 fof(f42,plain,(
% 0.20/0.46 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,smndt0(X0))=sz00)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f41])).
% 0.20/0.46 fof(f48,plain,(
% 0.20/0.46 ![W0]: (~aInteger0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.20/0.46 fof(f50,plain,(
% 0.20/0.46 ![X0]: (~aInteger0(X0)|X0=sdtasdt0(sz10,X0))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f48])).
% 0.20/0.46 fof(f54,plain,(
% 0.20/0.46 ![W0]: (~aInteger0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.20/0.46 fof(f55,plain,(
% 0.20/0.46 ![X0]: (~aInteger0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f54])).
% 0.20/0.46 fof(f56,plain,(
% 0.20/0.46 ![X0]: (~aInteger0(X0)|sz00=sdtasdt0(sz00,X0))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f54])).
% 0.20/0.46 fof(f62,plain,(
% 0.20/0.46 ![W0]: (~aInteger0(W0)|(![W1]: (aDivisorOf0(W1,W0)<=>((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0))))))),
% 0.20/0.46 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.20/0.46 fof(f63,plain,(
% 0.20/0.46 ![W0]: (~aInteger0(W0)|(![W1]: ((~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0))))&(aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 0.20/0.46 inference(NNF_transformation,[status(esa)],[f62])).
% 0.20/0.46 fof(f64,plain,(
% 0.20/0.46 ![W0]: (~aInteger0(W0)|((![W1]: (~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(?[W2]: (aInteger0(W2)&sdtasdt0(W1,W2)=W0)))))&(![W1]: (aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 0.20/0.46 inference(miniscoping,[status(esa)],[f63])).
% 0.20/0.46 fof(f65,plain,(
% 0.20/0.46 ![W0]: (~aInteger0(W0)|((![W1]: (~aDivisorOf0(W1,W0)|((aInteger0(W1)&~W1=sz00)&(aInteger0(sk0_0(W1,W0))&sdtasdt0(W1,sk0_0(W1,W0))=W0))))&(![W1]: (aDivisorOf0(W1,W0)|((~aInteger0(W1)|W1=sz00)|(![W2]: (~aInteger0(W2)|~sdtasdt0(W1,W2)=W0)))))))),
% 0.20/0.47 inference(skolemization,[status(esa)],[f64])).
% 0.20/0.47 fof(f70,plain,(
% 0.20/0.47 ![X0,X1,X2]: (~aInteger0(X0)|aDivisorOf0(X1,X0)|~aInteger0(X1)|X1=sz00|~aInteger0(X2)|~sdtasdt0(X1,X2)=X0)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f65])).
% 0.20/0.47 fof(f71,plain,(
% 0.20/0.47 ![W0,W1,W2]: ((((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|W2=sz00)|(sdteqdtlpzmzozddtrp0(W0,W1,W2)<=>aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))))),
% 0.20/0.47 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.20/0.47 fof(f72,plain,(
% 0.20/0.47 ![W0,W1,W2]: ((((~aInteger0(W0)|~aInteger0(W1))|~aInteger0(W2))|W2=sz00)|((~sdteqdtlpzmzozddtrp0(W0,W1,W2)|aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))))&(sdteqdtlpzmzozddtrp0(W0,W1,W2)|~aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))))))),
% 0.20/0.47 inference(NNF_transformation,[status(esa)],[f71])).
% 0.20/0.47 fof(f74,plain,(
% 0.20/0.47 ![X0,X1,X2]: (~aInteger0(X0)|~aInteger0(X1)|~aInteger0(X2)|X2=sz00|sdteqdtlpzmzozddtrp0(X0,X1,X2)|~aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))))),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f72])).
% 0.20/0.47 fof(f75,plain,(
% 0.20/0.47 aInteger0(xa)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.47 fof(f76,plain,(
% 0.20/0.47 aInteger0(xq)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.47 fof(f77,plain,(
% 0.20/0.47 ~xq=sz00),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.47 fof(f78,plain,(
% 0.20/0.47 ~sdteqdtlpzmzozddtrp0(xa,xa,xq)),
% 0.20/0.47 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.47 fof(f80,plain,(
% 0.20/0.47 ![X1,X2]: (~aInteger0(sdtasdt0(X1,X2))|aDivisorOf0(X1,sdtasdt0(X1,X2))|~aInteger0(X1)|X1=sz00|~aInteger0(X2))),
% 0.20/0.47 inference(destructive_equality_resolution,[status(esa)],[f70])).
% 0.20/0.47 fof(f81,plain,(
% 0.20/0.47 ![X0,X1]: (aDivisorOf0(X0,sdtasdt0(X0,X1))|~aInteger0(X0)|X0=sz00|~aInteger0(X1))),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f80,f33])).
% 0.20/0.47 fof(f92,plain,(
% 0.20/0.47 sdtasdt0(xq,sz00)=sz00),
% 0.20/0.47 inference(resolution,[status(thm)],[f55,f76])).
% 0.20/0.47 fof(f96,plain,(
% 0.20/0.47 sz00=sdtasdt0(sz00,xq)),
% 0.20/0.47 inference(resolution,[status(thm)],[f56,f76])).
% 0.20/0.47 fof(f101,plain,(
% 0.20/0.47 sdtpldt0(xa,smndt0(xa))=sz00),
% 0.20/0.47 inference(resolution,[status(thm)],[f42,f75])).
% 0.20/0.47 fof(f102,plain,(
% 0.20/0.47 spl0_0 <=> aInteger0(xq)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f104,plain,(
% 0.20/0.47 ~aInteger0(xq)|spl0_0),
% 0.20/0.47 inference(component_clause,[status(thm)],[f102])).
% 0.20/0.47 fof(f115,plain,(
% 0.20/0.47 $false|spl0_0),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f104,f76])).
% 0.20/0.47 fof(f116,plain,(
% 0.20/0.47 spl0_0),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f115])).
% 0.20/0.47 fof(f117,plain,(
% 0.20/0.47 spl0_3 <=> aInteger0(xa)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f119,plain,(
% 0.20/0.47 ~aInteger0(xa)|spl0_3),
% 0.20/0.47 inference(component_clause,[status(thm)],[f117])).
% 0.20/0.47 fof(f120,plain,(
% 0.20/0.47 spl0_4 <=> ~aInteger0(X0)|X0=sz00|sdteqdtlpzmzozddtrp0(xa,xa,X0)|~aDivisorOf0(X0,sz00)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f121,plain,(
% 0.20/0.47 ![X0]: (~aInteger0(X0)|X0=sz00|sdteqdtlpzmzozddtrp0(xa,xa,X0)|~aDivisorOf0(X0,sz00)|~spl0_4)),
% 0.20/0.47 inference(component_clause,[status(thm)],[f120])).
% 0.20/0.47 fof(f123,plain,(
% 0.20/0.47 ![X0]: (~aInteger0(xa)|~aInteger0(xa)|~aInteger0(X0)|X0=sz00|sdteqdtlpzmzozddtrp0(xa,xa,X0)|~aDivisorOf0(X0,sz00))),
% 0.20/0.47 inference(paramodulation,[status(thm)],[f101,f74])).
% 0.20/0.47 fof(f124,plain,(
% 0.20/0.47 ~spl0_3|spl0_4),
% 0.20/0.47 inference(split_clause,[status(thm)],[f123,f117,f120])).
% 0.20/0.47 fof(f130,plain,(
% 0.20/0.47 $false|spl0_3),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f119,f75])).
% 0.20/0.47 fof(f131,plain,(
% 0.20/0.47 spl0_3),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f130])).
% 0.20/0.47 fof(f137,plain,(
% 0.20/0.47 ![X0]: (aDivisorOf0(X0,sdtasdt0(X0,sz00))|~aInteger0(X0)|X0=sz00)),
% 0.20/0.47 inference(resolution,[status(thm)],[f81,f26])).
% 0.20/0.47 fof(f148,plain,(
% 0.20/0.47 spl0_8 <=> aDivisorOf0(xq,sz00)),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f151,plain,(
% 0.20/0.47 spl0_9 <=> xq=sz00),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f152,plain,(
% 0.20/0.47 xq=sz00|~spl0_9),
% 0.20/0.47 inference(component_clause,[status(thm)],[f151])).
% 0.20/0.47 fof(f154,plain,(
% 0.20/0.47 aDivisorOf0(xq,sz00)|~aInteger0(xq)|xq=sz00),
% 0.20/0.47 inference(paramodulation,[status(thm)],[f92,f137])).
% 0.20/0.47 fof(f155,plain,(
% 0.20/0.47 spl0_8|~spl0_0|spl0_9),
% 0.20/0.47 inference(split_clause,[status(thm)],[f154,f148,f102,f151])).
% 0.20/0.47 fof(f174,plain,(
% 0.20/0.47 spl0_14 <=> sz10=sz00),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f175,plain,(
% 0.20/0.47 sz10=sz00|~spl0_14),
% 0.20/0.47 inference(component_clause,[status(thm)],[f174])).
% 0.20/0.47 fof(f194,plain,(
% 0.20/0.47 $false|~spl0_9),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f152,f77])).
% 0.20/0.47 fof(f195,plain,(
% 0.20/0.47 ~spl0_9),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f194])).
% 0.20/0.47 fof(f230,plain,(
% 0.20/0.47 spl0_19 <=> sdtasdt0(sz00,xq)=sz00),
% 0.20/0.47 introduced(split_symbol_definition)).
% 0.20/0.47 fof(f232,plain,(
% 0.20/0.47 ~sdtasdt0(sz00,xq)=sz00|spl0_19),
% 0.20/0.47 inference(component_clause,[status(thm)],[f230])).
% 0.20/0.47 fof(f240,plain,(
% 0.20/0.47 ~sz00=sz00|spl0_19),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f96,f232])).
% 0.20/0.47 fof(f241,plain,(
% 0.20/0.47 $false|spl0_19),
% 0.20/0.47 inference(trivial_equality_resolution,[status(esa)],[f240])).
% 0.20/0.47 fof(f242,plain,(
% 0.20/0.47 spl0_19),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f241])).
% 0.20/0.47 fof(f262,plain,(
% 0.20/0.47 ![X0]: (~aInteger0(X0)|X0=sdtasdt0(sz00,X0)|~spl0_14)),
% 0.20/0.47 inference(backward_demodulation,[status(thm)],[f175,f50])).
% 0.20/0.47 fof(f289,plain,(
% 0.20/0.47 xq=sdtasdt0(sz00,xq)|~spl0_14),
% 0.20/0.47 inference(resolution,[status(thm)],[f262,f76])).
% 0.20/0.47 fof(f290,plain,(
% 0.20/0.47 xq=sz00|~spl0_14),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f96,f289])).
% 0.20/0.47 fof(f291,plain,(
% 0.20/0.47 $false|~spl0_14),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f290,f77])).
% 0.20/0.47 fof(f292,plain,(
% 0.20/0.47 ~spl0_14),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f291])).
% 0.20/0.47 fof(f303,plain,(
% 0.20/0.47 ~aInteger0(xq)|xq=sz00|~aDivisorOf0(xq,sz00)|~spl0_4),
% 0.20/0.47 inference(resolution,[status(thm)],[f78,f121])).
% 0.20/0.47 fof(f304,plain,(
% 0.20/0.47 ~spl0_0|spl0_9|~spl0_8|~spl0_4),
% 0.20/0.47 inference(split_clause,[status(thm)],[f303,f102,f151,f148,f120])).
% 0.20/0.47 fof(f305,plain,(
% 0.20/0.47 $false),
% 0.20/0.47 inference(sat_refutation,[status(thm)],[f116,f124,f131,f155,f195,f242,f292,f304])).
% 0.20/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.48 % Elapsed time: 0.128075 seconds
% 0.20/0.48 % CPU time: 0.872037 seconds
% 0.20/0.48 % Memory used: 54.045 MB
%------------------------------------------------------------------------------