TSTP Solution File: NUM463+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM463+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 0.15s 0.51s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUM463+2 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n006.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 : Mon Apr 29 20:43:35 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.15/0.51 % Refutation found
% 0.15/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.51 fof(f2,axiom,(
% 0.15/0.51 aNaturalNumber0(sz00) ),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f3,axiom,(
% 0.15/0.51 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f9,axiom,(
% 0.15/0.51 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f11,axiom,(
% 0.15/0.51 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f12,axiom,(
% 0.15/0.51 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f20,axiom,(
% 0.15/0.51 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f25,axiom,(
% 0.15/0.51 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( W0 != sz00& W1 != W2& sdtlseqdt0(W1,W2) )=> ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)& sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(W1,W0) != sdtasdt0(W2,W0)& sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) )),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f26,axiom,(
% 0.15/0.51 (! [W0] :( aNaturalNumber0(W0)=> ( W0 = sz00| W0 = sz10| ( sz10 != W0& sdtlseqdt0(sz10,W0) ) ) ) )),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f27,hypothesis,(
% 0.15/0.51 ( aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f28,conjecture,(
% 0.15/0.51 ( xm != sz00=> ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xn,W0) = sdtasdt0(xn,xm) ))| sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ) ),
% 0.15/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.51 fof(f29,negated_conjecture,(
% 0.15/0.51 ~(( xm != sz00=> ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xn,W0) = sdtasdt0(xn,xm) ))| sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ) )),
% 0.15/0.51 inference(negated_conjecture,[status(cth)],[f28])).
% 0.15/0.51 fof(f33,plain,(
% 0.15/0.51 aNaturalNumber0(sz00)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.51 fof(f34,plain,(
% 0.15/0.51 aNaturalNumber0(sz10)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.51 fof(f47,plain,(
% 0.15/0.51 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.15/0.51 fof(f48,plain,(
% 0.15/0.51 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.51 fof(f51,plain,(
% 0.15/0.51 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.15/0.51 fof(f53,plain,(
% 0.15/0.51 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz10,X0))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.51 fof(f54,plain,(
% 0.15/0.51 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.15/0.51 fof(f55,plain,(
% 0.15/0.51 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f54])).
% 0.15/0.51 fof(f83,plain,(
% 0.15/0.51 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.15/0.51 fof(f84,plain,(
% 0.15/0.51 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f83])).
% 0.15/0.51 fof(f97,plain,(
% 0.15/0.51 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|(((W0=sz00|W1=W2)|~sdtlseqdt0(W1,W2))|(((~sdtasdt0(W0,W1)=sdtasdt0(W0,W2)&sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)))&~sdtasdt0(W1,W0)=sdtasdt0(W2,W0))&sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)))))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.15/0.51 fof(f101,plain,(
% 0.15/0.51 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f97])).
% 0.15/0.51 fof(f102,plain,(
% 0.15/0.51 ![W0]: (~aNaturalNumber0(W0)|((W0=sz00|W0=sz10)|(~sz10=W0&sdtlseqdt0(sz10,W0))))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.15/0.51 fof(f104,plain,(
% 0.15/0.51 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f102])).
% 0.15/0.51 fof(f105,plain,(
% 0.15/0.51 aNaturalNumber0(xm)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.51 fof(f106,plain,(
% 0.15/0.51 aNaturalNumber0(xn)),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.51 fof(f107,plain,(
% 0.15/0.51 (~xm=sz00&((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xn,W0)=sdtasdt0(xn,xm)))&~sdtlseqdt0(xn,sdtasdt0(xn,xm))))),
% 0.15/0.51 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.15/0.51 fof(f108,plain,(
% 0.15/0.51 ~xm=sz00),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f107])).
% 0.15/0.51 fof(f110,plain,(
% 0.15/0.51 ~sdtlseqdt0(xn,sdtasdt0(xn,xm))),
% 0.15/0.51 inference(cnf_transformation,[status(esa)],[f107])).
% 0.15/0.51 fof(f115,plain,(
% 0.15/0.51 sdtlseqdt0(sz00,sz00)),
% 0.15/0.51 inference(resolution,[status(thm)],[f33,f84])).
% 0.15/0.51 fof(f189,plain,(
% 0.15/0.51 spl0_7 <=> aNaturalNumber0(sz10)),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f191,plain,(
% 0.15/0.51 ~aNaturalNumber0(sz10)|spl0_7),
% 0.15/0.51 inference(component_clause,[status(thm)],[f189])).
% 0.15/0.51 fof(f199,plain,(
% 0.15/0.51 $false|spl0_7),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f191,f34])).
% 0.15/0.51 fof(f200,plain,(
% 0.15/0.51 spl0_7),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f199])).
% 0.15/0.51 fof(f422,plain,(
% 0.15/0.51 spl0_39 <=> xm=sz00),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f423,plain,(
% 0.15/0.51 xm=sz00|~spl0_39),
% 0.15/0.51 inference(component_clause,[status(thm)],[f422])).
% 0.15/0.51 fof(f436,plain,(
% 0.15/0.51 spl0_41 <=> xm=sz10),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f437,plain,(
% 0.15/0.51 xm=sz10|~spl0_41),
% 0.15/0.51 inference(component_clause,[status(thm)],[f436])).
% 0.15/0.51 fof(f439,plain,(
% 0.15/0.51 spl0_42 <=> sdtlseqdt0(sz10,xm)),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f440,plain,(
% 0.15/0.51 sdtlseqdt0(sz10,xm)|~spl0_42),
% 0.15/0.51 inference(component_clause,[status(thm)],[f439])).
% 0.15/0.51 fof(f442,plain,(
% 0.15/0.51 xm=sz00|xm=sz10|sdtlseqdt0(sz10,xm)),
% 0.15/0.51 inference(resolution,[status(thm)],[f105,f104])).
% 0.15/0.51 fof(f443,plain,(
% 0.15/0.51 spl0_39|spl0_41|spl0_42),
% 0.15/0.51 inference(split_clause,[status(thm)],[f442,f422,f436,f439])).
% 0.15/0.51 fof(f465,plain,(
% 0.15/0.51 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(xm,X0)=sdtasdt0(X0,xm))),
% 0.15/0.51 inference(resolution,[status(thm)],[f105,f48])).
% 0.15/0.51 fof(f471,plain,(
% 0.15/0.51 sdtasdt0(xm,sz00)=sz00),
% 0.15/0.51 inference(resolution,[status(thm)],[f105,f55])).
% 0.15/0.51 fof(f481,plain,(
% 0.15/0.51 $false|~spl0_39),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f423,f108])).
% 0.15/0.51 fof(f482,plain,(
% 0.15/0.51 ~spl0_39),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f481])).
% 0.15/0.51 fof(f515,plain,(
% 0.15/0.51 sdtasdt0(xm,xn)=sdtasdt0(xn,xm)),
% 0.15/0.51 inference(resolution,[status(thm)],[f106,f465])).
% 0.15/0.51 fof(f524,plain,(
% 0.15/0.51 spl0_52 <=> xn=sz00),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f525,plain,(
% 0.15/0.51 xn=sz00|~spl0_52),
% 0.15/0.51 inference(component_clause,[status(thm)],[f524])).
% 0.15/0.51 fof(f534,plain,(
% 0.15/0.51 spl0_54 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn))),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f535,plain,(
% 0.15/0.51 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn))|~spl0_54)),
% 0.15/0.51 inference(component_clause,[status(thm)],[f534])).
% 0.15/0.51 fof(f537,plain,(
% 0.15/0.51 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|xn=sz00|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn)))),
% 0.15/0.51 inference(resolution,[status(thm)],[f106,f101])).
% 0.15/0.51 fof(f538,plain,(
% 0.15/0.51 spl0_54|spl0_52),
% 0.15/0.51 inference(split_clause,[status(thm)],[f537,f534,f524])).
% 0.15/0.51 fof(f573,plain,(
% 0.15/0.51 xn=sdtasdt0(sz10,xn)),
% 0.15/0.51 inference(resolution,[status(thm)],[f106,f53])).
% 0.15/0.51 fof(f586,plain,(
% 0.15/0.51 sdtlseqdt0(xn,xn)),
% 0.15/0.51 inference(resolution,[status(thm)],[f106,f84])).
% 0.15/0.51 fof(f590,plain,(
% 0.15/0.51 ~sdtlseqdt0(xn,sdtasdt0(xm,xn))),
% 0.15/0.51 inference(backward_demodulation,[status(thm)],[f515,f110])).
% 0.15/0.51 fof(f607,plain,(
% 0.15/0.51 ~sdtlseqdt0(xn,sdtasdt0(xm,sz00))|~spl0_52),
% 0.15/0.51 inference(backward_demodulation,[status(thm)],[f525,f590])).
% 0.15/0.51 fof(f608,plain,(
% 0.15/0.51 ~sdtlseqdt0(sz00,sdtasdt0(xm,sz00))|~spl0_52),
% 0.15/0.51 inference(forward_demodulation,[status(thm)],[f525,f607])).
% 0.15/0.51 fof(f609,plain,(
% 0.15/0.51 ~sdtlseqdt0(sz00,sz00)|~spl0_52),
% 0.15/0.51 inference(forward_demodulation,[status(thm)],[f471,f608])).
% 0.15/0.51 fof(f610,plain,(
% 0.15/0.51 $false|~spl0_52),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f609,f115])).
% 0.15/0.51 fof(f611,plain,(
% 0.15/0.51 ~spl0_52),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f610])).
% 0.15/0.51 fof(f770,plain,(
% 0.15/0.51 spl0_79 <=> aNaturalNumber0(xm)),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f772,plain,(
% 0.15/0.51 ~aNaturalNumber0(xm)|spl0_79),
% 0.15/0.51 inference(component_clause,[status(thm)],[f770])).
% 0.15/0.51 fof(f803,plain,(
% 0.15/0.51 $false|spl0_79),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f772,f105])).
% 0.15/0.51 fof(f804,plain,(
% 0.15/0.51 spl0_79),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f803])).
% 0.15/0.51 fof(f966,plain,(
% 0.15/0.51 spl0_113 <=> sdtlseqdt0(sdtasdt0(sz10,xn),sdtasdt0(xm,xn))),
% 0.15/0.51 introduced(split_symbol_definition)).
% 0.15/0.51 fof(f967,plain,(
% 0.15/0.51 sdtlseqdt0(sdtasdt0(sz10,xn),sdtasdt0(xm,xn))|~spl0_113),
% 0.15/0.51 inference(component_clause,[status(thm)],[f966])).
% 0.15/0.51 fof(f969,plain,(
% 0.15/0.51 ~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)|sz10=xm|sdtlseqdt0(sdtasdt0(sz10,xn),sdtasdt0(xm,xn))|~spl0_42|~spl0_54),
% 0.15/0.51 inference(resolution,[status(thm)],[f440,f535])).
% 0.15/0.51 fof(f970,plain,(
% 0.15/0.51 ~spl0_7|~spl0_79|spl0_41|spl0_113|~spl0_42|~spl0_54),
% 0.15/0.51 inference(split_clause,[status(thm)],[f969,f189,f770,f436,f966,f439,f534])).
% 0.15/0.51 fof(f1020,plain,(
% 0.15/0.51 ~sdtlseqdt0(xn,sdtasdt0(sz10,xn))|~spl0_41),
% 0.15/0.51 inference(backward_demodulation,[status(thm)],[f437,f590])).
% 0.15/0.51 fof(f1021,plain,(
% 0.15/0.51 ~sdtlseqdt0(xn,xn)|~spl0_41),
% 0.15/0.51 inference(forward_demodulation,[status(thm)],[f573,f1020])).
% 0.15/0.51 fof(f1022,plain,(
% 0.15/0.51 $false|~spl0_41),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1021,f586])).
% 0.15/0.51 fof(f1023,plain,(
% 0.15/0.51 ~spl0_41),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f1022])).
% 0.15/0.51 fof(f1027,plain,(
% 0.15/0.51 sdtlseqdt0(xn,sdtasdt0(xm,xn))|~spl0_113),
% 0.15/0.51 inference(forward_demodulation,[status(thm)],[f573,f967])).
% 0.15/0.51 fof(f1029,plain,(
% 0.15/0.51 $false|~spl0_113),
% 0.15/0.51 inference(forward_subsumption_resolution,[status(thm)],[f590,f1027])).
% 0.15/0.51 fof(f1030,plain,(
% 0.15/0.51 ~spl0_113),
% 0.15/0.51 inference(contradiction_clause,[status(thm)],[f1029])).
% 0.15/0.51 fof(f1031,plain,(
% 0.15/0.51 $false),
% 0.15/0.51 inference(sat_refutation,[status(thm)],[f200,f443,f482,f538,f611,f804,f970,f1023,f1030])).
% 0.15/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.52 % Elapsed time: 0.187828 seconds
% 0.15/0.52 % CPU time: 1.284828 seconds
% 0.15/0.52 % Total memory used: 66.504 MB
% 0.15/0.52 % Net memory used: 65.520 MB
%------------------------------------------------------------------------------