TSTP Solution File: NUM540+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM540+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:35:04 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM540+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.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 : Mon Apr 29 20:43:58 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f5,definition,(
% 0.13/0.36 (! [W0] :( W0 = slcrc0<=> ( aSet0(W0)& ~ (? [W1] : aElementOf0(W1,W0) )) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f24,axiom,(
% 0.13/0.36 aElementOf0(sz00,szNzAzT0) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f31,axiom,(
% 0.13/0.36 (! [W0] :( aElementOf0(W0,szNzAzT0)=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f50,definition,(
% 0.13/0.36 (! [W0] :( aElementOf0(W0,szNzAzT0)=> (! [W1] :( W1 = slbdtrb0(W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)<=> ( aElementOf0(W2,szNzAzT0)& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) )) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f52,conjecture,(
% 0.13/0.36 slbdtrb0(sz00) = slcrc0 ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f53,negated_conjecture,(
% 0.13/0.36 ~(slbdtrb0(sz00) = slcrc0 )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f52])).
% 0.13/0.36 fof(f64,plain,(
% 0.13/0.36 ![W0]: (W0=slcrc0<=>(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.36 fof(f65,plain,(
% 0.13/0.36 ![W0]: ((~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0))))&(W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f64])).
% 0.13/0.36 fof(f66,plain,(
% 0.13/0.36 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|(?[W1]: aElementOf0(W1,W0)))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f65])).
% 0.13/0.36 fof(f67,plain,(
% 0.13/0.36 (![W0]: (~W0=slcrc0|(aSet0(W0)&(![W1]: ~aElementOf0(W1,W0)))))&(![W0]: (W0=slcrc0|(~aSet0(W0)|aElementOf0(sk0_0(W0),W0))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f66])).
% 0.13/0.36 fof(f70,plain,(
% 0.13/0.36 ![X0]: (X0=slcrc0|~aSet0(X0)|aElementOf0(sk0_0(X0),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f67])).
% 0.13/0.36 fof(f132,plain,(
% 0.13/0.36 aElementOf0(sz00,szNzAzT0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.36 fof(f148,plain,(
% 0.13/0.36 ![W0]: (~aElementOf0(W0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W0),sz00))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.13/0.36 fof(f149,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X0),sz00))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f148])).
% 0.13/0.36 fof(f206,plain,(
% 0.13/0.36 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: (W1=slbdtrb0(W0)<=>(aSet0(W1)&(![W2]: (aElementOf0(W2,W1)<=>(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.13/0.36 fof(f207,plain,(
% 0.13/0.36 ![W0]: (~aElementOf0(W0,szNzAzT0)|(![W1]: ((~W1=slbdtrb0(W0)|(aSet0(W1)&(![W2]: ((~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))))))&(W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f206])).
% 0.13/0.36 fof(f208,plain,(
% 0.13/0.36 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|(?[W2]: ((~aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0)))&(aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))))))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f207])).
% 0.13/0.36 fof(f209,plain,(
% 0.13/0.36 ![W0]: (~aElementOf0(W0,szNzAzT0)|((![W1]: (~W1=slbdtrb0(W0)|(aSet0(W1)&((![W2]: (~aElementOf0(W2,W1)|(aElementOf0(W2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(W2),W0))))&(![W2]: (aElementOf0(W2,W1)|(~aElementOf0(W2,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(W2),W0))))))))&(![W1]: (W1=slbdtrb0(W0)|(~aSet0(W1)|((~aElementOf0(sk0_8(W1,W0),W1)|(~aElementOf0(sk0_8(W1,W0),szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0)))&(aElementOf0(sk0_8(W1,W0),W1)|(aElementOf0(sk0_8(W1,W0),szNzAzT0)&sdtlseqdt0(szszuzczcdt0(sk0_8(W1,W0)),W0)))))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f208])).
% 0.13/0.36 fof(f210,plain,(
% 0.13/0.36 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|aSet0(X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f209])).
% 0.13/0.36 fof(f211,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|~aElementOf0(X2,X1)|aElementOf0(X2,szNzAzT0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f209])).
% 0.13/0.36 fof(f212,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~aElementOf0(X0,szNzAzT0)|~X1=slbdtrb0(X0)|~aElementOf0(X2,X1)|sdtlseqdt0(szszuzczcdt0(X2),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f209])).
% 0.13/0.36 fof(f219,plain,(
% 0.13/0.36 ~slbdtrb0(sz00)=slcrc0),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f53])).
% 0.13/0.36 fof(f243,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(X0,szNzAzT0)|aSet0(slbdtrb0(X0)))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f210])).
% 0.13/0.36 fof(f244,plain,(
% 0.13/0.36 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,slbdtrb0(X0))|aElementOf0(X1,szNzAzT0))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f211])).
% 0.13/0.36 fof(f245,plain,(
% 0.13/0.36 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,slbdtrb0(X0))|sdtlseqdt0(szszuzczcdt0(X1),X0))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f212])).
% 0.13/0.36 fof(f250,plain,(
% 0.13/0.36 aSet0(slbdtrb0(sz00))),
% 0.13/0.36 inference(resolution,[status(thm)],[f243,f132])).
% 0.13/0.36 fof(f254,plain,(
% 0.13/0.36 spl0_1 <=> slbdtrb0(sz00)=slcrc0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f255,plain,(
% 0.13/0.36 slbdtrb0(sz00)=slcrc0|~spl0_1),
% 0.13/0.36 inference(component_clause,[status(thm)],[f254])).
% 0.13/0.36 fof(f307,plain,(
% 0.13/0.36 spl0_11 <=> aElementOf0(sk0_0(slbdtrb0(sz00)),slbdtrb0(sz00))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f308,plain,(
% 0.13/0.36 aElementOf0(sk0_0(slbdtrb0(sz00)),slbdtrb0(sz00))|~spl0_11),
% 0.13/0.36 inference(component_clause,[status(thm)],[f307])).
% 0.13/0.36 fof(f310,plain,(
% 0.13/0.36 slbdtrb0(sz00)=slcrc0|aElementOf0(sk0_0(slbdtrb0(sz00)),slbdtrb0(sz00))),
% 0.13/0.36 inference(resolution,[status(thm)],[f70,f250])).
% 0.13/0.36 fof(f311,plain,(
% 0.13/0.36 spl0_1|spl0_11),
% 0.13/0.36 inference(split_clause,[status(thm)],[f310,f254,f307])).
% 0.13/0.36 fof(f317,plain,(
% 0.13/0.36 $false|~spl0_1),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f255,f219])).
% 0.13/0.36 fof(f318,plain,(
% 0.13/0.36 ~spl0_1),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f317])).
% 0.13/0.36 fof(f381,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(X0,slbdtrb0(sz00))|aElementOf0(X0,szNzAzT0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f244,f132])).
% 0.13/0.36 fof(f414,plain,(
% 0.13/0.36 spl0_25 <=> aElementOf0(sz00,szNzAzT0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f416,plain,(
% 0.13/0.36 ~aElementOf0(sz00,szNzAzT0)|spl0_25),
% 0.13/0.36 inference(component_clause,[status(thm)],[f414])).
% 0.13/0.36 fof(f417,plain,(
% 0.13/0.36 spl0_26 <=> ~aElementOf0(X0,slbdtrb0(sz00))|~aElementOf0(X0,szNzAzT0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f418,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(X0,slbdtrb0(sz00))|~aElementOf0(X0,szNzAzT0)|~spl0_26)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f417])).
% 0.13/0.36 fof(f420,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(sz00,szNzAzT0)|~aElementOf0(X0,slbdtrb0(sz00))|~aElementOf0(X0,szNzAzT0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f245,f149])).
% 0.13/0.36 fof(f421,plain,(
% 0.13/0.36 ~spl0_25|spl0_26),
% 0.13/0.36 inference(split_clause,[status(thm)],[f420,f414,f417])).
% 0.13/0.36 fof(f422,plain,(
% 0.13/0.36 $false|spl0_25),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f416,f132])).
% 0.13/0.36 fof(f423,plain,(
% 0.13/0.36 spl0_25),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f422])).
% 0.13/0.36 fof(f424,plain,(
% 0.13/0.36 ![X0]: (~aElementOf0(X0,slbdtrb0(sz00))|~spl0_26)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f418,f381])).
% 0.13/0.36 fof(f425,plain,(
% 0.13/0.36 $false|~spl0_26|~spl0_11),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f308,f424])).
% 0.13/0.36 fof(f426,plain,(
% 0.13/0.36 ~spl0_26|~spl0_11),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f425])).
% 0.13/0.36 fof(f427,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f311,f318,f421,f423,f426])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.38 % Elapsed time: 0.028031 seconds
% 0.19/0.38 % CPU time: 0.048560 seconds
% 0.19/0.38 % Total memory used: 11.871 MB
% 0.19/0.38 % Net memory used: 11.843 MB
%------------------------------------------------------------------------------