TSTP Solution File: NUM552+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM552+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:35:07 EDT 2024
% Result : Theorem 1.96s 0.59s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM552+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n016.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 21:30:10 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 1.96/0.59 % Refutation found
% 1.96/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.96/0.59 % SZS output start CNFRefutation for theBenchmark
% 1.96/0.59 fof(f10,definition,(
% 1.96/0.59 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)<=> ( aSet0(W1)& (! [W2] :( aElementOf0(W2,W1)=> aElementOf0(W2,W0) ) )) ) )) )),
% 1.96/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.59 fof(f57,definition,(
% 1.96/0.59 (! [W0,W1] :( ( aSet0(W0)& aElementOf0(W1,szNzAzT0) )=> (! [W2] :( W2 = slbdtsldtrb0(W0,W1)<=> ( aSet0(W2)& (! [W3] :( aElementOf0(W3,W2)<=> ( aSubsetOf0(W3,W0)& sbrdtbr0(W3) = W1 ) ) )) ) )) )),
% 1.96/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.59 fof(f61,hypothesis,(
% 1.96/0.59 aElementOf0(xk,szNzAzT0) ),
% 1.96/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.59 fof(f62,hypothesis,(
% 1.96/0.59 ( aSet0(xS)& aSet0(xT)& xk != sz00 ) ),
% 1.96/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.59 fof(f63,hypothesis,(
% 1.96/0.59 ( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))& slbdtsldtrb0(xS,xk) != slcrc0 ) ),
% 1.96/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.59 fof(f65,hypothesis,(
% 1.96/0.59 aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
% 1.96/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.59 fof(f68,conjecture,(
% 1.96/0.59 ( aElementOf0(xx,xQ)=> aElementOf0(xx,xT) ) ),
% 1.96/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.59 fof(f69,negated_conjecture,(
% 1.96/0.59 ~(( aElementOf0(xx,xQ)=> aElementOf0(xx,xT) ) )),
% 1.96/0.59 inference(negated_conjecture,[status(cth)],[f68])).
% 1.96/0.59 fof(f94,plain,(
% 1.96/0.59 ![W0]: (~aSet0(W0)|(![W1]: (aSubsetOf0(W1,W0)<=>(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))))),
% 1.96/0.59 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 1.96/0.59 fof(f95,plain,(
% 1.96/0.59 ![W0]: (~aSet0(W0)|(![W1]: ((~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0)))))&(aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 1.96/0.59 inference(NNF_transformation,[status(esa)],[f94])).
% 1.96/0.59 fof(f96,plain,(
% 1.96/0.59 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(?[W2]: (aElementOf0(W2,W1)&~aElementOf0(W2,W0))))))))),
% 1.96/0.59 inference(miniscoping,[status(esa)],[f95])).
% 1.96/0.59 fof(f97,plain,(
% 1.96/0.59 ![W0]: (~aSet0(W0)|((![W1]: (~aSubsetOf0(W1,W0)|(aSet0(W1)&(![W2]: (~aElementOf0(W2,W1)|aElementOf0(W2,W0))))))&(![W1]: (aSubsetOf0(W1,W0)|(~aSet0(W1)|(aElementOf0(sk0_1(W1,W0),W1)&~aElementOf0(sk0_1(W1,W0),W0)))))))),
% 1.96/0.59 inference(skolemization,[status(esa)],[f96])).
% 1.96/0.59 fof(f99,plain,(
% 1.96/0.59 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aElementOf0(X2,X1)|aElementOf0(X2,X0))),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f97])).
% 1.96/0.59 fof(f251,plain,(
% 1.96/0.59 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: (W2=slbdtsldtrb0(W0,W1)<=>(aSet0(W2)&(![W3]: (aElementOf0(W3,W2)<=>(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))),
% 1.96/0.59 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 1.96/0.59 fof(f252,plain,(
% 1.96/0.59 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|(![W2]: ((~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&(![W3]: ((~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))))))&(W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 1.96/0.59 inference(NNF_transformation,[status(esa)],[f251])).
% 1.96/0.59 fof(f253,plain,(
% 1.96/0.59 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|(?[W3]: ((~aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1))&(aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))))))))),
% 1.96/0.59 inference(miniscoping,[status(esa)],[f252])).
% 1.96/0.59 fof(f254,plain,(
% 1.96/0.59 ![W0,W1]: ((~aSet0(W0)|~aElementOf0(W1,szNzAzT0))|((![W2]: (~W2=slbdtsldtrb0(W0,W1)|(aSet0(W2)&((![W3]: (~aElementOf0(W3,W2)|(aSubsetOf0(W3,W0)&sbrdtbr0(W3)=W1)))&(![W3]: (aElementOf0(W3,W2)|(~aSubsetOf0(W3,W0)|~sbrdtbr0(W3)=W1)))))))&(![W2]: (W2=slbdtsldtrb0(W0,W1)|(~aSet0(W2)|((~aElementOf0(sk0_10(W2,W1,W0),W2)|(~aSubsetOf0(sk0_10(W2,W1,W0),W0)|~sbrdtbr0(sk0_10(W2,W1,W0))=W1))&(aElementOf0(sk0_10(W2,W1,W0),W2)|(aSubsetOf0(sk0_10(W2,W1,W0),W0)&sbrdtbr0(sk0_10(W2,W1,W0))=W1))))))))),
% 1.96/0.59 inference(skolemization,[status(esa)],[f253])).
% 1.96/0.59 fof(f255,plain,(
% 1.96/0.59 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|aSet0(X2))),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f254])).
% 1.96/0.59 fof(f256,plain,(
% 1.96/0.59 ![X0,X1,X2,X3]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~X2=slbdtsldtrb0(X0,X1)|~aElementOf0(X3,X2)|aSubsetOf0(X3,X0))),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f254])).
% 1.96/0.59 fof(f268,plain,(
% 1.96/0.59 aElementOf0(xk,szNzAzT0)),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f61])).
% 1.96/0.59 fof(f270,plain,(
% 1.96/0.59 aSet0(xT)),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f62])).
% 1.96/0.59 fof(f272,plain,(
% 1.96/0.59 aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f63])).
% 1.96/0.59 fof(f275,plain,(
% 1.96/0.59 aElementOf0(xQ,slbdtsldtrb0(xS,xk))),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f65])).
% 1.96/0.59 fof(f281,plain,(
% 1.96/0.59 (aElementOf0(xx,xQ)&~aElementOf0(xx,xT))),
% 1.96/0.59 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 1.96/0.59 fof(f282,plain,(
% 1.96/0.59 aElementOf0(xx,xQ)),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f281])).
% 1.96/0.59 fof(f283,plain,(
% 1.96/0.59 ~aElementOf0(xx,xT)),
% 1.96/0.59 inference(cnf_transformation,[status(esa)],[f281])).
% 1.96/0.59 fof(f322,plain,(
% 1.96/0.59 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|aSet0(slbdtsldtrb0(X0,X1)))),
% 1.96/0.59 inference(destructive_equality_resolution,[status(esa)],[f255])).
% 1.96/0.59 fof(f323,plain,(
% 1.96/0.59 ![X0,X1,X2]: (~aSet0(X0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,slbdtsldtrb0(X0,X1))|aSubsetOf0(X2,X0))),
% 1.96/0.59 inference(destructive_equality_resolution,[status(esa)],[f256])).
% 1.96/0.59 fof(f408,plain,(
% 1.96/0.59 spl0_14 <=> aSet0(slbdtsldtrb0(xT,xk))),
% 1.96/0.59 introduced(split_symbol_definition)).
% 1.96/0.59 fof(f410,plain,(
% 1.96/0.59 ~aSet0(slbdtsldtrb0(xT,xk))|spl0_14),
% 1.96/0.59 inference(component_clause,[status(thm)],[f408])).
% 1.96/0.59 fof(f416,plain,(
% 1.96/0.59 spl0_16 <=> ~aElementOf0(X0,slbdtsldtrb0(xS,xk))|aElementOf0(X0,slbdtsldtrb0(xT,xk))),
% 1.96/0.59 introduced(split_symbol_definition)).
% 1.96/0.59 fof(f417,plain,(
% 1.96/0.59 ![X0]: (~aElementOf0(X0,slbdtsldtrb0(xS,xk))|aElementOf0(X0,slbdtsldtrb0(xT,xk))|~spl0_16)),
% 1.96/0.59 inference(component_clause,[status(thm)],[f416])).
% 1.96/0.59 fof(f419,plain,(
% 1.96/0.59 ![X0]: (~aSet0(slbdtsldtrb0(xT,xk))|~aElementOf0(X0,slbdtsldtrb0(xS,xk))|aElementOf0(X0,slbdtsldtrb0(xT,xk)))),
% 1.96/0.59 inference(resolution,[status(thm)],[f99,f272])).
% 1.96/0.59 fof(f420,plain,(
% 1.96/0.59 ~spl0_14|spl0_16),
% 1.96/0.59 inference(split_clause,[status(thm)],[f419,f408,f416])).
% 1.96/0.59 fof(f524,plain,(
% 1.96/0.59 spl0_33 <=> aElementOf0(xk,szNzAzT0)),
% 1.96/0.59 introduced(split_symbol_definition)).
% 1.96/0.59 fof(f526,plain,(
% 1.96/0.59 ~aElementOf0(xk,szNzAzT0)|spl0_33),
% 1.96/0.59 inference(component_clause,[status(thm)],[f524])).
% 1.96/0.59 fof(f818,plain,(
% 1.96/0.59 $false|spl0_33),
% 1.96/0.59 inference(forward_subsumption_resolution,[status(thm)],[f526,f268])).
% 1.96/0.59 fof(f819,plain,(
% 1.96/0.59 spl0_33),
% 1.96/0.59 inference(contradiction_clause,[status(thm)],[f818])).
% 1.96/0.59 fof(f931,plain,(
% 1.96/0.59 spl0_84 <=> aSet0(xT)),
% 1.96/0.59 introduced(split_symbol_definition)).
% 1.96/0.59 fof(f933,plain,(
% 1.96/0.59 ~aSet0(xT)|spl0_84),
% 1.96/0.59 inference(component_clause,[status(thm)],[f931])).
% 1.96/0.59 fof(f934,plain,(
% 1.96/0.59 ~aSet0(xT)|~aElementOf0(xk,szNzAzT0)|spl0_14),
% 1.96/0.59 inference(resolution,[status(thm)],[f322,f410])).
% 1.96/0.59 fof(f935,plain,(
% 1.96/0.59 ~spl0_84|~spl0_33|spl0_14),
% 1.96/0.59 inference(split_clause,[status(thm)],[f934,f931,f524,f408])).
% 1.96/0.59 fof(f936,plain,(
% 1.96/0.59 $false|spl0_84),
% 1.96/0.59 inference(forward_subsumption_resolution,[status(thm)],[f933,f270])).
% 1.96/0.59 fof(f937,plain,(
% 1.96/0.59 spl0_84),
% 1.96/0.59 inference(contradiction_clause,[status(thm)],[f936])).
% 1.96/0.59 fof(f1252,plain,(
% 1.96/0.59 aElementOf0(xQ,slbdtsldtrb0(xT,xk))|~spl0_16),
% 1.96/0.59 inference(resolution,[status(thm)],[f275,f417])).
% 1.96/0.59 fof(f2478,plain,(
% 1.96/0.59 spl0_240 <=> aSubsetOf0(xQ,xT)),
% 1.96/0.59 introduced(split_symbol_definition)).
% 1.96/0.59 fof(f2479,plain,(
% 1.96/0.59 aSubsetOf0(xQ,xT)|~spl0_240),
% 1.96/0.59 inference(component_clause,[status(thm)],[f2478])).
% 1.96/0.59 fof(f2481,plain,(
% 1.96/0.59 ~aSet0(xT)|~aElementOf0(xk,szNzAzT0)|aSubsetOf0(xQ,xT)|~spl0_16),
% 1.96/0.59 inference(resolution,[status(thm)],[f323,f1252])).
% 1.96/0.59 fof(f2482,plain,(
% 1.96/0.59 ~spl0_84|~spl0_33|spl0_240|~spl0_16),
% 1.96/0.59 inference(split_clause,[status(thm)],[f2481,f931,f524,f2478,f416])).
% 1.96/0.60 fof(f2533,plain,(
% 1.96/0.60 spl0_247 <=> ~aElementOf0(X0,xQ)|aElementOf0(X0,xT)),
% 1.96/0.60 introduced(split_symbol_definition)).
% 1.96/0.60 fof(f2534,plain,(
% 1.96/0.60 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,xT)|~spl0_247)),
% 1.96/0.60 inference(component_clause,[status(thm)],[f2533])).
% 1.96/0.60 fof(f2536,plain,(
% 1.96/0.60 ![X0]: (~aSet0(xT)|~aElementOf0(X0,xQ)|aElementOf0(X0,xT)|~spl0_240)),
% 1.96/0.60 inference(resolution,[status(thm)],[f2479,f99])).
% 1.96/0.60 fof(f2537,plain,(
% 1.96/0.60 ~spl0_84|spl0_247|~spl0_240),
% 1.96/0.60 inference(split_clause,[status(thm)],[f2536,f931,f2533,f2478])).
% 1.96/0.60 fof(f2589,plain,(
% 1.96/0.60 aElementOf0(xx,xT)|~spl0_247),
% 1.96/0.60 inference(resolution,[status(thm)],[f2534,f282])).
% 1.96/0.60 fof(f2590,plain,(
% 1.96/0.60 $false|~spl0_247),
% 1.96/0.60 inference(forward_subsumption_resolution,[status(thm)],[f2589,f283])).
% 1.96/0.60 fof(f2591,plain,(
% 1.96/0.60 ~spl0_247),
% 1.96/0.60 inference(contradiction_clause,[status(thm)],[f2590])).
% 1.96/0.60 fof(f2592,plain,(
% 1.96/0.60 $false),
% 1.96/0.60 inference(sat_refutation,[status(thm)],[f420,f819,f935,f937,f2482,f2537,f2591])).
% 1.96/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.96/0.61 % Elapsed time: 0.285796 seconds
% 1.96/0.61 % CPU time: 2.093698 seconds
% 1.96/0.61 % Total memory used: 87.336 MB
% 1.96/0.61 % Net memory used: 86.109 MB
%------------------------------------------------------------------------------