TSTP Solution File: KRS099+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:24:46 EDT 2024
% Result : Unsatisfiable 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:23:59 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.32 % Refutation found
% 0.16/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.32 fof(f13,axiom,(
% 0.16/0.32 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y0,Y1,Y2] :( rtt(X,Y0)& rtt(X,Y1)& rtt(X,Y2)& Y0 != Y1& Y0 != Y2& Y1 != Y2 ))& (! [Y] :( rtt(X,Y)=> ca(Y) ))& (! [Y0,Y1] :( ( rtt(X,Y0)& rtt(X,Y1) )=> Y0 = Y1 ))& (! [Y0,Y1] :( ( rtt(X,Y0)& rtt(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.16/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.32 fof(f16,axiom,(
% 0.16/0.32 cUnsatisfiable(i2003_11_14_17_20_29215) ),
% 0.16/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.32 fof(f54,plain,(
% 0.16/0.32 ![X]: (cUnsatisfiable(X)<=>((((?[Y0,Y1,Y2]: (((((rtt(X,Y0)&rtt(X,Y1))&rtt(X,Y2))&~Y0=Y1)&~Y0=Y2)&~Y1=Y2))&(![Y]: (~rtt(X,Y)|ca(Y))))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1))))),
% 0.16/0.32 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.16/0.32 fof(f55,plain,(
% 0.16/0.32 ![X,Y]: (pd0_0(Y,X)<=>(~rtt(X,Y)|ca(Y)))),
% 0.16/0.32 introduced(predicate_definition,[f54])).
% 0.16/0.32 fof(f56,plain,(
% 0.16/0.32 ![X,Y0,Y1]: (pd0_1(Y1,Y0,X)<=>((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1))),
% 0.16/0.32 introduced(predicate_definition,[f54])).
% 0.16/0.32 fof(f57,plain,(
% 0.16/0.32 ![X]: (cUnsatisfiable(X)<=>((((?[Y0,Y1,Y2]: (((((rtt(X,Y0)&rtt(X,Y1))&rtt(X,Y2))&~Y0=Y1)&~Y0=Y2)&~Y1=Y2))&(![Y]: pd0_0(Y,X)))&(![Y0,Y1]: pd0_1(Y1,Y0,X)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1))))),
% 0.16/0.32 inference(formula_renaming,[status(thm)],[f54,f56,f55])).
% 0.16/0.32 fof(f58,plain,(
% 0.16/0.32 ![X]: ((~cUnsatisfiable(X)|((((?[Y0,Y1,Y2]: (((((rtt(X,Y0)&rtt(X,Y1))&rtt(X,Y2))&~Y0=Y1)&~Y0=Y2)&~Y1=Y2))&(![Y]: pd0_0(Y,X)))&(![Y0,Y1]: pd0_1(Y1,Y0,X)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1))))&(cUnsatisfiable(X)|((((![Y0,Y1,Y2]: (((((~rtt(X,Y0)|~rtt(X,Y1))|~rtt(X,Y2))|Y0=Y1)|Y0=Y2)|Y1=Y2))|(?[Y]: ~pd0_0(Y,X)))|(?[Y0,Y1]: ~pd0_1(Y1,Y0,X)))|(?[Y0,Y1]: ((rtt(X,Y0)&rtt(X,Y1))&~Y0=Y1)))))),
% 0.16/0.32 inference(NNF_transformation,[status(esa)],[f57])).
% 0.16/0.32 fof(f59,plain,(
% 0.16/0.32 (![X]: (~cUnsatisfiable(X)|((((?[Y1,Y2]: ((?[Y0]: ((((rtt(X,Y0)&rtt(X,Y1))&rtt(X,Y2))&~Y0=Y1)&~Y0=Y2))&~Y1=Y2))&(![Y]: pd0_0(Y,X)))&(![Y0,Y1]: pd0_1(Y1,Y0,X)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|((((![Y1,Y2]: ((![Y0]: ((((~rtt(X,Y0)|~rtt(X,Y1))|~rtt(X,Y2))|Y0=Y1)|Y0=Y2))|Y1=Y2))|(?[Y]: ~pd0_0(Y,X)))|(?[Y0,Y1]: ~pd0_1(Y1,Y0,X)))|(?[Y0,Y1]: ((rtt(X,Y0)&rtt(X,Y1))&~Y0=Y1)))))),
% 0.16/0.32 inference(miniscoping,[status(esa)],[f58])).
% 0.16/0.32 fof(f60,plain,(
% 0.16/0.32 (![X]: (~cUnsatisfiable(X)|((((((((rtt(X,sk0_2(X))&rtt(X,sk0_0(X)))&rtt(X,sk0_1(X)))&~sk0_2(X)=sk0_0(X))&~sk0_2(X)=sk0_1(X))&~sk0_0(X)=sk0_1(X))&(![Y]: pd0_0(Y,X)))&(![Y0,Y1]: pd0_1(Y1,Y0,X)))&(![Y0,Y1]: ((~rtt(X,Y0)|~rtt(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|((((![Y1,Y2]: ((![Y0]: ((((~rtt(X,Y0)|~rtt(X,Y1))|~rtt(X,Y2))|Y0=Y1)|Y0=Y2))|Y1=Y2))|~pd0_0(sk0_3(X),X))|~pd0_1(sk0_5(X),sk0_4(X),X))|((rtt(X,sk0_6(X))&rtt(X,sk0_7(X)))&~sk0_6(X)=sk0_7(X)))))),
% 0.16/0.32 inference(skolemization,[status(esa)],[f59])).
% 0.16/0.32 fof(f61,plain,(
% 0.16/0.32 ![X0]: (~cUnsatisfiable(X0)|rtt(X0,sk0_2(X0)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f60])).
% 0.16/0.32 fof(f63,plain,(
% 0.16/0.32 ![X0]: (~cUnsatisfiable(X0)|rtt(X0,sk0_1(X0)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f60])).
% 0.16/0.32 fof(f65,plain,(
% 0.16/0.32 ![X0]: (~cUnsatisfiable(X0)|~sk0_2(X0)=sk0_1(X0))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f60])).
% 0.16/0.32 fof(f69,plain,(
% 0.16/0.32 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rtt(X0,X1)|~rtt(X0,X2)|X1=X2)),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f60])).
% 0.16/0.32 fof(f77,plain,(
% 0.16/0.32 cUnsatisfiable(i2003_11_14_17_20_29215)),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.32 fof(f91,plain,(
% 0.16/0.32 spl0_0 <=> cUnsatisfiable(i2003_11_14_17_20_29215)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f93,plain,(
% 0.16/0.32 ~cUnsatisfiable(i2003_11_14_17_20_29215)|spl0_0),
% 0.16/0.32 inference(component_clause,[status(thm)],[f91])).
% 0.16/0.32 fof(f116,plain,(
% 0.16/0.32 ~sk0_2(i2003_11_14_17_20_29215)=sk0_1(i2003_11_14_17_20_29215)),
% 0.16/0.32 inference(resolution,[status(thm)],[f65,f77])).
% 0.16/0.32 fof(f122,plain,(
% 0.16/0.32 ![X0,X1]: (~rtt(i2003_11_14_17_20_29215,X0)|~rtt(i2003_11_14_17_20_29215,X1)|X0=X1)),
% 0.16/0.32 inference(resolution,[status(thm)],[f69,f77])).
% 0.16/0.32 fof(f147,plain,(
% 0.16/0.32 spl0_11 <=> ~rtt(i2003_11_14_17_20_29215,X0)|X0=sk0_2(i2003_11_14_17_20_29215)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f148,plain,(
% 0.16/0.32 ![X0]: (~rtt(i2003_11_14_17_20_29215,X0)|X0=sk0_2(i2003_11_14_17_20_29215)|~spl0_11)),
% 0.16/0.32 inference(component_clause,[status(thm)],[f147])).
% 0.16/0.32 fof(f150,plain,(
% 0.16/0.32 ![X0]: (~rtt(i2003_11_14_17_20_29215,X0)|X0=sk0_2(i2003_11_14_17_20_29215)|~cUnsatisfiable(i2003_11_14_17_20_29215))),
% 0.16/0.32 inference(resolution,[status(thm)],[f122,f61])).
% 0.16/0.32 fof(f151,plain,(
% 0.16/0.32 spl0_11|~spl0_0),
% 0.16/0.32 inference(split_clause,[status(thm)],[f150,f147,f91])).
% 0.16/0.32 fof(f170,plain,(
% 0.16/0.32 spl0_14 <=> sk0_1(i2003_11_14_17_20_29215)=sk0_2(i2003_11_14_17_20_29215)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f171,plain,(
% 0.16/0.32 sk0_1(i2003_11_14_17_20_29215)=sk0_2(i2003_11_14_17_20_29215)|~spl0_14),
% 0.16/0.32 inference(component_clause,[status(thm)],[f170])).
% 0.16/0.32 fof(f173,plain,(
% 0.16/0.32 sk0_1(i2003_11_14_17_20_29215)=sk0_2(i2003_11_14_17_20_29215)|~cUnsatisfiable(i2003_11_14_17_20_29215)|~spl0_11),
% 0.16/0.32 inference(resolution,[status(thm)],[f148,f63])).
% 0.16/0.32 fof(f174,plain,(
% 0.16/0.32 spl0_14|~spl0_0|~spl0_11),
% 0.16/0.32 inference(split_clause,[status(thm)],[f173,f170,f91,f147])).
% 0.16/0.32 fof(f187,plain,(
% 0.16/0.32 $false|spl0_0),
% 0.16/0.32 inference(forward_subsumption_resolution,[status(thm)],[f93,f77])).
% 0.16/0.32 fof(f188,plain,(
% 0.16/0.32 spl0_0),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f187])).
% 0.16/0.32 fof(f189,plain,(
% 0.16/0.32 $false|~spl0_14),
% 0.16/0.32 inference(forward_subsumption_resolution,[status(thm)],[f171,f116])).
% 0.16/0.32 fof(f190,plain,(
% 0.16/0.32 ~spl0_14),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f189])).
% 0.16/0.32 fof(f191,plain,(
% 0.16/0.32 $false),
% 0.16/0.32 inference(sat_refutation,[status(thm)],[f151,f174,f188,f190])).
% 0.16/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.34 % Elapsed time: 0.013340 seconds
% 0.16/0.34 % CPU time: 0.026177 seconds
% 0.16/0.34 % Total memory used: 971.344 KB
% 0.16/0.34 % Net memory used: 954.688 KB
%------------------------------------------------------------------------------