TSTP Solution File: KRS127+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS127+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:24:50 EDT 2024
% Result : Unsatisfiable 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : KRS127+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 22:55:03 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.27 fof(f15,axiom,(
% 0.07/0.27 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& cc(Y) ))& (? [Y] :( rr(X,Y)& cd(Y) ))& (! [Y0,Y1] :( ( rr(X,Y0)& rr(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.07/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f16,axiom,(
% 0.07/0.27 (! [X] :( cc(X)=> cdxcomp(X) ) )),
% 0.07/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f17,axiom,(
% 0.07/0.27 (! [X] :( cd(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.07/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f18,axiom,(
% 0.07/0.27 (! [X] :( cdxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.07/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f19,axiom,(
% 0.07/0.27 cUnsatisfiable(i2003_11_14_17_22_27794) ),
% 0.07/0.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.27 fof(f63,plain,(
% 0.07/0.27 ![X]: (cUnsatisfiable(X)<=>(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))))),
% 0.07/0.27 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.07/0.27 fof(f64,plain,(
% 0.07/0.27 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))))&(cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))))),
% 0.07/0.27 inference(NNF_transformation,[status(esa)],[f63])).
% 0.07/0.27 fof(f65,plain,(
% 0.07/0.27 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))))),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f64])).
% 0.07/0.27 fof(f66,plain,(
% 0.07/0.27 (![X]: (~cUnsatisfiable(X)|(((rr(X,sk0_0(X))&cc(sk0_0(X)))&(rr(X,sk0_1(X))&cd(sk0_1(X))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|((rr(X,sk0_2(X))&rr(X,sk0_3(X)))&~sk0_2(X)=sk0_3(X)))))),
% 0.07/0.27 inference(skolemization,[status(esa)],[f65])).
% 0.07/0.27 fof(f67,plain,(
% 0.07/0.27 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sk0_0(X0)))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f66])).
% 0.07/0.27 fof(f68,plain,(
% 0.07/0.27 ![X0]: (~cUnsatisfiable(X0)|cc(sk0_0(X0)))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f66])).
% 0.07/0.27 fof(f69,plain,(
% 0.07/0.27 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sk0_1(X0)))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f66])).
% 0.07/0.27 fof(f70,plain,(
% 0.07/0.27 ![X0]: (~cUnsatisfiable(X0)|cd(sk0_1(X0)))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f66])).
% 0.07/0.27 fof(f71,plain,(
% 0.07/0.27 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(X0,X1)|~rr(X0,X2)|X1=X2)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f66])).
% 0.07/0.27 fof(f75,plain,(
% 0.07/0.27 ![X]: (~cc(X)|cdxcomp(X))),
% 0.07/0.27 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.07/0.27 fof(f76,plain,(
% 0.07/0.27 ![X0]: (~cc(X0)|cdxcomp(X0))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f75])).
% 0.07/0.27 fof(f77,plain,(
% 0.07/0.27 ![X]: (cd(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.07/0.27 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.07/0.27 fof(f78,plain,(
% 0.07/0.27 ![X]: ((~cd(X)|(![Y]: ~ra_Px1(X,Y)))&(cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.07/0.27 inference(NNF_transformation,[status(esa)],[f77])).
% 0.07/0.27 fof(f79,plain,(
% 0.07/0.27 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f78])).
% 0.07/0.27 fof(f80,plain,(
% 0.07/0.27 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|ra_Px1(X,sk0_4(X))))),
% 0.07/0.27 inference(skolemization,[status(esa)],[f79])).
% 0.07/0.27 fof(f81,plain,(
% 0.07/0.27 ![X0,X1]: (~cd(X0)|~ra_Px1(X0,X1))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f80])).
% 0.07/0.27 fof(f83,plain,(
% 0.07/0.27 ![X]: ((~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.07/0.27 inference(NNF_transformation,[status(esa)],[f18])).
% 0.07/0.27 fof(f84,plain,(
% 0.07/0.27 (![X]: (~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.07/0.27 inference(miniscoping,[status(esa)],[f83])).
% 0.07/0.27 fof(f85,plain,(
% 0.07/0.27 (![X]: (~cdxcomp(X)|ra_Px1(X,sk0_5(X))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.07/0.27 inference(skolemization,[status(esa)],[f84])).
% 0.07/0.27 fof(f86,plain,(
% 0.07/0.27 ![X0]: (~cdxcomp(X0)|ra_Px1(X0,sk0_5(X0)))),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f85])).
% 0.07/0.27 fof(f88,plain,(
% 0.07/0.27 cUnsatisfiable(i2003_11_14_17_22_27794)),
% 0.07/0.27 inference(cnf_transformation,[status(esa)],[f19])).
% 0.07/0.27 fof(f89,plain,(
% 0.07/0.27 rr(i2003_11_14_17_22_27794,sk0_0(i2003_11_14_17_22_27794))),
% 0.07/0.27 inference(resolution,[status(thm)],[f67,f88])).
% 0.07/0.27 fof(f90,plain,(
% 0.07/0.27 cc(sk0_0(i2003_11_14_17_22_27794))),
% 0.07/0.27 inference(resolution,[status(thm)],[f68,f88])).
% 0.07/0.27 fof(f91,plain,(
% 0.07/0.27 cdxcomp(sk0_0(i2003_11_14_17_22_27794))),
% 0.07/0.27 inference(resolution,[status(thm)],[f90,f76])).
% 0.07/0.27 fof(f93,plain,(
% 0.07/0.27 cd(sk0_1(i2003_11_14_17_22_27794))),
% 0.07/0.27 inference(resolution,[status(thm)],[f70,f88])).
% 0.07/0.27 fof(f94,plain,(
% 0.07/0.27 spl0_0 <=> cUnsatisfiable(i2003_11_14_17_22_27794)),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f96,plain,(
% 0.07/0.27 ~cUnsatisfiable(i2003_11_14_17_22_27794)|spl0_0),
% 0.07/0.27 inference(component_clause,[status(thm)],[f94])).
% 0.07/0.27 fof(f115,plain,(
% 0.07/0.27 rr(i2003_11_14_17_22_27794,sk0_1(i2003_11_14_17_22_27794))),
% 0.07/0.27 inference(resolution,[status(thm)],[f69,f88])).
% 0.07/0.27 fof(f123,plain,(
% 0.07/0.27 ra_Px1(sk0_0(i2003_11_14_17_22_27794),sk0_5(sk0_0(i2003_11_14_17_22_27794)))),
% 0.07/0.27 inference(resolution,[status(thm)],[f86,f91])).
% 0.07/0.27 fof(f127,plain,(
% 0.07/0.27 ~cd(sk0_0(i2003_11_14_17_22_27794))),
% 0.07/0.27 inference(resolution,[status(thm)],[f123,f81])).
% 0.07/0.27 fof(f128,plain,(
% 0.07/0.27 spl0_6 <=> ~rr(i2003_11_14_17_22_27794,X0)|sk0_1(i2003_11_14_17_22_27794)=X0),
% 0.07/0.27 introduced(split_symbol_definition)).
% 0.07/0.27 fof(f129,plain,(
% 0.07/0.27 ![X0]: (~rr(i2003_11_14_17_22_27794,X0)|sk0_1(i2003_11_14_17_22_27794)=X0|~spl0_6)),
% 0.07/0.27 inference(component_clause,[status(thm)],[f128])).
% 0.07/0.27 fof(f131,plain,(
% 0.07/0.27 ![X0]: (~cUnsatisfiable(i2003_11_14_17_22_27794)|~rr(i2003_11_14_17_22_27794,X0)|sk0_1(i2003_11_14_17_22_27794)=X0)),
% 0.07/0.27 inference(resolution,[status(thm)],[f71,f115])).
% 0.07/0.27 fof(f132,plain,(
% 0.07/0.27 ~spl0_0|spl0_6),
% 0.07/0.27 inference(split_clause,[status(thm)],[f131,f94,f128])).
% 0.07/0.27 fof(f138,plain,(
% 0.07/0.27 $false|spl0_0),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f96,f88])).
% 0.07/0.27 fof(f139,plain,(
% 0.07/0.27 spl0_0),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f138])).
% 0.07/0.27 fof(f147,plain,(
% 0.07/0.27 sk0_1(i2003_11_14_17_22_27794)=sk0_0(i2003_11_14_17_22_27794)|~spl0_6),
% 0.07/0.27 inference(resolution,[status(thm)],[f129,f89])).
% 0.07/0.27 fof(f150,plain,(
% 0.07/0.27 cd(sk0_0(i2003_11_14_17_22_27794))|~spl0_6),
% 0.07/0.27 inference(backward_demodulation,[status(thm)],[f147,f93])).
% 0.07/0.27 fof(f151,plain,(
% 0.07/0.27 $false|~spl0_6),
% 0.07/0.27 inference(forward_subsumption_resolution,[status(thm)],[f150,f127])).
% 0.07/0.27 fof(f152,plain,(
% 0.07/0.27 ~spl0_6),
% 0.07/0.27 inference(contradiction_clause,[status(thm)],[f151])).
% 0.07/0.27 fof(f153,plain,(
% 0.07/0.27 $false),
% 0.07/0.27 inference(sat_refutation,[status(thm)],[f132,f139,f152])).
% 0.07/0.27 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.28 % Elapsed time: 0.009157 seconds
% 0.07/0.28 % CPU time: 0.018078 seconds
% 0.07/0.28 % Total memory used: 775.568 KB
% 0.07/0.28 % Net memory used: 718.080 KB
%------------------------------------------------------------------------------