TSTP Solution File: KRS124+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS124+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS124+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:21:51 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.12/0.34 % Refutation found
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.34 fof(f1,axiom,(
% 0.12/0.34 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.12/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.34 fof(f3,axiom,(
% 0.12/0.34 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& cowlThing(Y) ))& (! [Y] :( rr(X,Y)=> ca_Ax3(Y) ) )) ) )),
% 0.12/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.34 fof(f4,axiom,(
% 0.12/0.34 (! [X] :( cc(X)=> cdxcomp(X) ) )),
% 0.12/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.34 fof(f7,axiom,(
% 0.12/0.34 (! [X] :( cd(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.12/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.34 fof(f8,axiom,(
% 0.12/0.34 (! [X] :( cdxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.12/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.34 fof(f13,axiom,(
% 0.12/0.34 (! [X] :( ca_Ax3(X)<=> ( cd(X)& cc(X) ) ) )),
% 0.12/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.34 fof(f14,axiom,(
% 0.12/0.34 cUnsatisfiable(i2003_11_14_17_22_10903) ),
% 0.12/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.34 fof(f15,plain,(
% 0.12/0.34 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.12/0.34 inference(miniscoping,[status(esa)],[f1])).
% 0.12/0.34 fof(f16,plain,(
% 0.12/0.34 ![X0]: (cowlThing(X0))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f15])).
% 0.12/0.34 fof(f22,plain,(
% 0.12/0.34 ![X]: (cUnsatisfiable(X)<=>((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|ca_Ax3(Y)))))),
% 0.12/0.34 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.12/0.34 fof(f23,plain,(
% 0.12/0.34 ![X]: ((~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|ca_Ax3(Y)))))&(cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(?[Y]: (rr(X,Y)&~ca_Ax3(Y))))))),
% 0.12/0.34 inference(NNF_transformation,[status(esa)],[f22])).
% 0.12/0.34 fof(f24,plain,(
% 0.12/0.34 (![X]: (~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|ca_Ax3(Y))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(?[Y]: (rr(X,Y)&~ca_Ax3(Y))))))),
% 0.12/0.34 inference(miniscoping,[status(esa)],[f23])).
% 0.12/0.34 fof(f25,plain,(
% 0.12/0.34 (![X]: (~cUnsatisfiable(X)|((rr(X,sk0_0(X))&cowlThing(sk0_0(X)))&(![Y]: (~rr(X,Y)|ca_Ax3(Y))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(rr(X,sk0_1(X))&~ca_Ax3(sk0_1(X))))))),
% 0.12/0.34 inference(skolemization,[status(esa)],[f24])).
% 0.12/0.34 fof(f26,plain,(
% 0.12/0.34 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sk0_0(X0)))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.34 fof(f28,plain,(
% 0.12/0.34 ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|ca_Ax3(X1))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.34 fof(f29,plain,(
% 0.12/0.34 ![X0,X1]: (cUnsatisfiable(X0)|~rr(X0,X1)|~cowlThing(X1)|rr(X0,sk0_1(X0)))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.34 fof(f30,plain,(
% 0.12/0.34 ![X0,X1]: (cUnsatisfiable(X0)|~rr(X0,X1)|~cowlThing(X1)|~ca_Ax3(sk0_1(X0)))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.34 fof(f31,plain,(
% 0.12/0.34 ![X]: (~cc(X)|cdxcomp(X))),
% 0.12/0.34 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.12/0.34 fof(f32,plain,(
% 0.12/0.34 ![X0]: (~cc(X0)|cdxcomp(X0))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f31])).
% 0.12/0.34 fof(f37,plain,(
% 0.12/0.34 ![X]: (cd(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.12/0.34 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.12/0.34 fof(f38,plain,(
% 0.12/0.34 ![X]: ((~cd(X)|(![Y]: ~ra_Px1(X,Y)))&(cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.12/0.34 inference(NNF_transformation,[status(esa)],[f37])).
% 0.12/0.34 fof(f39,plain,(
% 0.12/0.34 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.12/0.34 inference(miniscoping,[status(esa)],[f38])).
% 0.12/0.34 fof(f40,plain,(
% 0.12/0.34 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|ra_Px1(X,sk0_2(X))))),
% 0.12/0.34 inference(skolemization,[status(esa)],[f39])).
% 0.12/0.34 fof(f41,plain,(
% 0.12/0.34 ![X0,X1]: (~cd(X0)|~ra_Px1(X0,X1))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f40])).
% 0.12/0.34 fof(f43,plain,(
% 0.12/0.34 ![X]: ((~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.34 inference(NNF_transformation,[status(esa)],[f8])).
% 0.12/0.34 fof(f44,plain,(
% 0.12/0.34 (![X]: (~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.34 inference(miniscoping,[status(esa)],[f43])).
% 0.12/0.34 fof(f45,plain,(
% 0.12/0.34 (![X]: (~cdxcomp(X)|ra_Px1(X,sk0_3(X))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.12/0.34 inference(skolemization,[status(esa)],[f44])).
% 0.12/0.34 fof(f46,plain,(
% 0.12/0.34 ![X0]: (~cdxcomp(X0)|ra_Px1(X0,sk0_3(X0)))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f45])).
% 0.12/0.34 fof(f63,plain,(
% 0.12/0.34 ![X]: ((~ca_Ax3(X)|(cd(X)&cc(X)))&(ca_Ax3(X)|(~cd(X)|~cc(X))))),
% 0.12/0.34 inference(NNF_transformation,[status(esa)],[f13])).
% 0.12/0.34 fof(f64,plain,(
% 0.12/0.34 (![X]: (~ca_Ax3(X)|(cd(X)&cc(X))))&(![X]: (ca_Ax3(X)|(~cd(X)|~cc(X))))),
% 0.12/0.34 inference(miniscoping,[status(esa)],[f63])).
% 0.12/0.34 fof(f65,plain,(
% 0.12/0.34 ![X0]: (~ca_Ax3(X0)|cd(X0))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f64])).
% 0.12/0.34 fof(f66,plain,(
% 0.12/0.34 ![X0]: (~ca_Ax3(X0)|cc(X0))),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f64])).
% 0.12/0.34 fof(f68,plain,(
% 0.12/0.34 cUnsatisfiable(i2003_11_14_17_22_10903)),
% 0.12/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.12/0.34 fof(f69,plain,(
% 0.12/0.34 ![X0,X1]: (cUnsatisfiable(X0)|~rr(X0,X1)|rr(X0,sk0_1(X0)))),
% 0.12/0.34 inference(forward_subsumption_resolution,[status(thm)],[f29,f16])).
% 0.12/0.34 fof(f70,plain,(
% 0.12/0.34 ![X0,X1]: (~ra_Px1(X0,X1)|~ca_Ax3(X0))),
% 0.12/0.34 inference(resolution,[status(thm)],[f41,f65])).
% 0.12/0.34 fof(f75,plain,(
% 0.12/0.34 ![X0]: (~rr(i2003_11_14_17_22_10903,X0)|ca_Ax3(X0))),
% 0.12/0.34 inference(resolution,[status(thm)],[f28,f68])).
% 0.12/0.34 fof(f76,plain,(
% 0.12/0.34 spl0_0 <=> ca_Ax3(sk0_1(i2003_11_14_17_22_10903))),
% 0.12/0.34 introduced(split_symbol_definition)).
% 0.12/0.34 fof(f77,plain,(
% 0.12/0.34 ca_Ax3(sk0_1(i2003_11_14_17_22_10903))|~spl0_0),
% 0.12/0.34 inference(component_clause,[status(thm)],[f76])).
% 0.12/0.34 fof(f79,plain,(
% 0.12/0.34 spl0_1 <=> cUnsatisfiable(i2003_11_14_17_22_10903)),
% 0.12/0.34 introduced(split_symbol_definition)).
% 0.12/0.34 fof(f82,plain,(
% 0.12/0.34 spl0_2 <=> ~rr(i2003_11_14_17_22_10903,X0)),
% 0.12/0.34 introduced(split_symbol_definition)).
% 0.12/0.34 fof(f83,plain,(
% 0.12/0.34 ![X0]: (~rr(i2003_11_14_17_22_10903,X0)|~spl0_2)),
% 0.12/0.34 inference(component_clause,[status(thm)],[f82])).
% 0.12/0.34 fof(f85,plain,(
% 0.12/0.34 ![X0]: (ca_Ax3(sk0_1(i2003_11_14_17_22_10903))|cUnsatisfiable(i2003_11_14_17_22_10903)|~rr(i2003_11_14_17_22_10903,X0))),
% 0.12/0.34 inference(resolution,[status(thm)],[f75,f69])).
% 0.12/0.34 fof(f86,plain,(
% 0.12/0.34 spl0_0|spl0_1|spl0_2),
% 0.12/0.34 inference(split_clause,[status(thm)],[f85,f76,f79,f82])).
% 0.12/0.34 fof(f87,plain,(
% 0.12/0.34 spl0_3 <=> ca_Ax3(sk0_0(i2003_11_14_17_22_10903))),
% 0.12/0.34 introduced(split_symbol_definition)).
% 0.12/0.34 fof(f88,plain,(
% 0.12/0.34 ca_Ax3(sk0_0(i2003_11_14_17_22_10903))|~spl0_3),
% 0.12/0.34 inference(component_clause,[status(thm)],[f87])).
% 0.12/0.34 fof(f90,plain,(
% 0.12/0.34 ca_Ax3(sk0_0(i2003_11_14_17_22_10903))|~cUnsatisfiable(i2003_11_14_17_22_10903)),
% 0.12/0.34 inference(resolution,[status(thm)],[f75,f26])).
% 0.12/0.34 fof(f91,plain,(
% 0.12/0.34 spl0_3|~spl0_1),
% 0.12/0.34 inference(split_clause,[status(thm)],[f90,f87,f79])).
% 0.12/0.34 fof(f92,plain,(
% 0.12/0.34 ![X0,X1]: (cUnsatisfiable(X0)|~rr(X0,X1)|~ca_Ax3(sk0_1(X0)))),
% 0.12/0.34 inference(forward_subsumption_resolution,[status(thm)],[f30,f16])).
% 0.12/0.34 fof(f95,plain,(
% 0.12/0.34 ~cUnsatisfiable(i2003_11_14_17_22_10903)|~spl0_2),
% 0.12/0.34 inference(resolution,[status(thm)],[f83,f26])).
% 0.12/0.34 fof(f96,plain,(
% 0.12/0.34 $false|~spl0_2),
% 0.12/0.34 inference(forward_subsumption_resolution,[status(thm)],[f95,f68])).
% 0.12/0.34 fof(f97,plain,(
% 0.12/0.34 ~spl0_2),
% 0.12/0.34 inference(contradiction_clause,[status(thm)],[f96])).
% 0.12/0.34 fof(f102,plain,(
% 0.12/0.34 ![X0]: (~ra_Px1(sk0_0(i2003_11_14_17_22_10903),X0)|~spl0_3)),
% 0.12/0.34 inference(resolution,[status(thm)],[f88,f70])).
% 0.12/0.34 fof(f103,plain,(
% 0.12/0.34 ![X0]: (cUnsatisfiable(i2003_11_14_17_22_10903)|~rr(i2003_11_14_17_22_10903,X0)|~spl0_0)),
% 0.12/0.34 inference(resolution,[status(thm)],[f77,f92])).
% 0.12/0.34 fof(f104,plain,(
% 0.12/0.34 spl0_1|spl0_2|~spl0_0),
% 0.12/0.34 inference(split_clause,[status(thm)],[f103,f79,f82,f76])).
% 0.12/0.34 fof(f106,plain,(
% 0.12/0.34 ~cdxcomp(sk0_0(i2003_11_14_17_22_10903))|~spl0_3),
% 0.12/0.34 inference(resolution,[status(thm)],[f102,f46])).
% 0.12/0.34 fof(f108,plain,(
% 0.12/0.34 ~cc(sk0_0(i2003_11_14_17_22_10903))|~spl0_3),
% 0.12/0.34 inference(resolution,[status(thm)],[f106,f32])).
% 0.12/0.34 fof(f110,plain,(
% 0.12/0.34 ~ca_Ax3(sk0_0(i2003_11_14_17_22_10903))|~spl0_3),
% 0.12/0.34 inference(resolution,[status(thm)],[f108,f66])).
% 0.12/0.34 fof(f111,plain,(
% 0.12/0.34 $false|~spl0_3),
% 0.12/0.34 inference(forward_subsumption_resolution,[status(thm)],[f110,f88])).
% 0.12/0.34 fof(f112,plain,(
% 0.12/0.34 ~spl0_3),
% 0.12/0.34 inference(contradiction_clause,[status(thm)],[f111])).
% 0.12/0.34 fof(f113,plain,(
% 0.12/0.34 $false),
% 0.12/0.34 inference(sat_refutation,[status(thm)],[f86,f91,f97,f104,f112])).
% 0.12/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.35 % Elapsed time: 0.010976 seconds
% 0.12/0.35 % CPU time: 0.020768 seconds
% 0.12/0.35 % Total memory used: 527.168 KB
% 0.12/0.35 % Net memory used: 511.904 KB
%------------------------------------------------------------------------------