%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:00:16 PM UTC 2026
% Result : Unsatisfiable 0.11s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n010.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 22:53:47 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 % Drodi V4.1.1
% 0.11/5.40 % Refutation found
% 0.11/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/5.40 fof(f3,axiom,(
% 0.11/5.40 (! [X] :( cUnsatisfiable(X)<=> ~ (? [Y] : ra_Px5(X,Y) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f4,axiom,(
% 0.11/5.40 (! [X] :( cUnsatisfiablexcomp(X)<=> ( ca_Cx7(X)& ca_Cx8(X)& ca_Cx6(X) ) ) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f5,axiom,(
% 0.11/5.40 (! [X] :( cUnsatisfiablexcomp(X)<=> (? [Y0] : ra_Px5(X,Y0) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f6,axiom,(
% 0.11/5.40 (! [X] :( ca(X)=> ca_Cx1(X) ) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f7,axiom,(
% 0.11/5.40 (! [X] :( cb(X)<=> (? [Y0] : ra_Px3(X,Y0) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f8,axiom,(
% 0.11/5.40 (! [X] :( cb(X)=> ccxcomp(X) ) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f9,axiom,(
% 0.11/5.40 (! [X] :( cbxcomp(X)<=> ~ (? [Y] : ra_Px3(X,Y) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f10,axiom,(
% 0.11/5.40 (! [X] :( cc(X)<=> (? [Y0] : ra_Px2(X,Y0) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f11,axiom,(
% 0.11/5.40 (! [X] :( ccxcomp(X)<=> ~ (? [Y] : ra_Px2(X,Y) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f12,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx1(X)<=> ( cbxcomp(X)& ccxcomp(X) ) ) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f15,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx6(X)<=> ~ (? [Y] : ra_Px6(X,Y) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f16,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx6xcomp(X)<=> ( ca(X)& cb(X) ) ) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f17,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx6xcomp(X)<=> (? [Y0] : ra_Px6(X,Y0) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f18,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx7(X)<=> (? [Y0] : ra_Px7(X,Y0) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f19,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx7xcomp(X)<=> ( cc(X)& ca(X) ) ) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f20,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx7xcomp(X)<=> ~ (? [Y] : ra_Px7(X,Y) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f21,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx8(X)<=> ~ (? [Y] : ra_Px8(X,Y) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f22,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx8xcomp(X)<=> (? [Y0] : ra_Px8(X,Y0) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f23,axiom,(
% 0.11/5.40 (! [X] :( ca_Cx8xcomp(X)<=> ( cc(X)& cb(X) ) ) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f24,axiom,(
% 0.11/5.40 cUnsatisfiable(i2003_11_14_17_20_50869) ),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f32,plain,(
% 0.11/5.40 ![X]: (cUnsatisfiable(X)<=>(![Y]: ~ra_Px5(X,Y)))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.11/5.40 fof(f33,plain,(
% 0.11/5.40 ![X]: ((~cUnsatisfiable(X)|(![Y]: ~ra_Px5(X,Y)))&(cUnsatisfiable(X)|(?[Y]: ra_Px5(X,Y))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f32])).
% 0.11/5.40 fof(f34,plain,(
% 0.11/5.40 (![X]: (~cUnsatisfiable(X)|(![Y]: ~ra_Px5(X,Y))))&(![X]: (cUnsatisfiable(X)|(?[Y]: ra_Px5(X,Y))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f33])).
% 0.11/5.40 fof(f35,plain,(
% 0.11/5.40 (![X]: (~cUnsatisfiable(X)|(![Y]: ~ra_Px5(X,Y))))&(![X]: (cUnsatisfiable(X)|ra_Px5(X,sK0_skl(X))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f34])).
% 0.11/5.40 fof(f36,plain,(
% 0.11/5.40 ![X0,X1]: (~cUnsatisfiable(X0)|~ra_Px5(X0,X1))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.11/5.40 fof(f38,plain,(
% 0.11/5.40 ![X]: ((~cUnsatisfiablexcomp(X)|((ca_Cx7(X)&ca_Cx8(X))&ca_Cx6(X)))&(cUnsatisfiablexcomp(X)|((~ca_Cx7(X)|~ca_Cx8(X))|~ca_Cx6(X))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f4])).
% 0.11/5.40 fof(f39,plain,(
% 0.11/5.40 (![X]: (~cUnsatisfiablexcomp(X)|((ca_Cx7(X)&ca_Cx8(X))&ca_Cx6(X))))&(![X]: (cUnsatisfiablexcomp(X)|((~ca_Cx7(X)|~ca_Cx8(X))|~ca_Cx6(X))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f38])).
% 0.11/5.40 fof(f43,plain,(
% 0.11/5.40 ![X0]: (cUnsatisfiablexcomp(X0)|~ca_Cx7(X0)|~ca_Cx8(X0)|~ca_Cx6(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.11/5.40 fof(f44,plain,(
% 0.11/5.40 ![X]: ((~cUnsatisfiablexcomp(X)|(?[Y0]: ra_Px5(X,Y0)))&(cUnsatisfiablexcomp(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f5])).
% 0.11/5.40 fof(f45,plain,(
% 0.11/5.40 (![X]: (~cUnsatisfiablexcomp(X)|(?[Y0]: ra_Px5(X,Y0))))&(![X]: (cUnsatisfiablexcomp(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f44])).
% 0.11/5.40 fof(f46,plain,(
% 0.11/5.40 (![X]: (~cUnsatisfiablexcomp(X)|ra_Px5(X,sK1_skl(X))))&(![X]: (cUnsatisfiablexcomp(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y0,sK1_skl(X))],[f45])).
% 0.11/5.40 fof(f47,plain,(
% 0.11/5.40 ![X0]: (~cUnsatisfiablexcomp(X0)|ra_Px5(X0,sK1_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f46])).
% 0.11/5.40 fof(f49,plain,(
% 0.11/5.40 ![X]: (~ca(X)|ca_Cx1(X))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.11/5.40 fof(f50,plain,(
% 0.11/5.40 ![X0]: (~ca(X0)|ca_Cx1(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.11/5.40 fof(f51,plain,(
% 0.11/5.40 ![X]: ((~cb(X)|(?[Y0]: ra_Px3(X,Y0)))&(cb(X)|(![Y0]: ~ra_Px3(X,Y0))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f7])).
% 0.11/5.40 fof(f52,plain,(
% 0.11/5.40 (![X]: (~cb(X)|(?[Y0]: ra_Px3(X,Y0))))&(![X]: (cb(X)|(![Y0]: ~ra_Px3(X,Y0))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f51])).
% 0.11/5.40 fof(f53,plain,(
% 0.11/5.40 (![X]: (~cb(X)|ra_Px3(X,sK2_skl(X))))&(![X]: (cb(X)|(![Y0]: ~ra_Px3(X,Y0))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y0,sK2_skl(X))],[f52])).
% 0.11/5.40 fof(f54,plain,(
% 0.11/5.40 ![X0]: (~cb(X0)|ra_Px3(X0,sK2_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f53])).
% 0.11/5.40 fof(f56,plain,(
% 0.11/5.40 ![X]: (~cb(X)|ccxcomp(X))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.11/5.40 fof(f57,plain,(
% 0.11/5.40 ![X0]: (~cb(X0)|ccxcomp(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f56])).
% 0.11/5.40 fof(f58,plain,(
% 0.11/5.40 ![X]: (cbxcomp(X)<=>(![Y]: ~ra_Px3(X,Y)))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.11/5.40 fof(f59,plain,(
% 0.11/5.40 ![X]: ((~cbxcomp(X)|(![Y]: ~ra_Px3(X,Y)))&(cbxcomp(X)|(?[Y]: ra_Px3(X,Y))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f58])).
% 0.11/5.40 fof(f60,plain,(
% 0.11/5.40 (![X]: (~cbxcomp(X)|(![Y]: ~ra_Px3(X,Y))))&(![X]: (cbxcomp(X)|(?[Y]: ra_Px3(X,Y))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f59])).
% 0.11/5.40 fof(f61,plain,(
% 0.11/5.40 (![X]: (~cbxcomp(X)|(![Y]: ~ra_Px3(X,Y))))&(![X]: (cbxcomp(X)|ra_Px3(X,sK3_skl(X))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f60])).
% 0.11/5.40 fof(f62,plain,(
% 0.11/5.40 ![X0,X1]: (~cbxcomp(X0)|~ra_Px3(X0,X1))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f61])).
% 0.11/5.40 fof(f64,plain,(
% 0.11/5.40 ![X]: ((~cc(X)|(?[Y0]: ra_Px2(X,Y0)))&(cc(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f10])).
% 0.11/5.40 fof(f65,plain,(
% 0.11/5.40 (![X]: (~cc(X)|(?[Y0]: ra_Px2(X,Y0))))&(![X]: (cc(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f64])).
% 0.11/5.40 fof(f66,plain,(
% 0.11/5.40 (![X]: (~cc(X)|ra_Px2(X,sK4_skl(X))))&(![X]: (cc(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y0,sK4_skl(X))],[f65])).
% 0.11/5.40 fof(f67,plain,(
% 0.11/5.40 ![X0]: (~cc(X0)|ra_Px2(X0,sK4_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/5.40 fof(f69,plain,(
% 0.11/5.40 ![X]: (ccxcomp(X)<=>(![Y]: ~ra_Px2(X,Y)))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.11/5.40 fof(f70,plain,(
% 0.11/5.40 ![X]: ((~ccxcomp(X)|(![Y]: ~ra_Px2(X,Y)))&(ccxcomp(X)|(?[Y]: ra_Px2(X,Y))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f69])).
% 0.11/5.40 fof(f71,plain,(
% 0.11/5.40 (![X]: (~ccxcomp(X)|(![Y]: ~ra_Px2(X,Y))))&(![X]: (ccxcomp(X)|(?[Y]: ra_Px2(X,Y))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f70])).
% 0.11/5.40 fof(f72,plain,(
% 0.11/5.40 (![X]: (~ccxcomp(X)|(![Y]: ~ra_Px2(X,Y))))&(![X]: (ccxcomp(X)|ra_Px2(X,sK5_skl(X))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f71])).
% 0.11/5.40 fof(f73,plain,(
% 0.11/5.40 ![X0,X1]: (~ccxcomp(X0)|~ra_Px2(X0,X1))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f72])).
% 0.11/5.40 fof(f75,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx1(X)|(cbxcomp(X)&ccxcomp(X)))&(ca_Cx1(X)|(~cbxcomp(X)|~ccxcomp(X))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f12])).
% 0.11/5.40 fof(f76,plain,(
% 0.11/5.40 (![X]: (~ca_Cx1(X)|(cbxcomp(X)&ccxcomp(X))))&(![X]: (ca_Cx1(X)|(~cbxcomp(X)|~ccxcomp(X))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f75])).
% 0.11/5.40 fof(f77,plain,(
% 0.11/5.40 ![X0]: (~ca_Cx1(X0)|cbxcomp(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/5.40 fof(f78,plain,(
% 0.11/5.40 ![X0]: (~ca_Cx1(X0)|ccxcomp(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/5.40 fof(f91,plain,(
% 0.11/5.40 ![X]: (ca_Cx6(X)<=>(![Y]: ~ra_Px6(X,Y)))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.11/5.40 fof(f92,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx6(X)|(![Y]: ~ra_Px6(X,Y)))&(ca_Cx6(X)|(?[Y]: ra_Px6(X,Y))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f91])).
% 0.11/5.40 fof(f93,plain,(
% 0.11/5.40 (![X]: (~ca_Cx6(X)|(![Y]: ~ra_Px6(X,Y))))&(![X]: (ca_Cx6(X)|(?[Y]: ra_Px6(X,Y))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f92])).
% 0.11/5.40 fof(f94,plain,(
% 0.11/5.40 (![X]: (~ca_Cx6(X)|(![Y]: ~ra_Px6(X,Y))))&(![X]: (ca_Cx6(X)|ra_Px6(X,sK8_skl(X))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Y,sK8_skl(X))],[f93])).
% 0.11/5.40 fof(f96,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6(X0)|ra_Px6(X0,sK8_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f94])).
% 0.11/5.40 fof(f97,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx6xcomp(X)|(ca(X)&cb(X)))&(ca_Cx6xcomp(X)|(~ca(X)|~cb(X))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f16])).
% 0.11/5.40 fof(f98,plain,(
% 0.11/5.40 (![X]: (~ca_Cx6xcomp(X)|(ca(X)&cb(X))))&(![X]: (ca_Cx6xcomp(X)|(~ca(X)|~cb(X))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f97])).
% 0.11/5.40 fof(f99,plain,(
% 0.11/5.40 ![X0]: (~ca_Cx6xcomp(X0)|ca(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f98])).
% 0.11/5.40 fof(f100,plain,(
% 0.11/5.40 ![X0]: (~ca_Cx6xcomp(X0)|cb(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f98])).
% 0.11/5.40 fof(f102,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx6xcomp(X)|(?[Y0]: ra_Px6(X,Y0)))&(ca_Cx6xcomp(X)|(![Y0]: ~ra_Px6(X,Y0))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f17])).
% 0.11/5.40 fof(f103,plain,(
% 0.11/5.40 (![X]: (~ca_Cx6xcomp(X)|(?[Y0]: ra_Px6(X,Y0))))&(![X]: (ca_Cx6xcomp(X)|(![Y0]: ~ra_Px6(X,Y0))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f102])).
% 0.11/5.40 fof(f104,plain,(
% 0.11/5.40 (![X]: (~ca_Cx6xcomp(X)|ra_Px6(X,sK9_skl(X))))&(![X]: (ca_Cx6xcomp(X)|(![Y0]: ~ra_Px6(X,Y0))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Y0,sK9_skl(X))],[f103])).
% 0.11/5.40 fof(f106,plain,(
% 0.11/5.40 ![X0,X1]: (ca_Cx6xcomp(X0)|~ra_Px6(X0,X1))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f104])).
% 0.11/5.40 fof(f107,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx7(X)|(?[Y0]: ra_Px7(X,Y0)))&(ca_Cx7(X)|(![Y0]: ~ra_Px7(X,Y0))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f18])).
% 0.11/5.40 fof(f108,plain,(
% 0.11/5.40 (![X]: (~ca_Cx7(X)|(?[Y0]: ra_Px7(X,Y0))))&(![X]: (ca_Cx7(X)|(![Y0]: ~ra_Px7(X,Y0))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f107])).
% 0.11/5.40 fof(f109,plain,(
% 0.11/5.40 (![X]: (~ca_Cx7(X)|ra_Px7(X,sK10_skl(X))))&(![X]: (ca_Cx7(X)|(![Y0]: ~ra_Px7(X,Y0))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(Y0,sK10_skl(X))],[f108])).
% 0.11/5.40 fof(f111,plain,(
% 0.11/5.40 ![X0,X1]: (ca_Cx7(X0)|~ra_Px7(X0,X1))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f109])).
% 0.11/5.40 fof(f112,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx7xcomp(X)|(cc(X)&ca(X)))&(ca_Cx7xcomp(X)|(~cc(X)|~ca(X))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f19])).
% 0.11/5.40 fof(f113,plain,(
% 0.11/5.40 (![X]: (~ca_Cx7xcomp(X)|(cc(X)&ca(X))))&(![X]: (ca_Cx7xcomp(X)|(~cc(X)|~ca(X))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f112])).
% 0.11/5.40 fof(f114,plain,(
% 0.11/5.40 ![X0]: (~ca_Cx7xcomp(X0)|cc(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f113])).
% 0.11/5.40 fof(f115,plain,(
% 0.11/5.40 ![X0]: (~ca_Cx7xcomp(X0)|ca(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f113])).
% 0.11/5.40 fof(f117,plain,(
% 0.11/5.40 ![X]: (ca_Cx7xcomp(X)<=>(![Y]: ~ra_Px7(X,Y)))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.11/5.40 fof(f118,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx7xcomp(X)|(![Y]: ~ra_Px7(X,Y)))&(ca_Cx7xcomp(X)|(?[Y]: ra_Px7(X,Y))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f117])).
% 0.11/5.40 fof(f119,plain,(
% 0.11/5.40 (![X]: (~ca_Cx7xcomp(X)|(![Y]: ~ra_Px7(X,Y))))&(![X]: (ca_Cx7xcomp(X)|(?[Y]: ra_Px7(X,Y))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f118])).
% 0.11/5.40 fof(f120,plain,(
% 0.11/5.40 (![X]: (~ca_Cx7xcomp(X)|(![Y]: ~ra_Px7(X,Y))))&(![X]: (ca_Cx7xcomp(X)|ra_Px7(X,sK11_skl(X))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(Y,sK11_skl(X))],[f119])).
% 0.11/5.40 fof(f122,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7xcomp(X0)|ra_Px7(X0,sK11_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f120])).
% 0.11/5.40 fof(f123,plain,(
% 0.11/5.40 ![X]: (ca_Cx8(X)<=>(![Y]: ~ra_Px8(X,Y)))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.11/5.40 fof(f124,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx8(X)|(![Y]: ~ra_Px8(X,Y)))&(ca_Cx8(X)|(?[Y]: ra_Px8(X,Y))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f123])).
% 0.11/5.40 fof(f125,plain,(
% 0.11/5.40 (![X]: (~ca_Cx8(X)|(![Y]: ~ra_Px8(X,Y))))&(![X]: (ca_Cx8(X)|(?[Y]: ra_Px8(X,Y))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f124])).
% 0.11/5.40 fof(f126,plain,(
% 0.11/5.40 (![X]: (~ca_Cx8(X)|(![Y]: ~ra_Px8(X,Y))))&(![X]: (ca_Cx8(X)|ra_Px8(X,sK12_skl(X))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(Y,sK12_skl(X))],[f125])).
% 0.11/5.40 fof(f128,plain,(
% 0.11/5.40 ![X0]: (ca_Cx8(X0)|ra_Px8(X0,sK12_skl(X0)))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f126])).
% 0.11/5.40 fof(f129,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx8xcomp(X)|(?[Y0]: ra_Px8(X,Y0)))&(ca_Cx8xcomp(X)|(![Y0]: ~ra_Px8(X,Y0))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f22])).
% 0.11/5.40 fof(f130,plain,(
% 0.11/5.40 (![X]: (~ca_Cx8xcomp(X)|(?[Y0]: ra_Px8(X,Y0))))&(![X]: (ca_Cx8xcomp(X)|(![Y0]: ~ra_Px8(X,Y0))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f129])).
% 0.11/5.40 fof(f131,plain,(
% 0.11/5.40 (![X]: (~ca_Cx8xcomp(X)|ra_Px8(X,sK13_skl(X))))&(![X]: (ca_Cx8xcomp(X)|(![Y0]: ~ra_Px8(X,Y0))))),
% 0.11/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(Y0,sK13_skl(X))],[f130])).
% 0.11/5.40 fof(f133,plain,(
% 0.11/5.40 ![X0,X1]: (ca_Cx8xcomp(X0)|~ra_Px8(X0,X1))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f131])).
% 0.11/5.40 fof(f134,plain,(
% 0.11/5.40 ![X]: ((~ca_Cx8xcomp(X)|(cc(X)&cb(X)))&(ca_Cx8xcomp(X)|(~cc(X)|~cb(X))))),
% 0.11/5.40 inference(NNF_transformation,[status(thm)],[f23])).
% 0.11/5.40 fof(f135,plain,(
% 0.11/5.40 (![X]: (~ca_Cx8xcomp(X)|(cc(X)&cb(X))))&(![X]: (ca_Cx8xcomp(X)|(~cc(X)|~cb(X))))),
% 0.11/5.40 inference(miniscoping,[status(thm)],[f134])).
% 0.11/5.40 fof(f136,plain,(
% 0.11/5.40 ![X0]: (~ca_Cx8xcomp(X0)|cc(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f135])).
% 0.11/5.40 fof(f137,plain,(
% 0.11/5.40 ![X0]: (~ca_Cx8xcomp(X0)|cb(X0))),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f135])).
% 0.11/5.40 fof(f139,plain,(
% 0.11/5.40 cUnsatisfiable(i2003_11_14_17_20_50869)),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/5.40 fof(f161,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6xcomp(X0)|ca_Cx6(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f106,f96])).
% 0.11/5.40 fof(f162,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6(X0)|cb(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f161,f100])).
% 0.11/5.40 fof(f163,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6(X0)|ca(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f161,f99])).
% 0.11/5.40 fof(f164,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6(X0)|ra_Px3(X0,sK2_skl(X0)))),
% 0.11/5.40 inference(resolution,[status(thm)],[f162,f54])).
% 0.11/5.40 fof(f166,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6(X0)|ca_Cx1(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f163,f50])).
% 0.11/5.40 fof(f167,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6(X0)|~cbxcomp(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f164,f62])).
% 0.11/5.40 fof(f172,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6(X0)|cbxcomp(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f166,f77])).
% 0.11/5.40 fof(f178,plain,(
% 0.11/5.40 ![X0]: (cUnsatisfiablexcomp(X0)|~ca_Cx7(X0)|~ca_Cx8(X0))),
% 0.11/5.40 inference(backward_subsumption_resolution,[status(thm)],[f43,f179])).
% 0.11/5.40 fof(f179,plain,(
% 0.11/5.40 ![X0]: (ca_Cx6(X0))),
% 0.11/5.40 inference(forward_subsumption_resolution,[status(thm)],[f167,f172])).
% 0.11/5.40 fof(f184,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7(X0)|ca_Cx7xcomp(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f111,f122])).
% 0.11/5.40 fof(f185,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7(X0)|ca(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f184,f115])).
% 0.11/5.40 fof(f186,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7(X0)|cc(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f184,f114])).
% 0.11/5.40 fof(f187,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7(X0)|ca_Cx1(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f185,f50])).
% 0.11/5.40 fof(f188,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7(X0)|ra_Px2(X0,sK4_skl(X0)))),
% 0.11/5.40 inference(resolution,[status(thm)],[f186,f67])).
% 0.11/5.40 fof(f190,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7(X0)|ccxcomp(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f187,f78])).
% 0.11/5.40 fof(f192,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7(X0)|~ccxcomp(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f188,f73])).
% 0.11/5.40 fof(f204,plain,(
% 0.11/5.40 ![X0]: (ca_Cx7(X0))),
% 0.11/5.40 inference(forward_subsumption_resolution,[status(thm)],[f192,f190])).
% 0.11/5.40 fof(f206,plain,(
% 0.11/5.40 ![X0]: (ca_Cx8xcomp(X0)|ca_Cx8(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f133,f128])).
% 0.11/5.40 fof(f208,plain,(
% 0.11/5.40 ![X0]: (ca_Cx8(X0)|cb(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f206,f137])).
% 0.11/5.40 fof(f209,plain,(
% 0.11/5.40 ![X0]: (ca_Cx8(X0)|cc(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f206,f136])).
% 0.11/5.40 fof(f214,plain,(
% 0.11/5.40 ![X0]: (ca_Cx8(X0)|ccxcomp(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f208,f57])).
% 0.11/5.40 fof(f216,plain,(
% 0.11/5.40 ![X0]: (ca_Cx8(X0)|ra_Px2(X0,sK4_skl(X0)))),
% 0.11/5.40 inference(resolution,[status(thm)],[f209,f67])).
% 0.11/5.40 fof(f221,plain,(
% 0.11/5.40 ![X0]: (cUnsatisfiablexcomp(X0)|~ca_Cx8(X0))),
% 0.11/5.40 inference(forward_subsumption_resolution,[status(thm)],[f178,f204])).
% 0.11/5.40 fof(f224,plain,(
% 0.11/5.40 ![X0]: (ca_Cx8(X0)|~ccxcomp(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f216,f73])).
% 0.11/5.40 fof(f226,plain,(
% 0.11/5.40 ![X0]: (ca_Cx8(X0))),
% 0.11/5.40 inference(forward_subsumption_resolution,[status(thm)],[f224,f214])).
% 0.11/5.40 fof(f228,plain,(
% 0.11/5.40 ![X0]: (cUnsatisfiablexcomp(X0))),
% 0.11/5.40 inference(backward_subsumption_resolution,[status(thm)],[f221,f226])).
% 0.11/5.40 fof(f231,plain,(
% 0.11/5.40 ![X0]: (ra_Px5(X0,sK1_skl(X0)))),
% 0.11/5.40 inference(backward_subsumption_resolution,[status(thm)],[f47,f228])).
% 0.11/5.40 fof(f233,plain,(
% 0.11/5.40 ![X0]: (~cUnsatisfiable(X0))),
% 0.11/5.40 inference(resolution,[status(thm)],[f231,f36])).
% 0.11/5.40 fof(f241,plain,(
% 0.11/5.40 $false),
% 0.11/5.40 inference(backward_subsumption_resolution,[status(thm)],[f139,f233])).
% 0.11/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.41 % Elapsed time: 0.030993 seconds
% 0.15/5.41 % CPU time: 0.081041 seconds
% 0.15/5.41 % Total memory used: 3.093 MB
% 0.15/5.41 % Net memory used: 3.005 MB
%------------------------------------------------------------------------------