TSTP Solution File: KRS104+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:24:47 EDT 2024
% Result : Unsatisfiable 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:18:26 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.35 fof(f3,axiom,(
% 0.14/0.35 (! [X] :( cUnsatisfiable(X)<=> ~ (? [Y] : ra_Px5(X,Y) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f4,axiom,(
% 0.14/0.35 (! [X] :( cUnsatisfiablexcomp(X)<=> ( ca_Cx7(X)& ca_Cx8(X)& ca_Cx6(X) ) ) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f5,axiom,(
% 0.14/0.35 (! [X] :( cUnsatisfiablexcomp(X)<=> (? [Y0] : ra_Px5(X,Y0) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f6,axiom,(
% 0.14/0.35 (! [X] :( ca(X)=> ca_Cx1(X) ) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f7,axiom,(
% 0.14/0.35 (! [X] :( cb(X)<=> (? [Y0] : ra_Px3(X,Y0) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f8,axiom,(
% 0.14/0.35 (! [X] :( cb(X)=> ccxcomp(X) ) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f9,axiom,(
% 0.14/0.35 (! [X] :( cbxcomp(X)<=> ~ (? [Y] : ra_Px3(X,Y) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f10,axiom,(
% 0.14/0.35 (! [X] :( cc(X)<=> (? [Y0] : ra_Px2(X,Y0) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f11,axiom,(
% 0.14/0.35 (! [X] :( ccxcomp(X)<=> ~ (? [Y] : ra_Px2(X,Y) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f12,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx1(X)<=> ( cbxcomp(X)& ccxcomp(X) ) ) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f15,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx6(X)<=> ~ (? [Y] : ra_Px6(X,Y) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f16,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx6xcomp(X)<=> ( ca(X)& cb(X) ) ) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f17,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx6xcomp(X)<=> (? [Y0] : ra_Px6(X,Y0) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f18,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx7(X)<=> (? [Y0] : ra_Px7(X,Y0) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f19,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx7xcomp(X)<=> ( cc(X)& ca(X) ) ) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f20,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx7xcomp(X)<=> ~ (? [Y] : ra_Px7(X,Y) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f21,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx8(X)<=> ~ (? [Y] : ra_Px8(X,Y) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f22,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx8xcomp(X)<=> (? [Y0] : ra_Px8(X,Y0) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f23,axiom,(
% 0.14/0.35 (! [X] :( ca_Cx8xcomp(X)<=> ( cc(X)& cb(X) ) ) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f24,axiom,(
% 0.14/0.35 cUnsatisfiable(i2003_11_14_17_20_50869) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f32,plain,(
% 0.14/0.35 ![X]: (cUnsatisfiable(X)<=>(![Y]: ~ra_Px5(X,Y)))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.14/0.35 fof(f33,plain,(
% 0.14/0.35 ![X]: ((~cUnsatisfiable(X)|(![Y]: ~ra_Px5(X,Y)))&(cUnsatisfiable(X)|(?[Y]: ra_Px5(X,Y))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f32])).
% 0.14/0.35 fof(f34,plain,(
% 0.14/0.35 (![X]: (~cUnsatisfiable(X)|(![Y]: ~ra_Px5(X,Y))))&(![X]: (cUnsatisfiable(X)|(?[Y]: ra_Px5(X,Y))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f33])).
% 0.14/0.35 fof(f35,plain,(
% 0.14/0.35 (![X]: (~cUnsatisfiable(X)|(![Y]: ~ra_Px5(X,Y))))&(![X]: (cUnsatisfiable(X)|ra_Px5(X,sk0_0(X))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f34])).
% 0.14/0.35 fof(f36,plain,(
% 0.14/0.35 ![X0,X1]: (~cUnsatisfiable(X0)|~ra_Px5(X0,X1))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.35 fof(f38,plain,(
% 0.14/0.35 ![X]: ((~cUnsatisfiablexcomp(X)|((ca_Cx7(X)&ca_Cx8(X))&ca_Cx6(X)))&(cUnsatisfiablexcomp(X)|((~ca_Cx7(X)|~ca_Cx8(X))|~ca_Cx6(X))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f4])).
% 0.14/0.35 fof(f39,plain,(
% 0.14/0.35 (![X]: (~cUnsatisfiablexcomp(X)|((ca_Cx7(X)&ca_Cx8(X))&ca_Cx6(X))))&(![X]: (cUnsatisfiablexcomp(X)|((~ca_Cx7(X)|~ca_Cx8(X))|~ca_Cx6(X))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f38])).
% 0.14/0.35 fof(f43,plain,(
% 0.14/0.35 ![X0]: (cUnsatisfiablexcomp(X0)|~ca_Cx7(X0)|~ca_Cx8(X0)|~ca_Cx6(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.35 fof(f44,plain,(
% 0.14/0.35 ![X]: ((~cUnsatisfiablexcomp(X)|(?[Y0]: ra_Px5(X,Y0)))&(cUnsatisfiablexcomp(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f5])).
% 0.14/0.35 fof(f45,plain,(
% 0.14/0.35 (![X]: (~cUnsatisfiablexcomp(X)|(?[Y0]: ra_Px5(X,Y0))))&(![X]: (cUnsatisfiablexcomp(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f44])).
% 0.14/0.35 fof(f46,plain,(
% 0.14/0.35 (![X]: (~cUnsatisfiablexcomp(X)|ra_Px5(X,sk0_1(X))))&(![X]: (cUnsatisfiablexcomp(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f45])).
% 0.14/0.35 fof(f47,plain,(
% 0.14/0.35 ![X0]: (~cUnsatisfiablexcomp(X0)|ra_Px5(X0,sk0_1(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f46])).
% 0.14/0.35 fof(f49,plain,(
% 0.14/0.35 ![X]: (~ca(X)|ca_Cx1(X))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.14/0.35 fof(f50,plain,(
% 0.14/0.35 ![X0]: (~ca(X0)|ca_Cx1(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f49])).
% 0.14/0.35 fof(f51,plain,(
% 0.14/0.35 ![X]: ((~cb(X)|(?[Y0]: ra_Px3(X,Y0)))&(cb(X)|(![Y0]: ~ra_Px3(X,Y0))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f7])).
% 0.14/0.35 fof(f52,plain,(
% 0.14/0.35 (![X]: (~cb(X)|(?[Y0]: ra_Px3(X,Y0))))&(![X]: (cb(X)|(![Y0]: ~ra_Px3(X,Y0))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f51])).
% 0.14/0.35 fof(f53,plain,(
% 0.14/0.35 (![X]: (~cb(X)|ra_Px3(X,sk0_2(X))))&(![X]: (cb(X)|(![Y0]: ~ra_Px3(X,Y0))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f52])).
% 0.14/0.35 fof(f54,plain,(
% 0.14/0.35 ![X0]: (~cb(X0)|ra_Px3(X0,sk0_2(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f53])).
% 0.14/0.35 fof(f56,plain,(
% 0.14/0.35 ![X]: (~cb(X)|ccxcomp(X))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.14/0.35 fof(f57,plain,(
% 0.14/0.35 ![X0]: (~cb(X0)|ccxcomp(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f56])).
% 0.14/0.35 fof(f58,plain,(
% 0.14/0.35 ![X]: (cbxcomp(X)<=>(![Y]: ~ra_Px3(X,Y)))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.14/0.35 fof(f59,plain,(
% 0.14/0.35 ![X]: ((~cbxcomp(X)|(![Y]: ~ra_Px3(X,Y)))&(cbxcomp(X)|(?[Y]: ra_Px3(X,Y))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f58])).
% 0.14/0.35 fof(f60,plain,(
% 0.14/0.35 (![X]: (~cbxcomp(X)|(![Y]: ~ra_Px3(X,Y))))&(![X]: (cbxcomp(X)|(?[Y]: ra_Px3(X,Y))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f59])).
% 0.14/0.35 fof(f61,plain,(
% 0.14/0.35 (![X]: (~cbxcomp(X)|(![Y]: ~ra_Px3(X,Y))))&(![X]: (cbxcomp(X)|ra_Px3(X,sk0_3(X))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f60])).
% 0.14/0.35 fof(f62,plain,(
% 0.14/0.35 ![X0,X1]: (~cbxcomp(X0)|~ra_Px3(X0,X1))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f61])).
% 0.14/0.35 fof(f64,plain,(
% 0.14/0.35 ![X]: ((~cc(X)|(?[Y0]: ra_Px2(X,Y0)))&(cc(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f10])).
% 0.14/0.35 fof(f65,plain,(
% 0.14/0.35 (![X]: (~cc(X)|(?[Y0]: ra_Px2(X,Y0))))&(![X]: (cc(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f64])).
% 0.14/0.35 fof(f66,plain,(
% 0.14/0.35 (![X]: (~cc(X)|ra_Px2(X,sk0_4(X))))&(![X]: (cc(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f65])).
% 0.14/0.35 fof(f67,plain,(
% 0.14/0.35 ![X0]: (~cc(X0)|ra_Px2(X0,sk0_4(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f66])).
% 0.14/0.35 fof(f69,plain,(
% 0.14/0.35 ![X]: (ccxcomp(X)<=>(![Y]: ~ra_Px2(X,Y)))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.14/0.35 fof(f70,plain,(
% 0.14/0.35 ![X]: ((~ccxcomp(X)|(![Y]: ~ra_Px2(X,Y)))&(ccxcomp(X)|(?[Y]: ra_Px2(X,Y))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f69])).
% 0.14/0.35 fof(f71,plain,(
% 0.14/0.35 (![X]: (~ccxcomp(X)|(![Y]: ~ra_Px2(X,Y))))&(![X]: (ccxcomp(X)|(?[Y]: ra_Px2(X,Y))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f70])).
% 0.14/0.35 fof(f72,plain,(
% 0.14/0.35 (![X]: (~ccxcomp(X)|(![Y]: ~ra_Px2(X,Y))))&(![X]: (ccxcomp(X)|ra_Px2(X,sk0_5(X))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f71])).
% 0.14/0.35 fof(f73,plain,(
% 0.14/0.35 ![X0,X1]: (~ccxcomp(X0)|~ra_Px2(X0,X1))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f72])).
% 0.14/0.35 fof(f75,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx1(X)|(cbxcomp(X)&ccxcomp(X)))&(ca_Cx1(X)|(~cbxcomp(X)|~ccxcomp(X))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f12])).
% 0.14/0.35 fof(f76,plain,(
% 0.14/0.35 (![X]: (~ca_Cx1(X)|(cbxcomp(X)&ccxcomp(X))))&(![X]: (ca_Cx1(X)|(~cbxcomp(X)|~ccxcomp(X))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f75])).
% 0.14/0.35 fof(f77,plain,(
% 0.14/0.35 ![X0]: (~ca_Cx1(X0)|cbxcomp(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f76])).
% 0.14/0.35 fof(f78,plain,(
% 0.14/0.35 ![X0]: (~ca_Cx1(X0)|ccxcomp(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f76])).
% 0.14/0.35 fof(f91,plain,(
% 0.14/0.35 ![X]: (ca_Cx6(X)<=>(![Y]: ~ra_Px6(X,Y)))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.14/0.35 fof(f92,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx6(X)|(![Y]: ~ra_Px6(X,Y)))&(ca_Cx6(X)|(?[Y]: ra_Px6(X,Y))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f91])).
% 0.14/0.35 fof(f93,plain,(
% 0.14/0.35 (![X]: (~ca_Cx6(X)|(![Y]: ~ra_Px6(X,Y))))&(![X]: (ca_Cx6(X)|(?[Y]: ra_Px6(X,Y))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f92])).
% 0.14/0.35 fof(f94,plain,(
% 0.14/0.35 (![X]: (~ca_Cx6(X)|(![Y]: ~ra_Px6(X,Y))))&(![X]: (ca_Cx6(X)|ra_Px6(X,sk0_8(X))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f93])).
% 0.14/0.35 fof(f96,plain,(
% 0.14/0.35 ![X0]: (ca_Cx6(X0)|ra_Px6(X0,sk0_8(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f94])).
% 0.14/0.35 fof(f97,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx6xcomp(X)|(ca(X)&cb(X)))&(ca_Cx6xcomp(X)|(~ca(X)|~cb(X))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f16])).
% 0.14/0.35 fof(f98,plain,(
% 0.14/0.35 (![X]: (~ca_Cx6xcomp(X)|(ca(X)&cb(X))))&(![X]: (ca_Cx6xcomp(X)|(~ca(X)|~cb(X))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f97])).
% 0.14/0.35 fof(f99,plain,(
% 0.14/0.35 ![X0]: (~ca_Cx6xcomp(X0)|ca(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.14/0.35 fof(f100,plain,(
% 0.14/0.35 ![X0]: (~ca_Cx6xcomp(X0)|cb(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f98])).
% 0.14/0.35 fof(f102,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx6xcomp(X)|(?[Y0]: ra_Px6(X,Y0)))&(ca_Cx6xcomp(X)|(![Y0]: ~ra_Px6(X,Y0))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f17])).
% 0.14/0.35 fof(f103,plain,(
% 0.14/0.35 (![X]: (~ca_Cx6xcomp(X)|(?[Y0]: ra_Px6(X,Y0))))&(![X]: (ca_Cx6xcomp(X)|(![Y0]: ~ra_Px6(X,Y0))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f102])).
% 0.14/0.35 fof(f104,plain,(
% 0.14/0.35 (![X]: (~ca_Cx6xcomp(X)|ra_Px6(X,sk0_9(X))))&(![X]: (ca_Cx6xcomp(X)|(![Y0]: ~ra_Px6(X,Y0))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f103])).
% 0.14/0.35 fof(f106,plain,(
% 0.14/0.35 ![X0,X1]: (ca_Cx6xcomp(X0)|~ra_Px6(X0,X1))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f104])).
% 0.14/0.35 fof(f107,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx7(X)|(?[Y0]: ra_Px7(X,Y0)))&(ca_Cx7(X)|(![Y0]: ~ra_Px7(X,Y0))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f18])).
% 0.14/0.35 fof(f108,plain,(
% 0.14/0.35 (![X]: (~ca_Cx7(X)|(?[Y0]: ra_Px7(X,Y0))))&(![X]: (ca_Cx7(X)|(![Y0]: ~ra_Px7(X,Y0))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f107])).
% 0.14/0.35 fof(f109,plain,(
% 0.14/0.35 (![X]: (~ca_Cx7(X)|ra_Px7(X,sk0_10(X))))&(![X]: (ca_Cx7(X)|(![Y0]: ~ra_Px7(X,Y0))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f108])).
% 0.14/0.35 fof(f111,plain,(
% 0.14/0.35 ![X0,X1]: (ca_Cx7(X0)|~ra_Px7(X0,X1))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f109])).
% 0.14/0.35 fof(f112,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx7xcomp(X)|(cc(X)&ca(X)))&(ca_Cx7xcomp(X)|(~cc(X)|~ca(X))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f19])).
% 0.14/0.35 fof(f113,plain,(
% 0.14/0.35 (![X]: (~ca_Cx7xcomp(X)|(cc(X)&ca(X))))&(![X]: (ca_Cx7xcomp(X)|(~cc(X)|~ca(X))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f112])).
% 0.14/0.35 fof(f114,plain,(
% 0.14/0.35 ![X0]: (~ca_Cx7xcomp(X0)|cc(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f113])).
% 0.14/0.35 fof(f115,plain,(
% 0.14/0.35 ![X0]: (~ca_Cx7xcomp(X0)|ca(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f113])).
% 0.14/0.35 fof(f117,plain,(
% 0.14/0.35 ![X]: (ca_Cx7xcomp(X)<=>(![Y]: ~ra_Px7(X,Y)))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.14/0.35 fof(f118,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx7xcomp(X)|(![Y]: ~ra_Px7(X,Y)))&(ca_Cx7xcomp(X)|(?[Y]: ra_Px7(X,Y))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f117])).
% 0.14/0.35 fof(f119,plain,(
% 0.14/0.35 (![X]: (~ca_Cx7xcomp(X)|(![Y]: ~ra_Px7(X,Y))))&(![X]: (ca_Cx7xcomp(X)|(?[Y]: ra_Px7(X,Y))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f118])).
% 0.14/0.35 fof(f120,plain,(
% 0.14/0.35 (![X]: (~ca_Cx7xcomp(X)|(![Y]: ~ra_Px7(X,Y))))&(![X]: (ca_Cx7xcomp(X)|ra_Px7(X,sk0_11(X))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f119])).
% 0.14/0.35 fof(f122,plain,(
% 0.14/0.35 ![X0]: (ca_Cx7xcomp(X0)|ra_Px7(X0,sk0_11(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f120])).
% 0.14/0.35 fof(f123,plain,(
% 0.14/0.35 ![X]: (ca_Cx8(X)<=>(![Y]: ~ra_Px8(X,Y)))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.14/0.35 fof(f124,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx8(X)|(![Y]: ~ra_Px8(X,Y)))&(ca_Cx8(X)|(?[Y]: ra_Px8(X,Y))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f123])).
% 0.14/0.35 fof(f125,plain,(
% 0.14/0.35 (![X]: (~ca_Cx8(X)|(![Y]: ~ra_Px8(X,Y))))&(![X]: (ca_Cx8(X)|(?[Y]: ra_Px8(X,Y))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f124])).
% 0.14/0.35 fof(f126,plain,(
% 0.14/0.35 (![X]: (~ca_Cx8(X)|(![Y]: ~ra_Px8(X,Y))))&(![X]: (ca_Cx8(X)|ra_Px8(X,sk0_12(X))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f125])).
% 0.14/0.35 fof(f128,plain,(
% 0.14/0.35 ![X0]: (ca_Cx8(X0)|ra_Px8(X0,sk0_12(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f126])).
% 0.14/0.35 fof(f129,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx8xcomp(X)|(?[Y0]: ra_Px8(X,Y0)))&(ca_Cx8xcomp(X)|(![Y0]: ~ra_Px8(X,Y0))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f22])).
% 0.14/0.35 fof(f130,plain,(
% 0.14/0.35 (![X]: (~ca_Cx8xcomp(X)|(?[Y0]: ra_Px8(X,Y0))))&(![X]: (ca_Cx8xcomp(X)|(![Y0]: ~ra_Px8(X,Y0))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f129])).
% 0.14/0.35 fof(f131,plain,(
% 0.14/0.35 (![X]: (~ca_Cx8xcomp(X)|ra_Px8(X,sk0_13(X))))&(![X]: (ca_Cx8xcomp(X)|(![Y0]: ~ra_Px8(X,Y0))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f130])).
% 0.14/0.35 fof(f133,plain,(
% 0.14/0.35 ![X0,X1]: (ca_Cx8xcomp(X0)|~ra_Px8(X0,X1))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f131])).
% 0.14/0.35 fof(f134,plain,(
% 0.14/0.35 ![X]: ((~ca_Cx8xcomp(X)|(cc(X)&cb(X)))&(ca_Cx8xcomp(X)|(~cc(X)|~cb(X))))),
% 0.14/0.35 inference(NNF_transformation,[status(esa)],[f23])).
% 0.14/0.35 fof(f135,plain,(
% 0.14/0.35 (![X]: (~ca_Cx8xcomp(X)|(cc(X)&cb(X))))&(![X]: (ca_Cx8xcomp(X)|(~cc(X)|~cb(X))))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f134])).
% 0.14/0.35 fof(f136,plain,(
% 0.14/0.35 ![X0]: (~ca_Cx8xcomp(X0)|cc(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f135])).
% 0.14/0.35 fof(f137,plain,(
% 0.14/0.35 ![X0]: (~ca_Cx8xcomp(X0)|cb(X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f135])).
% 0.14/0.35 fof(f139,plain,(
% 0.14/0.35 cUnsatisfiable(i2003_11_14_17_20_50869)),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.35 fof(f140,plain,(
% 0.14/0.35 ![X0]: (~cUnsatisfiablexcomp(X0)|~cUnsatisfiable(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f47,f36])).
% 0.14/0.35 fof(f141,plain,(
% 0.14/0.35 ![X0]: (~cb(X0)|~cbxcomp(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f54,f62])).
% 0.14/0.35 fof(f142,plain,(
% 0.14/0.35 ![X0]: (~cc(X0)|~ccxcomp(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f67,f73])).
% 0.14/0.35 fof(f143,plain,(
% 0.14/0.35 ![X0]: (~cUnsatisfiable(X0)|~ca_Cx7(X0)|~ca_Cx8(X0)|~ca_Cx6(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f140,f43])).
% 0.14/0.35 fof(f147,plain,(
% 0.14/0.35 ![X0]: (~ccxcomp(X0)|~ca_Cx7xcomp(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f142,f114])).
% 0.14/0.35 fof(f148,plain,(
% 0.14/0.35 ![X0]: (~ccxcomp(X0)|ra_Px7(X0,sk0_11(X0)))),
% 0.14/0.35 inference(resolution,[status(thm)],[f147,f122])).
% 0.14/0.35 fof(f150,plain,(
% 0.14/0.35 ![X0]: (ca_Cx6xcomp(X0)|ca_Cx6(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f106,f96])).
% 0.14/0.35 fof(f152,plain,(
% 0.14/0.35 ![X0]: (ca_Cx8xcomp(X0)|ca_Cx8(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f133,f128])).
% 0.14/0.35 fof(f168,plain,(
% 0.14/0.35 ![X0]: (ca_Cx6xcomp(X0)|~cUnsatisfiable(X0)|~ca_Cx7(X0)|~ca_Cx8(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f150,f143])).
% 0.14/0.35 fof(f174,plain,(
% 0.14/0.35 ![X0]: (ca_Cx6xcomp(X0)|~cUnsatisfiable(X0)|~ca_Cx7(X0)|ca_Cx8xcomp(X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f168,f152])).
% 0.14/0.35 fof(f176,plain,(
% 0.14/0.35 ![X0,X1]: (ca_Cx6xcomp(X0)|~cUnsatisfiable(X0)|ca_Cx8xcomp(X0)|~ra_Px7(X0,X1))),
% 0.14/0.35 inference(resolution,[status(thm)],[f174,f111])).
% 0.14/0.35 fof(f178,plain,(
% 0.14/0.35 spl0_0 <=> ca_Cx6xcomp(i2003_11_14_17_20_50869)),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f179,plain,(
% 0.14/0.35 ca_Cx6xcomp(i2003_11_14_17_20_50869)|~spl0_0),
% 0.14/0.35 inference(component_clause,[status(thm)],[f178])).
% 0.14/0.35 fof(f181,plain,(
% 0.14/0.35 spl0_1 <=> ca_Cx8xcomp(i2003_11_14_17_20_50869)),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f182,plain,(
% 0.14/0.35 ca_Cx8xcomp(i2003_11_14_17_20_50869)|~spl0_1),
% 0.14/0.35 inference(component_clause,[status(thm)],[f181])).
% 0.14/0.35 fof(f184,plain,(
% 0.14/0.35 spl0_2 <=> ~ra_Px7(i2003_11_14_17_20_50869,X0)),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f185,plain,(
% 0.14/0.35 ![X0]: (~ra_Px7(i2003_11_14_17_20_50869,X0)|~spl0_2)),
% 0.14/0.35 inference(component_clause,[status(thm)],[f184])).
% 0.14/0.35 fof(f187,plain,(
% 0.14/0.35 ![X0]: (ca_Cx6xcomp(i2003_11_14_17_20_50869)|ca_Cx8xcomp(i2003_11_14_17_20_50869)|~ra_Px7(i2003_11_14_17_20_50869,X0))),
% 0.14/0.35 inference(resolution,[status(thm)],[f176,f139])).
% 0.14/0.35 fof(f188,plain,(
% 0.14/0.35 spl0_0|spl0_1|spl0_2),
% 0.14/0.35 inference(split_clause,[status(thm)],[f187,f178,f181,f184])).
% 0.14/0.35 fof(f199,plain,(
% 0.14/0.35 ~ccxcomp(i2003_11_14_17_20_50869)|~spl0_2),
% 0.14/0.35 inference(resolution,[status(thm)],[f185,f148])).
% 0.14/0.35 fof(f202,plain,(
% 0.14/0.35 cb(i2003_11_14_17_20_50869)|~spl0_0),
% 0.14/0.35 inference(resolution,[status(thm)],[f179,f100])).
% 0.14/0.35 fof(f203,plain,(
% 0.14/0.35 ca(i2003_11_14_17_20_50869)|~spl0_0),
% 0.14/0.35 inference(resolution,[status(thm)],[f179,f99])).
% 0.14/0.36 fof(f214,plain,(
% 0.14/0.36 ~cbxcomp(i2003_11_14_17_20_50869)|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f202,f141])).
% 0.14/0.36 fof(f218,plain,(
% 0.14/0.36 cb(i2003_11_14_17_20_50869)|~spl0_1),
% 0.14/0.36 inference(resolution,[status(thm)],[f182,f137])).
% 0.14/0.36 fof(f219,plain,(
% 0.14/0.36 cc(i2003_11_14_17_20_50869)|~spl0_1),
% 0.14/0.36 inference(resolution,[status(thm)],[f182,f136])).
% 0.14/0.36 fof(f237,plain,(
% 0.14/0.36 ~ccxcomp(i2003_11_14_17_20_50869)|~spl0_1),
% 0.14/0.36 inference(resolution,[status(thm)],[f219,f142])).
% 0.14/0.36 fof(f247,plain,(
% 0.14/0.36 ~cb(i2003_11_14_17_20_50869)|~spl0_1),
% 0.14/0.36 inference(resolution,[status(thm)],[f237,f57])).
% 0.14/0.36 fof(f248,plain,(
% 0.14/0.36 $false|~spl0_1),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f247,f218])).
% 0.14/0.36 fof(f249,plain,(
% 0.14/0.36 ~spl0_1),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f248])).
% 0.14/0.36 fof(f267,plain,(
% 0.14/0.36 ~ca_Cx1(i2003_11_14_17_20_50869)|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f214,f77])).
% 0.14/0.36 fof(f290,plain,(
% 0.14/0.36 ~ca(i2003_11_14_17_20_50869)|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f267,f50])).
% 0.14/0.36 fof(f291,plain,(
% 0.14/0.36 $false|~spl0_0),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f290,f203])).
% 0.14/0.36 fof(f292,plain,(
% 0.14/0.36 ~spl0_0),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f291])).
% 0.14/0.36 fof(f295,plain,(
% 0.14/0.36 ~ca_Cx1(i2003_11_14_17_20_50869)|~spl0_2),
% 0.14/0.36 inference(resolution,[status(thm)],[f199,f78])).
% 0.14/0.36 fof(f309,plain,(
% 0.14/0.36 ~ca(i2003_11_14_17_20_50869)|~spl0_2),
% 0.14/0.36 inference(resolution,[status(thm)],[f295,f50])).
% 0.14/0.36 fof(f310,plain,(
% 0.14/0.36 ~ca_Cx7xcomp(i2003_11_14_17_20_50869)|~spl0_2),
% 0.14/0.36 inference(resolution,[status(thm)],[f309,f115])).
% 0.14/0.36 fof(f317,plain,(
% 0.14/0.36 ra_Px7(i2003_11_14_17_20_50869,sk0_11(i2003_11_14_17_20_50869))|~spl0_2),
% 0.14/0.36 inference(resolution,[status(thm)],[f310,f122])).
% 0.14/0.36 fof(f318,plain,(
% 0.14/0.36 $false|~spl0_2),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f317,f185])).
% 0.14/0.36 fof(f319,plain,(
% 0.14/0.36 ~spl0_2),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f318])).
% 0.14/0.36 fof(f320,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f188,f249,f292,f319])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.36 % Elapsed time: 0.013001 seconds
% 0.14/0.36 % CPU time: 0.032246 seconds
% 0.14/0.36 % Total memory used: 1.148 MB
% 0.14/0.36 % Net memory used: 1.013 MB
%------------------------------------------------------------------------------