TSTP Solution File: SEU425+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 : Wed May 31 12:37:03 EDT 2023
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:11:17 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f1,conjecture,(
% 0.15/0.42 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> ( v1_funct_1(k5_relset_2(A,C))& v1_funct_2(k5_relset_2(A,C),k1_zfmisc_1(A),k1_zfmisc_1(k2_relat_1(C)))& m2_relset_1(k5_relset_2(A,C),k1_zfmisc_1(A),k1_zfmisc_1(k2_relat_1(C))) ) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f2,negated_conjecture,(
% 0.15/0.42 ~((! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> ( v1_funct_1(k5_relset_2(A,C))& v1_funct_2(k5_relset_2(A,C),k1_zfmisc_1(A),k1_zfmisc_1(k2_relat_1(C)))& m2_relset_1(k5_relset_2(A,C),k1_zfmisc_1(A),k1_zfmisc_1(k2_relat_1(C))) ) ) ))),
% 0.15/0.42 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.42 fof(f5,axiom,(
% 0.15/0.42 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> v1_relat_1(C) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f6,axiom,(
% 0.15/0.42 (! [A,B,C] :( m2_relset_1(C,A,B)=> ( ( ( B = k1_xboole_0=> A = k1_xboole_0 )=> ( v1_funct_2(C,A,B)<=> A = k4_relset_1(A,B,C) ) )& ( B = k1_xboole_0=> ( A = k1_xboole_0| ( v1_funct_2(C,A,B)<=> C = k1_xboole_0 ) ) ) ) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f7,axiom,(
% 0.15/0.42 (! [A,B] :( v1_relat_1(B)=> (! [C] :( ( v1_relat_1(C)& v1_funct_1(C) )=> ( C = k5_relset_2(A,B)<=> ( k1_relat_1(C) = k1_zfmisc_1(A)& (! [D] :( r1_tarski(D,A)=> k1_funct_1(C,D) = k9_relat_1(B,D) ) )) ) ) )) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f15,axiom,(
% 0.15/0.42 (! [A,B] :( v1_relat_1(B)=> ( v1_relat_1(k5_relset_2(A,B))& v1_funct_1(k5_relset_2(A,B)) ) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f23,axiom,(
% 0.15/0.42 ( v1_xboole_0(k1_xboole_0)& v1_relat_1(k1_xboole_0)& v3_relat_1(k1_xboole_0) ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f24,axiom,(
% 0.15/0.42 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f35,axiom,(
% 0.15/0.42 (? [A] :( ~ v1_xboole_0(A)& v1_relat_1(A) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f38,axiom,(
% 0.15/0.42 (! [A,B,C] :( m1_relset_1(C,A,B)=> k4_relset_1(A,B,C) = k1_relat_1(C) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f39,axiom,(
% 0.15/0.42 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f40,axiom,(
% 0.15/0.42 (! [A,B] : r1_tarski(A,A) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f41,axiom,(
% 0.15/0.42 (! [A,B,C] :( v1_relat_1(C)=> ( ( r1_tarski(k1_relat_1(C),A)& r1_tarski(k2_relat_1(C),B) )=> m2_relset_1(C,A,B) ) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f43,axiom,(
% 0.15/0.42 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> r1_tarski(k2_relat_1(k5_relset_2(A,C)),k1_zfmisc_1(k2_relat_1(C))) ) )),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f51,plain,(
% 0.15/0.42 (?[A,B,C]: (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))&((~v1_funct_1(k5_relset_2(A,C))|~v1_funct_2(k5_relset_2(A,C),k1_zfmisc_1(A),k1_zfmisc_1(k2_relat_1(C))))|~m2_relset_1(k5_relset_2(A,C),k1_zfmisc_1(A),k1_zfmisc_1(k2_relat_1(C))))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.42 fof(f52,plain,(
% 0.15/0.42 ?[A,C]: ((?[B]: m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))&((~v1_funct_1(k5_relset_2(A,C))|~v1_funct_2(k5_relset_2(A,C),k1_zfmisc_1(A),k1_zfmisc_1(k2_relat_1(C))))|~m2_relset_1(k5_relset_2(A,C),k1_zfmisc_1(A),k1_zfmisc_1(k2_relat_1(C)))))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f51])).
% 0.15/0.42 fof(f53,plain,(
% 0.15/0.42 (m1_subset_1(sk0_1,k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_2)))&((~v1_funct_1(k5_relset_2(sk0_0,sk0_1))|~v1_funct_2(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1))))|~m2_relset_1(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))))),
% 0.15/0.42 inference(skolemization,[status(esa)],[f52])).
% 0.15/0.42 fof(f54,plain,(
% 0.15/0.42 m1_subset_1(sk0_1,k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_2)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f53])).
% 0.15/0.42 fof(f55,plain,(
% 0.15/0.42 ~v1_funct_1(k5_relset_2(sk0_0,sk0_1))|~v1_funct_2(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))|~m2_relset_1(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f53])).
% 0.15/0.42 fof(f60,plain,(
% 0.15/0.42 ![A,B,C]: (~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.15/0.42 fof(f61,plain,(
% 0.15/0.42 ![C]: ((![A,B]: ~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))|v1_relat_1(C))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f60])).
% 0.15/0.42 fof(f62,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|v1_relat_1(X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f61])).
% 0.15/0.42 fof(f63,plain,(
% 0.15/0.42 ![A,B,C]: (~m2_relset_1(C,A,B)|(((B=k1_xboole_0&~A=k1_xboole_0)|(v1_funct_2(C,A,B)<=>A=k4_relset_1(A,B,C)))&(~B=k1_xboole_0|(A=k1_xboole_0|(v1_funct_2(C,A,B)<=>C=k1_xboole_0)))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.15/0.42 fof(f64,plain,(
% 0.15/0.42 ![A,B]: (pd0_0(B,A)=>(B=k1_xboole_0&~A=k1_xboole_0))),
% 0.15/0.42 introduced(predicate_definition,[f63])).
% 0.15/0.42 fof(f65,plain,(
% 0.15/0.42 ![A,B,C]: (~m2_relset_1(C,A,B)|((pd0_0(B,A)|(v1_funct_2(C,A,B)<=>A=k4_relset_1(A,B,C)))&(~B=k1_xboole_0|(A=k1_xboole_0|(v1_funct_2(C,A,B)<=>C=k1_xboole_0)))))),
% 0.15/0.42 inference(formula_renaming,[status(thm)],[f63,f64])).
% 0.15/0.42 fof(f66,plain,(
% 0.15/0.42 ![A,B,C]: (~m2_relset_1(C,A,B)|((pd0_0(B,A)|((~v1_funct_2(C,A,B)|A=k4_relset_1(A,B,C))&(v1_funct_2(C,A,B)|~A=k4_relset_1(A,B,C))))&(~B=k1_xboole_0|(A=k1_xboole_0|((~v1_funct_2(C,A,B)|C=k1_xboole_0)&(v1_funct_2(C,A,B)|~C=k1_xboole_0))))))),
% 0.15/0.42 inference(NNF_transformation,[status(esa)],[f65])).
% 0.15/0.42 fof(f68,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|pd0_0(X2,X1)|v1_funct_2(X0,X1,X2)|~X1=k4_relset_1(X1,X2,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f66])).
% 0.15/0.42 fof(f71,plain,(
% 0.15/0.42 ![A,B]: (~v1_relat_1(B)|(![C]: ((~v1_relat_1(C)|~v1_funct_1(C))|(C=k5_relset_2(A,B)<=>(k1_relat_1(C)=k1_zfmisc_1(A)&(![D]: (~r1_tarski(D,A)|k1_funct_1(C,D)=k9_relat_1(B,D))))))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.42 fof(f72,plain,(
% 0.15/0.42 ![A,B]: (~v1_relat_1(B)|(![C]: ((~v1_relat_1(C)|~v1_funct_1(C))|((~C=k5_relset_2(A,B)|(k1_relat_1(C)=k1_zfmisc_1(A)&(![D]: (~r1_tarski(D,A)|k1_funct_1(C,D)=k9_relat_1(B,D)))))&(C=k5_relset_2(A,B)|(~k1_relat_1(C)=k1_zfmisc_1(A)|(?[D]: (r1_tarski(D,A)&~k1_funct_1(C,D)=k9_relat_1(B,D)))))))))),
% 0.15/0.42 inference(NNF_transformation,[status(esa)],[f71])).
% 0.15/0.42 fof(f73,plain,(
% 0.15/0.42 ![B]: (~v1_relat_1(B)|(![C]: ((~v1_relat_1(C)|~v1_funct_1(C))|((![A]: (~C=k5_relset_2(A,B)|(k1_relat_1(C)=k1_zfmisc_1(A)&(![D]: (~r1_tarski(D,A)|k1_funct_1(C,D)=k9_relat_1(B,D))))))&(![A]: (C=k5_relset_2(A,B)|(~k1_relat_1(C)=k1_zfmisc_1(A)|(?[D]: (r1_tarski(D,A)&~k1_funct_1(C,D)=k9_relat_1(B,D))))))))))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f72])).
% 0.15/0.42 fof(f74,plain,(
% 0.15/0.42 ![B]: (~v1_relat_1(B)|(![C]: ((~v1_relat_1(C)|~v1_funct_1(C))|((![A]: (~C=k5_relset_2(A,B)|(k1_relat_1(C)=k1_zfmisc_1(A)&(![D]: (~r1_tarski(D,A)|k1_funct_1(C,D)=k9_relat_1(B,D))))))&(![A]: (C=k5_relset_2(A,B)|(~k1_relat_1(C)=k1_zfmisc_1(A)|(r1_tarski(sk0_3(A,C,B),A)&~k1_funct_1(C,sk0_3(A,C,B))=k9_relat_1(B,sk0_3(A,C,B))))))))))),
% 0.15/0.42 inference(skolemization,[status(esa)],[f73])).
% 0.15/0.42 fof(f75,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~v1_relat_1(X0)|~v1_relat_1(X1)|~v1_funct_1(X1)|~X1=k5_relset_2(X2,X0)|k1_relat_1(X1)=k1_zfmisc_1(X2))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.42 fof(f81,plain,(
% 0.15/0.42 ![A,B]: (~v1_relat_1(B)|(v1_relat_1(k5_relset_2(A,B))&v1_funct_1(k5_relset_2(A,B))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.42 fof(f82,plain,(
% 0.15/0.42 ![B]: (~v1_relat_1(B)|((![A]: v1_relat_1(k5_relset_2(A,B)))&(![A]: v1_funct_1(k5_relset_2(A,B)))))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f81])).
% 0.15/0.42 fof(f83,plain,(
% 0.15/0.42 ![X0,X1]: (~v1_relat_1(X0)|v1_relat_1(k5_relset_2(X1,X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.42 fof(f84,plain,(
% 0.15/0.42 ![X0,X1]: (~v1_relat_1(X0)|v1_funct_1(k5_relset_2(X1,X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f82])).
% 0.15/0.42 fof(f93,plain,(
% 0.15/0.42 v1_xboole_0(k1_xboole_0)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f23])).
% 0.15/0.42 fof(f96,plain,(
% 0.15/0.42 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.42 fof(f123,plain,(
% 0.15/0.42 (~v1_xboole_0(sk0_10)&v1_relat_1(sk0_10))),
% 0.15/0.42 inference(skolemization,[status(esa)],[f35])).
% 0.15/0.42 fof(f124,plain,(
% 0.15/0.42 ~v1_xboole_0(sk0_10)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f123])).
% 0.15/0.42 fof(f132,plain,(
% 0.15/0.42 ![A,B,C]: (~m1_relset_1(C,A,B)|k4_relset_1(A,B,C)=k1_relat_1(C))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.15/0.42 fof(f133,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~m1_relset_1(X0,X1,X2)|k4_relset_1(X1,X2,X0)=k1_relat_1(X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f132])).
% 0.15/0.42 fof(f134,plain,(
% 0.15/0.42 ![A,B,C]: ((~m2_relset_1(C,A,B)|m1_relset_1(C,A,B))&(m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 0.15/0.42 inference(NNF_transformation,[status(esa)],[f39])).
% 0.15/0.42 fof(f135,plain,(
% 0.15/0.42 (![A,B,C]: (~m2_relset_1(C,A,B)|m1_relset_1(C,A,B)))&(![A,B,C]: (m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f134])).
% 0.15/0.42 fof(f136,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f135])).
% 0.15/0.42 fof(f138,plain,(
% 0.15/0.42 ![A]: r1_tarski(A,A)),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f40])).
% 0.15/0.42 fof(f139,plain,(
% 0.15/0.42 ![X0]: (r1_tarski(X0,X0))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f138])).
% 0.15/0.42 fof(f140,plain,(
% 0.15/0.42 ![A,B,C]: (~v1_relat_1(C)|((~r1_tarski(k1_relat_1(C),A)|~r1_tarski(k2_relat_1(C),B))|m2_relset_1(C,A,B)))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.15/0.42 fof(f141,plain,(
% 0.15/0.42 ![C]: (~v1_relat_1(C)|(![A,B]: ((~r1_tarski(k1_relat_1(C),A)|~r1_tarski(k2_relat_1(C),B))|m2_relset_1(C,A,B))))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f140])).
% 0.15/0.42 fof(f142,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~v1_relat_1(X0)|~r1_tarski(k1_relat_1(X0),X1)|~r1_tarski(k2_relat_1(X0),X2)|m2_relset_1(X0,X1,X2))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f141])).
% 0.15/0.42 fof(f145,plain,(
% 0.15/0.42 ![A,B,C]: (~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|r1_tarski(k2_relat_1(k5_relset_2(A,C)),k1_zfmisc_1(k2_relat_1(C))))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.15/0.42 fof(f146,plain,(
% 0.15/0.42 ![A,C]: ((![B]: ~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))|r1_tarski(k2_relat_1(k5_relset_2(A,C)),k1_zfmisc_1(k2_relat_1(C))))),
% 0.15/0.42 inference(miniscoping,[status(esa)],[f145])).
% 0.15/0.42 fof(f147,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|r1_tarski(k2_relat_1(k5_relset_2(X1,X0)),k1_zfmisc_1(k2_relat_1(X0))))),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f146])).
% 0.15/0.42 fof(f168,plain,(
% 0.15/0.42 ![A,B]: (~pd0_0(B,A)|(B=k1_xboole_0&~A=k1_xboole_0))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 0.15/0.42 fof(f169,plain,(
% 0.15/0.42 ![X0,X1]: (~pd0_0(X0,X1)|X0=k1_xboole_0)),
% 0.15/0.42 inference(cnf_transformation,[status(esa)],[f168])).
% 0.15/0.42 fof(f171,plain,(
% 0.15/0.42 spl0_0 <=> v1_funct_1(k5_relset_2(sk0_0,sk0_1))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f173,plain,(
% 0.15/0.42 ~v1_funct_1(k5_relset_2(sk0_0,sk0_1))|spl0_0),
% 0.15/0.42 inference(component_clause,[status(thm)],[f171])).
% 0.15/0.42 fof(f174,plain,(
% 0.15/0.42 spl0_1 <=> v1_funct_2(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f176,plain,(
% 0.15/0.42 ~v1_funct_2(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))|spl0_1),
% 0.15/0.42 inference(component_clause,[status(thm)],[f174])).
% 0.15/0.42 fof(f177,plain,(
% 0.15/0.42 spl0_2 <=> m2_relset_1(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f178,plain,(
% 0.15/0.42 m2_relset_1(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))|~spl0_2),
% 0.15/0.42 inference(component_clause,[status(thm)],[f177])).
% 0.15/0.42 fof(f179,plain,(
% 0.15/0.42 ~m2_relset_1(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))|spl0_2),
% 0.15/0.42 inference(component_clause,[status(thm)],[f177])).
% 0.15/0.42 fof(f180,plain,(
% 0.15/0.42 ~spl0_0|~spl0_1|~spl0_2),
% 0.15/0.42 inference(split_clause,[status(thm)],[f55,f171,f174,f177])).
% 0.15/0.42 fof(f183,plain,(
% 0.15/0.42 ![X0,X1]: (~v1_relat_1(X0)|~v1_relat_1(k5_relset_2(X1,X0))|~v1_funct_1(k5_relset_2(X1,X0))|k1_relat_1(k5_relset_2(X1,X0))=k1_zfmisc_1(X1))),
% 0.15/0.42 inference(destructive_equality_resolution,[status(esa)],[f75])).
% 0.15/0.42 fof(f186,plain,(
% 0.15/0.42 ![X0,X1]: (~v1_relat_1(X0)|~v1_funct_1(k5_relset_2(X1,X0))|k1_relat_1(k5_relset_2(X1,X0))=k1_zfmisc_1(X1))),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f183,f83])).
% 0.15/0.42 fof(f187,plain,(
% 0.15/0.42 ![X0,X1]: (~v1_relat_1(X0)|k1_relat_1(k5_relset_2(X1,X0))=k1_zfmisc_1(X1)|~v1_relat_1(X0))),
% 0.15/0.42 inference(resolution,[status(thm)],[f186,f84])).
% 0.15/0.42 fof(f188,plain,(
% 0.15/0.42 ![X0,X1]: (~v1_relat_1(X0)|k1_relat_1(k5_relset_2(X1,X0))=k1_zfmisc_1(X1))),
% 0.15/0.42 inference(duplicate_literals_removal,[status(esa)],[f187])).
% 0.15/0.42 fof(f192,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (k1_relat_1(k5_relset_2(X0,X1))=k1_zfmisc_1(X0)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))))),
% 0.15/0.42 inference(resolution,[status(thm)],[f188,f62])).
% 0.15/0.42 fof(f200,plain,(
% 0.15/0.42 ![X0]: (k1_relat_1(k5_relset_2(X0,sk0_1))=k1_zfmisc_1(X0))),
% 0.15/0.42 inference(resolution,[status(thm)],[f192,f54])).
% 0.15/0.42 fof(f211,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (~v1_relat_1(k5_relset_2(X0,X1))|~r1_tarski(k1_relat_1(k5_relset_2(X0,X1)),X2)|m2_relset_1(k5_relset_2(X0,X1),X2,k1_zfmisc_1(k2_relat_1(X1)))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X3))))),
% 0.15/0.42 inference(resolution,[status(thm)],[f142,f147])).
% 0.15/0.42 fof(f212,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (~r1_tarski(k1_relat_1(k5_relset_2(X0,X1)),X2)|m2_relset_1(k5_relset_2(X0,X1),X2,k1_zfmisc_1(k2_relat_1(X1)))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X3)))|~v1_relat_1(X1))),
% 0.15/0.42 inference(resolution,[status(thm)],[f211,f83])).
% 0.15/0.42 fof(f213,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (~r1_tarski(k1_relat_1(k5_relset_2(X0,X1)),X2)|m2_relset_1(k5_relset_2(X0,X1),X2,k1_zfmisc_1(k2_relat_1(X1)))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X3))))),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f212,f62])).
% 0.15/0.42 fof(f215,plain,(
% 0.15/0.42 spl0_3 <=> r1_tarski(k1_relat_1(k5_relset_2(sk0_0,sk0_1)),k1_zfmisc_1(sk0_0))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f217,plain,(
% 0.15/0.42 ~r1_tarski(k1_relat_1(k5_relset_2(sk0_0,sk0_1)),k1_zfmisc_1(sk0_0))|spl0_3),
% 0.15/0.42 inference(component_clause,[status(thm)],[f215])).
% 0.15/0.42 fof(f218,plain,(
% 0.15/0.42 spl0_4 <=> ~m1_subset_1(sk0_1,k1_zfmisc_1(k2_zfmisc_1(sk0_0,X0)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f219,plain,(
% 0.15/0.42 ![X0]: (~m1_subset_1(sk0_1,k1_zfmisc_1(k2_zfmisc_1(sk0_0,X0)))|~spl0_4)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f218])).
% 0.15/0.42 fof(f221,plain,(
% 0.15/0.42 ![X0]: (~r1_tarski(k1_relat_1(k5_relset_2(sk0_0,sk0_1)),k1_zfmisc_1(sk0_0))|~m1_subset_1(sk0_1,k1_zfmisc_1(k2_zfmisc_1(sk0_0,X0)))|spl0_2)),
% 0.15/0.42 inference(resolution,[status(thm)],[f213,f179])).
% 0.15/0.42 fof(f222,plain,(
% 0.15/0.42 ~spl0_3|spl0_4|spl0_2),
% 0.15/0.42 inference(split_clause,[status(thm)],[f221,f215,f218,f177])).
% 0.15/0.42 fof(f224,plain,(
% 0.15/0.42 ~r1_tarski(k1_zfmisc_1(sk0_0),k1_zfmisc_1(sk0_0))|spl0_3),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f200,f217])).
% 0.15/0.42 fof(f427,plain,(
% 0.15/0.42 $false|spl0_3),
% 0.15/0.42 inference(backward_subsumption_resolution,[status(thm)],[f224,f139])).
% 0.15/0.42 fof(f428,plain,(
% 0.15/0.42 spl0_3),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f427])).
% 0.15/0.42 fof(f524,plain,(
% 0.15/0.42 spl0_7 <=> v1_xboole_0(k1_xboole_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f526,plain,(
% 0.15/0.42 ~v1_xboole_0(k1_xboole_0)|spl0_7),
% 0.15/0.42 inference(component_clause,[status(thm)],[f524])).
% 0.15/0.42 fof(f533,plain,(
% 0.15/0.42 $false|spl0_7),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f526,f93])).
% 0.15/0.42 fof(f534,plain,(
% 0.15/0.42 spl0_7),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f533])).
% 0.15/0.42 fof(f557,plain,(
% 0.15/0.42 ![X0,X1,X2]: (k4_relset_1(X0,X1,X2)=k1_relat_1(X2)|~m2_relset_1(X2,X0,X1))),
% 0.15/0.42 inference(resolution,[status(thm)],[f133,f136])).
% 0.15/0.42 fof(f577,plain,(
% 0.15/0.42 spl0_10 <=> v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_2)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f578,plain,(
% 0.15/0.42 v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_2)))|~spl0_10),
% 0.15/0.42 inference(component_clause,[status(thm)],[f577])).
% 0.15/0.42 fof(f598,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|v1_funct_2(X0,X1,X2)|~X1=k4_relset_1(X1,X2,X0)|X2=k1_xboole_0)),
% 0.15/0.42 inference(resolution,[status(thm)],[f68,f169])).
% 0.15/0.42 fof(f644,plain,(
% 0.15/0.42 $false|~spl0_4),
% 0.15/0.42 inference(backward_subsumption_resolution,[status(thm)],[f54,f219])).
% 0.15/0.42 fof(f645,plain,(
% 0.15/0.42 ~spl0_4),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f644])).
% 0.15/0.42 fof(f646,plain,(
% 0.15/0.42 ~v1_relat_1(sk0_1)|spl0_0),
% 0.15/0.42 inference(resolution,[status(thm)],[f173,f84])).
% 0.15/0.42 fof(f647,plain,(
% 0.15/0.42 ![X0,X1]: (~m1_subset_1(sk0_1,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))|spl0_0)),
% 0.15/0.42 inference(resolution,[status(thm)],[f646,f62])).
% 0.15/0.42 fof(f649,plain,(
% 0.15/0.42 $false|spl0_0),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f54,f647])).
% 0.15/0.42 fof(f650,plain,(
% 0.15/0.42 spl0_0),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f649])).
% 0.15/0.42 fof(f651,plain,(
% 0.15/0.42 k4_relset_1(k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)),k5_relset_2(sk0_0,sk0_1))=k1_relat_1(k5_relset_2(sk0_0,sk0_1))|~spl0_2),
% 0.15/0.42 inference(resolution,[status(thm)],[f178,f557])).
% 0.15/0.42 fof(f652,plain,(
% 0.15/0.42 k4_relset_1(k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)),k5_relset_2(sk0_0,sk0_1))=k1_zfmisc_1(sk0_0)|~spl0_2),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f200,f651])).
% 0.15/0.42 fof(f663,plain,(
% 0.15/0.42 spl0_17 <=> v1_relat_1(k5_relset_2(sk0_0,sk0_1))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f665,plain,(
% 0.15/0.42 ~v1_relat_1(k5_relset_2(sk0_0,sk0_1))|spl0_17),
% 0.15/0.42 inference(component_clause,[status(thm)],[f663])).
% 0.15/0.42 fof(f668,plain,(
% 0.15/0.42 ~v1_relat_1(sk0_1)|spl0_17),
% 0.15/0.42 inference(resolution,[status(thm)],[f665,f83])).
% 0.15/0.42 fof(f670,plain,(
% 0.15/0.42 ![X0,X1]: (~m1_subset_1(sk0_1,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))|spl0_17)),
% 0.15/0.42 inference(resolution,[status(thm)],[f668,f62])).
% 0.15/0.42 fof(f673,plain,(
% 0.15/0.42 $false|spl0_17),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f54,f670])).
% 0.15/0.42 fof(f674,plain,(
% 0.15/0.42 spl0_17),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f673])).
% 0.15/0.42 fof(f703,plain,(
% 0.15/0.42 spl0_20 <=> v1_relat_1(sk0_1)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f705,plain,(
% 0.15/0.42 ~v1_relat_1(sk0_1)|spl0_20),
% 0.15/0.42 inference(component_clause,[status(thm)],[f703])).
% 0.15/0.42 fof(f711,plain,(
% 0.15/0.42 ![X0,X1]: (~m1_subset_1(sk0_1,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))|spl0_20)),
% 0.15/0.42 inference(resolution,[status(thm)],[f705,f62])).
% 0.15/0.42 fof(f712,plain,(
% 0.15/0.42 $false|spl0_20),
% 0.15/0.42 inference(backward_subsumption_resolution,[status(thm)],[f54,f711])).
% 0.15/0.42 fof(f713,plain,(
% 0.15/0.42 spl0_20),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f712])).
% 0.15/0.42 fof(f740,plain,(
% 0.15/0.42 spl0_24 <=> k1_zfmisc_1(sk0_0)=k1_zfmisc_1(sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f742,plain,(
% 0.15/0.42 ~k1_zfmisc_1(sk0_0)=k1_zfmisc_1(sk0_0)|spl0_24),
% 0.15/0.42 inference(component_clause,[status(thm)],[f740])).
% 0.15/0.42 fof(f743,plain,(
% 0.15/0.42 spl0_25 <=> k1_relat_1(k5_relset_2(sk0_0,sk0_1))=k1_zfmisc_1(sk0_0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f745,plain,(
% 0.15/0.42 ~k1_relat_1(k5_relset_2(sk0_0,sk0_1))=k1_zfmisc_1(sk0_0)|spl0_25),
% 0.15/0.42 inference(component_clause,[status(thm)],[f743])).
% 0.15/0.42 fof(f749,plain,(
% 0.15/0.42 ~k1_zfmisc_1(sk0_0)=k1_zfmisc_1(sk0_0)|spl0_25),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f200,f745])).
% 0.15/0.42 fof(f750,plain,(
% 0.15/0.42 $false|spl0_25),
% 0.15/0.42 inference(trivial_equality_resolution,[status(esa)],[f749])).
% 0.15/0.42 fof(f751,plain,(
% 0.15/0.42 spl0_25),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f750])).
% 0.15/0.42 fof(f752,plain,(
% 0.15/0.42 $false|spl0_24),
% 0.15/0.42 inference(trivial_equality_resolution,[status(esa)],[f742])).
% 0.15/0.42 fof(f753,plain,(
% 0.15/0.42 spl0_24),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f752])).
% 0.15/0.42 fof(f928,plain,(
% 0.15/0.42 spl0_29 <=> v1_xboole_0(X0)),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f929,plain,(
% 0.15/0.42 ![X0]: (v1_xboole_0(X0)|~spl0_29)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f928])).
% 0.15/0.42 fof(f1009,plain,(
% 0.15/0.42 $false|~spl0_29),
% 0.15/0.42 inference(backward_subsumption_resolution,[status(thm)],[f124,f929])).
% 0.15/0.42 fof(f1010,plain,(
% 0.15/0.42 ~spl0_29),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f1009])).
% 0.15/0.42 fof(f1096,plain,(
% 0.15/0.42 $false|~spl0_10),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f578,f96])).
% 0.15/0.42 fof(f1097,plain,(
% 0.15/0.42 ~spl0_10),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f1096])).
% 0.15/0.42 fof(f1148,plain,(
% 0.15/0.42 spl0_32 <=> v1_xboole_0(k1_zfmisc_1(sk0_0))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f1149,plain,(
% 0.15/0.42 v1_xboole_0(k1_zfmisc_1(sk0_0))|~spl0_32),
% 0.15/0.42 inference(component_clause,[status(thm)],[f1148])).
% 0.15/0.42 fof(f1151,plain,(
% 0.15/0.42 spl0_33 <=> v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(sk0_0)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f1152,plain,(
% 0.15/0.42 v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(sk0_0)))|~spl0_33),
% 0.15/0.42 inference(component_clause,[status(thm)],[f1151])).
% 0.15/0.42 fof(f1161,plain,(
% 0.15/0.42 $false|~spl0_33),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1152,f96])).
% 0.15/0.42 fof(f1162,plain,(
% 0.15/0.42 ~spl0_33),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f1161])).
% 0.15/0.42 fof(f1199,plain,(
% 0.15/0.42 $false|~spl0_32),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1149,f96])).
% 0.15/0.42 fof(f1200,plain,(
% 0.15/0.42 ~spl0_32),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f1199])).
% 0.15/0.42 fof(f1743,plain,(
% 0.15/0.42 spl0_49 <=> v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(k1_xboole_0)))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f1744,plain,(
% 0.15/0.42 v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(k1_xboole_0)))|~spl0_49),
% 0.15/0.42 inference(component_clause,[status(thm)],[f1743])).
% 0.15/0.42 fof(f1753,plain,(
% 0.15/0.42 $false|~spl0_49),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1744,f96])).
% 0.15/0.42 fof(f1754,plain,(
% 0.15/0.42 ~spl0_49),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f1753])).
% 0.15/0.42 fof(f1755,plain,(
% 0.15/0.42 spl0_51 <=> k1_zfmisc_1(sk0_0)=k4_relset_1(k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)),k5_relset_2(sk0_0,sk0_1))),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f1757,plain,(
% 0.15/0.42 ~k1_zfmisc_1(sk0_0)=k4_relset_1(k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)),k5_relset_2(sk0_0,sk0_1))|spl0_51),
% 0.15/0.42 inference(component_clause,[status(thm)],[f1755])).
% 0.15/0.42 fof(f1758,plain,(
% 0.15/0.42 spl0_52 <=> k1_zfmisc_1(k2_relat_1(sk0_1))=k1_xboole_0),
% 0.15/0.42 introduced(split_symbol_definition)).
% 0.15/0.42 fof(f1759,plain,(
% 0.15/0.42 k1_zfmisc_1(k2_relat_1(sk0_1))=k1_xboole_0|~spl0_52),
% 0.15/0.42 inference(component_clause,[status(thm)],[f1758])).
% 0.15/0.42 fof(f1761,plain,(
% 0.15/0.42 ~m2_relset_1(k5_relset_2(sk0_0,sk0_1),k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)))|~k1_zfmisc_1(sk0_0)=k4_relset_1(k1_zfmisc_1(sk0_0),k1_zfmisc_1(k2_relat_1(sk0_1)),k5_relset_2(sk0_0,sk0_1))|k1_zfmisc_1(k2_relat_1(sk0_1))=k1_xboole_0|spl0_1),
% 0.15/0.42 inference(resolution,[status(thm)],[f598,f176])).
% 0.15/0.42 fof(f1762,plain,(
% 0.15/0.42 ~spl0_2|~spl0_51|spl0_52|spl0_1),
% 0.15/0.42 inference(split_clause,[status(thm)],[f1761,f177,f1755,f1758,f174])).
% 0.15/0.42 fof(f2106,plain,(
% 0.15/0.42 ~k1_zfmisc_1(sk0_0)=k1_zfmisc_1(sk0_0)|~spl0_2|spl0_51),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f652,f1757])).
% 0.15/0.42 fof(f2107,plain,(
% 0.15/0.42 $false|~spl0_2|spl0_51),
% 0.15/0.42 inference(trivial_equality_resolution,[status(esa)],[f2106])).
% 0.15/0.42 fof(f2108,plain,(
% 0.15/0.42 ~spl0_2|spl0_51),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f2107])).
% 0.15/0.42 fof(f2188,plain,(
% 0.15/0.42 ~v1_xboole_0(k1_xboole_0)|~spl0_52),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f1759,f96])).
% 0.15/0.42 fof(f2189,plain,(
% 0.15/0.42 ~spl0_7|~spl0_52),
% 0.15/0.42 inference(split_clause,[status(thm)],[f2188,f524,f1758])).
% 0.15/0.42 fof(f2191,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(sat_refutation,[status(thm)],[f180,f222,f428,f534,f645,f650,f674,f713,f751,f753,f1010,f1097,f1162,f1200,f1754,f1762,f2108,f2189])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.137467 seconds
% 0.15/0.44 % CPU time: 0.407780 seconds
% 0.15/0.44 % Memory used: 42.256 MB
%------------------------------------------------------------------------------