TSTP Solution File: SEU430+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU430+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:37:04 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU430+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:34:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,conjecture,(
% 0.13/0.36 (! [A,B] :( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))=> ( k5_setfam_1(A,B) = k1_xboole_0<=> (! [C] :( r2_hidden(C,B)=> C = k1_xboole_0 ) )) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,negated_conjecture,(
% 0.13/0.36 ~((! [A,B] :( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))=> ( k5_setfam_1(A,B) = k1_xboole_0<=> (! [C] :( r2_hidden(C,B)=> C = k1_xboole_0 ) )) ) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.36 fof(f3,axiom,(
% 0.13/0.36 (! [A,B] :( r2_hidden(A,B)=> ~ r2_hidden(B,A) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f5,axiom,(
% 0.13/0.36 (! [A] :( A = k1_xboole_0<=> (! [B] : ~ r2_hidden(B,A) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (! [A,B] :( B = k3_tarski(A)<=> (! [C] :( r2_hidden(C,B)<=> (? [D] :( r2_hidden(C,D)& r2_hidden(D,A) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f10,axiom,(
% 0.13/0.36 (! [A,B] :( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))=> m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f12,axiom,(
% 0.13/0.36 (! [A] :(? [B] : m1_subset_1(B,A) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f13,axiom,(
% 0.13/0.36 ( v1_xboole_0(k1_xboole_0)& v1_relat_1(k1_xboole_0)& v3_relat_1(k1_xboole_0) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f14,axiom,(
% 0.13/0.36 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f19,axiom,(
% 0.13/0.36 (! [A] :(? [B] :( m1_subset_1(B,k1_zfmisc_1(A))& v1_xboole_0(B) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f21,axiom,(
% 0.13/0.36 (! [A,B] :( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))=> k5_setfam_1(A,B) = k3_tarski(B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f22,axiom,(
% 0.13/0.36 (! [A,B] : r1_tarski(A,A) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f23,axiom,(
% 0.13/0.36 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f24,axiom,(
% 0.13/0.36 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f25,axiom,(
% 0.13/0.36 (! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f26,axiom,(
% 0.13/0.36 (! [A,B,C] :( ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C)) )=> m1_subset_1(A,C) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f27,axiom,(
% 0.13/0.36 (! [A,B,C] :~ ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C))& v1_xboole_0(C) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f28,axiom,(
% 0.13/0.36 (! [A] :( v1_xboole_0(A)=> A = k1_xboole_0 ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 (?[A,B]: (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))&(k5_setfam_1(A,B)=k1_xboole_0<~>(![C]: (~r2_hidden(C,B)|C=k1_xboole_0)))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ?[A,B]: (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))&((k5_setfam_1(A,B)=k1_xboole_0|(![C]: (~r2_hidden(C,B)|C=k1_xboole_0)))&(~k5_setfam_1(A,B)=k1_xboole_0|(?[C]: (r2_hidden(C,B)&~C=k1_xboole_0)))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f31])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 (m1_subset_1(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))&((k5_setfam_1(sk0_0,sk0_1)=k1_xboole_0|(![C]: (~r2_hidden(C,sk0_1)|C=k1_xboole_0)))&(~k5_setfam_1(sk0_0,sk0_1)=k1_xboole_0|(r2_hidden(sk0_2,sk0_1)&~sk0_2=k1_xboole_0))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f32])).
% 0.13/0.36 fof(f34,plain,(
% 0.13/0.36 m1_subset_1(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 ![X0]: (k5_setfam_1(sk0_0,sk0_1)=k1_xboole_0|~r2_hidden(X0,sk0_1)|X0=k1_xboole_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ~k5_setfam_1(sk0_0,sk0_1)=k1_xboole_0|r2_hidden(sk0_2,sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.36 fof(f37,plain,(
% 0.13/0.36 ~k5_setfam_1(sk0_0,sk0_1)=k1_xboole_0|~sk0_2=k1_xboole_0),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 ![A,B]: (~r2_hidden(A,B)|~r2_hidden(B,A))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 ![X0,X1]: (~r2_hidden(X0,X1)|~r2_hidden(X1,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f38])).
% 0.13/0.36 fof(f42,plain,(
% 0.13/0.36 ![A]: ((~A=k1_xboole_0|(![B]: ~r2_hidden(B,A)))&(A=k1_xboole_0|(?[B]: r2_hidden(B,A))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f5])).
% 0.13/0.36 fof(f43,plain,(
% 0.13/0.36 (![A]: (~A=k1_xboole_0|(![B]: ~r2_hidden(B,A))))&(![A]: (A=k1_xboole_0|(?[B]: r2_hidden(B,A))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f42])).
% 0.13/0.36 fof(f44,plain,(
% 0.13/0.36 (![A]: (~A=k1_xboole_0|(![B]: ~r2_hidden(B,A))))&(![A]: (A=k1_xboole_0|r2_hidden(sk0_3(A),A)))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f43])).
% 0.13/0.36 fof(f45,plain,(
% 0.13/0.36 ![X0,X1]: (~X0=k1_xboole_0|~r2_hidden(X1,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.36 fof(f46,plain,(
% 0.13/0.36 ![X0]: (X0=k1_xboole_0|r2_hidden(sk0_3(X0),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 ![A,B]: ((~B=k3_tarski(A)|(![C]: ((~r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))&(r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A)))))))&(B=k3_tarski(A)|(?[C]: ((~r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))&(r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 (![A,B]: (~B=k3_tarski(A)|((![C]: (~r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A)))))&(![C]: (r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))))))&(![A,B]: (B=k3_tarski(A)|(?[C]: ((~r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))&(r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f47])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 (![A,B]: (~B=k3_tarski(A)|((![C]: (~r2_hidden(C,B)|(r2_hidden(C,sk0_4(C,B,A))&r2_hidden(sk0_4(C,B,A),A))))&(![C]: (r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))))))&(![A,B]: (B=k3_tarski(A)|((~r2_hidden(sk0_5(B,A),B)|(![D]: (~r2_hidden(sk0_5(B,A),D)|~r2_hidden(D,A))))&(r2_hidden(sk0_5(B,A),B)|(r2_hidden(sk0_5(B,A),sk0_6(B,A))&r2_hidden(sk0_6(B,A),A))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f48])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~X0=k3_tarski(X1)|~r2_hidden(X2,X0)|r2_hidden(sk0_4(X2,X0,X1),X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~X0=k3_tarski(X1)|r2_hidden(X2,X0)|~r2_hidden(X2,X3)|~r2_hidden(X3,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.36 fof(f54,plain,(
% 0.13/0.36 ![X0,X1]: (X0=k3_tarski(X1)|r2_hidden(sk0_5(X0,X1),X0)|r2_hidden(sk0_5(X0,X1),sk0_6(X0,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.36 fof(f55,plain,(
% 0.13/0.36 ![X0,X1]: (X0=k3_tarski(X1)|r2_hidden(sk0_5(X0,X1),X0)|r2_hidden(sk0_6(X0,X1),X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.36 fof(f56,plain,(
% 0.13/0.36 ![A,B]: (~m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))|m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.36 fof(f57,plain,(
% 0.13/0.36 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))|m1_subset_1(k5_setfam_1(X1,X0),k1_zfmisc_1(X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f56])).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 ![A]: m1_subset_1(sk0_7(A),A)),
% 0.13/0.36 inference(skolemization,[status(esa)],[f12])).
% 0.13/0.36 fof(f59,plain,(
% 0.13/0.36 ![X0]: (m1_subset_1(sk0_7(X0),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f58])).
% 0.13/0.36 fof(f60,plain,(
% 0.13/0.36 v1_xboole_0(k1_xboole_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f63,plain,(
% 0.13/0.36 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.36 fof(f76,plain,(
% 0.13/0.36 ![A]: (m1_subset_1(sk0_11(A),k1_zfmisc_1(A))&v1_xboole_0(sk0_11(A)))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f19])).
% 0.13/0.36 fof(f77,plain,(
% 0.13/0.36 ![X0]: (m1_subset_1(sk0_11(X0),k1_zfmisc_1(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f76])).
% 0.13/0.36 fof(f78,plain,(
% 0.13/0.36 ![X0]: (v1_xboole_0(sk0_11(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f76])).
% 0.13/0.36 fof(f82,plain,(
% 0.13/0.36 ![A,B]: (~m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))|k5_setfam_1(A,B)=k3_tarski(B))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.13/0.36 fof(f83,plain,(
% 0.13/0.36 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))|k5_setfam_1(X1,X0)=k3_tarski(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f82])).
% 0.13/0.36 fof(f84,plain,(
% 0.13/0.36 ![A]: r1_tarski(A,A)),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f22])).
% 0.13/0.36 fof(f85,plain,(
% 0.13/0.36 ![X0]: (r1_tarski(X0,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f84])).
% 0.13/0.36 fof(f86,plain,(
% 0.13/0.36 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.13/0.36 fof(f87,plain,(
% 0.13/0.36 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f86])).
% 0.13/0.36 fof(f88,plain,(
% 0.13/0.36 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.13/0.36 fof(f89,plain,(
% 0.13/0.36 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f88])).
% 0.13/0.36 fof(f90,plain,(
% 0.13/0.36 ![A,B]: ((~m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B))&(m1_subset_1(A,k1_zfmisc_1(B))|~r1_tarski(A,B)))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f25])).
% 0.13/0.36 fof(f91,plain,(
% 0.13/0.36 (![A,B]: (~m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B)))&(![A,B]: (m1_subset_1(A,k1_zfmisc_1(B))|~r1_tarski(A,B)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f90])).
% 0.13/0.36 fof(f93,plain,(
% 0.13/0.36 ![X0,X1]: (m1_subset_1(X0,k1_zfmisc_1(X1))|~r1_tarski(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f91])).
% 0.13/0.36 fof(f94,plain,(
% 0.13/0.36 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|m1_subset_1(A,C))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.13/0.36 fof(f95,plain,(
% 0.13/0.36 ![A,C]: ((![B]: (~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C))))|m1_subset_1(A,C))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f94])).
% 0.13/0.36 fof(f96,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|m1_subset_1(X0,X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f95])).
% 0.13/0.36 fof(f97,plain,(
% 0.13/0.36 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|~v1_xboole_0(C))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.13/0.36 fof(f98,plain,(
% 0.13/0.36 ![C]: ((![B]: ((![A]: ~r2_hidden(A,B))|~m1_subset_1(B,k1_zfmisc_1(C))))|~v1_xboole_0(C))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f97])).
% 0.13/0.36 fof(f99,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|~v1_xboole_0(X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f98])).
% 0.13/0.36 fof(f100,plain,(
% 0.13/0.36 ![A]: (~v1_xboole_0(A)|A=k1_xboole_0)),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.13/0.36 fof(f101,plain,(
% 0.13/0.36 ![X0]: (~v1_xboole_0(X0)|X0=k1_xboole_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.36 fof(f108,plain,(
% 0.13/0.36 spl0_0 <=> k5_setfam_1(sk0_0,sk0_1)=k1_xboole_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f109,plain,(
% 0.13/0.36 k5_setfam_1(sk0_0,sk0_1)=k1_xboole_0|~spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.36 fof(f110,plain,(
% 0.13/0.36 ~k5_setfam_1(sk0_0,sk0_1)=k1_xboole_0|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.36 fof(f111,plain,(
% 0.13/0.36 spl0_1 <=> ~r2_hidden(X0,sk0_1)|X0=k1_xboole_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f112,plain,(
% 0.13/0.36 ![X0]: (~r2_hidden(X0,sk0_1)|X0=k1_xboole_0|~spl0_1)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f111])).
% 0.13/0.36 fof(f114,plain,(
% 0.13/0.36 spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f35,f108,f111])).
% 0.13/0.36 fof(f115,plain,(
% 0.13/0.36 spl0_2 <=> r2_hidden(sk0_2,sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f116,plain,(
% 0.13/0.36 r2_hidden(sk0_2,sk0_1)|~spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.36 fof(f118,plain,(
% 0.13/0.36 ~spl0_0|spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f36,f108,f115])).
% 0.13/0.36 fof(f119,plain,(
% 0.13/0.36 spl0_3 <=> sk0_2=k1_xboole_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f121,plain,(
% 0.13/0.36 ~sk0_2=k1_xboole_0|spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f119])).
% 0.13/0.36 fof(f122,plain,(
% 0.13/0.36 ~spl0_0|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f37,f108,f119])).
% 0.13/0.36 fof(f123,plain,(
% 0.13/0.36 ![X0]: (~r2_hidden(X0,k1_xboole_0))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f45])).
% 0.13/0.36 fof(f125,plain,(
% 0.13/0.36 ![X0,X1]: (~r2_hidden(X0,k3_tarski(X1))|r2_hidden(sk0_4(X0,k3_tarski(X1),X1),X1))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f51])).
% 0.13/0.36 fof(f126,plain,(
% 0.13/0.36 ![X0,X1,X2]: (r2_hidden(X0,k3_tarski(X1))|~r2_hidden(X0,X2)|~r2_hidden(X2,X1))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f52])).
% 0.13/0.36 fof(f127,plain,(
% 0.13/0.36 spl0_4 <=> v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(sk0_0)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f128,plain,(
% 0.13/0.36 v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(sk0_0)))|~spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f127])).
% 0.13/0.36 fof(f130,plain,(
% 0.13/0.36 spl0_5 <=> r2_hidden(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f131,plain,(
% 0.13/0.36 r2_hidden(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))|~spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f130])).
% 0.13/0.36 fof(f133,plain,(
% 0.13/0.36 v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(sk0_0)))|r2_hidden(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f89,f34])).
% 0.13/0.36 fof(f134,plain,(
% 0.13/0.36 spl0_4|spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f133,f127,f130])).
% 0.13/0.36 fof(f135,plain,(
% 0.13/0.36 $false|~spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f128,f63])).
% 0.13/0.36 fof(f136,plain,(
% 0.13/0.36 ~spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f135])).
% 0.13/0.36 fof(f137,plain,(
% 0.13/0.36 k5_setfam_1(sk0_0,sk0_1)=k3_tarski(sk0_1)),
% 0.13/0.36 inference(resolution,[status(thm)],[f83,f34])).
% 0.13/0.36 fof(f138,plain,(
% 0.13/0.36 m1_subset_1(k5_setfam_1(sk0_0,sk0_1),k1_zfmisc_1(sk0_0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f57,f34])).
% 0.13/0.36 fof(f139,plain,(
% 0.13/0.36 m1_subset_1(k3_tarski(sk0_1),k1_zfmisc_1(sk0_0))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f137,f138])).
% 0.13/0.36 fof(f140,plain,(
% 0.13/0.36 spl0_6 <=> v1_xboole_0(k1_zfmisc_1(sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f141,plain,(
% 0.13/0.36 v1_xboole_0(k1_zfmisc_1(sk0_0))|~spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f140])).
% 0.13/0.36 fof(f143,plain,(
% 0.13/0.36 spl0_7 <=> r2_hidden(k3_tarski(sk0_1),k1_zfmisc_1(sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f146,plain,(
% 0.13/0.36 v1_xboole_0(k1_zfmisc_1(sk0_0))|r2_hidden(k3_tarski(sk0_1),k1_zfmisc_1(sk0_0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f139,f89])).
% 0.13/0.36 fof(f147,plain,(
% 0.13/0.36 spl0_6|spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f146,f140,f143])).
% 0.13/0.36 fof(f148,plain,(
% 0.13/0.36 $false|~spl0_6),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f141,f63])).
% 0.13/0.36 fof(f149,plain,(
% 0.13/0.36 ~spl0_6),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f148])).
% 0.13/0.36 fof(f150,plain,(
% 0.13/0.36 ![X0,X1]: (X0=k1_xboole_0|~m1_subset_1(X0,k1_zfmisc_1(X1))|m1_subset_1(sk0_3(X0),X1))),
% 0.13/0.36 inference(resolution,[status(thm)],[f46,f96])).
% 0.13/0.36 fof(f151,plain,(
% 0.13/0.36 ![X0,X1]: (X0=k1_xboole_0|~m1_subset_1(X0,k1_zfmisc_1(X1))|~v1_xboole_0(X1))),
% 0.13/0.36 inference(resolution,[status(thm)],[f46,f99])).
% 0.13/0.36 fof(f152,plain,(
% 0.13/0.36 ![X0]: (X0=k1_xboole_0|m1_subset_1(sk0_3(X0),X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f46,f87])).
% 0.13/0.36 fof(f157,plain,(
% 0.13/0.36 ![X0]: (sk0_11(X0)=k1_xboole_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f78,f101])).
% 0.13/0.36 fof(f161,plain,(
% 0.13/0.36 ![X0]: (v1_xboole_0(X0)|r2_hidden(sk0_7(X0),X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f59,f89])).
% 0.13/0.36 fof(f164,plain,(
% 0.13/0.36 ![X0]: (r2_hidden(sk0_4(sk0_3(k3_tarski(X0)),k3_tarski(X0),X0),X0)|k3_tarski(X0)=k1_xboole_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f125,f46])).
% 0.13/0.36 fof(f165,plain,(
% 0.13/0.36 ![X0,X1]: (r2_hidden(X0,k3_tarski(X1))|~r2_hidden(X0,sk0_3(X1))|X1=k1_xboole_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f126,f46])).
% 0.13/0.36 fof(f166,plain,(
% 0.13/0.36 ![X0]: (r2_hidden(X0,k3_tarski(sk0_1))|~r2_hidden(X0,sk0_2)|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f116,f126])).
% 0.13/0.36 fof(f171,plain,(
% 0.13/0.36 spl0_8 <=> v1_xboole_0(sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f172,plain,(
% 0.13/0.36 v1_xboole_0(sk0_1)|~spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f171])).
% 0.13/0.36 fof(f176,plain,(
% 0.13/0.36 k3_tarski(sk0_1)=k1_xboole_0|~spl0_0),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f137,f109])).
% 0.13/0.36 fof(f183,plain,(
% 0.13/0.36 ![X0]: (r2_hidden(X0,k3_tarski(k1_zfmisc_1(k1_zfmisc_1(sk0_0))))|~r2_hidden(X0,sk0_1)|~spl0_5)),
% 0.13/0.36 inference(resolution,[status(thm)],[f131,f126])).
% 0.13/0.36 fof(f193,plain,(
% 0.13/0.36 spl0_10 <=> sk0_3(sk0_1)=k1_xboole_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f194,plain,(
% 0.13/0.36 sk0_3(sk0_1)=k1_xboole_0|~spl0_10),
% 0.13/0.36 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.36 fof(f196,plain,(
% 0.13/0.36 spl0_11 <=> sk0_1=k1_xboole_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f197,plain,(
% 0.13/0.36 sk0_1=k1_xboole_0|~spl0_11),
% 0.13/0.36 inference(component_clause,[status(thm)],[f196])).
% 0.13/0.36 fof(f198,plain,(
% 0.13/0.36 ~sk0_1=k1_xboole_0|spl0_11),
% 0.13/0.36 inference(component_clause,[status(thm)],[f196])).
% 0.13/0.36 fof(f199,plain,(
% 0.13/0.36 sk0_3(sk0_1)=k1_xboole_0|sk0_1=k1_xboole_0|~spl0_1),
% 0.13/0.36 inference(resolution,[status(thm)],[f112,f46])).
% 0.13/0.36 fof(f200,plain,(
% 0.13/0.36 spl0_10|spl0_11|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f199,f193,f196,f111])).
% 0.13/0.36 fof(f201,plain,(
% 0.13/0.36 spl0_12 <=> r2_hidden(k1_xboole_0,sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f209,plain,(
% 0.13/0.36 ~k5_setfam_1(sk0_0,k1_xboole_0)=k1_xboole_0|~spl0_11|spl0_0),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f197,f110])).
% 0.13/0.36 fof(f263,plain,(
% 0.13/0.36 m1_subset_1(sk0_1,k1_zfmisc_1(k1_zfmisc_1(sk0_0)))|~spl0_5),
% 0.13/0.36 inference(resolution,[status(thm)],[f131,f87])).
% 0.13/0.36 fof(f275,plain,(
% 0.13/0.36 k5_setfam_1(sk0_0,sk0_1)=k3_tarski(sk0_1)|~spl0_5),
% 0.13/0.36 inference(resolution,[status(thm)],[f263,f83])).
% 0.13/0.36 fof(f279,plain,(
% 0.13/0.36 spl0_15 <=> r2_hidden(sk0_3(sk0_1),k3_tarski(k1_zfmisc_1(k1_zfmisc_1(sk0_0))))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f282,plain,(
% 0.13/0.36 r2_hidden(sk0_3(sk0_1),k3_tarski(k1_zfmisc_1(k1_zfmisc_1(sk0_0))))|sk0_1=k1_xboole_0|~spl0_5),
% 0.13/0.36 inference(resolution,[status(thm)],[f183,f46])).
% 0.13/0.36 fof(f283,plain,(
% 0.13/0.36 spl0_15|spl0_11|~spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f282,f279,f196,f130])).
% 0.13/0.36 fof(f288,plain,(
% 0.13/0.36 k5_setfam_1(sk0_0,k1_xboole_0)=k3_tarski(sk0_1)|~spl0_11),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f197,f137])).
% 0.13/0.36 fof(f289,plain,(
% 0.13/0.36 k5_setfam_1(sk0_0,k1_xboole_0)=k3_tarski(k1_xboole_0)|~spl0_11),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f197,f288])).
% 0.13/0.36 fof(f290,plain,(
% 0.13/0.36 ~k3_tarski(k1_xboole_0)=k1_xboole_0|~spl0_11|spl0_0),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f289,f209])).
% 0.13/0.36 fof(f302,plain,(
% 0.13/0.36 ![X0,X1]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(X1))|~v1_xboole_0(X1))),
% 0.13/0.36 inference(resolution,[status(thm)],[f161,f99])).
% 0.13/0.36 fof(f304,plain,(
% 0.13/0.36 ![X0]: (v1_xboole_0(X0)|~r2_hidden(X0,sk0_7(X0)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f161,f39])).
% 0.13/0.36 fof(f305,plain,(
% 0.13/0.36 ![X0]: (X0=k1_xboole_0|~m1_subset_1(X0,k1_zfmisc_1(k1_xboole_0)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f151,f60])).
% 0.13/0.36 fof(f307,plain,(
% 0.13/0.36 spl0_16 <=> sk0_3(k1_zfmisc_1(k1_xboole_0))=k1_xboole_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f308,plain,(
% 0.13/0.36 sk0_3(k1_zfmisc_1(k1_xboole_0))=k1_xboole_0|~spl0_16),
% 0.13/0.36 inference(component_clause,[status(thm)],[f307])).
% 0.13/0.36 fof(f310,plain,(
% 0.13/0.36 spl0_17 <=> k1_zfmisc_1(k1_xboole_0)=k1_xboole_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f311,plain,(
% 0.13/0.36 k1_zfmisc_1(k1_xboole_0)=k1_xboole_0|~spl0_17),
% 0.13/0.36 inference(component_clause,[status(thm)],[f310])).
% 0.13/0.36 fof(f313,plain,(
% 0.13/0.36 sk0_3(k1_zfmisc_1(k1_xboole_0))=k1_xboole_0|k1_zfmisc_1(k1_xboole_0)=k1_xboole_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f305,f152])).
% 0.13/0.36 fof(f314,plain,(
% 0.13/0.36 spl0_16|spl0_17),
% 0.13/0.36 inference(split_clause,[status(thm)],[f313,f307,f310])).
% 0.13/0.36 fof(f315,plain,(
% 0.13/0.36 sk0_7(k1_zfmisc_1(k1_xboole_0))=k1_xboole_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f305,f59])).
% 0.13/0.36 fof(f316,plain,(
% 0.13/0.36 spl0_18 <=> v1_xboole_0(k1_zfmisc_1(k1_xboole_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f317,plain,(
% 0.13/0.36 v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|~spl0_18),
% 0.13/0.36 inference(component_clause,[status(thm)],[f316])).
% 0.13/0.36 fof(f319,plain,(
% 0.13/0.36 spl0_19 <=> r2_hidden(k1_zfmisc_1(k1_xboole_0),k1_xboole_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f322,plain,(
% 0.13/0.36 v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|~r2_hidden(k1_zfmisc_1(k1_xboole_0),k1_xboole_0)),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f315,f304])).
% 0.13/0.36 fof(f323,plain,(
% 0.13/0.36 spl0_18|~spl0_19),
% 0.13/0.36 inference(split_clause,[status(thm)],[f322,f316,f319])).
% 0.13/0.36 fof(f324,plain,(
% 0.13/0.36 spl0_20 <=> r2_hidden(k1_xboole_0,k1_zfmisc_1(k1_xboole_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f327,plain,(
% 0.13/0.36 v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|r2_hidden(k1_xboole_0,k1_zfmisc_1(k1_xboole_0))),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f315,f161])).
% 0.13/0.36 fof(f328,plain,(
% 0.13/0.36 spl0_18|spl0_20),
% 0.13/0.36 inference(split_clause,[status(thm)],[f327,f316,f324])).
% 0.13/0.36 fof(f330,plain,(
% 0.13/0.36 $false|~spl0_18),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f317,f63])).
% 0.13/0.36 fof(f331,plain,(
% 0.13/0.36 ~spl0_18),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f330])).
% 0.13/0.36 fof(f334,plain,(
% 0.13/0.36 ![X0]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(k1_xboole_0)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f302,f60])).
% 0.13/0.36 fof(f336,plain,(
% 0.13/0.36 spl0_21 <=> v1_xboole_0(sk0_3(k1_zfmisc_1(k1_xboole_0)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f339,plain,(
% 0.13/0.36 v1_xboole_0(sk0_3(k1_zfmisc_1(k1_xboole_0)))|k1_zfmisc_1(k1_xboole_0)=k1_xboole_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f334,f152])).
% 0.13/0.36 fof(f340,plain,(
% 0.13/0.36 spl0_21|spl0_17),
% 0.13/0.36 inference(split_clause,[status(thm)],[f339,f336,f310])).
% 0.13/0.36 fof(f362,plain,(
% 0.13/0.36 ![X0]: (m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f157,f77])).
% 0.13/0.36 fof(f364,plain,(
% 0.13/0.36 ![X0]: (m1_subset_1(k5_setfam_1(X0,k1_xboole_0),k1_zfmisc_1(X0)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f362,f57])).
% 0.13/0.36 fof(f365,plain,(
% 0.13/0.36 ![X0]: (k5_setfam_1(X0,k1_xboole_0)=k3_tarski(k1_xboole_0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f362,f83])).
% 0.13/0.36 fof(f383,plain,(
% 0.13/0.36 ![X0]: (m1_subset_1(X0,k1_zfmisc_1(X0)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f93,f85])).
% 0.13/0.36 fof(f388,plain,(
% 0.13/0.36 ![X0]: (v1_xboole_0(k1_zfmisc_1(X0))|r2_hidden(X0,k1_zfmisc_1(X0)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f383,f89])).
% 0.13/0.36 fof(f389,plain,(
% 0.13/0.36 ![X0]: (r2_hidden(X0,k1_zfmisc_1(X0)))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f388,f63])).
% 0.13/0.36 fof(f395,plain,(
% 0.13/0.36 ![X0]: (m1_subset_1(k3_tarski(k1_xboole_0),k1_zfmisc_1(X0)))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f365,f364])).
% 0.13/0.36 fof(f397,plain,(
% 0.13/0.36 k3_tarski(k1_xboole_0)=k1_xboole_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f395,f305])).
% 0.13/0.36 fof(f434,plain,(
% 0.13/0.36 ![X0]: (X0=k3_tarski(k1_xboole_0)|r2_hidden(sk0_5(X0,k1_xboole_0),X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f55,f123])).
% 0.13/0.36 fof(f435,plain,(
% 0.13/0.36 ![X0]: (X0=k1_xboole_0|r2_hidden(sk0_5(X0,k1_xboole_0),X0))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f397,f434])).
% 0.13/0.36 fof(f441,plain,(
% 0.13/0.36 ~k1_xboole_0=k1_xboole_0|~spl0_11|spl0_0),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f397,f290])).
% 0.13/0.36 fof(f442,plain,(
% 0.13/0.36 $false|~spl0_11|spl0_0),
% 0.13/0.36 inference(trivial_equality_resolution,[status(esa)],[f441])).
% 0.13/0.36 fof(f443,plain,(
% 0.13/0.36 ~spl0_11|spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f442])).
% 0.13/0.36 fof(f451,plain,(
% 0.13/0.36 spl0_22 <=> ~m1_subset_1(sk0_1,k1_zfmisc_1(X0))|m1_subset_1(k1_xboole_0,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f454,plain,(
% 0.13/0.36 ![X0]: (sk0_1=k1_xboole_0|~m1_subset_1(sk0_1,k1_zfmisc_1(X0))|m1_subset_1(k1_xboole_0,X0)|~spl0_10)),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f194,f150])).
% 0.13/0.36 fof(f455,plain,(
% 0.13/0.36 spl0_11|spl0_22|~spl0_10),
% 0.13/0.36 inference(split_clause,[status(thm)],[f454,f196,f451,f193])).
% 0.13/0.36 fof(f456,plain,(
% 0.13/0.36 spl0_23 <=> r2_hidden(sk0_1,k1_xboole_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f461,plain,(
% 0.13/0.36 spl0_24 <=> m1_subset_1(k1_xboole_0,sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f464,plain,(
% 0.13/0.36 sk0_1=k1_xboole_0|m1_subset_1(k1_xboole_0,sk0_1)|~spl0_10),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f194,f152])).
% 0.13/0.36 fof(f465,plain,(
% 0.13/0.36 spl0_11|spl0_24|~spl0_10),
% 0.13/0.36 inference(split_clause,[status(thm)],[f464,f196,f461,f193])).
% 0.13/0.36 fof(f468,plain,(
% 0.13/0.36 ![X0]: (sk0_6(X0,sk0_1)=k1_xboole_0|X0=k3_tarski(sk0_1)|r2_hidden(sk0_5(X0,sk0_1),X0)|~spl0_1)),
% 0.13/0.36 inference(resolution,[status(thm)],[f112,f55])).
% 0.13/0.36 fof(f469,plain,(
% 0.13/0.36 ![X0]: (sk0_5(sk0_1,X0)=k1_xboole_0|sk0_1=k3_tarski(X0)|r2_hidden(sk0_6(sk0_1,X0),X0)|~spl0_1)),
% 0.13/0.36 inference(resolution,[status(thm)],[f112,f55])).
% 0.13/0.36 fof(f470,plain,(
% 0.13/0.36 spl0_25 <=> sk0_7(sk0_1)=k1_xboole_0),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f471,plain,(
% 0.13/0.36 sk0_7(sk0_1)=k1_xboole_0|~spl0_25),
% 0.13/0.36 inference(component_clause,[status(thm)],[f470])).
% 0.13/0.36 fof(f473,plain,(
% 0.13/0.36 sk0_7(sk0_1)=k1_xboole_0|v1_xboole_0(sk0_1)|~spl0_1),
% 0.13/0.36 inference(resolution,[status(thm)],[f112,f161])).
% 0.13/0.36 fof(f474,plain,(
% 0.13/0.36 spl0_25|spl0_8|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f473,f470,f171,f111])).
% 0.13/0.37 fof(f481,plain,(
% 0.13/0.37 r2_hidden(k1_xboole_0,k1_xboole_0)|~spl0_17),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f311,f389])).
% 0.13/0.37 fof(f482,plain,(
% 0.13/0.37 $false|~spl0_17),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f481,f123])).
% 0.13/0.37 fof(f483,plain,(
% 0.13/0.37 ~spl0_17),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f482])).
% 0.13/0.37 fof(f500,plain,(
% 0.13/0.37 ![X0]: (r2_hidden(X0,k1_xboole_0)|~r2_hidden(X0,sk0_2)|~spl0_0|~spl0_2)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f176,f166])).
% 0.13/0.37 fof(f501,plain,(
% 0.13/0.37 ![X0]: (~r2_hidden(X0,sk0_2)|~spl0_0|~spl0_2)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f500,f123])).
% 0.13/0.37 fof(f505,plain,(
% 0.13/0.37 sk0_2=k1_xboole_0|~spl0_0|~spl0_2),
% 0.13/0.37 inference(resolution,[status(thm)],[f501,f46])).
% 0.13/0.37 fof(f506,plain,(
% 0.13/0.37 $false|spl0_3|~spl0_0|~spl0_2),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f505,f121])).
% 0.13/0.37 fof(f507,plain,(
% 0.13/0.37 spl0_3|~spl0_0|~spl0_2),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f506])).
% 0.13/0.37 fof(f515,plain,(
% 0.13/0.37 v1_xboole_0(sk0_1)|~r2_hidden(sk0_1,k1_xboole_0)|~spl0_25),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f471,f304])).
% 0.13/0.37 fof(f516,plain,(
% 0.13/0.37 spl0_8|~spl0_23|~spl0_25),
% 0.13/0.37 inference(split_clause,[status(thm)],[f515,f171,f456,f470])).
% 0.13/0.37 fof(f517,plain,(
% 0.13/0.37 v1_xboole_0(sk0_1)|r2_hidden(k1_xboole_0,sk0_1)|~spl0_25),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f471,f161])).
% 0.13/0.37 fof(f518,plain,(
% 0.13/0.37 spl0_8|spl0_12|~spl0_25),
% 0.13/0.37 inference(split_clause,[status(thm)],[f517,f171,f201,f470])).
% 0.13/0.37 fof(f527,plain,(
% 0.13/0.37 spl0_26 <=> ~m1_subset_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(X0))|m1_subset_1(k1_xboole_0,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f530,plain,(
% 0.13/0.37 ![X0]: (k1_zfmisc_1(k1_xboole_0)=k1_xboole_0|~m1_subset_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(X0))|m1_subset_1(k1_xboole_0,X0)|~spl0_16)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f308,f150])).
% 0.13/0.37 fof(f531,plain,(
% 0.13/0.37 spl0_17|spl0_26|~spl0_16),
% 0.13/0.37 inference(split_clause,[status(thm)],[f530,f310,f527,f307])).
% 0.13/0.37 fof(f534,plain,(
% 0.13/0.37 spl0_27 <=> m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_xboole_0))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f537,plain,(
% 0.13/0.37 k1_zfmisc_1(k1_xboole_0)=k1_xboole_0|m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_xboole_0))|~spl0_16),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f308,f152])).
% 0.13/0.37 fof(f538,plain,(
% 0.13/0.37 spl0_17|spl0_27|~spl0_16),
% 0.13/0.37 inference(split_clause,[status(thm)],[f537,f310,f534,f307])).
% 0.13/0.37 fof(f548,plain,(
% 0.13/0.37 ~k3_tarski(sk0_1)=k1_xboole_0|~spl0_5|spl0_0),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f275,f110])).
% 0.13/0.37 fof(f570,plain,(
% 0.13/0.37 spl0_31 <=> sk0_6(k1_xboole_0,sk0_1)=k1_xboole_0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f571,plain,(
% 0.13/0.37 sk0_6(k1_xboole_0,sk0_1)=k1_xboole_0|~spl0_31),
% 0.13/0.37 inference(component_clause,[status(thm)],[f570])).
% 0.13/0.37 fof(f573,plain,(
% 0.13/0.37 spl0_32 <=> k1_xboole_0=k3_tarski(sk0_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f574,plain,(
% 0.13/0.37 k1_xboole_0=k3_tarski(sk0_1)|~spl0_32),
% 0.13/0.37 inference(component_clause,[status(thm)],[f573])).
% 0.13/0.37 fof(f576,plain,(
% 0.13/0.37 sk0_6(k1_xboole_0,sk0_1)=k1_xboole_0|k1_xboole_0=k3_tarski(sk0_1)|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f468,f123])).
% 0.13/0.37 fof(f577,plain,(
% 0.13/0.37 spl0_31|spl0_32|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f576,f570,f573,f111])).
% 0.13/0.37 fof(f583,plain,(
% 0.13/0.37 $false|~spl0_5|spl0_0|~spl0_32),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f574,f548])).
% 0.13/0.37 fof(f584,plain,(
% 0.13/0.37 ~spl0_5|spl0_0|~spl0_32),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f583])).
% 0.13/0.37 fof(f589,plain,(
% 0.13/0.37 spl0_33 <=> sk0_5(sk0_1,k1_xboole_0)=k1_xboole_0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f592,plain,(
% 0.13/0.37 spl0_34 <=> sk0_1=k3_tarski(k1_xboole_0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f593,plain,(
% 0.13/0.37 sk0_1=k3_tarski(k1_xboole_0)|~spl0_34),
% 0.13/0.37 inference(component_clause,[status(thm)],[f592])).
% 0.13/0.37 fof(f595,plain,(
% 0.13/0.37 sk0_5(sk0_1,k1_xboole_0)=k1_xboole_0|sk0_1=k3_tarski(k1_xboole_0)|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f469,f123])).
% 0.13/0.37 fof(f596,plain,(
% 0.13/0.37 spl0_33|spl0_34|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f595,f589,f592,f111])).
% 0.13/0.37 fof(f602,plain,(
% 0.13/0.37 sk0_1=k1_xboole_0|~spl0_34),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f397,f593])).
% 0.13/0.37 fof(f603,plain,(
% 0.13/0.37 $false|spl0_11|~spl0_34),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f602,f198])).
% 0.13/0.37 fof(f604,plain,(
% 0.13/0.37 spl0_11|~spl0_34),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f603])).
% 0.13/0.37 fof(f701,plain,(
% 0.13/0.37 ![X0]: (X0=k1_xboole_0|m1_subset_1(sk0_5(X0,k1_xboole_0),X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f435,f87])).
% 0.13/0.37 fof(f709,plain,(
% 0.13/0.37 spl0_38 <=> sk0_5(k1_zfmisc_1(k1_xboole_0),k1_xboole_0)=k1_xboole_0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f712,plain,(
% 0.13/0.37 k1_zfmisc_1(k1_xboole_0)=k1_xboole_0|sk0_5(k1_zfmisc_1(k1_xboole_0),k1_xboole_0)=k1_xboole_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f701,f305])).
% 0.13/0.37 fof(f713,plain,(
% 0.13/0.37 spl0_17|spl0_38),
% 0.13/0.37 inference(split_clause,[status(thm)],[f712,f310,f709])).
% 0.13/0.37 fof(f714,plain,(
% 0.13/0.37 spl0_39 <=> v1_xboole_0(sk0_5(k1_zfmisc_1(k1_xboole_0),k1_xboole_0))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f717,plain,(
% 0.13/0.37 k1_zfmisc_1(k1_xboole_0)=k1_xboole_0|v1_xboole_0(sk0_5(k1_zfmisc_1(k1_xboole_0),k1_xboole_0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f701,f334])).
% 0.13/0.37 fof(f718,plain,(
% 0.13/0.37 spl0_17|spl0_39),
% 0.13/0.37 inference(split_clause,[status(thm)],[f717,f310,f714])).
% 0.13/0.37 fof(f739,plain,(
% 0.13/0.37 spl0_43 <=> k3_tarski(k1_xboole_0)=k1_xboole_0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f794,plain,(
% 0.13/0.37 spl0_50 <=> r2_hidden(sk0_4(sk0_3(k1_xboole_0),k3_tarski(k1_xboole_0),k1_xboole_0),k1_xboole_0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f795,plain,(
% 0.13/0.37 r2_hidden(sk0_4(sk0_3(k1_xboole_0),k3_tarski(k1_xboole_0),k1_xboole_0),k1_xboole_0)|~spl0_50),
% 0.13/0.37 inference(component_clause,[status(thm)],[f794])).
% 0.13/0.37 fof(f804,plain,(
% 0.13/0.37 spl0_52 <=> r2_hidden(sk0_4(sk0_3(k3_tarski(k1_xboole_0)),k1_xboole_0,k1_xboole_0),k1_xboole_0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f805,plain,(
% 0.13/0.37 r2_hidden(sk0_4(sk0_3(k3_tarski(k1_xboole_0)),k1_xboole_0,k1_xboole_0),k1_xboole_0)|~spl0_52),
% 0.13/0.37 inference(component_clause,[status(thm)],[f804])).
% 0.13/0.37 fof(f807,plain,(
% 0.13/0.37 r2_hidden(sk0_4(sk0_3(k3_tarski(k1_xboole_0)),k1_xboole_0,k1_xboole_0),k1_xboole_0)|k3_tarski(k1_xboole_0)=k1_xboole_0),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f397,f164])).
% 0.13/0.37 fof(f808,plain,(
% 0.13/0.37 spl0_52|spl0_43),
% 0.13/0.37 inference(split_clause,[status(thm)],[f807,f804,f739])).
% 0.13/0.37 fof(f809,plain,(
% 0.13/0.37 r2_hidden(sk0_4(sk0_3(k1_xboole_0),k1_xboole_0,k1_xboole_0),k1_xboole_0)|~spl0_52),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f397,f805])).
% 0.13/0.37 fof(f810,plain,(
% 0.13/0.37 $false|~spl0_52),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f809,f123])).
% 0.13/0.37 fof(f811,plain,(
% 0.13/0.37 ~spl0_52),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f810])).
% 0.13/0.37 fof(f813,plain,(
% 0.13/0.37 r2_hidden(sk0_4(sk0_3(k1_xboole_0),k1_xboole_0,k1_xboole_0),k1_xboole_0)|~spl0_50),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f397,f795])).
% 0.13/0.37 fof(f814,plain,(
% 0.13/0.37 $false|~spl0_50),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f813,f123])).
% 0.13/0.37 fof(f815,plain,(
% 0.13/0.37 ~spl0_50),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f814])).
% 0.13/0.37 fof(f827,plain,(
% 0.13/0.37 spl0_53 <=> r2_hidden(X0,k3_tarski(k1_zfmisc_1(k1_xboole_0)))|~r2_hidden(X0,k1_xboole_0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f830,plain,(
% 0.13/0.37 ![X0]: (r2_hidden(X0,k3_tarski(k1_zfmisc_1(k1_xboole_0)))|~r2_hidden(X0,k1_xboole_0)|k1_zfmisc_1(k1_xboole_0)=k1_xboole_0|~spl0_16)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f308,f165])).
% 0.13/0.37 fof(f831,plain,(
% 0.13/0.37 spl0_53|spl0_17|~spl0_16),
% 0.13/0.37 inference(split_clause,[status(thm)],[f830,f827,f310,f307])).
% 0.13/0.37 fof(f832,plain,(
% 0.13/0.37 spl0_54 <=> r2_hidden(X0,k3_tarski(sk0_1))|~r2_hidden(X0,k1_xboole_0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f835,plain,(
% 0.13/0.37 ![X0]: (r2_hidden(X0,k3_tarski(sk0_1))|~r2_hidden(X0,k1_xboole_0)|sk0_1=k1_xboole_0|~spl0_10)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f194,f165])).
% 0.13/0.37 fof(f836,plain,(
% 0.13/0.37 spl0_54|spl0_11|~spl0_10),
% 0.13/0.37 inference(split_clause,[status(thm)],[f835,f832,f196,f193])).
% 0.13/0.37 fof(f841,plain,(
% 0.13/0.37 sk0_1=k1_xboole_0|~spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f172,f101])).
% 0.13/0.37 fof(f842,plain,(
% 0.13/0.37 spl0_11|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f841,f196,f171])).
% 0.13/0.37 fof(f844,plain,(
% 0.13/0.37 spl0_55 <=> r2_hidden(sk0_5(k1_xboole_0,sk0_1),k1_xboole_0)),
% 0.20/0.38 introduced(split_symbol_definition)).
% 0.20/0.38 fof(f845,plain,(
% 0.20/0.38 r2_hidden(sk0_5(k1_xboole_0,sk0_1),k1_xboole_0)|~spl0_55),
% 0.20/0.38 inference(component_clause,[status(thm)],[f844])).
% 0.20/0.38 fof(f859,plain,(
% 0.20/0.38 k1_xboole_0=k3_tarski(sk0_1)|r2_hidden(sk0_5(k1_xboole_0,sk0_1),k1_xboole_0)|r2_hidden(sk0_5(k1_xboole_0,sk0_1),k1_xboole_0)|~spl0_31),
% 0.20/0.38 inference(paramodulation,[status(thm)],[f571,f54])).
% 0.20/0.38 fof(f860,plain,(
% 0.20/0.38 spl0_32|spl0_55|~spl0_31),
% 0.20/0.38 inference(split_clause,[status(thm)],[f859,f573,f844,f570])).
% 0.20/0.38 fof(f861,plain,(
% 0.20/0.38 $false|~spl0_55),
% 0.20/0.38 inference(forward_subsumption_resolution,[status(thm)],[f845,f123])).
% 0.20/0.38 fof(f862,plain,(
% 0.20/0.38 ~spl0_55),
% 0.20/0.38 inference(contradiction_clause,[status(thm)],[f861])).
% 0.20/0.38 fof(f863,plain,(
% 0.20/0.38 $false),
% 0.20/0.38 inference(sat_refutation,[status(thm)],[f114,f118,f122,f134,f136,f147,f149,f200,f283,f314,f323,f328,f331,f340,f443,f455,f465,f474,f483,f507,f516,f518,f531,f538,f577,f584,f596,f604,f713,f718,f808,f811,f815,f831,f836,f842,f860,f862])).
% 0.20/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.38 % Elapsed time: 0.033435 seconds
% 0.20/0.38 % CPU time: 0.105796 seconds
% 0.20/0.38 % Memory used: 12.851 MB
%------------------------------------------------------------------------------