TSTP Solution File: SEU430+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU430+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 0.56s 1.12s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU430+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.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 09:01:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.45/0.62 % Drodi V3.5.1
% 0.56/1.12 % Refutation found
% 0.56/1.12 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.56/1.12 % SZS output start CNFRefutation for theBenchmark
% 0.56/1.12 fof(f1,axiom,(
% 0.56/1.12 (! [A,B] :( r2_hidden(A,B)=> ~ r2_hidden(B,A) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f3,axiom,(
% 0.56/1.12 (! [A,B] :( (! [C] :( r2_hidden(C,A)<=> r2_hidden(C,B) ))=> A = B ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f8,axiom,(
% 0.56/1.12 (! [A,B] :( r1_tarski(A,B)<=> (! [C] :( r2_hidden(C,A)=> r2_hidden(C,B) ) )) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f9,axiom,(
% 0.56/1.12 (! [A,B] :( B = k3_tarski(A)<=> (! [C] :( r2_hidden(C,B)<=> (? [D] :( r2_hidden(C,D)& r2_hidden(D,A) ) )) )) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f18,axiom,(
% 0.56/1.12 (! [A,B] : r1_tarski(A,A) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f29,axiom,(
% 0.56/1.12 (! [A] :( A = k1_xboole_0<=> (! [B] : ~ r2_hidden(B,A) )) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f185,axiom,(
% 0.56/1.12 (! [A,B] :( B = k1_zfmisc_1(A)<=> (! [C] :( r2_hidden(C,B)<=> r1_tarski(C,A) ) )) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f349,axiom,(
% 0.56/1.12 (! [A] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f421,axiom,(
% 0.56/1.12 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B) )=> ~ r1_subset_1(A,A) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f424,axiom,(
% 0.56/1.12 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B) )=> ~ r2_subset_1(A,A) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f445,axiom,(
% 0.56/1.12 (? [A] :( ~ v1_xboole_0(A)& v1_setfam_1(A) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f531,axiom,(
% 0.56/1.12 (! [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)) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f532,axiom,(
% 0.56/1.12 (! [A,B] :( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))=> k5_setfam_1(A,B) = k3_tarski(B) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f540,axiom,(
% 0.56/1.12 ((! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) ))),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f541,axiom,(
% 0.56/1.12 ((! [A,B,C] :( ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C)) )=> m1_subset_1(A,C) ) ))),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f542,axiom,(
% 0.56/1.12 ((! [A,B,C] :~ ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C))& v1_xboole_0(C) ) ))),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f781,axiom,(
% 0.56/1.12 (? [A] :( v1_relat_1(A)& v1_xboole_0(A)& v1_funct_1(A) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f1042,axiom,(
% 0.56/1.12 ( v1_relat_1(k1_xboole_0)& v3_relat_1(k1_xboole_0)& v1_funct_1(k1_xboole_0)& v2_funct_1(k1_xboole_0)& v1_xboole_0(k1_xboole_0)& v1_ordinal1(k1_xboole_0)& v2_ordinal1(k1_xboole_0)& v3_ordinal1(k1_xboole_0) ) ),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f1120,axiom,(
% 0.56/1.12 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> v1_relat_1(C) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f4502,conjecture,(
% 0.56/1.12 (! [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 ) )) ) )),
% 0.56/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.56/1.12 fof(f4503,negated_conjecture,(
% 0.56/1.12 ~((! [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 ) )) ) ))),
% 0.56/1.12 inference(negated_conjecture,[status(cth)],[f4502])).
% 0.56/1.12 fof(f4504,plain,(
% 0.56/1.12 ![A,B]: (~r2_hidden(A,B)|~r2_hidden(B,A))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.56/1.12 fof(f4505,plain,(
% 0.56/1.12 ![X0,X1]: (~r2_hidden(X0,X1)|~r2_hidden(X1,X0))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4504])).
% 0.56/1.12 fof(f4506,plain,(
% 0.56/1.12 ![A,B]: ((?[C]: (r2_hidden(C,A)<~>r2_hidden(C,B)))|A=B)),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.56/1.12 fof(f4507,plain,(
% 0.56/1.12 ![A,B]: ((?[C]: ((r2_hidden(C,A)|r2_hidden(C,B))&(~r2_hidden(C,A)|~r2_hidden(C,B))))|A=B)),
% 0.56/1.12 inference(NNF_transformation,[status(esa)],[f4506])).
% 0.56/1.12 fof(f4508,plain,(
% 0.56/1.12 ![A,B]: (((r2_hidden(sk0_0(B,A),A)|r2_hidden(sk0_0(B,A),B))&(~r2_hidden(sk0_0(B,A),A)|~r2_hidden(sk0_0(B,A),B)))|A=B)),
% 0.56/1.12 inference(skolemization,[status(esa)],[f4507])).
% 0.56/1.12 fof(f4509,plain,(
% 0.56/1.12 ![X0,X1]: (r2_hidden(sk0_0(X0,X1),X1)|r2_hidden(sk0_0(X0,X1),X0)|X1=X0)),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4508])).
% 0.56/1.12 fof(f4527,plain,(
% 0.56/1.12 ![A,B]: (r1_tarski(A,B)<=>(![C]: (~r2_hidden(C,A)|r2_hidden(C,B))))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.56/1.12 fof(f4528,plain,(
% 0.56/1.12 ![A,B]: ((~r1_tarski(A,B)|(![C]: (~r2_hidden(C,A)|r2_hidden(C,B))))&(r1_tarski(A,B)|(?[C]: (r2_hidden(C,A)&~r2_hidden(C,B)))))),
% 0.56/1.12 inference(NNF_transformation,[status(esa)],[f4527])).
% 0.56/1.12 fof(f4529,plain,(
% 0.56/1.12 (![A,B]: (~r1_tarski(A,B)|(![C]: (~r2_hidden(C,A)|r2_hidden(C,B)))))&(![A,B]: (r1_tarski(A,B)|(?[C]: (r2_hidden(C,A)&~r2_hidden(C,B)))))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f4528])).
% 0.56/1.12 fof(f4530,plain,(
% 0.56/1.12 (![A,B]: (~r1_tarski(A,B)|(![C]: (~r2_hidden(C,A)|r2_hidden(C,B)))))&(![A,B]: (r1_tarski(A,B)|(r2_hidden(sk0_3(B,A),A)&~r2_hidden(sk0_3(B,A),B))))),
% 0.56/1.12 inference(skolemization,[status(esa)],[f4529])).
% 0.56/1.12 fof(f4532,plain,(
% 0.56/1.12 ![X0,X1]: (r1_tarski(X0,X1)|r2_hidden(sk0_3(X1,X0),X0))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4530])).
% 0.56/1.12 fof(f4534,plain,(
% 0.56/1.12 ![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))))))))),
% 0.56/1.12 inference(NNF_transformation,[status(esa)],[f9])).
% 0.56/1.12 fof(f4535,plain,(
% 0.56/1.12 (![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))))))))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f4534])).
% 0.56/1.12 fof(f4536,plain,(
% 0.56/1.12 (![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))))))),
% 0.56/1.12 inference(skolemization,[status(esa)],[f4535])).
% 0.56/1.12 fof(f4538,plain,(
% 0.56/1.12 ![X0,X1,X2]: (~X0=k3_tarski(X1)|~r2_hidden(X2,X0)|r2_hidden(sk0_4(X2,X0,X1),X1))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4536])).
% 0.56/1.12 fof(f4539,plain,(
% 0.56/1.12 ![X0,X1,X2,X3]: (~X0=k3_tarski(X1)|r2_hidden(X2,X0)|~r2_hidden(X2,X3)|~r2_hidden(X3,X1))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4536])).
% 0.56/1.12 fof(f4541,plain,(
% 0.56/1.12 ![X0,X1]: (X0=k3_tarski(X1)|r2_hidden(sk0_5(X0,X1),X0)|r2_hidden(sk0_5(X0,X1),sk0_6(X0,X1)))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4536])).
% 0.56/1.12 fof(f4542,plain,(
% 0.56/1.12 ![X0,X1]: (X0=k3_tarski(X1)|r2_hidden(sk0_5(X0,X1),X0)|r2_hidden(sk0_6(X0,X1),X1))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4536])).
% 0.56/1.12 fof(f4579,plain,(
% 0.56/1.12 ![A]: r1_tarski(A,A)),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f18])).
% 0.56/1.12 fof(f4580,plain,(
% 0.56/1.12 ![X0]: (r1_tarski(X0,X0))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4579])).
% 0.56/1.12 fof(f4593,plain,(
% 0.56/1.12 ![A]: ((~A=k1_xboole_0|(![B]: ~r2_hidden(B,A)))&(A=k1_xboole_0|(?[B]: r2_hidden(B,A))))),
% 0.56/1.12 inference(NNF_transformation,[status(esa)],[f29])).
% 0.56/1.12 fof(f4594,plain,(
% 0.56/1.12 (![A]: (~A=k1_xboole_0|(![B]: ~r2_hidden(B,A))))&(![A]: (A=k1_xboole_0|(?[B]: r2_hidden(B,A))))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f4593])).
% 0.56/1.12 fof(f4595,plain,(
% 0.56/1.12 (![A]: (~A=k1_xboole_0|(![B]: ~r2_hidden(B,A))))&(![A]: (A=k1_xboole_0|r2_hidden(sk0_22(A),A)))),
% 0.56/1.12 inference(skolemization,[status(esa)],[f4594])).
% 0.56/1.12 fof(f4596,plain,(
% 0.56/1.12 ![X0,X1]: (~X0=k1_xboole_0|~r2_hidden(X1,X0))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4595])).
% 0.56/1.12 fof(f4962,plain,(
% 0.56/1.12 ![A,B]: ((~B=k1_zfmisc_1(A)|(![C]: ((~r2_hidden(C,B)|r1_tarski(C,A))&(r2_hidden(C,B)|~r1_tarski(C,A)))))&(B=k1_zfmisc_1(A)|(?[C]: ((~r2_hidden(C,B)|~r1_tarski(C,A))&(r2_hidden(C,B)|r1_tarski(C,A))))))),
% 0.56/1.12 inference(NNF_transformation,[status(esa)],[f185])).
% 0.56/1.12 fof(f4963,plain,(
% 0.56/1.12 (![A,B]: (~B=k1_zfmisc_1(A)|((![C]: (~r2_hidden(C,B)|r1_tarski(C,A)))&(![C]: (r2_hidden(C,B)|~r1_tarski(C,A))))))&(![A,B]: (B=k1_zfmisc_1(A)|(?[C]: ((~r2_hidden(C,B)|~r1_tarski(C,A))&(r2_hidden(C,B)|r1_tarski(C,A))))))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f4962])).
% 0.56/1.12 fof(f4964,plain,(
% 0.56/1.12 (![A,B]: (~B=k1_zfmisc_1(A)|((![C]: (~r2_hidden(C,B)|r1_tarski(C,A)))&(![C]: (r2_hidden(C,B)|~r1_tarski(C,A))))))&(![A,B]: (B=k1_zfmisc_1(A)|((~r2_hidden(sk0_36(B,A),B)|~r1_tarski(sk0_36(B,A),A))&(r2_hidden(sk0_36(B,A),B)|r1_tarski(sk0_36(B,A),A)))))),
% 0.56/1.12 inference(skolemization,[status(esa)],[f4963])).
% 0.56/1.12 fof(f4966,plain,(
% 0.56/1.12 ![X0,X1,X2]: (~X0=k1_zfmisc_1(X1)|r2_hidden(X2,X0)|~r1_tarski(X2,X1))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f4964])).
% 0.56/1.12 fof(f5360,plain,(
% 0.56/1.12 ![X0]: (m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f349])).
% 0.56/1.12 fof(f5555,plain,(
% 0.56/1.12 ![A,B]: ((v1_xboole_0(A)|v1_xboole_0(B))|~r1_subset_1(A,A))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f421])).
% 0.56/1.12 fof(f5556,plain,(
% 0.56/1.12 ![A]: ((v1_xboole_0(A)|(![B]: v1_xboole_0(B)))|~r1_subset_1(A,A))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f5555])).
% 0.56/1.12 fof(f5557,plain,(
% 0.56/1.12 ![X0,X1]: (v1_xboole_0(X0)|v1_xboole_0(X1)|~r1_subset_1(X0,X0))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5556])).
% 0.56/1.12 fof(f5564,plain,(
% 0.56/1.12 ![A,B]: ((v1_xboole_0(A)|v1_xboole_0(B))|~r2_subset_1(A,A))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f424])).
% 0.56/1.12 fof(f5565,plain,(
% 0.56/1.12 ![A]: ((v1_xboole_0(A)|(![B]: v1_xboole_0(B)))|~r2_subset_1(A,A))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f5564])).
% 0.56/1.12 fof(f5566,plain,(
% 0.56/1.12 ![X0,X1]: (v1_xboole_0(X0)|v1_xboole_0(X1)|~r2_subset_1(X0,X0))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5565])).
% 0.56/1.12 fof(f5610,plain,(
% 0.56/1.12 (~v1_xboole_0(sk0_87)&v1_setfam_1(sk0_87))),
% 0.56/1.12 inference(skolemization,[status(esa)],[f445])).
% 0.56/1.12 fof(f5611,plain,(
% 0.56/1.12 ~v1_xboole_0(sk0_87)),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5610])).
% 0.56/1.12 fof(f5816,plain,(
% 0.56/1.12 ![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)))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f531])).
% 0.56/1.12 fof(f5817,plain,(
% 0.56/1.12 ![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)))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5816])).
% 0.56/1.12 fof(f5818,plain,(
% 0.56/1.12 ![A,B]: (~m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))|k5_setfam_1(A,B)=k3_tarski(B))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f532])).
% 0.56/1.12 fof(f5819,plain,(
% 0.56/1.12 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))|k5_setfam_1(X1,X0)=k3_tarski(X0))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5818])).
% 0.56/1.12 fof(f5834,plain,(
% 0.56/1.12 ![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)))),
% 0.56/1.12 inference(NNF_transformation,[status(esa)],[f540])).
% 0.56/1.12 fof(f5835,plain,(
% 0.56/1.12 (![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)))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f5834])).
% 0.56/1.12 fof(f5836,plain,(
% 0.56/1.12 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|r1_tarski(X0,X1))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5835])).
% 0.56/1.12 fof(f5837,plain,(
% 0.56/1.12 ![X0,X1]: (m1_subset_1(X0,k1_zfmisc_1(X1))|~r1_tarski(X0,X1))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5835])).
% 0.56/1.12 fof(f5838,plain,(
% 0.56/1.12 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|m1_subset_1(A,C))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f541])).
% 0.56/1.12 fof(f5839,plain,(
% 0.56/1.12 ![A,C]: ((![B]: (~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C))))|m1_subset_1(A,C))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f5838])).
% 0.56/1.12 fof(f5840,plain,(
% 0.56/1.12 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|m1_subset_1(X0,X2))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5839])).
% 0.56/1.12 fof(f5841,plain,(
% 0.56/1.12 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|~v1_xboole_0(C))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f542])).
% 0.56/1.12 fof(f5842,plain,(
% 0.56/1.12 ![C]: ((![B]: ((![A]: ~r2_hidden(A,B))|~m1_subset_1(B,k1_zfmisc_1(C))))|~v1_xboole_0(C))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f5841])).
% 0.56/1.12 fof(f5843,plain,(
% 0.56/1.12 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|~v1_xboole_0(X2))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f5842])).
% 0.56/1.12 fof(f6493,plain,(
% 0.56/1.12 ((v1_relat_1(sk0_162)&v1_xboole_0(sk0_162))&v1_funct_1(sk0_162))),
% 0.56/1.12 inference(skolemization,[status(esa)],[f781])).
% 0.56/1.12 fof(f6495,plain,(
% 0.56/1.12 v1_xboole_0(sk0_162)),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f6493])).
% 0.56/1.12 fof(f7209,plain,(
% 0.56/1.12 v1_xboole_0(k1_xboole_0)),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f1042])).
% 0.56/1.12 fof(f7446,plain,(
% 0.56/1.12 ![A,B,C]: (~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f1120])).
% 0.56/1.12 fof(f7447,plain,(
% 0.56/1.12 ![C]: ((![A,B]: ~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))|v1_relat_1(C))),
% 0.56/1.12 inference(miniscoping,[status(esa)],[f7446])).
% 0.56/1.12 fof(f7448,plain,(
% 0.56/1.12 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|v1_relat_1(X0))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f7447])).
% 0.56/1.12 fof(f17605,plain,(
% 0.56/1.12 (?[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)))))),
% 0.56/1.12 inference(pre_NNF_transformation,[status(esa)],[f4503])).
% 0.56/1.12 fof(f17606,plain,(
% 0.56/1.12 ?[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)))))),
% 0.56/1.12 inference(NNF_transformation,[status(esa)],[f17605])).
% 0.56/1.12 fof(f17607,plain,(
% 0.56/1.12 (m1_subset_1(sk0_1207,k1_zfmisc_1(k1_zfmisc_1(sk0_1206)))&((k5_setfam_1(sk0_1206,sk0_1207)=k1_xboole_0|(![C]: (~r2_hidden(C,sk0_1207)|C=k1_xboole_0)))&(~k5_setfam_1(sk0_1206,sk0_1207)=k1_xboole_0|(r2_hidden(sk0_1208,sk0_1207)&~sk0_1208=k1_xboole_0))))),
% 0.56/1.12 inference(skolemization,[status(esa)],[f17606])).
% 0.56/1.12 fof(f17608,plain,(
% 0.56/1.12 m1_subset_1(sk0_1207,k1_zfmisc_1(k1_zfmisc_1(sk0_1206)))),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f17607])).
% 0.56/1.12 fof(f17609,plain,(
% 0.56/1.12 ![X0]: (k5_setfam_1(sk0_1206,sk0_1207)=k1_xboole_0|~r2_hidden(X0,sk0_1207)|X0=k1_xboole_0)),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f17607])).
% 0.56/1.12 fof(f17610,plain,(
% 0.56/1.12 ~k5_setfam_1(sk0_1206,sk0_1207)=k1_xboole_0|r2_hidden(sk0_1208,sk0_1207)),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f17607])).
% 0.56/1.12 fof(f17611,plain,(
% 0.56/1.12 ~k5_setfam_1(sk0_1206,sk0_1207)=k1_xboole_0|~sk0_1208=k1_xboole_0),
% 0.56/1.12 inference(cnf_transformation,[status(esa)],[f17607])).
% 0.56/1.12 fof(f18571,plain,(
% 0.56/1.12 spl0_13 <=> v1_xboole_0(X0)|~r1_subset_1(X0,X0)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f18574,plain,(
% 0.56/1.12 spl0_14 <=> v1_xboole_0(X1)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f18575,plain,(
% 0.56/1.12 ![X0]: (v1_xboole_0(X0)|~spl0_14)),
% 0.56/1.12 inference(component_clause,[status(thm)],[f18574])).
% 0.56/1.12 fof(f18577,plain,(
% 0.56/1.12 spl0_13|spl0_14),
% 0.56/1.12 inference(split_clause,[status(thm)],[f5557,f18571,f18574])).
% 0.56/1.12 fof(f18578,plain,(
% 0.56/1.12 spl0_15 <=> v1_xboole_0(X0)|~r2_subset_1(X0,X0)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f18581,plain,(
% 0.56/1.12 spl0_15|spl0_14),
% 0.56/1.12 inference(split_clause,[status(thm)],[f5566,f18578,f18574])).
% 0.56/1.12 fof(f20101,plain,(
% 0.56/1.12 spl0_419 <=> k5_setfam_1(sk0_1206,sk0_1207)=k1_xboole_0),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f20102,plain,(
% 0.56/1.12 k5_setfam_1(sk0_1206,sk0_1207)=k1_xboole_0|~spl0_419),
% 0.56/1.12 inference(component_clause,[status(thm)],[f20101])).
% 0.56/1.12 fof(f20103,plain,(
% 0.56/1.12 ~k5_setfam_1(sk0_1206,sk0_1207)=k1_xboole_0|spl0_419),
% 0.56/1.12 inference(component_clause,[status(thm)],[f20101])).
% 0.56/1.12 fof(f20104,plain,(
% 0.56/1.12 spl0_420 <=> ~r2_hidden(X0,sk0_1207)|X0=k1_xboole_0),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f20105,plain,(
% 0.56/1.12 ![X0]: (~r2_hidden(X0,sk0_1207)|X0=k1_xboole_0|~spl0_420)),
% 0.56/1.12 inference(component_clause,[status(thm)],[f20104])).
% 0.56/1.12 fof(f20107,plain,(
% 0.56/1.12 spl0_419|spl0_420),
% 0.56/1.12 inference(split_clause,[status(thm)],[f17609,f20101,f20104])).
% 0.56/1.12 fof(f20108,plain,(
% 0.56/1.12 spl0_421 <=> r2_hidden(sk0_1208,sk0_1207)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f20109,plain,(
% 0.56/1.12 r2_hidden(sk0_1208,sk0_1207)|~spl0_421),
% 0.56/1.12 inference(component_clause,[status(thm)],[f20108])).
% 0.56/1.12 fof(f20111,plain,(
% 0.56/1.12 ~spl0_419|spl0_421),
% 0.56/1.12 inference(split_clause,[status(thm)],[f17610,f20101,f20108])).
% 0.56/1.12 fof(f20112,plain,(
% 0.56/1.12 spl0_422 <=> sk0_1208=k1_xboole_0),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f20114,plain,(
% 0.56/1.12 ~sk0_1208=k1_xboole_0|spl0_422),
% 0.56/1.12 inference(component_clause,[status(thm)],[f20112])).
% 0.56/1.12 fof(f20115,plain,(
% 0.56/1.12 ~spl0_419|~spl0_422),
% 0.56/1.12 inference(split_clause,[status(thm)],[f17611,f20101,f20112])).
% 0.56/1.12 fof(f20893,plain,(
% 0.56/1.12 ![X0,X1]: (~r2_hidden(X0,k3_tarski(X1))|r2_hidden(sk0_4(X0,k3_tarski(X1),X1),X1))),
% 0.56/1.12 inference(destructive_equality_resolution,[status(esa)],[f4538])).
% 0.56/1.12 fof(f20894,plain,(
% 0.56/1.12 ![X0,X1,X2]: (r2_hidden(X0,k3_tarski(X1))|~r2_hidden(X0,X2)|~r2_hidden(X2,X1))),
% 0.56/1.12 inference(destructive_equality_resolution,[status(esa)],[f4539])).
% 0.56/1.12 fof(f20897,plain,(
% 0.56/1.12 ![X0]: (~r2_hidden(X0,k1_xboole_0))),
% 0.56/1.12 inference(destructive_equality_resolution,[status(esa)],[f4596])).
% 0.56/1.12 fof(f20914,plain,(
% 0.56/1.12 ![X0,X1]: (r2_hidden(X0,k1_zfmisc_1(X1))|~r1_tarski(X0,X1))),
% 0.56/1.12 inference(destructive_equality_resolution,[status(esa)],[f4966])).
% 0.56/1.12 fof(f21821,plain,(
% 0.56/1.12 ![X0,X1]: (~r1_tarski(X0,X1)|~r2_hidden(k1_zfmisc_1(X1),X0))),
% 0.56/1.12 inference(resolution,[status(thm)],[f20914,f4505])).
% 0.56/1.12 fof(f21823,plain,(
% 0.56/1.12 ![X0]: (r2_hidden(sk0_0(X0,k1_xboole_0),X0)|k1_xboole_0=X0)),
% 0.56/1.12 inference(resolution,[status(thm)],[f4509,f20897])).
% 0.56/1.12 fof(f21876,plain,(
% 0.56/1.12 $false|~spl0_14),
% 0.56/1.12 inference(backward_subsumption_resolution,[status(thm)],[f5611,f18575])).
% 0.56/1.12 fof(f21877,plain,(
% 0.56/1.12 ~spl0_14),
% 0.56/1.12 inference(contradiction_clause,[status(thm)],[f21876])).
% 0.56/1.12 fof(f21882,plain,(
% 0.56/1.12 spl0_630 <=> m1_subset_1(sk0_1207,k1_zfmisc_1(k1_zfmisc_1(sk0_1206)))),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f21884,plain,(
% 0.56/1.12 ~m1_subset_1(sk0_1207,k1_zfmisc_1(k1_zfmisc_1(sk0_1206)))|spl0_630),
% 0.56/1.12 inference(component_clause,[status(thm)],[f21882])).
% 0.56/1.12 fof(f21890,plain,(
% 0.56/1.12 $false|spl0_630),
% 0.56/1.12 inference(forward_subsumption_resolution,[status(thm)],[f21884,f17608])).
% 0.56/1.12 fof(f21891,plain,(
% 0.56/1.12 spl0_630),
% 0.56/1.12 inference(contradiction_clause,[status(thm)],[f21890])).
% 0.56/1.12 fof(f21892,plain,(
% 0.56/1.12 ![X0,X1]: (~r1_tarski(k1_zfmisc_1(X0),X1)|~r1_tarski(k1_zfmisc_1(X1),X0))),
% 0.56/1.12 inference(resolution,[status(thm)],[f21821,f20914])).
% 0.56/1.12 fof(f21893,plain,(
% 0.56/1.12 spl0_632 <=> k1_xboole_0=k1_xboole_0),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f21913,plain,(
% 0.56/1.12 ![X0,X1,X2]: (v1_relat_1(X0)|~r1_tarski(X0,k2_zfmisc_1(X1,X2)))),
% 0.56/1.12 inference(resolution,[status(thm)],[f7448,f5837])).
% 0.56/1.12 fof(f21921,plain,(
% 0.56/1.12 k5_setfam_1(sk0_1206,sk0_1207)=k3_tarski(sk0_1207)),
% 0.56/1.12 inference(resolution,[status(thm)],[f5819,f17608])).
% 0.56/1.12 fof(f21922,plain,(
% 0.56/1.12 ![X0]: (k5_setfam_1(X0,k1_xboole_0)=k3_tarski(k1_xboole_0))),
% 0.56/1.12 inference(resolution,[status(thm)],[f5819,f5360])).
% 0.56/1.12 fof(f21926,plain,(
% 0.56/1.12 ![X0]: (~r2_hidden(X0,sk0_1207)|m1_subset_1(X0,k1_zfmisc_1(sk0_1206)))),
% 0.56/1.12 inference(resolution,[status(thm)],[f5840,f17608])).
% 0.56/1.12 fof(f22029,plain,(
% 0.56/1.12 spl0_640 <=> m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(sk0_1206)))),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f22031,plain,(
% 0.56/1.12 ~m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(sk0_1206)))|spl0_640),
% 0.56/1.12 inference(component_clause,[status(thm)],[f22029])).
% 0.56/1.12 fof(f22037,plain,(
% 0.56/1.12 $false|spl0_640),
% 0.56/1.12 inference(forward_subsumption_resolution,[status(thm)],[f22031,f5360])).
% 0.56/1.12 fof(f22038,plain,(
% 0.56/1.12 spl0_640),
% 0.56/1.12 inference(contradiction_clause,[status(thm)],[f22037])).
% 0.56/1.12 fof(f22043,plain,(
% 0.56/1.12 spl0_642 <=> ~r2_hidden(X0,k1_xboole_0)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f22046,plain,(
% 0.56/1.12 spl0_643 <=> ~v1_xboole_0(X1)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f22047,plain,(
% 0.56/1.12 ![X0]: (~v1_xboole_0(X0)|~spl0_643)),
% 0.56/1.12 inference(component_clause,[status(thm)],[f22046])).
% 0.56/1.12 fof(f22049,plain,(
% 0.56/1.12 ![X0,X1]: (~r2_hidden(X0,k1_xboole_0)|~v1_xboole_0(X1))),
% 0.56/1.12 inference(resolution,[status(thm)],[f5843,f5360])).
% 0.56/1.12 fof(f22050,plain,(
% 0.56/1.12 spl0_642|spl0_643),
% 0.56/1.12 inference(split_clause,[status(thm)],[f22049,f22043,f22046])).
% 0.56/1.12 fof(f22051,plain,(
% 0.56/1.12 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~v1_xboole_0(X2)|~r1_tarski(X1,X2))),
% 0.56/1.12 inference(resolution,[status(thm)],[f5843,f5837])).
% 0.56/1.12 fof(f22053,plain,(
% 0.56/1.12 ![X0]: (~m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(X0)))|m1_subset_1(k3_tarski(k1_xboole_0),k1_zfmisc_1(X0)))),
% 0.56/1.12 inference(paramodulation,[status(thm)],[f21922,f5817])).
% 0.56/1.12 fof(f22054,plain,(
% 0.56/1.12 ![X0]: (m1_subset_1(k3_tarski(k1_xboole_0),k1_zfmisc_1(X0)))),
% 0.56/1.12 inference(forward_subsumption_resolution,[status(thm)],[f22053,f5360])).
% 0.56/1.12 fof(f22057,plain,(
% 0.56/1.12 spl0_644 <=> ~r2_hidden(X0,k3_tarski(k1_xboole_0))),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f22058,plain,(
% 0.56/1.12 ![X0]: (~r2_hidden(X0,k3_tarski(k1_xboole_0))|~spl0_644)),
% 0.56/1.12 inference(component_clause,[status(thm)],[f22057])).
% 0.56/1.12 fof(f22060,plain,(
% 0.56/1.12 ![X0,X1]: (~r2_hidden(X0,k3_tarski(k1_xboole_0))|~v1_xboole_0(X1))),
% 0.56/1.12 inference(resolution,[status(thm)],[f22054,f5843])).
% 0.56/1.12 fof(f22061,plain,(
% 0.56/1.12 spl0_644|spl0_643),
% 0.56/1.12 inference(split_clause,[status(thm)],[f22060,f22057,f22046])).
% 0.56/1.12 fof(f22191,plain,(
% 0.56/1.12 $false|~spl0_643),
% 0.56/1.12 inference(backward_subsumption_resolution,[status(thm)],[f6495,f22047])).
% 0.56/1.12 fof(f22192,plain,(
% 0.56/1.12 ~spl0_643),
% 0.56/1.12 inference(contradiction_clause,[status(thm)],[f22191])).
% 0.56/1.12 fof(f22194,plain,(
% 0.56/1.12 k1_xboole_0=k3_tarski(k1_xboole_0)|~spl0_644),
% 0.56/1.12 inference(resolution,[status(thm)],[f22058,f21823])).
% 0.56/1.12 fof(f22272,plain,(
% 0.56/1.12 k1_xboole_0=k3_tarski(sk0_1207)|~spl0_419),
% 0.56/1.12 inference(forward_demodulation,[status(thm)],[f20102,f21921])).
% 0.56/1.12 fof(f22274,plain,(
% 0.56/1.12 ![X0]: (~r2_hidden(X0,sk0_1207)|r1_tarski(X0,sk0_1206))),
% 0.56/1.12 inference(resolution,[status(thm)],[f21926,f5836])).
% 0.56/1.12 fof(f22278,plain,(
% 0.56/1.12 ![X0]: (~r2_hidden(k1_zfmisc_1(X0),sk0_1207)|~r1_tarski(k1_zfmisc_1(sk0_1206),X0))),
% 0.56/1.12 inference(resolution,[status(thm)],[f22274,f21892])).
% 0.56/1.12 fof(f22443,plain,(
% 0.56/1.12 spl0_652 <=> r2_hidden(k1_zfmisc_1(sk0_1206),sk0_1207)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f22446,plain,(
% 0.56/1.12 ~r2_hidden(k1_zfmisc_1(sk0_1206),sk0_1207)|~r2_hidden(k1_zfmisc_1(sk0_1206),sk0_1207)),
% 0.56/1.12 inference(resolution,[status(thm)],[f22278,f22274])).
% 0.56/1.12 fof(f22447,plain,(
% 0.56/1.12 ~spl0_652),
% 0.56/1.12 inference(split_clause,[status(thm)],[f22446,f22443])).
% 0.56/1.12 fof(f22469,plain,(
% 0.56/1.12 ![X0,X1]: (~r2_hidden(X0,X1)|~v1_xboole_0(X1))),
% 0.56/1.12 inference(resolution,[status(thm)],[f22051,f4580])).
% 0.56/1.12 fof(f22527,plain,(
% 0.56/1.12 ![X0,X1]: (r1_tarski(X0,X1)|~v1_xboole_0(X0))),
% 0.56/1.12 inference(resolution,[status(thm)],[f4532,f22469])).
% 0.56/1.12 fof(f22677,plain,(
% 0.56/1.12 k5_setfam_1(sk0_1206,sk0_1207)=k3_tarski(sk0_1207)),
% 0.56/1.12 inference(resolution,[status(thm)],[f17608,f5819])).
% 0.56/1.12 fof(f22689,plain,(
% 0.56/1.12 spl0_665 <=> ~v1_xboole_0(X0)|~r2_hidden(X1,X0)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f22692,plain,(
% 0.56/1.12 ![X0,X1,X2]: (~v1_xboole_0(X0)|~r2_hidden(X1,X0)|~v1_xboole_0(X2))),
% 0.56/1.12 inference(resolution,[status(thm)],[f22527,f22051])).
% 0.56/1.12 fof(f22693,plain,(
% 0.56/1.12 spl0_665|spl0_643),
% 0.56/1.12 inference(split_clause,[status(thm)],[f22692,f22689,f22046])).
% 0.56/1.12 fof(f22772,plain,(
% 0.56/1.12 ![X0,X1]: (~r2_hidden(X0,k3_tarski(X1))|~v1_xboole_0(X1))),
% 0.56/1.12 inference(resolution,[status(thm)],[f20893,f22469])).
% 0.56/1.12 fof(f22868,plain,(
% 0.56/1.12 ![X0,X1]: (r2_hidden(X0,k1_xboole_0)|~r2_hidden(X0,X1)|~r2_hidden(X1,sk0_1207)|~spl0_419)),
% 0.56/1.12 inference(paramodulation,[status(thm)],[f22272,f20894])).
% 0.56/1.12 fof(f22869,plain,(
% 0.56/1.12 ![X0,X1]: (~r2_hidden(X0,X1)|~r2_hidden(X1,sk0_1207)|~spl0_419)),
% 0.56/1.12 inference(forward_subsumption_resolution,[status(thm)],[f22868,f20897])).
% 0.56/1.12 fof(f22879,plain,(
% 0.56/1.12 spl0_668 <=> v1_xboole_0(k1_xboole_0)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f22881,plain,(
% 0.56/1.12 ~v1_xboole_0(k1_xboole_0)|spl0_668),
% 0.56/1.12 inference(component_clause,[status(thm)],[f22879])).
% 0.56/1.12 fof(f22884,plain,(
% 0.56/1.12 $false|spl0_668),
% 0.56/1.12 inference(forward_subsumption_resolution,[status(thm)],[f22881,f7209])).
% 0.56/1.12 fof(f22885,plain,(
% 0.56/1.12 spl0_668),
% 0.56/1.12 inference(contradiction_clause,[status(thm)],[f22884])).
% 0.56/1.12 fof(f23036,plain,(
% 0.56/1.12 ![X0,X1]: (~v1_xboole_0(X0)|r1_tarski(k3_tarski(X0),X1))),
% 0.56/1.12 inference(resolution,[status(thm)],[f22772,f4532])).
% 0.56/1.12 fof(f23039,plain,(
% 0.56/1.12 ![X0]: (~v1_xboole_0(X0)|k1_xboole_0=k3_tarski(X0))),
% 0.56/1.12 inference(resolution,[status(thm)],[f22772,f21823])).
% 0.56/1.12 fof(f23051,plain,(
% 0.56/1.12 ~v1_xboole_0(k1_xboole_0)|k1_xboole_0=k1_xboole_0|~spl0_644),
% 0.56/1.12 inference(paramodulation,[status(thm)],[f22194,f23039])).
% 0.56/1.12 fof(f23052,plain,(
% 0.56/1.12 ~spl0_668|spl0_632|~spl0_644),
% 0.56/1.12 inference(split_clause,[status(thm)],[f23051,f22879,f21893,f22057])).
% 0.56/1.12 fof(f23053,plain,(
% 0.56/1.12 ![X0]: (~v1_xboole_0(X0)|v1_relat_1(k3_tarski(X0)))),
% 0.56/1.12 inference(resolution,[status(thm)],[f23036,f21913])).
% 0.56/1.12 fof(f23055,plain,(
% 0.56/1.12 spl0_677 <=> ~v1_xboole_0(X0)|~r2_hidden(X1,k3_tarski(X0))),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f23058,plain,(
% 0.56/1.12 ![X0,X1,X2]: (~v1_xboole_0(X0)|~r2_hidden(X1,k3_tarski(X0))|~v1_xboole_0(X2))),
% 0.56/1.12 inference(resolution,[status(thm)],[f23036,f22051])).
% 0.56/1.12 fof(f23059,plain,(
% 0.56/1.12 spl0_677|spl0_643),
% 0.56/1.12 inference(split_clause,[status(thm)],[f23058,f23055,f22046])).
% 0.56/1.12 fof(f23060,plain,(
% 0.56/1.12 spl0_678 <=> r1_tarski(k1_xboole_0,X0)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f23065,plain,(
% 0.56/1.12 ![X0]: (~v1_xboole_0(k1_xboole_0)|r1_tarski(k1_xboole_0,X0)|~spl0_644)),
% 0.56/1.12 inference(paramodulation,[status(thm)],[f22194,f23036])).
% 0.56/1.12 fof(f23066,plain,(
% 0.56/1.12 ~spl0_668|spl0_678|~spl0_644),
% 0.56/1.12 inference(split_clause,[status(thm)],[f23065,f22879,f23060,f22057])).
% 0.56/1.12 fof(f23067,plain,(
% 0.56/1.12 spl0_679 <=> v1_relat_1(k1_xboole_0)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f23072,plain,(
% 0.56/1.12 ~v1_xboole_0(k1_xboole_0)|v1_relat_1(k1_xboole_0)|~spl0_644),
% 0.56/1.12 inference(paramodulation,[status(thm)],[f22194,f23053])).
% 0.56/1.12 fof(f23073,plain,(
% 0.56/1.12 ~spl0_668|spl0_679|~spl0_644),
% 0.56/1.12 inference(split_clause,[status(thm)],[f23072,f22879,f23067,f22057])).
% 0.56/1.12 fof(f23235,plain,(
% 0.56/1.12 ![X0]: (~r2_hidden(X0,sk0_1208)|~spl0_419|~spl0_421)),
% 0.56/1.12 inference(resolution,[status(thm)],[f22869,f20109])).
% 0.56/1.12 fof(f23249,plain,(
% 0.56/1.12 k1_xboole_0=sk0_1208|~spl0_419|~spl0_421),
% 0.56/1.12 inference(resolution,[status(thm)],[f23235,f21823])).
% 0.56/1.12 fof(f23250,plain,(
% 0.56/1.12 $false|spl0_422|~spl0_419|~spl0_421),
% 0.56/1.12 inference(forward_subsumption_resolution,[status(thm)],[f23249,f20114])).
% 0.56/1.12 fof(f23251,plain,(
% 0.56/1.12 spl0_422|~spl0_419|~spl0_421),
% 0.56/1.12 inference(contradiction_clause,[status(thm)],[f23250])).
% 0.56/1.12 fof(f23252,plain,(
% 0.56/1.12 ![X0]: (sk0_6(X0,sk0_1207)=k1_xboole_0|X0=k3_tarski(sk0_1207)|r2_hidden(sk0_5(X0,sk0_1207),X0)|~spl0_420)),
% 0.56/1.12 inference(resolution,[status(thm)],[f20105,f4542])).
% 0.56/1.12 fof(f23384,plain,(
% 0.56/1.12 ~k3_tarski(sk0_1207)=k1_xboole_0|spl0_419),
% 0.56/1.12 inference(backward_demodulation,[status(thm)],[f22677,f20103])).
% 0.56/1.12 fof(f23390,plain,(
% 0.56/1.12 spl0_687 <=> m1_subset_1(k3_tarski(sk0_1207),k1_zfmisc_1(sk0_1206))),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f23393,plain,(
% 0.56/1.12 ~m1_subset_1(sk0_1207,k1_zfmisc_1(k1_zfmisc_1(sk0_1206)))|m1_subset_1(k3_tarski(sk0_1207),k1_zfmisc_1(sk0_1206))),
% 0.56/1.12 inference(paramodulation,[status(thm)],[f22677,f5817])).
% 0.56/1.12 fof(f23394,plain,(
% 0.56/1.12 ~spl0_630|spl0_687),
% 0.56/1.12 inference(split_clause,[status(thm)],[f23393,f21882,f23390])).
% 0.56/1.12 fof(f23633,plain,(
% 0.56/1.12 spl0_703 <=> sk0_6(k1_xboole_0,sk0_1207)=k1_xboole_0),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f23634,plain,(
% 0.56/1.12 sk0_6(k1_xboole_0,sk0_1207)=k1_xboole_0|~spl0_703),
% 0.56/1.12 inference(component_clause,[status(thm)],[f23633])).
% 0.56/1.12 fof(f23636,plain,(
% 0.56/1.12 spl0_704 <=> k1_xboole_0=k3_tarski(sk0_1207)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f23637,plain,(
% 0.56/1.12 k1_xboole_0=k3_tarski(sk0_1207)|~spl0_704),
% 0.56/1.12 inference(component_clause,[status(thm)],[f23636])).
% 0.56/1.12 fof(f23639,plain,(
% 0.56/1.12 sk0_6(k1_xboole_0,sk0_1207)=k1_xboole_0|k1_xboole_0=k3_tarski(sk0_1207)|~spl0_420),
% 0.56/1.12 inference(resolution,[status(thm)],[f23252,f20897])).
% 0.56/1.12 fof(f23640,plain,(
% 0.56/1.12 spl0_703|spl0_704|~spl0_420),
% 0.56/1.12 inference(split_clause,[status(thm)],[f23639,f23633,f23636,f20104])).
% 0.56/1.12 fof(f23673,plain,(
% 0.56/1.12 $false|spl0_419|~spl0_704),
% 0.56/1.12 inference(forward_subsumption_resolution,[status(thm)],[f23637,f23384])).
% 0.56/1.12 fof(f23674,plain,(
% 0.56/1.12 spl0_419|~spl0_704),
% 0.56/1.12 inference(contradiction_clause,[status(thm)],[f23673])).
% 0.56/1.12 fof(f23746,plain,(
% 0.56/1.12 spl0_708 <=> r2_hidden(sk0_5(k1_xboole_0,sk0_1207),k1_xboole_0)),
% 0.56/1.12 introduced(split_symbol_definition)).
% 0.56/1.12 fof(f23747,plain,(
% 0.56/1.12 r2_hidden(sk0_5(k1_xboole_0,sk0_1207),k1_xboole_0)|~spl0_708),
% 0.56/1.12 inference(component_clause,[status(thm)],[f23746])).
% 0.56/1.12 fof(f23751,plain,(
% 0.56/1.12 k1_xboole_0=k3_tarski(sk0_1207)|r2_hidden(sk0_5(k1_xboole_0,sk0_1207),k1_xboole_0)|r2_hidden(sk0_5(k1_xboole_0,sk0_1207),k1_xboole_0)|~spl0_703),
% 0.56/1.12 inference(paramodulation,[status(thm)],[f23634,f4541])).
% 0.56/1.12 fof(f23752,plain,(
% 0.56/1.15 spl0_704|spl0_708|~spl0_703),
% 0.56/1.15 inference(split_clause,[status(thm)],[f23751,f23636,f23746,f23633])).
% 0.56/1.15 fof(f23753,plain,(
% 0.56/1.15 $false|~spl0_708),
% 0.56/1.15 inference(forward_subsumption_resolution,[status(thm)],[f23747,f20897])).
% 0.56/1.15 fof(f23754,plain,(
% 0.56/1.15 ~spl0_708),
% 0.56/1.15 inference(contradiction_clause,[status(thm)],[f23753])).
% 0.56/1.15 fof(f23755,plain,(
% 0.56/1.15 $false),
% 0.56/1.15 inference(sat_refutation,[status(thm)],[f18577,f18581,f20107,f20111,f20115,f21877,f21891,f22038,f22050,f22061,f22192,f22447,f22693,f22885,f23052,f23059,f23066,f23073,f23251,f23394,f23640,f23674,f23752,f23754])).
% 0.56/1.15 % SZS output end CNFRefutation for theBenchmark.p
% 4.48/1.19 % Elapsed time: 0.844345 seconds
% 4.48/1.19 % CPU time: 4.389758 seconds
% 4.48/1.19 % Memory used: 666.050 MB
%------------------------------------------------------------------------------