TSTP Solution File: SEU131+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU131+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:41:07 EDT 2024
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU131+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 19:37:11 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f2,axiom,(
% 0.19/0.49 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f4,axiom,(
% 0.19/0.49 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f5,axiom,(
% 0.19/0.49 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f7,axiom,(
% 0.19/0.49 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f9,axiom,(
% 0.19/0.49 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f10,axiom,(
% 0.19/0.49 (! [A,B] :( disjoint(A,B)<=> set_intersection2(A,B) = empty_set ) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f15,axiom,(
% 0.19/0.49 empty(empty_set) ),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f20,conjecture,(
% 0.19/0.49 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f21,negated_conjecture,(
% 0.19/0.49 ~((! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) ))),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f20])).
% 0.19/0.49 fof(f27,lemma,(
% 0.19/0.49 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f29,axiom,(
% 0.19/0.49 (! [A] : set_union2(A,empty_set) = A )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f33,axiom,(
% 0.19/0.49 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f35,lemma,(
% 0.19/0.49 (! [A] : subset(empty_set,A) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f38,lemma,(
% 0.19/0.49 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f39,axiom,(
% 0.19/0.49 (! [A] : set_difference(empty_set,A) = empty_set )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f42,axiom,(
% 0.19/0.49 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f43,lemma,(
% 0.19/0.49 (! [A,B] : subset(A,set_union2(A,B)) )),
% 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f48,plain,(
% 0.19/0.49 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.49 fof(f50,plain,(
% 0.19/0.49 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f4])).
% 0.19/0.49 fof(f51,plain,(
% 0.19/0.49 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f50])).
% 0.19/0.49 fof(f54,plain,(
% 0.19/0.49 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f51])).
% 0.19/0.49 fof(f55,plain,(
% 0.19/0.49 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f5])).
% 0.19/0.49 fof(f56,plain,(
% 0.19/0.49 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f55])).
% 0.19/0.49 fof(f57,plain,(
% 0.19/0.49 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sk0_0(A),A)))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f56])).
% 0.19/0.49 fof(f58,plain,(
% 0.19/0.49 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.19/0.49 fof(f59,plain,(
% 0.19/0.49 ![X0]: (X0=empty_set|in(sk0_0(X0),X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f57])).
% 0.19/0.49 fof(f69,plain,(
% 0.19/0.49 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.19/0.49 fof(f70,plain,(
% 0.19/0.49 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f69])).
% 0.19/0.49 fof(f71,plain,(
% 0.19/0.49 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f70])).
% 0.19/0.49 fof(f72,plain,(
% 0.19/0.49 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_2(B,A),A)&~in(sk0_2(B,A),B))))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f71])).
% 0.19/0.49 fof(f73,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.19/0.49 fof(f74,plain,(
% 0.19/0.49 ![X0,X1]: (subset(X0,X1)|in(sk0_2(X1,X0),X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.19/0.49 fof(f75,plain,(
% 0.19/0.49 ![X0,X1]: (subset(X0,X1)|~in(sk0_2(X1,X0),X1))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f72])).
% 0.19/0.49 fof(f85,plain,(
% 0.19/0.49 ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f9])).
% 0.19/0.49 fof(f86,plain,(
% 0.19/0.49 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f85])).
% 0.19/0.49 fof(f87,plain,(
% 0.19/0.49 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|((~in(sk0_4(C,B,A),C)|(~in(sk0_4(C,B,A),A)|in(sk0_4(C,B,A),B)))&(in(sk0_4(C,B,A),C)|(in(sk0_4(C,B,A),A)&~in(sk0_4(C,B,A),B))))))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f86])).
% 0.19/0.49 fof(f88,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f87])).
% 0.19/0.49 fof(f89,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f87])).
% 0.19/0.49 fof(f90,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|in(X3,X0)|~in(X3,X1)|in(X3,X2))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f87])).
% 0.19/0.49 fof(f94,plain,(
% 0.19/0.49 ![A,B]: ((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f10])).
% 0.19/0.49 fof(f95,plain,(
% 0.19/0.49 (![A,B]: (~disjoint(A,B)|set_intersection2(A,B)=empty_set))&(![A,B]: (disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f94])).
% 0.19/0.49 fof(f97,plain,(
% 0.19/0.49 ![X0,X1]: (disjoint(X0,X1)|~set_intersection2(X0,X1)=empty_set)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f95])).
% 0.19/0.49 fof(f98,plain,(
% 0.19/0.49 empty(empty_set)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.49 fof(f109,plain,(
% 0.19/0.49 (?[A,B]: (set_difference(A,B)=empty_set<~>subset(A,B)))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.19/0.49 fof(f110,plain,(
% 0.19/0.49 ?[A,B]: ((set_difference(A,B)=empty_set|subset(A,B))&(~set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.19/0.49 inference(NNF_transformation,[status(esa)],[f109])).
% 0.19/0.49 fof(f111,plain,(
% 0.19/0.49 ((set_difference(sk0_5,sk0_6)=empty_set|subset(sk0_5,sk0_6))&(~set_difference(sk0_5,sk0_6)=empty_set|~subset(sk0_5,sk0_6)))),
% 0.19/0.49 inference(skolemization,[status(esa)],[f110])).
% 0.19/0.49 fof(f112,plain,(
% 0.19/0.49 set_difference(sk0_5,sk0_6)=empty_set|subset(sk0_5,sk0_6)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f111])).
% 0.19/0.49 fof(f113,plain,(
% 0.19/0.49 ~set_difference(sk0_5,sk0_6)=empty_set|~subset(sk0_5,sk0_6)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f111])).
% 0.19/0.49 fof(f124,plain,(
% 0.19/0.49 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.49 fof(f127,plain,(
% 0.19/0.49 ![X0]: (set_union2(X0,empty_set)=X0)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.49 fof(f136,plain,(
% 0.19/0.49 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f33])).
% 0.19/0.49 fof(f142,plain,(
% 0.19/0.49 ![X0]: (subset(empty_set,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f35])).
% 0.19/0.49 fof(f150,plain,(
% 0.19/0.49 ![A]: (~subset(A,empty_set)|A=empty_set)),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.19/0.49 fof(f151,plain,(
% 0.19/0.49 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f150])).
% 0.19/0.49 fof(f152,plain,(
% 0.19/0.49 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f39])).
% 0.19/0.49 fof(f160,plain,(
% 0.19/0.49 ![A,B]: (~in(A,B)|~empty(B))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.19/0.49 fof(f161,plain,(
% 0.19/0.49 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f160])).
% 0.19/0.49 fof(f162,plain,(
% 0.19/0.49 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f161])).
% 0.19/0.49 fof(f163,plain,(
% 0.19/0.49 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.49 fof(f169,plain,(
% 0.19/0.49 spl0_0 <=> set_difference(sk0_5,sk0_6)=empty_set),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f170,plain,(
% 0.19/0.49 set_difference(sk0_5,sk0_6)=empty_set|~spl0_0),
% 0.19/0.49 inference(component_clause,[status(thm)],[f169])).
% 0.19/0.49 fof(f172,plain,(
% 0.19/0.49 spl0_1 <=> subset(sk0_5,sk0_6)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f173,plain,(
% 0.19/0.49 subset(sk0_5,sk0_6)|~spl0_1),
% 0.19/0.49 inference(component_clause,[status(thm)],[f172])).
% 0.19/0.49 fof(f175,plain,(
% 0.19/0.49 spl0_0|spl0_1),
% 0.19/0.49 inference(split_clause,[status(thm)],[f112,f169,f172])).
% 0.19/0.49 fof(f176,plain,(
% 0.19/0.49 ~spl0_0|~spl0_1),
% 0.19/0.49 inference(split_clause,[status(thm)],[f113,f169,f172])).
% 0.19/0.49 fof(f179,plain,(
% 0.19/0.49 ![X0]: (~in(X0,empty_set))),
% 0.19/0.49 inference(destructive_equality_resolution,[status(esa)],[f58])).
% 0.19/0.49 fof(f186,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|in(X0,X1))),
% 0.19/0.49 inference(destructive_equality_resolution,[status(esa)],[f88])).
% 0.19/0.49 fof(f187,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 0.19/0.49 inference(destructive_equality_resolution,[status(esa)],[f89])).
% 0.19/0.49 fof(f188,plain,(
% 0.19/0.49 ![X0,X1,X2]: (in(X0,set_difference(X1,X2))|~in(X0,X1)|in(X0,X2))),
% 0.19/0.49 inference(destructive_equality_resolution,[status(esa)],[f90])).
% 0.19/0.49 fof(f200,plain,(
% 0.19/0.49 ![X0]: (set_intersection2(empty_set,X0)=empty_set)),
% 0.19/0.49 inference(resolution,[status(thm)],[f124,f151])).
% 0.19/0.49 fof(f203,plain,(
% 0.19/0.49 ![X0,X1]: (X0=set_intersection2(X0,X1)|~subset(X0,set_intersection2(X0,X1)))),
% 0.19/0.49 inference(resolution,[status(thm)],[f124,f54])).
% 0.19/0.49 fof(f206,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~empty(set_difference(X0,X1))|~in(X2,X0)|in(X2,X1))),
% 0.19/0.49 inference(resolution,[status(thm)],[f162,f188])).
% 0.19/0.49 fof(f208,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~in(X0,X1)|in(X0,set_union2(X1,X2)))),
% 0.19/0.49 inference(resolution,[status(thm)],[f163,f73])).
% 0.19/0.49 fof(f213,plain,(
% 0.19/0.49 ![X0]: (X0=set_union2(empty_set,X0))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f127,f48])).
% 0.19/0.49 fof(f234,plain,(
% 0.19/0.49 ![X0,X1]: (set_difference(X0,X1)=empty_set|~in(sk0_0(set_difference(X0,X1)),X1))),
% 0.19/0.49 inference(resolution,[status(thm)],[f59,f187])).
% 0.19/0.49 fof(f235,plain,(
% 0.19/0.49 ![X0,X1]: (set_difference(X0,X1)=empty_set|in(sk0_0(set_difference(X0,X1)),X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f59,f186])).
% 0.19/0.49 fof(f242,plain,(
% 0.19/0.49 ![X0]: (~in(X0,sk0_5)|in(X0,sk0_6)|~spl0_1)),
% 0.19/0.49 inference(resolution,[status(thm)],[f173,f73])).
% 0.19/0.49 fof(f567,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~in(X0,X1)|~empty(set_union2(X1,X2)))),
% 0.19/0.49 inference(resolution,[status(thm)],[f208,f162])).
% 0.19/0.49 fof(f573,plain,(
% 0.19/0.49 spl0_15 <=> empty_set=set_intersection2(empty_set,X0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f576,plain,(
% 0.19/0.49 spl0_16 <=> subset(empty_set,empty_set)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f578,plain,(
% 0.19/0.49 ~subset(empty_set,empty_set)|spl0_16),
% 0.19/0.49 inference(component_clause,[status(thm)],[f576])).
% 0.19/0.49 fof(f579,plain,(
% 0.19/0.49 ![X0]: (empty_set=set_intersection2(empty_set,X0)|~subset(empty_set,empty_set))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f200,f203])).
% 0.19/0.49 fof(f580,plain,(
% 0.19/0.49 spl0_15|~spl0_16),
% 0.19/0.49 inference(split_clause,[status(thm)],[f579,f573,f576])).
% 0.19/0.49 fof(f586,plain,(
% 0.19/0.49 $false|spl0_16),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f578,f142])).
% 0.19/0.49 fof(f587,plain,(
% 0.19/0.49 spl0_16),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f586])).
% 0.19/0.49 fof(f588,plain,(
% 0.19/0.49 spl0_17 <=> empty(empty_set)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f590,plain,(
% 0.19/0.49 ~empty(empty_set)|spl0_17),
% 0.19/0.49 inference(component_clause,[status(thm)],[f588])).
% 0.19/0.49 fof(f591,plain,(
% 0.19/0.49 spl0_18 <=> ~in(X0,empty_set)|in(X0,X1)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f594,plain,(
% 0.19/0.49 ![X0,X1]: (~empty(empty_set)|~in(X0,empty_set)|in(X0,X1))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f152,f206])).
% 0.19/0.49 fof(f595,plain,(
% 0.19/0.49 ~spl0_17|spl0_18),
% 0.19/0.49 inference(split_clause,[status(thm)],[f594,f588,f591])).
% 0.19/0.49 fof(f597,plain,(
% 0.19/0.49 $false|spl0_17),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f590,f98])).
% 0.19/0.49 fof(f598,plain,(
% 0.19/0.49 spl0_17),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f597])).
% 0.19/0.49 fof(f608,plain,(
% 0.19/0.49 spl0_19 <=> ~empty(X0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f609,plain,(
% 0.19/0.49 ![X0]: (~empty(X0)|~spl0_19)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f608])).
% 0.19/0.49 fof(f622,plain,(
% 0.19/0.49 spl0_20 <=> ~subset(empty_set,X0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f623,plain,(
% 0.19/0.49 ![X0]: (~subset(empty_set,X0)|~spl0_20)),
% 0.19/0.49 inference(component_clause,[status(thm)],[f622])).
% 0.19/0.49 fof(f625,plain,(
% 0.19/0.49 spl0_21 <=> empty_set=empty_set),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f633,plain,(
% 0.19/0.49 $false|~spl0_20),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f623,f142])).
% 0.19/0.49 fof(f634,plain,(
% 0.19/0.49 ~spl0_20),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f633])).
% 0.19/0.49 fof(f819,plain,(
% 0.19/0.49 spl0_25 <=> ~in(X0,empty_set)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f822,plain,(
% 0.19/0.49 ![X0,X1]: (~in(X0,empty_set)|~empty(X1))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f213,f567])).
% 0.19/0.49 fof(f823,plain,(
% 0.19/0.49 spl0_25|spl0_19),
% 0.19/0.49 inference(split_clause,[status(thm)],[f822,f819,f608])).
% 0.19/0.49 fof(f877,plain,(
% 0.19/0.49 ![X0]: (set_difference(X0,X0)=empty_set|set_difference(X0,X0)=empty_set)),
% 0.19/0.49 inference(resolution,[status(thm)],[f235,f234])).
% 0.19/0.49 fof(f878,plain,(
% 0.19/0.49 ![X0]: (set_difference(X0,X0)=empty_set)),
% 0.19/0.49 inference(duplicate_literals_removal,[status(esa)],[f877])).
% 0.19/0.49 fof(f884,plain,(
% 0.19/0.49 ![X0]: (set_difference(sk0_5,X0)=empty_set|in(sk0_0(set_difference(sk0_5,X0)),sk0_6)|~spl0_1)),
% 0.19/0.49 inference(resolution,[status(thm)],[f235,f242])).
% 0.19/0.49 fof(f889,plain,(
% 0.19/0.49 ![X0,X1]: (set_difference(X0,X1)=empty_set|~empty(X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f235,f162])).
% 0.19/0.49 fof(f903,plain,(
% 0.19/0.49 spl0_28 <=> ~in(X0,X1)|in(X0,X1)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f906,plain,(
% 0.19/0.49 ![X0,X1]: (~empty(empty_set)|~in(X0,X1)|in(X0,X1))),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f878,f206])).
% 0.19/0.49 fof(f907,plain,(
% 0.19/0.49 ~spl0_17|spl0_28),
% 0.19/0.49 inference(split_clause,[status(thm)],[f906,f588,f903])).
% 0.19/0.49 fof(f919,plain,(
% 0.19/0.49 empty_set=empty_set|~empty(empty_set)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f152,f889])).
% 0.19/0.49 fof(f920,plain,(
% 0.19/0.49 spl0_21|~spl0_17),
% 0.19/0.49 inference(split_clause,[status(thm)],[f919,f625,f588])).
% 0.19/0.49 fof(f944,plain,(
% 0.19/0.49 spl0_31 <=> disjoint(empty_set,X0)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f947,plain,(
% 0.19/0.49 ![X0]: (disjoint(empty_set,X0)|~empty_set=empty_set)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f200,f97])).
% 0.19/0.49 fof(f948,plain,(
% 0.19/0.49 spl0_31|~spl0_21),
% 0.19/0.49 inference(split_clause,[status(thm)],[f947,f944,f625])).
% 0.19/0.49 fof(f949,plain,(
% 0.19/0.49 spl0_32 <=> disjoint(X0,empty_set)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f952,plain,(
% 0.19/0.49 ![X0]: (disjoint(X0,empty_set)|~empty_set=empty_set)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f136,f97])).
% 0.19/0.49 fof(f953,plain,(
% 0.19/0.49 spl0_32|~spl0_21),
% 0.19/0.49 inference(split_clause,[status(thm)],[f952,f949,f625])).
% 0.19/0.49 fof(f1033,plain,(
% 0.19/0.49 set_difference(sk0_5,sk0_6)=empty_set|set_difference(sk0_5,sk0_6)=empty_set|~spl0_1),
% 0.19/0.49 inference(resolution,[status(thm)],[f884,f234])).
% 0.19/0.49 fof(f1034,plain,(
% 0.19/0.49 spl0_0|~spl0_1),
% 0.19/0.49 inference(split_clause,[status(thm)],[f1033,f169,f172])).
% 0.19/0.49 fof(f1069,plain,(
% 0.19/0.49 ![X0]: (in(X0,empty_set)|~in(X0,sk0_5)|in(X0,sk0_6)|~spl0_0)),
% 0.19/0.49 inference(paramodulation,[status(thm)],[f170,f188])).
% 0.19/0.49 fof(f1070,plain,(
% 0.19/0.49 ![X0]: (~in(X0,sk0_5)|in(X0,sk0_6)|~spl0_0)),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1069,f179])).
% 0.19/0.49 fof(f1073,plain,(
% 0.19/0.49 ![X0]: (in(sk0_2(X0,sk0_5),sk0_6)|subset(sk0_5,X0)|~spl0_0)),
% 0.19/0.49 inference(resolution,[status(thm)],[f1070,f74])).
% 0.19/0.49 fof(f1088,plain,(
% 0.19/0.49 $false|~spl0_19),
% 0.19/0.49 inference(backward_subsumption_resolution,[status(thm)],[f98,f609])).
% 0.19/0.49 fof(f1089,plain,(
% 0.19/0.49 ~spl0_19),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f1088])).
% 0.19/0.49 fof(f1551,plain,(
% 0.19/0.49 subset(sk0_5,sk0_6)|subset(sk0_5,sk0_6)|~spl0_0),
% 0.19/0.49 inference(resolution,[status(thm)],[f75,f1073])).
% 0.19/0.49 fof(f1552,plain,(
% 0.19/0.49 spl0_1|~spl0_0),
% 0.19/0.49 inference(split_clause,[status(thm)],[f1551,f172,f169])).
% 0.19/0.49 fof(f1558,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f175,f176,f580,f587,f595,f598,f634,f823,f907,f920,f948,f953,f1034,f1089,f1552])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.50 % Elapsed time: 0.147461 seconds
% 0.19/0.50 % CPU time: 1.021386 seconds
% 0.19/0.50 % Total memory used: 67.729 MB
% 0.19/0.50 % Net memory used: 66.939 MB
%------------------------------------------------------------------------------