TSTP Solution File: SET637+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:40:03 EDT 2024

% Result   : Theorem 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n010.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 21:32:35 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.15/0.31  % Drodi V3.6.0
% 0.15/0.36  % Refutation found
% 0.15/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.36  fof(f1,axiom,(
% 0.15/0.36    (! [B,C,D] :( member(D,intersection(B,C))<=> ( member(D,B)& member(D,C) ) ) )),
% 0.15/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f2,axiom,(
% 0.15/0.36    (! [B,C] :( intersect(B,C)<=> (? [D] :( member(D,B)& member(D,C) ) )) )),
% 0.15/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f3,axiom,(
% 0.15/0.36    (! [B] : ~ member(B,empty_set) )),
% 0.15/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f4,axiom,(
% 0.15/0.36    (! [B,C] :( B = C<=> (! [D] :( member(D,B)<=> member(D,C) ) )) )),
% 0.15/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f5,axiom,(
% 0.15/0.36    (! [B,C] :( not_equal(B,C)<=> B != C ) )),
% 0.15/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f6,axiom,(
% 0.15/0.36    (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.15/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f8,axiom,(
% 0.15/0.36    (! [B] :( empty(B)<=> (! [C] : ~ member(C,B) )) )),
% 0.15/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f9,conjecture,(
% 0.15/0.36    (! [B,C] :( intersect(B,C)<=> not_equal(intersection(B,C),empty_set) ) )),
% 0.15/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36  fof(f10,negated_conjecture,(
% 0.15/0.36    ~((! [B,C] :( intersect(B,C)<=> not_equal(intersection(B,C),empty_set) ) ))),
% 0.15/0.36    inference(negated_conjecture,[status(cth)],[f9])).
% 0.15/0.36  fof(f11,plain,(
% 0.15/0.36    ![B,C,D]: ((~member(D,intersection(B,C))|(member(D,B)&member(D,C)))&(member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 0.15/0.36    inference(NNF_transformation,[status(esa)],[f1])).
% 0.15/0.36  fof(f12,plain,(
% 0.15/0.36    (![B,C,D]: (~member(D,intersection(B,C))|(member(D,B)&member(D,C))))&(![B,C,D]: (member(D,intersection(B,C))|(~member(D,B)|~member(D,C))))),
% 0.15/0.36    inference(miniscoping,[status(esa)],[f11])).
% 0.15/0.36  fof(f13,plain,(
% 0.15/0.36    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.36  fof(f14,plain,(
% 0.15/0.36    ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.36  fof(f15,plain,(
% 0.15/0.36    ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.36  fof(f16,plain,(
% 0.15/0.36    ![B,C]: ((~intersect(B,C)|(?[D]: (member(D,B)&member(D,C))))&(intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.15/0.36    inference(NNF_transformation,[status(esa)],[f2])).
% 0.15/0.36  fof(f17,plain,(
% 0.15/0.36    (![B,C]: (~intersect(B,C)|(?[D]: (member(D,B)&member(D,C)))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.15/0.36    inference(miniscoping,[status(esa)],[f16])).
% 0.15/0.36  fof(f18,plain,(
% 0.15/0.36    (![B,C]: (~intersect(B,C)|(member(sk0_0(C,B),B)&member(sk0_0(C,B),C))))&(![B,C]: (intersect(B,C)|(![D]: (~member(D,B)|~member(D,C)))))),
% 0.15/0.36    inference(skolemization,[status(esa)],[f17])).
% 0.15/0.36  fof(f19,plain,(
% 0.15/0.36    ![X0,X1]: (~intersect(X0,X1)|member(sk0_0(X1,X0),X0))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.36  fof(f20,plain,(
% 0.15/0.36    ![X0,X1]: (~intersect(X0,X1)|member(sk0_0(X1,X0),X1))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.36  fof(f21,plain,(
% 0.15/0.36    ![X0,X1,X2]: (intersect(X0,X1)|~member(X2,X0)|~member(X2,X1))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.36  fof(f22,plain,(
% 0.15/0.36    ![X0]: (~member(X0,empty_set))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.36  fof(f23,plain,(
% 0.15/0.36    ![B,C]: ((~B=C|(![D]: ((~member(D,B)|member(D,C))&(member(D,B)|~member(D,C)))))&(B=C|(?[D]: ((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))),
% 0.15/0.36    inference(NNF_transformation,[status(esa)],[f4])).
% 0.15/0.36  fof(f24,plain,(
% 0.15/0.36    (![B,C]: (~B=C|((![D]: (~member(D,B)|member(D,C)))&(![D]: (member(D,B)|~member(D,C))))))&(![B,C]: (B=C|(?[D]: ((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))),
% 0.15/0.36    inference(miniscoping,[status(esa)],[f23])).
% 0.15/0.36  fof(f25,plain,(
% 0.15/0.36    (![B,C]: (~B=C|((![D]: (~member(D,B)|member(D,C)))&(![D]: (member(D,B)|~member(D,C))))))&(![B,C]: (B=C|((~member(sk0_1(C,B),B)|~member(sk0_1(C,B),C))&(member(sk0_1(C,B),B)|member(sk0_1(C,B),C)))))),
% 0.15/0.36    inference(skolemization,[status(esa)],[f24])).
% 0.15/0.36  fof(f29,plain,(
% 0.15/0.36    ![X0,X1]: (X0=X1|member(sk0_1(X1,X0),X0)|member(sk0_1(X1,X0),X1))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.36  fof(f30,plain,(
% 0.15/0.36    ![B,C]: ((~not_equal(B,C)|~B=C)&(not_equal(B,C)|B=C))),
% 0.15/0.36    inference(NNF_transformation,[status(esa)],[f5])).
% 0.15/0.36  fof(f31,plain,(
% 0.15/0.36    (![B,C]: (~not_equal(B,C)|~B=C))&(![B,C]: (not_equal(B,C)|B=C))),
% 0.15/0.36    inference(miniscoping,[status(esa)],[f30])).
% 0.15/0.36  fof(f32,plain,(
% 0.15/0.36    ![X0,X1]: (~not_equal(X0,X1)|~X0=X1)),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.36  fof(f33,plain,(
% 0.15/0.36    ![X0,X1]: (not_equal(X0,X1)|X0=X1)),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.36  fof(f34,plain,(
% 0.15/0.36    ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.36  fof(f37,plain,(
% 0.15/0.36    ![B]: ((~empty(B)|(![C]: ~member(C,B)))&(empty(B)|(?[C]: member(C,B))))),
% 0.15/0.36    inference(NNF_transformation,[status(esa)],[f8])).
% 0.15/0.36  fof(f38,plain,(
% 0.15/0.36    (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|(?[C]: member(C,B))))),
% 0.15/0.36    inference(miniscoping,[status(esa)],[f37])).
% 0.15/0.36  fof(f39,plain,(
% 0.15/0.36    (![B]: (~empty(B)|(![C]: ~member(C,B))))&(![B]: (empty(B)|member(sk0_2(B),B)))),
% 0.15/0.36    inference(skolemization,[status(esa)],[f38])).
% 0.15/0.36  fof(f40,plain,(
% 0.15/0.36    ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f39])).
% 0.15/0.36  fof(f41,plain,(
% 0.15/0.36    ![X0]: (empty(X0)|member(sk0_2(X0),X0))),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f39])).
% 0.15/0.36  fof(f42,plain,(
% 0.15/0.36    (?[B,C]: (intersect(B,C)<~>not_equal(intersection(B,C),empty_set)))),
% 0.15/0.36    inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.15/0.36  fof(f43,plain,(
% 0.15/0.36    ?[B,C]: ((intersect(B,C)|not_equal(intersection(B,C),empty_set))&(~intersect(B,C)|~not_equal(intersection(B,C),empty_set)))),
% 0.15/0.36    inference(NNF_transformation,[status(esa)],[f42])).
% 0.15/0.36  fof(f44,plain,(
% 0.15/0.36    ((intersect(sk0_3,sk0_4)|not_equal(intersection(sk0_3,sk0_4),empty_set))&(~intersect(sk0_3,sk0_4)|~not_equal(intersection(sk0_3,sk0_4),empty_set)))),
% 0.15/0.36    inference(skolemization,[status(esa)],[f43])).
% 0.15/0.36  fof(f45,plain,(
% 0.15/0.36    intersect(sk0_3,sk0_4)|not_equal(intersection(sk0_3,sk0_4),empty_set)),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f44])).
% 0.15/0.36  fof(f46,plain,(
% 0.15/0.36    ~intersect(sk0_3,sk0_4)|~not_equal(intersection(sk0_3,sk0_4),empty_set)),
% 0.15/0.36    inference(cnf_transformation,[status(esa)],[f44])).
% 0.15/0.36  fof(f47,plain,(
% 0.15/0.36    spl0_0 <=> intersect(sk0_3,sk0_4)),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f48,plain,(
% 0.15/0.36    intersect(sk0_3,sk0_4)|~spl0_0),
% 0.15/0.36    inference(component_clause,[status(thm)],[f47])).
% 0.15/0.36  fof(f49,plain,(
% 0.15/0.36    ~intersect(sk0_3,sk0_4)|spl0_0),
% 0.15/0.36    inference(component_clause,[status(thm)],[f47])).
% 0.15/0.36  fof(f50,plain,(
% 0.15/0.36    spl0_1 <=> not_equal(intersection(sk0_3,sk0_4),empty_set)),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f51,plain,(
% 0.15/0.36    not_equal(intersection(sk0_3,sk0_4),empty_set)|~spl0_1),
% 0.15/0.36    inference(component_clause,[status(thm)],[f50])).
% 0.15/0.36  fof(f52,plain,(
% 0.15/0.36    ~not_equal(intersection(sk0_3,sk0_4),empty_set)|spl0_1),
% 0.15/0.36    inference(component_clause,[status(thm)],[f50])).
% 0.15/0.36  fof(f53,plain,(
% 0.15/0.36    spl0_0|spl0_1),
% 0.15/0.36    inference(split_clause,[status(thm)],[f45,f47,f50])).
% 0.15/0.36  fof(f54,plain,(
% 0.15/0.36    ~spl0_0|~spl0_1),
% 0.15/0.36    inference(split_clause,[status(thm)],[f46,f47,f50])).
% 0.15/0.36  fof(f55,plain,(
% 0.15/0.36    ![X0]: (~not_equal(X0,X0))),
% 0.15/0.36    inference(destructive_equality_resolution,[status(esa)],[f32])).
% 0.15/0.36  fof(f60,plain,(
% 0.15/0.36    ![X0,X1]: (empty(intersection(X0,X1))|member(sk0_2(intersection(X0,X1)),X1))),
% 0.15/0.36    inference(resolution,[status(thm)],[f41,f14])).
% 0.15/0.36  fof(f61,plain,(
% 0.15/0.36    ![X0,X1]: (empty(intersection(X0,X1))|member(sk0_2(intersection(X0,X1)),X0))),
% 0.15/0.36    inference(resolution,[status(thm)],[f41,f13])).
% 0.15/0.36  fof(f63,plain,(
% 0.15/0.36    ![X0,X1]: (empty(X0)|member(sk0_2(X0),intersection(X1,X0))|~member(sk0_2(X0),X1))),
% 0.15/0.36    inference(resolution,[status(thm)],[f41,f15])).
% 0.15/0.36  fof(f84,plain,(
% 0.15/0.36    ![X0]: (empty(X0)|member(sk0_2(X0),intersection(X0,X0))|empty(X0))),
% 0.15/0.36    inference(resolution,[status(thm)],[f63,f41])).
% 0.15/0.36  fof(f85,plain,(
% 0.15/0.36    ![X0]: (empty(X0)|member(sk0_2(X0),intersection(X0,X0)))),
% 0.15/0.36    inference(duplicate_literals_removal,[status(esa)],[f84])).
% 0.15/0.36  fof(f123,plain,(
% 0.15/0.36    ![X0]: (~member(X0,sk0_3)|~member(X0,sk0_4)|spl0_0)),
% 0.15/0.36    inference(resolution,[status(thm)],[f49,f21])).
% 0.15/0.36  fof(f127,plain,(
% 0.15/0.36    ![X0]: (~member(sk0_2(intersection(sk0_4,X0)),sk0_3)|empty(intersection(sk0_4,X0))|spl0_0)),
% 0.15/0.36    inference(resolution,[status(thm)],[f123,f61])).
% 0.15/0.36  fof(f137,plain,(
% 0.15/0.36    member(sk0_0(sk0_4,sk0_3),sk0_4)|~spl0_0),
% 0.15/0.36    inference(resolution,[status(thm)],[f48,f20])).
% 0.15/0.36  fof(f138,plain,(
% 0.15/0.36    member(sk0_0(sk0_4,sk0_3),sk0_3)|~spl0_0),
% 0.15/0.36    inference(resolution,[status(thm)],[f48,f19])).
% 0.15/0.36  fof(f139,plain,(
% 0.15/0.36    intersection(sk0_3,sk0_4)=empty_set|spl0_1),
% 0.15/0.36    inference(resolution,[status(thm)],[f52,f33])).
% 0.15/0.36  fof(f164,plain,(
% 0.15/0.36    spl0_7 <=> empty(intersection(sk0_4,sk0_3))),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f165,plain,(
% 0.15/0.36    empty(intersection(sk0_4,sk0_3))|~spl0_7),
% 0.15/0.36    inference(component_clause,[status(thm)],[f164])).
% 0.15/0.36  fof(f167,plain,(
% 0.15/0.36    empty(intersection(sk0_4,sk0_3))|empty(intersection(sk0_4,sk0_3))|spl0_0),
% 0.15/0.36    inference(resolution,[status(thm)],[f127,f60])).
% 0.15/0.36  fof(f168,plain,(
% 0.15/0.36    spl0_7|spl0_0),
% 0.15/0.36    inference(split_clause,[status(thm)],[f167,f164,f47])).
% 0.15/0.36  fof(f182,plain,(
% 0.15/0.36    ![X0]: (member(sk0_0(sk0_4,sk0_3),intersection(X0,sk0_4))|~member(sk0_0(sk0_4,sk0_3),X0)|~spl0_0)),
% 0.15/0.36    inference(resolution,[status(thm)],[f137,f15])).
% 0.15/0.36  fof(f184,plain,(
% 0.15/0.36    member(sk0_0(sk0_4,sk0_3),intersection(sk0_3,sk0_4))|~spl0_0),
% 0.15/0.36    inference(resolution,[status(thm)],[f182,f138])).
% 0.15/0.36  fof(f185,plain,(
% 0.15/0.36    member(sk0_0(sk0_4,sk0_3),empty_set)|spl0_1|~spl0_0),
% 0.15/0.36    inference(forward_demodulation,[status(thm)],[f139,f184])).
% 0.15/0.36  fof(f186,plain,(
% 0.15/0.36    $false|spl0_1|~spl0_0),
% 0.15/0.36    inference(forward_subsumption_resolution,[status(thm)],[f185,f22])).
% 0.15/0.36  fof(f187,plain,(
% 0.15/0.36    spl0_1|~spl0_0),
% 0.15/0.36    inference(contradiction_clause,[status(thm)],[f186])).
% 0.15/0.36  fof(f188,plain,(
% 0.15/0.36    empty(intersection(sk0_3,sk0_4))|~spl0_7),
% 0.15/0.36    inference(forward_demodulation,[status(thm)],[f34,f165])).
% 0.15/0.36  fof(f193,plain,(
% 0.15/0.36    ![X0]: (~member(X0,intersection(sk0_3,sk0_4))|~spl0_7)),
% 0.15/0.36    inference(resolution,[status(thm)],[f188,f40])).
% 0.15/0.36  fof(f349,plain,(
% 0.15/0.36    ![X0,X1,X2]: (intersection(X0,X1)=X2|member(sk0_1(X2,intersection(X0,X1)),X2)|member(sk0_1(X2,intersection(X0,X1)),X1))),
% 0.15/0.36    inference(resolution,[status(thm)],[f29,f14])).
% 0.15/0.36  fof(f350,plain,(
% 0.15/0.36    ![X0,X1,X2]: (intersection(X0,X1)=X2|member(sk0_1(X2,intersection(X0,X1)),X2)|member(sk0_1(X2,intersection(X0,X1)),X0))),
% 0.15/0.36    inference(resolution,[status(thm)],[f29,f13])).
% 0.15/0.36  fof(f365,plain,(
% 0.15/0.36    ![X0]: (X0=empty_set|member(sk0_1(empty_set,X0),X0))),
% 0.15/0.36    inference(resolution,[status(thm)],[f29,f22])).
% 0.15/0.36  fof(f393,plain,(
% 0.15/0.36    ![X0]: (intersection(X0,empty_set)=empty_set)),
% 0.15/0.36    inference(resolution,[status(thm)],[f349,f22])).
% 0.15/0.36  fof(f445,plain,(
% 0.15/0.36    ![X0]: (intersection(empty_set,X0)=empty_set)),
% 0.15/0.36    inference(resolution,[status(thm)],[f350,f22])).
% 0.15/0.36  fof(f704,plain,(
% 0.15/0.36    spl0_18 <=> empty(empty_set)),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f707,plain,(
% 0.15/0.36    spl0_19 <=> member(sk0_2(empty_set),empty_set)),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f708,plain,(
% 0.15/0.36    member(sk0_2(empty_set),empty_set)|~spl0_19),
% 0.15/0.36    inference(component_clause,[status(thm)],[f707])).
% 0.15/0.36  fof(f710,plain,(
% 0.15/0.36    empty(empty_set)|member(sk0_2(empty_set),empty_set)),
% 0.15/0.36    inference(paramodulation,[status(thm)],[f393,f85])).
% 0.15/0.36  fof(f711,plain,(
% 0.15/0.36    spl0_18|spl0_19),
% 0.15/0.36    inference(split_clause,[status(thm)],[f710,f704,f707])).
% 0.15/0.36  fof(f718,plain,(
% 0.15/0.36    spl0_20 <=> empty(intersection(X0,empty_set))),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f721,plain,(
% 0.15/0.36    ![X0]: (empty(intersection(X0,empty_set))|member(sk0_2(empty_set),empty_set))),
% 0.15/0.36    inference(paramodulation,[status(thm)],[f393,f60])).
% 0.15/0.36  fof(f722,plain,(
% 0.15/0.36    spl0_20|spl0_19),
% 0.15/0.36    inference(split_clause,[status(thm)],[f721,f718,f707])).
% 0.15/0.36  fof(f726,plain,(
% 0.15/0.36    $false|~spl0_19),
% 0.15/0.36    inference(forward_subsumption_resolution,[status(thm)],[f708,f22])).
% 0.15/0.36  fof(f727,plain,(
% 0.15/0.36    ~spl0_19),
% 0.15/0.36    inference(contradiction_clause,[status(thm)],[f726])).
% 0.15/0.36  fof(f807,plain,(
% 0.15/0.36    spl0_24 <=> empty(intersection(empty_set,X0))),
% 0.15/0.36    introduced(split_symbol_definition)).
% 0.15/0.36  fof(f810,plain,(
% 0.15/0.36    ![X0]: (empty(intersection(empty_set,X0))|member(sk0_2(empty_set),empty_set))),
% 0.15/0.36    inference(paramodulation,[status(thm)],[f445,f61])).
% 0.15/0.36  fof(f811,plain,(
% 0.15/0.36    spl0_24|spl0_19),
% 0.15/0.36    inference(split_clause,[status(thm)],[f810,f807,f707])).
% 0.15/0.36  fof(f851,plain,(
% 0.15/0.36    intersection(sk0_3,sk0_4)=empty_set|~spl0_7),
% 0.15/0.36    inference(resolution,[status(thm)],[f365,f193])).
% 0.15/0.36  fof(f1243,plain,(
% 0.15/0.36    not_equal(empty_set,empty_set)|~spl0_7|~spl0_1),
% 0.15/0.36    inference(backward_demodulation,[status(thm)],[f851,f51])).
% 0.15/0.36  fof(f1244,plain,(
% 0.15/0.36    $false|~spl0_7|~spl0_1),
% 0.15/0.36    inference(forward_subsumption_resolution,[status(thm)],[f1243,f55])).
% 0.15/0.36  fof(f1245,plain,(
% 0.15/0.36    ~spl0_7|~spl0_1),
% 0.15/0.36    inference(contradiction_clause,[status(thm)],[f1244])).
% 0.15/0.36  fof(f1246,plain,(
% 0.15/0.36    $false),
% 0.15/0.36    inference(sat_refutation,[status(thm)],[f53,f54,f168,f187,f711,f722,f727,f811,f1245])).
% 0.15/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.37  % Elapsed time: 0.059076 seconds
% 0.15/0.37  % CPU time: 0.376753 seconds
% 0.15/0.37  % Total memory used: 63.794 MB
% 0.15/0.37  % Net memory used: 63.328 MB
%------------------------------------------------------------------------------