TSTP Solution File: SEU394+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:42:11 EDT 2024

% Result   : Theorem 17.68s 2.61s
% Output   : CNFRefutation 17.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU394+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 19:47:59 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 17.68/2.61  % Refutation found
% 17.68/2.61  % SZS status Theorem for theBenchmark: Theorem is valid
% 17.68/2.61  % SZS output start CNFRefutation for theBenchmark
% 17.68/2.61  fof(f32,axiom,(
% 17.68/2.61    (! [A] :( strict_rel_str(boole_POSet(A))& rel_str(boole_POSet(A)) ) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f50,axiom,(
% 17.68/2.61    ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f56,axiom,(
% 17.68/2.61    (! [A] : ~ empty(powerset(A)) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f57,axiom,(
% 17.68/2.61    (! [A] :( ~ empty_carrier(boole_POSet(A))& strict_rel_str(boole_POSet(A))& reflexive_relstr(boole_POSet(A))& transitive_relstr(boole_POSet(A))& antisymmetric_relstr(boole_POSet(A))& lower_bounded_relstr(boole_POSet(A))& upper_bounded_relstr(boole_POSet(A))& bounded_relstr(boole_POSet(A))& up_complete_relstr(boole_POSet(A))& join_complete_relstr(boole_POSet(A))& ~ v1_yellow_3(boole_POSet(A))& distributive_relstr(boole_POSet(A))& heyting_relstr(boole_POSet(A))& complemented_relstr(boole_POSet(A))& boolean_relstr(boole_POSet(A))& with_suprema_relstr(boole_POSet(A))& with_infima_relstr(boole_POSet(A))& complete_relstr(boole_POSet(A)) ) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f59,axiom,(
% 17.68/2.61    (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(cast_as_carrier_subset(A)) ) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f84,axiom,(
% 17.68/2.61    (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& lower_bounded_relstr(A)& upper_bounded_relstr(A)& bounded_relstr(A)& up_complete_relstr(A)& join_complete_relstr(A) ) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f90,axiom,(
% 17.68/2.61    (? [A] :( rel_str(A)& ~ empty_carrier(A)& ~ trivial_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& lower_bounded_relstr(A)& upper_bounded_relstr(A)& bounded_relstr(A)& ~ v1_yellow_3(A)& distributive_relstr(A)& heyting_relstr(A)& complemented_relstr(A)& boolean_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A) ) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f91,axiom,(
% 17.68/2.61    (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& trivial_carrier(A) ) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f92,axiom,(
% 17.68/2.61    (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A) ) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f96,axiom,(
% 17.68/2.61    (! [A] :(? [B] :( element(B,powerset(powerset(A)))& ~ empty(B)& finite(B) ) ))),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f97,axiom,(
% 17.68/2.61    (? [A] :( rel_str(A)& ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& lower_bounded_relstr(A)& upper_bounded_relstr(A)& bounded_relstr(A) ) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f113,axiom,(
% 17.68/2.61    (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( ( ~ empty(B)& filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))& upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))& element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) )=> set_difference(B,singleton(empty_set)) = filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)) ) )) )),
% 17.68/2.61    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.68/2.61  fof(f114,conjecture,(
% 17.68/2.61    (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( ( ~ empty(B)& filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))& upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))& proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))& element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) )=> B = filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)) ) )) )),
% 17.73/2.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.73/2.62  fof(f115,negated_conjecture,(
% 17.73/2.62    ~((! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( ( ~ empty(B)& filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))& upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))& proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))& element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) )=> B = filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)) ) )) ))),
% 17.73/2.62    inference(negated_conjecture,[status(cth)],[f114])).
% 17.73/2.62  fof(f119,axiom,(
% 17.73/2.62    (! [A] :( ~ empty(A)=> (! [B] :( ( ~ empty(B)& filtered_subset(B,boole_POSet(A))& upper_relstr_subset(B,boole_POSet(A))& proper_element(B,powerset(the_carrier(boole_POSet(A))))& element(B,powerset(the_carrier(boole_POSet(A)))) )=> (! [C] :~ ( in(C,B)& empty(C) ) )) )) )),
% 17.73/2.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.73/2.62  fof(f125,axiom,(
% 17.73/2.62    (! [A,B] :( set_difference(A,singleton(B)) = A<=> ~ in(B,A) ) )),
% 17.73/2.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.73/2.62  fof(f127,axiom,(
% 17.73/2.62    (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 17.73/2.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.73/2.62  fof(f222,plain,(
% 17.73/2.62    (![A]: strict_rel_str(boole_POSet(A)))&(![A]: rel_str(boole_POSet(A)))),
% 17.73/2.62    inference(miniscoping,[status(esa)],[f32])).
% 17.73/2.62  fof(f224,plain,(
% 17.73/2.62    ![X0]: (rel_str(boole_POSet(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f222])).
% 17.73/2.62  fof(f253,plain,(
% 17.73/2.62    empty(empty_set)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f50])).
% 17.73/2.62  fof(f272,plain,(
% 17.73/2.62    ![X0]: (~empty(powerset(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f56])).
% 17.73/2.62  fof(f273,plain,(
% 17.73/2.62    (((((((((((((((((![A]: ~empty_carrier(boole_POSet(A)))&(![A]: strict_rel_str(boole_POSet(A))))&(![A]: reflexive_relstr(boole_POSet(A))))&(![A]: transitive_relstr(boole_POSet(A))))&(![A]: antisymmetric_relstr(boole_POSet(A))))&(![A]: lower_bounded_relstr(boole_POSet(A))))&(![A]: upper_bounded_relstr(boole_POSet(A))))&(![A]: bounded_relstr(boole_POSet(A))))&(![A]: up_complete_relstr(boole_POSet(A))))&(![A]: join_complete_relstr(boole_POSet(A))))&(![A]: ~v1_yellow_3(boole_POSet(A))))&(![A]: distributive_relstr(boole_POSet(A))))&(![A]: heyting_relstr(boole_POSet(A))))&(![A]: complemented_relstr(boole_POSet(A))))&(![A]: boolean_relstr(boole_POSet(A))))&(![A]: with_suprema_relstr(boole_POSet(A))))&(![A]: with_infima_relstr(boole_POSet(A))))&(![A]: complete_relstr(boole_POSet(A)))),
% 17.73/2.62    inference(miniscoping,[status(esa)],[f57])).
% 17.73/2.62  fof(f276,plain,(
% 17.73/2.62    ![X0]: (reflexive_relstr(boole_POSet(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f273])).
% 17.73/2.62  fof(f277,plain,(
% 17.73/2.62    ![X0]: (transitive_relstr(boole_POSet(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f273])).
% 17.73/2.62  fof(f278,plain,(
% 17.73/2.62    ![X0]: (antisymmetric_relstr(boole_POSet(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f273])).
% 17.73/2.62  fof(f280,plain,(
% 17.73/2.62    ![X0]: (upper_bounded_relstr(boole_POSet(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f273])).
% 17.73/2.62  fof(f289,plain,(
% 17.73/2.62    ![X0]: (with_suprema_relstr(boole_POSet(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f273])).
% 17.73/2.62  fof(f290,plain,(
% 17.73/2.62    ![X0]: (with_infima_relstr(boole_POSet(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f273])).
% 17.73/2.62  fof(f296,plain,(
% 17.73/2.62    ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(cast_as_carrier_subset(A)))),
% 17.73/2.62    inference(pre_NNF_transformation,[status(esa)],[f59])).
% 17.73/2.62  fof(f297,plain,(
% 17.73/2.62    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(cast_as_carrier_subset(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f296])).
% 17.73/2.62  fof(f432,plain,(
% 17.73/2.62    (((((((((((((rel_str(sk0_10)&~empty_carrier(sk0_10))&strict_rel_str(sk0_10))&reflexive_relstr(sk0_10))&transitive_relstr(sk0_10))&antisymmetric_relstr(sk0_10))&with_suprema_relstr(sk0_10))&with_infima_relstr(sk0_10))&complete_relstr(sk0_10))&lower_bounded_relstr(sk0_10))&upper_bounded_relstr(sk0_10))&bounded_relstr(sk0_10))&up_complete_relstr(sk0_10))&join_complete_relstr(sk0_10))),
% 17.73/2.62    inference(skolemization,[status(esa)],[f84])).
% 17.73/2.62  fof(f437,plain,(
% 17.73/2.62    transitive_relstr(sk0_10)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f432])).
% 17.73/2.62  fof(f440,plain,(
% 17.73/2.62    with_infima_relstr(sk0_10)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f432])).
% 17.73/2.62  fof(f470,plain,(
% 17.73/2.62    ((((((((((((((((rel_str(sk0_16)&~empty_carrier(sk0_16))&~trivial_carrier(sk0_16))&strict_rel_str(sk0_16))&reflexive_relstr(sk0_16))&transitive_relstr(sk0_16))&antisymmetric_relstr(sk0_16))&lower_bounded_relstr(sk0_16))&upper_bounded_relstr(sk0_16))&bounded_relstr(sk0_16))&~v1_yellow_3(sk0_16))&distributive_relstr(sk0_16))&heyting_relstr(sk0_16))&complemented_relstr(sk0_16))&boolean_relstr(sk0_16))&with_suprema_relstr(sk0_16))&with_infima_relstr(sk0_16))),
% 17.73/2.62    inference(skolemization,[status(esa)],[f90])).
% 17.73/2.62  fof(f473,plain,(
% 17.73/2.62    ~trivial_carrier(sk0_16)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f470])).
% 17.73/2.62  fof(f476,plain,(
% 17.73/2.62    transitive_relstr(sk0_16)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f470])).
% 17.73/2.62  fof(f487,plain,(
% 17.73/2.62    with_infima_relstr(sk0_16)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f470])).
% 17.73/2.62  fof(f488,plain,(
% 17.73/2.62    (((((((((rel_str(sk0_17)&~empty_carrier(sk0_17))&strict_rel_str(sk0_17))&reflexive_relstr(sk0_17))&transitive_relstr(sk0_17))&antisymmetric_relstr(sk0_17))&with_suprema_relstr(sk0_17))&with_infima_relstr(sk0_17))&complete_relstr(sk0_17))&trivial_carrier(sk0_17))),
% 17.73/2.62    inference(skolemization,[status(esa)],[f91])).
% 17.73/2.62  fof(f495,plain,(
% 17.73/2.62    with_suprema_relstr(sk0_17)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f488])).
% 17.73/2.62  fof(f496,plain,(
% 17.73/2.62    with_infima_relstr(sk0_17)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f488])).
% 17.73/2.62  fof(f499,plain,(
% 17.73/2.62    ((((((((rel_str(sk0_18)&~empty_carrier(sk0_18))&strict_rel_str(sk0_18))&reflexive_relstr(sk0_18))&transitive_relstr(sk0_18))&antisymmetric_relstr(sk0_18))&with_suprema_relstr(sk0_18))&with_infima_relstr(sk0_18))&complete_relstr(sk0_18))),
% 17.73/2.62    inference(skolemization,[status(esa)],[f92])).
% 17.73/2.62  fof(f503,plain,(
% 17.73/2.62    reflexive_relstr(sk0_18)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f499])).
% 17.73/2.62  fof(f504,plain,(
% 17.73/2.62    transitive_relstr(sk0_18)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f499])).
% 17.73/2.62  fof(f505,plain,(
% 17.73/2.62    antisymmetric_relstr(sk0_18)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f499])).
% 17.73/2.62  fof(f507,plain,(
% 17.73/2.62    with_infima_relstr(sk0_18)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f499])).
% 17.73/2.62  fof(f522,plain,(
% 17.73/2.62    ![A]: ((element(sk0_22(A),powerset(powerset(A)))&~empty(sk0_22(A)))&finite(sk0_22(A)))),
% 17.73/2.62    inference(skolemization,[status(esa)],[f96])).
% 17.73/2.62  fof(f524,plain,(
% 17.73/2.62    ![X0]: (~empty(sk0_22(X0)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f522])).
% 17.73/2.62  fof(f526,plain,(
% 17.73/2.62    ((((((((((rel_str(sk0_23)&~empty_carrier(sk0_23))&reflexive_relstr(sk0_23))&transitive_relstr(sk0_23))&antisymmetric_relstr(sk0_23))&with_suprema_relstr(sk0_23))&with_infima_relstr(sk0_23))&complete_relstr(sk0_23))&lower_bounded_relstr(sk0_23))&upper_bounded_relstr(sk0_23))&bounded_relstr(sk0_23))),
% 17.73/2.62    inference(skolemization,[status(esa)],[f97])).
% 17.73/2.62  fof(f530,plain,(
% 17.73/2.62    transitive_relstr(sk0_23)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f526])).
% 17.73/2.62  fof(f533,plain,(
% 17.73/2.62    with_infima_relstr(sk0_23)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f526])).
% 17.73/2.62  fof(f612,plain,(
% 17.73/2.62    ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: ((((empty(B)|~filtered_subset(B,boole_POSet(cast_as_carrier_subset(A))))|~upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A))))|~element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))|set_difference(B,singleton(empty_set))=filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))))),
% 17.73/2.62    inference(pre_NNF_transformation,[status(esa)],[f113])).
% 17.73/2.62  fof(f613,plain,(
% 17.73/2.62    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(X1)|~filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))|~upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))|~element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))|set_difference(X1,singleton(empty_set))=filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f612])).
% 17.73/2.62  fof(f614,plain,(
% 17.73/2.62    (?[A]: ((~empty_carrier(A)&one_sorted_str(A))&(?[B]: (((((~empty(B)&filtered_subset(B,boole_POSet(cast_as_carrier_subset(A))))&upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A))))&proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))&element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))&~B=filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B))))))),
% 17.73/2.62    inference(pre_NNF_transformation,[status(esa)],[f115])).
% 17.73/2.62  fof(f615,plain,(
% 17.73/2.62    ((~empty_carrier(sk0_37)&one_sorted_str(sk0_37))&(((((~empty(sk0_38)&filtered_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37))))&upper_relstr_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37))))&proper_element(sk0_38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37))))))&element(sk0_38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37))))))&~sk0_38=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),sk0_38))))),
% 17.73/2.62    inference(skolemization,[status(esa)],[f614])).
% 17.73/2.62  fof(f616,plain,(
% 17.73/2.62    ~empty_carrier(sk0_37)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f615])).
% 17.73/2.62  fof(f617,plain,(
% 17.73/2.62    one_sorted_str(sk0_37)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f615])).
% 17.73/2.62  fof(f618,plain,(
% 17.73/2.62    ~empty(sk0_38)),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f615])).
% 17.73/2.62  fof(f619,plain,(
% 17.73/2.62    filtered_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f615])).
% 17.73/2.62  fof(f620,plain,(
% 17.73/2.62    upper_relstr_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f615])).
% 17.73/2.62  fof(f621,plain,(
% 17.73/2.62    proper_element(sk0_38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f615])).
% 17.73/2.62  fof(f622,plain,(
% 17.73/2.62    element(sk0_38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f615])).
% 17.73/2.62  fof(f623,plain,(
% 17.73/2.62    ~sk0_38=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),sk0_38))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f615])).
% 17.73/2.62  fof(f633,plain,(
% 17.73/2.62    ![A]: (empty(A)|(![B]: (((((empty(B)|~filtered_subset(B,boole_POSet(A)))|~upper_relstr_subset(B,boole_POSet(A)))|~proper_element(B,powerset(the_carrier(boole_POSet(A)))))|~element(B,powerset(the_carrier(boole_POSet(A)))))|(![C]: (~in(C,B)|~empty(C))))))),
% 17.73/2.62    inference(pre_NNF_transformation,[status(esa)],[f119])).
% 17.73/2.62  fof(f634,plain,(
% 17.73/2.62    ![X0,X1,X2]: (empty(X0)|empty(X1)|~filtered_subset(X1,boole_POSet(X0))|~upper_relstr_subset(X1,boole_POSet(X0))|~proper_element(X1,powerset(the_carrier(boole_POSet(X0))))|~element(X1,powerset(the_carrier(boole_POSet(X0))))|~in(X2,X1)|~empty(X2))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f633])).
% 17.73/2.62  fof(f647,plain,(
% 17.73/2.62    ![A,B]: ((~set_difference(A,singleton(B))=A|~in(B,A))&(set_difference(A,singleton(B))=A|in(B,A)))),
% 17.73/2.62    inference(NNF_transformation,[status(esa)],[f125])).
% 17.73/2.62  fof(f648,plain,(
% 17.73/2.62    (![A,B]: (~set_difference(A,singleton(B))=A|~in(B,A)))&(![A,B]: (set_difference(A,singleton(B))=A|in(B,A)))),
% 17.73/2.62    inference(miniscoping,[status(esa)],[f647])).
% 17.73/2.62  fof(f650,plain,(
% 17.73/2.62    ![X0,X1]: (set_difference(X0,singleton(X1))=X0|in(X1,X0))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f648])).
% 17.73/2.62  fof(f653,plain,(
% 17.73/2.62    ![A,B]: (~in(A,B)|~empty(B))),
% 17.73/2.62    inference(pre_NNF_transformation,[status(esa)],[f127])).
% 17.73/2.62  fof(f654,plain,(
% 17.73/2.62    ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 17.73/2.62    inference(miniscoping,[status(esa)],[f653])).
% 17.73/2.62  fof(f655,plain,(
% 17.73/2.62    ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 17.73/2.62    inference(cnf_transformation,[status(esa)],[f654])).
% 17.73/2.62  fof(f664,plain,(
% 17.73/2.62    ![X0,X1,X2]: (empty(X0)|~filtered_subset(X1,boole_POSet(X0))|~upper_relstr_subset(X1,boole_POSet(X0))|~proper_element(X1,powerset(the_carrier(boole_POSet(X0))))|~element(X1,powerset(the_carrier(boole_POSet(X0))))|~in(X2,X1)|~empty(X2))),
% 17.73/2.62    inference(backward_subsumption_resolution,[status(thm)],[f634,f655])).
% 17.73/2.62  fof(f719,plain,(
% 17.73/2.62    ![X0,X1]: (empty(X0)|~filtered_subset(X1,boole_POSet(X0))|~upper_relstr_subset(X1,boole_POSet(X0))|~proper_element(X1,powerset(the_carrier(boole_POSet(X0))))|~element(X1,powerset(the_carrier(boole_POSet(X0))))|~in(empty_set,X1))),
% 17.73/2.62    inference(resolution,[status(thm)],[f253,f664])).
% 17.73/2.62  fof(f928,plain,(
% 17.73/2.62    spl0_36 <=> empty_carrier(sk0_37)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f929,plain,(
% 17.73/2.62    empty_carrier(sk0_37)|~spl0_36),
% 17.73/2.62    inference(component_clause,[status(thm)],[f928])).
% 17.73/2.62  fof(f937,plain,(
% 17.73/2.62    $false|~spl0_36),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f929,f616])).
% 17.73/2.62  fof(f938,plain,(
% 17.73/2.62    ~spl0_36),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f937])).
% 17.73/2.62  fof(f950,plain,(
% 17.73/2.62    spl0_39 <=> empty(cast_as_carrier_subset(sk0_37))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f951,plain,(
% 17.73/2.62    empty(cast_as_carrier_subset(sk0_37))|~spl0_39),
% 17.73/2.62    inference(component_clause,[status(thm)],[f950])).
% 17.73/2.62  fof(f956,plain,(
% 17.73/2.62    spl0_41 <=> empty(sk0_38)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f957,plain,(
% 17.73/2.62    empty(sk0_38)|~spl0_41),
% 17.73/2.62    inference(component_clause,[status(thm)],[f956])).
% 17.73/2.62  fof(f959,plain,(
% 17.73/2.62    spl0_42 <=> upper_relstr_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f961,plain,(
% 17.73/2.62    ~upper_relstr_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_42),
% 17.73/2.62    inference(component_clause,[status(thm)],[f959])).
% 17.73/2.62  fof(f962,plain,(
% 17.73/2.62    spl0_43 <=> element(sk0_38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f964,plain,(
% 17.73/2.62    ~element(sk0_38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))|spl0_43),
% 17.73/2.62    inference(component_clause,[status(thm)],[f962])).
% 17.73/2.62  fof(f967,plain,(
% 17.73/2.62    $false|spl0_43),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f964,f622])).
% 17.73/2.62  fof(f968,plain,(
% 17.73/2.62    spl0_43),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f967])).
% 17.73/2.62  fof(f969,plain,(
% 17.73/2.62    $false|spl0_42),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f961,f620])).
% 17.73/2.62  fof(f970,plain,(
% 17.73/2.62    spl0_42),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f969])).
% 17.73/2.62  fof(f974,plain,(
% 17.73/2.62    $false|~spl0_41),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f957,f618])).
% 17.73/2.62  fof(f975,plain,(
% 17.73/2.62    ~spl0_41),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f974])).
% 17.73/2.62  fof(f1048,plain,(
% 17.73/2.62    spl0_58 <=> one_sorted_str(sk0_37)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f1050,plain,(
% 17.73/2.62    ~one_sorted_str(sk0_37)|spl0_58),
% 17.73/2.62    inference(component_clause,[status(thm)],[f1048])).
% 17.73/2.62  fof(f1054,plain,(
% 17.73/2.62    $false|spl0_58),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f1050,f617])).
% 17.73/2.62  fof(f1055,plain,(
% 17.73/2.62    spl0_58),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f1054])).
% 17.73/2.62  fof(f1064,plain,(
% 17.73/2.62    empty_carrier(sk0_37)|~one_sorted_str(sk0_37)|~spl0_39),
% 17.73/2.62    inference(resolution,[status(thm)],[f951,f297])).
% 17.73/2.62  fof(f1065,plain,(
% 17.73/2.62    spl0_36|~spl0_58|~spl0_39),
% 17.73/2.62    inference(split_clause,[status(thm)],[f1064,f928,f1048,f950])).
% 17.73/2.62  fof(f2569,plain,(
% 17.73/2.62    ![X0,X1]: (set_difference(X0,singleton(empty_set))=X0|empty(X1)|~filtered_subset(X0,boole_POSet(X1))|~upper_relstr_subset(X0,boole_POSet(X1))|~proper_element(X0,powerset(the_carrier(boole_POSet(X1))))|~element(X0,powerset(the_carrier(boole_POSet(X1)))))),
% 17.73/2.62    inference(resolution,[status(thm)],[f650,f719])).
% 17.73/2.62  fof(f2739,plain,(
% 17.73/2.62    spl0_237 <=> empty(sk0_22(the_carrier(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f2740,plain,(
% 17.73/2.62    empty(sk0_22(the_carrier(sk0_37)))|~spl0_237),
% 17.73/2.62    inference(component_clause,[status(thm)],[f2739])).
% 17.73/2.62  fof(f2886,plain,(
% 17.73/2.62    spl0_255 <=> filtered_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f2888,plain,(
% 17.73/2.62    ~filtered_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_255),
% 17.73/2.62    inference(component_clause,[status(thm)],[f2886])).
% 17.73/2.62  fof(f2894,plain,(
% 17.73/2.62    $false|spl0_255),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f2888,f619])).
% 17.73/2.62  fof(f2895,plain,(
% 17.73/2.62    spl0_255),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f2894])).
% 17.73/2.62  fof(f2912,plain,(
% 17.73/2.62    $false|~spl0_237),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f2740,f524])).
% 17.73/2.62  fof(f2913,plain,(
% 17.73/2.62    ~spl0_237),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f2912])).
% 17.73/2.62  fof(f2967,plain,(
% 17.73/2.62    spl0_263 <=> empty(powerset(powerset(the_carrier(sk0_37))))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f2968,plain,(
% 17.73/2.62    empty(powerset(powerset(the_carrier(sk0_37))))|~spl0_263),
% 17.73/2.62    inference(component_clause,[status(thm)],[f2967])).
% 17.73/2.62  fof(f2986,plain,(
% 17.73/2.62    $false|~spl0_263),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f2968,f272])).
% 17.73/2.62  fof(f2987,plain,(
% 17.73/2.62    ~spl0_263),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f2986])).
% 17.73/2.62  fof(f3527,plain,(
% 17.73/2.62    spl0_290 <=> set_difference(sk0_38,singleton(empty_set))=sk0_38),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f3528,plain,(
% 17.73/2.62    set_difference(sk0_38,singleton(empty_set))=sk0_38|~spl0_290),
% 17.73/2.62    inference(component_clause,[status(thm)],[f3527])).
% 17.73/2.62  fof(f3530,plain,(
% 17.73/2.62    set_difference(sk0_38,singleton(empty_set))=sk0_38|empty(cast_as_carrier_subset(sk0_37))|~filtered_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))|~upper_relstr_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))|~element(sk0_38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))),
% 17.73/2.62    inference(resolution,[status(thm)],[f2569,f621])).
% 17.73/2.62  fof(f3531,plain,(
% 17.73/2.62    spl0_290|spl0_39|~spl0_255|~spl0_42|~spl0_43),
% 17.73/2.62    inference(split_clause,[status(thm)],[f3530,f3527,f950,f2886,f959,f962])).
% 17.73/2.62  fof(f3552,plain,(
% 17.73/2.62    spl0_291 <=> empty(powerset(empty_set))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f3553,plain,(
% 17.73/2.62    empty(powerset(empty_set))|~spl0_291),
% 17.73/2.62    inference(component_clause,[status(thm)],[f3552])).
% 17.73/2.62  fof(f3571,plain,(
% 17.73/2.62    $false|~spl0_291),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f3553,f272])).
% 17.73/2.62  fof(f3572,plain,(
% 17.73/2.62    ~spl0_291),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f3571])).
% 17.73/2.62  fof(f3658,plain,(
% 17.73/2.62    spl0_300 <=> empty(powerset(sk0_11))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f3659,plain,(
% 17.73/2.62    empty(powerset(sk0_11))|~spl0_300),
% 17.73/2.62    inference(component_clause,[status(thm)],[f3658])).
% 17.73/2.62  fof(f3676,plain,(
% 17.73/2.62    spl0_304 <=> empty(powerset(the_carrier(sk0_26)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f3677,plain,(
% 17.73/2.62    empty(powerset(the_carrier(sk0_26)))|~spl0_304),
% 17.73/2.62    inference(component_clause,[status(thm)],[f3676])).
% 17.73/2.62  fof(f3719,plain,(
% 17.73/2.62    $false|~spl0_300),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f3659,f272])).
% 17.73/2.62  fof(f3720,plain,(
% 17.73/2.62    ~spl0_300),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f3719])).
% 17.73/2.62  fof(f4044,plain,(
% 17.73/2.62    spl0_354 <=> empty(powerset(powerset(empty_set)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4045,plain,(
% 17.73/2.62    empty(powerset(powerset(empty_set)))|~spl0_354),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4044])).
% 17.73/2.62  fof(f4063,plain,(
% 17.73/2.62    $false|~spl0_354),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4045,f272])).
% 17.73/2.62  fof(f4064,plain,(
% 17.73/2.62    ~spl0_354),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4063])).
% 17.73/2.62  fof(f4072,plain,(
% 17.73/2.62    spl0_359 <=> empty(powerset(powerset(sk0_11)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4073,plain,(
% 17.73/2.62    empty(powerset(powerset(sk0_11)))|~spl0_359),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4072])).
% 17.73/2.62  fof(f4091,plain,(
% 17.73/2.62    $false|~spl0_359),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4073,f272])).
% 17.73/2.62  fof(f4092,plain,(
% 17.73/2.62    ~spl0_359),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4091])).
% 17.73/2.62  fof(f4189,plain,(
% 17.73/2.62    $false|~spl0_304),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f3677,f272])).
% 17.73/2.62  fof(f4190,plain,(
% 17.73/2.62    ~spl0_304),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4189])).
% 17.73/2.62  fof(f4623,plain,(
% 17.73/2.62    spl0_410 <=> transitive_relstr(sk0_23)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4625,plain,(
% 17.73/2.62    ~transitive_relstr(sk0_23)|spl0_410),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4623])).
% 17.73/2.62  fof(f4626,plain,(
% 17.73/2.62    spl0_411 <=> with_infima_relstr(sk0_23)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4628,plain,(
% 17.73/2.62    ~with_infima_relstr(sk0_23)|spl0_411),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4626])).
% 17.73/2.62  fof(f4634,plain,(
% 17.73/2.62    spl0_413 <=> reflexive_relstr(sk0_18)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4636,plain,(
% 17.73/2.62    ~reflexive_relstr(sk0_18)|spl0_413),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4634])).
% 17.73/2.62  fof(f4637,plain,(
% 17.73/2.62    spl0_414 <=> transitive_relstr(sk0_18)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4639,plain,(
% 17.73/2.62    ~transitive_relstr(sk0_18)|spl0_414),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4637])).
% 17.73/2.62  fof(f4640,plain,(
% 17.73/2.62    spl0_415 <=> antisymmetric_relstr(sk0_18)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4642,plain,(
% 17.73/2.62    ~antisymmetric_relstr(sk0_18)|spl0_415),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4640])).
% 17.73/2.62  fof(f4643,plain,(
% 17.73/2.62    spl0_416 <=> with_infima_relstr(sk0_18)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4645,plain,(
% 17.73/2.62    ~with_infima_relstr(sk0_18)|spl0_416),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4643])).
% 17.73/2.62  fof(f4651,plain,(
% 17.73/2.62    spl0_418 <=> with_infima_relstr(sk0_17)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4653,plain,(
% 17.73/2.62    ~with_infima_relstr(sk0_17)|spl0_418),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4651])).
% 17.73/2.62  fof(f4659,plain,(
% 17.73/2.62    spl0_420 <=> transitive_relstr(sk0_16)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4661,plain,(
% 17.73/2.62    ~transitive_relstr(sk0_16)|spl0_420),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4659])).
% 17.73/2.62  fof(f4662,plain,(
% 17.73/2.62    spl0_421 <=> with_infima_relstr(sk0_16)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4664,plain,(
% 17.73/2.62    ~with_infima_relstr(sk0_16)|spl0_421),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4662])).
% 17.73/2.62  fof(f4670,plain,(
% 17.73/2.62    spl0_423 <=> transitive_relstr(sk0_10)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4672,plain,(
% 17.73/2.62    ~transitive_relstr(sk0_10)|spl0_423),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4670])).
% 17.73/2.62  fof(f4673,plain,(
% 17.73/2.62    spl0_424 <=> with_infima_relstr(sk0_10)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f4675,plain,(
% 17.73/2.62    ~with_infima_relstr(sk0_10)|spl0_424),
% 17.73/2.62    inference(component_clause,[status(thm)],[f4673])).
% 17.73/2.62  fof(f4684,plain,(
% 17.73/2.62    $false|spl0_418),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4653,f496])).
% 17.73/2.62  fof(f4685,plain,(
% 17.73/2.62    spl0_418),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4684])).
% 17.73/2.62  fof(f4686,plain,(
% 17.73/2.62    $false|spl0_424),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4675,f440])).
% 17.73/2.62  fof(f4687,plain,(
% 17.73/2.62    spl0_424),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4686])).
% 17.73/2.62  fof(f4688,plain,(
% 17.73/2.62    $false|spl0_423),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4672,f437])).
% 17.73/2.62  fof(f4689,plain,(
% 17.73/2.62    spl0_423),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4688])).
% 17.73/2.62  fof(f4690,plain,(
% 17.73/2.62    $false|spl0_421),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4664,f487])).
% 17.73/2.62  fof(f4691,plain,(
% 17.73/2.62    spl0_421),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4690])).
% 17.73/2.62  fof(f4692,plain,(
% 17.73/2.62    $false|spl0_420),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4661,f476])).
% 17.73/2.62  fof(f4693,plain,(
% 17.73/2.62    spl0_420),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4692])).
% 17.73/2.62  fof(f4694,plain,(
% 17.73/2.62    $false|spl0_416),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4645,f507])).
% 17.73/2.62  fof(f4695,plain,(
% 17.73/2.62    spl0_416),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4694])).
% 17.73/2.62  fof(f4696,plain,(
% 17.73/2.62    $false|spl0_415),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4642,f505])).
% 17.73/2.62  fof(f4697,plain,(
% 17.73/2.62    spl0_415),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4696])).
% 17.73/2.62  fof(f4698,plain,(
% 17.73/2.62    $false|spl0_414),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4639,f504])).
% 17.73/2.62  fof(f4699,plain,(
% 17.73/2.62    spl0_414),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4698])).
% 17.73/2.62  fof(f4700,plain,(
% 17.73/2.62    $false|spl0_413),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4636,f503])).
% 17.73/2.62  fof(f4701,plain,(
% 17.73/2.62    spl0_413),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4700])).
% 17.73/2.62  fof(f4702,plain,(
% 17.73/2.62    $false|spl0_411),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4628,f533])).
% 17.73/2.62  fof(f4703,plain,(
% 17.73/2.62    spl0_411),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4702])).
% 17.73/2.62  fof(f4704,plain,(
% 17.73/2.62    $false|spl0_410),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f4625,f530])).
% 17.73/2.62  fof(f4705,plain,(
% 17.73/2.62    spl0_410),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f4704])).
% 17.73/2.62  fof(f5079,plain,(
% 17.73/2.62    spl0_462 <=> empty(powerset(sk0_38))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f5080,plain,(
% 17.73/2.62    empty(powerset(sk0_38))|~spl0_462),
% 17.73/2.62    inference(component_clause,[status(thm)],[f5079])).
% 17.73/2.62  fof(f5108,plain,(
% 17.73/2.62    $false|~spl0_462),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f5080,f272])).
% 17.73/2.62  fof(f5109,plain,(
% 17.73/2.62    ~spl0_462),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f5108])).
% 17.73/2.62  fof(f5169,plain,(
% 17.73/2.62    spl0_470 <=> empty(powerset(powerset(sk0_38)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f5170,plain,(
% 17.73/2.62    empty(powerset(powerset(sk0_38)))|~spl0_470),
% 17.73/2.62    inference(component_clause,[status(thm)],[f5169])).
% 17.73/2.62  fof(f5188,plain,(
% 17.73/2.62    $false|~spl0_470),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f5170,f272])).
% 17.73/2.62  fof(f5189,plain,(
% 17.73/2.62    ~spl0_470),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f5188])).
% 17.73/2.62  fof(f5226,plain,(
% 17.73/2.62    spl0_480 <=> empty(powerset(sk0_28(sk0_38)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f5227,plain,(
% 17.73/2.62    empty(powerset(sk0_28(sk0_38)))|~spl0_480),
% 17.73/2.62    inference(component_clause,[status(thm)],[f5226])).
% 17.73/2.62  fof(f5255,plain,(
% 17.73/2.62    $false|~spl0_480),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f5227,f272])).
% 17.73/2.62  fof(f5256,plain,(
% 17.73/2.62    ~spl0_480),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f5255])).
% 17.73/2.62  fof(f5575,plain,(
% 17.73/2.62    spl0_491 <=> empty(powerset(sk0_24(sk0_38)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f5576,plain,(
% 17.73/2.62    empty(powerset(sk0_24(sk0_38)))|~spl0_491),
% 17.73/2.62    inference(component_clause,[status(thm)],[f5575])).
% 17.73/2.62  fof(f5604,plain,(
% 17.73/2.62    $false|~spl0_491),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f5576,f272])).
% 17.73/2.62  fof(f5605,plain,(
% 17.73/2.62    ~spl0_491),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f5604])).
% 17.73/2.62  fof(f5794,plain,(
% 17.73/2.62    spl0_497 <=> empty(sk0_22(empty_set))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f5795,plain,(
% 17.73/2.62    empty(sk0_22(empty_set))|~spl0_497),
% 17.73/2.62    inference(component_clause,[status(thm)],[f5794])).
% 17.73/2.62  fof(f5831,plain,(
% 17.73/2.62    $false|~spl0_497),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f5795,f524])).
% 17.73/2.62  fof(f5832,plain,(
% 17.73/2.62    ~spl0_497),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f5831])).
% 17.73/2.62  fof(f6117,plain,(
% 17.73/2.62    spl0_519 <=> empty(powerset(sk0_28(sk0_11)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f6118,plain,(
% 17.73/2.62    empty(powerset(sk0_28(sk0_11)))|~spl0_519),
% 17.73/2.62    inference(component_clause,[status(thm)],[f6117])).
% 17.73/2.62  fof(f6146,plain,(
% 17.73/2.62    $false|~spl0_519),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f6118,f272])).
% 17.73/2.62  fof(f6147,plain,(
% 17.73/2.62    ~spl0_519),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f6146])).
% 17.73/2.62  fof(f6288,plain,(
% 17.73/2.62    spl0_544 <=> trivial_carrier(sk0_16)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f6289,plain,(
% 17.73/2.62    trivial_carrier(sk0_16)|~spl0_544),
% 17.73/2.62    inference(component_clause,[status(thm)],[f6288])).
% 17.73/2.62  fof(f6309,plain,(
% 17.73/2.62    $false|~spl0_544),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f6289,f473])).
% 17.73/2.62  fof(f6310,plain,(
% 17.73/2.62    ~spl0_544),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f6309])).
% 17.73/2.62  fof(f6539,plain,(
% 17.73/2.62    spl0_560 <=> empty(powerset(sk0_14(sk0_38)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f6540,plain,(
% 17.73/2.62    empty(powerset(sk0_14(sk0_38)))|~spl0_560),
% 17.73/2.62    inference(component_clause,[status(thm)],[f6539])).
% 17.73/2.62  fof(f6568,plain,(
% 17.73/2.62    $false|~spl0_560),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f6540,f272])).
% 17.73/2.62  fof(f6569,plain,(
% 17.73/2.62    ~spl0_560),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f6568])).
% 17.73/2.62  fof(f6821,plain,(
% 17.73/2.62    spl0_567 <=> empty(powerset(powerset(sk0_24(sk0_38))))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f6822,plain,(
% 17.73/2.62    empty(powerset(powerset(sk0_24(sk0_38))))|~spl0_567),
% 17.73/2.62    inference(component_clause,[status(thm)],[f6821])).
% 17.73/2.62  fof(f6840,plain,(
% 17.73/2.62    $false|~spl0_567),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f6822,f272])).
% 17.73/2.62  fof(f6841,plain,(
% 17.73/2.62    ~spl0_567),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f6840])).
% 17.73/2.62  fof(f6849,plain,(
% 17.73/2.62    spl0_572 <=> empty(powerset(powerset(sk0_14(sk0_38))))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f6850,plain,(
% 17.73/2.62    empty(powerset(powerset(sk0_14(sk0_38))))|~spl0_572),
% 17.73/2.62    inference(component_clause,[status(thm)],[f6849])).
% 17.73/2.62  fof(f6868,plain,(
% 17.73/2.62    $false|~spl0_572),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f6850,f272])).
% 17.73/2.62  fof(f6869,plain,(
% 17.73/2.62    ~spl0_572),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f6868])).
% 17.73/2.62  fof(f7060,plain,(
% 17.73/2.62    spl0_589 <=> with_suprema_relstr(sk0_17)),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f7062,plain,(
% 17.73/2.62    ~with_suprema_relstr(sk0_17)|spl0_589),
% 17.73/2.62    inference(component_clause,[status(thm)],[f7060])).
% 17.73/2.62  fof(f7086,plain,(
% 17.73/2.62    $false|spl0_589),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f7062,f495])).
% 17.73/2.62  fof(f7087,plain,(
% 17.73/2.62    spl0_589),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f7086])).
% 17.73/2.62  fof(f7939,plain,(
% 17.73/2.62    spl0_604 <=> empty(powerset(the_carrier(sk0_17)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f7940,plain,(
% 17.73/2.62    empty(powerset(the_carrier(sk0_17)))|~spl0_604),
% 17.73/2.62    inference(component_clause,[status(thm)],[f7939])).
% 17.73/2.62  fof(f7958,plain,(
% 17.73/2.62    $false|~spl0_604),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f7940,f272])).
% 17.73/2.62  fof(f7959,plain,(
% 17.73/2.62    ~spl0_604),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f7958])).
% 17.73/2.62  fof(f7967,plain,(
% 17.73/2.62    spl0_609 <=> empty(powerset(the_carrier(sk0_16)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f7968,plain,(
% 17.73/2.62    empty(powerset(the_carrier(sk0_16)))|~spl0_609),
% 17.73/2.62    inference(component_clause,[status(thm)],[f7967])).
% 17.73/2.62  fof(f7986,plain,(
% 17.73/2.62    $false|~spl0_609),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f7968,f272])).
% 17.73/2.62  fof(f7987,plain,(
% 17.73/2.62    ~spl0_609),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f7986])).
% 17.73/2.62  fof(f7995,plain,(
% 17.73/2.62    spl0_614 <=> empty(powerset(the_carrier(sk0_10)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f7996,plain,(
% 17.73/2.62    empty(powerset(the_carrier(sk0_10)))|~spl0_614),
% 17.73/2.62    inference(component_clause,[status(thm)],[f7995])).
% 17.73/2.62  fof(f8014,plain,(
% 17.73/2.62    $false|~spl0_614),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f7996,f272])).
% 17.73/2.62  fof(f8015,plain,(
% 17.73/2.62    ~spl0_614),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8014])).
% 17.73/2.62  fof(f8350,plain,(
% 17.73/2.62    spl0_668 <=> empty(X0)|~filtered_subset(X0,boole_POSet(cast_as_carrier_subset(sk0_37)))|~upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(sk0_37)))|~element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))|set_difference(X0,singleton(empty_set))=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),X0))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8351,plain,(
% 17.73/2.62    ![X0]: (empty(X0)|~filtered_subset(X0,boole_POSet(cast_as_carrier_subset(sk0_37)))|~upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(sk0_37)))|~element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))|set_difference(X0,singleton(empty_set))=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),X0))|~spl0_668)),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8350])).
% 17.73/2.62  fof(f8353,plain,(
% 17.73/2.62    ![X0]: (empty_carrier(sk0_37)|empty(X0)|~filtered_subset(X0,boole_POSet(cast_as_carrier_subset(sk0_37)))|~upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(sk0_37)))|~element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))|set_difference(X0,singleton(empty_set))=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),X0)))),
% 17.73/2.62    inference(resolution,[status(thm)],[f613,f617])).
% 17.73/2.62  fof(f8354,plain,(
% 17.73/2.62    spl0_36|spl0_668),
% 17.73/2.62    inference(split_clause,[status(thm)],[f8353,f928,f8350])).
% 17.73/2.62  fof(f8647,plain,(
% 17.73/2.62    spl0_684 <=> reflexive_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8649,plain,(
% 17.73/2.62    ~reflexive_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_684),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8647])).
% 17.73/2.62  fof(f8650,plain,(
% 17.73/2.62    spl0_685 <=> transitive_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8652,plain,(
% 17.73/2.62    ~transitive_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_685),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8650])).
% 17.73/2.62  fof(f8653,plain,(
% 17.73/2.62    spl0_686 <=> antisymmetric_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8655,plain,(
% 17.73/2.62    ~antisymmetric_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_686),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8653])).
% 17.73/2.62  fof(f8656,plain,(
% 17.73/2.62    spl0_687 <=> upper_bounded_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8658,plain,(
% 17.73/2.62    ~upper_bounded_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_687),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8656])).
% 17.73/2.62  fof(f8659,plain,(
% 17.73/2.62    spl0_688 <=> rel_str(boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8661,plain,(
% 17.73/2.62    ~rel_str(boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_688),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8659])).
% 17.73/2.62  fof(f8676,plain,(
% 17.73/2.62    spl0_693 <=> with_suprema_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8678,plain,(
% 17.73/2.62    ~with_suprema_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_693),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8676])).
% 17.73/2.62  fof(f8679,plain,(
% 17.73/2.62    spl0_694 <=> with_infima_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8681,plain,(
% 17.73/2.62    ~with_infima_relstr(boole_POSet(cast_as_carrier_subset(sk0_37)))|spl0_694),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8679])).
% 17.73/2.62  fof(f8745,plain,(
% 17.73/2.62    spl0_712 <=> set_difference(sk0_38,singleton(empty_set))=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),sk0_38))),
% 17.73/2.62    introduced(split_symbol_definition)).
% 17.73/2.62  fof(f8746,plain,(
% 17.73/2.62    set_difference(sk0_38,singleton(empty_set))=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),sk0_38))|~spl0_712),
% 17.73/2.62    inference(component_clause,[status(thm)],[f8745])).
% 17.73/2.62  fof(f8748,plain,(
% 17.73/2.62    empty(sk0_38)|~filtered_subset(sk0_38,boole_POSet(cast_as_carrier_subset(sk0_37)))|~element(sk0_38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_37)))))|set_difference(sk0_38,singleton(empty_set))=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),sk0_38))|~spl0_668),
% 17.73/2.62    inference(resolution,[status(thm)],[f8351,f620])).
% 17.73/2.62  fof(f8749,plain,(
% 17.73/2.62    spl0_41|~spl0_255|~spl0_43|spl0_712|~spl0_668),
% 17.73/2.62    inference(split_clause,[status(thm)],[f8748,f956,f2886,f962,f8745,f8350])).
% 17.73/2.62  fof(f8750,plain,(
% 17.73/2.62    $false|spl0_694),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f8681,f290])).
% 17.73/2.62  fof(f8751,plain,(
% 17.73/2.62    spl0_694),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8750])).
% 17.73/2.62  fof(f8752,plain,(
% 17.73/2.62    $false|spl0_693),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f8678,f289])).
% 17.73/2.62  fof(f8753,plain,(
% 17.73/2.62    spl0_693),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8752])).
% 17.73/2.62  fof(f8754,plain,(
% 17.73/2.62    $false|spl0_687),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f8658,f280])).
% 17.73/2.62  fof(f8755,plain,(
% 17.73/2.62    spl0_687),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8754])).
% 17.73/2.62  fof(f8756,plain,(
% 17.73/2.62    $false|spl0_686),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f8655,f278])).
% 17.73/2.62  fof(f8757,plain,(
% 17.73/2.62    spl0_686),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8756])).
% 17.73/2.62  fof(f8758,plain,(
% 17.73/2.62    $false|spl0_685),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f8652,f277])).
% 17.73/2.62  fof(f8759,plain,(
% 17.73/2.62    spl0_685),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8758])).
% 17.73/2.62  fof(f8760,plain,(
% 17.73/2.62    $false|spl0_684),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f8649,f276])).
% 17.73/2.62  fof(f8761,plain,(
% 17.73/2.62    spl0_684),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8760])).
% 17.73/2.62  fof(f8762,plain,(
% 17.73/2.62    $false|spl0_688),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f8661,f224])).
% 17.73/2.62  fof(f8763,plain,(
% 17.73/2.62    spl0_688),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8762])).
% 17.73/2.62  fof(f8764,plain,(
% 17.73/2.62    sk0_38=filter_of_net_str(sk0_37,net_of_bool_filter(sk0_37,cast_as_carrier_subset(sk0_37),sk0_38))|~spl0_290|~spl0_712),
% 17.73/2.62    inference(forward_demodulation,[status(thm)],[f3528,f8746])).
% 17.73/2.62  fof(f8765,plain,(
% 17.73/2.62    $false|~spl0_290|~spl0_712),
% 17.73/2.62    inference(forward_subsumption_resolution,[status(thm)],[f8764,f623])).
% 17.73/2.62  fof(f8766,plain,(
% 17.73/2.62    ~spl0_290|~spl0_712),
% 17.73/2.62    inference(contradiction_clause,[status(thm)],[f8765])).
% 17.73/2.62  fof(f8767,plain,(
% 17.73/2.62    $false),
% 17.73/2.62    inference(sat_refutation,[status(thm)],[f938,f968,f970,f975,f1055,f1065,f2895,f2913,f2987,f3531,f3572,f3720,f4064,f4092,f4190,f4685,f4687,f4689,f4691,f4693,f4695,f4697,f4699,f4701,f4703,f4705,f5109,f5189,f5256,f5605,f5832,f6147,f6310,f6569,f6841,f6869,f7087,f7959,f7987,f8015,f8354,f8749,f8751,f8753,f8755,f8757,f8759,f8761,f8763,f8766])).
% 17.73/2.66  % SZS output end CNFRefutation for theBenchmark.p
% 17.73/2.67  % Elapsed time: 2.305599 seconds
% 17.73/2.67  % CPU time: 17.982619 seconds
% 17.73/2.67  % Total memory used: 207.665 MB
% 17.73/2.67  % Net memory used: 204.509 MB
%------------------------------------------------------------------------------