%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 20:41:00 EDT 2024

% Result   : Theorem 0.21s 0.54s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 19:35:48 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.21/0.54  % Refutation found
% 0.21/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.54  % SZS output start CNFRefutation for theBenchmark
% 0.21/0.54  fof(f3,axiom,(
% 0.21/0.54    (! [A] :( empty(A)=> finite(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f6,axiom,(
% 0.21/0.54    (! [A] :( empty(A)=> relation(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f9,axiom,(
% 0.21/0.54    (! [A] :( finite(A)=> (! [B] :( element(B,powerset(A))=> finite(B) ) )) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f14,axiom,(
% 0.21/0.54    (! [A,B,C,D] :( ( function(C)& quasi_total(C,A,B)& relation_of2(C,A,B) )=> element(function_image(A,B,C,D),powerset(B)) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f15,axiom,(
% 0.21/0.54    (! [A,B] :( relation(first_projection(A,B))& function(first_projection(A,B)) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f16,axiom,(
% 0.21/0.54    (! [A,B] :( function(first_projection_as_func_of(A,B))& quasi_total(first_projection_as_func_of(A,B),cartesian_product2(A,B),A)& relation_of2_as_subset(first_projection_as_func_of(A,B),cartesian_product2(A,B),A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f21,axiom,(
% 0.21/0.54    ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f22,axiom,(
% 0.21/0.54    (! [A,B] :( ( relation(A)& function(A)& finite(B) )=> finite(relation_image(A,B)) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f23,axiom,(
% 0.21/0.54    (! [A,B] :( ( finite(A)& finite(B) )=> finite(cartesian_product2(A,B)) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f24,axiom,(
% 0.21/0.54    (! [A] : ~ empty(powerset(A)) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f26,axiom,(
% 0.21/0.54    ( relation(empty_set)& relation_empty_yielding(empty_set)& function(empty_set)& one_to_one(empty_set)& empty(empty_set)& epsilon_transitive(empty_set)& epsilon_connected(empty_set)& ordinal(empty_set) ) ),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f30,axiom,(
% 0.21/0.54    (! [A] :( ( ~ empty(A)& relation(A) )=> ~ empty(relation_dom(A)) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f33,axiom,(
% 0.21/0.54    (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f35,axiom,(
% 0.21/0.54    (! [A] :( empty(A)=> ( empty(relation_rng(A))& relation(relation_rng(A)) ) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f38,axiom,(
% 0.21/0.54    (? [A] :( relation(A)& function(A)& function_yielding(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f39,axiom,(
% 0.21/0.54    (? [A] :( relation(A)& function(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f46,axiom,(
% 0.21/0.54    (! [A] :(? [B] :( element(B,powerset(A))& empty(B)& relation(B)& function(B)& one_to_one(B)& epsilon_transitive(B)& epsilon_connected(B)& ordinal(B)& natural(B)& finite(B) ) ))),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f49,axiom,(
% 0.21/0.54    (? [A] :( relation(A)& function(A)& transfinite_sequence(A)& ordinal_yielding(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f55,axiom,(
% 0.21/0.54    (? [A] :( relation(A)& function(A)& one_to_one(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f59,axiom,(
% 0.21/0.54    (? [A] :( relation(A)& relation_empty_yielding(A)& function(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f60,axiom,(
% 0.21/0.54    (? [A] :( relation(A)& function(A)& transfinite_sequence(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f61,axiom,(
% 0.21/0.54    (? [A] :( relation(A)& relation_non_empty(A)& function(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f62,axiom,(
% 0.21/0.54    (! [A,B,C,D] :( ( function(C)& quasi_total(C,A,B)& relation_of2(C,A,B) )=> function_image(A,B,C,D) = relation_image(C,D) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f63,axiom,(
% 0.21/0.54    (! [A,B] : first_projection_as_func_of(A,B) = first_projection(A,B) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f64,axiom,(
% 0.21/0.54    (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f66,axiom,(
% 0.21/0.54    (! [A] :( ( relation(A)& function(A) )=> function_image(cartesian_product2(relation_dom(A),relation_rng(A)),relation_dom(A),first_projection_as_func_of(relation_dom(A),relation_rng(A)),A) = relation_dom(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f67,axiom,(
% 0.21/0.54    (! [A,B] :( ( subset(A,B)& finite(B) )=> finite(A) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f71,axiom,(
% 0.21/0.54    (! [A] :( relation(A)=> subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f72,axiom,(
% 0.21/0.54    (! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))=> finite(relation_rng(A)) ) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f73,conjecture,(
% 0.21/0.54    (! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))<=> finite(A) ) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f74,negated_conjecture,(
% 0.21/0.54    ~((! [A] :( ( relation(A)& function(A) )=> ( finite(relation_dom(A))<=> finite(A) ) ) ))),
% 0.21/0.54    inference(negated_conjecture,[status(cth)],[f73])).
% 0.21/0.54  fof(f75,axiom,(
% 0.21/0.54    (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f77,axiom,(
% 0.21/0.54    (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f79,axiom,(
% 0.21/0.54    (! [A] :( empty(A)=> A = empty_set ) )),
% 0.21/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.54  fof(f88,plain,(
% 0.21/0.54    ![A]: (~empty(A)|finite(A))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.21/0.54  fof(f89,plain,(
% 0.21/0.54    ![X0]: (~empty(X0)|finite(X0))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f88])).
% 0.21/0.54  fof(f95,plain,(
% 0.21/0.54    ![A]: (~empty(A)|relation(A))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.21/0.54  fof(f96,plain,(
% 0.21/0.54    ![X0]: (~empty(X0)|relation(X0))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f95])).
% 0.21/0.54  fof(f105,plain,(
% 0.21/0.54    ![A]: (~finite(A)|(![B]: (~element(B,powerset(A))|finite(B))))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.21/0.54  fof(f106,plain,(
% 0.21/0.54    ![X0,X1]: (~finite(X0)|~element(X1,powerset(X0))|finite(X1))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f105])).
% 0.21/0.54  fof(f122,plain,(
% 0.21/0.54    ![A,B,C,D]: (((~function(C)|~quasi_total(C,A,B))|~relation_of2(C,A,B))|element(function_image(A,B,C,D),powerset(B)))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.21/0.54  fof(f123,plain,(
% 0.21/0.54    ![A,B,C]: (((~function(C)|~quasi_total(C,A,B))|~relation_of2(C,A,B))|(![D]: element(function_image(A,B,C,D),powerset(B))))),
% 0.21/0.54    inference(miniscoping,[status(esa)],[f122])).
% 0.21/0.54  fof(f124,plain,(
% 0.21/0.54    ![X0,X1,X2,X3]: (~function(X0)|~quasi_total(X0,X1,X2)|~relation_of2(X0,X1,X2)|element(function_image(X1,X2,X0,X3),powerset(X2)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f123])).
% 0.21/0.54  fof(f125,plain,(
% 0.21/0.54    (![A,B]: relation(first_projection(A,B)))&(![A,B]: function(first_projection(A,B)))),
% 0.21/0.54    inference(miniscoping,[status(esa)],[f15])).
% 0.21/0.54  fof(f126,plain,(
% 0.21/0.54    ![X0,X1]: (relation(first_projection(X0,X1)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.54  fof(f127,plain,(
% 0.21/0.54    ![X0,X1]: (function(first_projection(X0,X1)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.54  fof(f128,plain,(
% 0.21/0.54    ((![A,B]: function(first_projection_as_func_of(A,B)))&(![A,B]: quasi_total(first_projection_as_func_of(A,B),cartesian_product2(A,B),A)))&(![A,B]: relation_of2_as_subset(first_projection_as_func_of(A,B),cartesian_product2(A,B),A))),
% 0.21/0.54    inference(miniscoping,[status(esa)],[f16])).
% 0.21/0.54  fof(f130,plain,(
% 0.21/0.54    ![X0,X1]: (quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f128])).
% 0.21/0.54  fof(f131,plain,(
% 0.21/0.54    ![X0,X1]: (relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f128])).
% 0.21/0.54  fof(f140,plain,(
% 0.21/0.54    empty(empty_set)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.54  fof(f143,plain,(
% 0.21/0.54    ![A,B]: (((~relation(A)|~function(A))|~finite(B))|finite(relation_image(A,B)))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.21/0.54  fof(f144,plain,(
% 0.21/0.54    ![X0,X1]: (~relation(X0)|~function(X0)|~finite(X1)|finite(relation_image(X0,X1)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f143])).
% 0.21/0.54  fof(f145,plain,(
% 0.21/0.54    ![A,B]: ((~finite(A)|~finite(B))|finite(cartesian_product2(A,B)))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.21/0.54  fof(f146,plain,(
% 0.21/0.54    ![X0,X1]: (~finite(X0)|~finite(X1)|finite(cartesian_product2(X0,X1)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f145])).
% 0.21/0.54  fof(f147,plain,(
% 0.21/0.54    ![X0]: (~empty(powerset(X0)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.54  fof(f151,plain,(
% 0.21/0.54    function(empty_set)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f26])).
% 0.21/0.54  fof(f165,plain,(
% 0.21/0.54    ![A]: ((empty(A)|~relation(A))|~empty(relation_dom(A)))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.21/0.54  fof(f166,plain,(
% 0.21/0.54    ![X0]: (empty(X0)|~relation(X0)|~empty(relation_dom(X0)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f165])).
% 0.21/0.54  fof(f171,plain,(
% 0.21/0.54    ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.21/0.54  fof(f172,plain,(
% 0.21/0.54    ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f171])).
% 0.21/0.54  fof(f173,plain,(
% 0.21/0.54    ![X0]: (~empty(X0)|relation(relation_dom(X0)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f171])).
% 0.21/0.54  fof(f175,plain,(
% 0.21/0.54    ![A]: (~empty(A)|(empty(relation_rng(A))&relation(relation_rng(A))))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.21/0.54  fof(f176,plain,(
% 0.21/0.54    ![X0]: (~empty(X0)|empty(relation_rng(X0)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f175])).
% 0.21/0.54  fof(f187,plain,(
% 0.21/0.54    ((relation(sk0_5)&function(sk0_5))&function_yielding(sk0_5))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f38])).
% 0.21/0.54  fof(f188,plain,(
% 0.21/0.54    relation(sk0_5)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f187])).
% 0.21/0.54  fof(f189,plain,(
% 0.21/0.54    function(sk0_5)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f187])).
% 0.21/0.54  fof(f191,plain,(
% 0.21/0.54    (relation(sk0_6)&function(sk0_6))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f39])).
% 0.21/0.54  fof(f192,plain,(
% 0.21/0.54    relation(sk0_6)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f191])).
% 0.21/0.54  fof(f193,plain,(
% 0.21/0.54    function(sk0_6)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f191])).
% 0.21/0.54  fof(f218,plain,(
% 0.21/0.54    ![A]: (((((((((element(sk0_13(A),powerset(A))&empty(sk0_13(A)))&relation(sk0_13(A)))&function(sk0_13(A)))&one_to_one(sk0_13(A)))&epsilon_transitive(sk0_13(A)))&epsilon_connected(sk0_13(A)))&ordinal(sk0_13(A)))&natural(sk0_13(A)))&finite(sk0_13(A)))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f46])).
% 0.21/0.54  fof(f220,plain,(
% 0.21/0.54    ![X0]: (empty(sk0_13(X0)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f218])).
% 0.21/0.54  fof(f241,plain,(
% 0.21/0.54    (((relation(sk0_16)&function(sk0_16))&transfinite_sequence(sk0_16))&ordinal_yielding(sk0_16))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f49])).
% 0.21/0.54  fof(f242,plain,(
% 0.21/0.54    relation(sk0_16)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f241])).
% 0.21/0.54  fof(f243,plain,(
% 0.21/0.54    function(sk0_16)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f241])).
% 0.21/0.54  fof(f266,plain,(
% 0.21/0.54    ((relation(sk0_22)&function(sk0_22))&one_to_one(sk0_22))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f55])).
% 0.21/0.54  fof(f267,plain,(
% 0.21/0.54    relation(sk0_22)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f266])).
% 0.21/0.54  fof(f268,plain,(
% 0.21/0.54    function(sk0_22)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f266])).
% 0.21/0.54  fof(f283,plain,(
% 0.21/0.54    ((relation(sk0_26)&relation_empty_yielding(sk0_26))&function(sk0_26))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f59])).
% 0.21/0.54  fof(f284,plain,(
% 0.21/0.54    relation(sk0_26)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f283])).
% 0.21/0.54  fof(f286,plain,(
% 0.21/0.54    function(sk0_26)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f283])).
% 0.21/0.54  fof(f287,plain,(
% 0.21/0.54    ((relation(sk0_27)&function(sk0_27))&transfinite_sequence(sk0_27))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f60])).
% 0.21/0.54  fof(f288,plain,(
% 0.21/0.54    relation(sk0_27)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f287])).
% 0.21/0.54  fof(f289,plain,(
% 0.21/0.54    function(sk0_27)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f287])).
% 0.21/0.54  fof(f291,plain,(
% 0.21/0.54    ((relation(sk0_28)&relation_non_empty(sk0_28))&function(sk0_28))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f61])).
% 0.21/0.54  fof(f292,plain,(
% 0.21/0.54    relation(sk0_28)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f291])).
% 0.21/0.54  fof(f294,plain,(
% 0.21/0.54    function(sk0_28)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f291])).
% 0.21/0.54  fof(f295,plain,(
% 0.21/0.54    ![A,B,C,D]: (((~function(C)|~quasi_total(C,A,B))|~relation_of2(C,A,B))|function_image(A,B,C,D)=relation_image(C,D))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f62])).
% 0.21/0.54  fof(f296,plain,(
% 0.21/0.54    ![A,B,C]: (((~function(C)|~quasi_total(C,A,B))|~relation_of2(C,A,B))|(![D]: function_image(A,B,C,D)=relation_image(C,D)))),
% 0.21/0.54    inference(miniscoping,[status(esa)],[f295])).
% 0.21/0.54  fof(f297,plain,(
% 0.21/0.54    ![X0,X1,X2,X3]: (~function(X0)|~quasi_total(X0,X1,X2)|~relation_of2(X0,X1,X2)|function_image(X1,X2,X0,X3)=relation_image(X0,X3))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f296])).
% 0.21/0.54  fof(f298,plain,(
% 0.21/0.54    ![X0,X1]: (first_projection_as_func_of(X0,X1)=first_projection(X0,X1))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.54  fof(f299,plain,(
% 0.21/0.54    ![A,B,C]: ((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.21/0.54    inference(NNF_transformation,[status(esa)],[f64])).
% 0.21/0.54  fof(f300,plain,(
% 0.21/0.54    (![A,B,C]: (~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))&(![A,B,C]: (relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.21/0.54    inference(miniscoping,[status(esa)],[f299])).
% 0.21/0.54  fof(f301,plain,(
% 0.21/0.54    ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f300])).
% 0.21/0.54  fof(f305,plain,(
% 0.21/0.54    ![A]: ((~relation(A)|~function(A))|function_image(cartesian_product2(relation_dom(A),relation_rng(A)),relation_dom(A),first_projection_as_func_of(relation_dom(A),relation_rng(A)),A)=relation_dom(A))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f66])).
% 0.21/0.54  fof(f306,plain,(
% 0.21/0.54    ![X0]: (~relation(X0)|~function(X0)|function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0)=relation_dom(X0))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f305])).
% 0.21/0.54  fof(f307,plain,(
% 0.21/0.54    ![A,B]: ((~subset(A,B)|~finite(B))|finite(A))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.21/0.54  fof(f308,plain,(
% 0.21/0.54    ![A]: ((![B]: (~subset(A,B)|~finite(B)))|finite(A))),
% 0.21/0.54    inference(miniscoping,[status(esa)],[f307])).
% 0.21/0.54  fof(f309,plain,(
% 0.21/0.54    ![X0,X1]: (~subset(X0,X1)|~finite(X1)|finite(X0))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f308])).
% 0.21/0.54  fof(f317,plain,(
% 0.21/0.54    ![A]: (~relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f71])).
% 0.21/0.54  fof(f318,plain,(
% 0.21/0.54    ![X0]: (~relation(X0)|subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f317])).
% 0.21/0.54  fof(f319,plain,(
% 0.21/0.54    ![A]: ((~relation(A)|~function(A))|(~finite(relation_dom(A))|finite(relation_rng(A))))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f72])).
% 0.21/0.54  fof(f320,plain,(
% 0.21/0.54    ![X0]: (~relation(X0)|~function(X0)|~finite(relation_dom(X0))|finite(relation_rng(X0)))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f319])).
% 0.21/0.54  fof(f321,plain,(
% 0.21/0.54    (?[A]: ((relation(A)&function(A))&(finite(relation_dom(A))<~>finite(A))))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f74])).
% 0.21/0.54  fof(f322,plain,(
% 0.21/0.54    ?[A]: ((relation(A)&function(A))&((finite(relation_dom(A))|finite(A))&(~finite(relation_dom(A))|~finite(A))))),
% 0.21/0.54    inference(NNF_transformation,[status(esa)],[f321])).
% 0.21/0.54  fof(f323,plain,(
% 0.21/0.54    ((relation(sk0_29)&function(sk0_29))&((finite(relation_dom(sk0_29))|finite(sk0_29))&(~finite(relation_dom(sk0_29))|~finite(sk0_29))))),
% 0.21/0.54    inference(skolemization,[status(esa)],[f322])).
% 0.21/0.54  fof(f324,plain,(
% 0.21/0.54    relation(sk0_29)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f323])).
% 0.21/0.54  fof(f325,plain,(
% 0.21/0.54    function(sk0_29)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f323])).
% 0.21/0.54  fof(f326,plain,(
% 0.21/0.54    finite(relation_dom(sk0_29))|finite(sk0_29)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f323])).
% 0.21/0.54  fof(f327,plain,(
% 0.21/0.54    ~finite(relation_dom(sk0_29))|~finite(sk0_29)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f323])).
% 0.21/0.54  fof(f328,plain,(
% 0.21/0.54    ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f75])).
% 0.21/0.54  fof(f329,plain,(
% 0.21/0.54    ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f328])).
% 0.21/0.54  fof(f334,plain,(
% 0.21/0.54    ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f77])).
% 0.21/0.54  fof(f335,plain,(
% 0.21/0.54    ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.21/0.54    inference(miniscoping,[status(esa)],[f334])).
% 0.21/0.54  fof(f336,plain,(
% 0.21/0.54    ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f335])).
% 0.21/0.54  fof(f340,plain,(
% 0.21/0.54    ![A]: (~empty(A)|A=empty_set)),
% 0.21/0.54    inference(pre_NNF_transformation,[status(esa)],[f79])).
% 0.21/0.54  fof(f341,plain,(
% 0.21/0.54    ![X0]: (~empty(X0)|X0=empty_set)),
% 0.21/0.54    inference(cnf_transformation,[status(esa)],[f340])).
% 0.21/0.54  fof(f348,plain,(
% 0.21/0.54    spl0_0 <=> finite(relation_dom(sk0_29))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f350,plain,(
% 0.21/0.54    ~finite(relation_dom(sk0_29))|spl0_0),
% 0.21/0.54    inference(component_clause,[status(thm)],[f348])).
% 0.21/0.54  fof(f351,plain,(
% 0.21/0.54    spl0_1 <=> finite(sk0_29)),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f353,plain,(
% 0.21/0.54    ~finite(sk0_29)|spl0_1),
% 0.21/0.54    inference(component_clause,[status(thm)],[f351])).
% 0.21/0.54  fof(f354,plain,(
% 0.21/0.54    spl0_0|spl0_1),
% 0.21/0.54    inference(split_clause,[status(thm)],[f326,f348,f351])).
% 0.21/0.54  fof(f355,plain,(
% 0.21/0.54    ~spl0_0|~spl0_1),
% 0.21/0.54    inference(split_clause,[status(thm)],[f327,f348,f351])).
% 0.21/0.54  fof(f356,plain,(
% 0.21/0.54    empty(relation_dom(empty_set))),
% 0.21/0.54    inference(resolution,[status(thm)],[f140,f172])).
% 0.21/0.54  fof(f357,plain,(
% 0.21/0.54    finite(empty_set)),
% 0.21/0.54    inference(resolution,[status(thm)],[f140,f89])).
% 0.21/0.54  fof(f358,plain,(
% 0.21/0.54    spl0_2 <=> empty(empty_set)),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f361,plain,(
% 0.21/0.54    spl0_3 <=> relation(empty_set)),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f362,plain,(
% 0.21/0.54    relation(empty_set)|~spl0_3),
% 0.21/0.54    inference(component_clause,[status(thm)],[f361])).
% 0.21/0.54  fof(f363,plain,(
% 0.21/0.54    ~relation(empty_set)|spl0_3),
% 0.21/0.54    inference(component_clause,[status(thm)],[f361])).
% 0.21/0.54  fof(f364,plain,(
% 0.21/0.54    empty(empty_set)|~relation(empty_set)),
% 0.21/0.54    inference(resolution,[status(thm)],[f356,f166])).
% 0.21/0.54  fof(f365,plain,(
% 0.21/0.54    spl0_2|~spl0_3),
% 0.21/0.54    inference(split_clause,[status(thm)],[f364,f358,f361])).
% 0.21/0.54  fof(f366,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(empty_set)))),
% 0.21/0.54    inference(resolution,[status(thm)],[f356,f172])).
% 0.21/0.54  fof(f368,plain,(
% 0.21/0.54    ~empty(empty_set)|spl0_3),
% 0.21/0.54    inference(resolution,[status(thm)],[f363,f96])).
% 0.21/0.54  fof(f369,plain,(
% 0.21/0.54    $false|spl0_3),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f368,f140])).
% 0.21/0.54  fof(f370,plain,(
% 0.21/0.54    spl0_3),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f369])).
% 0.21/0.54  fof(f371,plain,(
% 0.21/0.54    spl0_4 <=> empty(relation_dom(empty_set))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f374,plain,(
% 0.21/0.54    spl0_5 <=> relation(relation_dom(empty_set))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f376,plain,(
% 0.21/0.54    ~relation(relation_dom(empty_set))|spl0_5),
% 0.21/0.54    inference(component_clause,[status(thm)],[f374])).
% 0.21/0.54  fof(f377,plain,(
% 0.21/0.54    empty(relation_dom(empty_set))|~relation(relation_dom(empty_set))),
% 0.21/0.54    inference(resolution,[status(thm)],[f366,f166])).
% 0.21/0.54  fof(f378,plain,(
% 0.21/0.54    spl0_4|~spl0_5),
% 0.21/0.54    inference(split_clause,[status(thm)],[f377,f371,f374])).
% 0.21/0.54  fof(f379,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(empty_set))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f366,f172])).
% 0.21/0.54  fof(f381,plain,(
% 0.21/0.54    ~empty(empty_set)|spl0_5),
% 0.21/0.54    inference(resolution,[status(thm)],[f376,f173])).
% 0.21/0.54  fof(f382,plain,(
% 0.21/0.54    $false|spl0_5),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f381,f140])).
% 0.21/0.54  fof(f383,plain,(
% 0.21/0.54    spl0_5),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f382])).
% 0.21/0.54  fof(f384,plain,(
% 0.21/0.54    spl0_6 <=> empty(relation_dom(relation_dom(empty_set)))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f387,plain,(
% 0.21/0.54    spl0_7 <=> relation(relation_dom(relation_dom(empty_set)))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f389,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(empty_set)))|spl0_7),
% 0.21/0.54    inference(component_clause,[status(thm)],[f387])).
% 0.21/0.54  fof(f390,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(empty_set)))|~relation(relation_dom(relation_dom(empty_set)))),
% 0.21/0.54    inference(resolution,[status(thm)],[f379,f166])).
% 0.21/0.54  fof(f391,plain,(
% 0.21/0.54    spl0_6|~spl0_7),
% 0.21/0.54    inference(split_clause,[status(thm)],[f390,f384,f387])).
% 0.21/0.54  fof(f392,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f379,f172])).
% 0.21/0.54  fof(f394,plain,(
% 0.21/0.54    ~empty(relation_dom(empty_set))|spl0_7),
% 0.21/0.54    inference(resolution,[status(thm)],[f389,f173])).
% 0.21/0.54  fof(f395,plain,(
% 0.21/0.54    $false|spl0_7),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f394,f356])).
% 0.21/0.54  fof(f396,plain,(
% 0.21/0.54    spl0_7),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f395])).
% 0.21/0.54  fof(f397,plain,(
% 0.21/0.54    spl0_8 <=> empty(relation_dom(relation_dom(relation_dom(empty_set))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f400,plain,(
% 0.21/0.54    spl0_9 <=> relation(relation_dom(relation_dom(relation_dom(empty_set))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f402,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_9),
% 0.21/0.54    inference(component_clause,[status(thm)],[f400])).
% 0.21/0.54  fof(f403,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(empty_set))))|~relation(relation_dom(relation_dom(relation_dom(empty_set))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f392,f166])).
% 0.21/0.54  fof(f404,plain,(
% 0.21/0.54    spl0_8|~spl0_9),
% 0.21/0.54    inference(split_clause,[status(thm)],[f403,f397,f400])).
% 0.21/0.54  fof(f405,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f392,f172])).
% 0.21/0.54  fof(f407,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(empty_set)))|spl0_9),
% 0.21/0.54    inference(resolution,[status(thm)],[f402,f173])).
% 0.21/0.54  fof(f408,plain,(
% 0.21/0.54    $false|spl0_9),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f407,f366])).
% 0.21/0.54  fof(f409,plain,(
% 0.21/0.54    spl0_9),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f408])).
% 0.21/0.54  fof(f410,plain,(
% 0.21/0.54    spl0_10 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f413,plain,(
% 0.21/0.54    spl0_11 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f415,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_11),
% 0.21/0.54    inference(component_clause,[status(thm)],[f413])).
% 0.21/0.54  fof(f416,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f405,f166])).
% 0.21/0.54  fof(f417,plain,(
% 0.21/0.54    spl0_10|~spl0_11),
% 0.21/0.54    inference(split_clause,[status(thm)],[f416,f410,f413])).
% 0.21/0.54  fof(f418,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f405,f172])).
% 0.21/0.54  fof(f420,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_11),
% 0.21/0.54    inference(resolution,[status(thm)],[f415,f173])).
% 0.21/0.54  fof(f421,plain,(
% 0.21/0.54    $false|spl0_11),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f420,f379])).
% 0.21/0.54  fof(f422,plain,(
% 0.21/0.54    spl0_11),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f421])).
% 0.21/0.54  fof(f423,plain,(
% 0.21/0.54    spl0_12 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f426,plain,(
% 0.21/0.54    spl0_13 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f428,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|spl0_13),
% 0.21/0.54    inference(component_clause,[status(thm)],[f426])).
% 0.21/0.54  fof(f429,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f418,f166])).
% 0.21/0.54  fof(f430,plain,(
% 0.21/0.54    spl0_12|~spl0_13),
% 0.21/0.54    inference(split_clause,[status(thm)],[f429,f423,f426])).
% 0.21/0.54  fof(f431,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f418,f172])).
% 0.21/0.54  fof(f433,plain,(
% 0.21/0.54    spl0_14 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f436,plain,(
% 0.21/0.54    spl0_15 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f438,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))|spl0_15),
% 0.21/0.54    inference(component_clause,[status(thm)],[f436])).
% 0.21/0.54  fof(f439,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f431,f166])).
% 0.21/0.54  fof(f440,plain,(
% 0.21/0.54    spl0_14|~spl0_15),
% 0.21/0.54    inference(split_clause,[status(thm)],[f439,f433,f436])).
% 0.21/0.54  fof(f441,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f431,f172])).
% 0.21/0.54  fof(f443,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_13),
% 0.21/0.54    inference(resolution,[status(thm)],[f428,f173])).
% 0.21/0.54  fof(f444,plain,(
% 0.21/0.54    $false|spl0_13),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f443,f392])).
% 0.21/0.54  fof(f445,plain,(
% 0.21/0.54    spl0_13),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f444])).
% 0.21/0.54  fof(f446,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|spl0_15),
% 0.21/0.54    inference(resolution,[status(thm)],[f438,f173])).
% 0.21/0.54  fof(f447,plain,(
% 0.21/0.54    $false|spl0_15),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f446,f405])).
% 0.21/0.54  fof(f448,plain,(
% 0.21/0.54    spl0_15),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f447])).
% 0.21/0.54  fof(f449,plain,(
% 0.21/0.54    spl0_16 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f452,plain,(
% 0.21/0.54    spl0_17 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f454,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))|spl0_17),
% 0.21/0.54    inference(component_clause,[status(thm)],[f452])).
% 0.21/0.54  fof(f455,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f441,f166])).
% 0.21/0.54  fof(f456,plain,(
% 0.21/0.54    spl0_16|~spl0_17),
% 0.21/0.54    inference(split_clause,[status(thm)],[f455,f449,f452])).
% 0.21/0.54  fof(f457,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f441,f172])).
% 0.21/0.54  fof(f459,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))|spl0_17),
% 0.21/0.54    inference(resolution,[status(thm)],[f454,f173])).
% 0.21/0.54  fof(f460,plain,(
% 0.21/0.54    $false|spl0_17),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f459,f418])).
% 0.21/0.54  fof(f461,plain,(
% 0.21/0.54    spl0_17),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f460])).
% 0.21/0.54  fof(f462,plain,(
% 0.21/0.54    spl0_18 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f465,plain,(
% 0.21/0.54    spl0_19 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f467,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))|spl0_19),
% 0.21/0.54    inference(component_clause,[status(thm)],[f465])).
% 0.21/0.54  fof(f468,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f457,f166])).
% 0.21/0.54  fof(f469,plain,(
% 0.21/0.54    spl0_18|~spl0_19),
% 0.21/0.54    inference(split_clause,[status(thm)],[f468,f462,f465])).
% 0.21/0.54  fof(f470,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f457,f172])).
% 0.21/0.54  fof(f472,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))|spl0_19),
% 0.21/0.54    inference(resolution,[status(thm)],[f467,f173])).
% 0.21/0.54  fof(f473,plain,(
% 0.21/0.54    $false|spl0_19),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f472,f431])).
% 0.21/0.54  fof(f474,plain,(
% 0.21/0.54    spl0_19),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f473])).
% 0.21/0.54  fof(f475,plain,(
% 0.21/0.54    spl0_20 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f478,plain,(
% 0.21/0.54    spl0_21 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f480,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))|spl0_21),
% 0.21/0.54    inference(component_clause,[status(thm)],[f478])).
% 0.21/0.54  fof(f481,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f470,f166])).
% 0.21/0.54  fof(f482,plain,(
% 0.21/0.54    spl0_20|~spl0_21),
% 0.21/0.54    inference(split_clause,[status(thm)],[f481,f475,f478])).
% 0.21/0.54  fof(f483,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f470,f172])).
% 0.21/0.54  fof(f485,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))|spl0_21),
% 0.21/0.54    inference(resolution,[status(thm)],[f480,f173])).
% 0.21/0.54  fof(f486,plain,(
% 0.21/0.54    $false|spl0_21),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f485,f441])).
% 0.21/0.54  fof(f487,plain,(
% 0.21/0.54    spl0_21),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f486])).
% 0.21/0.54  fof(f488,plain,(
% 0.21/0.54    spl0_22 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f491,plain,(
% 0.21/0.54    spl0_23 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f493,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))|spl0_23),
% 0.21/0.54    inference(component_clause,[status(thm)],[f491])).
% 0.21/0.54  fof(f494,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f483,f166])).
% 0.21/0.54  fof(f495,plain,(
% 0.21/0.54    spl0_22|~spl0_23),
% 0.21/0.54    inference(split_clause,[status(thm)],[f494,f488,f491])).
% 0.21/0.54  fof(f496,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f483,f172])).
% 0.21/0.54  fof(f498,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))|spl0_23),
% 0.21/0.54    inference(resolution,[status(thm)],[f493,f173])).
% 0.21/0.54  fof(f499,plain,(
% 0.21/0.54    $false|spl0_23),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f498,f457])).
% 0.21/0.54  fof(f500,plain,(
% 0.21/0.54    spl0_23),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f499])).
% 0.21/0.54  fof(f501,plain,(
% 0.21/0.54    spl0_24 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f504,plain,(
% 0.21/0.54    spl0_25 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f506,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))|spl0_25),
% 0.21/0.54    inference(component_clause,[status(thm)],[f504])).
% 0.21/0.54  fof(f507,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f496,f166])).
% 0.21/0.54  fof(f508,plain,(
% 0.21/0.54    spl0_24|~spl0_25),
% 0.21/0.54    inference(split_clause,[status(thm)],[f507,f501,f504])).
% 0.21/0.54  fof(f509,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f496,f172])).
% 0.21/0.54  fof(f511,plain,(
% 0.21/0.54    spl0_26 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f514,plain,(
% 0.21/0.54    spl0_27 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f516,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))|spl0_27),
% 0.21/0.54    inference(component_clause,[status(thm)],[f514])).
% 0.21/0.54  fof(f517,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f509,f166])).
% 0.21/0.54  fof(f518,plain,(
% 0.21/0.54    spl0_26|~spl0_27),
% 0.21/0.54    inference(split_clause,[status(thm)],[f517,f511,f514])).
% 0.21/0.54  fof(f519,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f509,f172])).
% 0.21/0.54  fof(f521,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))|spl0_25),
% 0.21/0.54    inference(resolution,[status(thm)],[f506,f173])).
% 0.21/0.54  fof(f522,plain,(
% 0.21/0.54    $false|spl0_25),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f521,f470])).
% 0.21/0.54  fof(f523,plain,(
% 0.21/0.54    spl0_25),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f522])).
% 0.21/0.54  fof(f524,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))|spl0_27),
% 0.21/0.54    inference(resolution,[status(thm)],[f516,f173])).
% 0.21/0.54  fof(f525,plain,(
% 0.21/0.54    $false|spl0_27),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f524,f483])).
% 0.21/0.54  fof(f526,plain,(
% 0.21/0.54    spl0_27),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f525])).
% 0.21/0.54  fof(f527,plain,(
% 0.21/0.54    spl0_28 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f530,plain,(
% 0.21/0.54    spl0_29 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f532,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))|spl0_29),
% 0.21/0.54    inference(component_clause,[status(thm)],[f530])).
% 0.21/0.54  fof(f533,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f519,f166])).
% 0.21/0.54  fof(f534,plain,(
% 0.21/0.54    spl0_28|~spl0_29),
% 0.21/0.54    inference(split_clause,[status(thm)],[f533,f527,f530])).
% 0.21/0.54  fof(f535,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))),
% 0.21/0.54    inference(resolution,[status(thm)],[f519,f172])).
% 0.21/0.54  fof(f537,plain,(
% 0.21/0.54    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))|spl0_29),
% 0.21/0.54    inference(resolution,[status(thm)],[f532,f173])).
% 0.21/0.54  fof(f538,plain,(
% 0.21/0.54    $false|spl0_29),
% 0.21/0.54    inference(forward_subsumption_resolution,[status(thm)],[f537,f496])).
% 0.21/0.54  fof(f539,plain,(
% 0.21/0.54    spl0_29),
% 0.21/0.54    inference(contradiction_clause,[status(thm)],[f538])).
% 0.21/0.54  fof(f540,plain,(
% 0.21/0.54    spl0_30 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f543,plain,(
% 0.21/0.54    spl0_31 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))),
% 0.21/0.54    introduced(split_symbol_definition)).
% 0.21/0.54  fof(f545,plain,(
% 0.21/0.54    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))|spl0_31),
% 0.21/0.54    inference(component_clause,[status(thm)],[f543])).
% 0.21/0.54  fof(f546,plain,(
% 0.21/0.54    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f535,f166])).
% 0.21/0.55  fof(f547,plain,(
% 0.21/0.55    spl0_30|~spl0_31),
% 0.21/0.55    inference(split_clause,[status(thm)],[f546,f540,f543])).
% 0.21/0.55  fof(f548,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f535,f172])).
% 0.21/0.55  fof(f550,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))|spl0_31),
% 0.21/0.55    inference(resolution,[status(thm)],[f545,f173])).
% 0.21/0.55  fof(f551,plain,(
% 0.21/0.55    $false|spl0_31),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f550,f509])).
% 0.21/0.55  fof(f552,plain,(
% 0.21/0.55    spl0_31),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f551])).
% 0.21/0.55  fof(f553,plain,(
% 0.21/0.55    spl0_32 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f556,plain,(
% 0.21/0.55    spl0_33 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f558,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))|spl0_33),
% 0.21/0.55    inference(component_clause,[status(thm)],[f556])).
% 0.21/0.55  fof(f559,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f548,f166])).
% 0.21/0.55  fof(f560,plain,(
% 0.21/0.55    spl0_32|~spl0_33),
% 0.21/0.55    inference(split_clause,[status(thm)],[f559,f553,f556])).
% 0.21/0.55  fof(f561,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f548,f172])).
% 0.21/0.55  fof(f563,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))|spl0_33),
% 0.21/0.55    inference(resolution,[status(thm)],[f558,f173])).
% 0.21/0.55  fof(f564,plain,(
% 0.21/0.55    $false|spl0_33),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f563,f519])).
% 0.21/0.55  fof(f565,plain,(
% 0.21/0.55    spl0_33),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f564])).
% 0.21/0.55  fof(f566,plain,(
% 0.21/0.55    spl0_34 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f569,plain,(
% 0.21/0.55    spl0_35 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f571,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))|spl0_35),
% 0.21/0.55    inference(component_clause,[status(thm)],[f569])).
% 0.21/0.55  fof(f572,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f561,f166])).
% 0.21/0.55  fof(f573,plain,(
% 0.21/0.55    spl0_34|~spl0_35),
% 0.21/0.55    inference(split_clause,[status(thm)],[f572,f566,f569])).
% 0.21/0.55  fof(f574,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f561,f172])).
% 0.21/0.55  fof(f576,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))|spl0_35),
% 0.21/0.55    inference(resolution,[status(thm)],[f571,f173])).
% 0.21/0.55  fof(f577,plain,(
% 0.21/0.55    $false|spl0_35),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f576,f535])).
% 0.21/0.55  fof(f578,plain,(
% 0.21/0.55    spl0_35),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f577])).
% 0.21/0.55  fof(f579,plain,(
% 0.21/0.55    spl0_36 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f582,plain,(
% 0.21/0.55    spl0_37 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f584,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))|spl0_37),
% 0.21/0.55    inference(component_clause,[status(thm)],[f582])).
% 0.21/0.55  fof(f585,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f574,f166])).
% 0.21/0.55  fof(f586,plain,(
% 0.21/0.55    spl0_36|~spl0_37),
% 0.21/0.55    inference(split_clause,[status(thm)],[f585,f579,f582])).
% 0.21/0.55  fof(f587,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f574,f172])).
% 0.21/0.55  fof(f589,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))|spl0_37),
% 0.21/0.55    inference(resolution,[status(thm)],[f584,f173])).
% 0.21/0.55  fof(f590,plain,(
% 0.21/0.55    $false|spl0_37),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f589,f548])).
% 0.21/0.55  fof(f591,plain,(
% 0.21/0.55    spl0_37),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f590])).
% 0.21/0.55  fof(f592,plain,(
% 0.21/0.55    spl0_38 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f595,plain,(
% 0.21/0.55    spl0_39 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f597,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))|spl0_39),
% 0.21/0.55    inference(component_clause,[status(thm)],[f595])).
% 0.21/0.55  fof(f598,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f587,f166])).
% 0.21/0.55  fof(f599,plain,(
% 0.21/0.55    spl0_38|~spl0_39),
% 0.21/0.55    inference(split_clause,[status(thm)],[f598,f592,f595])).
% 0.21/0.55  fof(f600,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f587,f172])).
% 0.21/0.55  fof(f602,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))|spl0_39),
% 0.21/0.55    inference(resolution,[status(thm)],[f597,f173])).
% 0.21/0.55  fof(f603,plain,(
% 0.21/0.55    $false|spl0_39),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f602,f561])).
% 0.21/0.55  fof(f604,plain,(
% 0.21/0.55    spl0_39),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f603])).
% 0.21/0.55  fof(f605,plain,(
% 0.21/0.55    spl0_40 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f608,plain,(
% 0.21/0.55    spl0_41 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f610,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))|spl0_41),
% 0.21/0.55    inference(component_clause,[status(thm)],[f608])).
% 0.21/0.55  fof(f611,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f600,f166])).
% 0.21/0.55  fof(f612,plain,(
% 0.21/0.55    spl0_40|~spl0_41),
% 0.21/0.55    inference(split_clause,[status(thm)],[f611,f605,f608])).
% 0.21/0.55  fof(f613,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f600,f172])).
% 0.21/0.55  fof(f615,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))|spl0_41),
% 0.21/0.55    inference(resolution,[status(thm)],[f610,f173])).
% 0.21/0.55  fof(f616,plain,(
% 0.21/0.55    $false|spl0_41),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f615,f574])).
% 0.21/0.55  fof(f617,plain,(
% 0.21/0.55    spl0_41),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f616])).
% 0.21/0.55  fof(f618,plain,(
% 0.21/0.55    spl0_42 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f621,plain,(
% 0.21/0.55    spl0_43 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f623,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))|spl0_43),
% 0.21/0.55    inference(component_clause,[status(thm)],[f621])).
% 0.21/0.55  fof(f624,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f613,f166])).
% 0.21/0.55  fof(f625,plain,(
% 0.21/0.55    spl0_42|~spl0_43),
% 0.21/0.55    inference(split_clause,[status(thm)],[f624,f618,f621])).
% 0.21/0.55  fof(f626,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f613,f172])).
% 0.21/0.55  fof(f628,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))|spl0_43),
% 0.21/0.55    inference(resolution,[status(thm)],[f623,f173])).
% 0.21/0.55  fof(f629,plain,(
% 0.21/0.55    $false|spl0_43),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f628,f587])).
% 0.21/0.55  fof(f630,plain,(
% 0.21/0.55    spl0_43),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f629])).
% 0.21/0.55  fof(f631,plain,(
% 0.21/0.55    spl0_44 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f634,plain,(
% 0.21/0.55    spl0_45 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f636,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))|spl0_45),
% 0.21/0.55    inference(component_clause,[status(thm)],[f634])).
% 0.21/0.55  fof(f637,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f626,f166])).
% 0.21/0.55  fof(f638,plain,(
% 0.21/0.55    spl0_44|~spl0_45),
% 0.21/0.55    inference(split_clause,[status(thm)],[f637,f631,f634])).
% 0.21/0.55  fof(f639,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f626,f172])).
% 0.21/0.55  fof(f641,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))|spl0_45),
% 0.21/0.55    inference(resolution,[status(thm)],[f636,f173])).
% 0.21/0.55  fof(f642,plain,(
% 0.21/0.55    $false|spl0_45),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f641,f600])).
% 0.21/0.55  fof(f643,plain,(
% 0.21/0.55    spl0_45),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f642])).
% 0.21/0.55  fof(f644,plain,(
% 0.21/0.55    spl0_46 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f647,plain,(
% 0.21/0.55    spl0_47 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f649,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))|spl0_47),
% 0.21/0.55    inference(component_clause,[status(thm)],[f647])).
% 0.21/0.55  fof(f650,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f639,f166])).
% 0.21/0.55  fof(f651,plain,(
% 0.21/0.55    spl0_46|~spl0_47),
% 0.21/0.55    inference(split_clause,[status(thm)],[f650,f644,f647])).
% 0.21/0.55  fof(f652,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f639,f172])).
% 0.21/0.55  fof(f654,plain,(
% 0.21/0.55    spl0_48 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f657,plain,(
% 0.21/0.55    spl0_49 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f659,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))))|spl0_49),
% 0.21/0.55    inference(component_clause,[status(thm)],[f657])).
% 0.21/0.55  fof(f660,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f652,f166])).
% 0.21/0.55  fof(f661,plain,(
% 0.21/0.55    spl0_48|~spl0_49),
% 0.21/0.55    inference(split_clause,[status(thm)],[f660,f654,f657])).
% 0.21/0.55  fof(f662,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f652,f172])).
% 0.21/0.55  fof(f664,plain,(
% 0.21/0.55    ~empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))|spl0_47),
% 0.21/0.55    inference(resolution,[status(thm)],[f649,f173])).
% 0.21/0.55  fof(f665,plain,(
% 0.21/0.55    $false|spl0_47),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f664,f613])).
% 0.21/0.55  fof(f666,plain,(
% 0.21/0.55    spl0_47),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f665])).
% 0.21/0.55  fof(f667,plain,(
% 0.21/0.55    spl0_50 <=> empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f670,plain,(
% 0.21/0.55    spl0_51 <=> relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f672,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))))|spl0_51),
% 0.21/0.55    inference(component_clause,[status(thm)],[f670])).
% 0.21/0.55  fof(f673,plain,(
% 0.21/0.55    empty(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))))|~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f662,f166])).
% 0.21/0.55  fof(f674,plain,(
% 0.21/0.55    spl0_50|~spl0_51),
% 0.21/0.55    inference(split_clause,[status(thm)],[f673,f667,f670])).
% 0.21/0.55  fof(f716,plain,(
% 0.21/0.55    relation_dom(empty_set)=empty_set),
% 0.21/0.55    inference(resolution,[status(thm)],[f341,f356])).
% 0.21/0.55  fof(f1806,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f659])).
% 0.21/0.55  fof(f1807,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1806])).
% 0.21/0.55  fof(f1808,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1807])).
% 0.21/0.55  fof(f1809,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1808])).
% 0.21/0.55  fof(f1810,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1809])).
% 0.21/0.55  fof(f1811,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1810])).
% 0.21/0.55  fof(f1812,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1811])).
% 0.21/0.55  fof(f1813,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1812])).
% 0.21/0.55  fof(f1814,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1813])).
% 0.21/0.55  fof(f1815,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1814])).
% 0.21/0.55  fof(f1816,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1815])).
% 0.21/0.55  fof(f1817,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1816])).
% 0.21/0.55  fof(f1818,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1817])).
% 0.21/0.55  fof(f1819,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1818])).
% 0.21/0.55  fof(f1820,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1819])).
% 0.21/0.55  fof(f1821,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1820])).
% 0.21/0.55  fof(f1822,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1821])).
% 0.21/0.55  fof(f1823,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1822])).
% 0.21/0.55  fof(f1824,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1823])).
% 0.21/0.55  fof(f1825,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1824])).
% 0.21/0.55  fof(f1826,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(empty_set)))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1825])).
% 0.21/0.55  fof(f1827,plain,(
% 0.21/0.55    ~relation(relation_dom(empty_set))|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1826])).
% 0.21/0.55  fof(f1828,plain,(
% 0.21/0.55    ~relation(empty_set)|spl0_49),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1827])).
% 0.21/0.55  fof(f1829,plain,(
% 0.21/0.55    $false|~spl0_3|spl0_49),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f1828,f362])).
% 0.21/0.55  fof(f1830,plain,(
% 0.21/0.55    ~spl0_3|spl0_49),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f1829])).
% 0.21/0.55  fof(f1922,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f672])).
% 0.21/0.55  fof(f1923,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1922])).
% 0.21/0.55  fof(f1924,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1923])).
% 0.21/0.55  fof(f1925,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1924])).
% 0.21/0.55  fof(f1926,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1925])).
% 0.21/0.55  fof(f1927,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1926])).
% 0.21/0.55  fof(f1928,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1927])).
% 0.21/0.55  fof(f1929,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1928])).
% 0.21/0.55  fof(f1930,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1929])).
% 0.21/0.55  fof(f1931,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1930])).
% 0.21/0.55  fof(f1932,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1931])).
% 0.21/0.55  fof(f1933,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1932])).
% 0.21/0.55  fof(f1934,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1933])).
% 0.21/0.55  fof(f1935,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1934])).
% 0.21/0.55  fof(f1936,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1935])).
% 0.21/0.55  fof(f1937,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1936])).
% 0.21/0.55  fof(f1938,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1937])).
% 0.21/0.55  fof(f1939,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1938])).
% 0.21/0.55  fof(f1940,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(relation_dom(empty_set))))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1939])).
% 0.21/0.55  fof(f1941,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(relation_dom(empty_set)))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1940])).
% 0.21/0.55  fof(f1942,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(relation_dom(empty_set))))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1941])).
% 0.21/0.55  fof(f1943,plain,(
% 0.21/0.55    ~relation(relation_dom(relation_dom(empty_set)))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1942])).
% 0.21/0.55  fof(f1944,plain,(
% 0.21/0.55    ~relation(relation_dom(empty_set))|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1943])).
% 0.21/0.55  fof(f1945,plain,(
% 0.21/0.55    ~relation(empty_set)|spl0_51),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f1944])).
% 0.21/0.55  fof(f1946,plain,(
% 0.21/0.55    $false|~spl0_3|spl0_51),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f1945,f362])).
% 0.21/0.55  fof(f1947,plain,(
% 0.21/0.55    ~spl0_3|spl0_51),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f1946])).
% 0.21/0.55  fof(f2094,plain,(
% 0.21/0.55    ![X0]: (~subset(sk0_29,X0)|~finite(X0)|spl0_1)),
% 0.21/0.55    inference(resolution,[status(thm)],[f309,f353])).
% 0.21/0.55  fof(f2096,plain,(
% 0.21/0.55    ![X0,X1]: (quasi_total(first_projection(X0,X1),cartesian_product2(X0,X1),X0))),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f298,f130])).
% 0.21/0.55  fof(f2097,plain,(
% 0.21/0.55    ![X0,X1]: (relation_of2_as_subset(first_projection(X0,X1),cartesian_product2(X0,X1),X0))),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f298,f131])).
% 0.21/0.55  fof(f2107,plain,(
% 0.21/0.55    ![X0]: (sk0_13(X0)=empty_set)),
% 0.21/0.55    inference(resolution,[status(thm)],[f220,f341])).
% 0.21/0.55  fof(f2108,plain,(
% 0.21/0.55    ![X0]: (empty(relation_dom(sk0_13(X0))))),
% 0.21/0.55    inference(resolution,[status(thm)],[f220,f172])).
% 0.21/0.55  fof(f2112,plain,(
% 0.21/0.55    ![X0]: (relation_dom(sk0_13(X0))=empty_set)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2108,f341])).
% 0.21/0.55  fof(f2116,plain,(
% 0.21/0.55    spl0_52 <=> empty(sk0_13(X0))|~relation(sk0_13(X0))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2119,plain,(
% 0.21/0.55    ![X0]: (empty(sk0_13(X0))|~relation(sk0_13(X0))|~empty(empty_set))),
% 0.21/0.55    inference(paramodulation,[status(thm)],[f2112,f166])).
% 0.21/0.55  fof(f2120,plain,(
% 0.21/0.55    spl0_52|~spl0_2),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2119,f2116,f358])).
% 0.21/0.55  fof(f2121,plain,(
% 0.21/0.55    spl0_53 <=> ~empty(sk0_13(X0))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2122,plain,(
% 0.21/0.55    ![X0]: (~empty(sk0_13(X0))|~spl0_53)),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2121])).
% 0.21/0.55  fof(f2153,plain,(
% 0.21/0.55    empty(relation_rng(empty_set))),
% 0.21/0.55    inference(resolution,[status(thm)],[f176,f140])).
% 0.21/0.55  fof(f2156,plain,(
% 0.21/0.55    relation_rng(empty_set)=empty_set),
% 0.21/0.55    inference(resolution,[status(thm)],[f2153,f341])).
% 0.21/0.55  fof(f2179,plain,(
% 0.21/0.55    spl0_54 <=> function(empty_set)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2181,plain,(
% 0.21/0.55    ~function(empty_set)|spl0_54),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2179])).
% 0.21/0.55  fof(f2208,plain,(
% 0.21/0.55    spl0_61 <=> relation(sk0_29)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2210,plain,(
% 0.21/0.55    ~relation(sk0_29)|spl0_61),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2208])).
% 0.21/0.55  fof(f2211,plain,(
% 0.21/0.55    spl0_62 <=> finite(cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2213,plain,(
% 0.21/0.55    ~finite(cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)))|spl0_62),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2211])).
% 0.21/0.55  fof(f2214,plain,(
% 0.21/0.55    ~relation(sk0_29)|~finite(cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)))|spl0_1),
% 0.21/0.55    inference(resolution,[status(thm)],[f318,f2094])).
% 0.21/0.55  fof(f2215,plain,(
% 0.21/0.55    ~spl0_61|~spl0_62|spl0_1),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2214,f2208,f2211,f351])).
% 0.21/0.55  fof(f2216,plain,(
% 0.21/0.55    spl0_63 <=> subset(empty_set,cartesian_product2(empty_set,relation_rng(empty_set)))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2219,plain,(
% 0.21/0.55    ~relation(empty_set)|subset(empty_set,cartesian_product2(empty_set,relation_rng(empty_set)))),
% 0.21/0.55    inference(paramodulation,[status(thm)],[f716,f318])).
% 0.21/0.55  fof(f2220,plain,(
% 0.21/0.55    ~spl0_3|spl0_63),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2219,f361,f2216])).
% 0.21/0.55  fof(f2221,plain,(
% 0.21/0.55    spl0_64 <=> subset(empty_set,cartesian_product2(relation_dom(empty_set),empty_set))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2224,plain,(
% 0.21/0.55    ~relation(empty_set)|subset(empty_set,cartesian_product2(relation_dom(empty_set),empty_set))),
% 0.21/0.55    inference(paramodulation,[status(thm)],[f2156,f318])).
% 0.21/0.55  fof(f2225,plain,(
% 0.21/0.55    ~spl0_3|spl0_64),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2224,f361,f2221])).
% 0.21/0.55  fof(f2226,plain,(
% 0.21/0.55    $false|spl0_61),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2210,f324])).
% 0.21/0.55  fof(f2227,plain,(
% 0.21/0.55    spl0_61),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2226])).
% 0.21/0.55  fof(f2231,plain,(
% 0.21/0.55    ![X0]: (~finite(X0)|~element(relation_dom(sk0_29),powerset(X0))|spl0_0)),
% 0.21/0.55    inference(resolution,[status(thm)],[f350,f106])).
% 0.21/0.55  fof(f2247,plain,(
% 0.21/0.55    ![X0,X1,X2]: (~function(first_projection(X0,X1))|~relation_of2(first_projection(X0,X1),cartesian_product2(X0,X1),X0)|function_image(cartesian_product2(X0,X1),X0,first_projection(X0,X1),X2)=relation_image(first_projection(X0,X1),X2))),
% 0.21/0.55    inference(resolution,[status(thm)],[f297,f2096])).
% 0.21/0.55  fof(f2248,plain,(
% 0.21/0.55    ![X0,X1,X2]: (~relation_of2(first_projection(X0,X1),cartesian_product2(X0,X1),X0)|function_image(cartesian_product2(X0,X1),X0,first_projection(X0,X1),X2)=relation_image(first_projection(X0,X1),X2))),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2247,f127])).
% 0.21/0.55  fof(f2249,plain,(
% 0.21/0.55    ![X0]: (~relation(X0)|~function(X0)|function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection(relation_dom(X0),relation_rng(X0)),X0)=relation_dom(X0))),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f298,f306])).
% 0.21/0.55  fof(f2252,plain,(
% 0.21/0.55    spl0_67 <=> relation(sk0_28)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2254,plain,(
% 0.21/0.55    ~relation(sk0_28)|spl0_67),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2252])).
% 0.21/0.55  fof(f2255,plain,(
% 0.21/0.55    spl0_68 <=> function_image(cartesian_product2(relation_dom(sk0_28),relation_rng(sk0_28)),relation_dom(sk0_28),first_projection(relation_dom(sk0_28),relation_rng(sk0_28)),sk0_28)=relation_dom(sk0_28)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2258,plain,(
% 0.21/0.55    ~relation(sk0_28)|function_image(cartesian_product2(relation_dom(sk0_28),relation_rng(sk0_28)),relation_dom(sk0_28),first_projection(relation_dom(sk0_28),relation_rng(sk0_28)),sk0_28)=relation_dom(sk0_28)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f294])).
% 0.21/0.55  fof(f2259,plain,(
% 0.21/0.55    ~spl0_67|spl0_68),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2258,f2252,f2255])).
% 0.21/0.55  fof(f2260,plain,(
% 0.21/0.55    spl0_69 <=> relation(sk0_27)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2262,plain,(
% 0.21/0.55    ~relation(sk0_27)|spl0_69),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2260])).
% 0.21/0.55  fof(f2263,plain,(
% 0.21/0.55    spl0_70 <=> function_image(cartesian_product2(relation_dom(sk0_27),relation_rng(sk0_27)),relation_dom(sk0_27),first_projection(relation_dom(sk0_27),relation_rng(sk0_27)),sk0_27)=relation_dom(sk0_27)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2266,plain,(
% 0.21/0.55    ~relation(sk0_27)|function_image(cartesian_product2(relation_dom(sk0_27),relation_rng(sk0_27)),relation_dom(sk0_27),first_projection(relation_dom(sk0_27),relation_rng(sk0_27)),sk0_27)=relation_dom(sk0_27)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f289])).
% 0.21/0.55  fof(f2267,plain,(
% 0.21/0.55    ~spl0_69|spl0_70),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2266,f2260,f2263])).
% 0.21/0.55  fof(f2268,plain,(
% 0.21/0.55    spl0_71 <=> relation(sk0_26)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2270,plain,(
% 0.21/0.55    ~relation(sk0_26)|spl0_71),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2268])).
% 0.21/0.55  fof(f2271,plain,(
% 0.21/0.55    spl0_72 <=> function_image(cartesian_product2(relation_dom(sk0_26),relation_rng(sk0_26)),relation_dom(sk0_26),first_projection(relation_dom(sk0_26),relation_rng(sk0_26)),sk0_26)=relation_dom(sk0_26)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2274,plain,(
% 0.21/0.55    ~relation(sk0_26)|function_image(cartesian_product2(relation_dom(sk0_26),relation_rng(sk0_26)),relation_dom(sk0_26),first_projection(relation_dom(sk0_26),relation_rng(sk0_26)),sk0_26)=relation_dom(sk0_26)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f286])).
% 0.21/0.55  fof(f2275,plain,(
% 0.21/0.55    ~spl0_71|spl0_72),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2274,f2268,f2271])).
% 0.21/0.55  fof(f2276,plain,(
% 0.21/0.55    spl0_73 <=> relation(sk0_22)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2278,plain,(
% 0.21/0.55    ~relation(sk0_22)|spl0_73),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2276])).
% 0.21/0.55  fof(f2279,plain,(
% 0.21/0.55    spl0_74 <=> function_image(cartesian_product2(relation_dom(sk0_22),relation_rng(sk0_22)),relation_dom(sk0_22),first_projection(relation_dom(sk0_22),relation_rng(sk0_22)),sk0_22)=relation_dom(sk0_22)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2282,plain,(
% 0.21/0.55    ~relation(sk0_22)|function_image(cartesian_product2(relation_dom(sk0_22),relation_rng(sk0_22)),relation_dom(sk0_22),first_projection(relation_dom(sk0_22),relation_rng(sk0_22)),sk0_22)=relation_dom(sk0_22)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f268])).
% 0.21/0.55  fof(f2283,plain,(
% 0.21/0.55    ~spl0_73|spl0_74),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2282,f2276,f2279])).
% 0.21/0.55  fof(f2284,plain,(
% 0.21/0.55    spl0_75 <=> relation(sk0_16)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2286,plain,(
% 0.21/0.55    ~relation(sk0_16)|spl0_75),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2284])).
% 0.21/0.55  fof(f2287,plain,(
% 0.21/0.55    spl0_76 <=> function_image(cartesian_product2(relation_dom(sk0_16),relation_rng(sk0_16)),relation_dom(sk0_16),first_projection(relation_dom(sk0_16),relation_rng(sk0_16)),sk0_16)=relation_dom(sk0_16)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2290,plain,(
% 0.21/0.55    ~relation(sk0_16)|function_image(cartesian_product2(relation_dom(sk0_16),relation_rng(sk0_16)),relation_dom(sk0_16),first_projection(relation_dom(sk0_16),relation_rng(sk0_16)),sk0_16)=relation_dom(sk0_16)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f243])).
% 0.21/0.55  fof(f2291,plain,(
% 0.21/0.55    ~spl0_75|spl0_76),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2290,f2284,f2287])).
% 0.21/0.55  fof(f2292,plain,(
% 0.21/0.55    spl0_77 <=> relation(sk0_6)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2294,plain,(
% 0.21/0.55    ~relation(sk0_6)|spl0_77),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2292])).
% 0.21/0.55  fof(f2295,plain,(
% 0.21/0.55    spl0_78 <=> function_image(cartesian_product2(relation_dom(sk0_6),relation_rng(sk0_6)),relation_dom(sk0_6),first_projection(relation_dom(sk0_6),relation_rng(sk0_6)),sk0_6)=relation_dom(sk0_6)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2298,plain,(
% 0.21/0.55    ~relation(sk0_6)|function_image(cartesian_product2(relation_dom(sk0_6),relation_rng(sk0_6)),relation_dom(sk0_6),first_projection(relation_dom(sk0_6),relation_rng(sk0_6)),sk0_6)=relation_dom(sk0_6)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f193])).
% 0.21/0.55  fof(f2299,plain,(
% 0.21/0.55    ~spl0_77|spl0_78),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2298,f2292,f2295])).
% 0.21/0.55  fof(f2300,plain,(
% 0.21/0.55    spl0_79 <=> relation(sk0_5)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2302,plain,(
% 0.21/0.55    ~relation(sk0_5)|spl0_79),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2300])).
% 0.21/0.55  fof(f2303,plain,(
% 0.21/0.55    spl0_80 <=> function_image(cartesian_product2(relation_dom(sk0_5),relation_rng(sk0_5)),relation_dom(sk0_5),first_projection(relation_dom(sk0_5),relation_rng(sk0_5)),sk0_5)=relation_dom(sk0_5)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2306,plain,(
% 0.21/0.55    ~relation(sk0_5)|function_image(cartesian_product2(relation_dom(sk0_5),relation_rng(sk0_5)),relation_dom(sk0_5),first_projection(relation_dom(sk0_5),relation_rng(sk0_5)),sk0_5)=relation_dom(sk0_5)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f189])).
% 0.21/0.55  fof(f2307,plain,(
% 0.21/0.55    ~spl0_79|spl0_80),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2306,f2300,f2303])).
% 0.21/0.55  fof(f2308,plain,(
% 0.21/0.55    spl0_81 <=> function_image(cartesian_product2(relation_dom(empty_set),relation_rng(empty_set)),relation_dom(empty_set),first_projection(relation_dom(empty_set),relation_rng(empty_set)),empty_set)=relation_dom(empty_set)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2311,plain,(
% 0.21/0.55    ~relation(empty_set)|function_image(cartesian_product2(relation_dom(empty_set),relation_rng(empty_set)),relation_dom(empty_set),first_projection(relation_dom(empty_set),relation_rng(empty_set)),empty_set)=relation_dom(empty_set)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f151])).
% 0.21/0.55  fof(f2312,plain,(
% 0.21/0.55    ~spl0_3|spl0_81),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2311,f361,f2308])).
% 0.21/0.55  fof(f2313,plain,(
% 0.21/0.55    spl0_82 <=> function_image(cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29),first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),sk0_29)=relation_dom(sk0_29)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2314,plain,(
% 0.21/0.55    function_image(cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29),first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),sk0_29)=relation_dom(sk0_29)|~spl0_82),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2313])).
% 0.21/0.55  fof(f2316,plain,(
% 0.21/0.55    ~relation(sk0_29)|function_image(cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29),first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),sk0_29)=relation_dom(sk0_29)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2249,f325])).
% 0.21/0.55  fof(f2317,plain,(
% 0.21/0.55    ~spl0_61|spl0_82),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2316,f2208,f2313])).
% 0.21/0.55  fof(f2320,plain,(
% 0.21/0.55    $false|spl0_79),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2302,f188])).
% 0.21/0.55  fof(f2321,plain,(
% 0.21/0.55    spl0_79),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2320])).
% 0.21/0.55  fof(f2322,plain,(
% 0.21/0.55    $false|spl0_77),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2294,f192])).
% 0.21/0.55  fof(f2323,plain,(
% 0.21/0.55    spl0_77),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2322])).
% 0.21/0.55  fof(f2324,plain,(
% 0.21/0.55    $false|spl0_75),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2286,f242])).
% 0.21/0.55  fof(f2325,plain,(
% 0.21/0.55    spl0_75),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2324])).
% 0.21/0.55  fof(f2326,plain,(
% 0.21/0.55    $false|spl0_73),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2278,f267])).
% 0.21/0.55  fof(f2327,plain,(
% 0.21/0.55    spl0_73),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2326])).
% 0.21/0.55  fof(f2328,plain,(
% 0.21/0.55    $false|spl0_71),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2270,f284])).
% 0.21/0.55  fof(f2329,plain,(
% 0.21/0.55    spl0_71),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2328])).
% 0.21/0.55  fof(f2330,plain,(
% 0.21/0.55    $false|spl0_69),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2262,f288])).
% 0.21/0.55  fof(f2331,plain,(
% 0.21/0.55    spl0_69),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2330])).
% 0.21/0.55  fof(f2332,plain,(
% 0.21/0.55    $false|spl0_67),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2254,f292])).
% 0.21/0.55  fof(f2333,plain,(
% 0.21/0.55    spl0_67),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2332])).
% 0.21/0.55  fof(f2340,plain,(
% 0.21/0.55    spl0_83 <=> finite(relation_dom(empty_set))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2342,plain,(
% 0.21/0.55    ~finite(relation_dom(empty_set))|spl0_83),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2340])).
% 0.21/0.55  fof(f2343,plain,(
% 0.21/0.55    spl0_84 <=> finite(empty_set)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2346,plain,(
% 0.21/0.55    ~relation(empty_set)|~function(empty_set)|~finite(relation_dom(empty_set))|finite(empty_set)),
% 0.21/0.55    inference(paramodulation,[status(thm)],[f2156,f320])).
% 0.21/0.55  fof(f2347,plain,(
% 0.21/0.55    ~spl0_3|~spl0_54|~spl0_83|spl0_84),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2346,f361,f2179,f2340,f2343])).
% 0.21/0.55  fof(f2348,plain,(
% 0.21/0.55    ~finite(empty_set)|spl0_83),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f716,f2342])).
% 0.21/0.55  fof(f2349,plain,(
% 0.21/0.55    $false|spl0_83),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2348,f357])).
% 0.21/0.55  fof(f2350,plain,(
% 0.21/0.55    spl0_83),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2349])).
% 0.21/0.55  fof(f2351,plain,(
% 0.21/0.55    $false|spl0_54),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2181,f151])).
% 0.21/0.55  fof(f2352,plain,(
% 0.21/0.55    spl0_54),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2351])).
% 0.21/0.55  fof(f2374,plain,(
% 0.21/0.55    spl0_85 <=> finite(relation_rng(sk0_29))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2376,plain,(
% 0.21/0.55    ~finite(relation_rng(sk0_29))|spl0_85),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2374])).
% 0.21/0.55  fof(f2377,plain,(
% 0.21/0.55    ~finite(relation_dom(sk0_29))|~finite(relation_rng(sk0_29))|spl0_62),
% 0.21/0.55    inference(resolution,[status(thm)],[f2213,f146])).
% 0.21/0.55  fof(f2378,plain,(
% 0.21/0.55    ~spl0_0|~spl0_85|spl0_62),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2377,f348,f2374,f2211])).
% 0.21/0.55  fof(f2389,plain,(
% 0.21/0.55    ![X0,X1]: (~finite(X0)|~in(relation_dom(sk0_29),X1)|~element(X1,powerset(powerset(X0)))|spl0_0)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2231,f336])).
% 0.21/0.55  fof(f2404,plain,(
% 0.21/0.55    spl0_88 <=> function(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2406,plain,(
% 0.21/0.55    ~function(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)))|spl0_88),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2404])).
% 0.21/0.55  fof(f2407,plain,(
% 0.21/0.55    spl0_89 <=> quasi_total(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2409,plain,(
% 0.21/0.55    ~quasi_total(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))|spl0_89),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2407])).
% 0.21/0.55  fof(f2410,plain,(
% 0.21/0.55    spl0_90 <=> relation_of2(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2411,plain,(
% 0.21/0.55    relation_of2(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))|~spl0_90),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2410])).
% 0.21/0.55  fof(f2412,plain,(
% 0.21/0.55    ~relation_of2(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))|spl0_90),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2410])).
% 0.21/0.55  fof(f2413,plain,(
% 0.21/0.55    spl0_91 <=> element(relation_dom(sk0_29),powerset(relation_dom(sk0_29)))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2414,plain,(
% 0.21/0.55    element(relation_dom(sk0_29),powerset(relation_dom(sk0_29)))|~spl0_91),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2413])).
% 0.21/0.55  fof(f2416,plain,(
% 0.21/0.55    ~function(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)))|~quasi_total(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))|~relation_of2(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))|element(relation_dom(sk0_29),powerset(relation_dom(sk0_29)))|~spl0_82),
% 0.21/0.55    inference(paramodulation,[status(thm)],[f2314,f124])).
% 0.21/0.55  fof(f2417,plain,(
% 0.21/0.55    ~spl0_88|~spl0_89|~spl0_90|spl0_91|~spl0_82),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2416,f2404,f2407,f2410,f2413,f2313])).
% 0.21/0.55  fof(f2418,plain,(
% 0.21/0.55    $false|spl0_89),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2409,f2096])).
% 0.21/0.55  fof(f2419,plain,(
% 0.21/0.55    spl0_89),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2418])).
% 0.21/0.55  fof(f2420,plain,(
% 0.21/0.55    $false|spl0_88),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2406,f127])).
% 0.21/0.55  fof(f2421,plain,(
% 0.21/0.55    spl0_88),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2420])).
% 0.21/0.55  fof(f2422,plain,(
% 0.21/0.55    ![X0,X1]: (~finite(X0)|~element(X1,powerset(powerset(X0)))|~element(relation_dom(sk0_29),X1)|empty(X1)|spl0_0)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2389,f329])).
% 0.21/0.55  fof(f2433,plain,(
% 0.21/0.55    spl0_93 <=> function(sk0_29)),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2435,plain,(
% 0.21/0.55    ~function(sk0_29)|spl0_93),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2433])).
% 0.21/0.55  fof(f2436,plain,(
% 0.21/0.55    ~relation(sk0_29)|~function(sk0_29)|~finite(relation_dom(sk0_29))|spl0_85),
% 0.21/0.55    inference(resolution,[status(thm)],[f2376,f320])).
% 0.21/0.55  fof(f2437,plain,(
% 0.21/0.55    ~spl0_61|~spl0_93|~spl0_0|spl0_85),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2436,f2208,f2433,f348,f2374])).
% 0.21/0.55  fof(f2440,plain,(
% 0.21/0.55    $false|spl0_93),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2435,f325])).
% 0.21/0.55  fof(f2441,plain,(
% 0.21/0.55    spl0_93),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2440])).
% 0.21/0.55  fof(f2462,plain,(
% 0.21/0.55    ~empty(empty_set)|~spl0_53),
% 0.21/0.55    inference(forward_demodulation,[status(thm)],[f2107,f2122])).
% 0.21/0.55  fof(f2463,plain,(
% 0.21/0.55    $false|~spl0_53),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2462,f140])).
% 0.21/0.55  fof(f2464,plain,(
% 0.21/0.55    ~spl0_53),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2463])).
% 0.21/0.55  fof(f2465,plain,(
% 0.21/0.55    ~relation_of2_as_subset(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))|spl0_90),
% 0.21/0.55    inference(resolution,[status(thm)],[f2412,f301])).
% 0.21/0.55  fof(f2466,plain,(
% 0.21/0.55    $false|spl0_90),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2465,f2097])).
% 0.21/0.55  fof(f2467,plain,(
% 0.21/0.55    spl0_90),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2466])).
% 0.21/0.55  fof(f2469,plain,(
% 0.21/0.55    ![X0]: (function_image(cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29),first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),X0)=relation_image(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),X0)|~spl0_90)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2411,f2248])).
% 0.21/0.55  fof(f2519,plain,(
% 0.21/0.55    spl0_101 <=> ~finite(X0)|~element(powerset(relation_dom(sk0_29)),powerset(powerset(X0)))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2522,plain,(
% 0.21/0.55    spl0_102 <=> empty(powerset(relation_dom(sk0_29)))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2523,plain,(
% 0.21/0.55    empty(powerset(relation_dom(sk0_29)))|~spl0_102),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2522])).
% 0.21/0.55  fof(f2525,plain,(
% 0.21/0.55    ![X0]: (~finite(X0)|~element(powerset(relation_dom(sk0_29)),powerset(powerset(X0)))|empty(powerset(relation_dom(sk0_29)))|spl0_0|~spl0_91)),
% 0.21/0.55    inference(resolution,[status(thm)],[f2422,f2414])).
% 0.21/0.55  fof(f2526,plain,(
% 0.21/0.55    spl0_101|spl0_102|spl0_0|~spl0_91),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2525,f2519,f2522,f348,f2413])).
% 0.21/0.55  fof(f2532,plain,(
% 0.21/0.55    $false|~spl0_102),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2523,f147])).
% 0.21/0.55  fof(f2533,plain,(
% 0.21/0.55    ~spl0_102),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2532])).
% 0.21/0.55  fof(f2534,plain,(
% 0.21/0.55    relation_image(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),sk0_29)=relation_dom(sk0_29)|~spl0_90|~spl0_82),
% 0.21/0.55    inference(backward_demodulation,[status(thm)],[f2469,f2314])).
% 0.21/0.55  fof(f2535,plain,(
% 0.21/0.55    spl0_103 <=> element(relation_image(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),X0),powerset(relation_dom(sk0_29)))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2538,plain,(
% 0.21/0.55    ![X0]: (~function(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)))|~quasi_total(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))|~relation_of2(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),cartesian_product2(relation_dom(sk0_29),relation_rng(sk0_29)),relation_dom(sk0_29))|element(relation_image(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)),X0),powerset(relation_dom(sk0_29)))|~spl0_90)),
% 0.21/0.55    inference(paramodulation,[status(thm)],[f2469,f124])).
% 0.21/0.55  fof(f2539,plain,(
% 0.21/0.55    ~spl0_88|~spl0_89|~spl0_90|spl0_103),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2538,f2404,f2407,f2410,f2535])).
% 0.21/0.55  fof(f2540,plain,(
% 0.21/0.55    spl0_104 <=> relation(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)))),
% 0.21/0.55    introduced(split_symbol_definition)).
% 0.21/0.55  fof(f2542,plain,(
% 0.21/0.55    ~relation(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)))|spl0_104),
% 0.21/0.55    inference(component_clause,[status(thm)],[f2540])).
% 0.21/0.55  fof(f2543,plain,(
% 0.21/0.55    ~relation(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)))|~function(first_projection(relation_dom(sk0_29),relation_rng(sk0_29)))|~finite(sk0_29)|finite(relation_dom(sk0_29))|~spl0_90|~spl0_82),
% 0.21/0.55    inference(paramodulation,[status(thm)],[f2534,f144])).
% 0.21/0.55  fof(f2544,plain,(
% 0.21/0.55    ~spl0_104|~spl0_88|~spl0_1|spl0_0|~spl0_90|~spl0_82),
% 0.21/0.55    inference(split_clause,[status(thm)],[f2543,f2540,f2404,f351,f348,f2410,f2313])).
% 0.21/0.55  fof(f2545,plain,(
% 0.21/0.55    $false|spl0_104),
% 0.21/0.55    inference(forward_subsumption_resolution,[status(thm)],[f2542,f126])).
% 0.21/0.55  fof(f2546,plain,(
% 0.21/0.55    spl0_104),
% 0.21/0.55    inference(contradiction_clause,[status(thm)],[f2545])).
% 0.21/0.55  fof(f2547,plain,(
% 0.21/0.55    $false),
% 0.21/0.55    inference(sat_refutation,[status(thm)],[f354,f355,f365,f370,f378,f383,f391,f396,f404,f409,f417,f422,f430,f440,f445,f448,f456,f461,f469,f474,f482,f487,f495,f500,f508,f518,f523,f526,f534,f539,f547,f552,f560,f565,f573,f578,f586,f591,f599,f604,f612,f617,f625,f630,f638,f643,f651,f661,f666,f674,f1830,f1947,f2120,f2215,f2220,f2225,f2227,f2259,f2267,f2275,f2283,f2291,f2299,f2307,f2312,f2317,f2321,f2323,f2325,f2327,f2329,f2331,f2333,f2347,f2350,f2352,f2378,f2417,f2419,f2421,f2437,f2441,f2464,f2467,f2526,f2533,f2539,f2544,f2546])).
% 0.21/0.55  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.56  % Elapsed time: 0.202568 seconds
% 0.21/0.56  % CPU time: 1.491838 seconds
% 0.21/0.56  % Total memory used: 90.788 MB
% 0.21/0.56  % Net memory used: 88.560 MB
%------------------------------------------------------------------------------