%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU339+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:20:13 PM UTC 2026
% Result : Theorem 0.07s 0.60s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 49
% Syntax : Number of formulae : 214 ( 33 unt; 32 def)
% Number of atoms : 558 ( 25 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 596 ( 252 ~; 239 |; 45 &)
% ( 39 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 33 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 176 ( 167 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
=> relation(C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] :
( relation(A)
=> ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( ( in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),A)
& in(D,B)
& in(C,B) )
=> C = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( rel_str(A)
=> ( antisymmetric_relstr(A)
<=> is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( related(A,B,C)
<=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> element(C,powerset(cartesian_product2(A,B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A] :
( rel_str(A)
=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A] :
? [B] : element(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A] : ~ empty(powerset(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
? [A] : empty(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( in(B,D)
& in(A,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,conjecture,
! [A] :
( ( rel_str(A)
& antisymmetric_relstr(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( ( related(A,C,B)
& related(A,B,C) )
=> B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
~ ! [A] :
( ( rel_str(A)
& antisymmetric_relstr(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( ( related(A,C,B)
& related(A,B,C) )
=> B = C ) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,axiom,
! [A,B] :
( element(A,B)
=> ( in(A,B)
| empty(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [A,B,C] :
( ( element(B,powerset(C))
& in(A,B) )
=> element(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A,B,C] :
~ ( empty(C)
& element(B,powerset(C))
& in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A,B] :
~ ( empty(B)
& in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f49,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [A,B,C] :
( relation(C)
| ~ element(C,powerset(cartesian_product2(A,B))) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
! [C] :
( relation(C)
| ! [A,B] : ~ element(C,powerset(cartesian_product2(A,B))) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f54,plain,
! [A] :
( ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) ) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f55,plain,
! [A] :
( ! [B] :
( ( ? [C,D] :
( C != D
& in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),A)
& in(D,B)
& in(C,B) )
| is_antisymmetric_in(A,B) )
& ( ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) )
| ~ is_antisymmetric_in(A,B) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [A] :
( ( ! [B] :
( ? [C,D] :
( C != D
& in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),A)
& in(D,B)
& in(C,B) )
| is_antisymmetric_in(A,B) )
& ! [B] :
( ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) )
| ~ is_antisymmetric_in(A,B) ) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f57,plain,
! [A] :
( ( ! [B] :
( ( sK0_skl(B,A) != sK1_skl(B,A)
& in(ordered_pair(sK1_skl(B,A),sK0_skl(B,A)),A)
& in(ordered_pair(sK0_skl(B,A),sK1_skl(B,A)),A)
& in(sK1_skl(B,A),B)
& in(sK0_skl(B,A),B) )
| is_antisymmetric_in(A,B) )
& ! [B] :
( ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) )
| ~ is_antisymmetric_in(A,B) ) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(C,sK0_skl(B,A)),skolemize(D,sK1_skl(B,A))],[f56]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f65,plain,
! [A] :
( ( antisymmetric_relstr(A)
<=> is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) )
| ~ rel_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f66,plain,
! [A] :
( ( ( ~ is_antisymmetric_in(the_InternalRel(A),the_carrier(A))
| antisymmetric_relstr(A) )
& ( is_antisymmetric_in(the_InternalRel(A),the_carrier(A))
| ~ antisymmetric_relstr(A) ) )
| ~ rel_str(A) ),
inference(NNF_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0] :
( is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f69,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( related(A,B,C)
<=> in(ordered_pair(B,C),the_InternalRel(A)) )
| ~ element(C,the_carrier(A)) )
| ~ element(B,the_carrier(A)) )
| ~ rel_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f70,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ~ in(ordered_pair(B,C),the_InternalRel(A))
| related(A,B,C) )
& ( in(ordered_pair(B,C),the_InternalRel(A))
| ~ related(A,B,C) ) )
| ~ element(C,the_carrier(A)) )
| ~ element(B,the_carrier(A)) )
| ~ rel_str(A) ),
inference(NNF_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f75,plain,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
| ~ relation_of2_as_subset(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f76,plain,
! [X0,X1,X2] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [A] :
( relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))
| ~ rel_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f78,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f85,plain,
! [A] : element(sK5_skl(A),A),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(B,sK5_skl(A))],[f24]) ).
fof(f86,plain,
! [X0] : element(sK5_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f89,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f99,plain,
empty(sK8_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f32]) ).
fof(f100,plain,
empty(sK8_skl),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f112,plain,
! [A,B,C,D] :
( ( ~ in(B,D)
| ~ in(A,C)
| in(ordered_pair(A,B),cartesian_product2(C,D)) )
& ( ( in(B,D)
& in(A,C) )
| ~ in(ordered_pair(A,B),cartesian_product2(C,D)) ) ),
inference(NNF_transformation,[status(thm)],[f37]) ).
fof(f113,plain,
( ! [A,B,C,D] :
( ~ in(B,D)
| ~ in(A,C)
| in(ordered_pair(A,B),cartesian_product2(C,D)) )
& ! [A,B,C,D] :
( ( in(B,D)
& in(A,C) )
| ~ in(ordered_pair(A,B),cartesian_product2(C,D)) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f119,plain,
? [A] :
( ? [B] :
( ? [C] :
( B != C
& related(A,C,B)
& related(A,B,C)
& element(C,the_carrier(A)) )
& element(B,the_carrier(A)) )
& rel_str(A)
& antisymmetric_relstr(A) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f120,plain,
( sK12_skl != sK13_skl
& related(sK11_skl,sK13_skl,sK12_skl)
& related(sK11_skl,sK12_skl,sK13_skl)
& element(sK13_skl,the_carrier(sK11_skl))
& element(sK12_skl,the_carrier(sK11_skl))
& rel_str(sK11_skl)
& antisymmetric_relstr(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(A,sK11_skl),skolemize(B,sK12_skl),skolemize(C,sK13_skl)],[f119]) ).
fof(f121,plain,
antisymmetric_relstr(sK11_skl),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
rel_str(sK11_skl),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f123,plain,
element(sK12_skl,the_carrier(sK11_skl)),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f124,plain,
element(sK13_skl,the_carrier(sK11_skl)),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f125,plain,
related(sK11_skl,sK12_skl,sK13_skl),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f126,plain,
related(sK11_skl,sK13_skl,sK12_skl),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f127,plain,
sK12_skl != sK13_skl,
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f128,plain,
! [A,B] :
( in(A,B)
| empty(B)
| ~ element(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f129,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f134,plain,
! [A,B,C] :
( element(A,C)
| ~ element(B,powerset(C))
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f135,plain,
! [A,C] :
( element(A,C)
| ! [B] :
( ~ element(B,powerset(C))
| ~ in(A,B) ) ),
inference(miniscoping,[status(thm)],[f134]) ).
fof(f136,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
! [A,B,C] :
( ~ empty(C)
| ~ element(B,powerset(C))
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f138,plain,
! [C] :
( ~ empty(C)
| ! [B] :
( ~ element(B,powerset(C))
| ! [A] : ~ in(A,B) ) ),
inference(miniscoping,[status(thm)],[f137]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
! [A] :
( A = empty_set
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f141,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f143,plain,
! [B] :
( ~ empty(B)
| ! [A] : ~ in(A,B) ),
inference(miniscoping,[status(thm)],[f142]) ).
fof(f144,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f148,plain,
( in(sK13_skl,the_carrier(sK11_skl))
| empty(the_carrier(sK11_skl)) ),
inference(resolution,[status(thm)],[f129,f124]) ).
fof(f149,plain,
( in(sK12_skl,the_carrier(sK11_skl))
| empty(the_carrier(sK11_skl)) ),
inference(resolution,[status(thm)],[f129,f123]) ).
fof(f150,definition,
( sQ0_spl
<=> empty(the_carrier(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ0_spl
| empty(the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ1_spl
<=> in(sK13_skl,the_carrier(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f148,f150,f153]) ).
fof(f157,definition,
( sQ2_spl
<=> in(sK12_skl,the_carrier(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f149,f150,f157]) ).
fof(f161,plain,
( is_antisymmetric_in(the_InternalRel(sK11_skl),the_carrier(sK11_skl))
| ~ antisymmetric_relstr(sK11_skl) ),
inference(resolution,[status(thm)],[f67,f122]) ).
fof(f162,definition,
( sQ3_spl
<=> antisymmetric_relstr(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( sQ3_spl
| ~ antisymmetric_relstr(sK11_skl) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ4_spl
<=> is_antisymmetric_in(the_InternalRel(sK11_skl),the_carrier(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ4_spl
| is_antisymmetric_in(the_InternalRel(sK11_skl),the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f161,f162,f165]) ).
fof(f169,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f121]) ).
fof(f170,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ5_spl
<=> rel_str(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ5_spl
| ~ rel_str(sK11_skl) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f176,plain,
! [X0] :
( in(ordered_pair(sK13_skl,X0),the_InternalRel(sK11_skl))
| ~ related(sK11_skl,sK13_skl,X0)
| ~ element(X0,the_carrier(sK11_skl))
| ~ rel_str(sK11_skl) ),
inference(resolution,[status(thm)],[f71,f124]) ).
fof(f177,plain,
! [X0] :
( in(ordered_pair(sK12_skl,X0),the_InternalRel(sK11_skl))
| ~ related(sK11_skl,sK12_skl,X0)
| ~ element(X0,the_carrier(sK11_skl))
| ~ rel_str(sK11_skl) ),
inference(resolution,[status(thm)],[f71,f123]) ).
fof(f178,definition,
! [X0] :
( sQ6_spl
<=> ( in(ordered_pair(sK13_skl,X0),the_InternalRel(sK11_skl))
| ~ related(sK11_skl,sK13_skl,X0)
| ~ element(X0,the_carrier(sK11_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f179,plain,
! [X0] :
( ~ sQ6_spl
| in(ordered_pair(sK13_skl,X0),the_InternalRel(sK11_skl))
| ~ related(sK11_skl,sK13_skl,X0)
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f176,f172,f178]) ).
fof(f182,definition,
! [X0] :
( sQ7_spl
<=> ( in(ordered_pair(sK12_skl,X0),the_InternalRel(sK11_skl))
| ~ related(sK11_skl,sK12_skl,X0)
| ~ element(X0,the_carrier(sK11_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f183,plain,
! [X0] :
( ~ sQ7_spl
| in(ordered_pair(sK12_skl,X0),the_InternalRel(sK11_skl))
| ~ related(sK11_skl,sK12_skl,X0)
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f177,f172,f182]) ).
fof(f186,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f174,f122]) ).
fof(f187,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( ~ sQ6_spl
| in(ordered_pair(sK13_skl,sK12_skl),the_InternalRel(sK11_skl))
| ~ related(sK11_skl,sK13_skl,sK12_skl) ),
inference(resolution,[status(thm)],[f179,f123]) ).
fof(f197,definition,
( sQ10_spl
<=> related(sK11_skl,sK13_skl,sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ10_spl
| ~ related(sK11_skl,sK13_skl,sK12_skl) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ11_spl
<=> in(ordered_pair(sK13_skl,sK12_skl),the_InternalRel(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ11_spl
| in(ordered_pair(sK13_skl,sK12_skl),the_InternalRel(sK11_skl)) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( ~ sQ6_spl
| sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f189,f197,f200,f178]) ).
fof(f204,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f126]) ).
fof(f205,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( ~ sQ7_spl
| in(ordered_pair(sK12_skl,sK13_skl),the_InternalRel(sK11_skl))
| ~ related(sK11_skl,sK12_skl,sK13_skl) ),
inference(resolution,[status(thm)],[f183,f124]) ).
fof(f208,definition,
( sQ12_spl
<=> related(sK11_skl,sK12_skl,sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ12_spl
| ~ related(sK11_skl,sK12_skl,sK13_skl) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ13_spl
<=> in(ordered_pair(sK12_skl,sK13_skl),the_InternalRel(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ13_spl
| in(ordered_pair(sK12_skl,sK13_skl),the_InternalRel(sK11_skl)) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( ~ sQ7_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f206,f208,f211,f182]) ).
fof(f222,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f125]) ).
fof(f223,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f222]) ).
fof(f237,plain,
! [X0] :
( in(sK5_skl(X0),X0)
| empty(X0) ),
inference(resolution,[status(thm)],[f86,f129]) ).
fof(f262,definition,
( sQ22_spl
<=> element(sK13_skl,the_carrier(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( sQ22_spl
| ~ element(sK13_skl,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ23_spl
<=> element(sK12_skl,the_carrier(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( sQ23_spl
| ~ element(sK12_skl,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f273,plain,
! [X0] :
( ~ in(X0,sK5_skl(X0))
| empty(X0) ),
inference(resolution,[status(thm)],[f237,f49]) ).
fof(f276,definition,
( sQ24_spl
<=> empty(the_InternalRel(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ24_spl
| empty(the_InternalRel(sK11_skl)) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f283,plain,
sK8_skl = empty_set,
inference(resolution,[status(thm)],[f141,f100]) ).
fof(f285,plain,
( ~ sQ0_spl
| the_carrier(sK11_skl) = empty_set ),
inference(resolution,[status(thm)],[f141,f151]) ).
fof(f290,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| is_antisymmetric_in(the_InternalRel(sK11_skl),empty_set) ),
inference(backward_demodulation,[status(thm)],[f285,f166]) ).
fof(f292,plain,
( ~ sQ0_spl
| element(sK13_skl,empty_set) ),
inference(backward_demodulation,[status(thm)],[f285,f124]) ).
fof(f293,plain,
( ~ sQ0_spl
| element(sK12_skl,empty_set) ),
inference(backward_demodulation,[status(thm)],[f285,f123]) ).
fof(f328,plain,
! [X0] :
( X0 = sK8_skl
| ~ empty(X0) ),
inference(backward_demodulation,[status(thm)],[f283,f141]) ).
fof(f334,plain,
( ~ sQ13_spl
| ~ empty(the_InternalRel(sK11_skl)) ),
inference(resolution,[status(thm)],[f144,f212]) ).
fof(f347,plain,
! [X0] :
( ~ sQ13_spl
| sK13_skl = sK12_skl
| ~ in(ordered_pair(sK13_skl,sK12_skl),the_InternalRel(sK11_skl))
| ~ in(sK12_skl,X0)
| ~ in(sK13_skl,X0)
| ~ is_antisymmetric_in(the_InternalRel(sK11_skl),X0)
| ~ relation(the_InternalRel(sK11_skl)) ),
inference(resolution,[status(thm)],[f58,f212]) ).
fof(f349,definition,
( sQ30_spl
<=> relation(the_InternalRel(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( sQ30_spl
| ~ relation(the_InternalRel(sK11_skl)) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
! [X0] :
( sQ31_spl
<=> ( ~ in(sK12_skl,X0)
| ~ in(sK13_skl,X0)
| ~ is_antisymmetric_in(the_InternalRel(sK11_skl),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f353,plain,
! [X0] :
( ~ sQ31_spl
| ~ in(sK12_skl,X0)
| ~ in(sK13_skl,X0)
| ~ is_antisymmetric_in(the_InternalRel(sK11_skl),X0) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ32_spl
<=> sK13_skl = sK12_skl ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ32_spl
| sK13_skl = sK12_skl ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( ~ sQ13_spl
| sQ32_spl
| ~ sQ11_spl
| sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f347,f349,f352,f200,f355,f211]) ).
fof(f360,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f264,f124]) ).
fof(f361,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f123]) ).
fof(f363,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f362]) ).
fof(f364,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f127]) ).
fof(f365,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f364]) ).
fof(f430,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,sK5_skl(powerset(X1))) ),
inference(resolution,[status(thm)],[f139,f86]) ).
fof(f432,definition,
! [X0] :
( sQ33_spl
<=> ~ in(X0,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f433,plain,
! [X0] :
( ~ sQ33_spl
| ~ in(X0,sK8_skl) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f443,plain,
relation_of2_as_subset(the_InternalRel(sK11_skl),the_carrier(sK11_skl),the_carrier(sK11_skl)),
inference(resolution,[status(thm)],[f78,f122]) ).
fof(f444,plain,
element(the_InternalRel(sK11_skl),powerset(cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))),
inference(resolution,[status(thm)],[f443,f76]) ).
fof(f447,plain,
relation(the_InternalRel(sK11_skl)),
inference(resolution,[status(thm)],[f444,f52]) ).
fof(f448,plain,
! [X0] :
( ~ empty(cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))
| ~ in(X0,the_InternalRel(sK11_skl)) ),
inference(resolution,[status(thm)],[f444,f139]) ).
fof(f450,plain,
( in(the_InternalRel(sK11_skl),powerset(cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl))))
| empty(powerset(cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))) ),
inference(resolution,[status(thm)],[f444,f129]) ).
fof(f451,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f351]) ).
fof(f452,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f451]) ).
fof(f453,definition,
! [X0] :
( sQ35_spl
<=> ~ in(X0,the_InternalRel(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f454,plain,
! [X0] :
( ~ sQ35_spl
| ~ in(X0,the_InternalRel(sK11_skl)) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ36_spl
<=> empty(cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f448,f453,f456]) ).
fof(f460,definition,
( sQ37_spl
<=> empty(powerset(cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ37_spl
| empty(powerset(cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ38_spl
<=> in(the_InternalRel(sK11_skl),powerset(cartesian_product2(the_carrier(sK11_skl),the_carrier(sK11_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f450,f460,f463]) ).
fof(f467,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f461,f89]) ).
fof(f468,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f467]) ).
fof(f476,plain,
( ~ sQ13_spl
| ~ sQ35_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f212,f454]) ).
fof(f479,plain,
( ~ sQ13_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f476]) ).
fof(f494,plain,
( ~ sQ4_spl
| ~ sQ31_spl
| ~ in(sK12_skl,the_carrier(sK11_skl))
| ~ in(sK13_skl,the_carrier(sK11_skl)) ),
inference(resolution,[status(thm)],[f353,f166]) ).
fof(f495,plain,
( ~ sQ4_spl
| ~ sQ31_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f494,f153,f157,f352,f165]) ).
fof(f504,plain,
( ~ sQ0_spl
| the_carrier(sK11_skl) = sK8_skl ),
inference(forward_demodulation,[status(thm)],[f283,f285]) ).
fof(f509,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| is_antisymmetric_in(the_InternalRel(sK11_skl),sK8_skl) ),
inference(forward_demodulation,[status(thm)],[f283,f290]) ).
fof(f510,plain,
( ~ sQ0_spl
| element(sK12_skl,sK8_skl) ),
inference(forward_demodulation,[status(thm)],[f283,f293]) ).
fof(f511,plain,
( ~ sQ0_spl
| element(sK13_skl,sK8_skl) ),
inference(forward_demodulation,[status(thm)],[f283,f292]) ).
fof(f514,plain,
( ~ sQ0_spl
| element(the_InternalRel(sK11_skl),powerset(cartesian_product2(the_carrier(sK11_skl),sK8_skl))) ),
inference(backward_demodulation,[status(thm)],[f504,f444]) ).
fof(f527,plain,
( ~ sQ0_spl
| element(the_InternalRel(sK11_skl),powerset(cartesian_product2(sK8_skl,sK8_skl))) ),
inference(forward_demodulation,[status(thm)],[f504,f514]) ).
fof(f545,plain,
( ~ sQ0_spl
| in(sK12_skl,sK8_skl)
| empty(sK8_skl) ),
inference(resolution,[status(thm)],[f510,f129]) ).
fof(f546,definition,
( sQ42_spl
<=> empty(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f549,definition,
( sQ43_spl
<=> in(sK12_skl,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ0_spl
| sQ43_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f545,f546,f549,f150]) ).
fof(f553,plain,
( ~ sQ0_spl
| in(sK13_skl,sK8_skl)
| empty(sK8_skl) ),
inference(resolution,[status(thm)],[f511,f129]) ).
fof(f554,definition,
( sQ44_spl
<=> in(sK13_skl,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ0_spl
| sQ44_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f553,f546,f554,f150]) ).
fof(f570,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ in(sK12_skl,sK8_skl)
| ~ in(sK13_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f509,f353]) ).
fof(f571,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ43_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f570,f554,f549,f150,f165,f352]) ).
fof(f576,plain,
! [X0] :
( empty(sK5_skl(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[status(thm)],[f430,f237]) ).
fof(f577,plain,
empty(sK5_skl(powerset(sK8_skl))),
inference(resolution,[status(thm)],[f576,f100]) ).
fof(f580,plain,
sK5_skl(powerset(sK8_skl)) = sK8_skl,
inference(resolution,[status(thm)],[f577,f328]) ).
fof(f582,plain,
! [X0] :
( ~ empty(sK8_skl)
| ~ in(X0,sK8_skl) ),
inference(paramodulation,[status(thm)],[f580,f430]) ).
fof(f584,plain,
( ~ in(powerset(sK8_skl),sK8_skl)
| empty(powerset(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f580,f273]) ).
fof(f585,plain,
( in(sK8_skl,powerset(sK8_skl))
| empty(powerset(sK8_skl)) ),
inference(paramodulation,[status(thm)],[f580,f237]) ).
fof(f587,plain,
( ~ sQ42_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f582,f432,f546]) ).
fof(f588,definition,
( sQ47_spl
<=> empty(powerset(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ47_spl
| empty(powerset(sK8_skl)) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,definition,
( sQ48_spl
<=> in(powerset(sK8_skl),sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ48_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f584,f588,f591]) ).
fof(f595,definition,
( sQ49_spl
<=> in(sK8_skl,powerset(sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( sQ49_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f585,f588,f595]) ).
fof(f599,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f89]) ).
fof(f600,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f599]) ).
fof(f609,plain,
! [X0] :
( ~ sQ0_spl
| ~ empty(cartesian_product2(sK8_skl,sK8_skl))
| ~ in(X0,the_InternalRel(sK11_skl)) ),
inference(resolution,[status(thm)],[f527,f139]) ).
fof(f612,definition,
( sQ50_spl
<=> empty(cartesian_product2(sK8_skl,sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ0_spl
| ~ sQ50_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f609,f453,f612,f150]) ).
fof(f616,definition,
( sQ51_spl
<=> empty(powerset(cartesian_product2(sK8_skl,sK8_skl))) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ51_spl
| empty(powerset(cartesian_product2(sK8_skl,sK8_skl))) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f623,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f89]) ).
fof(f624,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f623]) ).
fof(f720,plain,
! [X0] :
( ~ sQ0_spl
| element(X0,cartesian_product2(sK8_skl,sK8_skl))
| ~ in(X0,the_InternalRel(sK11_skl)) ),
inference(resolution,[status(thm)],[f136,f527]) ).
fof(f737,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| element(ordered_pair(sK13_skl,sK12_skl),cartesian_product2(sK8_skl,sK8_skl)) ),
inference(resolution,[status(thm)],[f720,f201]) ).
fof(f755,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| in(ordered_pair(sK13_skl,sK12_skl),cartesian_product2(sK8_skl,sK8_skl))
| empty(cartesian_product2(sK8_skl,sK8_skl)) ),
inference(resolution,[status(thm)],[f737,f129]) ).
fof(f756,definition,
( sQ57_spl
<=> in(ordered_pair(sK13_skl,sK12_skl),cartesian_product2(sK8_skl,sK8_skl)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ57_spl
| in(ordered_pair(sK13_skl,sK12_skl),cartesian_product2(sK8_skl,sK8_skl)) ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| sQ57_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f755,f612,f756,f150,f200]) ).
fof(f770,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f334]) ).
fof(f771,plain,
( ~ sQ24_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f770]) ).
fof(f786,plain,
( ~ sQ57_spl
| in(sK12_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f757,f115]) ).
fof(f795,plain,
( ~ sQ57_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f786,f433]) ).
fof(f796,plain,
( ~ sQ57_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f797,plain,
$false,
inference(sat_refutation,[status(thm)],[f156,f160,f168,f170,f181,f185,f187,f203,f205,f214,f223,f358,f361,f363,f365,f452,f459,f466,f468,f479,f495,f552,f557,f571,f587,f594,f598,f600,f615,f624,f759,f771,f796]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU339+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.51 % Computer : n019.cluster.edu
% 0.07/0.51 % Model : x86_64 x86_64
% 0.07/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.51 % Memory : 8046.5625MB
% 0.07/0.51 % OS : Linux 6.8.0-71-generic
% 0.07/0.51 % CPULimit : 300
% 0.07/0.51 % WCLimit : 300
% 0.07/0.51 % DateTime : Mon Sep 21 06:13:21 UTC 2026
% 0.07/0.51 % CPUTime :
% 0.07/0.52 % Drodi V4.1.1
% 0.07/0.60 % Refutation found
% 0.07/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.64 % Elapsed time: 0.112118 seconds
% 0.07/0.64 % CPU time: 0.597918 seconds
% 0.07/0.64 % Total memory used: 114.378 MB
% 0.07/0.64 % Net memory used: 113.349 MB
%------------------------------------------------------------------------------