%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU339+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 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 : Fri Sep 25 02:56:58 PM UTC 2026
% Result : Theorem 2.19s 1.18s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 168 ( 54 unt; 9 def)
% Number of atoms : 571 ( 59 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 556 ( 245 ~; 230 |; 53 &)
% ( 9 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 10 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 279 ( 0 sgn 268 !; 11 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_2) ).
fof(f5,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ( antisymmetric_relstr(X0)
<=> is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_orders_2) ).
fof(f7,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f18,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f19,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f24,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f35,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f39,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X2,X1)
& related(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X2,X1)
& related(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f44,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f47,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f54,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X2 = X3 ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f55,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X2 = X3 ) ) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ~ rel_str(X0)
| ( antisymmetric_relstr(X0)
<=> is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f57,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X1)
| element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f59,plain,
! [X0] :
( ~ rel_str(X0)
| relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f64,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& related(X0,X2,X1)
& related(X0,X1,X2)
& X1 != X2 ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f65,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& related(X0,X2,X1)
& related(X0,X1,X2)
& X1 != X2 ) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f67,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(flattening,[],[f66]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f74,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f75,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ~ is_antisymmetric_in(X0,X1)
| ! [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| X2 = X3 ) )
& ( ? [X2,X3] :
( in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1)
& X2 != X3 )
| is_antisymmetric_in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f76,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ~ is_antisymmetric_in(X0,X1)
| ! [X4,X5] :
( ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| X4 = X5 ) )
& ( ? [X2,X3] :
( in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1)
& X2 != X3 )
| is_antisymmetric_in(X0,X1) ) ) ),
inference(rectify,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ~ is_antisymmetric_in(X0,X1)
| ! [X4,X5] :
( ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| X4 = X5 ) )
& ( ( in(ordered_pair(sK1(X0,X1),sK0(X0,X1)),X0)
& in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
& in(sK1(X0,X1),X1)
& in(sK0(X0,X1),X1)
& sK0(X0,X1) != sK1(X0,X1) )
| is_antisymmetric_in(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f76]) ).
fof(f78,plain,
! [X0] :
( ~ rel_str(X0)
| ( ( ~ antisymmetric_relstr(X0)
| is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) )
& ( ~ is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
| antisymmetric_relstr(X0) ) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f79,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( ~ related(X0,X1,X2)
| in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| related(X0,X1,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f82,plain,
! [X0] : element(sK4(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f24]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) )
& ( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ( in(X1,X3)
& in(X0,X2) ) )
& ( ~ in(X1,X3)
| ~ in(X0,X2)
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ( in(X1,X3)
& in(X0,X2) ) )
& ( ~ in(X1,X3)
| ~ in(X0,X2)
| in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
( rel_str(sK10)
& antisymmetric_relstr(sK10)
& element(sK11,the_carrier(sK10))
& element(sK12,the_carrier(sK10))
& related(sK10,sK12,sK11)
& related(sK10,sK11,sK12)
& sK11 != sK12 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12)],[f65]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f94,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
! [X0,X1,X4,X5] :
( ~ relation(X0)
| ~ is_antisymmetric_in(X0,X1)
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| X4 = X5 ),
inference(cnf_transformation,[],[f77]) ).
fof(f101,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
! [X0] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ related(X0,X1,X2)
| in(ordered_pair(X1,X2),the_InternalRel(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f107,plain,
! [X0] :
( ~ rel_str(X0)
| relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f110,plain,
! [X0] : element(sK4(X0),X0),
inference(cnf_transformation,[],[f82]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f130,plain,
rel_str(sK10),
inference(cnf_transformation,[],[f91]) ).
fof(f131,plain,
antisymmetric_relstr(sK10),
inference(cnf_transformation,[],[f91]) ).
fof(f132,plain,
element(sK11,the_carrier(sK10)),
inference(cnf_transformation,[],[f91]) ).
fof(f133,plain,
element(sK12,the_carrier(sK10)),
inference(cnf_transformation,[],[f91]) ).
fof(f134,plain,
related(sK10,sK12,sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f135,plain,
related(sK10,sK11,sK12),
inference(cnf_transformation,[],[f91]) ).
fof(f136,plain,
sK11 != sK12,
inference(cnf_transformation,[],[f91]) ).
fof(f137,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f143,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f146,plain,
! [X0,X1,X4,X5] :
( ~ relation(X0)
| ~ is_antisymmetric_in(X0,X1)
| ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X0)
| ~ in(X5,X1)
| ~ in(X4,X1)
| X4 = X5 ),
inference(definition_unfolding,[],[f95,f101,f101]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ related(X0,X1,X2)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X0)) ),
inference(definition_unfolding,[],[f104,f101]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(definition_unfolding,[],[f127,f101]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f94]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ relation(X2)
| ~ is_antisymmetric_in(X2,X3)
| ~ in(X1,X3)
| ~ in(X0,X3)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X1)),X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_59,plain,
! [X0: $i] :
( is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X0))
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ related(X0,X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_63,plain,
! [X0: $i] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_66,plain,
! [X0: $i] : element(sK4(X0),X0),
inference(cnf_transformation,[],[f110]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(X0,X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_86,negated_conjecture,
sK11 != sK12,
inference(cnf_transformation,[],[f136]) ).
tcf(c_87,negated_conjecture,
related(sK10,sK11,sK12),
inference(cnf_transformation,[],[f135]) ).
tcf(c_88,negated_conjecture,
related(sK10,sK12,sK11),
inference(cnf_transformation,[],[f134]) ).
tcf(c_89,negated_conjecture,
element(sK12,the_carrier(sK10)),
inference(cnf_transformation,[],[f133]) ).
tcf(c_90,negated_conjecture,
element(sK11,the_carrier(sK10)),
inference(cnf_transformation,[],[f132]) ).
tcf(c_91,negated_conjecture,
antisymmetric_relstr(sK10),
inference(cnf_transformation,[],[f131]) ).
tcf(c_92,negated_conjecture,
rel_str(sK10),
inference(cnf_transformation,[],[f130]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X2,X1)
| ~ in(X2,X0)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ empty(X1)
| ~ in(X2,X0)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ empty(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_125,plain,
( is_antisymmetric_in(the_InternalRel(sK10),the_carrier(sK10))
| ~ rel_str(sK10)
| ~ antisymmetric_relstr(sK10) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_134]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ relation_of2(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_79,c_62]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_148]) ).
tcf(c_154,plain,
! [X0: $i] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(X0,X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3)) ),
inference(prop_impl_just,[status(thm)],[c_83]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(X0,X2)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3)) ),
inference(demodulation,[status(thm)],[c_166,c_51]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),the_InternalRel(X0))
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ related(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_61,c_51]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ relation(X2)
| ~ is_antisymmetric_in(X2,X3)
| ~ in(X1,X3)
| ~ in(X0,X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),X2)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) ),
inference(demodulation,[status(thm)],[c_57,c_51]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( relation_of2(X1,X2,X3)
| ~ rel_str(X0)
| ( the_carrier(X0) != X3 )
| ( the_carrier(X0) != X2 )
| ( the_InternalRel(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_135,c_154]) ).
tcf(c_714,plain,
! [X0: $i] :
( relation_of2(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(unflattening,[status(thm)],[c_713]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ rel_str(X0)
| ( the_carrier(X0) != X3 )
| ( the_carrier(X0) != X2 )
| ( the_InternalRel(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_149,c_714]) ).
tcf(c_738,plain,
! [X0: $i] :
( element(the_InternalRel(X0),powerset(cartesian_product2(the_carrier(X0),the_carrier(X0))))
| ~ rel_str(X0) ),
inference(unflattening,[status(thm)],[c_737]) ).
tcf(c_758,plain,
! [X0: $i] :
( is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
| ~ rel_str(X0)
| ( X0 != sK10 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_91]) ).
tcf(c_759,plain,
( is_antisymmetric_in(the_InternalRel(sK10),the_carrier(sK10))
| ~ rel_str(sK10) ),
inference(unflattening,[status(thm)],[c_758]) ).
tcf(c_760,plain,
is_antisymmetric_in(the_InternalRel(sK10),the_carrier(sK10)),
inference(global_subsumption_just,[status(thm)],[c_759,c_92,c_91,c_125]) ).
tcf(c_768,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),the_InternalRel(X0))
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ( X2 != sK12 )
| ( X1 != sK11 )
| ( X0 != sK10 ) ),
inference(resolution_lifted,[status(thm)],[c_629,c_87]) ).
tcf(c_769,plain,
( in(unordered_pair(singleton(sK11),unordered_pair(sK11,sK12)),the_InternalRel(sK10))
| ~ rel_str(sK10)
| ~ element(sK12,the_carrier(sK10))
| ~ element(sK11,the_carrier(sK10)) ),
inference(unflattening,[status(thm)],[c_768]) ).
tcf(c_770,plain,
in(unordered_pair(singleton(sK11),unordered_pair(sK11,sK12)),the_InternalRel(sK10)),
inference(global_subsumption_just,[status(thm)],[c_769,c_92,c_90,c_89,c_769]) ).
tcf(c_775,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),the_InternalRel(X0))
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ( X2 != sK11 )
| ( X1 != sK12 )
| ( X0 != sK10 ) ),
inference(resolution_lifted,[status(thm)],[c_629,c_88]) ).
tcf(c_776,plain,
( in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK11)),the_InternalRel(sK10))
| ~ rel_str(sK10)
| ~ element(sK12,the_carrier(sK10))
| ~ element(sK11,the_carrier(sK10)) ),
inference(unflattening,[status(thm)],[c_775]) ).
tcf(c_777,plain,
in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK11)),the_InternalRel(sK10)),
inference(global_subsumption_just,[status(thm)],[c_776,c_92,c_90,c_89,c_776]) ).
tcf(c_789,plain,
! [X0: $i] :
( element(the_InternalRel(X0),powerset(cartesian_product2(the_carrier(X0),the_carrier(X0))))
| ( X0 != sK10 ) ),
inference(resolution_lifted,[status(thm)],[c_738,c_92]) ).
tcf(c_790,plain,
element(the_InternalRel(sK10),powerset(cartesian_product2(the_carrier(sK10),the_carrier(sK10)))),
inference(unflattening,[status(thm)],[c_789]) ).
tcf(c_1258,plain,
in(unordered_pair(singleton(sK12),unordered_pair(sK11,sK12)),the_InternalRel(sK10)),
inference(demodulation,[status(thm)],[c_777,c_51]) ).
tcf(c_1640,definition,
iPr_def_10 = singleton(sK12),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1641,definition,
iPr_def_11 = unordered_pair(sK11,sK12),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1642,definition,
iPr_def_12 = unordered_pair(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1643,definition,
iPr_def_13 = the_InternalRel(sK10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1644,definition,
iPr_def_14 = the_carrier(sK10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1645,definition,
iPr_def_15 = cartesian_product2(iPr_def_14,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1646,definition,
iPr_def_16 = powerset(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1647,definition,
iPr_def_17 = singleton(sK11),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_1648,definition,
iPr_def_18 = unordered_pair(iPr_def_17,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_1649,plain,
in(iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_1258,c_1643,c_1641,c_1640,c_1642]) ).
tcf(c_1650,plain,
element(iPr_def_13,iPr_def_16),
inference(demodulation,[status(thm)],[c_790,c_1644,c_1645,c_1646]) ).
tcf(c_1651,plain,
in(iPr_def_18,iPr_def_13),
inference(demodulation,[status(thm)],[c_770,c_1647,c_1648]) ).
tcf(c_1652,plain,
is_antisymmetric_in(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_760]) ).
tcf(c_1653,negated_conjecture,
element(sK11,iPr_def_14),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_1654,negated_conjecture,
element(sK12,iPr_def_14),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_1655,negated_conjecture,
sK11 != sK12,
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_2171,plain,
unordered_pair(iPr_def_11,iPr_def_17) = iPr_def_18,
inference(demodulation,[status(thm)],[c_1648,c_51]) ).
tcf(c_2224,plain,
! [X0: $i] :
( relation(X0)
| ~ element(X0,powerset(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_1645,c_50]) ).
tcf(c_2225,plain,
! [X0: $i] :
( relation(X0)
| ~ element(X0,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_2224,c_1646]) ).
tcf(c_2244,plain,
relation(iPr_def_13),
inference(superposition,[status(thm)],[c_1650,c_2225]) ).
tcf(c_2269,plain,
! [X0: $i] :
( empty(X0)
| in(sK4(X0),X0) ),
inference(superposition,[status(thm)],[c_66,c_93]) ).
tcf(c_2274,plain,
( empty(iPr_def_14)
| in(sK11,iPr_def_14) ),
inference(superposition,[status(thm)],[c_1653,c_93]) ).
tcf(c_2275,plain,
( empty(iPr_def_14)
| in(sK12,iPr_def_14) ),
inference(superposition,[status(thm)],[c_1654,c_93]) ).
tcf(c_2414,plain,
! [X0: $i,X1: $i] :
( element(X0,iPr_def_15)
| ~ element(X1,iPr_def_16)
| ~ in(X0,X1) ),
inference(superposition,[status(thm)],[c_1646,c_95]) ).
tcf(c_2451,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ in(X0,sK4(powerset(X1))) ),
inference(superposition,[status(thm)],[c_66,c_96]) ).
tcf(c_2457,plain,
! [X0: $i,X1: $i] :
( ~ empty(iPr_def_15)
| ~ element(X1,iPr_def_16)
| ~ in(X0,X1) ),
inference(superposition,[status(thm)],[c_1646,c_96]) ).
tcf(c_2481,plain,
! [X0: $i,X1: $i] :
( in(sK11,X0)
| ~ in(unordered_pair(singleton(sK11),iPr_def_11),cartesian_product2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1641,c_586]) ).
tcf(c_2491,plain,
! [X0: $i,X1: $i] :
( in(sK11,X0)
| ~ in(unordered_pair(iPr_def_17,iPr_def_11),cartesian_product2(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_2481,c_1647]) ).
tcf(c_2848,plain,
! [X0: $i,X1: $i] :
( ( sK11 = sK12 )
| ~ relation(X0)
| ~ in(sK12,X1)
| ~ in(sK11,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ in(unordered_pair(singleton(sK11),iPr_def_11),X0)
| ~ in(unordered_pair(singleton(sK12),unordered_pair(sK12,sK11)),X0) ),
inference(superposition,[status(thm)],[c_1641,c_661]) ).
tcf(c_2865,plain,
! [X0: $i,X1: $i] :
( ( sK11 = sK12 )
| ~ relation(X0)
| ~ in(sK12,X1)
| ~ in(sK11,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ in(unordered_pair(iPr_def_17,iPr_def_11),X0)
| ~ in(unordered_pair(iPr_def_10,unordered_pair(sK12,sK11)),X0) ),
inference(light_normalisation,[status(thm)],[c_2848,c_1640,c_1647]) ).
tcf(c_2866,plain,
! [X0: $i,X1: $i] :
( ~ relation(X0)
| ~ in(sK12,X1)
| ~ in(sK11,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ in(unordered_pair(iPr_def_17,iPr_def_11),X0)
| ~ in(unordered_pair(iPr_def_10,unordered_pair(sK12,sK11)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2865,c_1655]) ).
tcf(c_2993,plain,
! [X0: $i] :
( empty(sK4(powerset(X0)))
| ~ empty(X0) ),
inference(superposition,[status(thm)],[c_2269,c_2451]) ).
tcf(c_3035,plain,
! [X0: $i,X1: $i] :
( ~ relation(X0)
| ~ in(iPr_def_18,X0)
| ~ in(iPr_def_12,X0)
| ~ in(sK12,X1)
| ~ in(sK11,X1)
| ~ is_antisymmetric_in(X0,X1) ),
inference(demodulation,[status(thm)],[c_2866,c_51,c_1641,c_1642,c_2171]) ).
tcf(c_3055,plain,
( ~ relation(iPr_def_13)
| ~ in(iPr_def_18,iPr_def_13)
| ~ in(iPr_def_12,iPr_def_13)
| ~ in(sK12,iPr_def_14)
| ~ in(sK11,iPr_def_14) ),
inference(superposition,[status(thm)],[c_1652,c_3035]) ).
tcf(c_3062,plain,
( ~ in(sK12,iPr_def_14)
| ~ in(sK11,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3055,c_2244,c_1651,c_1649]) ).
tcf(c_3077,plain,
( empty(iPr_def_14)
| ~ in(sK11,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2275,c_3062]) ).
tcf(c_3080,plain,
empty(iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_3077,c_2274,c_3077]) ).
tcf(c_3082,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ empty(X0) ),
inference(superposition,[status(thm)],[c_3080,c_99]) ).
tcf(c_3117,plain,
! [X0: $i] :
( ( sK4(powerset(X0)) = iPr_def_14 )
| ~ empty(X0) ),
inference(superposition,[status(thm)],[c_2993,c_3082]) ).
tcf(c_3195,plain,
sK4(powerset(iPr_def_14)) = iPr_def_14,
inference(superposition,[status(thm)],[c_3080,c_3117]) ).
tcf(c_3214,plain,
! [X0: $i] :
( ~ empty(iPr_def_14)
| ~ in(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3195,c_2451]) ).
tcf(c_3219,plain,
! [X0: $i] : ~ in(X0,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_3214,c_3080]) ).
tcf(c_3962,plain,
( element(iPr_def_18,iPr_def_15)
| ~ element(iPr_def_13,iPr_def_16) ),
inference(superposition,[status(thm)],[c_1651,c_2414]) ).
tcf(c_3985,plain,
element(iPr_def_18,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_3962,c_1650]) ).
tcf(c_4290,plain,
( empty(iPr_def_15)
| in(iPr_def_18,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3985,c_93]) ).
tcf(c_4525,plain,
( ~ empty(iPr_def_15)
| ~ element(iPr_def_13,iPr_def_16) ),
inference(superposition,[status(thm)],[c_1649,c_2457]) ).
tcf(c_4547,plain,
~ empty(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_4525,c_1650]) ).
tcf(c_4551,plain,
in(iPr_def_18,iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_4290,c_4547]) ).
tcf(c_4556,plain,
! [X0: $i,X1: $i] :
( in(sK11,X0)
| ~ in(iPr_def_18,cartesian_product2(X0,X1)) ),
inference(demodulation,[status(thm)],[c_2491,c_51,c_2171]) ).
tcf(c_4563,plain,
( in(sK11,iPr_def_14)
| ~ in(iPr_def_18,iPr_def_15) ),
inference(superposition,[status(thm)],[c_1645,c_4556]) ).
tcf(c_4564,plain,
~ in(iPr_def_18,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_4563,c_3219]) ).
tcf(c_4565,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4564,c_4551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU339+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 13:45:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.19/1.18 % SZS status Started for theBenchmark.p
% 2.19/1.18 % SZS status Theorem for theBenchmark.p
% 2.19/1.18
% 2.19/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.19/1.18
% 2.19/1.18 % ------ iProver source info
% 2.19/1.18
% 2.19/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.19/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.19/1.18 % git: non_committed_changes: false
% 2.19/1.18
% 2.19/1.18 % ------ Parsing...
% 2.19/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.19/1.18
% 2.19/1.18 % ------ Preprocessing... sup_sim: 8 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 1 sf_s rm: 6 0s sf_e pe_s pe_e %
% 2.19/1.18
% 2.19/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.19/1.18
% 2.19/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.19/1.18 % ------ Proving...
% 2.19/1.18 % ------ Problem Properties
% 2.19/1.18
% 2.19/1.18 %
% 2.19/1.18 % clauses 51
% 2.19/1.18 % conjectures 3
% 2.19/1.18 % EPR 16
% 2.19/1.18 % Horn 44
% 2.19/1.18 % unary 30
% 2.19/1.18 % binary 9
% 2.19/1.18 % lits 88
% 2.19/1.18 % lits eq 15
% 2.19/1.18 % fd_pure 0
% 2.19/1.18 % fd_pseudo 0
% 2.19/1.18 % fd_cond 1
% 2.19/1.18 % fd_pseudo_cond 2
% 2.19/1.18 % AC symbols 0
% 2.19/1.18
% 2.19/1.18 % ------ Schedule dynamic 5 is on
% 2.19/1.18
% 2.19/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.19/1.18
% 2.19/1.18
% 2.19/1.18 % ------
% 2.19/1.18 % Current options:
% 2.19/1.18 % ------
% 2.19/1.18
% 2.19/1.18
% 2.19/1.18 %
% 2.19/1.18
% 2.19/1.18 % ------ Proving...
% 2.19/1.18 %
% 2.19/1.18
% 2.19/1.18 % SZS status Theorem for theBenchmark.p
% 2.19/1.18
% 2.19/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.19/1.19
% 2.19/1.19
%------------------------------------------------------------------------------