TSTP Solution File: SEU383+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU383+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 : Thu Aug 31 17:06:46 EDT 2023
% Result : Theorem 9.99s 2.15s
% Output : CNFRefutation 9.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 160 ( 24 unt; 0 def)
% Number of atoms : 618 ( 68 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 755 ( 297 ~; 279 |; 139 &)
% ( 10 <=>; 27 =>; 0 <=; 3 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 231 ( 1 sgn; 120 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( related(X0,X2,X3)
& in(X2,X1) )
=> in(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(f12,axiom,
! [X0] :
( rel_str(X0)
=> element(bottom_of_relstr(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(f13,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f20,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f33,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f34,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f35,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f36,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f38,axiom,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f41,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ( proper_element(X1,powerset(X0))
<=> X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
fof(f45,conjecture,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& ~ empty(X1) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel_7) ).
fof(f46,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& ~ empty(X1) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
inference(negated_conjecture,[],[f45]) ).
fof(f47,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f33]) ).
fof(f48,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f49,plain,
~ ! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
inference(pure_predicate_removal,[],[f46]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ related(X0,X2,X3)
| ~ in(X2,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ related(X0,X2,X3)
| ~ in(X2,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(flattening,[],[f61]) ).
fof(f64,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f65,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f66,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f67,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f66]) ).
fof(f75,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f76,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f77,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f79,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f83,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f85,plain,
! [X0,X1] :
( ( proper_element(X1,powerset(X0))
<=> X0 != X1 )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<~> ~ in(bottom_of_relstr(X0),X1) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<~> ~ in(bottom_of_relstr(X0),X1) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& related(X0,X2,X3)
& in(X2,X1)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ related(X0,X2,X3)
| ~ in(X2,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f62]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& related(X0,X2,X3)
& in(X2,X1)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ related(X0,X4,X5)
| ~ in(X4,X1)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& related(X0,X2,X3)
& in(X2,X1)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
=> ( ? [X3] :
( ~ in(X3,X1)
& related(X0,sK0(X0,X1),X3)
& in(sK0(X0,X1),X1)
& element(X3,the_carrier(X0)) )
& element(sK0(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X1)
& related(X0,sK0(X0,X1),X3)
& in(sK0(X0,X1),X1)
& element(X3,the_carrier(X0)) )
=> ( ~ in(sK1(X0,X1),X1)
& related(X0,sK0(X0,X1),sK1(X0,X1))
& in(sK0(X0,X1),X1)
& element(sK1(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ( ~ in(sK1(X0,X1),X1)
& related(X0,sK0(X0,X1),sK1(X0,X1))
& in(sK0(X0,X1),X1)
& element(sK1(X0,X1),the_carrier(X0))
& element(sK0(X0,X1),the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ related(X0,X4,X5)
| ~ in(X4,X1)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f92,f94,f93]) ).
fof(f122,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f123,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK15(X0,X1),X1)
| ~ in(sK15(X0,X1),X0) )
& ( in(sK15(X0,X1),X1)
| in(sK15(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK15(X0,X1),X1)
| ~ in(sK15(X0,X1),X0) )
& ( in(sK15(X0,X1),X1)
| in(sK15(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f122,f123]) ).
fof(f125,plain,
! [X0,X1] :
( ( ( proper_element(X1,powerset(X0))
| X0 = X1 )
& ( X0 != X1
| ~ proper_element(X1,powerset(X0)) ) )
| ~ element(X1,powerset(X0)) ),
inference(nnf_transformation,[],[f85]) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f90]) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
( ? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ( in(bottom_of_relstr(sK16),X1)
| ~ proper_element(X1,powerset(the_carrier(sK16))) )
& ( ~ in(bottom_of_relstr(sK16),X1)
| proper_element(X1,powerset(the_carrier(sK16))) )
& element(X1,powerset(the_carrier(sK16)))
& upper_relstr_subset(X1,sK16)
& ~ empty(X1) )
& rel_str(sK16)
& lower_bounded_relstr(sK16)
& antisymmetric_relstr(sK16)
& transitive_relstr(sK16)
& reflexive_relstr(sK16)
& ~ empty_carrier(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X1] :
( ( in(bottom_of_relstr(sK16),X1)
| ~ proper_element(X1,powerset(the_carrier(sK16))) )
& ( ~ in(bottom_of_relstr(sK16),X1)
| proper_element(X1,powerset(the_carrier(sK16))) )
& element(X1,powerset(the_carrier(sK16)))
& upper_relstr_subset(X1,sK16)
& ~ empty(X1) )
=> ( ( in(bottom_of_relstr(sK16),sK17)
| ~ proper_element(sK17,powerset(the_carrier(sK16))) )
& ( ~ in(bottom_of_relstr(sK16),sK17)
| proper_element(sK17,powerset(the_carrier(sK16))) )
& element(sK17,powerset(the_carrier(sK16)))
& upper_relstr_subset(sK17,sK16)
& ~ empty(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ( in(bottom_of_relstr(sK16),sK17)
| ~ proper_element(sK17,powerset(the_carrier(sK16))) )
& ( ~ in(bottom_of_relstr(sK16),sK17)
| proper_element(sK17,powerset(the_carrier(sK16))) )
& element(sK17,powerset(the_carrier(sK16)))
& upper_relstr_subset(sK17,sK16)
& ~ empty(sK17)
& rel_str(sK16)
& lower_bounded_relstr(sK16)
& antisymmetric_relstr(sK16)
& transitive_relstr(sK16)
& reflexive_relstr(sK16)
& ~ empty_carrier(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f127,f129,f128]) ).
fof(f139,plain,
! [X0,X1,X4,X5] :
( in(X5,X1)
| ~ related(X0,X4,X5)
| ~ in(X4,X1)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f146,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f147,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f151,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f175,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f47]) ).
fof(f176,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f177,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f178,plain,
! [X0,X1] :
( X0 = X1
| in(sK15(X0,X1),X1)
| in(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f179,plain,
! [X0,X1] :
( X0 = X1
| ~ in(sK15(X0,X1),X1)
| ~ in(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f180,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f181,plain,
! [X0,X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f182,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f184,plain,
! [X0,X1] :
( X0 != X1
| ~ proper_element(X1,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f185,plain,
! [X0,X1] :
( proper_element(X1,powerset(X0))
| X0 = X1
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f189,plain,
~ empty_carrier(sK16),
inference(cnf_transformation,[],[f130]) ).
fof(f192,plain,
antisymmetric_relstr(sK16),
inference(cnf_transformation,[],[f130]) ).
fof(f193,plain,
lower_bounded_relstr(sK16),
inference(cnf_transformation,[],[f130]) ).
fof(f194,plain,
rel_str(sK16),
inference(cnf_transformation,[],[f130]) ).
fof(f195,plain,
~ empty(sK17),
inference(cnf_transformation,[],[f130]) ).
fof(f196,plain,
upper_relstr_subset(sK17,sK16),
inference(cnf_transformation,[],[f130]) ).
fof(f197,plain,
element(sK17,powerset(the_carrier(sK16))),
inference(cnf_transformation,[],[f130]) ).
fof(f198,plain,
( ~ in(bottom_of_relstr(sK16),sK17)
| proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f199,plain,
( in(bottom_of_relstr(sK16),sK17)
| ~ proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f200,plain,
! [X1] :
( ~ proper_element(X1,powerset(X1))
| ~ element(X1,powerset(X1)) ),
inference(equality_resolution,[],[f184]) ).
cnf(c_61,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ related(X1,X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(X2,X0)
| ~ upper_relstr_subset(X0,X1)
| ~ rel_str(X1)
| in(X3,X0) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_63,plain,
( ~ rel_str(X0)
| element(bottom_of_relstr(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_64,plain,
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_68,plain,
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_92,plain,
subset(X0,X0),
inference(cnf_transformation,[],[f175]) ).
cnf(c_93,plain,
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_94,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_95,plain,
( ~ in(sK15(X0,X1),X0)
| ~ in(sK15(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_96,plain,
( X0 = X1
| in(sK15(X0,X1),X0)
| in(sK15(X0,X1),X1) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_97,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_98,plain,
( ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| related(X1,bottom_of_relstr(X1),X0)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_99,plain,
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| element(X2,X1) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_101,plain,
( ~ element(X0,powerset(X1))
| X0 = X1
| proper_element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_102,plain,
( ~ element(X0,powerset(X0))
| ~ proper_element(X0,powerset(X0)) ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_106,negated_conjecture,
( ~ proper_element(sK17,powerset(the_carrier(sK16)))
| in(bottom_of_relstr(sK16),sK17) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_107,negated_conjecture,
( ~ in(bottom_of_relstr(sK16),sK17)
| proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_108,negated_conjecture,
element(sK17,powerset(the_carrier(sK16))),
inference(cnf_transformation,[],[f197]) ).
cnf(c_109,negated_conjecture,
upper_relstr_subset(sK17,sK16),
inference(cnf_transformation,[],[f196]) ).
cnf(c_110,negated_conjecture,
~ empty(sK17),
inference(cnf_transformation,[],[f195]) ).
cnf(c_111,negated_conjecture,
rel_str(sK16),
inference(cnf_transformation,[],[f194]) ).
cnf(c_112,negated_conjecture,
lower_bounded_relstr(sK16),
inference(cnf_transformation,[],[f193]) ).
cnf(c_113,negated_conjecture,
antisymmetric_relstr(sK16),
inference(cnf_transformation,[],[f192]) ).
cnf(c_116,negated_conjecture,
~ empty_carrier(sK16),
inference(cnf_transformation,[],[f189]) ).
cnf(c_117,plain,
subset(sK16,sK16),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_124,plain,
( ~ rel_str(sK16)
| one_sorted_str(sK16) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_135,plain,
( ~ subset(sK16,sK16)
| element(sK16,powerset(sK16)) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_136,plain,
( ~ rel_str(sK16)
| element(bottom_of_relstr(sK16),the_carrier(sK16)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_140,plain,
( ~ empty(the_carrier(sK16))
| ~ one_sorted_str(sK16)
| empty_carrier(sK16) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_143,plain,
( ~ element(sK16,powerset(sK16))
| ~ proper_element(sK16,powerset(sK16)) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_147,plain,
( ~ element(sK16,powerset(sK16))
| sK16 = sK16
| proper_element(sK16,powerset(sK16)) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_161,plain,
( ~ in(bottom_of_relstr(sK16),sK17)
| proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(prop_impl_just,[status(thm)],[c_107]) ).
cnf(c_201,plain,
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_97]) ).
cnf(c_202,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(renaming,[status(thm)],[c_201]) ).
cnf(c_215,plain,
( ~ proper_element(X0,powerset(X0))
| ~ element(X0,powerset(X0)) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
cnf(c_216,plain,
( ~ element(X0,powerset(X0))
| ~ proper_element(X0,powerset(X0)) ),
inference(renaming,[status(thm)],[c_215]) ).
cnf(c_517,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ related(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ in(X2,X0)
| ~ upper_relstr_subset(X0,X1)
| ~ rel_str(X1)
| in(X3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_99]) ).
cnf(c_925,plain,
( X0 != X1
| X0 != X2
| element(X1,powerset(X2)) ),
inference(resolution_lifted,[status(thm)],[c_92,c_202]) ).
cnf(c_926,plain,
element(X0,powerset(X0)),
inference(unflattening,[status(thm)],[c_925]) ).
cnf(c_932,plain,
~ proper_element(X0,powerset(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_216,c_926]) ).
cnf(c_936,plain,
( X0 != sK16
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| related(X0,bottom_of_relstr(X0),X1)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_98,c_112]) ).
cnf(c_937,plain,
( ~ element(X0,the_carrier(sK16))
| ~ rel_str(sK16)
| ~ antisymmetric_relstr(sK16)
| related(sK16,bottom_of_relstr(sK16),X0)
| empty_carrier(sK16) ),
inference(unflattening,[status(thm)],[c_936]) ).
cnf(c_939,plain,
( related(sK16,bottom_of_relstr(sK16),X0)
| ~ element(X0,the_carrier(sK16)) ),
inference(global_subsumption_just,[status(thm)],[c_937,c_113,c_111,c_116,c_937]) ).
cnf(c_940,plain,
( ~ element(X0,the_carrier(sK16))
| related(sK16,bottom_of_relstr(sK16),X0) ),
inference(renaming,[status(thm)],[c_939]) ).
cnf(c_978,plain,
( powerset(the_carrier(sK16)) != powerset(X0)
| X0 != sK17
| ~ in(bottom_of_relstr(sK16),sK17) ),
inference(resolution_lifted,[status(thm)],[c_932,c_161]) ).
cnf(c_979,plain,
( powerset(the_carrier(sK16)) != powerset(sK17)
| ~ in(bottom_of_relstr(sK16),sK17) ),
inference(unflattening,[status(thm)],[c_978]) ).
cnf(c_1093,plain,
( bottom_of_relstr(sK16) != X1
| X0 != sK16
| X2 != X3
| ~ element(X4,powerset(the_carrier(X0)))
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(sK16))
| ~ in(X1,X4)
| ~ upper_relstr_subset(X4,X0)
| ~ rel_str(X0)
| in(X2,X4) ),
inference(resolution_lifted,[status(thm)],[c_517,c_940]) ).
cnf(c_1094,plain,
( ~ element(X0,powerset(the_carrier(sK16)))
| ~ in(bottom_of_relstr(sK16),X0)
| ~ element(X1,the_carrier(sK16))
| ~ upper_relstr_subset(X0,sK16)
| ~ rel_str(sK16)
| in(X1,X0) ),
inference(unflattening,[status(thm)],[c_1093]) ).
cnf(c_1096,plain,
( ~ upper_relstr_subset(X0,sK16)
| ~ element(X1,the_carrier(sK16))
| ~ in(bottom_of_relstr(sK16),X0)
| ~ element(X0,powerset(the_carrier(sK16)))
| in(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1094,c_111,c_1094]) ).
cnf(c_1097,plain,
( ~ element(X0,powerset(the_carrier(sK16)))
| ~ in(bottom_of_relstr(sK16),X0)
| ~ element(X1,the_carrier(sK16))
| ~ upper_relstr_subset(X0,sK16)
| in(X1,X0) ),
inference(renaming,[status(thm)],[c_1096]) ).
cnf(c_1922,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1925,plain,
( X0 != X1
| powerset(X0) = powerset(X1) ),
theory(equality) ).
cnf(c_1926,plain,
( X0 != X1
| X2 != X3
| ~ element(X1,X3)
| element(X0,X2) ),
theory(equality) ).
cnf(c_1927,plain,
( X0 != X1
| bottom_of_relstr(X0) = bottom_of_relstr(X1) ),
theory(equality) ).
cnf(c_1931,plain,
( X0 != X1
| the_carrier(X0) = the_carrier(X1) ),
theory(equality) ).
cnf(c_1937,plain,
( sK16 != sK16
| bottom_of_relstr(sK16) = bottom_of_relstr(sK16) ),
inference(instantiation,[status(thm)],[c_1927]) ).
cnf(c_1940,plain,
( sK16 != sK16
| the_carrier(sK16) = the_carrier(sK16) ),
inference(instantiation,[status(thm)],[c_1931]) ).
cnf(c_3510,plain,
( ~ element(sK17,powerset(the_carrier(sK16)))
| ~ element(X0,the_carrier(sK16))
| ~ in(bottom_of_relstr(sK16),sK17)
| ~ upper_relstr_subset(sK17,sK16)
| in(X0,sK17) ),
inference(instantiation,[status(thm)],[c_1097]) ).
cnf(c_4721,plain,
( ~ element(X0,the_carrier(sK16))
| in(X0,the_carrier(sK16))
| empty(the_carrier(sK16)) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_4889,plain,
( X0 != bottom_of_relstr(sK16)
| X1 != the_carrier(sK16)
| ~ element(bottom_of_relstr(sK16),the_carrier(sK16))
| element(X0,X1) ),
inference(instantiation,[status(thm)],[c_1926]) ).
cnf(c_5709,plain,
( sK17 = X0
| in(sK15(sK17,X0),X0)
| in(sK15(sK17,X0),sK17) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_5710,plain,
( ~ in(sK15(sK17,X0),X0)
| ~ in(sK15(sK17,X0),sK17)
| sK17 = X0 ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_5711,plain,
( ~ element(sK17,powerset(X0))
| sK17 = X0
| proper_element(sK17,powerset(X0)) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_5732,plain,
( X0 != X1
| sK17 != X1
| X0 = sK17 ),
inference(instantiation,[status(thm)],[c_1922]) ).
cnf(c_7287,plain,
( bottom_of_relstr(X0) != bottom_of_relstr(sK16)
| X1 != the_carrier(sK16)
| ~ element(bottom_of_relstr(sK16),the_carrier(sK16))
| element(bottom_of_relstr(X0),X1) ),
inference(instantiation,[status(thm)],[c_4889]) ).
cnf(c_10994,plain,
( ~ element(sK17,powerset(the_carrier(sK16)))
| sK17 = the_carrier(sK16)
| proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(instantiation,[status(thm)],[c_5711]) ).
cnf(c_11652,plain,
( ~ in(sK15(sK17,X0),X0)
| element(sK15(sK17,X0),X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_19831,plain,
( ~ in(sK15(sK17,X0),sK17)
| ~ element(sK17,powerset(X1))
| element(sK15(sK17,X0),X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_21997,plain,
( ~ element(sK15(sK17,the_carrier(sK16)),the_carrier(sK16))
| in(sK15(sK17,the_carrier(sK16)),the_carrier(sK16))
| empty(the_carrier(sK16)) ),
inference(instantiation,[status(thm)],[c_4721]) ).
cnf(c_21998,plain,
( ~ in(sK15(sK17,the_carrier(sK16)),the_carrier(sK16))
| ~ in(sK15(sK17,the_carrier(sK16)),sK17)
| sK17 = the_carrier(sK16) ),
inference(instantiation,[status(thm)],[c_5710]) ).
cnf(c_24291,plain,
( ~ in(bottom_of_relstr(sK16),sK17)
| element(bottom_of_relstr(sK16),sK17) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_24632,plain,
( the_carrier(sK16) != sK17
| powerset(the_carrier(sK16)) = powerset(sK17) ),
inference(instantiation,[status(thm)],[c_1925]) ).
cnf(c_26119,plain,
( bottom_of_relstr(X0) != bottom_of_relstr(sK16)
| sK17 != the_carrier(sK16)
| ~ element(bottom_of_relstr(sK16),the_carrier(sK16))
| element(bottom_of_relstr(X0),sK17) ),
inference(instantiation,[status(thm)],[c_7287]) ).
cnf(c_26120,plain,
( bottom_of_relstr(sK16) != bottom_of_relstr(sK16)
| sK17 != the_carrier(sK16)
| ~ element(bottom_of_relstr(sK16),the_carrier(sK16))
| element(bottom_of_relstr(sK16),sK17) ),
inference(instantiation,[status(thm)],[c_26119]) ).
cnf(c_26123,plain,
( X0 != the_carrier(sK16)
| sK17 != the_carrier(sK16)
| X0 = sK17 ),
inference(instantiation,[status(thm)],[c_5732]) ).
cnf(c_28042,plain,
( the_carrier(sK16) = sK17
| proper_element(sK17,powerset(the_carrier(sK16))) ),
inference(superposition,[status(thm)],[c_108,c_101]) ).
cnf(c_28078,plain,
( the_carrier(sK16) = sK17
| in(bottom_of_relstr(sK16),sK17) ),
inference(superposition,[status(thm)],[c_28042,c_106]) ).
cnf(c_28087,plain,
( the_carrier(sK16) = sK17
| element(bottom_of_relstr(sK16),sK17) ),
inference(superposition,[status(thm)],[c_28078,c_93]) ).
cnf(c_28117,plain,
element(bottom_of_relstr(sK16),sK17),
inference(global_subsumption_just,[status(thm)],[c_28087,c_111,c_117,c_108,c_135,c_136,c_106,c_143,c_147,c_1937,c_10994,c_24291,c_26120]) ).
cnf(c_28119,plain,
( in(bottom_of_relstr(sK16),sK17)
| empty(sK17) ),
inference(superposition,[status(thm)],[c_28117,c_94]) ).
cnf(c_28120,plain,
in(bottom_of_relstr(sK16),sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_28119,c_110]) ).
cnf(c_33008,plain,
( sK17 = the_carrier(sK16)
| in(sK15(sK17,the_carrier(sK16)),the_carrier(sK16))
| in(sK15(sK17,the_carrier(sK16)),sK17) ),
inference(instantiation,[status(thm)],[c_5709]) ).
cnf(c_36928,plain,
( ~ in(sK15(sK17,X0),sK17)
| ~ element(sK17,powerset(the_carrier(sK16)))
| element(sK15(sK17,X0),the_carrier(sK16)) ),
inference(instantiation,[status(thm)],[c_19831]) ).
cnf(c_40957,plain,
( ~ element(sK15(sK17,the_carrier(sK16)),the_carrier(sK16))
| ~ element(sK17,powerset(the_carrier(sK16)))
| ~ in(bottom_of_relstr(sK16),sK17)
| ~ upper_relstr_subset(sK17,sK16)
| in(sK15(sK17,the_carrier(sK16)),sK17) ),
inference(instantiation,[status(thm)],[c_3510]) ).
cnf(c_41008,plain,
( ~ in(sK15(sK17,the_carrier(sK16)),sK17)
| ~ element(sK17,powerset(the_carrier(sK16)))
| element(sK15(sK17,the_carrier(sK16)),the_carrier(sK16)) ),
inference(instantiation,[status(thm)],[c_36928]) ).
cnf(c_42915,plain,
( ~ in(sK15(sK17,the_carrier(sK16)),the_carrier(sK16))
| element(sK15(sK17,the_carrier(sK16)),the_carrier(sK16)) ),
inference(instantiation,[status(thm)],[c_11652]) ).
cnf(c_45243,plain,
( the_carrier(sK16) != the_carrier(sK16)
| sK17 != the_carrier(sK16)
| the_carrier(sK16) = sK17 ),
inference(instantiation,[status(thm)],[c_26123]) ).
cnf(c_45244,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_45243,c_42915,c_41008,c_40957,c_33008,c_28120,c_24632,c_21998,c_21997,c_1940,c_979,c_147,c_143,c_140,c_135,c_124,c_108,c_117,c_109,c_116,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU383+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 21:54:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.99/2.15 % SZS status Started for theBenchmark.p
% 9.99/2.15 % SZS status Theorem for theBenchmark.p
% 9.99/2.15
% 9.99/2.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.99/2.15
% 9.99/2.15 ------ iProver source info
% 9.99/2.15
% 9.99/2.15 git: date: 2023-05-31 18:12:56 +0000
% 9.99/2.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.99/2.15 git: non_committed_changes: false
% 9.99/2.15 git: last_make_outside_of_git: false
% 9.99/2.15
% 9.99/2.15 ------ Parsing...
% 9.99/2.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.99/2.15
% 9.99/2.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe_e
% 9.99/2.15
% 9.99/2.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.99/2.15
% 9.99/2.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.99/2.15 ------ Proving...
% 9.99/2.15 ------ Problem Properties
% 9.99/2.15
% 9.99/2.15
% 9.99/2.15 clauses 58
% 9.99/2.15 conjectures 5
% 9.99/2.15 EPR 12
% 9.99/2.15 Horn 44
% 9.99/2.15 unary 28
% 9.99/2.15 binary 12
% 9.99/2.15 lits 114
% 9.99/2.15 lits eq 7
% 9.99/2.15 fd_pure 0
% 9.99/2.15 fd_pseudo 0
% 9.99/2.15 fd_cond 1
% 9.99/2.15 fd_pseudo_cond 4
% 9.99/2.15 AC symbols 0
% 9.99/2.15
% 9.99/2.15 ------ Schedule dynamic 5 is on
% 9.99/2.15
% 9.99/2.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.99/2.15
% 9.99/2.15
% 9.99/2.15 ------
% 9.99/2.15 Current options:
% 9.99/2.15 ------
% 9.99/2.15
% 9.99/2.15
% 9.99/2.15
% 9.99/2.15
% 9.99/2.15 ------ Proving...
% 9.99/2.15
% 9.99/2.15
% 9.99/2.15 % SZS status Theorem for theBenchmark.p
% 9.99/2.15
% 9.99/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.99/2.15
% 9.99/2.15
%------------------------------------------------------------------------------