TSTP Solution File: SEU395+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU395+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.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 : Wed Aug 31 18:29:42 EDT 2022
% Result : Theorem 2.12s 0.62s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 87 ( 18 unt; 0 def)
% Number of atoms : 549 ( 5 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 697 ( 235 ~; 219 |; 209 &)
% ( 7 <=>; 25 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 126 ( 105 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f458,plain,
$false,
inference(avatar_sat_refutation,[],[f291,f292,f451,f457]) ).
fof(f457,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f456,plain,
( $false
| ~ spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f455,f286]) ).
fof(f286,plain,
( is_a_convergence_point_of_set(sK3,sK4,sK5)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl10_1
<=> is_a_convergence_point_of_set(sK3,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f455,plain,
( ~ is_a_convergence_point_of_set(sK3,sK4,sK5)
| spl10_2 ),
inference(forward_demodulation,[],[f454,f302]) ).
fof(f302,plain,
filter_of_net_str(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)) = sK4,
inference(unit_resulting_resolution,[],[f296,f248,f254,f246,f252,f247,f253,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| empty(X1)
| empty_carrier(X0)
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ one_sorted_str(X0)
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( empty(X1)
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| empty(X1)
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& ~ empty(X1)
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
fof(f253,plain,
element(sK4,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3))))),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( topological_space(sK3)
& top_str(sK3)
& ~ empty_carrier(sK3)
& element(sK4,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3)))))
& upper_relstr_subset(sK4,boole_POSet(cast_as_carrier_subset(sK3)))
& element(sK5,the_carrier(sK3))
& ( ~ is_a_convergence_point_of_set(sK3,sK4,sK5)
| ~ in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) )
& ( is_a_convergence_point_of_set(sK3,sK4,sK5)
| in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) )
& ~ empty(sK4)
& proper_element(sK4,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3)))))
& filtered_subset(sK4,boole_POSet(cast_as_carrier_subset(sK3))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f204,f207,f206,f205]) ).
fof(f205,plain,
( ? [X0] :
( topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( ~ is_a_convergence_point_of_set(X0,X1,X2)
| ~ in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) )
& ( is_a_convergence_point_of_set(X0,X1,X2)
| in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) ) )
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) ) )
=> ( topological_space(sK3)
& top_str(sK3)
& ~ empty_carrier(sK3)
& ? [X1] :
( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK3)))
& ? [X2] :
( element(X2,the_carrier(sK3))
& ( ~ is_a_convergence_point_of_set(sK3,X1,X2)
| ~ in(X2,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),X1))) )
& ( is_a_convergence_point_of_set(sK3,X1,X2)
| in(X2,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),X1))) ) )
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK3))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
( ? [X1] :
( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK3)))
& ? [X2] :
( element(X2,the_carrier(sK3))
& ( ~ is_a_convergence_point_of_set(sK3,X1,X2)
| ~ in(X2,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),X1))) )
& ( is_a_convergence_point_of_set(sK3,X1,X2)
| in(X2,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),X1))) ) )
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK3))) )
=> ( element(sK4,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3)))))
& upper_relstr_subset(sK4,boole_POSet(cast_as_carrier_subset(sK3)))
& ? [X2] :
( element(X2,the_carrier(sK3))
& ( ~ is_a_convergence_point_of_set(sK3,sK4,X2)
| ~ in(X2,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) )
& ( is_a_convergence_point_of_set(sK3,sK4,X2)
| in(X2,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) ) )
& ~ empty(sK4)
& proper_element(sK4,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3)))))
& filtered_subset(sK4,boole_POSet(cast_as_carrier_subset(sK3))) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
( ? [X2] :
( element(X2,the_carrier(sK3))
& ( ~ is_a_convergence_point_of_set(sK3,sK4,X2)
| ~ in(X2,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) )
& ( is_a_convergence_point_of_set(sK3,sK4,X2)
| in(X2,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) ) )
=> ( element(sK5,the_carrier(sK3))
& ( ~ is_a_convergence_point_of_set(sK3,sK4,sK5)
| ~ in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) )
& ( is_a_convergence_point_of_set(sK3,sK4,sK5)
| in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
? [X0] :
( topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( ~ is_a_convergence_point_of_set(X0,X1,X2)
| ~ in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) )
& ( is_a_convergence_point_of_set(X0,X1,X2)
| in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) ) )
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) ) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
? [X0] :
( topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( ~ is_a_convergence_point_of_set(X0,X1,X2)
| ~ in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) )
& ( is_a_convergence_point_of_set(X0,X1,X2)
| in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) ) )
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) ) ),
inference(nnf_transformation,[],[f171]) ).
fof(f171,plain,
? [X0] :
( topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ? [X2] :
( element(X2,the_carrier(X0))
& ( in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)))
<~> is_a_convergence_point_of_set(X0,X1,X2) ) )
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) ) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( element(X2,the_carrier(X0))
& ( in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)))
<~> is_a_convergence_point_of_set(X0,X1,X2) ) )
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( is_a_convergence_point_of_set(X0,X1,X2)
<=> in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) ) ) ) ),
inference(negated_conjecture,[],[f127]) ).
fof(f127,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( is_a_convergence_point_of_set(X0,X1,X2)
<=> in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_yellow19) ).
fof(f247,plain,
proper_element(sK4,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK3))))),
inference(cnf_transformation,[],[f208]) ).
fof(f252,plain,
upper_relstr_subset(sK4,boole_POSet(cast_as_carrier_subset(sK3))),
inference(cnf_transformation,[],[f208]) ).
fof(f246,plain,
filtered_subset(sK4,boole_POSet(cast_as_carrier_subset(sK3))),
inference(cnf_transformation,[],[f208]) ).
fof(f254,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f208]) ).
fof(f248,plain,
~ empty(sK4),
inference(cnf_transformation,[],[f208]) ).
fof(f296,plain,
one_sorted_str(sK3),
inference(unit_resulting_resolution,[],[f255,f257]) ).
fof(f257,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f255,plain,
top_str(sK3),
inference(cnf_transformation,[],[f208]) ).
fof(f454,plain,
( ~ is_a_convergence_point_of_set(sK3,filter_of_net_str(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)),sK5)
| spl10_2 ),
inference(unit_resulting_resolution,[],[f254,f255,f256,f251,f354,f358,f357,f351,f289,f237]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
| ~ directed_relstr(X1)
| ~ topological_space(X0)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| in(X2,lim_points_of_net(X0,X1)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ~ topological_space(X0)
| empty_carrier(X0)
| ~ top_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
| ~ in(X2,lim_points_of_net(X0,X1)) )
& ( in(X2,lim_points_of_net(X0,X1))
| ~ is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2) ) ) )
| ~ transitive_relstr(X1) ) ),
inference(nnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ~ topological_space(X0)
| empty_carrier(X0)
| ~ top_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
<=> in(X2,lim_points_of_net(X0,X1)) ) )
| ~ transitive_relstr(X1) ) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
<=> in(X2,lim_points_of_net(X0,X1)) ) )
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ transitive_relstr(X1) )
| empty_carrier(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( ( directed_relstr(X1)
& ~ empty_carrier(X1)
& net_str(X1,X0)
& transitive_relstr(X1) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
<=> in(X2,lim_points_of_net(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_yellow19) ).
fof(f289,plain,
( ~ in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)))
| spl10_2 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl10_2
<=> in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f351,plain,
net_str(net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4),sK3),
inference(unit_resulting_resolution,[],[f254,f296,f248,f297,f252,f246,f253,f298,f242]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ element(X0,powerset(the_carrier(X2)))
| empty(X0)
| ~ filtered_subset(X1,boole_POSet(X0))
| net_str(net_of_bool_filter(X2,X0,X1),X2)
| empty_carrier(X2)
| empty(X1)
| ~ one_sorted_str(X2)
| ~ upper_relstr_subset(X1,boole_POSet(X0)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ~ one_sorted_str(X2)
| ~ element(X0,powerset(the_carrier(X2)))
| empty(X1)
| empty_carrier(X2)
| ~ filtered_subset(X1,boole_POSet(X0))
| ( net_str(net_of_bool_filter(X2,X0,X1),X2)
& ~ empty_carrier(net_of_bool_filter(X2,X0,X1)) )
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X0) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X1,X2,X0] :
( ~ one_sorted_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| empty_carrier(X0)
| ~ filtered_subset(X2,boole_POSet(X1))
| ( net_str(net_of_bool_filter(X0,X1,X2),X0)
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2)) )
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| empty(X1) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X1,X2,X0] :
( ( net_str(net_of_bool_filter(X0,X1,X2),X0)
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2)) )
| empty(X1)
| ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ filtered_subset(X2,boole_POSet(X1))
| empty(X2)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f150]) ).
fof(f150,plain,
! [X1,X2,X0] :
( ( ~ empty(X1)
& element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X2,boole_POSet(X1))
& filtered_subset(X2,boole_POSet(X1))
& ~ empty(X2)
& ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( net_str(net_of_bool_filter(X0,X1,X2),X0)
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f37]) ).
fof(f37,axiom,
! [X1,X2,X0] :
( ( ~ empty(X1)
& element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X2,boole_POSet(X1))
& filtered_subset(X2,boole_POSet(X1))
& ~ empty(X2)
& ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& net_str(net_of_bool_filter(X0,X1,X2),X0)
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow19) ).
fof(f298,plain,
element(cast_as_carrier_subset(sK3),powerset(the_carrier(sK3))),
inference(unit_resulting_resolution,[],[f296,f236]) ).
fof(f236,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( one_sorted_str(X0)
=> element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f297,plain,
~ empty(cast_as_carrier_subset(sK3)),
inference(unit_resulting_resolution,[],[f254,f296,f223]) ).
fof(f223,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(cast_as_carrier_subset(X0)) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f357,plain,
~ empty_carrier(net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)),
inference(unit_resulting_resolution,[],[f254,f296,f248,f297,f252,f246,f253,f298,f272]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| empty(X1)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ one_sorted_str(X0)
| empty(X2)
| ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ~ one_sorted_str(X0)
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ filtered_subset(X2,boole_POSet(X1))
| empty_carrier(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| empty(X1)
| ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| ( transitive_relstr(net_of_bool_filter(X0,X1,X2))
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2)) ) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
! [X1,X2,X0] :
( ~ one_sorted_str(X1)
| ~ upper_relstr_subset(X0,boole_POSet(X2))
| ~ filtered_subset(X0,boole_POSet(X2))
| empty_carrier(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X0)
| empty(X2)
| ~ element(X0,powerset(the_carrier(boole_POSet(X2))))
| ( transitive_relstr(net_of_bool_filter(X1,X2,X0))
& ~ empty_carrier(net_of_bool_filter(X1,X2,X0))
& reflexive_relstr(net_of_bool_filter(X1,X2,X0)) ) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ( transitive_relstr(net_of_bool_filter(X1,X2,X0))
& ~ empty_carrier(net_of_bool_filter(X1,X2,X0))
& reflexive_relstr(net_of_bool_filter(X1,X2,X0)) )
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X2)
| ~ upper_relstr_subset(X0,boole_POSet(X2))
| ~ element(X0,powerset(the_carrier(boole_POSet(X2))))
| ~ filtered_subset(X0,boole_POSet(X2))
| empty_carrier(X1)
| empty(X0)
| ~ one_sorted_str(X1) ),
inference(ennf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2)
& upper_relstr_subset(X0,boole_POSet(X2))
& element(X0,powerset(the_carrier(boole_POSet(X2))))
& filtered_subset(X0,boole_POSet(X2))
& ~ empty_carrier(X1)
& ~ empty(X0)
& one_sorted_str(X1) )
=> ( transitive_relstr(net_of_bool_filter(X1,X2,X0))
& ~ empty_carrier(net_of_bool_filter(X1,X2,X0))
& reflexive_relstr(net_of_bool_filter(X1,X2,X0)) ) ),
inference(pure_predicate_removal,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2)
& upper_relstr_subset(X0,boole_POSet(X2))
& element(X0,powerset(the_carrier(boole_POSet(X2))))
& filtered_subset(X0,boole_POSet(X2))
& ~ empty_carrier(X1)
& ~ empty(X0)
& one_sorted_str(X1) )
=> ( strict_net_str(net_of_bool_filter(X1,X2,X0),X1)
& transitive_relstr(net_of_bool_filter(X1,X2,X0))
& reflexive_relstr(net_of_bool_filter(X1,X2,X0))
& ~ empty_carrier(net_of_bool_filter(X1,X2,X0)) ) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X2,X0,X1] :
( ( ~ empty(X1)
& element(X2,powerset(the_carrier(boole_POSet(X1))))
& ~ empty(X2)
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X2,boole_POSet(X1))
& filtered_subset(X2,boole_POSet(X1))
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_yellow19) ).
fof(f358,plain,
transitive_relstr(net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)),
inference(unit_resulting_resolution,[],[f248,f296,f254,f297,f246,f252,f253,f298,f273]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| empty(X2)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| transitive_relstr(net_of_bool_filter(X0,X1,X2))
| ~ filtered_subset(X2,boole_POSet(X1))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f354,plain,
directed_relstr(net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)),
inference(unit_resulting_resolution,[],[f254,f248,f296,f297,f246,f252,f253,f247,f298,f262]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
| directed_relstr(net_of_bool_filter(X0,X1,X2))
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| empty_carrier(X0)
| empty(X2)
| ~ one_sorted_str(X0)
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ filtered_subset(X2,boole_POSet(X1)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ~ filtered_subset(X2,boole_POSet(X1))
| empty(X2)
| ~ one_sorted_str(X0)
| ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X1)
| ( reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& directed_relstr(net_of_bool_filter(X0,X1,X2))
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2)) )
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| empty_carrier(X0)
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(rectify,[],[f179]) ).
fof(f179,plain,
! [X2,X1,X0] :
( ~ filtered_subset(X0,boole_POSet(X1))
| empty(X0)
| ~ one_sorted_str(X2)
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X1,powerset(the_carrier(X2)))
| empty(X1)
| ( reflexive_relstr(net_of_bool_filter(X2,X1,X0))
& directed_relstr(net_of_bool_filter(X2,X1,X0))
& ~ empty_carrier(net_of_bool_filter(X2,X1,X0))
& transitive_relstr(net_of_bool_filter(X2,X1,X0)) )
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| empty_carrier(X2)
| ~ proper_element(X0,powerset(the_carrier(boole_POSet(X1)))) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X1,X0,X2] :
( ( reflexive_relstr(net_of_bool_filter(X2,X1,X0))
& directed_relstr(net_of_bool_filter(X2,X1,X0))
& ~ empty_carrier(net_of_bool_filter(X2,X1,X0))
& transitive_relstr(net_of_bool_filter(X2,X1,X0)) )
| empty(X1)
| empty_carrier(X2)
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ proper_element(X0,powerset(the_carrier(boole_POSet(X1))))
| ~ one_sorted_str(X2)
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ element(X1,powerset(the_carrier(X2))) ),
inference(ennf_transformation,[],[f151]) ).
fof(f151,plain,
! [X1,X0,X2] :
( ( ~ empty(X1)
& ~ empty_carrier(X2)
& element(X0,powerset(the_carrier(boole_POSet(X1))))
& ~ empty(X0)
& filtered_subset(X0,boole_POSet(X1))
& proper_element(X0,powerset(the_carrier(boole_POSet(X1))))
& one_sorted_str(X2)
& upper_relstr_subset(X0,boole_POSet(X1))
& element(X1,powerset(the_carrier(X2))) )
=> ( reflexive_relstr(net_of_bool_filter(X2,X1,X0))
& directed_relstr(net_of_bool_filter(X2,X1,X0))
& ~ empty_carrier(net_of_bool_filter(X2,X1,X0))
& transitive_relstr(net_of_bool_filter(X2,X1,X0)) ) ),
inference(pure_predicate_removal,[],[f144]) ).
fof(f144,plain,
! [X1,X0,X2] :
( ( ~ empty(X1)
& ~ empty_carrier(X2)
& element(X0,powerset(the_carrier(boole_POSet(X1))))
& ~ empty(X0)
& filtered_subset(X0,boole_POSet(X1))
& proper_element(X0,powerset(the_carrier(boole_POSet(X1))))
& one_sorted_str(X2)
& upper_relstr_subset(X0,boole_POSet(X1))
& element(X1,powerset(the_carrier(X2))) )
=> ( directed_relstr(net_of_bool_filter(X2,X1,X0))
& reflexive_relstr(net_of_bool_filter(X2,X1,X0))
& transitive_relstr(net_of_bool_filter(X2,X1,X0))
& ~ empty_carrier(net_of_bool_filter(X2,X1,X0))
& strict_net_str(net_of_bool_filter(X2,X1,X0),X2) ) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X2,X1,X0] :
( ( ~ empty_carrier(X0)
& element(X2,powerset(the_carrier(boole_POSet(X1))))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& element(X1,powerset(the_carrier(X0)))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& one_sorted_str(X0)
& upper_relstr_subset(X2,boole_POSet(X1))
& ~ empty(X1) )
=> ( reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& directed_relstr(net_of_bool_filter(X0,X1,X2))
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow19) ).
fof(f251,plain,
element(sK5,the_carrier(sK3)),
inference(cnf_transformation,[],[f208]) ).
fof(f256,plain,
topological_space(sK3),
inference(cnf_transformation,[],[f208]) ).
fof(f451,plain,
( spl10_1
| ~ spl10_2 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| spl10_1
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f449,f285]) ).
fof(f285,plain,
( ~ is_a_convergence_point_of_set(sK3,sK4,sK5)
| spl10_1 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f449,plain,
( is_a_convergence_point_of_set(sK3,sK4,sK5)
| ~ spl10_2 ),
inference(forward_demodulation,[],[f441,f302]) ).
fof(f441,plain,
( is_a_convergence_point_of_set(sK3,filter_of_net_str(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)),sK5)
| ~ spl10_2 ),
inference(unit_resulting_resolution,[],[f254,f256,f255,f251,f358,f354,f357,f290,f351,f238]) ).
fof(f238,plain,
! [X2,X0,X1] :
( is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ net_str(X1,X0)
| ~ topological_space(X0)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ in(X2,lim_points_of_net(X0,X1))
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f290,plain,
( in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)))
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f250,f288,f284]) ).
fof(f250,plain,
( ~ in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)))
| ~ is_a_convergence_point_of_set(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f208]) ).
fof(f291,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f249,f288,f284]) ).
fof(f249,plain,
( in(sK5,lim_points_of_net(sK3,net_of_bool_filter(sK3,cast_as_carrier_subset(sK3),sK4)))
| is_a_convergence_point_of_set(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SEU395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 15:33:14 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.15/0.48 % (13438)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.15/0.49 % (13438)Instruction limit reached!
% 0.15/0.49 % (13438)------------------------------
% 0.15/0.49 % (13438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (13427)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.50 % (13446)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.50 % (13430)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50 % (13435)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50 % (13443)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50 % (13430)Instruction limit reached!
% 0.15/0.50 % (13430)------------------------------
% 0.15/0.50 % (13430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (13438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (13438)Termination reason: Unknown
% 0.15/0.50 % (13438)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (13438)Memory used [KB]: 1918
% 0.15/0.50 % (13438)Time elapsed: 0.008 s
% 0.15/0.50 % (13438)Instructions burned: 11 (million)
% 0.15/0.50 % (13438)------------------------------
% 0.15/0.50 % (13438)------------------------------
% 0.15/0.51 % (13430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (13430)Termination reason: Unknown
% 0.15/0.51 % (13430)Termination phase: Property scanning
% 0.15/0.51
% 0.15/0.51 % (13430)Memory used [KB]: 1918
% 0.15/0.51 % (13430)Time elapsed: 0.007 s
% 0.15/0.51 % (13430)Instructions burned: 8 (million)
% 0.15/0.51 % (13430)------------------------------
% 0.15/0.51 % (13430)------------------------------
% 0.15/0.52 % (13429)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.15/0.53 % (13446)Instruction limit reached!
% 0.15/0.53 % (13446)------------------------------
% 0.15/0.53 % (13446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (13424)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.53 % (13420)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.53 % (13445)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.53 % (13446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (13446)Termination reason: Unknown
% 0.15/0.53 % (13446)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (13446)Memory used [KB]: 6908
% 0.15/0.53 % (13446)Time elapsed: 0.133 s
% 0.15/0.53 % (13446)Instructions burned: 25 (million)
% 0.15/0.53 % (13446)------------------------------
% 0.15/0.53 % (13446)------------------------------
% 0.15/0.53 % (13426)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.53 % (13425)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.54 % (13422)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.54 % (13428)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.15/0.54 % (13439)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.15/0.54 % (13423)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.54 % (13444)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.15/0.54 % (13441)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.54 % (13419)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.15/0.55 % (13429)Instruction limit reached!
% 0.15/0.55 % (13429)------------------------------
% 0.15/0.55 % (13429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (13429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (13429)Termination reason: Unknown
% 0.15/0.55 % (13429)Termination phase: Property scanning
% 0.15/0.55
% 0.15/0.55 % (13429)Memory used [KB]: 1918
% 0.15/0.55 % (13429)Time elapsed: 0.009 s
% 0.15/0.55 % (13429)Instructions burned: 13 (million)
% 0.15/0.55 % (13429)------------------------------
% 0.15/0.55 % (13429)------------------------------
% 0.15/0.55 % (13447)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.55 % (13432)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.55 % (13421)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.55 % (13437)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.55 % (13437)Instruction limit reached!
% 0.15/0.55 % (13437)------------------------------
% 0.15/0.55 % (13437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (13437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (13437)Termination reason: Unknown
% 0.15/0.55 % (13437)Termination phase: SInE selection
% 0.15/0.55
% 0.15/0.55 % (13437)Memory used [KB]: 1535
% 0.15/0.55 % (13437)Time elapsed: 0.004 s
% 0.15/0.55 % (13437)Instructions burned: 2 (million)
% 0.15/0.55 % (13437)------------------------------
% 0.15/0.55 % (13437)------------------------------
% 0.15/0.55 % (13436)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.55 % (13424)Instruction limit reached!
% 0.15/0.55 % (13424)------------------------------
% 0.15/0.55 % (13424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (13424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (13424)Termination reason: Unknown
% 0.15/0.55 % (13424)Termination phase: Saturation
% 0.15/0.55
% 0.15/0.55 % (13424)Memory used [KB]: 2046
% 0.15/0.55 % (13424)Time elapsed: 0.011 s
% 0.15/0.55 % (13424)Instructions burned: 15 (million)
% 0.15/0.55 % (13424)------------------------------
% 0.15/0.55 % (13424)------------------------------
% 0.15/0.56 % (13431)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.56 % (13436)Instruction limit reached!
% 0.15/0.56 % (13436)------------------------------
% 0.15/0.56 % (13436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (13436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (13436)Termination reason: Unknown
% 0.15/0.56 % (13436)Termination phase: shuffling
% 0.15/0.56
% 0.15/0.56 % (13436)Memory used [KB]: 1791
% 0.15/0.56 % (13436)Time elapsed: 0.004 s
% 0.15/0.56 % (13436)Instructions burned: 4 (million)
% 0.15/0.56 % (13436)------------------------------
% 0.15/0.56 % (13436)------------------------------
% 0.15/0.56 % (13440)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.57 % (13448)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.15/0.57 % (13423)Instruction limit reached!
% 0.15/0.57 % (13423)------------------------------
% 0.15/0.57 % (13423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (13423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (13423)Termination reason: Unknown
% 0.15/0.57 % (13423)Termination phase: Saturation
% 0.15/0.57
% 0.15/0.57 % (13423)Memory used [KB]: 6396
% 0.15/0.57 % (13423)Time elapsed: 0.177 s
% 0.15/0.57 % (13423)Instructions burned: 13 (million)
% 0.15/0.57 % (13423)------------------------------
% 0.15/0.57 % (13423)------------------------------
% 0.15/0.57 % (13421)Instruction limit reached!
% 0.15/0.57 % (13421)------------------------------
% 0.15/0.57 % (13421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (13421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (13421)Termination reason: Unknown
% 0.15/0.57 % (13421)Termination phase: shuffling
% 0.15/0.57
% 0.15/0.57 % (13421)Memory used [KB]: 1791
% 0.15/0.57 % (13421)Time elapsed: 0.005 s
% 0.15/0.57 % (13421)Instructions burned: 4 (million)
% 0.15/0.57 % (13421)------------------------------
% 0.15/0.57 % (13421)------------------------------
% 0.15/0.57 % (13447)Instruction limit reached!
% 0.15/0.57 % (13447)------------------------------
% 0.15/0.57 % (13447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (13447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (13447)Termination reason: Unknown
% 0.15/0.57 % (13447)Termination phase: Property scanning
% 0.15/0.57
% 0.15/0.57 % (13447)Memory used [KB]: 1918
% 0.15/0.57 % (13447)Time elapsed: 0.007 s
% 0.15/0.57 % (13447)Instructions burned: 10 (million)
% 0.15/0.57 % (13447)------------------------------
% 0.15/0.57 % (13447)------------------------------
% 0.15/0.57 % (13433)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.57 % (13433)Instruction limit reached!
% 0.15/0.57 % (13433)------------------------------
% 0.15/0.57 % (13433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (13433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (13433)Termination reason: Unknown
% 0.15/0.57 % (13433)Termination phase: Preprocessing 2
% 0.15/0.57
% 0.15/0.57 % (13433)Memory used [KB]: 1663
% 0.15/0.57 % (13433)Time elapsed: 0.005 s
% 0.15/0.57 % (13433)Instructions burned: 3 (million)
% 0.15/0.57 % (13433)------------------------------
% 0.15/0.57 % (13433)------------------------------
% 0.15/0.58 % (13431)Instruction limit reached!
% 0.15/0.58 % (13431)------------------------------
% 0.15/0.58 % (13431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (13431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (13431)Termination reason: Unknown
% 0.15/0.58 % (13431)Termination phase: Saturation
% 0.15/0.58
% 0.15/0.58 % (13431)Memory used [KB]: 2046
% 0.15/0.58 % (13431)Time elapsed: 0.011 s
% 0.15/0.58 % (13431)Instructions burned: 16 (million)
% 0.15/0.58 % (13431)------------------------------
% 0.15/0.58 % (13431)------------------------------
% 0.15/0.58 % (13442)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.58 % (13427)Instruction limit reached!
% 0.15/0.58 % (13427)------------------------------
% 0.15/0.58 % (13427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (13427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (13427)Termination reason: Unknown
% 0.15/0.58 % (13427)Termination phase: Saturation
% 0.15/0.58
% 0.15/0.58 % (13427)Memory used [KB]: 7291
% 0.15/0.58 % (13427)Time elapsed: 0.169 s
% 0.15/0.58 % (13427)Instructions burned: 49 (million)
% 0.15/0.58 % (13427)------------------------------
% 0.15/0.58 % (13427)------------------------------
% 1.97/0.59 % (13420)Instruction limit reached!
% 1.97/0.59 % (13420)------------------------------
% 1.97/0.59 % (13420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.59 % (13420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.59 % (13420)Termination reason: Unknown
% 1.97/0.59 % (13420)Termination phase: Saturation
% 1.97/0.59
% 1.97/0.59 % (13420)Memory used [KB]: 6524
% 1.97/0.59 % (13420)Time elapsed: 0.158 s
% 1.97/0.59 % (13420)Instructions burned: 13 (million)
% 1.97/0.59 % (13420)------------------------------
% 1.97/0.59 % (13420)------------------------------
% 1.97/0.60 % (13434)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.97/0.60 % (13443)Instruction limit reached!
% 1.97/0.60 % (13443)------------------------------
% 1.97/0.60 % (13443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.60 % (13443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.60 % (13443)Termination reason: Unknown
% 1.97/0.60 % (13443)Termination phase: Saturation
% 1.97/0.60
% 1.97/0.60 % (13443)Memory used [KB]: 6780
% 1.97/0.60 % (13443)Time elapsed: 0.181 s
% 1.97/0.60 % (13443)Instructions burned: 50 (million)
% 1.97/0.60 % (13443)------------------------------
% 1.97/0.60 % (13443)------------------------------
% 1.97/0.61 % (13434)Instruction limit reached!
% 1.97/0.61 % (13434)------------------------------
% 1.97/0.61 % (13434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (13434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (13434)Termination reason: Unknown
% 1.97/0.61 % (13434)Termination phase: Property scanning
% 1.97/0.61
% 1.97/0.61 % (13434)Memory used [KB]: 1918
% 1.97/0.61 % (13434)Time elapsed: 0.007 s
% 1.97/0.61 % (13434)Instructions burned: 7 (million)
% 1.97/0.61 % (13434)------------------------------
% 1.97/0.61 % (13434)------------------------------
% 1.97/0.61 % (13435)Instruction limit reached!
% 1.97/0.61 % (13435)------------------------------
% 1.97/0.61 % (13435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (13435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (13435)Termination reason: Unknown
% 1.97/0.61 % (13435)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (13435)Memory used [KB]: 7547
% 1.97/0.61 % (13435)Time elapsed: 0.187 s
% 1.97/0.61 % (13435)Instructions burned: 51 (million)
% 1.97/0.61 % (13435)------------------------------
% 1.97/0.61 % (13435)------------------------------
% 1.97/0.61 % (13428)Instruction limit reached!
% 1.97/0.61 % (13428)------------------------------
% 1.97/0.61 % (13428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (13428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (13428)Termination reason: Unknown
% 1.97/0.61 % (13428)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (13428)Memory used [KB]: 7036
% 1.97/0.61 % (13428)Time elapsed: 0.183 s
% 1.97/0.61 % (13428)Instructions burned: 34 (million)
% 1.97/0.61 % (13428)------------------------------
% 1.97/0.61 % (13428)------------------------------
% 1.97/0.61 % (13422)First to succeed.
% 1.97/0.61 % (13439)Instruction limit reached!
% 1.97/0.61 % (13439)------------------------------
% 1.97/0.61 % (13439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (13439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (13439)Termination reason: Unknown
% 1.97/0.61 % (13439)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (13439)Memory used [KB]: 6780
% 1.97/0.61 % (13439)Time elapsed: 0.222 s
% 1.97/0.61 % (13439)Instructions burned: 31 (million)
% 1.97/0.61 % (13439)------------------------------
% 1.97/0.61 % (13439)------------------------------
% 2.12/0.62 % (13422)Refutation found. Thanks to Tanya!
% 2.12/0.62 % SZS status Theorem for theBenchmark
% 2.12/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.62 % (13422)------------------------------
% 2.12/0.62 % (13422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.62 % (13422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.62 % (13422)Termination reason: Refutation
% 2.12/0.62
% 2.12/0.62 % (13422)Memory used [KB]: 6780
% 2.12/0.62 % (13422)Time elapsed: 0.220 s
% 2.12/0.62 % (13422)Instructions burned: 31 (million)
% 2.12/0.62 % (13422)------------------------------
% 2.12/0.62 % (13422)------------------------------
% 2.12/0.62 % (13418)Success in time 0.27 s
%------------------------------------------------------------------------------