TSTP Solution File: SEU395+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n020.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 18:33:36 EDT 2022
% Result : Theorem 2.92s 0.76s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 145 ( 13 unt; 0 def)
% Number of atoms : 894 ( 11 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 1160 ( 411 ~; 517 |; 199 &)
% ( 8 <=>; 23 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 149 ( 128 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1694,plain,
$false,
inference(avatar_sat_refutation,[],[f894,f895,f1373,f1678,f1693]) ).
fof(f1693,plain,
( ~ spl50_1
| spl50_2
| spl50_13 ),
inference(avatar_contradiction_clause,[],[f1692]) ).
fof(f1692,plain,
( $false
| ~ spl50_1
| spl50_2
| spl50_13 ),
inference(subsumption_resolution,[],[f1691,f892]) ).
fof(f892,plain,
( ~ is_a_convergence_point_of_set(sK43,sK44,sK45)
| spl50_2 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f891,plain,
( spl50_2
<=> is_a_convergence_point_of_set(sK43,sK44,sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).
fof(f1691,plain,
( is_a_convergence_point_of_set(sK43,sK44,sK45)
| ~ spl50_1
| spl50_13 ),
inference(forward_demodulation,[],[f1690,f1662]) ).
fof(f1662,plain,
sK44 = filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),
inference(subsumption_resolution,[],[f1661,f850]) ).
fof(f850,plain,
~ empty(sK44),
inference(cnf_transformation,[],[f490]) ).
fof(f490,plain,
( ~ empty_carrier(sK43)
& topological_space(sK43)
& proper_element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
& upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
& filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
& element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
& ~ empty(sK44)
& ( ~ is_a_convergence_point_of_set(sK43,sK44,sK45)
| ~ in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
& ( is_a_convergence_point_of_set(sK43,sK44,sK45)
| in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
& element(sK45,the_carrier(sK43))
& top_str(sK43) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44,sK45])],[f486,f489,f488,f487]) ).
fof(f487,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& topological_space(X0)
& ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& ~ empty(X1)
& ? [X2] :
( ( ~ 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))) )
& element(X2,the_carrier(X0)) ) )
& top_str(X0) )
=> ( ~ empty_carrier(sK43)
& topological_space(sK43)
& ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK43)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK43)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
& ~ empty(X1)
& ? [X2] :
( ( ~ is_a_convergence_point_of_set(sK43,X1,X2)
| ~ in(X2,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),X1))) )
& ( is_a_convergence_point_of_set(sK43,X1,X2)
| in(X2,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),X1))) )
& element(X2,the_carrier(sK43)) ) )
& top_str(sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f488,plain,
( ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK43)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK43)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
& ~ empty(X1)
& ? [X2] :
( ( ~ is_a_convergence_point_of_set(sK43,X1,X2)
| ~ in(X2,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),X1))) )
& ( is_a_convergence_point_of_set(sK43,X1,X2)
| in(X2,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),X1))) )
& element(X2,the_carrier(sK43)) ) )
=> ( proper_element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
& upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
& filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
& element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
& ~ empty(sK44)
& ? [X2] :
( ( ~ is_a_convergence_point_of_set(sK43,sK44,X2)
| ~ in(X2,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
& ( is_a_convergence_point_of_set(sK43,sK44,X2)
| in(X2,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
& element(X2,the_carrier(sK43)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f489,plain,
( ? [X2] :
( ( ~ is_a_convergence_point_of_set(sK43,sK44,X2)
| ~ in(X2,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
& ( is_a_convergence_point_of_set(sK43,sK44,X2)
| in(X2,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
& element(X2,the_carrier(sK43)) )
=> ( ( ~ is_a_convergence_point_of_set(sK43,sK44,sK45)
| ~ in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
& ( is_a_convergence_point_of_set(sK43,sK44,sK45)
| in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
& element(sK45,the_carrier(sK43)) ) ),
introduced(choice_axiom,[]) ).
fof(f486,plain,
? [X0] :
( ~ empty_carrier(X0)
& topological_space(X0)
& ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& ~ empty(X1)
& ? [X2] :
( ( ~ 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))) )
& element(X2,the_carrier(X0)) ) )
& top_str(X0) ),
inference(flattening,[],[f485]) ).
fof(f485,plain,
? [X0] :
( ~ empty_carrier(X0)
& topological_space(X0)
& ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& ~ empty(X1)
& ? [X2] :
( ( ~ 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))) )
& element(X2,the_carrier(X0)) ) )
& top_str(X0) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
? [X0] :
( ~ empty_carrier(X0)
& topological_space(X0)
& ? [X1] :
( proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& ~ empty(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) )
& element(X2,the_carrier(X0)) ) )
& top_str(X0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
? [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) )
& element(X2,the_carrier(X0)) )
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1)
& 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))))) )
& ~ 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)))
& ~ empty(X1)
& 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))))) )
=> ! [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) ) ) ) ),
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)))
& ~ empty(X1)
& 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))))) )
=> ! [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) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_yellow19) ).
fof(f1661,plain,
( empty(sK44)
| sK44 = filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)) ),
inference(subsumption_resolution,[],[f1660,f856]) ).
fof(f856,plain,
~ empty_carrier(sK43),
inference(cnf_transformation,[],[f490]) ).
fof(f1660,plain,
( empty_carrier(sK43)
| empty(sK44)
| sK44 = filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)) ),
inference(subsumption_resolution,[],[f1659,f852]) ).
fof(f852,plain,
filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43))),
inference(cnf_transformation,[],[f490]) ).
fof(f1659,plain,
( ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty_carrier(sK43)
| sK44 = filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| empty(sK44) ),
inference(subsumption_resolution,[],[f1658,f851]) ).
fof(f851,plain,
element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43))))),
inference(cnf_transformation,[],[f490]) ).
fof(f1658,plain,
( ~ element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
| empty(sK44)
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty_carrier(sK43)
| sK44 = filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)) ),
inference(subsumption_resolution,[],[f1657,f853]) ).
fof(f853,plain,
upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43))),
inference(cnf_transformation,[],[f490]) ).
fof(f1657,plain,
( ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
| sK44 = filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| empty_carrier(sK43)
| empty(sK44)
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43))) ),
inference(subsumption_resolution,[],[f1645,f903]) ).
fof(f903,plain,
one_sorted_str(sK43),
inference(resolution,[],[f620,f846]) ).
fof(f846,plain,
top_str(sK43),
inference(cnf_transformation,[],[f490]) ).
fof(f620,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,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(f1645,plain,
( ~ one_sorted_str(sK43)
| sK44 = filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| empty_carrier(sK43)
| ~ element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty(sK44) ),
inference(resolution,[],[f735,f854]) ).
fof(f854,plain,
proper_element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43))))),
inference(cnf_transformation,[],[f490]) ).
fof(f735,plain,
! [X0,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)))))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| empty(X1)
| filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0] :
( empty_carrier(X0)
| ! [X1] :
( ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| empty(X1)
| filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f300]) ).
fof(f300,plain,
! [X0] :
( ! [X1] :
( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = 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)))))
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| empty(X1)
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [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)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1)
& 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 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
fof(f1690,plain,
( is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ spl50_1
| spl50_13 ),
inference(subsumption_resolution,[],[f1689,f847]) ).
fof(f847,plain,
element(sK45,the_carrier(sK43)),
inference(cnf_transformation,[],[f490]) ).
fof(f1689,plain,
( ~ element(sK45,the_carrier(sK43))
| is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ spl50_1
| spl50_13 ),
inference(subsumption_resolution,[],[f1688,f855]) ).
fof(f855,plain,
topological_space(sK43),
inference(cnf_transformation,[],[f490]) ).
fof(f1688,plain,
( ~ topological_space(sK43)
| ~ element(sK45,the_carrier(sK43))
| is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ spl50_1
| spl50_13 ),
inference(subsumption_resolution,[],[f1687,f856]) ).
fof(f1687,plain,
( empty_carrier(sK43)
| ~ topological_space(sK43)
| ~ element(sK45,the_carrier(sK43))
| is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ spl50_1
| spl50_13 ),
inference(subsumption_resolution,[],[f1686,f1543]) ).
fof(f1543,plain,
( net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| spl50_13 ),
inference(subsumption_resolution,[],[f1542,f903]) ).
fof(f1542,plain,
( ~ one_sorted_str(sK43)
| net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| spl50_13 ),
inference(subsumption_resolution,[],[f1541,f856]) ).
fof(f1541,plain,
( empty_carrier(sK43)
| ~ one_sorted_str(sK43)
| net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| spl50_13 ),
inference(duplicate_literal_removal,[],[f1540]) ).
fof(f1540,plain,
( empty_carrier(sK43)
| net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| ~ one_sorted_str(sK43)
| ~ one_sorted_str(sK43)
| spl50_13 ),
inference(resolution,[],[f1533,f690]) ).
fof(f690,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,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(f1533,plain,
( ! [X15] :
( ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| empty_carrier(X15)
| net_str(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44),X15)
| ~ one_sorted_str(X15) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1532,f853]) ).
fof(f1532,plain,
( ! [X15] :
( ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ one_sorted_str(X15)
| empty_carrier(X15)
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| net_str(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44),X15) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1531,f1349]) ).
fof(f1349,plain,
( ~ empty(cast_as_carrier_subset(sK43))
| spl50_13 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1348,plain,
( spl50_13
<=> empty(cast_as_carrier_subset(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_13])]) ).
fof(f1531,plain,
! [X15] :
( net_str(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44),X15)
| empty(cast_as_carrier_subset(sK43))
| ~ one_sorted_str(X15)
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty_carrier(X15)
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15))) ),
inference(subsumption_resolution,[],[f1530,f850]) ).
fof(f1530,plain,
! [X15] :
( empty(sK44)
| empty_carrier(X15)
| empty(cast_as_carrier_subset(sK43))
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| net_str(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44),X15)
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ one_sorted_str(X15) ),
inference(subsumption_resolution,[],[f1522,f852]) ).
fof(f1522,plain,
! [X15] :
( ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| net_str(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44),X15)
| empty_carrier(X15)
| ~ one_sorted_str(X15)
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty(sK44)
| empty(cast_as_carrier_subset(sK43)) ),
inference(resolution,[],[f875,f851]) ).
fof(f875,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X0,powerset(the_carrier(X2)))
| empty_carrier(X2)
| empty(X1)
| ~ one_sorted_str(X2)
| ~ filtered_subset(X1,boole_POSet(X0))
| net_str(net_of_bool_filter(X2,X0,X1),X2)
| empty(X0) ),
inference(cnf_transformation,[],[f500]) ).
fof(f500,plain,
! [X0,X1,X2] :
( ~ filtered_subset(X1,boole_POSet(X0))
| empty_carrier(X2)
| ~ element(X0,powerset(the_carrier(X2)))
| ~ one_sorted_str(X2)
| ( strict_net_str(net_of_bool_filter(X2,X0,X1),X2)
& ~ empty_carrier(net_of_bool_filter(X2,X0,X1))
& net_str(net_of_bool_filter(X2,X0,X1),X2) )
| empty(X0)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| empty(X1) ),
inference(rectify,[],[f234]) ).
fof(f234,plain,
! [X1,X0,X2] :
( ~ filtered_subset(X0,boole_POSet(X1))
| empty_carrier(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ one_sorted_str(X2)
| ( strict_net_str(net_of_bool_filter(X2,X1,X0),X2)
& ~ empty_carrier(net_of_bool_filter(X2,X1,X0))
& net_str(net_of_bool_filter(X2,X1,X0),X2) )
| empty(X1)
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| empty(X0) ),
inference(flattening,[],[f233]) ).
fof(f233,plain,
! [X0,X2,X1] :
( ( strict_net_str(net_of_bool_filter(X2,X1,X0),X2)
& ~ empty_carrier(net_of_bool_filter(X2,X1,X0))
& net_str(net_of_bool_filter(X2,X1,X0),X2) )
| empty_carrier(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| empty(X1)
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| empty(X0)
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ one_sorted_str(X2) ),
inference(ennf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X2,X1] :
( ( ~ empty_carrier(X2)
& element(X1,powerset(the_carrier(X2)))
& ~ empty(X1)
& filtered_subset(X0,boole_POSet(X1))
& element(X0,powerset(the_carrier(boole_POSet(X1))))
& ~ empty(X0)
& upper_relstr_subset(X0,boole_POSet(X1))
& one_sorted_str(X2) )
=> ( strict_net_str(net_of_bool_filter(X2,X1,X0),X2)
& ~ empty_carrier(net_of_bool_filter(X2,X1,X0))
& net_str(net_of_bool_filter(X2,X1,X0),X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X2,X1,X0] :
( ( ~ empty_carrier(X0)
& filtered_subset(X2,boole_POSet(X1))
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X2,boole_POSet(X1))
& ~ empty(X2)
& one_sorted_str(X0)
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ( strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& net_str(net_of_bool_filter(X0,X1,X2),X0)
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow19) ).
fof(f1686,plain,
( ~ net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| empty_carrier(sK43)
| ~ topological_space(sK43)
| is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ element(sK45,the_carrier(sK43))
| ~ spl50_1
| spl50_13 ),
inference(subsumption_resolution,[],[f1685,f846]) ).
fof(f1685,plain,
( ~ top_str(sK43)
| empty_carrier(sK43)
| ~ net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| ~ topological_space(sK43)
| ~ element(sK45,the_carrier(sK43))
| is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ spl50_1
| spl50_13 ),
inference(subsumption_resolution,[],[f1684,f1485]) ).
fof(f1485,plain,
( ~ empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| spl50_13 ),
inference(subsumption_resolution,[],[f1484,f903]) ).
fof(f1484,plain,
( ~ one_sorted_str(sK43)
| ~ empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| spl50_13 ),
inference(subsumption_resolution,[],[f1483,f856]) ).
fof(f1483,plain,
( empty_carrier(sK43)
| ~ empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ one_sorted_str(sK43)
| spl50_13 ),
inference(duplicate_literal_removal,[],[f1482]) ).
fof(f1482,plain,
( ~ one_sorted_str(sK43)
| empty_carrier(sK43)
| ~ empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ one_sorted_str(sK43)
| spl50_13 ),
inference(resolution,[],[f1470,f690]) ).
fof(f1470,plain,
( ! [X15] :
( ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| ~ one_sorted_str(X15)
| empty_carrier(X15)
| ~ empty_carrier(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44)) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1469,f853]) ).
fof(f1469,plain,
( ! [X15] :
( ~ one_sorted_str(X15)
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty_carrier(X15)
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| ~ empty_carrier(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44)) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1468,f850]) ).
fof(f1468,plain,
( ! [X15] :
( ~ one_sorted_str(X15)
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| empty(sK44)
| ~ empty_carrier(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44))
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty_carrier(X15) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1467,f1349]) ).
fof(f1467,plain,
! [X15] :
( ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| empty_carrier(X15)
| empty(cast_as_carrier_subset(sK43))
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ one_sorted_str(X15)
| ~ empty_carrier(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44))
| empty(sK44) ),
inference(subsumption_resolution,[],[f1464,f852]) ).
fof(f1464,plain,
! [X15] :
( ~ empty_carrier(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44))
| empty_carrier(X15)
| ~ one_sorted_str(X15)
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty(cast_as_carrier_subset(sK43))
| empty(sK44)
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15))) ),
inference(resolution,[],[f876,f851]) ).
fof(f876,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ element(X0,powerset(the_carrier(X2)))
| ~ empty_carrier(net_of_bool_filter(X2,X0,X1))
| ~ one_sorted_str(X2)
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| empty_carrier(X2)
| ~ filtered_subset(X1,boole_POSet(X0))
| empty(X0)
| empty(X1) ),
inference(cnf_transformation,[],[f500]) ).
fof(f1684,plain,
( empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ top_str(sK43)
| empty_carrier(sK43)
| ~ topological_space(sK43)
| ~ net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ element(sK45,the_carrier(sK43))
| ~ spl50_1
| spl50_13 ),
inference(subsumption_resolution,[],[f1683,f1456]) ).
fof(f1456,plain,
( transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| spl50_13 ),
inference(subsumption_resolution,[],[f1455,f856]) ).
fof(f1455,plain,
( transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| empty_carrier(sK43)
| spl50_13 ),
inference(subsumption_resolution,[],[f1454,f903]) ).
fof(f1454,plain,
( transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ one_sorted_str(sK43)
| empty_carrier(sK43)
| spl50_13 ),
inference(duplicate_literal_removal,[],[f1453]) ).
fof(f1453,plain,
( ~ one_sorted_str(sK43)
| empty_carrier(sK43)
| ~ one_sorted_str(sK43)
| transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| spl50_13 ),
inference(resolution,[],[f1434,f690]) ).
fof(f1434,plain,
( ! [X15] :
( ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| ~ one_sorted_str(X15)
| transitive_relstr(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44))
| empty_carrier(X15) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1433,f852]) ).
fof(f1433,plain,
( ! [X15] :
( ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| transitive_relstr(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44))
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ one_sorted_str(X15)
| empty_carrier(X15) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1432,f853]) ).
fof(f1432,plain,
( ! [X15] :
( transitive_relstr(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44))
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty_carrier(X15)
| ~ one_sorted_str(X15)
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15))) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1431,f1349]) ).
fof(f1431,plain,
! [X15] :
( empty(cast_as_carrier_subset(sK43))
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| transitive_relstr(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44))
| empty_carrier(X15)
| ~ one_sorted_str(X15)
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43))) ),
inference(subsumption_resolution,[],[f1429,f850]) ).
fof(f1429,plain,
! [X15] :
( empty_carrier(X15)
| transitive_relstr(net_of_bool_filter(X15,cast_as_carrier_subset(sK43),sK44))
| empty(sK44)
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X15)))
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ one_sorted_str(X15)
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty(cast_as_carrier_subset(sK43)) ),
inference(resolution,[],[f777,f851]) ).
fof(f777,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(the_carrier(boole_POSet(X2))))
| ~ upper_relstr_subset(X0,boole_POSet(X2))
| transitive_relstr(net_of_bool_filter(X1,X2,X0))
| ~ filtered_subset(X0,boole_POSet(X2))
| empty(X0)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f454]) ).
fof(f454,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(the_carrier(boole_POSet(X2))))
| ~ upper_relstr_subset(X0,boole_POSet(X2))
| ~ filtered_subset(X0,boole_POSet(X2))
| empty(X0)
| ~ element(X2,powerset(the_carrier(X1)))
| ( ~ empty_carrier(net_of_bool_filter(X1,X2,X0))
& transitive_relstr(net_of_bool_filter(X1,X2,X0))
& strict_net_str(net_of_bool_filter(X1,X2,X0),X1)
& reflexive_relstr(net_of_bool_filter(X1,X2,X0)) )
| empty_carrier(X1)
| empty(X2)
| ~ one_sorted_str(X1) ),
inference(rectify,[],[f229]) ).
fof(f229,plain,
! [X1,X2,X0] :
( ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ filtered_subset(X1,boole_POSet(X0))
| empty(X1)
| ~ element(X0,powerset(the_carrier(X2)))
| ( ~ empty_carrier(net_of_bool_filter(X2,X0,X1))
& transitive_relstr(net_of_bool_filter(X2,X0,X1))
& strict_net_str(net_of_bool_filter(X2,X0,X1),X2)
& reflexive_relstr(net_of_bool_filter(X2,X0,X1)) )
| empty_carrier(X2)
| empty(X0)
| ~ one_sorted_str(X2) ),
inference(flattening,[],[f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ( ~ empty_carrier(net_of_bool_filter(X2,X0,X1))
& transitive_relstr(net_of_bool_filter(X2,X0,X1))
& strict_net_str(net_of_bool_filter(X2,X0,X1),X2)
& reflexive_relstr(net_of_bool_filter(X2,X0,X1)) )
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| empty(X0)
| empty(X1)
| ~ element(X0,powerset(the_carrier(X2)))
| empty_carrier(X2)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ one_sorted_str(X2)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(ennf_transformation,[],[f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
& ~ empty(X0)
& ~ empty(X1)
& element(X0,powerset(the_carrier(X2)))
& ~ empty_carrier(X2)
& filtered_subset(X1,boole_POSet(X0))
& one_sorted_str(X2)
& element(X1,powerset(the_carrier(boole_POSet(X0)))) )
=> ( ~ empty_carrier(net_of_bool_filter(X2,X0,X1))
& transitive_relstr(net_of_bool_filter(X2,X0,X1))
& strict_net_str(net_of_bool_filter(X2,X0,X1),X2)
& reflexive_relstr(net_of_bool_filter(X2,X0,X1)) ) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X1,X2,X0] :
( ( element(X1,powerset(the_carrier(X0)))
& filtered_subset(X2,boole_POSet(X1))
& ~ empty_carrier(X0)
& ~ empty(X1)
& one_sorted_str(X0)
& element(X2,powerset(the_carrier(boole_POSet(X1))))
& upper_relstr_subset(X2,boole_POSet(X1))
& ~ empty(X2) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& transitive_relstr(net_of_bool_filter(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_yellow19) ).
fof(f1683,plain,
( is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ top_str(sK43)
| empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ element(sK45,the_carrier(sK43))
| ~ net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| ~ topological_space(sK43)
| empty_carrier(sK43)
| ~ spl50_1
| spl50_13 ),
inference(subsumption_resolution,[],[f1679,f1631]) ).
fof(f1631,plain,
( directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| spl50_13 ),
inference(subsumption_resolution,[],[f1630,f903]) ).
fof(f1630,plain,
( ~ one_sorted_str(sK43)
| directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| spl50_13 ),
inference(subsumption_resolution,[],[f1629,f856]) ).
fof(f1629,plain,
( empty_carrier(sK43)
| directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ one_sorted_str(sK43)
| spl50_13 ),
inference(duplicate_literal_removal,[],[f1628]) ).
fof(f1628,plain,
( empty_carrier(sK43)
| ~ one_sorted_str(sK43)
| directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ one_sorted_str(sK43)
| spl50_13 ),
inference(resolution,[],[f1613,f690]) ).
fof(f1613,plain,
( ! [X5] :
( ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X5)))
| directed_relstr(net_of_bool_filter(X5,cast_as_carrier_subset(sK43),sK44))
| empty_carrier(X5)
| ~ one_sorted_str(X5) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1612,f850]) ).
fof(f1612,plain,
( ! [X5] :
( empty(sK44)
| directed_relstr(net_of_bool_filter(X5,cast_as_carrier_subset(sK43),sK44))
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X5))) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1611,f852]) ).
fof(f1611,plain,
( ! [X5] :
( ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty(sK44)
| directed_relstr(net_of_bool_filter(X5,cast_as_carrier_subset(sK43),sK44))
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X5)))
| empty_carrier(X5)
| ~ one_sorted_str(X5) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1610,f851]) ).
fof(f1610,plain,
( ! [X5] :
( ~ element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
| directed_relstr(net_of_bool_filter(X5,cast_as_carrier_subset(sK43),sK44))
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X5)))
| empty_carrier(X5)
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ one_sorted_str(X5)
| empty(sK44) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1609,f853]) ).
fof(f1609,plain,
( ! [X5] :
( ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X5)))
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| ~ element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43)))))
| directed_relstr(net_of_bool_filter(X5,cast_as_carrier_subset(sK43),sK44))
| empty(sK44) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1608,f1349]) ).
fof(f1608,plain,
! [X5] :
( empty(cast_as_carrier_subset(sK43))
| empty_carrier(X5)
| ~ element(cast_as_carrier_subset(sK43),powerset(the_carrier(X5)))
| directed_relstr(net_of_bool_filter(X5,cast_as_carrier_subset(sK43),sK44))
| ~ filtered_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| empty(sK44)
| ~ upper_relstr_subset(sK44,boole_POSet(cast_as_carrier_subset(sK43)))
| ~ one_sorted_str(X5)
| ~ element(sK44,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK43))))) ),
inference(resolution,[],[f622,f854]) ).
fof(f622,plain,
! [X2,X0,X1] :
( ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ element(X0,powerset(the_carrier(X2)))
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ one_sorted_str(X2)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| empty(X1)
| directed_relstr(net_of_bool_filter(X2,X0,X1))
| empty_carrier(X2)
| empty(X0) ),
inference(cnf_transformation,[],[f410]) ).
fof(f410,plain,
! [X0,X1,X2] :
( ~ filtered_subset(X1,boole_POSet(X0))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ one_sorted_str(X2)
| ( reflexive_relstr(net_of_bool_filter(X2,X0,X1))
& ~ empty_carrier(net_of_bool_filter(X2,X0,X1))
& strict_net_str(net_of_bool_filter(X2,X0,X1),X2)
& directed_relstr(net_of_bool_filter(X2,X0,X1))
& transitive_relstr(net_of_bool_filter(X2,X0,X1)) )
| ~ element(X0,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty_carrier(X2)
| empty(X1)
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| empty(X0) ),
inference(rectify,[],[f259]) ).
fof(f259,plain,
! [X2,X1,X0] :
( ~ filtered_subset(X1,boole_POSet(X2))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X2))))
| ~ one_sorted_str(X0)
| ( reflexive_relstr(net_of_bool_filter(X0,X2,X1))
& ~ empty_carrier(net_of_bool_filter(X0,X2,X1))
& strict_net_str(net_of_bool_filter(X0,X2,X1),X0)
& directed_relstr(net_of_bool_filter(X0,X2,X1))
& transitive_relstr(net_of_bool_filter(X0,X2,X1)) )
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(boole_POSet(X2))))
| empty_carrier(X0)
| empty(X1)
| ~ upper_relstr_subset(X1,boole_POSet(X2))
| empty(X2) ),
inference(flattening,[],[f258]) ).
fof(f258,plain,
! [X1,X0,X2] :
( ( reflexive_relstr(net_of_bool_filter(X0,X2,X1))
& ~ empty_carrier(net_of_bool_filter(X0,X2,X1))
& strict_net_str(net_of_bool_filter(X0,X2,X1),X0)
& directed_relstr(net_of_bool_filter(X0,X2,X1))
& transitive_relstr(net_of_bool_filter(X0,X2,X1)) )
| ~ one_sorted_str(X0)
| empty(X1)
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X2))))
| empty_carrier(X0)
| ~ filtered_subset(X1,boole_POSet(X2))
| ~ upper_relstr_subset(X1,boole_POSet(X2))
| ~ element(X1,powerset(the_carrier(boole_POSet(X2))))
| ~ element(X2,powerset(the_carrier(X0)))
| empty(X2) ),
inference(ennf_transformation,[],[f155]) ).
fof(f155,plain,
! [X1,X0,X2] :
( ( one_sorted_str(X0)
& ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(X2))))
& ~ empty_carrier(X0)
& filtered_subset(X1,boole_POSet(X2))
& upper_relstr_subset(X1,boole_POSet(X2))
& element(X1,powerset(the_carrier(boole_POSet(X2))))
& element(X2,powerset(the_carrier(X0)))
& ~ empty(X2) )
=> ( reflexive_relstr(net_of_bool_filter(X0,X2,X1))
& ~ empty_carrier(net_of_bool_filter(X0,X2,X1))
& strict_net_str(net_of_bool_filter(X0,X2,X1),X0)
& directed_relstr(net_of_bool_filter(X0,X2,X1))
& transitive_relstr(net_of_bool_filter(X0,X2,X1)) ) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X0,X2,X1] :
( ( element(X2,powerset(the_carrier(boole_POSet(X1))))
& ~ empty(X1)
& one_sorted_str(X0)
& upper_relstr_subset(X2,boole_POSet(X1))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& element(X1,powerset(the_carrier(X0)))
& ~ empty_carrier(X0) )
=> ( transitive_relstr(net_of_bool_filter(X0,X1,X2))
& ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& directed_relstr(net_of_bool_filter(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow19) ).
fof(f1679,plain,
( ~ directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| is_a_convergence_point_of_set(sK43,filter_of_net_str(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)),sK45)
| ~ element(sK45,the_carrier(sK43))
| ~ transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| ~ topological_space(sK43)
| ~ top_str(sK43)
| empty_carrier(sK43)
| empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ spl50_1 ),
inference(resolution,[],[f889,f843]) ).
fof(f843,plain,
! [X2,X0,X1] :
( ~ in(X2,lim_points_of_net(X0,X1))
| ~ directed_relstr(X1)
| ~ element(X2,the_carrier(X0))
| is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
| ~ top_str(X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f484]) ).
fof(f484,plain,
! [X0] :
( ~ top_str(X0)
| empty_carrier(X0)
| ~ topological_space(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)) )
& ( 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)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1) ) ),
inference(nnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0] :
( ~ top_str(X0)
| empty_carrier(X0)
| ~ topological_space(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)) ) )
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1) ) ),
inference(flattening,[],[f292]) ).
fof(f292,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)) ) )
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( transitive_relstr(X1)
& directed_relstr(X1)
& ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [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(f889,plain,
( in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ spl50_1 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl50_1
<=> in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).
fof(f1678,plain,
( spl50_1
| ~ spl50_2
| spl50_13 ),
inference(avatar_contradiction_clause,[],[f1677]) ).
fof(f1677,plain,
( $false
| spl50_1
| ~ spl50_2
| spl50_13 ),
inference(subsumption_resolution,[],[f1676,f847]) ).
fof(f1676,plain,
( ~ element(sK45,the_carrier(sK43))
| spl50_1
| ~ spl50_2
| spl50_13 ),
inference(subsumption_resolution,[],[f1675,f888]) ).
fof(f888,plain,
( ~ in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| spl50_1 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f1675,plain,
( in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ element(sK45,the_carrier(sK43))
| ~ spl50_2
| spl50_13 ),
inference(resolution,[],[f1674,f893]) ).
fof(f893,plain,
( is_a_convergence_point_of_set(sK43,sK44,sK45)
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1674,plain,
( ! [X0] :
( ~ is_a_convergence_point_of_set(sK43,sK44,X0)
| ~ element(X0,the_carrier(sK43))
| in(X0,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1673,f1631]) ).
fof(f1673,plain,
( ! [X0] :
( ~ is_a_convergence_point_of_set(sK43,sK44,X0)
| in(X0,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ element(X0,the_carrier(sK43))
| ~ directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1672,f846]) ).
fof(f1672,plain,
( ! [X0] :
( in(X0,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ top_str(sK43)
| ~ element(X0,the_carrier(sK43))
| ~ is_a_convergence_point_of_set(sK43,sK44,X0)
| ~ directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1671,f1456]) ).
fof(f1671,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK43))
| ~ transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| in(X0,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ top_str(sK43)
| ~ is_a_convergence_point_of_set(sK43,sK44,X0) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1670,f1485]) ).
fof(f1670,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK43))
| empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| in(X0,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ is_a_convergence_point_of_set(sK43,sK44,X0)
| ~ top_str(sK43) )
| spl50_13 ),
inference(subsumption_resolution,[],[f1669,f1543]) ).
fof(f1669,plain,
! [X0] :
( in(X0,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| ~ transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ element(X0,the_carrier(sK43))
| ~ is_a_convergence_point_of_set(sK43,sK44,X0)
| ~ top_str(sK43)
| empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)) ),
inference(subsumption_resolution,[],[f1668,f855]) ).
fof(f1668,plain,
! [X0] :
( ~ is_a_convergence_point_of_set(sK43,sK44,X0)
| in(X0,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ topological_space(sK43)
| ~ element(X0,the_carrier(sK43))
| ~ net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43)
| ~ directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ top_str(sK43) ),
inference(subsumption_resolution,[],[f1663,f856]) ).
fof(f1663,plain,
! [X0] :
( empty_carrier(sK43)
| in(X0,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ element(X0,the_carrier(sK43))
| empty_carrier(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ topological_space(sK43)
| ~ is_a_convergence_point_of_set(sK43,sK44,X0)
| ~ top_str(sK43)
| ~ directed_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ transitive_relstr(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))
| ~ net_str(net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44),sK43) ),
inference(superposition,[],[f842,f1662]) ).
fof(f842,plain,
! [X2,X0,X1] :
( ~ is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
| ~ element(X2,the_carrier(X0))
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ top_str(X0)
| ~ net_str(X1,X0)
| ~ topological_space(X0)
| in(X2,lim_points_of_net(X0,X1)) ),
inference(cnf_transformation,[],[f484]) ).
fof(f1373,plain,
~ spl50_13,
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1372,plain,
( $false
| ~ spl50_13 ),
inference(subsumption_resolution,[],[f1371,f903]) ).
fof(f1371,plain,
( ~ one_sorted_str(sK43)
| ~ spl50_13 ),
inference(subsumption_resolution,[],[f1368,f856]) ).
fof(f1368,plain,
( empty_carrier(sK43)
| ~ one_sorted_str(sK43)
| ~ spl50_13 ),
inference(resolution,[],[f1350,f681]) ).
fof(f681,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(cast_as_carrier_subset(X0)) ),
inference(flattening,[],[f324]) ).
fof(f324,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(f1350,plain,
( empty(cast_as_carrier_subset(sK43))
| ~ spl50_13 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f895,plain,
( ~ spl50_2
| ~ spl50_1 ),
inference(avatar_split_clause,[],[f849,f887,f891]) ).
fof(f849,plain,
( ~ in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44)))
| ~ is_a_convergence_point_of_set(sK43,sK44,sK45) ),
inference(cnf_transformation,[],[f490]) ).
fof(f894,plain,
( spl50_1
| spl50_2 ),
inference(avatar_split_clause,[],[f848,f891,f887]) ).
fof(f848,plain,
( is_a_convergence_point_of_set(sK43,sK44,sK45)
| in(sK45,lim_points_of_net(sK43,net_of_bool_filter(sK43,cast_as_carrier_subset(sK43),sK44))) ),
inference(cnf_transformation,[],[f490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 15:26:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.54 % (10937)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.55 % (10927)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.55 % (10945)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.32/0.56 % (10929)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.56 % (10941)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.32/0.56 % (10924)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.56 % (10921)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.57 % (10923)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.32/0.57 % (10933)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.67/0.57 % (10919)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.67/0.58 % (10926)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.67/0.58 % (10940)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.67/0.58 % (10926)Instruction limit reached!
% 1.67/0.58 % (10926)------------------------------
% 1.67/0.58 % (10926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 % (10926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (10926)Termination reason: Unknown
% 1.67/0.58 % (10926)Termination phase: Unused predicate definition removal
% 1.67/0.58
% 1.67/0.58 % (10926)Memory used [KB]: 1151
% 1.67/0.58 % (10926)Time elapsed: 0.003 s
% 1.67/0.58 % (10926)Instructions burned: 3 (million)
% 1.67/0.58 % (10926)------------------------------
% 1.67/0.58 % (10926)------------------------------
% 1.67/0.58 % (10925)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.67/0.58 % (10918)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.67/0.58 % (10925)Instruction limit reached!
% 1.67/0.58 % (10925)------------------------------
% 1.67/0.58 % (10925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 % (10925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (10925)Termination reason: Unknown
% 1.67/0.58 % (10925)Termination phase: Preprocessing 3
% 1.67/0.58
% 1.67/0.58 % (10925)Memory used [KB]: 1279
% 1.67/0.58 % (10925)Time elapsed: 0.007 s
% 1.67/0.58 % (10925)Instructions burned: 7 (million)
% 1.67/0.58 % (10925)------------------------------
% 1.67/0.58 % (10925)------------------------------
% 1.67/0.58 % (10922)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.59 % (10947)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.67/0.59 % (10928)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.67/0.59 % (10946)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.67/0.59 % (10942)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.67/0.59 % (10938)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.67/0.60 % (10935)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.67/0.60 % (10939)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.67/0.60 % (10930)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.67/0.61 % (10934)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.67/0.61 % (10931)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.67/0.61 % (10943)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.67/0.62 % (10932)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.67/0.62 % (10936)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.67/0.62 % (10920)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.67/0.63 % (10919)Refutation not found, incomplete strategy% (10919)------------------------------
% 1.67/0.63 % (10919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.63 % (10919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.63 % (10919)Termination reason: Refutation not found, incomplete strategy
% 1.67/0.63
% 1.67/0.63 % (10919)Memory used [KB]: 6268
% 1.67/0.63 % (10919)Time elapsed: 0.208 s
% 1.67/0.63 % (10919)Instructions burned: 25 (million)
% 1.67/0.63 % (10919)------------------------------
% 1.67/0.63 % (10919)------------------------------
% 1.67/0.65 TRYING [1]
% 1.67/0.65 TRYING [2]
% 2.27/0.65 % (10944)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.27/0.67 TRYING [1]
% 2.27/0.68 % (10924)Instruction limit reached!
% 2.27/0.68 % (10924)------------------------------
% 2.27/0.68 % (10924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.68 % (10924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.68 % (10924)Termination reason: Unknown
% 2.27/0.68 % (10924)Termination phase: Finite model building SAT solving
% 2.27/0.68
% 2.27/0.68 % (10924)Memory used [KB]: 7419
% 2.27/0.68 % (10924)Time elapsed: 0.243 s
% 2.27/0.68 % (10924)Instructions burned: 52 (million)
% 2.27/0.68 % (10924)------------------------------
% 2.27/0.68 % (10924)------------------------------
% 2.49/0.68 % (10921)Instruction limit reached!
% 2.49/0.68 % (10921)------------------------------
% 2.49/0.68 % (10921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.68 % (10923)Instruction limit reached!
% 2.49/0.68 % (10923)------------------------------
% 2.49/0.68 % (10923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.68 % (10923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.68 % (10923)Termination reason: Unknown
% 2.49/0.68 % (10923)Termination phase: Saturation
% 2.49/0.68
% 2.49/0.68 % (10923)Memory used [KB]: 6396
% 2.49/0.68 % (10923)Time elapsed: 0.273 s
% 2.49/0.68 % (10923)Instructions burned: 48 (million)
% 2.49/0.68 % (10923)------------------------------
% 2.49/0.68 % (10923)------------------------------
% 2.49/0.68 % (10921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.68 % (10921)Termination reason: Unknown
% 2.49/0.68 % (10921)Termination phase: Saturation
% 2.49/0.68
% 2.49/0.68 % (10921)Memory used [KB]: 6908
% 2.49/0.68 % (10921)Time elapsed: 0.256 s
% 2.49/0.68 % (10921)Instructions burned: 51 (million)
% 2.49/0.68 % (10921)------------------------------
% 2.49/0.68 % (10921)------------------------------
% 2.49/0.69 % (10927)Instruction limit reached!
% 2.49/0.69 % (10927)------------------------------
% 2.49/0.69 % (10927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.69 % (10927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.69 % (10927)Termination reason: Unknown
% 2.49/0.69 % (10927)Termination phase: Saturation
% 2.49/0.69
% 2.49/0.69 % (10927)Memory used [KB]: 2430
% 2.49/0.69 % (10927)Time elapsed: 0.277 s
% 2.49/0.69 % (10927)Instructions burned: 51 (million)
% 2.49/0.69 % (10927)------------------------------
% 2.49/0.69 % (10927)------------------------------
% 2.49/0.69 TRYING [2]
% 2.49/0.71 TRYING [1]
% 2.49/0.72 TRYING [2]
% 2.49/0.72 % (10935)Instruction limit reached!
% 2.49/0.72 % (10935)------------------------------
% 2.49/0.72 % (10935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.73 % (10935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.73 % (10935)Termination reason: Unknown
% 2.76/0.73 % (10935)Termination phase: Finite model building constraint generation
% 2.76/0.73
% 2.76/0.73 % (10935)Memory used [KB]: 7547
% 2.76/0.73 % (10935)Time elapsed: 0.308 s
% 2.76/0.73 % (10935)Instructions burned: 60 (million)
% 2.76/0.73 % (10935)------------------------------
% 2.76/0.73 % (10935)------------------------------
% 2.76/0.74 % (10933)Instruction limit reached!
% 2.76/0.74 % (10933)------------------------------
% 2.76/0.74 % (10933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.74 % (10933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.74 % (10933)Termination reason: Unknown
% 2.76/0.74 % (10933)Termination phase: Saturation
% 2.76/0.74
% 2.76/0.74 % (10933)Memory used [KB]: 2174
% 2.76/0.74 % (10933)Time elapsed: 0.274 s
% 2.76/0.74 % (10933)Instructions burned: 75 (million)
% 2.76/0.74 % (10933)------------------------------
% 2.76/0.74 % (10933)------------------------------
% 2.92/0.76 % (10938)First to succeed.
% 2.92/0.76 TRYING [3]
% 2.92/0.76 % (10938)Refutation found. Thanks to Tanya!
% 2.92/0.76 % SZS status Theorem for theBenchmark
% 2.92/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.92/0.76 % (10938)------------------------------
% 2.92/0.76 % (10938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.76 % (10938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.76 % (10938)Termination reason: Refutation
% 2.92/0.76
% 2.92/0.76 % (10938)Memory used [KB]: 6908
% 2.92/0.76 % (10938)Time elapsed: 0.312 s
% 2.92/0.76 % (10938)Instructions burned: 65 (million)
% 2.92/0.76 % (10938)------------------------------
% 2.92/0.76 % (10938)------------------------------
% 2.92/0.76 % (10917)Success in time 0.398 s
%------------------------------------------------------------------------------