%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU380+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:37 PM UTC 2026
% Result : Theorem 50.48s 16.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 25
% Syntax : Number of formulae : 244 ( 54 unt; 2 def)
% Number of atoms : 1447 ( 74 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 1991 ( 788 ~; 926 |; 216 &)
% ( 17 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 4 con; 0-5 aty)
% Number of variables : 519 ( 479 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( related(X1,X3,X4)
=> in(apply_netmap(X0,X1,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_waybel_0) ).
fof(f9,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X0) )
=> ( subnet(X2,X0,X1)
<=> ? [X3] :
( function(X3)
& quasi_total(X3,the_carrier(X2),the_carrier(X1))
& relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
& the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
& ! [X4] :
( element(X4,the_carrier(X1))
=> ? [X5] :
( element(X5,the_carrier(X2))
& ! [X6] :
( element(X6,the_carrier(X2))
=> ( related(X2,X5,X6)
=> related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6)) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_yellow_6) ).
fof(f10,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( X2 = lim_points_of_net(X0,X1)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
<=> ! [X4] :
( point_neighbourhood(X4,X0,X3)
=> is_eventually_in(X0,X1,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d18_yellow_6) ).
fof(f11,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f12,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_waybel_0) ).
fof(f13,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> element(lim_points_of_net(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_yellow_6) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty_carrier(X1)
& one_sorted_str(X1)
& function(X2)
& quasi_total(X2,the_carrier(X0),the_carrier(X1))
& relation_of2(X2,the_carrier(X0),the_carrier(X1))
& element(X3,the_carrier(X0)) )
=> element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel_0) ).
fof(f23,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f24,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f26,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f31,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( subnet(X2,X0,X1)
=> ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_yellow_6) ).
fof(f33,axiom,
! [X0,X1] :
( ( one_sorted_str(X0)
& net_str(X1,X0) )
=> ( function(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_waybel_0) ).
fof(f45,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ( ~ empty(the_mapping(X0,X1))
& relation(the_mapping(X0,X1))
& function(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_yellow_6) ).
fof(f47,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f49,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f64,axiom,
! [X0,X1,X2,X3] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty_carrier(X1)
& one_sorted_str(X1)
& function(X2)
& quasi_total(X2,the_carrier(X0),the_carrier(X1))
& relation_of2(X2,the_carrier(X0),the_carrier(X1))
& element(X3,the_carrier(X0)) )
=> apply_on_structs(X0,X1,X2,X3) = apply(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_waybel_0) ).
fof(f65,axiom,
! [X0,X1,X2,X3] :
( ( ~ empty(X0)
& ~ empty_carrier(X1)
& rel_str(X1)
& function(X2)
& quasi_total(X2,X0,the_carrier(X1))
& relation_of2(X2,X0,the_carrier(X1))
& element(X3,X0) )
=> apply_on_set_and_struct(X0,X1,X2,X3) = apply(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_yellow_6) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ empty(X1)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2(X3,X0,X1)
& function(X4)
& quasi_total(X4,X1,X2)
& relation_of2(X4,X1,X2) )
=> function_of_composition(X0,X1,X2,X3,X4) = relation_composition(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f67,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f70,axiom,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ! [X4] :
( ( relation(X4)
& function(X4) )
=> ( in(X2,X0)
=> ( X1 = empty_set
| apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
fof(f71,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f73,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( subnet(X2,X0,X1)
=> subset(lim_points_of_net(X0,X1),lim_points_of_net(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_yellow_6) ).
fof(f74,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( subnet(X2,X0,X1)
=> subset(lim_points_of_net(X0,X1),lim_points_of_net(X0,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) ) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) ) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subnet(X2,X0,X1)
<=> ? [X3] :
( function(X3)
& quasi_total(X3,the_carrier(X2),the_carrier(X1))
& relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
& the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
& ! [X4] :
( ? [X5] :
( element(X5,the_carrier(X2))
& ! [X6] :
( related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6))
| ~ related(X2,X5,X6)
| ~ element(X6,the_carrier(X2)) ) )
| ~ element(X4,the_carrier(X1)) ) ) )
| empty_carrier(X2)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X0) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subnet(X2,X0,X1)
<=> ? [X3] :
( function(X3)
& quasi_total(X3,the_carrier(X2),the_carrier(X1))
& relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
& the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
& ! [X4] :
( ? [X5] :
( element(X5,the_carrier(X2))
& ! [X6] :
( related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6))
| ~ related(X2,X5,X6)
| ~ element(X6,the_carrier(X2)) ) )
| ~ element(X4,the_carrier(X1)) ) ) )
| empty_carrier(X2)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X0) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = lim_points_of_net(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) ) )
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = lim_points_of_net(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) ) )
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0,X1] :
( element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f105,plain,
! [X0,X1] :
( element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ element(X3,the_carrier(X0)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ element(X3,the_carrier(X0)) ),
inference(flattening,[],[f106]) ).
fof(f116,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f117,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f122,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X0) )
| ~ subnet(X2,X0,X1) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X0) )
| ~ subnet(X2,X0,X1) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ( function(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f125,plain,
! [X0,X1] :
( ( function(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f124]) ).
fof(f133,plain,
! [X0,X1] :
( ( ~ empty(the_mapping(X0,X1))
& relation(the_mapping(X0,X1))
& function(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f134,plain,
! [X0,X1] :
( ( ~ empty(the_mapping(X0,X1))
& relation(the_mapping(X0,X1))
& function(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f133]) ).
fof(f137,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f138,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f137]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ element(X3,the_carrier(X0)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ element(X3,the_carrier(X0)) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( apply_on_set_and_struct(X0,X1,X2,X3) = apply(X2,X3)
| empty(X0)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,X0,the_carrier(X1))
| ~ relation_of2(X2,X0,the_carrier(X1))
| ~ element(X3,X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( apply_on_set_and_struct(X0,X1,X2,X3) = apply(X2,X3)
| empty(X0)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,X0,the_carrier(X1))
| ~ relation_of2(X2,X0,the_carrier(X1))
| ~ element(X3,X0) ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4] :
( function_of_composition(X0,X1,X2,X3,X4) = relation_composition(X3,X4)
| empty(X1)
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2(X3,X0,X1)
| ~ function(X4)
| ~ quasi_total(X4,X1,X2)
| ~ relation_of2(X4,X1,X2) ),
inference(ennf_transformation,[],[f66]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4] :
( function_of_composition(X0,X1,X2,X3,X4) = relation_composition(X3,X4)
| empty(X1)
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2(X3,X0,X1)
| ~ function(X4)
| ~ quasi_total(X4,X1,X2)
| ~ relation_of2(X4,X1,X2) ),
inference(flattening,[],[f150]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( X1 = empty_set
| apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
| ~ in(X2,X0)
| ~ relation(X4)
| ~ function(X4) )
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( X1 = empty_set
| apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
| ~ in(X2,X0)
| ~ relation(X4)
| ~ function(X4) )
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f156,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ subset(lim_points_of_net(X0,X1),lim_points_of_net(X0,X2))
& subnet(X2,X0,X1) )
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f158,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ subset(lim_points_of_net(X0,X1),lim_points_of_net(X0,X2))
& subnet(X2,X0,X1) )
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f160,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f159]) ).
fof(f165,definition,
! [X1,X2,X0] :
( sP0(X1,X2,X0)
<=> ? [X3] :
( function(X3)
& quasi_total(X3,the_carrier(X2),the_carrier(X1))
& relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
& the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
& ! [X4] :
( ? [X5] :
( element(X5,the_carrier(X2))
& ! [X6] :
( related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6))
| ~ related(X2,X5,X6)
| ~ element(X6,the_carrier(X2)) ) )
| ~ element(X4,the_carrier(X1)) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f166,definition,
! [X0,X2,X1] :
( ( subnet(X2,X0,X1)
<=> sP0(X1,X2,X0) )
| ~ sP1(X0,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sP1(X0,X2,X1)
| empty_carrier(X2)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X0) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(definition_folding,[],[f98,f166,f165]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( is_eventually_in(X0,X1,X2)
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| ? [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) )
& ( ? [X3] :
( element(X3,the_carrier(X1))
& ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) ) )
| ~ is_eventually_in(X0,X1,X2) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( is_eventually_in(X0,X1,X2)
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| ? [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) )
& ( ? [X5] :
( element(X5,the_carrier(X1))
& ! [X6] :
( in(apply_netmap(X0,X1,X6),X2)
| ~ related(X1,X5,X6)
| ~ element(X6,the_carrier(X1)) ) )
| ~ is_eventually_in(X0,X1,X2) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(rectify,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( is_eventually_in(X0,X1,X2)
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| ( ~ in(apply_netmap(X0,X1,sK2(X0,X1,X2,X3)),X2)
& related(X1,X3,sK2(X0,X1,X2,X3))
& element(sK2(X0,X1,X2,X3),the_carrier(X1)) ) ) )
& ( ( element(sK3(X0,X1,X2),the_carrier(X1))
& ! [X6] :
( in(apply_netmap(X0,X1,X6),X2)
| ~ related(X1,sK3(X0,X1,X2),X6)
| ~ element(X6,the_carrier(X1)) ) )
| ~ is_eventually_in(X0,X1,X2) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X4,sK2(X0,X1,X2,X3)),skolemize(X5,sK3(X0,X1,X2))],[f169]) ).
fof(f171,plain,
! [X0,X2,X1] :
( ( ( subnet(X2,X0,X1)
| ~ sP0(X1,X2,X0) )
& ( sP0(X1,X2,X0)
| ~ subnet(X2,X0,X1) ) )
| ~ sP1(X0,X2,X1) ),
inference(nnf_transformation,[],[f166]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ( ( subnet(X1,X0,X2)
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| ~ subnet(X1,X0,X2) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f171]) ).
fof(f173,plain,
! [X1,X2,X0] :
( ( sP0(X1,X2,X0)
| ! [X3] :
( ~ function(X3)
| ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| ? [X4] :
( ! [X5] :
( ~ element(X5,the_carrier(X2))
| ? [X6] :
( ~ related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6))
& related(X2,X5,X6)
& element(X6,the_carrier(X2)) ) )
& element(X4,the_carrier(X1)) ) ) )
& ( ? [X3] :
( function(X3)
& quasi_total(X3,the_carrier(X2),the_carrier(X1))
& relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
& the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
& ! [X4] :
( ? [X5] :
( element(X5,the_carrier(X2))
& ! [X6] :
( related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6))
| ~ related(X2,X5,X6)
| ~ element(X6,the_carrier(X2)) ) )
| ~ element(X4,the_carrier(X1)) ) )
| ~ sP0(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f165]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ function(X3)
| ~ quasi_total(X3,the_carrier(X1),the_carrier(X0))
| ~ relation_of2_as_subset(X3,the_carrier(X1),the_carrier(X0))
| the_mapping(X2,X1) != function_of_composition(the_carrier(X1),the_carrier(X0),the_carrier(X2),X3,the_mapping(X2,X0))
| ? [X4] :
( ! [X5] :
( ~ element(X5,the_carrier(X1))
| ? [X6] :
( ~ related(X0,X4,apply_on_set_and_struct(the_carrier(X1),X0,X3,X6))
& related(X1,X5,X6)
& element(X6,the_carrier(X1)) ) )
& element(X4,the_carrier(X0)) ) ) )
& ( ? [X7] :
( function(X7)
& quasi_total(X7,the_carrier(X1),the_carrier(X0))
& relation_of2_as_subset(X7,the_carrier(X1),the_carrier(X0))
& the_mapping(X2,X1) = function_of_composition(the_carrier(X1),the_carrier(X0),the_carrier(X2),X7,the_mapping(X2,X0))
& ! [X8] :
( ? [X9] :
( element(X9,the_carrier(X1))
& ! [X10] :
( related(X0,X8,apply_on_set_and_struct(the_carrier(X1),X0,X7,X10))
| ~ related(X1,X9,X10)
| ~ element(X10,the_carrier(X1)) ) )
| ~ element(X8,the_carrier(X0)) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f173]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ function(X3)
| ~ quasi_total(X3,the_carrier(X1),the_carrier(X0))
| ~ relation_of2_as_subset(X3,the_carrier(X1),the_carrier(X0))
| the_mapping(X2,X1) != function_of_composition(the_carrier(X1),the_carrier(X0),the_carrier(X2),X3,the_mapping(X2,X0))
| ( ! [X5] :
( ~ element(X5,the_carrier(X1))
| ( ~ related(X0,sK4(X0,X1,X3),apply_on_set_and_struct(the_carrier(X1),X0,X3,sK5(X0,X1,X3,X5)))
& related(X1,X5,sK5(X0,X1,X3,X5))
& element(sK5(X0,X1,X3,X5),the_carrier(X1)) ) )
& element(sK4(X0,X1,X3),the_carrier(X0)) ) ) )
& ( ( function(sK6(X0,X1,X2))
& quasi_total(sK6(X0,X1,X2),the_carrier(X1),the_carrier(X0))
& relation_of2_as_subset(sK6(X0,X1,X2),the_carrier(X1),the_carrier(X0))
& the_mapping(X2,X1) = function_of_composition(the_carrier(X1),the_carrier(X0),the_carrier(X2),sK6(X0,X1,X2),the_mapping(X2,X0))
& ! [X8] :
( ( element(sK7(X0,X1,X2,X8),the_carrier(X1))
& ! [X10] :
( related(X0,X8,apply_on_set_and_struct(the_carrier(X1),X0,sK6(X0,X1,X2),X10))
| ~ related(X1,sK7(X0,X1,X2,X8),X10)
| ~ element(X10,the_carrier(X1)) ) )
| ~ element(X8,the_carrier(X0)) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X4,sK4(X0,X1,X3)),skolemize(X6,sK5(X0,X1,X3,X5)),skolemize(X7,sK6(X0,X1,X2)),skolemize(X9,sK7(X0,X1,X2,X8))],[f174]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ? [X3] :
( ( ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) )
& ( ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) )
| in(X3,X2) )
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) ) )
& ( ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) ) )
| ~ element(X3,the_carrier(X0)) )
| lim_points_of_net(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ? [X3] :
( ( ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) )
& ( ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) )
| in(X3,X2) )
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) ) )
& ( ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) ) )
| ~ element(X3,the_carrier(X0)) )
| lim_points_of_net(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f176]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ? [X3] :
( ( ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) )
& ( ! [X5] :
( is_eventually_in(X0,X1,X5)
| ~ point_neighbourhood(X5,X0,X3) )
| in(X3,X2) )
& element(X3,the_carrier(X0)) ) )
& ( ! [X6] :
( ( ( in(X6,X2)
| ? [X7] :
( ~ is_eventually_in(X0,X1,X7)
& point_neighbourhood(X7,X0,X6) ) )
& ( ! [X8] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6) )
| ~ in(X6,X2) ) )
| ~ element(X6,the_carrier(X0)) )
| lim_points_of_net(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(rectify,[],[f177]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ( ( ( ~ is_eventually_in(X0,X1,sK9(X0,X1,X2))
& point_neighbourhood(sK9(X0,X1,X2),X0,sK8(X0,X1,X2)) )
| ~ in(sK8(X0,X1,X2),X2) )
& ( ! [X5] :
( is_eventually_in(X0,X1,X5)
| ~ point_neighbourhood(X5,X0,sK8(X0,X1,X2)) )
| in(sK8(X0,X1,X2),X2) )
& element(sK8(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X6] :
( ( ( in(X6,X2)
| ( ~ is_eventually_in(X0,X1,sK10(X0,X1,X6))
& point_neighbourhood(sK10(X0,X1,X6),X0,X6) ) )
& ( ! [X8] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6) )
| ~ in(X6,X2) ) )
| ~ element(X6,the_carrier(X0)) )
| lim_points_of_net(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X4,sK9(X0,X1,X2)),skolemize(X7,sK10(X0,X1,X6))],[f178]) ).
fof(f180,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f181,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f180]) ).
fof(f182,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK11(X0,X1),X1)
& in(sK11(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f181]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f206,plain,
( ~ subset(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))
& subnet(sK35,sK33,sK34)
& ~ empty_carrier(sK34)
& transitive_relstr(sK34)
& directed_relstr(sK34)
& net_str(sK34,sK33)
& ~ empty_carrier(sK33)
& topological_space(sK33)
& top_str(sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33,sK34,sK35]),skolemize(X0,sK33),skolemize(X1,sK34),skolemize(X2,sK35)],[f158]) ).
fof(f213,plain,
! [X2,X0,X1,X6] :
( ~ related(X1,sK3(X0,X1,X2),X6)
| in(apply_netmap(X0,X1,X6),X2)
| ~ element(X6,the_carrier(X1))
| ~ is_eventually_in(X0,X1,X2)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f214,plain,
! [X2,X0,X1] :
( element(sK3(X0,X1,X2),the_carrier(X1))
| ~ is_eventually_in(X0,X1,X2)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( element(sK2(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| is_eventually_in(X0,X1,X2)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( related(X1,X3,sK2(X0,X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| is_eventually_in(X0,X1,X2)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ in(apply_netmap(X0,X1,sK2(X0,X1,X2,X3)),X2)
| ~ element(X3,the_carrier(X1))
| is_eventually_in(X0,X1,X2)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| ~ subnet(X1,X0,X2)
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f220,plain,
! [X2,X10,X0,X1,X8] :
( related(X0,X8,apply_on_set_and_struct(the_carrier(X1),X0,sK6(X0,X1,X2),X10))
| ~ related(X1,sK7(X0,X1,X2,X8),X10)
| ~ element(X10,the_carrier(X1))
| ~ element(X8,the_carrier(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f221,plain,
! [X2,X0,X1,X8] :
( element(sK7(X0,X1,X2,X8),the_carrier(X1))
| ~ element(X8,the_carrier(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f222,plain,
! [X2,X0,X1] :
( the_mapping(X2,X1) = function_of_composition(the_carrier(X1),the_carrier(X0),the_carrier(X2),sK6(X0,X1,X2),the_mapping(X2,X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f223,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(sK6(X0,X1,X2),the_carrier(X1),the_carrier(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f224,plain,
! [X2,X0,X1] :
( quasi_total(sK6(X0,X1,X2),the_carrier(X1),the_carrier(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f225,plain,
! [X2,X0,X1] :
( function(sK6(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sP1(X0,X2,X1)
| empty_carrier(X2)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f231,plain,
! [X2,X0,X1,X8,X6] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6)
| ~ in(X6,X2)
| ~ element(X6,the_carrier(X0))
| lim_points_of_net(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f232,plain,
! [X2,X0,X1,X6] :
( in(X6,X2)
| point_neighbourhood(sK10(X0,X1,X6),X0,X6)
| ~ element(X6,the_carrier(X0))
| lim_points_of_net(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f233,plain,
! [X2,X0,X1,X6] :
( in(X6,X2)
| ~ is_eventually_in(X0,X1,sK10(X0,X1,X6))
| ~ element(X6,the_carrier(X0))
| lim_points_of_net(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f239,plain,
! [X0,X1] :
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f240,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f241,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f242,plain,
! [X0,X1] :
( element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ element(X3,the_carrier(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f250,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f251,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f252,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X0,X1)
| net_str(X2,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f256,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X0,X1)
| directed_relstr(X2)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X0,X1)
| transitive_relstr(X2)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X0,X1)
| ~ empty_carrier(X2)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f259,plain,
! [X0,X1] :
( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f260,plain,
! [X0,X1] :
( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f261,plain,
! [X0,X1] :
( function(the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f275,plain,
! [X0,X1] :
( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f276,plain,
! [X0,X1] :
( function(the_mapping(X0,X1))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f277,plain,
! [X0,X1] :
( relation(the_mapping(X0,X1))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f281,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f284,plain,
empty(empty_set),
inference(cnf_transformation,[],[f49]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ element(X3,the_carrier(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( apply_on_set_and_struct(X0,X1,X2,X3) = apply(X2,X3)
| empty(X0)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,X0,the_carrier(X1))
| ~ relation_of2(X2,X0,the_carrier(X1))
| ~ element(X3,X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4] :
( function_of_composition(X0,X1,X2,X3,X4) = relation_composition(X3,X4)
| empty(X1)
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2(X3,X0,X1)
| ~ function(X4)
| ~ quasi_total(X4,X1,X2)
| ~ relation_of2(X4,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f315,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
| empty_set = X1
| ~ in(X2,X0)
| ~ relation(X4)
| ~ function(X4)
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2_as_subset(X3,X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f320,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f323,plain,
top_str(sK33),
inference(cnf_transformation,[],[f206]) ).
fof(f324,plain,
topological_space(sK33),
inference(cnf_transformation,[],[f206]) ).
fof(f325,plain,
~ empty_carrier(sK33),
inference(cnf_transformation,[],[f206]) ).
fof(f326,plain,
net_str(sK34,sK33),
inference(cnf_transformation,[],[f206]) ).
fof(f327,plain,
directed_relstr(sK34),
inference(cnf_transformation,[],[f206]) ).
fof(f328,plain,
transitive_relstr(sK34),
inference(cnf_transformation,[],[f206]) ).
fof(f329,plain,
~ empty_carrier(sK34),
inference(cnf_transformation,[],[f206]) ).
fof(f330,plain,
subnet(sK35,sK33,sK34),
inference(cnf_transformation,[],[f206]) ).
fof(f331,plain,
~ subset(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)),
inference(cnf_transformation,[],[f206]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f337,plain,
! [X0,X1,X6] :
( in(X6,lim_points_of_net(X0,X1))
| ~ is_eventually_in(X0,X1,sK10(X0,X1,X6))
| ~ element(X6,the_carrier(X0))
| ~ element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(equality_resolution,[],[f233]) ).
fof(f338,plain,
! [X0,X1,X6] :
( in(X6,lim_points_of_net(X0,X1))
| point_neighbourhood(sK10(X0,X1,X6),X0,X6)
| ~ element(X6,the_carrier(X0))
| ~ element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(equality_resolution,[],[f232]) ).
fof(f339,plain,
! [X0,X1,X8,X6] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6)
| ~ in(X6,lim_points_of_net(X0,X1))
| ~ element(X6,the_carrier(X0))
| ~ element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(equality_resolution,[],[f231]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| element(apply(X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X0)) ),
inference(forward_subsumption_demodulation,[],[f243,f312]) ).
fof(f342,plain,
! [X0,X1,X8,X6] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6)
| ~ in(X6,lim_points_of_net(X0,X1))
| ~ element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f339,f332]) ).
fof(f343,plain,
! [X0,X1,X6] :
( point_neighbourhood(sK10(X0,X1,X6),X0,X6)
| in(X6,lim_points_of_net(X0,X1))
| ~ element(X6,the_carrier(X0))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f338,f242]) ).
fof(f344,plain,
! [X0,X1,X6] :
( ~ is_eventually_in(X0,X1,sK10(X0,X1,X6))
| in(X6,lim_points_of_net(X0,X1))
| ~ element(X6,the_carrier(X0))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f337,f242]) ).
fof(f345,plain,
! [X0,X1,X8,X6] :
( ~ in(X6,lim_points_of_net(X0,X1))
| ~ point_neighbourhood(X8,X0,X6)
| is_eventually_in(X0,X1,X8)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f342,f242]) ).
fof(f346,plain,
element(lim_points_of_net(sK33,sK34),powerset(the_carrier(sK33))),
inference(unit_resulting_resolution,[],[f242,f329,f327,f328,f326,f323,f325,f324]) ).
fof(f348,plain,
one_sorted_str(sK33),
inference(resolution,[],[f251,f323]) ).
fof(f349,plain,
~ in(sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)),lim_points_of_net(sK33,sK35)),
inference(unit_resulting_resolution,[],[f240,f331]) ).
fof(f350,plain,
in(sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)),lim_points_of_net(sK33,sK34)),
inference(unit_resulting_resolution,[],[f239,f331]) ).
fof(f354,plain,
! [X2,X3,X0,X1] :
( ~ point_neighbourhood(X0,X1,sK11(lim_points_of_net(X1,X2),X3))
| is_eventually_in(X1,X2,X0)
| empty_carrier(X2)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| subset(lim_points_of_net(X1,X2),X3) ),
inference(resolution,[],[f345,f239]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( in(sK11(lim_points_of_net(X0,X1),X2),lim_points_of_net(X0,X3))
| ~ element(sK11(lim_points_of_net(X0,X1),X2),the_carrier(X0))
| empty_carrier(X3)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| is_eventually_in(X0,X1,sK10(X0,X3,sK11(lim_points_of_net(X0,X1),X2)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| subset(lim_points_of_net(X0,X1),X2) ),
inference(resolution,[],[f343,f354]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( is_eventually_in(X0,X1,sK10(X0,X3,sK11(lim_points_of_net(X0,X1),X2)))
| ~ element(sK11(lim_points_of_net(X0,X1),X2),the_carrier(X0))
| empty_carrier(X3)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| in(sK11(lim_points_of_net(X0,X1),X2),lim_points_of_net(X0,X3))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| subset(lim_points_of_net(X0,X1),X2) ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f368,plain,
net_str(sK35,sK33),
inference(unit_resulting_resolution,[],[f255,f325,f327,f328,f329,f348,f326,f330]) ).
fof(f371,plain,
directed_relstr(sK35),
inference(unit_resulting_resolution,[],[f256,f327,f328,f329,f348,f325,f326,f330]) ).
fof(f374,plain,
transitive_relstr(sK35),
inference(unit_resulting_resolution,[],[f257,f327,f328,f329,f348,f325,f326,f330]) ).
fof(f377,plain,
quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)),
inference(unit_resulting_resolution,[],[f275,f329,f326,f348,f325]) ).
fof(f380,plain,
~ empty_carrier(sK35),
inference(unit_resulting_resolution,[],[f258,f327,f328,f329,f348,f325,f326,f330]) ).
fof(f394,plain,
sP1(sK33,sK35,sK34),
inference(unit_resulting_resolution,[],[f230,f348,f325,f329,f327,f328,f326,f368,f371,f374,f380]) ).
fof(f399,plain,
sP0(sK34,sK35,sK33),
inference(unit_resulting_resolution,[],[f218,f330,f394]) ).
fof(f404,plain,
the_mapping(sK33,sK35) = function_of_composition(the_carrier(sK35),the_carrier(sK34),the_carrier(sK33),sK6(sK34,sK35,sK33),the_mapping(sK33,sK34)),
inference(unit_resulting_resolution,[],[f222,f399]) ).
fof(f405,plain,
relation_of2_as_subset(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)),
inference(unit_resulting_resolution,[],[f259,f326,f348]) ).
fof(f406,plain,
relation_of2_as_subset(the_mapping(sK33,sK35),the_carrier(sK35),the_carrier(sK33)),
inference(unit_resulting_resolution,[],[f259,f368,f348]) ).
fof(f407,plain,
relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)),
inference(unit_resulting_resolution,[],[f315,f405]) ).
fof(f408,plain,
relation_of2(the_mapping(sK33,sK35),the_carrier(sK35),the_carrier(sK33)),
inference(unit_resulting_resolution,[],[f315,f406]) ).
fof(f411,plain,
quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34)),
inference(unit_resulting_resolution,[],[f224,f399]) ).
fof(f412,plain,
element(sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)),the_carrier(sK33)),
inference(unit_resulting_resolution,[],[f332,f350,f346]) ).
fof(f417,plain,
is_eventually_in(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),
inference(unit_resulting_resolution,[],[f364,f374,f371,f327,f328,f329,f380,f323,f324,f325,f326,f368,f331,f349,f412]) ).
fof(f419,plain,
~ is_eventually_in(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),
inference(unit_resulting_resolution,[],[f344,f323,f324,f325,f380,f371,f374,f368,f349,f412]) ).
fof(f429,plain,
function(the_mapping(sK33,sK34)),
inference(unit_resulting_resolution,[],[f276,f329,f326,f348,f325]) ).
fof(f431,plain,
element(sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),the_carrier(sK34)),
inference(unit_resulting_resolution,[],[f214,f348,f325,f329,f326,f417]) ).
fof(f450,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply(the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ function(the_mapping(X0,X1))
| ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ element(X2,the_carrier(X1)) ),
inference(superposition,[],[f241,f312]) ).
fof(f451,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply(the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| ~ function(the_mapping(X0,X1))
| ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f450]) ).
fof(f453,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply(the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f451,f261]) ).
fof(f455,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply(the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f453,f260]) ).
fof(f457,plain,
element(sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))),the_carrier(sK35)),
inference(unit_resulting_resolution,[],[f221,f399,f431]) ).
fof(f458,plain,
element(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35)),
inference(unit_resulting_resolution,[],[f215,f348,f325,f380,f368,f419,f457]) ).
fof(f459,plain,
related(sK35,sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),
inference(unit_resulting_resolution,[],[f216,f348,f325,f380,f368,f419,f457]) ).
fof(f460,plain,
~ in(apply_netmap(sK33,sK35,sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),
inference(unit_resulting_resolution,[],[f217,f348,f325,f380,f368,f419,f457]) ).
fof(f520,plain,
( in(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35))
| empty(the_carrier(sK35)) ),
inference(resolution,[],[f320,f458]) ).
fof(f548,plain,
( the_mapping(sK33,sK35) = relation_composition(sK6(sK34,sK35,sK33),the_mapping(sK33,sK34))
| empty(the_carrier(sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ function(the_mapping(sK33,sK34))
| ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(superposition,[],[f404,f314]) ).
fof(f550,plain,
( the_mapping(sK33,sK35) = relation_composition(sK6(sK34,sK35,sK33),the_mapping(sK33,sK34))
| empty(the_carrier(sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ function(the_mapping(sK33,sK34))
| ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f548,f411]) ).
fof(f554,plain,
( the_mapping(sK33,sK35) = relation_composition(sK6(sK34,sK35,sK33),the_mapping(sK33,sK34))
| empty(the_carrier(sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f550,f429]) ).
fof(f558,plain,
( the_mapping(sK33,sK35) = relation_composition(sK6(sK34,sK35,sK33),the_mapping(sK33,sK34))
| empty(the_carrier(sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f554,f377]) ).
fof(f560,plain,
( the_mapping(sK33,sK35) = relation_composition(sK6(sK34,sK35,sK33),the_mapping(sK33,sK34))
| empty(the_carrier(sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34)) ),
inference(forward_subsumption_resolution,[],[f558,f407]) ).
fof(f585,plain,
relation_of2_as_subset(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34)),
inference(unit_resulting_resolution,[],[f223,f399]) ).
fof(f586,plain,
relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34)),
inference(unit_resulting_resolution,[],[f315,f585]) ).
fof(f588,plain,
( the_mapping(sK33,sK35) = relation_composition(sK6(sK34,sK35,sK33),the_mapping(sK33,sK34))
| empty(the_carrier(sK34))
| ~ function(sK6(sK34,sK35,sK33)) ),
inference(backward_subsumption_resolution,[],[f560,f586]) ).
fof(f625,plain,
( ~ in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ element(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35))
| empty_carrier(sK35)
| ~ net_str(sK35,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK35)
| ~ relation_of2(the_mapping(sK33,sK35),the_carrier(sK35),the_carrier(sK33)) ),
inference(superposition,[],[f460,f455]) ).
fof(f640,plain,
( ~ in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| empty_carrier(sK35)
| ~ net_str(sK35,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK35)
| ~ relation_of2(the_mapping(sK33,sK35),the_carrier(sK35),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f625,f458]) ).
fof(f648,plain,
( ~ in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ net_str(sK35,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK35)
| ~ relation_of2(the_mapping(sK33,sK35),the_carrier(sK35),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f640,f380]) ).
fof(f655,plain,
( ~ in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK35)
| ~ relation_of2(the_mapping(sK33,sK35),the_carrier(sK35),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f648,f368]) ).
fof(f662,plain,
( ~ in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK35)
| ~ relation_of2(the_mapping(sK33,sK35),the_carrier(sK35),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f655,f325]) ).
fof(f669,plain,
( ~ in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ one_sorted_str(sK35)
| ~ relation_of2(the_mapping(sK33,sK35),the_carrier(sK35),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f662,f348]) ).
fof(f676,plain,
( ~ in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ one_sorted_str(sK35) ),
inference(forward_subsumption_resolution,[],[f669,f408]) ).
fof(f756,plain,
rel_str(sK34),
inference(unit_resulting_resolution,[],[f252,f348,f326]) ).
fof(f757,plain,
rel_str(sK35),
inference(unit_resulting_resolution,[],[f252,f348,f368]) ).
fof(f762,plain,
one_sorted_str(sK35),
inference(unit_resulting_resolution,[],[f250,f757]) ).
fof(f769,plain,
~ in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),
inference(backward_subsumption_resolution,[],[f676,f762]) ).
fof(f781,plain,
~ empty(the_carrier(sK35)),
inference(unit_resulting_resolution,[],[f281,f380,f762]) ).
fof(f824,plain,
in(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35)),
inference(backward_subsumption_resolution,[],[f520,f781]) ).
fof(f838,plain,
one_sorted_str(sK34),
inference(unit_resulting_resolution,[],[f250,f756]) ).
fof(f846,plain,
~ empty(the_carrier(sK34)),
inference(unit_resulting_resolution,[],[f281,f329,f838]) ).
fof(f849,plain,
( the_mapping(sK33,sK35) = relation_composition(sK6(sK34,sK35,sK33),the_mapping(sK33,sK34))
| ~ function(sK6(sK34,sK35,sK33)) ),
inference(backward_subsumption_resolution,[],[f588,f846]) ).
fof(f875,plain,
relation(the_mapping(sK33,sK34)),
inference(unit_resulting_resolution,[],[f277,f329,f326,f348,f325]) ).
fof(f922,plain,
! [X0] :
( empty_carrier(sK35)
| ~ one_sorted_str(sK35)
| empty_carrier(sK34)
| ~ one_sorted_str(sK34)
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| element(apply(sK6(sK34,sK35,sK33),X0),the_carrier(sK34))
| ~ element(X0,the_carrier(sK35)) ),
inference(resolution,[],[f341,f586]) ).
fof(f923,plain,
! [X0] :
( ~ one_sorted_str(sK35)
| empty_carrier(sK34)
| ~ one_sorted_str(sK34)
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| element(apply(sK6(sK34,sK35,sK33),X0),the_carrier(sK34))
| ~ element(X0,the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f922,f380]) ).
fof(f926,plain,
! [X0] :
( empty_carrier(sK34)
| ~ one_sorted_str(sK34)
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| element(apply(sK6(sK34,sK35,sK33),X0),the_carrier(sK34))
| ~ element(X0,the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f923,f762]) ).
fof(f929,plain,
! [X0] :
( ~ one_sorted_str(sK34)
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| element(apply(sK6(sK34,sK35,sK33),X0),the_carrier(sK34))
| ~ element(X0,the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f926,f329]) ).
fof(f932,plain,
! [X0] :
( ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| element(apply(sK6(sK34,sK35,sK33),X0),the_carrier(sK34))
| ~ element(X0,the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f929,f838]) ).
fof(f935,plain,
! [X0] :
( element(apply(sK6(sK34,sK35,sK33),X0),the_carrier(sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(X0,the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f932,f411]) ).
fof(f1436,plain,
related(sK34,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),apply_on_set_and_struct(the_carrier(sK35),sK34,sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),
inference(unit_resulting_resolution,[],[f220,f399,f431,f458,f459]) ).
fof(f1444,plain,
( related(sK34,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))))
| empty(the_carrier(sK35))
| empty_carrier(sK34)
| ~ rel_str(sK34)
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ element(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35)) ),
inference(superposition,[],[f1436,f313]) ).
fof(f1445,plain,
( related(sK34,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))))
| empty_carrier(sK34)
| ~ rel_str(sK34)
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ element(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f1444,f781]) ).
fof(f1447,plain,
( related(sK34,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))))
| ~ rel_str(sK34)
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ element(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f1445,f329]) ).
fof(f1449,plain,
( related(sK34,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ element(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f1447,f756]) ).
fof(f1451,plain,
( related(sK34,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ relation_of2(sK6(sK34,sK35,sK33),the_carrier(sK35),the_carrier(sK34))
| ~ element(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f1449,f411]) ).
fof(f1453,plain,
( related(sK34,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),the_carrier(sK35)) ),
inference(forward_subsumption_resolution,[],[f1451,f586]) ).
fof(f1455,plain,
( related(sK34,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))))
| ~ function(sK6(sK34,sK35,sK33)) ),
inference(forward_subsumption_resolution,[],[f1453,f458]) ).
fof(f1456,plain,
( ~ function(sK6(sK34,sK35,sK33))
| in(apply_netmap(sK33,sK34,apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| ~ is_eventually_in(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| empty_carrier(sK34)
| ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33) ),
inference(resolution,[],[f1455,f213]) ).
fof(f1457,plain,
( ~ function(sK6(sK34,sK35,sK33))
| in(apply_netmap(sK33,sK34,apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| empty_carrier(sK34)
| ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f1456,f417]) ).
fof(f1458,plain,
( ~ function(sK6(sK34,sK35,sK33))
| in(apply_netmap(sK33,sK34,apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f1457,f329]) ).
fof(f1459,plain,
( ~ function(sK6(sK34,sK35,sK33))
| in(apply_netmap(sK33,sK34,apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| empty_carrier(sK33)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f1458,f326]) ).
fof(f1460,plain,
( ~ function(sK6(sK34,sK35,sK33))
| in(apply_netmap(sK33,sK34,apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f1459,f325]) ).
fof(f1461,plain,
( in(apply_netmap(sK33,sK34,apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34)) ),
inference(forward_subsumption_resolution,[],[f1460,f348]) ).
fof(f1474,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| empty_carrier(sK34)
| ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(superposition,[],[f1461,f455]) ).
fof(f1475,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| empty_carrier(sK34)
| ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(duplicate_literal_removal,[],[f1474]) ).
fof(f1476,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f1475,f329]) ).
fof(f1478,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f1476,f326]) ).
fof(f1479,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f1478,f325]) ).
fof(f1480,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f1479,f348]) ).
fof(f1481,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34))
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f1480,f838]) ).
fof(f1482,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ function(sK6(sK34,sK35,sK33))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34)) ),
inference(forward_subsumption_resolution,[],[f1481,f407]) ).
fof(f1493,plain,
! [X2,X0,X1] :
( apply(the_mapping(sK33,sK35),X0) = apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),X0))
| empty_set = X1
| ~ in(X0,X2)
| ~ relation(the_mapping(sK33,sK34))
| ~ function(the_mapping(sK33,sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),X2,X1)
| ~ relation_of2_as_subset(sK6(sK34,sK35,sK33),X2,X1)
| ~ function(sK6(sK34,sK35,sK33)) ),
inference(superposition,[],[f319,f849]) ).
fof(f1496,plain,
! [X2,X0,X1] :
( apply(the_mapping(sK33,sK35),X0) = apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),X0))
| empty_set = X1
| ~ in(X0,X2)
| ~ relation(the_mapping(sK33,sK34))
| ~ function(the_mapping(sK33,sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),X2,X1)
| ~ relation_of2_as_subset(sK6(sK34,sK35,sK33),X2,X1) ),
inference(duplicate_literal_removal,[],[f1493]) ).
fof(f1498,plain,
! [X2,X0,X1] :
( apply(the_mapping(sK33,sK35),X0) = apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),X0))
| empty_set = X1
| ~ in(X0,X2)
| ~ function(the_mapping(sK33,sK34))
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),X2,X1)
| ~ relation_of2_as_subset(sK6(sK34,sK35,sK33),X2,X1) ),
inference(forward_subsumption_resolution,[],[f1496,f875]) ).
fof(f1499,plain,
! [X2,X0,X1] :
( apply(the_mapping(sK33,sK35),X0) = apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),X0))
| empty_set = X1
| ~ in(X0,X2)
| ~ function(sK6(sK34,sK35,sK33))
| ~ quasi_total(sK6(sK34,sK35,sK33),X2,X1)
| ~ relation_of2_as_subset(sK6(sK34,sK35,sK33),X2,X1) ),
inference(forward_subsumption_resolution,[],[f1498,f429]) ).
fof(f1570,plain,
function(sK6(sK34,sK35,sK33)),
inference(unit_resulting_resolution,[],[f225,f399]) ).
fof(f1575,plain,
! [X0] :
( element(apply(sK6(sK34,sK35,sK33),X0),the_carrier(sK34))
| ~ element(X0,the_carrier(sK35)) ),
inference(backward_subsumption_resolution,[],[f935,f1570]) ).
fof(f1586,plain,
( in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| ~ element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34)) ),
inference(backward_subsumption_resolution,[],[f1482,f1570]) ).
fof(f1587,plain,
! [X2,X0,X1] :
( apply(the_mapping(sK33,sK35),X0) = apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),X0))
| empty_set = X1
| ~ in(X0,X2)
| ~ quasi_total(sK6(sK34,sK35,sK33),X2,X1)
| ~ relation_of2_as_subset(sK6(sK34,sK35,sK33),X2,X1) ),
inference(backward_subsumption_resolution,[],[f1499,f1570]) ).
fof(f1592,plain,
element(apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),the_carrier(sK34)),
inference(unit_resulting_resolution,[],[f1575,f458]) ).
fof(f1634,plain,
in(apply(the_mapping(sK33,sK34),apply(sK6(sK34,sK35,sK33),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))),
inference(backward_subsumption_resolution,[],[f1586,f1592]) ).
fof(f2027,plain,
! [X0,X1] :
( in(apply(the_mapping(sK33,sK35),sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))))),sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))))
| empty_set = X0
| ~ in(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),X1)
| ~ quasi_total(sK6(sK34,sK35,sK33),X1,X0)
| ~ relation_of2_as_subset(sK6(sK34,sK35,sK33),X1,X0) ),
inference(superposition,[],[f1634,f1587]) ).
fof(f2033,plain,
! [X0,X1] :
( ~ in(sK2(sK33,sK35,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35))),sK7(sK34,sK35,sK33,sK3(sK33,sK34,sK10(sK33,sK35,sK11(lim_points_of_net(sK33,sK34),lim_points_of_net(sK33,sK35)))))),X1)
| empty_set = X0
| ~ quasi_total(sK6(sK34,sK35,sK33),X1,X0)
| ~ relation_of2_as_subset(sK6(sK34,sK35,sK33),X1,X0) ),
inference(forward_subsumption_resolution,[],[f2027,f769]) ).
fof(f2034,plain,
empty_set = the_carrier(sK34),
inference(unit_resulting_resolution,[],[f2033,f585,f411,f824]) ).
fof(f2044,plain,
~ empty(empty_set),
inference(superposition,[],[f846,f2034]) ).
fof(f2130,plain,
$false,
inference(forward_subsumption_resolution,[],[f2044,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU380+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n026.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 28 05:04:12 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.23/2.47 % (3472009)Detected formulas, will run a generic FOF schedule.
% 12.23/2.47 % (3472086)dis-21_1_sil=8000:lcm=predicate:random_seed=911513796:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.23/2.47 % (3472080)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2946698720:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.23/2.47 % (3472084)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2758076556:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.23/2.47 % (3472081)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1632902226:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.23/2.47 % (3472083)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3530969335:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.23/2.47 % (3472085)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1068909888:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.23/2.47 % (3472083)Refutation not found, incomplete strategy
% 12.23/2.47 % (3472083)------------------------------
% 12.23/2.47 % (3472083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.47 % (3472083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.47 % (3472083)CaDiCaL version: 2.1.3
% 12.23/2.47 % (3472083)Termination reason: Refutation not found, incomplete strategy
% 12.23/2.47 % (3472083)Time elapsed: 0.002 s
% 12.23/2.47 % (3472083)Peak memory usage: 88 MB
% 12.23/2.47 % (3472083)Instructions burned: 2 (million)
% 12.23/2.47 % (3472086)Instruction limit reached!
% 12.23/2.47 % (3472086)------------------------------
% 12.23/2.47 % (3472086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.47 % (3472086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.47 % (3472086)CaDiCaL version: 2.1.3
% 12.23/2.47 % (3472086)Termination reason: Instruction limit
% 12.23/2.47 % (3472086)Termination phase: Saturation
% 12.23/2.47 % (3472086)Time elapsed: 0.039 s
% 12.23/2.47 % (3472086)Peak memory usage: 90 MB
% 12.23/2.47 % (3472086)Instructions burned: 130 (million)
% 12.23/2.47 % (3472082)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1572776782:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.23/2.47 % (3472084)Instruction limit reached!
% 12.23/2.47 % (3472084)------------------------------
% 12.23/2.47 % (3472084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.47 % (3472084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.47 % (3472084)CaDiCaL version: 2.1.3
% 12.23/2.47 % (3472084)Termination reason: Instruction limit
% 12.23/2.47 % (3472084)Termination phase: Saturation
% 12.23/2.47 % (3472084)Time elapsed: 0.069 s
% 12.23/2.47 % (3472084)Peak memory usage: 88 MB
% 12.23/2.47 % (3472084)Instructions burned: 119 (million)
% 12.23/2.47 % (3472104)lrs+10_1_sil=8000:sp=occurrence:random_seed=3353318527:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.23/2.47 % (3472085)Instruction limit reached!
% 12.23/2.47 % (3472085)------------------------------
% 12.23/2.47 % (3472085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.47 % (3472085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.47 % (3472085)CaDiCaL version: 2.1.3
% 12.23/2.47 % (3472085)Termination reason: Instruction limit
% 12.23/2.47 % (3472085)Termination phase: Saturation
% 12.23/2.47 % (3472085)Time elapsed: 0.101 s
% 12.23/2.47 % (3472085)Peak memory usage: 90 MB
% 12.23/2.47 % (3472085)Instructions burned: 141 (million)
% 12.23/2.47 % (3472104)Instruction limit reached!
% 12.23/2.47 % (3472104)------------------------------
% 12.23/2.47 % (3472104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/2.47 % (3472104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.47 % (3472104)CaDiCaL version: 2.1.3
% 12.23/2.47 % (3472104)Termination reason: Instruction limit
% 12.23/2.47 % (3472104)Termination phase: Saturation
% 12.23/2.47 % (3472104)Time elapsed: 0.094 s
% 12.23/2.47 % (3472104)Peak memory usage: 92 MB
% 12.23/2.47 % (3472104)Instructions burned: 291 (million)
% 21.10/3.75 % (3472106)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4188991236:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 21.10/3.75 % (3472108)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3004443548:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 21.10/3.75 % (3472083)------------------------------
% 21.10/3.75 % (3472083)------------------------------
% 21.10/3.75 % (3472106)Instruction limit reached!
% 21.10/3.75 % (3472106)------------------------------
% 21.10/3.75 % (3472106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.75 % (3472106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.75 % (3472106)CaDiCaL version: 2.1.3
% 21.10/3.75 % (3472106)Termination reason: Instruction limit
% 21.10/3.75 % (3472106)Termination phase: Saturation
% 21.10/3.75 % (3472106)Time elapsed: 0.085 s
% 21.10/3.75 % (3472106)Peak memory usage: 89 MB
% 21.10/3.75 % (3472106)Instructions burned: 158 (million)
% 21.10/3.75 % (3472113)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=356602665:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 21.10/3.75 % (3472125)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=500269833:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 21.10/3.75 % (3472125)Refutation not found, incomplete strategy
% 21.10/3.75 % (3472125)------------------------------
% 21.10/3.75 % (3472125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.75 % (3472125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.75 % (3472125)CaDiCaL version: 2.1.3
% 21.10/3.75 % (3472125)Termination reason: Refutation not found, incomplete strategy
% 21.10/3.75 % (3472125)Time elapsed: 0.005 s
% 21.10/3.75 % (3472125)Peak memory usage: 88 MB
% 21.10/3.75 % (3472125)Instructions burned: 6 (million)
% 21.10/3.75 % (3472126)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3231538911:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 21.10/3.75 % (3472108)Instruction limit reached!
% 21.10/3.75 % (3472108)------------------------------
% 21.10/3.75 % (3472108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.75 % (3472108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.75 % (3472108)CaDiCaL version: 2.1.3
% 21.10/3.75 % (3472108)Termination reason: Instruction limit
% 21.10/3.75 % (3472108)Termination phase: Saturation
% 21.10/3.75 % (3472108)Time elapsed: 0.196 s
% 21.10/3.75 % (3472108)Peak memory usage: 91 MB
% 21.10/3.75 % (3472108)Instructions burned: 325 (million)
% 21.10/3.75 % (3472113)Instruction limit reached!
% 21.10/3.75 % (3472113)------------------------------
% 21.10/3.75 % (3472113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.75 % (3472113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.75 % (3472113)CaDiCaL version: 2.1.3
% 21.10/3.75 % (3472113)Termination reason: Instruction limit
% 21.10/3.75 % (3472113)Termination phase: Saturation
% 21.10/3.75 % (3472113)Time elapsed: 0.134 s
% 21.10/3.75 % (3472113)Peak memory usage: 93 MB
% 21.10/3.75 % (3472113)Instructions burned: 249 (million)
% 21.10/3.75 % (3472130)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4265127748:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 21.10/3.75 % (3472131)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1787680651:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 21.10/3.75 % (3472125)------------------------------
% 21.10/3.75 % (3472125)------------------------------
% 21.10/3.75 % (3472130)Instruction limit reached!
% 21.10/3.75 % (3472130)------------------------------
% 21.10/3.75 % (3472130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.75 % (3472130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.75 % (3472130)CaDiCaL version: 2.1.3
% 21.10/3.75 % (3472130)Termination reason: Instruction limit
% 21.10/3.75 % (3472130)Termination phase: Saturation
% 21.10/3.75 % (3472130)Time elapsed: 0.102 s
% 21.10/3.75 % (3472130)Peak memory usage: 91 MB
% 21.10/3.75 % (3472130)Instructions burned: 113 (million)
% 21.10/3.75 % (3472131)Instruction limit reached!
% 21.10/3.75 % (3472131)------------------------------
% 21.10/3.75 % (3472131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.10/3.75 % (3472131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.09/7.40 % (3472131)CaDiCaL version: 2.1.3
% 47.09/7.40 % (3472131)Termination reason: Instruction limit
% 47.09/7.40 % (3472131)Termination phase: Saturation
% 47.09/7.40 % (3472131)Time elapsed: 0.073 s
% 47.09/7.40 % (3472131)Peak memory usage: 89 MB
% 47.09/7.40 % (3472131)Instructions burned: 127 (million)
% 47.09/7.40 % (3472142)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=380171730:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 47.09/7.40 % (3472144)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1949580481:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 47.09/7.40 % (3472143)lrs+10_1_sil=8000:sp=occurrence:random_seed=2903016903:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 47.09/7.40 % (3472144)Refutation not found, incomplete strategy
% 47.09/7.40 % (3472144)------------------------------
% 47.09/7.40 % (3472144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.09/7.40 % (3472144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.09/7.40 % (3472144)CaDiCaL version: 2.1.3
% 47.09/7.40 % (3472144)Termination reason: Refutation not found, incomplete strategy
% 47.09/7.40 % (3472144)Time elapsed: 0.010 s
% 47.09/7.40 % (3472144)Peak memory usage: 88 MB
% 47.09/7.40 % (3472144)Instructions burned: 8 (million)
% 47.09/7.40 % (3472142)Instruction limit reached!
% 47.09/7.40 % (3472142)------------------------------
% 47.09/7.40 % (3472142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.09/7.40 % (3472142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.09/7.40 % (3472142)CaDiCaL version: 2.1.3
% 47.09/7.40 % (3472142)Termination reason: Instruction limit
% 47.09/7.40 % (3472142)Termination phase: Saturation
% 47.09/7.40 % (3472142)Time elapsed: 0.080 s
% 47.09/7.40 % (3472142)Peak memory usage: 89 MB
% 47.09/7.40 % (3472142)Instructions burned: 114 (million)
% 47.09/7.40 % (3472157)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2707718524:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 47.09/7.40 % (3472144)------------------------------
% 47.09/7.40 % (3472144)------------------------------
% 47.09/7.40 % (3472162)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3588264681:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 47.09/7.40 % (3472162)Instruction limit reached!
% 47.09/7.40 % (3472162)------------------------------
% 47.09/7.40 % (3472162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.09/7.40 % (3472162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.09/7.40 % (3472162)CaDiCaL version: 2.1.3
% 47.09/7.40 % (3472162)Termination reason: Instruction limit
% 47.09/7.40 % (3472162)Termination phase: Saturation
% 47.09/7.40 % (3472162)Time elapsed: 0.079 s
% 47.09/7.40 % (3472162)Peak memory usage: 91 MB
% 47.09/7.40 % (3472162)Instructions burned: 135 (million)
% 47.09/7.40 % (3472143)Instruction limit reached!
% 47.09/7.40 % (3472143)------------------------------
% 47.09/7.40 % (3472143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.09/7.40 % (3472143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.09/7.40 % (3472143)CaDiCaL version: 2.1.3
% 47.09/7.40 % (3472143)Termination reason: Instruction limit
% 47.09/7.40 % (3472143)Termination phase: Saturation
% 47.09/7.40 % (3472143)Time elapsed: 0.653 s
% 47.09/7.40 % (3472143)Peak memory usage: 99 MB
% 47.09/7.40 % (3472143)Instructions burned: 908 (million)
% 47.09/7.40 % (3472165)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2198159199:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 47.09/7.40 % (3472165)Refutation not found, incomplete strategy
% 47.09/7.40 % (3472165)------------------------------
% 47.09/7.40 % (3472165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.09/7.40 % (3472165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.09/7.40 % (3472165)CaDiCaL version: 2.1.3
% 47.09/7.40 % (3472165)Termination reason: Refutation not found, incomplete strategy
% 47.09/7.40 % (3472165)Time elapsed: 0.006 s
% 47.09/7.40 % (3472165)Peak memory usage: 88 MB
% 47.09/7.40 % (3472165)Instructions burned: 8 (million)
% 47.09/7.40 % (3472166)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3637880617:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 78.36/11.72 % (3472165)------------------------------
% 78.36/11.72 % (3472165)------------------------------
% 78.36/11.72 % (3472242)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=17025873:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 78.36/11.72 % (3472242)Instruction limit reached!
% 78.36/11.72 % (3472242)------------------------------
% 78.36/11.72 % (3472242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.36/11.72 % (3472242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.36/11.72 % (3472242)CaDiCaL version: 2.1.3
% 78.36/11.72 % (3472242)Termination reason: Instruction limit
% 78.36/11.72 % (3472242)Termination phase: Saturation
% 78.36/11.72 % (3472242)Time elapsed: 0.077 s
% 78.36/11.72 % (3472242)Peak memory usage: 91 MB
% 78.36/11.72 % (3472242)Instructions burned: 127 (million)
% 78.36/11.72 % (3472126)Instruction limit reached!
% 78.36/11.72 % (3472126)------------------------------
% 78.36/11.72 % (3472126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.36/11.72 % (3472126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.36/11.72 % (3472126)CaDiCaL version: 2.1.3
% 78.36/11.72 % (3472126)Termination reason: Instruction limit
% 78.36/11.72 % (3472126)Termination phase: Saturation
% 78.36/11.72 % (3472126)Time elapsed: 1.787 s
% 78.36/11.72 % (3472126)Peak memory usage: 141 MB
% 78.36/11.72 % (3472126)Instructions burned: 2350 (million)
% 78.36/11.72 % (3472276)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4212211364:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 78.36/11.72 % (3472276)Instruction limit reached!
% 78.36/11.72 % (3472276)------------------------------
% 78.36/11.72 % (3472276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.36/11.72 % (3472276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.36/11.72 % (3472276)CaDiCaL version: 2.1.3
% 78.36/11.72 % (3472276)Termination reason: Instruction limit
% 78.36/11.72 % (3472276)Termination phase: Saturation
% 78.36/11.72 % (3472276)Time elapsed: 0.073 s
% 78.36/11.72 % (3472276)Peak memory usage: 90 MB
% 78.36/11.72 % (3472276)Instructions burned: 136 (million)
% 78.36/11.72 % (3472298)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=492088766:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 78.36/11.72 % (3472298)Refutation not found, incomplete strategy
% 78.36/11.72 % (3472298)------------------------------
% 78.36/11.72 % (3472298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.36/11.72 % (3472298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.36/11.72 % (3472298)CaDiCaL version: 2.1.3
% 78.36/11.72 % (3472298)Termination reason: Refutation not found, incomplete strategy
% 78.36/11.72 % (3472298)Time elapsed: 0.008 s
% 78.36/11.72 % (3472298)Peak memory usage: 88 MB
% 78.36/11.72 % (3472298)Instructions burned: 12 (million)
% 78.36/11.72 % (3472326)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2508009272:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 78.36/11.72 % (3472298)------------------------------
% 78.36/11.72 % (3472298)------------------------------
% 78.36/11.72 % (3472326)Instruction limit reached!
% 78.36/11.72 % (3472326)------------------------------
% 78.36/11.72 % (3472326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.36/11.72 % (3472326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.36/11.72 % (3472326)CaDiCaL version: 2.1.3
% 78.36/11.72 % (3472326)Termination reason: Instruction limit
% 78.36/11.72 % (3472326)Termination phase: Saturation
% 78.36/11.72 % (3472326)Time elapsed: 0.263 s
% 78.36/11.72 % (3472326)Peak memory usage: 93 MB
% 78.36/11.72 % (3472326)Instructions burned: 432 (million)
% 78.36/11.72 % (3472329)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=377283826:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 78.36/11.72 % (3472330)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2027138110:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 78.36/11.72 % (3472330)Instruction limit reached!
% 78.36/11.72 % (3472330)------------------------------
% 50.48/16.56 % (3472330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472330)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472330)Termination reason: Instruction limit
% 50.48/16.56 % (3472330)Termination phase: Saturation
% 50.48/16.56 % (3472330)Time elapsed: 0.096 s
% 50.48/16.56 % (3472330)Peak memory usage: 91 MB
% 50.48/16.56 % (3472330)Instructions burned: 150 (million)
% 50.48/16.56 % (3472333)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3696511769:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 50.48/16.56 % (3472157)Instruction limit reached!
% 50.48/16.56 % (3472157)------------------------------
% 50.48/16.56 % (3472157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472157)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472157)Termination reason: Instruction limit
% 50.48/16.56 % (3472157)Termination phase: Saturation
% 50.48/16.56 % (3472157)Time elapsed: 2.991 s
% 50.48/16.56 % (3472157)Peak memory usage: 150 MB
% 50.48/16.56 % (3472157)Instructions burned: 5204 (million)
% 50.48/16.56 % (3472335)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=835675553:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 50.48/16.56 % (3472335)Refutation not found, incomplete strategy
% 50.48/16.56 % (3472335)------------------------------
% 50.48/16.56 % (3472335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472335)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472335)Termination reason: Refutation not found, incomplete strategy
% 50.48/16.56 % (3472335)Time elapsed: 0.008 s
% 50.48/16.56 % (3472335)Peak memory usage: 88 MB
% 50.48/16.56 % (3472335)Instructions burned: 13 (million)
% 50.48/16.56 % (3472335)------------------------------
% 50.48/16.56 % (3472335)------------------------------
% 50.48/16.56 % (3472337)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=774008567:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 50.48/16.56 % (3472337)Instruction limit reached!
% 50.48/16.56 % (3472337)------------------------------
% 50.48/16.56 % (3472337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472337)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472337)Termination reason: Instruction limit
% 50.48/16.56 % (3472337)Termination phase: Saturation
% 50.48/16.56 % (3472337)Time elapsed: 0.125 s
% 50.48/16.56 % (3472337)Peak memory usage: 92 MB
% 50.48/16.56 % (3472337)Instructions burned: 185 (million)
% 50.48/16.56 % (3472339)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=652457985:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 50.48/16.56 % (3472339)Instruction limit reached!
% 50.48/16.56 % (3472339)------------------------------
% 50.48/16.56 % (3472339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472339)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472339)Termination reason: Instruction limit
% 50.48/16.56 % (3472339)Termination phase: Saturation
% 50.48/16.56 % (3472339)Time elapsed: 0.103 s
% 50.48/16.56 % (3472339)Peak memory usage: 93 MB
% 50.48/16.56 % (3472339)Instructions burned: 194 (million)
% 50.48/16.56 % (3472341)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=9439031:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 50.48/16.56 % (3472329)Instruction limit reached!
% 50.48/16.56 % (3472329)------------------------------
% 50.48/16.56 % (3472329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472329)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472329)Termination reason: Instruction limit
% 50.48/16.56 % (3472329)Termination phase: Saturation
% 50.48/16.56 % (3472329)Time elapsed: 3.713 s
% 50.48/16.56 % (3472329)Peak memory usage: 163 MB
% 50.48/16.56 % (3472329)Instructions burned: 6061 (million)
% 50.48/16.56 % (3472343)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2348158243:i=12111:sd=1:ss=included_2934 on theBenchmark for (2934ds/12111Mi)
% 50.48/16.56 % (3472341)Instruction limit reached!
% 50.48/16.56 % (3472341)------------------------------
% 50.48/16.56 % (3472341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472341)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472341)Termination reason: Instruction limit
% 50.48/16.56 % (3472341)Termination phase: Saturation
% 50.48/16.56 % (3472341)Time elapsed: 2.924 s
% 50.48/16.56 % (3472341)Peak memory usage: 128 MB
% 50.48/16.56 % (3472341)Instructions burned: 4851 (million)
% 50.48/16.56 % (3472345)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1199645641:i=319:kws=precedence:fsr=off_2917 on theBenchmark for (2917ds/319Mi)
% 50.48/16.56 % (3472345)Instruction limit reached!
% 50.48/16.56 % (3472345)------------------------------
% 50.48/16.56 % (3472345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472345)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472345)Termination reason: Instruction limit
% 50.48/16.56 % (3472345)Termination phase: Saturation
% 50.48/16.56 % (3472345)Time elapsed: 0.191 s
% 50.48/16.56 % (3472345)Peak memory usage: 93 MB
% 50.48/16.56 % (3472345)Instructions burned: 320 (million)
% 50.48/16.56 % (3472347)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3864701953:i=2064:ep=RST_2914 on theBenchmark for (2914ds/2064Mi)
% 50.48/16.56 % (3472166)Instruction limit reached!
% 50.48/16.56 % (3472166)------------------------------
% 50.48/16.56 % (3472166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472166)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472166)Termination reason: Instruction limit
% 50.48/16.56 % (3472166)Termination phase: Saturation
% 50.48/16.56 % (3472166)Time elapsed: 7.793 s
% 50.48/16.56 % (3472166)Peak memory usage: 224 MB
% 50.48/16.56 % (3472166)Instructions burned: 13194 (million)
% 50.48/16.56 % (3472347)Instruction limit reached!
% 50.48/16.56 % (3472347)------------------------------
% 50.48/16.56 % (3472347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472347)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472347)Termination reason: Instruction limit
% 50.48/16.56 % (3472347)Termination phase: Saturation
% 50.48/16.56 % (3472347)Time elapsed: 0.920 s
% 50.48/16.56 % (3472347)Peak memory usage: 108 MB
% 50.48/16.56 % (3472347)Instructions burned: 2065 (million)
% 50.48/16.56 % (3472349)dis-1011_128_sil=32000:random_seed=757190297:i=3706:ep=RST:av=off_2903 on theBenchmark for (2903ds/3706Mi)
% 50.48/16.56 % (3472350)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3132199682:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2903 on theBenchmark for (2903ds/757Mi)
% 50.48/16.56 % (3472350)Refutation not found, incomplete strategy
% 50.48/16.56 % (3472350)------------------------------
% 50.48/16.56 % (3472350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472350)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472350)Termination reason: Refutation not found, incomplete strategy
% 50.48/16.56 % (3472350)Time elapsed: 0.005 s
% 50.48/16.56 % (3472350)Peak memory usage: 88 MB
% 50.48/16.56 % (3472350)Instructions burned: 6 (million)
% 50.48/16.56 % (3472350)------------------------------
% 50.48/16.56 % (3472350)------------------------------
% 50.48/16.56 % (3472353)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=31912943:i=13913:ss=axioms:sgt=8_2899 on theBenchmark for (2899ds/13913Mi)
% 50.48/16.56 % (3472333)Instruction limit reached!
% 50.48/16.56 % (3472333)------------------------------
% 50.48/16.56 % (3472333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472333)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472333)Termination reason: Instruction limit
% 50.48/16.56 % (3472333)Termination phase: Saturation
% 50.48/16.56 % (3472333)Time elapsed: 7.840 s
% 50.48/16.56 % (3472333)Peak memory usage: 161 MB
% 50.48/16.56 % (3472333)Instructions burned: 14156 (million)
% 50.48/16.56 % (3472355)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3598866541:i=9925:aac=none_2889 on theBenchmark for (2889ds/9925Mi)
% 50.48/16.56 % (3472349)Instruction limit reached!
% 50.48/16.56 % (3472349)------------------------------
% 50.48/16.56 % (3472349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472349)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472349)Termination reason: Instruction limit
% 50.48/16.56 % (3472349)Termination phase: Saturation
% 50.48/16.56 % (3472349)Time elapsed: 2.063 s
% 50.48/16.56 % (3472349)Peak memory usage: 104 MB
% 50.48/16.56 % (3472349)Instructions burned: 3706 (million)
% 50.48/16.56 % (3472357)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1142223666:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2881 on theBenchmark for (2881ds/2479Mi)
% 50.48/16.56 % (3472357)Refutation not found, incomplete strategy
% 50.48/16.56 % (3472357)------------------------------
% 50.48/16.56 % (3472357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472357)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472357)Termination reason: Refutation not found, incomplete strategy
% 50.48/16.56 % (3472357)Time elapsed: 0.004 s
% 50.48/16.56 % (3472357)Peak memory usage: 88 MB
% 50.48/16.56 % (3472357)Instructions burned: 3 (million)
% 50.48/16.56 % (3472357)------------------------------
% 50.48/16.56 % (3472357)------------------------------
% 50.48/16.56 % (3472359)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2563135298:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2878 on theBenchmark for (2878ds/440Mi)
% 50.48/16.56 % (3472359)Instruction limit reached!
% 50.48/16.56 % (3472359)------------------------------
% 50.48/16.56 % (3472359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472359)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472359)Termination reason: Instruction limit
% 50.48/16.56 % (3472359)Termination phase: Saturation
% 50.48/16.56 % (3472359)Time elapsed: 0.272 s
% 50.48/16.56 % (3472359)Peak memory usage: 93 MB
% 50.48/16.56 % (3472359)Instructions burned: 440 (million)
% 50.48/16.56 % (3472361)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=836772732:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2874 on theBenchmark for (2874ds/11145Mi)
% 50.48/16.56 % (3472343)Instruction limit reached!
% 50.48/16.56 % (3472343)------------------------------
% 50.48/16.56 % (3472343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.48/16.56 % (3472343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.48/16.56 % (3472343)CaDiCaL version: 2.1.3
% 50.48/16.56 % (3472343)Termination reason: Instruction limit
% 50.48/16.56 % (3472343)Termination phase: Saturation
% 50.48/16.56 % (3472343)Time elapsed: 7.226 s
% 50.48/16.56 % (3472343)Peak memory usage: 238 MB
% 50.48/16.56 % (3472343)Instructions burned: 12112 (million)
% 50.48/16.56 % (3472495)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1676031507:cts=off:i=3034:av=off:er=known:fsd=on_2860 on theBenchmark for (2860ds/3034Mi)
% 50.48/16.56 % (3472495)First to succeed.
% 50.48/16.56 % (3472495)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3472009"
% 50.48/16.56 % (3472495)Refutation found. Thanks to Tanya!
% 50.48/16.56 % SZS status Theorem for theBenchmark
% 50.48/16.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/16.80 % (3472495)------------------------------
% 0.18/16.80 % (3472495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/16.80 % (3472495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/16.80 % (3472495)CaDiCaL version: 2.1.3
% 0.18/16.80 % (3472495)Termination reason: Refutation
% 0.18/16.80 % (3472495)Time elapsed: 1.287 s
% 0.18/16.80 % (3472495)Peak memory usage: 134 MB
% 0.18/16.80 % (3472495)Instructions burned: 1592 (million)
% 0.18/16.80 % (3472495)------------------------------
% 0.18/16.80 % (3472495)------------------------------
% 0.18/16.80 % (3472009)Success in time 15.894 s
% 0.18/16.80 % Vampire exiting
%------------------------------------------------------------------------------