%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU378+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 : n018.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 89.38s 26.19s
% Output : Refutation 179.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 55
% Syntax : Number of formulae : 521 ( 47 unt; 14 def)
% Number of atoms : 4151 ( 177 equ)
% Maximal formula atoms : 39 ( 7 avg)
% Number of connectives : 6272 (2642 ~;3355 |; 168 &)
% ( 32 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 14 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 5 con; 0-5 aty)
% Number of variables : 1080 ( 0 sgn1065 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f10,axiom,
! [X0] :
( one_sorted_str(X0)
=> identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_grcat_1) ).
fof(f11,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( is_often_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',d12_waybel_0) ).
fof(f12,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(f13,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2,X3] :
( ( strict_net_str(X3,X0)
& subnetstr(X3,X0,X1) )
=> ( X3 = preimage_subnetstr(X0,X1,X2)
<=> ( full_subrelstr(X3,X1)
& subrelstr(X3,X1)
& the_carrier(X3) = function_invverse_img_as_carrier_subset(X1,X0,the_mapping(X0,X1),X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_6) ).
fof(f14,axiom,
! [X0] :
( rel_str(X0)
=> ( transitive_relstr(X0)
<=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X3) )
=> related(X0,X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_yellow_0) ).
fof(f15,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(f16,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( net_str(X2,X0)
=> ( subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(f20,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(f26,axiom,
! [X0,X1,X2,X3] :
( ( one_sorted_str(X0)
& 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(function_invverse_img_as_carrier_subset(X0,X1,X2,X3),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_pre_topc) ).
fof(f30,axiom,
! [X0,X1,X2] :
( ( one_sorted_str(X0)
& net_str(X1,X0) )
=> ( strict_net_str(preimage_subnetstr(X0,X1,X2),X0)
& subnetstr(preimage_subnetstr(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_yellow_6) ).
fof(f32,axiom,
! [X0] :
( one_sorted_str(X0)
=> ( function(identity_on_carrier(X0))
& quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
& relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
fof(f36,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f38,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(f41,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f42,axiom,
! [X0,X1] :
( ( one_sorted_str(X0)
& net_str(X1,X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f43,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f47,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(f61,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(f62,axiom,
! [X0,X1,X2] :
( ( one_sorted_str(X0)
& transitive_relstr(X1)
& net_str(X1,X0) )
=> ( transitive_relstr(preimage_subnetstr(X0,X1,X2))
& strict_net_str(preimage_subnetstr(X0,X1,X2),X0)
& full_subnetstr(preimage_subnetstr(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc17_yellow_6) ).
fof(f64,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f68,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f88,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(f89,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(f90,axiom,
! [X0,X1,X2,X3] :
( ( one_sorted_str(X0)
& one_sorted_str(X1)
& function(X2)
& quasi_total(X2,the_carrier(X0),the_carrier(X1))
& relation_of2(X2,the_carrier(X0),the_carrier(X1)) )
=> function_invverse_img_as_carrier_subset(X0,X1,X2,X3) = relation_inverse_image(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_pre_topc) ).
fof(f91,axiom,
! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f92,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(f93,axiom,
! [X0,X1,X2,X3] :
( ( ~ empty(X0)
& function(X2)
& quasi_total(X2,X0,X1)
& relation_of2(X2,X0,X1)
& element(X3,X0) )
=> apply_as_element(X0,X1,X2,X3) = apply(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f94,axiom,
! [X0,X1,X2,X3] :
( relation_of2(X2,X0,X1)
=> relation_dom_restr_as_relation_of(X0,X1,X2,X3) = relation_dom_restriction(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_relset_1) ).
fof(f95,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(f98,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f99,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X3 = X5
& X4 = X6
& related(X2,X5,X6) )
=> related(X1,X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_yellow_6) ).
fof(f100,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f101,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
=> ( ~ empty_carrier(preimage_subnetstr(X0,X1,X2))
& directed_relstr(preimage_subnetstr(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_6) ).
fof(f102,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
=> subnet(preimage_subnetstr(X0,X1,X2),X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_yellow_6) ).
fof(f103,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
=> subnet(preimage_subnetstr(X0,X1,X2),X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f102]) ).
fof(f104,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f105,axiom,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( X1 != empty_set
=> ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(X4,X0)
& in(apply(X3,X4),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
fof(f106,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f111,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_tmap_1) ).
fof(f112,axiom,
! [X0,X1] :
( relation(X1)
=> relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_relat_1) ).
fof(f113,axiom,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( X1 = empty_set
& X0 != empty_set )
| ( function(X3)
& quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_funct_2) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( one_sorted_str(X0)
& transitive_relstr(X1)
& net_str(X1,X0) )
=> ( transitive_relstr(preimage_subnetstr(X0,X1,X2))
& strict_net_str(preimage_subnetstr(X0,X1,X2),X0) ) ),
inference(pure_predicate_removal,[],[f62]) ).
fof(f129,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f134,plain,
! [X0] :
( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X3,X4)
& in(apply_netmap(X0,X1,X4),X2) )
| ~ element(X3,the_carrier(X1)) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X3,X4)
& in(apply_netmap(X0,X1,X4),X2) )
| ~ element(X3,the_carrier(X1)) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f135]) ).
fof(f137,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,[],[f12]) ).
fof(f138,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,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( ( X3 = preimage_subnetstr(X0,X1,X2)
<=> ( full_subrelstr(X3,X1)
& subrelstr(X3,X1)
& the_carrier(X3) = function_invverse_img_as_carrier_subset(X1,X0,the_mapping(X0,X1),X2) ) )
| ~ strict_net_str(X3,X0)
| ~ subnetstr(X3,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( ( X3 = preimage_subnetstr(X0,X1,X2)
<=> ( full_subrelstr(X3,X1)
& subrelstr(X3,X1)
& the_carrier(X3) = function_invverse_img_as_carrier_subset(X1,X0,the_mapping(X0,X1),X2) ) )
| ~ strict_net_str(X3,X0)
| ~ subnetstr(X3,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ( transitive_relstr(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( related(X0,X1,X3)
| ~ related(X0,X1,X2)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f142,plain,
! [X0] :
( ( transitive_relstr(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( related(X0,X1,X3)
| ~ related(X0,X1,X2)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f141]) ).
fof(f143,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,[],[f15]) ).
fof(f144,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,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f148,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,[],[f20]) ).
fof(f149,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,[],[f148]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( element(function_invverse_img_as_carrier_subset(X0,X1,X2,X3),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( element(function_invverse_img_as_carrier_subset(X0,X1,X2,X3),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1)) ),
inference(flattening,[],[f154]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( strict_net_str(preimage_subnetstr(X0,X1,X2),X0)
& subnetstr(preimage_subnetstr(X0,X1,X2),X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ( strict_net_str(preimage_subnetstr(X0,X1,X2),X0)
& subnetstr(preimage_subnetstr(X0,X1,X2),X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f158]) ).
fof(f162,plain,
! [X0] :
( ( function(identity_on_carrier(X0))
& quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
& relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0)) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f167,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f170,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f171,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f176,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,[],[f47]) ).
fof(f177,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,[],[f176]) ).
fof(f188,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,[],[f61]) ).
fof(f189,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,[],[f188]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ( transitive_relstr(preimage_subnetstr(X0,X1,X2))
& strict_net_str(preimage_subnetstr(X0,X1,X2),X0) )
| ~ one_sorted_str(X0)
| ~ transitive_relstr(X1)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ( transitive_relstr(preimage_subnetstr(X0,X1,X2))
& strict_net_str(preimage_subnetstr(X0,X1,X2),X0) )
| ~ one_sorted_str(X0)
| ~ transitive_relstr(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f190]) ).
fof(f194,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f195,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f194]) ).
fof(f214,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,[],[f88]) ).
fof(f215,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,[],[f214]) ).
fof(f216,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,[],[f89]) ).
fof(f217,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,[],[f216]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( function_invverse_img_as_carrier_subset(X0,X1,X2,X3) = relation_inverse_image(X2,X3)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1)) ),
inference(ennf_transformation,[],[f90]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( function_invverse_img_as_carrier_subset(X0,X1,X2,X3) = relation_inverse_image(X2,X3)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1)) ),
inference(flattening,[],[f218]) ).
fof(f220,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,[],[f92]) ).
fof(f221,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,[],[f220]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
| empty(X0)
| ~ function(X2)
| ~ quasi_total(X2,X0,X1)
| ~ relation_of2(X2,X0,X1)
| ~ element(X3,X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
| empty(X0)
| ~ function(X2)
| ~ quasi_total(X2,X0,X1)
| ~ relation_of2(X2,X0,X1)
| ~ element(X3,X0) ),
inference(flattening,[],[f222]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( relation_dom_restr_as_relation_of(X0,X1,X2,X3) = relation_dom_restriction(X2,X3)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f94]) ).
fof(f226,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( related(X1,X3,X4)
| X3 != X5
| X4 != X6
| ~ related(X2,X5,X6)
| ~ element(X6,the_carrier(X2)) )
| ~ element(X5,the_carrier(X2)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( related(X1,X3,X4)
| X3 != X5
| X4 != X6
| ~ related(X2,X5,X6)
| ~ element(X6,the_carrier(X2)) )
| ~ element(X5,the_carrier(X2)) )
| ~ element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) )
| ~ subnetstr(X2,X0,X1) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f230,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ empty_carrier(preimage_subnetstr(X0,X1,X2))
& directed_relstr(preimage_subnetstr(X0,X1,X2)) )
| ~ is_often_in(X0,X1,X2) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ empty_carrier(preimage_subnetstr(X0,X1,X2))
& directed_relstr(preimage_subnetstr(X0,X1,X2)) )
| ~ is_often_in(X0,X1,X2) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f231]) ).
fof(f233,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ subnet(preimage_subnetstr(X0,X1,X2),X0,X1)
& is_often_in(X0,X1,X2) )
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f234,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ subnet(preimage_subnetstr(X0,X1,X2),X0,X1)
& is_often_in(X0,X1,X2) )
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(flattening,[],[f233]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(X4,X0)
& in(apply(X3,X4),X2) ) )
| empty_set = X1
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(X4,X0)
& in(apply(X3,X4),X2) ) )
| empty_set = X1
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f235]) ).
fof(f237,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f106]) ).
fof(f238,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f237]) ).
fof(f243,plain,
! [X0] :
( ! [X1] :
( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f111]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f243]) ).
fof(f245,plain,
! [X0,X1] :
( relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f112]) ).
fof(f246,plain,
! [X0,X1,X2,X3] :
( ( X1 = empty_set
& X0 != empty_set )
| ( function(X3)
& quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2) )
| ~ subset(X1,X2)
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f113]) ).
fof(f247,plain,
! [X0,X1,X2,X3] :
( ( X1 = empty_set
& X0 != empty_set )
| ( function(X3)
& quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2) )
| ~ subset(X1,X2)
| ~ function(X3)
| ~ quasi_total(X3,X0,X1)
| ~ relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f246]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f254,plain,
! [X0] :
( ~ one_sorted_str(X0)
| identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( in(apply_netmap(X0,X1,sK1(X0,X1,X2,X3)),X2)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( related(X1,X3,sK1(X0,X1,X2,X3))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( element(sK1(X0,X1,X2,X3),the_carrier(X1))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X5] :
( the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| element(sK5(X1,X2,X3,X5),the_carrier(X2))
| ~ element(X5,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| ~ function(X3)
| subnet(X2,X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f261,plain,
! [X2,X3,X0,X1,X5] :
( the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| related(X2,X5,sK5(X1,X2,X3,X5))
| ~ element(X5,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| ~ function(X3)
| subnet(X2,X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X5] :
( the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ related(X1,sK3(X1,X2,X3),apply_on_set_and_struct(the_carrier(X2),X1,X3,sK5(X1,X2,X3,X5)))
| ~ element(X5,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| ~ function(X3)
| subnet(X2,X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| element(sK3(X1,X2,X3),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| ~ function(X3)
| subnet(X2,X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( preimage_subnetstr(X0,X1,X2) != X3
| ~ net_str(X1,X0)
| ~ subnetstr(X3,X0,X1)
| ~ strict_net_str(X3,X0)
| the_carrier(X3) = function_invverse_img_as_carrier_subset(X1,X0,the_mapping(X0,X1),X2)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ related(X0,X2,X3)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ rel_str(X0)
| ~ related(X0,X1,X2)
| related(X0,X1,X3)
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f281,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ net_str(X2,X0)
| the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
| ~ subnetstr(X2,X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ net_str(X2,X0)
| subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X0)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( element(function_invverse_img_as_carrier_subset(X0,X1,X2,X3),powerset(the_carrier(X0)))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| ~ one_sorted_str(X0)
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f294,plain,
! [X2,X0,X1] :
( subnetstr(preimage_subnetstr(X0,X1,X2),X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f299,plain,
! [X0] :
( relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f300,plain,
! [X0] :
( quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f301,plain,
! [X0] :
( function(identity_on_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f305,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f306,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f307,plain,
! [X0,X1] :
( ~ subrelstr(X1,X0)
| ~ rel_str(X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| net_str(X2,X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f309,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f315,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,[],[f177]) ).
fof(f316,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,[],[f177]) ).
fof(f317,plain,
! [X0,X1] :
( function(the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f334,plain,
! [X0,X1] :
( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f335,plain,
! [X0,X1] :
( function(the_mapping(X0,X1))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f338,plain,
! [X2,X0,X1] :
( strict_net_str(preimage_subnetstr(X0,X1,X2),X0)
| ~ transitive_relstr(X1)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f339,plain,
! [X2,X0,X1] :
( transitive_relstr(preimage_subnetstr(X0,X1,X2))
| ~ transitive_relstr(X1)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f342,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f349,plain,
empty(empty_set),
inference(cnf_transformation,[],[f68]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X0)) ),
inference(cnf_transformation,[],[f215]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( apply_on_set_and_struct(X0,X1,X2,X3) = apply(X2,X3)
| ~ relation_of2(X2,X0,the_carrier(X1))
| ~ quasi_total(X2,X0,the_carrier(X1))
| ~ function(X2)
| ~ rel_str(X1)
| empty_carrier(X1)
| empty(X0)
| ~ element(X3,X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( function_invverse_img_as_carrier_subset(X0,X1,X2,X3) = relation_inverse_image(X2,X3)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| ~ one_sorted_str(X0)
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f396,plain,
! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
inference(cnf_transformation,[],[f91]) ).
fof(f397,plain,
! [X2,X3,X0,X1,X4] :
( function_of_composition(X0,X1,X2,X3,X4) = relation_composition(X3,X4)
| ~ quasi_total(X4,X1,X2)
| ~ function(X4)
| ~ relation_of2(X3,X0,X1)
| ~ quasi_total(X3,X0,X1)
| ~ function(X3)
| empty(X1)
| ~ relation_of2(X4,X1,X2) ),
inference(cnf_transformation,[],[f221]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
| ~ relation_of2(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| ~ function(X2)
| empty(X0)
| ~ element(X3,X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( relation_dom_restr_as_relation_of(X0,X1,X2,X3) = relation_dom_restriction(X2,X3)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f404,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X4 != X6
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X2))
| ~ element(X6,the_carrier(X2))
| ~ related(X2,X5,X6)
| ~ one_sorted_str(X0)
| X3 != X5
| related(X1,X3,X4) ),
inference(cnf_transformation,[],[f228]) ).
fof(f406,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f407,plain,
! [X2,X0,X1] :
( directed_relstr(preimage_subnetstr(X0,X1,X2))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ is_often_in(X0,X1,X2)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f408,plain,
! [X2,X0,X1] :
( ~ empty_carrier(preimage_subnetstr(X0,X1,X2))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ is_often_in(X0,X1,X2)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f409,plain,
is_often_in(sK33,sK34,sK35),
inference(cnf_transformation,[],[f234]) ).
fof(f410,plain,
~ subnet(preimage_subnetstr(sK33,sK34,sK35),sK33,sK34),
inference(cnf_transformation,[],[f234]) ).
fof(f411,plain,
net_str(sK34,sK33),
inference(cnf_transformation,[],[f234]) ).
fof(f412,plain,
directed_relstr(sK34),
inference(cnf_transformation,[],[f234]) ).
fof(f413,plain,
transitive_relstr(sK34),
inference(cnf_transformation,[],[f234]) ).
fof(f414,plain,
~ empty_carrier(sK34),
inference(cnf_transformation,[],[f234]) ).
fof(f415,plain,
one_sorted_str(sK33),
inference(cnf_transformation,[],[f234]) ).
fof(f416,plain,
~ empty_carrier(sK33),
inference(cnf_transformation,[],[f234]) ).
fof(f418,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(apply(X3,X4),X2)
| ~ quasi_total(X3,X0,X1)
| ~ function(X3)
| empty_set = X1
| ~ relation_of2_as_subset(X3,X0,X1)
| ~ in(X4,X0)
| in(X4,relation_inverse_image(X3,X2)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f427,plain,
! [X0,X1] :
( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f428,plain,
! [X0,X1] :
( relation_dom_restriction(X1,X0) = relation_composition(identity_relation(X0),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f430,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X0,X1)
| ~ quasi_total(X3,X0,X1)
| ~ function(X3)
| ~ subset(X1,X2)
| quasi_total(X3,X0,X2)
| empty_set = X1 ),
inference(cnf_transformation,[],[f247]) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X0,X1)
| ~ quasi_total(X3,X0,X1)
| ~ function(X3)
| ~ subset(X1,X2)
| relation_of2_as_subset(X3,X0,X2)
| empty_set = X1 ),
inference(cnf_transformation,[],[f247]) ).
fof(f433,plain,
! [X0] :
( identity_on_carrier(X0) = identity_relation(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(definition_unfolding,[],[f254,f396]) ).
fof(f435,definition,
sF36 = preimage_subnetstr(sK33,sK34,sK35),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f436,plain,
preimage_subnetstr(sK33,sK34,sK35) = sF36,
inference(reorient_equations,[],[f435]) ).
fof(f437,plain,
~ subnet(sF36,sK33,sK34),
inference(definition_folding,[],[f410,f436]) ).
fof(f438,plain,
! [X2,X0,X1] :
( the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f282,f308]) ).
fof(f439,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| ~ net_str(X1,X0)
| subrelstr(X2,X1)
| ~ one_sorted_str(X0) ),
inference(forward_subsumption_resolution,[],[f283,f308]) ).
fof(f464,plain,
( transitive_relstr(sF36)
| ~ transitive_relstr(sK34)
| ~ one_sorted_str(sK33)
| ~ net_str(sK34,sK33) ),
inference(superposition,[],[f339,f436]) ).
fof(f465,plain,
( transitive_relstr(sF36)
| ~ one_sorted_str(sK33)
| ~ net_str(sK34,sK33) ),
inference(forward_subsumption_resolution,[],[f464,f413]) ).
fof(f466,plain,
( transitive_relstr(sF36)
| ~ net_str(sK34,sK33) ),
inference(forward_subsumption_resolution,[],[f465,f415]) ).
fof(f467,plain,
transitive_relstr(sF36),
inference(forward_subsumption_resolution,[],[f466,f411]) ).
fof(f468,plain,
( ~ empty_carrier(sF36)
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(superposition,[],[f408,f436]) ).
fof(f469,plain,
( ~ empty_carrier(sF36)
| ~ net_str(sK34,sK33)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f468,f416]) ).
fof(f470,plain,
( ~ empty_carrier(sF36)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f469,f411]) ).
fof(f471,plain,
( ~ empty_carrier(sF36)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f470,f412]) ).
fof(f472,plain,
( ~ empty_carrier(sF36)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f471,f413]) ).
fof(f473,plain,
( ~ empty_carrier(sF36)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f472,f414]) ).
fof(f474,plain,
( ~ empty_carrier(sF36)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f473,f409]) ).
fof(f475,plain,
~ empty_carrier(sF36),
inference(forward_subsumption_resolution,[],[f474,f415]) ).
fof(f476,plain,
( directed_relstr(sF36)
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(superposition,[],[f407,f436]) ).
fof(f477,plain,
( directed_relstr(sF36)
| ~ net_str(sK34,sK33)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f476,f416]) ).
fof(f478,plain,
( directed_relstr(sF36)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f477,f411]) ).
fof(f479,plain,
( directed_relstr(sF36)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f478,f412]) ).
fof(f480,plain,
( directed_relstr(sF36)
| empty_carrier(sK34)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f479,f413]) ).
fof(f481,plain,
( directed_relstr(sF36)
| ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f480,f414]) ).
fof(f482,plain,
( directed_relstr(sF36)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f481,f409]) ).
fof(f483,plain,
directed_relstr(sF36),
inference(forward_subsumption_resolution,[],[f482,f415]) ).
fof(f484,plain,
( ~ one_sorted_str(sK33)
| rel_str(sK34) ),
inference(resolution,[],[f306,f411]) ).
fof(f485,plain,
rel_str(sK34),
inference(forward_subsumption_resolution,[],[f484,f415]) ).
fof(f486,plain,
one_sorted_str(sK34),
inference(resolution,[],[f485,f305]) ).
fof(f488,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply(the_mapping(X0,X1),X2)
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ function(the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ one_sorted_str(X0) ),
inference(superposition,[],[f393,f281]) ).
fof(f489,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply(the_mapping(X0,X1),X2)
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ function(the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0) ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f491,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply(the_mapping(X0,X1),X2)
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ function(the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0) ),
inference(forward_subsumption_resolution,[],[f489,f316]) ).
fof(f493,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply(the_mapping(X0,X1),X2)
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0) ),
inference(forward_subsumption_resolution,[],[f491,f317]) ).
fof(f495,plain,
( strict_net_str(sF36,sK33)
| ~ transitive_relstr(sK34)
| ~ one_sorted_str(sK33)
| ~ net_str(sK34,sK33) ),
inference(superposition,[],[f338,f436]) ).
fof(f496,plain,
( strict_net_str(sF36,sK33)
| ~ one_sorted_str(sK33)
| ~ net_str(sK34,sK33) ),
inference(forward_subsumption_resolution,[],[f495,f413]) ).
fof(f497,plain,
( strict_net_str(sF36,sK33)
| ~ net_str(sK34,sK33) ),
inference(forward_subsumption_resolution,[],[f496,f415]) ).
fof(f498,plain,
strict_net_str(sF36,sK33),
inference(forward_subsumption_resolution,[],[f497,f411]) ).
fof(f501,plain,
( subnetstr(sF36,sK33,sK34)
| ~ one_sorted_str(sK33)
| ~ net_str(sK34,sK33) ),
inference(superposition,[],[f294,f436]) ).
fof(f503,plain,
( subnetstr(sF36,sK33,sK34)
| ~ net_str(sK34,sK33) ),
inference(forward_subsumption_resolution,[],[f501,f415]) ).
fof(f504,plain,
subnetstr(sF36,sK33,sK34),
inference(forward_subsumption_resolution,[],[f503,f411]) ).
fof(f505,plain,
( ~ net_str(sK34,sK33)
| subrelstr(sF36,sK34)
| ~ one_sorted_str(sK33) ),
inference(resolution,[],[f504,f439]) ).
fof(f506,plain,
( subrelstr(sF36,sK34)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f505,f411]) ).
fof(f507,plain,
subrelstr(sF36,sK34),
inference(forward_subsumption_resolution,[],[f506,f415]) ).
fof(f526,plain,
! [X2,X3,X0,X1] :
( in(sK1(X0,X1,X2,X3),the_carrier(X1))
| empty(the_carrier(X1))
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ is_often_in(X0,X1,X2) ),
inference(resolution,[],[f406,f258]) ).
fof(f528,plain,
! [X2,X3,X0,X1] :
( in(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| empty(the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X0)) ),
inference(resolution,[],[f406,f287]) ).
fof(f529,plain,
! [X2,X3,X0,X1] :
( in(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f528,f342]) ).
fof(f534,plain,
! [X0,X1] :
( relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f315,f401]) ).
fof(f535,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,X0),apply_on_set_and_struct(the_carrier(X3),X2,X0,sK5(X2,X3,X0,X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| ~ relation_of2(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(superposition,[],[f262,f397]) ).
fof(f536,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,X0,X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| ~ relation_of2(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(superposition,[],[f261,f397]) ).
fof(f537,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,X0,X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| ~ relation_of2(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(superposition,[],[f260,f397]) ).
fof(f538,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,X0),the_carrier(X2))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| ~ relation_of2(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(superposition,[],[f265,f397]) ).
fof(f539,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,X0),the_carrier(X2))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| ~ relation_of2(X0,the_carrier(X3),the_carrier(X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f540,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,X0,X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| ~ relation_of2(X0,the_carrier(X3),the_carrier(X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f537]) ).
fof(f541,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,X0,X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| ~ relation_of2(X0,the_carrier(X3),the_carrier(X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f536]) ).
fof(f542,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,X0),apply_on_set_and_struct(the_carrier(X3),X2,X0,sK5(X2,X3,X0,X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| ~ relation_of2(X0,the_carrier(X3),the_carrier(X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f535]) ).
fof(f543,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,X0),the_carrier(X2))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f539,f401]) ).
fof(f544,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,X0,X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f540,f401]) ).
fof(f545,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,X0,X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f541,f401]) ).
fof(f546,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,X0),apply_on_set_and_struct(the_carrier(X3),X2,X0,sK5(X2,X3,X0,X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ function(the_mapping(X1,X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f542,f401]) ).
fof(f547,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,X0),the_carrier(X2))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ function(the_mapping(X1,X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f543,f334]) ).
fof(f548,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,X0,X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ function(the_mapping(X1,X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f544,f334]) ).
fof(f549,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,X0,X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ function(the_mapping(X1,X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f545,f334]) ).
fof(f550,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,X0),apply_on_set_and_struct(the_carrier(X3),X2,X0,sK5(X2,X3,X0,X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| ~ function(the_mapping(X1,X2))
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f546,f334]) ).
fof(f551,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,X0),the_carrier(X2))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f547,f335]) ).
fof(f552,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,X0,X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f548,f335]) ).
fof(f553,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,X0,X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f549,f335]) ).
fof(f554,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,X0),apply_on_set_and_struct(the_carrier(X3),X2,X0,sK5(X2,X3,X0,X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| empty(the_carrier(X2))
| ~ relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f550,f335]) ).
fof(f555,plain,
! [X2,X3,X0,X1] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,X0),the_carrier(X2))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| empty(the_carrier(X2)) ),
inference(forward_subsumption_resolution,[],[f551,f534]) ).
fof(f556,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,X0,X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| empty(the_carrier(X2)) ),
inference(forward_subsumption_resolution,[],[f552,f534]) ).
fof(f557,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,X0,X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| empty(the_carrier(X2)) ),
inference(forward_subsumption_resolution,[],[f553,f534]) ).
fof(f558,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,the_mapping(X1,X2)) != the_mapping(X1,X3)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X1)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,X0),apply_on_set_and_struct(the_carrier(X3),X2,X0,sK5(X2,X3,X0,X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(X0,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X3),the_carrier(X2))
| ~ function(X0)
| subnet(X3,X1,X2)
| empty(the_carrier(X2)) ),
inference(forward_subsumption_resolution,[],[f554,f534]) ).
fof(f559,plain,
! [X0] :
( sF36 != X0
| ~ net_str(sK34,sK33)
| ~ subnetstr(X0,sK33,sK34)
| ~ strict_net_str(X0,sK33)
| the_carrier(X0) = function_invverse_img_as_carrier_subset(sK34,sK33,the_mapping(sK33,sK34),sK35)
| ~ one_sorted_str(sK33) ),
inference(superposition,[],[f270,f436]) ).
fof(f562,plain,
! [X0] :
( sF36 != X0
| ~ subnetstr(X0,sK33,sK34)
| ~ strict_net_str(X0,sK33)
| the_carrier(X0) = function_invverse_img_as_carrier_subset(sK34,sK33,the_mapping(sK33,sK34),sK35)
| ~ one_sorted_str(sK33) ),
inference(forward_subsumption_resolution,[],[f559,f411]) ).
fof(f564,plain,
! [X0] :
( sF36 != X0
| ~ subnetstr(X0,sK33,sK34)
| ~ strict_net_str(X0,sK33)
| the_carrier(X0) = function_invverse_img_as_carrier_subset(sK34,sK33,the_mapping(sK33,sK34),sK35) ),
inference(forward_subsumption_resolution,[],[f562,f415]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X4,X5] :
( X3 != X5
| ~ subnetstr(X2,X1,X0)
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ element(X5,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ related(X2,X5,X4)
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1)
| related(X0,X3,X4) ),
inference(equality_resolution,[],[f405]) ).
fof(f597,plain,
! [X2,X3,X0,X1,X4] :
( ~ subnetstr(X0,X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ related(X0,X3,X4)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| related(X2,X3,X4) ),
inference(equality_resolution,[],[f596]) ).
fof(f599,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK34))
| ~ element(X1,the_carrier(sK34))
| ~ element(X0,the_carrier(sF36))
| ~ element(X1,the_carrier(sF36))
| ~ related(sF36,X0,X1)
| ~ one_sorted_str(sK33)
| ~ net_str(sK34,sK33)
| related(sK34,X0,X1) ),
inference(resolution,[],[f597,f504]) ).
fof(f601,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK34))
| ~ element(X1,the_carrier(sK34))
| ~ element(X0,the_carrier(sF36))
| ~ element(X1,the_carrier(sF36))
| ~ related(sF36,X0,X1)
| ~ net_str(sK34,sK33)
| related(sK34,X0,X1) ),
inference(forward_subsumption_resolution,[],[f599,f415]) ).
fof(f602,plain,
! [X0,X1] :
( ~ related(sF36,X0,X1)
| ~ element(X1,the_carrier(sK34))
| ~ element(X0,the_carrier(sF36))
| ~ element(X1,the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| related(sK34,X0,X1) ),
inference(forward_subsumption_resolution,[],[f601,f411]) ).
fof(f610,plain,
( ~ subnetstr(sF36,sK33,sK34)
| ~ strict_net_str(sF36,sK33)
| function_invverse_img_as_carrier_subset(sK34,sK33,the_mapping(sK33,sK34),sK35) = the_carrier(sF36) ),
inference(equality_resolution,[],[f564]) ).
fof(f611,plain,
( ~ strict_net_str(sF36,sK33)
| function_invverse_img_as_carrier_subset(sK34,sK33,the_mapping(sK33,sK34),sK35) = the_carrier(sF36) ),
inference(forward_subsumption_resolution,[],[f610,f504]) ).
fof(f612,plain,
function_invverse_img_as_carrier_subset(sK34,sK33,the_mapping(sK33,sK34),sK35) = the_carrier(sF36),
inference(forward_subsumption_resolution,[],[f611,f498]) ).
fof(f616,plain,
( the_carrier(sF36) = relation_inverse_image(the_mapping(sK33,sK34),sK35)
| ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ function(the_mapping(sK33,sK34))
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(superposition,[],[f395,f612]) ).
fof(f617,plain,
( the_carrier(sF36) = relation_inverse_image(the_mapping(sK33,sK34),sK35)
| ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ function(the_mapping(sK33,sK34))
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f616,f415]) ).
fof(f621,plain,
( the_carrier(sF36) = relation_inverse_image(the_mapping(sK33,sK34),sK35)
| ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ function(the_mapping(sK33,sK34))
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(forward_subsumption_resolution,[],[f617,f486]) ).
fof(f626,definition,
( spl37_3
<=> relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
introduced(definition,[new_symbols(definition,[spl37_3])],[avatar_definition]) ).
fof(f627,plain,
( relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ spl37_3 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f628,plain,
( ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| spl37_3 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f630,definition,
( spl37_4
<=> function(the_mapping(sK33,sK34)) ),
introduced(definition,[new_symbols(definition,[spl37_4])],[avatar_definition]) ).
fof(f631,plain,
( function(the_mapping(sK33,sK34))
| ~ spl37_4 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f632,plain,
( ~ function(the_mapping(sK33,sK34))
| spl37_4 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f634,definition,
( spl37_5
<=> quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
introduced(definition,[new_symbols(definition,[spl37_5])],[avatar_definition]) ).
fof(f635,plain,
( quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ spl37_5 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| spl37_5 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f638,definition,
( spl37_6
<=> the_carrier(sF36) = relation_inverse_image(the_mapping(sK33,sK34),sK35) ),
introduced(definition,[new_symbols(definition,[spl37_6])],[avatar_definition]) ).
fof(f640,plain,
( the_carrier(sF36) = relation_inverse_image(the_mapping(sK33,sK34),sK35)
| ~ spl37_6 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f641,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_6 ),
inference(avatar_split_clause,[],[f621,f638,f634,f630,f626]) ).
fof(f642,plain,
( ~ net_str(sK34,sK33)
| ~ one_sorted_str(sK33)
| spl37_3 ),
inference(resolution,[],[f628,f534]) ).
fof(f643,plain,
( ~ one_sorted_str(sK33)
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f642,f411]) ).
fof(f644,plain,
( $false
| spl37_3 ),
inference(forward_subsumption_resolution,[],[f643,f415]) ).
fof(f645,plain,
spl37_3,
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f647,plain,
( empty_carrier(sK34)
| ~ one_sorted_str(sK33)
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| spl37_4 ),
inference(resolution,[],[f632,f335]) ).
fof(f648,plain,
( ~ one_sorted_str(sK33)
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| spl37_4 ),
inference(forward_subsumption_resolution,[],[f647,f414]) ).
fof(f650,plain,
( empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| spl37_4 ),
inference(forward_subsumption_resolution,[],[f648,f415]) ).
fof(f653,plain,
( ~ net_str(sK34,sK33)
| spl37_4 ),
inference(forward_subsumption_resolution,[],[f650,f416]) ).
fof(f654,plain,
( $false
| spl37_4 ),
inference(forward_subsumption_resolution,[],[f653,f411]) ).
fof(f655,plain,
spl37_4,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f657,plain,
( empty_carrier(sK34)
| ~ one_sorted_str(sK33)
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| spl37_5 ),
inference(resolution,[],[f636,f334]) ).
fof(f658,plain,
( ~ one_sorted_str(sK33)
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f657,f414]) ).
fof(f660,plain,
( empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f658,f415]) ).
fof(f663,plain,
( ~ net_str(sK34,sK33)
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f660,f416]) ).
fof(f664,plain,
( $false
| spl37_5 ),
inference(forward_subsumption_resolution,[],[f663,f411]) ).
fof(f665,plain,
spl37_5,
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f678,plain,
( relation_of2_as_subset(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ spl37_3 ),
inference(resolution,[],[f627,f400]) ).
fof(f687,definition,
( spl37_8
<=> empty_set = the_carrier(sK33) ),
introduced(definition,[new_symbols(definition,[spl37_8])],[avatar_definition]) ).
fof(f688,plain,
( empty_set != the_carrier(sK33)
| spl37_8 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( empty_set = the_carrier(sK33)
| ~ spl37_8 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f773,plain,
( ~ rel_str(sK34)
| rel_str(sF36) ),
inference(resolution,[],[f307,f507]) ).
fof(f776,plain,
rel_str(sF36),
inference(forward_subsumption_resolution,[],[f773,f485]) ).
fof(f777,plain,
one_sorted_str(sF36),
inference(resolution,[],[f776,f305]) ).
fof(f787,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f309,f252]) ).
fof(f790,plain,
! [X0,X1] :
( relation(the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(resolution,[],[f787,f315]) ).
fof(f793,plain,
! [X0,X1] :
( relation_dom_restriction(X1,the_carrier(X0)) = relation_composition(identity_on_carrier(X0),X1)
| ~ relation(X1)
| ~ one_sorted_str(X0) ),
inference(superposition,[],[f428,f433]) ).
fof(f850,plain,
! [X0,X1] :
( apply(identity_on_carrier(X1),X0) = X0
| ~ relation_of2(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ function(identity_on_carrier(X1))
| empty(the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ element(X0,the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(superposition,[],[f398,f427]) ).
fof(f851,plain,
! [X0,X1] :
( apply(identity_on_carrier(X1),X0) = X0
| ~ relation_of2(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ function(identity_on_carrier(X1))
| empty(the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(duplicate_literal_removal,[],[f850]) ).
fof(f853,plain,
! [X0,X1] :
( apply(identity_on_carrier(X1),X0) = X0
| ~ relation_of2(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ function(identity_on_carrier(X1))
| empty(the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(forward_subsumption_resolution,[],[f851,f300]) ).
fof(f855,plain,
! [X0,X1] :
( apply(identity_on_carrier(X1),X0) = X0
| ~ relation_of2(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| empty(the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(forward_subsumption_resolution,[],[f853,f301]) ).
fof(f857,plain,
! [X0,X1] :
( ~ relation_of2(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| apply(identity_on_carrier(X1),X0) = X0
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(forward_subsumption_resolution,[],[f855,f342]) ).
fof(f865,plain,
( element(the_carrier(sF36),powerset(the_carrier(sK34)))
| ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ function(the_mapping(sK33,sK34))
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33)) ),
inference(superposition,[],[f290,f612]) ).
fof(f868,plain,
( element(the_carrier(sF36),powerset(the_carrier(sK34)))
| ~ function(the_mapping(sK33,sK34))
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f865,f635]) ).
fof(f871,plain,
( element(the_carrier(sF36),powerset(the_carrier(sK34)))
| ~ one_sorted_str(sK33)
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f868,f631]) ).
fof(f873,plain,
( element(the_carrier(sF36),powerset(the_carrier(sK34)))
| ~ one_sorted_str(sK34)
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f871,f415]) ).
fof(f875,plain,
( element(the_carrier(sF36),powerset(the_carrier(sK34)))
| ~ relation_of2(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f873,f486]) ).
fof(f876,plain,
( element(the_carrier(sF36),powerset(the_carrier(sK34)))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f875,f627]) ).
fof(f881,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sF36))
| element(X0,the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(resolution,[],[f876,f422]) ).
fof(f895,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(apply_netmap(X0,X1,X2),X3)
| ~ quasi_total(the_mapping(X0,X1),X4,X5)
| ~ function(the_mapping(X0,X1))
| empty_set = X5
| ~ relation_of2_as_subset(the_mapping(X0,X1),X4,X5)
| ~ in(X2,X4)
| in(X2,relation_inverse_image(the_mapping(X0,X1),X3))
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0) ),
inference(superposition,[],[f421,f493]) ).
fof(f896,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(apply_netmap(X0,X1,X2),X3)
| ~ quasi_total(the_mapping(X0,X1),X4,X5)
| empty_set = X5
| ~ relation_of2_as_subset(the_mapping(X0,X1),X4,X5)
| ~ in(X2,X4)
| in(X2,relation_inverse_image(the_mapping(X0,X1),X3))
| ~ relation_of2(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0) ),
inference(forward_subsumption_resolution,[],[f895,f317]) ).
fof(f898,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(X2,relation_inverse_image(the_mapping(X0,X1),X3))
| ~ quasi_total(the_mapping(X0,X1),X4,X5)
| empty_set = X5
| ~ relation_of2_as_subset(the_mapping(X0,X1),X4,X5)
| ~ in(X2,X4)
| ~ in(apply_netmap(X0,X1,X2),X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0) ),
inference(forward_subsumption_resolution,[],[f896,f534]) ).
fof(f974,plain,
( subset(the_carrier(sF36),the_carrier(sK34))
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(resolution,[],[f418,f876]) ).
fof(f985,plain,
! [X2,X3,X0,X1] :
( in(apply(X0,X1),the_carrier(X3))
| ~ relation_of2(X0,the_carrier(X2),the_carrier(X3))
| ~ quasi_total(X0,the_carrier(X2),the_carrier(X3))
| ~ function(X0)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ~ relation_of2(X0,the_carrier(X2),the_carrier(X3))
| ~ quasi_total(X0,the_carrier(X2),the_carrier(X3))
| ~ function(X0)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(superposition,[],[f529,f393]) ).
fof(f988,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X0,the_carrier(X2),the_carrier(X3))
| in(apply(X0,X1),the_carrier(X3))
| ~ quasi_total(X0,the_carrier(X2),the_carrier(X3))
| ~ function(X0)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(duplicate_literal_removal,[],[f985]) ).
fof(f1026,plain,
( ~ empty(empty_set)
| empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ spl37_8 ),
inference(superposition,[],[f342,f689]) ).
fof(f1068,plain,
( empty_carrier(sK33)
| ~ one_sorted_str(sK33)
| ~ spl37_8 ),
inference(forward_subsumption_resolution,[],[f1026,f349]) ).
fof(f1099,plain,
( ~ one_sorted_str(sK33)
| ~ spl37_8 ),
inference(forward_subsumption_resolution,[],[f1068,f416]) ).
fof(f1110,plain,
( $false
| ~ spl37_8 ),
inference(forward_subsumption_resolution,[],[f1099,f415]) ).
fof(f1111,plain,
~ spl37_8,
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1117,plain,
! [X2,X0,X1] :
( the_mapping(X0,X1) = relation_dom_restriction(the_mapping(X0,X2),the_carrier(X1))
| ~ relation_of2(the_mapping(X0,X2),the_carrier(X2),the_carrier(X0))
| ~ net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X1,X0,X2) ),
inference(superposition,[],[f399,f438]) ).
fof(f1118,plain,
! [X2,X0,X1] :
( the_mapping(X0,X1) = relation_dom_restriction(the_mapping(X0,X2),the_carrier(X1))
| ~ net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1117,f534]) ).
fof(f1286,definition,
( spl37_14
<=> empty(the_carrier(sK34)) ),
introduced(definition,[new_symbols(definition,[spl37_14])],[avatar_definition]) ).
fof(f1287,plain,
( empty(the_carrier(sK34))
| ~ spl37_14 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1288,plain,
( ~ empty(the_carrier(sK34))
| spl37_14 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1291,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ function(identity_on_carrier(X0))
| ~ subset(the_carrier(X0),X1)
| quasi_total(identity_on_carrier(X0),the_carrier(X0),X1)
| the_carrier(X0) = empty_set ),
inference(resolution,[],[f299,f430]) ).
fof(f1292,plain,
! [X0] :
( relation_of2(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f299,f401]) ).
fof(f1293,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ function(identity_on_carrier(X0))
| ~ subset(the_carrier(X0),X1)
| quasi_total(identity_on_carrier(X0),the_carrier(X0),X1)
| the_carrier(X0) = empty_set ),
inference(forward_subsumption_resolution,[],[f1291,f300]) ).
fof(f1294,plain,
! [X0,X1] :
( quasi_total(identity_on_carrier(X0),the_carrier(X0),X1)
| ~ subset(the_carrier(X0),X1)
| ~ one_sorted_str(X0)
| the_carrier(X0) = empty_set ),
inference(forward_subsumption_resolution,[],[f1293,f301]) ).
fof(f1296,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| apply(identity_on_carrier(X0),X1) = X1
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f1292,f857]) ).
fof(f1301,plain,
! [X0,X1] :
( apply(identity_on_carrier(X0),X1) = X1
| ~ one_sorted_str(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f1296]) ).
fof(f1320,plain,
! [X0,X1] :
( in(apply(identity_on_carrier(X0),X1),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ function(identity_on_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f988,f1292]) ).
fof(f1321,plain,
! [X0,X1] :
( in(apply(identity_on_carrier(X0),X1),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ function(identity_on_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f1320]) ).
fof(f1324,plain,
! [X0,X1] :
( in(apply(identity_on_carrier(X0),X1),the_carrier(X0))
| ~ function(identity_on_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f1321,f300]) ).
fof(f1327,plain,
! [X0,X1] :
( in(apply(identity_on_carrier(X0),X1),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f1324,f301]) ).
fof(f1409,plain,
! [X0,X1] :
( ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ function(identity_on_carrier(X0))
| ~ subset(the_carrier(X0),X1)
| relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),X1)
| the_carrier(X0) = empty_set
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f432,f299]) ).
fof(f1412,plain,
! [X0,X1] :
( ~ function(identity_on_carrier(X0))
| ~ subset(the_carrier(X0),X1)
| relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),X1)
| the_carrier(X0) = empty_set
| ~ one_sorted_str(X0) ),
inference(forward_subsumption_resolution,[],[f1409,f300]) ).
fof(f1416,plain,
! [X0,X1] :
( relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),X1)
| ~ subset(the_carrier(X0),X1)
| the_carrier(X0) = empty_set
| ~ one_sorted_str(X0) ),
inference(forward_subsumption_resolution,[],[f1412,f301]) ).
fof(f1647,plain,
( empty_carrier(sK34)
| ~ one_sorted_str(sK34)
| ~ spl37_14 ),
inference(resolution,[],[f1287,f342]) ).
fof(f1650,plain,
( ~ one_sorted_str(sK34)
| ~ spl37_14 ),
inference(forward_subsumption_resolution,[],[f1647,f414]) ).
fof(f1651,plain,
( $false
| ~ spl37_14 ),
inference(forward_subsumption_resolution,[],[f1650,f486]) ).
fof(f1652,plain,
~ spl37_14,
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1820,plain,
( ! [X2,X0,X1] :
( in(X0,the_carrier(sF36))
| ~ quasi_total(the_mapping(sK33,sK34),X1,X2)
| empty_set = X2
| ~ relation_of2_as_subset(the_mapping(sK33,sK34),X1,X2)
| ~ in(X0,X1)
| ~ in(apply_netmap(sK33,sK34,X0),sK35)
| ~ one_sorted_str(sK33)
| empty_carrier(sK33)
| ~ one_sorted_str(sK34)
| empty_carrier(sK34)
| ~ element(X0,the_carrier(sK34))
| ~ net_str(sK34,sK33) )
| ~ spl37_6 ),
inference(superposition,[],[f898,f640]) ).
fof(f1823,plain,
( ! [X2,X0,X1] :
( in(X0,the_carrier(sF36))
| ~ quasi_total(the_mapping(sK33,sK34),X1,X2)
| empty_set = X2
| ~ relation_of2_as_subset(the_mapping(sK33,sK34),X1,X2)
| ~ in(X0,X1)
| ~ in(apply_netmap(sK33,sK34,X0),sK35)
| empty_carrier(sK33)
| ~ one_sorted_str(sK34)
| empty_carrier(sK34)
| ~ element(X0,the_carrier(sK34))
| ~ net_str(sK34,sK33) )
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f1820,f415]) ).
fof(f1826,plain,
( ! [X2,X0,X1] :
( in(X0,the_carrier(sF36))
| ~ quasi_total(the_mapping(sK33,sK34),X1,X2)
| empty_set = X2
| ~ relation_of2_as_subset(the_mapping(sK33,sK34),X1,X2)
| ~ in(X0,X1)
| ~ in(apply_netmap(sK33,sK34,X0),sK35)
| ~ one_sorted_str(sK34)
| empty_carrier(sK34)
| ~ element(X0,the_carrier(sK34))
| ~ net_str(sK34,sK33) )
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f1823,f416]) ).
fof(f1827,plain,
( ! [X2,X0,X1] :
( in(X0,the_carrier(sF36))
| ~ quasi_total(the_mapping(sK33,sK34),X1,X2)
| empty_set = X2
| ~ relation_of2_as_subset(the_mapping(sK33,sK34),X1,X2)
| ~ in(X0,X1)
| ~ in(apply_netmap(sK33,sK34,X0),sK35)
| empty_carrier(sK34)
| ~ element(X0,the_carrier(sK34))
| ~ net_str(sK34,sK33) )
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f1826,f486]) ).
fof(f1828,plain,
( ! [X2,X0,X1] :
( in(X0,the_carrier(sF36))
| ~ quasi_total(the_mapping(sK33,sK34),X1,X2)
| empty_set = X2
| ~ relation_of2_as_subset(the_mapping(sK33,sK34),X1,X2)
| ~ in(X0,X1)
| ~ in(apply_netmap(sK33,sK34,X0),sK35)
| ~ element(X0,the_carrier(sK34))
| ~ net_str(sK34,sK33) )
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f1827,f414]) ).
fof(f1829,plain,
( ! [X2,X0,X1] :
( ~ relation_of2_as_subset(the_mapping(sK33,sK34),X1,X2)
| ~ quasi_total(the_mapping(sK33,sK34),X1,X2)
| empty_set = X2
| in(X0,the_carrier(sF36))
| ~ in(X0,X1)
| ~ in(apply_netmap(sK33,sK34,X0),sK35)
| ~ element(X0,the_carrier(sK34)) )
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f1828,f411]) ).
fof(f1830,plain,
( ! [X0] :
( ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| empty_set = the_carrier(sK33)
| in(X0,the_carrier(sF36))
| ~ in(X0,the_carrier(sK34))
| ~ in(apply_netmap(sK33,sK34,X0),sK35)
| ~ element(X0,the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_6 ),
inference(resolution,[],[f1829,f678]) ).
fof(f1837,plain,
( ! [X0] :
( ~ quasi_total(the_mapping(sK33,sK34),the_carrier(sK34),the_carrier(sK33))
| empty_set = the_carrier(sK33)
| in(X0,the_carrier(sF36))
| ~ in(X0,the_carrier(sK34))
| ~ in(apply_netmap(sK33,sK34,X0),sK35) )
| ~ spl37_3
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f1830,f404]) ).
fof(f1841,plain,
( ! [X0] :
( empty_set = the_carrier(sK33)
| in(X0,the_carrier(sF36))
| ~ in(X0,the_carrier(sK34))
| ~ in(apply_netmap(sK33,sK34,X0),sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6 ),
inference(forward_subsumption_resolution,[],[f1837,f635]) ).
fof(f1843,plain,
( ! [X0] :
( ~ in(apply_netmap(sK33,sK34,X0),sK35)
| ~ in(X0,the_carrier(sK34))
| in(X0,the_carrier(sF36)) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f1841,f688]) ).
fof(f1847,plain,
( ! [X0] :
( ~ in(sK1(sK33,sK34,sK35,X0),the_carrier(sK34))
| in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| empty_carrier(sK34)
| ~ element(X0,the_carrier(sK34))
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(resolution,[],[f1843,f256]) ).
fof(f1852,plain,
( ! [X0] :
( ~ in(sK1(sK33,sK34,sK35,X0),the_carrier(sK34))
| in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ net_str(sK34,sK33)
| empty_carrier(sK34)
| ~ element(X0,the_carrier(sK34))
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f1847,f416]) ).
fof(f1855,plain,
( ! [X0] :
( ~ in(sK1(sK33,sK34,sK35,X0),the_carrier(sK34))
| in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| empty_carrier(sK34)
| ~ element(X0,the_carrier(sK34))
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f1852,f411]) ).
fof(f1858,plain,
( ! [X0] :
( ~ in(sK1(sK33,sK34,sK35,X0),the_carrier(sK34))
| in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f1855,f414]) ).
fof(f1861,plain,
( ! [X0] :
( ~ in(sK1(sK33,sK34,sK35,X0),the_carrier(sK34))
| in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f1858,f415]) ).
fof(f1862,plain,
( ! [X0] :
( ~ in(sK1(sK33,sK34,sK35,X0),the_carrier(sK34))
| in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(forward_subsumption_resolution,[],[f1861,f409]) ).
fof(f1863,plain,
( ! [X0] :
( in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| empty(the_carrier(sK34))
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| empty_carrier(sK34)
| ~ element(X0,the_carrier(sK34))
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(resolution,[],[f1862,f526]) ).
fof(f1864,plain,
( ! [X0] :
( in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| empty(the_carrier(sK34))
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| empty_carrier(sK34)
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8 ),
inference(duplicate_literal_removal,[],[f1863]) ).
fof(f1865,plain,
( ! [X0] :
( in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| empty_carrier(sK33)
| ~ net_str(sK34,sK33)
| empty_carrier(sK34)
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14 ),
inference(forward_subsumption_resolution,[],[f1864,f1288]) ).
fof(f1866,plain,
( ! [X0] :
( in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| ~ net_str(sK34,sK33)
| empty_carrier(sK34)
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14 ),
inference(forward_subsumption_resolution,[],[f1865,f416]) ).
fof(f1867,plain,
( ! [X0] :
( in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| empty_carrier(sK34)
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14 ),
inference(forward_subsumption_resolution,[],[f1866,f411]) ).
fof(f1868,plain,
( ! [X0] :
( in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| ~ one_sorted_str(sK33)
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14 ),
inference(forward_subsumption_resolution,[],[f1867,f414]) ).
fof(f1869,plain,
( ! [X0] :
( in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34))
| ~ is_often_in(sK33,sK34,sK35) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14 ),
inference(forward_subsumption_resolution,[],[f1868,f415]) ).
fof(f1870,plain,
( ! [X0] :
( in(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14 ),
inference(forward_subsumption_resolution,[],[f1869,f409]) ).
fof(f1874,plain,
( ! [X0] :
( element(sK1(sK33,sK34,sK35,X0),the_carrier(sF36))
| ~ element(X0,the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14 ),
inference(resolution,[],[f1870,f404]) ).
fof(f1981,plain,
! [X2,X0,X1] :
( the_mapping(X1,X0) = relation_composition(identity_on_carrier(X0),the_mapping(X1,X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| ~ subnetstr(X0,X1,X2)
| ~ relation(the_mapping(X1,X2))
| ~ one_sorted_str(X0) ),
inference(superposition,[],[f1118,f793]) ).
fof(f1992,plain,
! [X2,X0,X1] :
( the_mapping(X1,X0) = relation_composition(identity_on_carrier(X0),the_mapping(X1,X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| ~ subnetstr(X0,X1,X2)
| ~ one_sorted_str(X0) ),
inference(forward_subsumption_resolution,[],[f1981,f790]) ).
fof(f2435,definition,
( spl37_34
<=> empty_set = the_carrier(sF36) ),
introduced(definition,[new_symbols(definition,[spl37_34])],[avatar_definition]) ).
fof(f2436,plain,
( empty_set != the_carrier(sF36)
| spl37_34 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f2437,plain,
( empty_set = the_carrier(sF36)
| ~ spl37_34 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f2488,plain,
( ~ empty(empty_set)
| empty_carrier(sF36)
| ~ one_sorted_str(sF36)
| ~ spl37_34 ),
inference(superposition,[],[f342,f2437]) ).
fof(f2579,plain,
( empty_carrier(sF36)
| ~ one_sorted_str(sF36)
| ~ spl37_34 ),
inference(forward_subsumption_resolution,[],[f2488,f349]) ).
fof(f2626,plain,
( ~ one_sorted_str(sF36)
| ~ spl37_34 ),
inference(forward_subsumption_resolution,[],[f2579,f475]) ).
fof(f2651,plain,
( $false
| ~ spl37_34 ),
inference(forward_subsumption_resolution,[],[f2626,f777]) ).
fof(f2652,plain,
~ spl37_34,
inference(avatar_contradiction_clause,[],[f2651]) ).
fof(f2702,plain,
( ! [X0] :
( ~ one_sorted_str(sF36)
| empty_carrier(sF36)
| ~ element(X0,the_carrier(sF36))
| element(apply(identity_on_carrier(sF36),X0),the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(resolution,[],[f1327,f881]) ).
fof(f2710,plain,
( ! [X0] :
( empty_carrier(sF36)
| ~ element(X0,the_carrier(sF36))
| element(apply(identity_on_carrier(sF36),X0),the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f2702,f777]) ).
fof(f2717,plain,
( ! [X0] :
( element(apply(identity_on_carrier(sF36),X0),the_carrier(sK34))
| ~ element(X0,the_carrier(sF36)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f2710,f475]) ).
fof(f2840,plain,
( ! [X0] :
( element(X0,the_carrier(sK34))
| ~ element(X0,the_carrier(sF36))
| ~ one_sorted_str(sF36)
| ~ element(X0,the_carrier(sF36))
| empty_carrier(sF36) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(superposition,[],[f2717,f1301]) ).
fof(f2841,plain,
( ! [X0] :
( element(X0,the_carrier(sK34))
| ~ element(X0,the_carrier(sF36))
| ~ one_sorted_str(sF36)
| empty_carrier(sF36) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(duplicate_literal_removal,[],[f2840]) ).
fof(f2842,plain,
( ! [X0] :
( element(X0,the_carrier(sK34))
| ~ element(X0,the_carrier(sF36))
| empty_carrier(sF36) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f2841,f777]) ).
fof(f2843,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sF36))
| element(X0,the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f2842,f475]) ).
fof(f5155,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,identity_on_carrier(X1),X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ function(identity_on_carrier(X1))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(superposition,[],[f556,f1992]) ).
fof(f5156,plain,
! [X2,X3,X0,X1] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,identity_on_carrier(X1)),the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ function(identity_on_carrier(X1))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(superposition,[],[f555,f1992]) ).
fof(f5157,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,identity_on_carrier(X1)),apply_on_set_and_struct(the_carrier(X3),X2,identity_on_carrier(X1),sK5(X2,X3,identity_on_carrier(X1),X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ function(identity_on_carrier(X1))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(superposition,[],[f558,f1992]) ).
fof(f5158,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,identity_on_carrier(X1),X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ function(identity_on_carrier(X1))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(superposition,[],[f557,f1992]) ).
fof(f5165,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,identity_on_carrier(X1),X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ function(identity_on_carrier(X1))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(duplicate_literal_removal,[],[f5158]) ).
fof(f5166,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,identity_on_carrier(X1)),apply_on_set_and_struct(the_carrier(X3),X2,identity_on_carrier(X1),sK5(X2,X3,identity_on_carrier(X1),X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ function(identity_on_carrier(X1))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(duplicate_literal_removal,[],[f5157]) ).
fof(f5167,plain,
! [X2,X3,X0,X1] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,identity_on_carrier(X1)),the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ function(identity_on_carrier(X1))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(duplicate_literal_removal,[],[f5156]) ).
fof(f5168,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,identity_on_carrier(X1),X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ function(identity_on_carrier(X1))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(duplicate_literal_removal,[],[f5155]) ).
fof(f5176,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| related(X3,X4,sK5(X2,X3,identity_on_carrier(X1),X4))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(forward_subsumption_resolution,[],[f5165,f301]) ).
fof(f5177,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| ~ related(X2,sK3(X2,X3,identity_on_carrier(X1)),apply_on_set_and_struct(the_carrier(X3),X2,identity_on_carrier(X1),sK5(X2,X3,identity_on_carrier(X1),X4)))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(forward_subsumption_resolution,[],[f5166,f301]) ).
fof(f5178,plain,
! [X2,X3,X0,X1] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK3(X2,X3,identity_on_carrier(X1)),the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(forward_subsumption_resolution,[],[f5167,f301]) ).
fof(f5179,plain,
! [X2,X3,X0,X1,X4] :
( the_mapping(X0,X1) != the_mapping(X0,X3)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ net_str(X3,X0)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| empty_carrier(X3)
| element(sK5(X2,X3,identity_on_carrier(X1),X4),the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X3),the_carrier(X2))
| subnet(X3,X0,X2)
| empty(the_carrier(X2))
| ~ subnetstr(X1,X0,X2)
| ~ one_sorted_str(X1) ),
inference(forward_subsumption_resolution,[],[f5168,f301]) ).
fof(f5184,plain,
! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| related(X2,X3,sK5(X1,X2,identity_on_carrier(X2),X3))
| ~ element(X3,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| subnet(X2,X0,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X2) ),
inference(equality_resolution,[],[f5176]) ).
fof(f5185,plain,
! [X2,X3,X0,X1] :
( related(X2,X3,sK5(X1,X2,identity_on_carrier(X2),X3))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| subnet(X2,X0,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X2) ),
inference(forward_subsumption_resolution,[],[f5184,f308]) ).
fof(f5191,plain,
! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34))
| ~ element(X2,the_carrier(sF36))
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sF36))
| ~ element(X2,the_carrier(sK34))
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) ),
inference(resolution,[],[f5185,f602]) ).
fof(f5192,plain,
! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34))
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sF36))
| ~ element(X2,the_carrier(sK34))
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) ),
inference(duplicate_literal_removal,[],[f5191]) ).
fof(f5198,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34))
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sF36))
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5192,f2843]) ).
fof(f5202,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sF36))
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5198,f2843]) ).
fof(f5203,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sF36))
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5202,f483]) ).
fof(f5204,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sF36))
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5203,f467]) ).
fof(f5205,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sF36))
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5204,f475]) ).
fof(f5206,plain,
( ! [X2,X0,X1] :
( ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sF36))
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ net_str(X0,X1)
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5205,f777]) ).
fof(f5207,plain,
! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ related(X1,sK3(X1,X2,identity_on_carrier(X2)),apply_on_set_and_struct(the_carrier(X2),X1,identity_on_carrier(X2),sK5(X1,X2,identity_on_carrier(X2),X3)))
| ~ element(X3,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| subnet(X2,X0,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X2) ),
inference(equality_resolution,[],[f5177]) ).
fof(f5208,plain,
! [X2,X3,X0,X1] :
( ~ related(X1,sK3(X1,X2,identity_on_carrier(X2)),apply_on_set_and_struct(the_carrier(X2),X1,identity_on_carrier(X2),sK5(X1,X2,identity_on_carrier(X2),X3)))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| subnet(X2,X0,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X2) ),
inference(forward_subsumption_resolution,[],[f5207,f308]) ).
fof(f5209,plain,
! [X2,X3,X0,X1] :
( ~ related(X1,sK3(X1,X0,identity_on_carrier(X0)),apply(identity_on_carrier(X0),sK5(X1,X0,identity_on_carrier(X0),X2)))
| ~ net_str(X1,X3)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X0))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| subnet(X0,X3,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X0,X3,X1)
| ~ one_sorted_str(X0)
| ~ relation_of2(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ function(identity_on_carrier(X0))
| ~ rel_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X0))
| ~ element(sK5(X1,X0,identity_on_carrier(X0),X2),the_carrier(X0)) ),
inference(superposition,[],[f5208,f394]) ).
fof(f5210,plain,
! [X2,X3,X0,X1] :
( ~ related(X1,sK3(X1,X0,identity_on_carrier(X0)),apply(identity_on_carrier(X0),sK5(X1,X0,identity_on_carrier(X0),X2)))
| ~ net_str(X1,X3)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X0))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| subnet(X0,X3,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X0,X3,X1)
| ~ one_sorted_str(X0)
| ~ relation_of2(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ function(identity_on_carrier(X0))
| ~ rel_str(X1)
| empty(the_carrier(X0))
| ~ element(sK5(X1,X0,identity_on_carrier(X0),X2),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f5209]) ).
fof(f5211,plain,
! [X2,X3,X0,X1] :
( ~ related(X1,sK3(X1,X0,identity_on_carrier(X0)),apply(identity_on_carrier(X0),sK5(X1,X0,identity_on_carrier(X0),X2)))
| ~ net_str(X1,X3)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X0))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| subnet(X0,X3,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X0,X3,X1)
| ~ one_sorted_str(X0)
| ~ function(identity_on_carrier(X0))
| ~ rel_str(X1)
| empty(the_carrier(X0))
| ~ element(sK5(X1,X0,identity_on_carrier(X0),X2),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f5210,f401]) ).
fof(f5212,plain,
! [X2,X3,X0,X1] :
( ~ related(X1,sK3(X1,X0,identity_on_carrier(X0)),apply(identity_on_carrier(X0),sK5(X1,X0,identity_on_carrier(X0),X2)))
| ~ net_str(X1,X3)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X0))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| subnet(X0,X3,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X0,X3,X1)
| ~ one_sorted_str(X0)
| ~ function(identity_on_carrier(X0))
| ~ rel_str(X1)
| ~ element(sK5(X1,X0,identity_on_carrier(X0),X2),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f5211,f342]) ).
fof(f5213,plain,
! [X2,X3,X0,X1] :
( ~ related(X1,sK3(X1,X0,identity_on_carrier(X0)),apply(identity_on_carrier(X0),sK5(X1,X0,identity_on_carrier(X0),X2)))
| ~ net_str(X1,X3)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X0))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| subnet(X0,X3,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X0,X3,X1)
| ~ one_sorted_str(X0)
| ~ rel_str(X1)
| ~ element(sK5(X1,X0,identity_on_carrier(X0),X2),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f5212,f301]) ).
fof(f5214,plain,
! [X2,X3,X0,X1] :
( ~ related(X1,sK3(X1,X0,identity_on_carrier(X0)),apply(identity_on_carrier(X0),sK5(X1,X0,identity_on_carrier(X0),X2)))
| ~ net_str(X1,X3)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X0))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X1))
| subnet(X0,X3,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X0,X3,X1)
| ~ one_sorted_str(X0)
| ~ element(sK5(X1,X0,identity_on_carrier(X0),X2),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f5213,f306]) ).
fof(f5215,plain,
! [X2,X3,X0,X1] :
( ~ related(X0,sK3(X0,X1,identity_on_carrier(X1)),sK5(X0,X1,identity_on_carrier(X1),X2))
| ~ net_str(X0,X3)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X1))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X0))
| subnet(X1,X3,X0)
| empty(the_carrier(X0))
| ~ subnetstr(X1,X3,X0)
| ~ one_sorted_str(X1)
| ~ element(sK5(X0,X1,identity_on_carrier(X1),X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ element(sK5(X0,X1,identity_on_carrier(X1),X2),the_carrier(X1))
| empty_carrier(X1) ),
inference(superposition,[],[f5214,f1301]) ).
fof(f5216,plain,
! [X2,X3,X0,X1] :
( ~ related(X0,sK3(X0,X1,identity_on_carrier(X1)),sK5(X0,X1,identity_on_carrier(X1),X2))
| ~ net_str(X0,X3)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X1))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X0))
| subnet(X1,X3,X0)
| empty(the_carrier(X0))
| ~ subnetstr(X1,X3,X0)
| ~ one_sorted_str(X1)
| ~ element(sK5(X0,X1,identity_on_carrier(X1),X2),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f5215]) ).
fof(f5217,plain,
! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| element(sK5(X1,X2,identity_on_carrier(X2),X3),the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| subnet(X2,X0,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X2) ),
inference(equality_resolution,[],[f5179]) ).
fof(f5218,plain,
! [X2,X3,X0,X1] :
( element(sK5(X1,X2,identity_on_carrier(X2),X3),the_carrier(X2))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| subnet(X2,X0,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X2) ),
inference(forward_subsumption_resolution,[],[f5217,f308]) ).
fof(f5219,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X3)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X3,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(resolution,[],[f5218,f5206]) ).
fof(f5221,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(resolution,[],[f5218,f2843]) ).
fof(f5225,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(duplicate_literal_removal,[],[f5219]) ).
fof(f5228,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5221,f483]) ).
fof(f5229,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5225,f483]) ).
fof(f5231,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5228,f467]) ).
fof(f5232,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(sF36)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5229,f467]) ).
fof(f5234,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5231,f475]) ).
fof(f5235,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ one_sorted_str(sF36)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2)) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5232,f475]) ).
fof(f5237,plain,
( ! [X2,X0,X1] :
( element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34))
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| ~ net_str(X0,X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5234,f777]) ).
fof(f5238,plain,
( ! [X2,X3,X0,X1] :
( related(sK34,X2,sK5(X0,sF36,identity_on_carrier(sF36),X2))
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| ~ net_str(X0,X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5235,f777]) ).
fof(f5239,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| ~ net_str(X0,X1)
| ~ element(X4,the_carrier(sK34))
| ~ element(X2,the_carrier(sK34))
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34))
| ~ rel_str(sK34)
| ~ related(sK34,X4,X2)
| related(sK34,X4,sK5(X0,sF36,identity_on_carrier(sF36),X2))
| ~ transitive_relstr(sK34) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(resolution,[],[f5238,f274]) ).
fof(f5242,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| ~ net_str(X0,X1)
| ~ element(X4,the_carrier(sK34))
| ~ element(sK5(X0,sF36,identity_on_carrier(sF36),X2),the_carrier(sK34))
| ~ rel_str(sK34)
| ~ related(sK34,X4,X2)
| related(sK34,X4,sK5(X0,sF36,identity_on_carrier(sF36),X2))
| ~ transitive_relstr(sK34) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5239,f2843]) ).
fof(f5244,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| ~ net_str(X0,X1)
| ~ element(X4,the_carrier(sK34))
| ~ rel_str(sK34)
| ~ related(sK34,X4,X2)
| related(sK34,X4,sK5(X0,sF36,identity_on_carrier(sF36),X2))
| ~ transitive_relstr(sK34) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5242,f5237]) ).
fof(f5245,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| ~ net_str(X0,X1)
| ~ element(X4,the_carrier(sK34))
| ~ related(sK34,X4,X2)
| related(sK34,X4,sK5(X0,sF36,identity_on_carrier(sF36),X2))
| ~ transitive_relstr(sK34) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5244,f485]) ).
fof(f5246,plain,
( ! [X2,X3,X0,X1,X4] :
( related(sK34,X4,sK5(X0,sF36,identity_on_carrier(sF36),X2))
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ element(X2,the_carrier(sF36))
| ~ one_sorted_str(X1)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(X0))
| subnet(sF36,X1,X0)
| empty(the_carrier(X0))
| ~ subnetstr(sF36,X1,X0)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,X0)
| ~ subnetstr(sF36,X3,X0)
| ~ net_str(X0,X3)
| ~ net_str(X0,X1)
| ~ element(X4,the_carrier(sK34))
| ~ related(sK34,X4,X2)
| ~ directed_relstr(X0) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5245,f413]) ).
fof(f5260,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| element(sK3(X1,X2,identity_on_carrier(X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| subnet(X2,X0,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X2) ),
inference(equality_resolution,[],[f5178]) ).
fof(f5261,plain,
! [X2,X0,X1] :
( element(sK3(X1,X2,identity_on_carrier(X2)),the_carrier(X1))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| ~ quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X1))
| subnet(X2,X0,X1)
| empty(the_carrier(X1))
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X2) ),
inference(forward_subsumption_resolution,[],[f5260,f308]) ).
fof(f5297,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| ~ element(sK5(sK34,sF36,identity_on_carrier(sF36),X1),the_carrier(sF36))
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| empty_carrier(X2)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X2)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X2,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1)
| ~ directed_relstr(sK34) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(resolution,[],[f5216,f5246]) ).
fof(f5298,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| ~ element(sK5(sK34,sF36,identity_on_carrier(sF36),X1),the_carrier(sF36))
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(duplicate_literal_removal,[],[f5297]) ).
fof(f5301,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| ~ element(sK5(sK34,sF36,identity_on_carrier(sF36),X1),the_carrier(sF36))
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5298,f5261]) ).
fof(f5304,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5301,f5218]) ).
fof(f5307,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5304,f412]) ).
fof(f5310,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5307,f413]) ).
fof(f5312,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5310,f414]) ).
fof(f5314,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5312,f483]) ).
fof(f5316,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5314,f467]) ).
fof(f5318,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5 ),
inference(forward_subsumption_resolution,[],[f5316,f475]) ).
fof(f5320,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_14 ),
inference(forward_subsumption_resolution,[],[f5318,f1288]) ).
fof(f5322,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK34,X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sF36))
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| ~ subnetstr(sF36,X0,sK34)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| subnet(sF36,X2,sK34)
| ~ subnetstr(sF36,X2,sK34)
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| subnet(sF36,X3,sK34)
| ~ subnetstr(sF36,X3,sK34)
| ~ net_str(sK34,X3)
| ~ net_str(sK34,X2)
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) )
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_14 ),
inference(forward_subsumption_resolution,[],[f5320,f777]) ).
fof(f5324,definition,
( spl37_61
<=> ! [X2] :
( empty_carrier(X2)
| ~ net_str(sK34,X2)
| ~ subnetstr(sF36,X2,sK34)
| subnet(sF36,X2,sK34)
| ~ one_sorted_str(X2) ) ),
introduced(definition,[new_symbols(definition,[spl37_61])],[avatar_definition]) ).
fof(f5325,plain,
( ! [X2] :
( ~ subnetstr(sF36,X2,sK34)
| ~ net_str(sK34,X2)
| empty_carrier(X2)
| subnet(sF36,X2,sK34)
| ~ one_sorted_str(X2) )
| ~ spl37_61 ),
inference(avatar_component_clause,[],[f5324]) ).
fof(f5327,definition,
( spl37_62
<=> quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34)) ),
introduced(definition,[new_symbols(definition,[spl37_62])],[avatar_definition]) ).
fof(f5328,plain,
( quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ spl37_62 ),
inference(avatar_component_clause,[],[f5327]) ).
fof(f5329,plain,
( ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| spl37_62 ),
inference(avatar_component_clause,[],[f5327]) ).
fof(f5331,definition,
( spl37_63
<=> relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34)) ),
introduced(definition,[new_symbols(definition,[spl37_63])],[avatar_definition]) ).
fof(f5332,plain,
( relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ spl37_63 ),
inference(avatar_component_clause,[],[f5331]) ).
fof(f5333,plain,
( ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| spl37_63 ),
inference(avatar_component_clause,[],[f5331]) ).
fof(f5339,plain,
( ~ subset(the_carrier(sF36),the_carrier(sK34))
| ~ one_sorted_str(sF36)
| empty_set = the_carrier(sF36)
| spl37_62 ),
inference(resolution,[],[f5329,f1294]) ).
fof(f5340,plain,
( ~ one_sorted_str(sF36)
| empty_set = the_carrier(sF36)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_62 ),
inference(forward_subsumption_resolution,[],[f5339,f974]) ).
fof(f5341,plain,
( empty_set = the_carrier(sF36)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_62 ),
inference(forward_subsumption_resolution,[],[f5340,f777]) ).
fof(f5342,plain,
( $false
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_34
| spl37_62 ),
inference(forward_subsumption_resolution,[],[f5341,f2436]) ).
fof(f5343,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_34
| spl37_62 ),
inference(avatar_contradiction_clause,[],[f5342]) ).
fof(f5345,definition,
( spl37_65
<=> ! [X1] :
( ~ element(X1,the_carrier(sF36))
| ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1) ) ),
introduced(definition,[new_symbols(definition,[spl37_65])],[avatar_definition]) ).
fof(f5346,plain,
( ! [X1] :
( ~ related(sK34,sK3(sK34,sF36,identity_on_carrier(sF36)),X1)
| ~ element(X1,the_carrier(sF36)) )
| ~ spl37_65 ),
inference(avatar_component_clause,[],[f5345]) ).
fof(f5347,plain,
( spl37_61
| spl37_61
| ~ spl37_62
| ~ spl37_63
| spl37_65
| spl37_61
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_14 ),
inference(avatar_split_clause,[],[f5322,f1286,f634,f630,f626,f5324,f5345,f5331,f5327,f5324,f5324]) ).
fof(f6958,plain,
( ~ subset(the_carrier(sF36),the_carrier(sK34))
| empty_set = the_carrier(sF36)
| ~ one_sorted_str(sF36)
| spl37_63 ),
inference(resolution,[],[f1416,f5333]) ).
fof(f6970,plain,
( empty_set = the_carrier(sF36)
| ~ one_sorted_str(sF36)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_63 ),
inference(forward_subsumption_resolution,[],[f6958,f974]) ).
fof(f6974,plain,
( ~ one_sorted_str(sF36)
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_34
| spl37_63 ),
inference(forward_subsumption_resolution,[],[f6970,f2436]) ).
fof(f6976,plain,
( $false
| ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_34
| spl37_63 ),
inference(forward_subsumption_resolution,[],[f6974,f777]) ).
fof(f6977,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_34
| spl37_63 ),
inference(avatar_contradiction_clause,[],[f6976]) ).
fof(f6978,plain,
( ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| subnet(sF36,sK33,sK34)
| ~ one_sorted_str(sK33)
| ~ spl37_61 ),
inference(resolution,[],[f5325,f504]) ).
fof(f6979,plain,
( empty_carrier(sK33)
| subnet(sF36,sK33,sK34)
| ~ one_sorted_str(sK33)
| ~ spl37_61 ),
inference(forward_subsumption_resolution,[],[f6978,f411]) ).
fof(f6980,plain,
( subnet(sF36,sK33,sK34)
| ~ one_sorted_str(sK33)
| ~ spl37_61 ),
inference(forward_subsumption_resolution,[],[f6979,f416]) ).
fof(f6981,plain,
( ~ one_sorted_str(sK33)
| ~ spl37_61 ),
inference(forward_subsumption_resolution,[],[f6980,f437]) ).
fof(f6982,plain,
( $false
| ~ spl37_61 ),
inference(forward_subsumption_resolution,[],[f6981,f415]) ).
fof(f6983,plain,
~ spl37_61,
inference(avatar_contradiction_clause,[],[f6982]) ).
fof(f6997,plain,
( ! [X0,X1] :
( ~ element(sK1(X0,sK34,X1,sK3(sK34,sF36,identity_on_carrier(sF36))),the_carrier(sF36))
| empty_carrier(X0)
| ~ net_str(sK34,X0)
| empty_carrier(sK34)
| ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ one_sorted_str(X0)
| ~ is_often_in(X0,sK34,X1) )
| ~ spl37_65 ),
inference(resolution,[],[f5346,f257]) ).
fof(f7004,plain,
( ! [X0,X1] :
( ~ element(sK1(X0,sK34,X1,sK3(sK34,sF36,identity_on_carrier(sF36))),the_carrier(sF36))
| empty_carrier(X0)
| ~ net_str(sK34,X0)
| ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ one_sorted_str(X0)
| ~ is_often_in(X0,sK34,X1) )
| ~ spl37_65 ),
inference(forward_subsumption_resolution,[],[f6997,f414]) ).
fof(f7016,definition,
( spl37_84
<=> element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34)) ),
introduced(definition,[new_symbols(definition,[spl37_84])],[avatar_definition]) ).
fof(f7017,plain,
( element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ spl37_84 ),
inference(avatar_component_clause,[],[f7016]) ).
fof(f7018,plain,
( ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| spl37_84 ),
inference(avatar_component_clause,[],[f7016]) ).
fof(f7020,definition,
( spl37_85
<=> ! [X0,X1] :
( ~ element(sK1(X0,sK34,X1,sK3(sK34,sF36,identity_on_carrier(sF36))),the_carrier(sF36))
| ~ is_often_in(X0,sK34,X1)
| ~ one_sorted_str(X0)
| ~ net_str(sK34,X0)
| empty_carrier(X0) ) ),
introduced(definition,[new_symbols(definition,[spl37_85])],[avatar_definition]) ).
fof(f7021,plain,
( ! [X0,X1] :
( ~ element(sK1(X0,sK34,X1,sK3(sK34,sF36,identity_on_carrier(sF36))),the_carrier(sF36))
| ~ is_often_in(X0,sK34,X1)
| ~ one_sorted_str(X0)
| ~ net_str(sK34,X0)
| empty_carrier(X0) )
| ~ spl37_85 ),
inference(avatar_component_clause,[],[f7020]) ).
fof(f7022,plain,
( ~ spl37_84
| spl37_85
| ~ spl37_65 ),
inference(avatar_split_clause,[],[f7004,f5345,f7020,f7016]) ).
fof(f7023,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| ~ directed_relstr(sK34)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| spl37_84 ),
inference(resolution,[],[f7018,f5261]) ).
fof(f7024,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| ~ transitive_relstr(sK34)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7023,f412]) ).
fof(f7025,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| empty_carrier(sK34)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7024,f413]) ).
fof(f7026,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| ~ directed_relstr(sF36)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7025,f414]) ).
fof(f7027,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| ~ transitive_relstr(sF36)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7026,f483]) ).
fof(f7028,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| empty_carrier(sF36)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7027,f467]) ).
fof(f7029,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ relation_of2_as_subset(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7028,f475]) ).
fof(f7030,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ quasi_total(identity_on_carrier(sF36),the_carrier(sF36),the_carrier(sK34))
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| ~ spl37_63
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7029,f5332]) ).
fof(f7031,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| subnet(sF36,X0,sK34)
| empty(the_carrier(sK34))
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| ~ spl37_62
| ~ spl37_63
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7030,f5328]) ).
fof(f7032,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| subnet(sF36,X0,sK34)
| ~ subnetstr(sF36,X0,sK34)
| ~ one_sorted_str(sF36) )
| spl37_14
| ~ spl37_62
| ~ spl37_63
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7031,f1288]) ).
fof(f7033,plain,
( ! [X0] :
( ~ net_str(sK34,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| subnet(sF36,X0,sK34)
| ~ subnetstr(sF36,X0,sK34) )
| spl37_14
| ~ spl37_62
| ~ spl37_63
| spl37_84 ),
inference(forward_subsumption_resolution,[],[f7032,f777]) ).
fof(f7034,plain,
( spl37_61
| spl37_14
| ~ spl37_62
| ~ spl37_63
| spl37_84 ),
inference(avatar_split_clause,[],[f7033,f7016,f5331,f5327,f1286,f5324]) ).
fof(f7035,plain,
( ~ is_often_in(sK33,sK34,sK35)
| ~ one_sorted_str(sK33)
| ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14
| ~ spl37_85 ),
inference(resolution,[],[f7021,f1874]) ).
fof(f7036,plain,
( ~ one_sorted_str(sK33)
| ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14
| ~ spl37_85 ),
inference(forward_subsumption_resolution,[],[f7035,f409]) ).
fof(f7037,plain,
( ~ net_str(sK34,sK33)
| empty_carrier(sK33)
| ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14
| ~ spl37_85 ),
inference(forward_subsumption_resolution,[],[f7036,f415]) ).
fof(f7038,plain,
( empty_carrier(sK33)
| ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14
| ~ spl37_85 ),
inference(forward_subsumption_resolution,[],[f7037,f411]) ).
fof(f7039,plain,
( ~ element(sK3(sK34,sF36,identity_on_carrier(sF36)),the_carrier(sK34))
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14
| ~ spl37_85 ),
inference(forward_subsumption_resolution,[],[f7038,f416]) ).
fof(f7040,plain,
( $false
| ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14
| ~ spl37_84
| ~ spl37_85 ),
inference(forward_subsumption_resolution,[],[f7039,f7017]) ).
fof(f7041,plain,
( ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14
| ~ spl37_84
| ~ spl37_85 ),
inference(avatar_contradiction_clause,[],[f7040]) ).
cnf(s2,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_6 ),
inference(sat_conversion,[],[f641]) ).
cnf(s3,plain,
spl37_3,
inference(sat_conversion,[],[f645]) ).
cnf(s5,plain,
spl37_4,
inference(sat_conversion,[],[f655]) ).
cnf(s7,plain,
spl37_5,
inference(sat_conversion,[],[f665]) ).
cnf(s12,plain,
~ spl37_8,
inference(sat_conversion,[],[f1111]) ).
cnf(s18,plain,
~ spl37_14,
inference(sat_conversion,[],[f1652]) ).
cnf(s33,plain,
~ spl37_34,
inference(sat_conversion,[],[f2652]) ).
cnf(s61,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_34
| spl37_62 ),
inference(sat_conversion,[],[f5343]) ).
cnf(s62,plain,
( spl37_61
| spl37_61
| ~ spl37_5
| spl37_14
| ~ spl37_3
| ~ spl37_4
| spl37_61
| ~ spl37_62
| ~ spl37_63
| spl37_65 ),
inference(sat_conversion,[],[f5347]) ).
cnf(s63,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_14
| spl37_61
| ~ spl37_62
| ~ spl37_63
| spl37_65 ),
inference(rat,[],[s62]) ).
cnf(s79,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_34
| spl37_63 ),
inference(sat_conversion,[],[f6977]) ).
cnf(s80,plain,
~ spl37_61,
inference(sat_conversion,[],[f6983]) ).
cnf(s81,plain,
( ~ spl37_65
| ~ spl37_84
| spl37_85 ),
inference(sat_conversion,[],[f7022]) ).
cnf(s82,plain,
( spl37_14
| spl37_61
| ~ spl37_62
| ~ spl37_63
| spl37_84 ),
inference(sat_conversion,[],[f7034]) ).
cnf(s83,plain,
( ~ spl37_3
| ~ spl37_5
| ~ spl37_6
| spl37_8
| spl37_14
| ~ spl37_84
| ~ spl37_85 ),
inference(sat_conversion,[],[f7041]) ).
cnf(s85,plain,
( ~ spl37_3
| ~ spl37_4
| ~ spl37_5
| spl37_14
| ~ spl37_62
| ~ spl37_63
| spl37_65 ),
inference(rat,[],[s63,s80]) ).
cnf(s100,plain,
spl37_63,
inference(rat,[],[s79,s5,s33,s7,s3]) ).
cnf(s101,plain,
spl37_62,
inference(rat,[],[s61,s5,s33,s7,s3]) ).
cnf(s107,plain,
spl37_84,
inference(rat,[],[s82,s100,s18,s80,s101]) ).
cnf(s108,plain,
spl37_65,
inference(rat,[],[s85,s3,s100,s5,s18,s7,s101]) ).
cnf(s116,plain,
spl37_85,
inference(rat,[],[s81,s107,s108]) ).
cnf(s117,plain,
~ spl37_6,
inference(rat,[],[s83,s107,s3,s18,s12,s7,s116]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s2,s117,s7,s5,s3]) ).
fof(f7042,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU378+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 05:03:29 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 9.65/2.26 % (3000219)Detected formulas, will run a generic FOF schedule.
% 9.65/2.26 % (3000228)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=617195746:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.65/2.26 % (3000225)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=3316884111:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.65/2.26 % (3000224)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=3529346633:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.65/2.26 % (3000226)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=1118909272:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.65/2.26 % (3000227)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2411750462:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.65/2.26 % (3000230)dis-21_1_sil=8000:lcm=predicate:random_seed=3227375882: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)
% 9.65/2.26 % (3000229)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1942170460:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.65/2.26 % (3000228)Instruction limit reached!
% 9.65/2.26 % (3000228)------------------------------
% 9.65/2.26 % (3000228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.26 % (3000228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.26 % (3000228)CaDiCaL version: 2.1.3
% 9.65/2.26 % (3000228)Termination reason: Instruction limit
% 9.65/2.26 % (3000228)Termination phase: Saturation
% 9.65/2.26 % (3000228)Time elapsed: 0.038 s
% 9.65/2.26 % (3000228)Peak memory usage: 89 MB
% 9.65/2.26 % (3000228)Instructions burned: 121 (million)
% 9.65/2.26 % (3000227)Refutation not found, incomplete strategy
% 9.65/2.26 % (3000227)------------------------------
% 9.65/2.26 % (3000227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.26 % (3000227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.26 % (3000227)CaDiCaL version: 2.1.3
% 9.65/2.26 % (3000227)Termination reason: Refutation not found, incomplete strategy
% 9.65/2.26 % (3000227)Time elapsed: 0.002 s
% 9.65/2.26 % (3000227)Peak memory usage: 88 MB
% 9.65/2.26 % (3000227)Instructions burned: 2 (million)
% 9.65/2.26 % (3000230)Instruction limit reached!
% 9.65/2.26 % (3000230)------------------------------
% 9.65/2.26 % (3000230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.26 % (3000230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.26 % (3000230)CaDiCaL version: 2.1.3
% 9.65/2.26 % (3000230)Termination reason: Instruction limit
% 9.65/2.26 % (3000230)Termination phase: Saturation
% 9.65/2.26 % (3000230)Time elapsed: 0.069 s
% 9.65/2.26 % (3000230)Peak memory usage: 90 MB
% 9.65/2.26 % (3000230)Instructions burned: 131 (million)
% 9.65/2.26 % (3000238)lrs+10_1_sil=8000:sp=occurrence:random_seed=1572618585:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.65/2.26 % (3000229)Instruction limit reached!
% 9.65/2.26 % (3000229)------------------------------
% 9.65/2.26 % (3000229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.26 % (3000229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.26 % (3000229)CaDiCaL version: 2.1.3
% 9.65/2.26 % (3000229)Termination reason: Instruction limit
% 9.65/2.26 % (3000229)Termination phase: Saturation
% 9.65/2.26 % (3000229)Time elapsed: 0.096 s
% 9.65/2.26 % (3000229)Peak memory usage: 90 MB
% 9.65/2.26 % (3000229)Instructions burned: 140 (million)
% 9.65/2.26 % (3000238)Instruction limit reached!
% 9.65/2.26 % (3000238)------------------------------
% 9.65/2.26 % (3000238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.26 % (3000238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.26 % (3000238)CaDiCaL version: 2.1.3
% 9.65/2.26 % (3000238)Termination reason: Instruction limit
% 9.65/2.26 % (3000238)Termination phase: Saturation
% 9.65/2.26 % (3000238)Time elapsed: 0.094 s
% 9.65/2.26 % (3000238)Peak memory usage: 93 MB
% 9.65/2.26 % (3000238)Instructions burned: 286 (million)
% 18.66/3.52 % (3000239)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3273675536:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.66/3.52 % (3000241)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3334857936:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.66/3.52 % (3000241)Refutation not found, incomplete strategy
% 18.66/3.52 % (3000241)------------------------------
% 18.66/3.52 % (3000241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.52 % (3000241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.52 % (3000241)CaDiCaL version: 2.1.3
% 18.66/3.52 % (3000241)Termination reason: Refutation not found, incomplete strategy
% 18.66/3.52 % (3000241)Time elapsed: 0.008 s
% 18.66/3.52 % (3000241)Peak memory usage: 89 MB
% 18.66/3.52 % (3000241)Instructions burned: 10 (million)
% 18.66/3.52 % (3000227)------------------------------
% 18.66/3.52 % (3000227)------------------------------
% 18.66/3.52 % (3000242)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=3519631392:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 18.66/3.52 % (3000239)Instruction limit reached!
% 18.66/3.52 % (3000239)------------------------------
% 18.66/3.52 % (3000239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.52 % (3000239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.52 % (3000239)CaDiCaL version: 2.1.3
% 18.66/3.52 % (3000239)Termination reason: Instruction limit
% 18.66/3.52 % (3000239)Termination phase: Saturation
% 18.66/3.52 % (3000239)Time elapsed: 0.084 s
% 18.66/3.52 % (3000239)Peak memory usage: 90 MB
% 18.66/3.52 % (3000239)Instructions burned: 157 (million)
% 18.66/3.52 % (3000242)Instruction limit reached!
% 18.66/3.52 % (3000242)------------------------------
% 18.66/3.52 % (3000242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.52 % (3000242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.52 % (3000242)CaDiCaL version: 2.1.3
% 18.66/3.52 % (3000242)Termination reason: Instruction limit
% 18.66/3.52 % (3000242)Termination phase: Saturation
% 18.66/3.52 % (3000242)Time elapsed: 0.082 s
% 18.66/3.52 % (3000242)Peak memory usage: 92 MB
% 18.66/3.52 % (3000242)Instructions burned: 249 (million)
% 18.66/3.52 % (3000245)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=614225497:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.66/3.52 % (3000245)Refutation not found, incomplete strategy
% 18.66/3.52 % (3000245)------------------------------
% 18.66/3.52 % (3000245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.52 % (3000245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.52 % (3000245)CaDiCaL version: 2.1.3
% 18.66/3.52 % (3000245)Termination reason: Refutation not found, incomplete strategy
% 18.66/3.52 % (3000245)Time elapsed: 0.005 s
% 18.66/3.52 % (3000245)Peak memory usage: 88 MB
% 18.66/3.52 % (3000245)Instructions burned: 7 (million)
% 18.66/3.52 % (3000247)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2785645076:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.66/3.52 % (3000241)------------------------------
% 18.66/3.52 % (3000241)------------------------------
% 18.66/3.52 % (3000248)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1184295609:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.66/3.52 % (3000248)Instruction limit reached!
% 18.66/3.52 % (3000248)------------------------------
% 18.66/3.52 % (3000248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.52 % (3000248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.52 % (3000248)CaDiCaL version: 2.1.3
% 18.66/3.52 % (3000248)Termination reason: Instruction limit
% 18.66/3.52 % (3000248)Termination phase: Saturation
% 18.66/3.52 % (3000248)Time elapsed: 0.042 s
% 18.66/3.52 % (3000248)Peak memory usage: 91 MB
% 18.66/3.52 % (3000248)Instructions burned: 115 (million)
% 18.66/3.52 % (3000252)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2298308850:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.66/3.52 % (3000253)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2834229247:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 18.66/3.52 % (3000253)Instruction limit reached!
% 35.96/6.59 % (3000253)------------------------------
% 35.96/6.59 % (3000253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/6.59 % (3000253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/6.59 % (3000253)CaDiCaL version: 2.1.3
% 35.96/6.59 % (3000253)Termination reason: Instruction limit
% 35.96/6.59 % (3000253)Termination phase: Saturation
% 35.96/6.59 % (3000253)Time elapsed: 0.037 s
% 35.96/6.59 % (3000253)Peak memory usage: 90 MB
% 35.96/6.59 % (3000253)Instructions burned: 116 (million)
% 35.96/6.59 % (3000245)------------------------------
% 35.96/6.59 % (3000245)------------------------------
% 35.96/6.59 % (3000252)Instruction limit reached!
% 35.96/6.59 % (3000252)------------------------------
% 35.96/6.59 % (3000252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/6.59 % (3000252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/6.59 % (3000252)CaDiCaL version: 2.1.3
% 35.96/6.59 % (3000252)Termination reason: Instruction limit
% 35.96/6.59 % (3000252)Termination phase: Saturation
% 35.96/6.59 % (3000252)Time elapsed: 0.069 s
% 35.96/6.59 % (3000252)Peak memory usage: 89 MB
% 35.96/6.59 % (3000252)Instructions burned: 127 (million)
% 35.96/6.59 % (3000256)lrs+10_1_sil=8000:sp=occurrence:random_seed=285333754:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 35.96/6.59 % (3000257)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3326893409:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 35.96/6.59 % (3000257)Refutation not found, incomplete strategy
% 35.96/6.59 % (3000257)------------------------------
% 35.96/6.59 % (3000257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/6.59 % (3000257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/6.59 % (3000257)CaDiCaL version: 2.1.3
% 35.96/6.59 % (3000257)Termination reason: Refutation not found, incomplete strategy
% 35.96/6.59 % (3000257)Time elapsed: 0.008 s
% 35.96/6.59 % (3000257)Peak memory usage: 89 MB
% 35.96/6.59 % (3000257)Instructions burned: 11 (million)
% 35.96/6.59 % (3000258)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=649796327:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 35.96/6.59 % (3000256)Instruction limit reached!
% 35.96/6.59 % (3000256)------------------------------
% 35.96/6.59 % (3000256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/6.59 % (3000256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/6.59 % (3000256)CaDiCaL version: 2.1.3
% 35.96/6.59 % (3000256)Termination reason: Instruction limit
% 35.96/6.59 % (3000256)Termination phase: Saturation
% 35.96/6.59 % (3000256)Time elapsed: 0.285 s
% 35.96/6.59 % (3000256)Peak memory usage: 101 MB
% 35.96/6.59 % (3000256)Instructions burned: 908 (million)
% 35.96/6.59 % (3000257)------------------------------
% 35.96/6.59 % (3000257)------------------------------
% 35.96/6.59 % (3000262)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=608077285:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 35.96/6.59 % (3000262)Instruction limit reached!
% 35.96/6.59 % (3000262)------------------------------
% 35.96/6.59 % (3000262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/6.59 % (3000262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/6.59 % (3000262)CaDiCaL version: 2.1.3
% 35.96/6.59 % (3000262)Termination reason: Instruction limit
% 35.96/6.59 % (3000262)Termination phase: Saturation
% 35.96/6.59 % (3000262)Time elapsed: 0.044 s
% 35.96/6.59 % (3000262)Peak memory usage: 91 MB
% 35.96/6.59 % (3000262)Instructions burned: 137 (million)
% 35.96/6.59 % (3000263)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=212082839:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 35.96/6.59 % (3000263)Refutation not found, incomplete strategy
% 35.96/6.59 % (3000263)------------------------------
% 35.96/6.59 % (3000263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.96/6.59 % (3000263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.96/6.59 % (3000263)CaDiCaL version: 2.1.3
% 35.96/6.59 % (3000263)Termination reason: Refutation not found, incomplete strategy
% 35.96/6.59 % (3000263)Time elapsed: 0.008 s
% 35.96/6.59 % (3000263)Peak memory usage: 88 MB
% 35.96/6.59 % (3000263)Instructions burned: 12 (million)
% 35.96/6.59 % (3000265)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2628831286:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 67.15/10.31 % (3000263)------------------------------
% 67.15/10.31 % (3000263)------------------------------
% 67.15/10.31 % (3000268)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=2856459660:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 67.15/10.31 % (3000268)Instruction limit reached!
% 67.15/10.31 % (3000268)------------------------------
% 67.15/10.31 % (3000268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.15/10.31 % (3000268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.15/10.31 % (3000268)CaDiCaL version: 2.1.3
% 67.15/10.31 % (3000268)Termination reason: Instruction limit
% 67.15/10.31 % (3000268)Termination phase: Saturation
% 67.15/10.31 % (3000268)Time elapsed: 0.081 s
% 67.15/10.31 % (3000268)Peak memory usage: 91 MB
% 67.15/10.31 % (3000268)Instructions burned: 125 (million)
% 67.15/10.31 % (3000270)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=326912458:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 67.15/10.31 % (3000270)Instruction limit reached!
% 67.15/10.31 % (3000270)------------------------------
% 67.15/10.31 % (3000270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.15/10.31 % (3000270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.15/10.31 % (3000270)CaDiCaL version: 2.1.3
% 67.15/10.31 % (3000270)Termination reason: Instruction limit
% 67.15/10.31 % (3000270)Termination phase: Saturation
% 67.15/10.31 % (3000270)Time elapsed: 0.073 s
% 67.15/10.31 % (3000270)Peak memory usage: 91 MB
% 67.15/10.31 % (3000270)Instructions burned: 134 (million)
% 67.15/10.31 % (3000272)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4011240442:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 67.15/10.31 % (3000272)Refutation not found, incomplete strategy
% 67.15/10.31 % (3000272)------------------------------
% 67.15/10.31 % (3000272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.15/10.31 % (3000272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.15/10.31 % (3000272)CaDiCaL version: 2.1.3
% 67.15/10.31 % (3000272)Termination reason: Refutation not found, incomplete strategy
% 67.15/10.31 % (3000272)Time elapsed: 0.004 s
% 67.15/10.31 % (3000272)Peak memory usage: 89 MB
% 67.15/10.31 % (3000272)Instructions burned: 4 (million)
% 67.15/10.31 % (3000247)Instruction limit reached!
% 67.15/10.31 % (3000247)------------------------------
% 67.15/10.31 % (3000247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.15/10.31 % (3000247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.15/10.31 % (3000247)CaDiCaL version: 2.1.3
% 67.15/10.31 % (3000247)Termination reason: Instruction limit
% 67.15/10.31 % (3000247)Termination phase: Saturation
% 67.15/10.31 % (3000247)Time elapsed: 1.554 s
% 67.15/10.31 % (3000247)Peak memory usage: 142 MB
% 67.15/10.31 % (3000247)Instructions burned: 2351 (million)
% 67.15/10.31 % (3000274)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3288074146:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 67.15/10.31 % (3000272)------------------------------
% 67.15/10.31 % (3000272)------------------------------
% 67.15/10.31 % (3000276)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=492933513:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 67.15/10.31 % (3000274)Instruction limit reached!
% 67.15/10.31 % (3000274)------------------------------
% 67.15/10.31 % (3000274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.15/10.31 % (3000274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.15/10.31 % (3000274)CaDiCaL version: 2.1.3
% 67.15/10.31 % (3000274)Termination reason: Instruction limit
% 67.15/10.31 % (3000274)Termination phase: Saturation
% 67.15/10.31 % (3000274)Time elapsed: 0.249 s
% 67.15/10.31 % (3000274)Peak memory usage: 95 MB
% 67.15/10.31 % (3000274)Instructions burned: 432 (million)
% 67.15/10.31 % (3000278)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=1920350015:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 91.78/13.81 % (3000278)Instruction limit reached!
% 91.78/13.81 % (3000278)------------------------------
% 91.78/13.81 % (3000278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/13.81 % (3000278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/13.81 % (3000278)CaDiCaL version: 2.1.3
% 91.78/13.81 % (3000278)Termination reason: Instruction limit
% 91.78/13.81 % (3000278)Termination phase: Saturation
% 91.78/13.81 % (3000278)Time elapsed: 0.099 s
% 91.78/13.81 % (3000278)Peak memory usage: 92 MB
% 91.78/13.81 % (3000278)Instructions burned: 150 (million)
% 91.78/13.81 % (3000280)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4067271730:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 91.78/13.81 % (3000258)Instruction limit reached!
% 91.78/13.81 % (3000258)------------------------------
% 91.78/13.81 % (3000258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/13.81 % (3000258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/13.81 % (3000258)CaDiCaL version: 2.1.3
% 91.78/13.82 % (3000258)Termination reason: Instruction limit
% 91.78/13.82 % (3000258)Termination phase: Saturation
% 91.78/13.82 % (3000258)Time elapsed: 2.889 s
% 91.78/13.82 % (3000258)Peak memory usage: 154 MB
% 91.78/13.82 % (3000258)Instructions burned: 5202 (million)
% 91.78/13.82 % (3000282)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3082340972:i=667:av=off:fsr=off_2961 on theBenchmark for (2961ds/667Mi)
% 91.78/13.82 % (3000282)Instruction limit reached!
% 91.78/13.82 % (3000282)------------------------------
% 91.78/13.82 % (3000282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/13.82 % (3000282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/13.82 % (3000282)CaDiCaL version: 2.1.3
% 91.78/13.82 % (3000282)Termination reason: Instruction limit
% 91.78/13.82 % (3000282)Termination phase: Saturation
% 91.78/13.82 % (3000282)Time elapsed: 0.338 s
% 91.78/13.82 % (3000282)Peak memory usage: 104 MB
% 91.78/13.82 % (3000282)Instructions burned: 667 (million)
% 91.78/13.82 % (3000284)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=456540554:s2a=on:i=185:s2at=1.8:fdi=4_2956 on theBenchmark for (2956ds/185Mi)
% 91.78/13.82 % (3000284)Instruction limit reached!
% 91.78/13.82 % (3000284)------------------------------
% 91.78/13.82 % (3000284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/13.82 % (3000284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/13.82 % (3000284)CaDiCaL version: 2.1.3
% 91.78/13.82 % (3000284)Termination reason: Instruction limit
% 91.78/13.82 % (3000284)Termination phase: Saturation
% 91.78/13.82 % (3000284)Time elapsed: 0.123 s
% 91.78/13.82 % (3000284)Peak memory usage: 92 MB
% 91.78/13.82 % (3000284)Instructions burned: 185 (million)
% 91.78/13.82 % (3000286)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2105081162:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2954 on theBenchmark for (2954ds/193Mi)
% 91.78/13.82 % (3000286)Instruction limit reached!
% 91.78/13.82 % (3000286)------------------------------
% 91.78/13.82 % (3000286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/13.82 % (3000286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/13.82 % (3000286)CaDiCaL version: 2.1.3
% 91.78/13.82 % (3000286)Termination reason: Instruction limit
% 91.78/13.82 % (3000286)Termination phase: Saturation
% 91.78/13.82 % (3000286)Time elapsed: 0.105 s
% 91.78/13.82 % (3000286)Peak memory usage: 92 MB
% 91.78/13.82 % (3000286)Instructions burned: 193 (million)
% 91.78/13.82 % (3000288)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=609899108:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2952 on theBenchmark for (2952ds/4850Mi)
% 91.78/13.82 % (3000265)Instruction limit reached!
% 91.78/13.82 % (3000265)------------------------------
% 91.78/13.82 % (3000265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/13.82 % (3000265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/13.82 % (3000265)CaDiCaL version: 2.1.3
% 91.78/13.82 % (3000265)Termination reason: Instruction limit
% 91.78/13.82 % (3000265)Termination phase: Saturation
% 91.78/13.82 % (3000265)Time elapsed: 4.232 s
% 91.78/13.82 % (3000265)Peak memory usage: 241 MB
% 91.78/13.82 % (3000265)Instructions burned: 13197 (million)
% 91.78/13.82 % (3000290)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2665403554:i=12111:sd=1:ss=included_2943 on theBenchmark for (2943ds/12111Mi)
% 120.19/17.89 % (3000276)Instruction limit reached!
% 120.19/17.89 % (3000276)------------------------------
% 120.19/17.89 % (3000276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.19/17.89 % (3000276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.19/17.89 % (3000276)CaDiCaL version: 2.1.3
% 120.19/17.89 % (3000276)Termination reason: Instruction limit
% 120.19/17.89 % (3000276)Termination phase: Saturation
% 120.19/17.89 % (3000276)Time elapsed: 3.728 s
% 120.19/17.89 % (3000276)Peak memory usage: 170 MB
% 120.19/17.89 % (3000276)Instructions burned: 6061 (million)
% 120.19/17.89 % (3000292)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3713378127:i=319:kws=precedence:fsr=off_2937 on theBenchmark for (2937ds/319Mi)
% 120.19/17.89 % (3000292)Instruction limit reached!
% 120.19/17.89 % (3000292)------------------------------
% 120.19/17.89 % (3000292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.19/17.89 % (3000292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.19/17.89 % (3000292)CaDiCaL version: 2.1.3
% 120.19/17.89 % (3000292)Termination reason: Instruction limit
% 120.19/17.89 % (3000292)Termination phase: Saturation
% 120.19/17.89 % (3000292)Time elapsed: 0.170 s
% 120.19/17.89 % (3000292)Peak memory usage: 93 MB
% 120.19/17.89 % (3000292)Instructions burned: 319 (million)
% 120.19/17.89 % (3000294)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2769540187:i=2064:ep=RST_2934 on theBenchmark for (2934ds/2064Mi)
% 120.19/17.89 % (3000294)Instruction limit reached!
% 120.19/17.89 % (3000294)------------------------------
% 120.19/17.89 % (3000294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.19/17.89 % (3000294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.19/17.89 % (3000294)CaDiCaL version: 2.1.3
% 120.19/17.89 % (3000294)Termination reason: Instruction limit
% 120.19/17.89 % (3000294)Termination phase: Saturation
% 120.19/17.89 % (3000294)Time elapsed: 1.195 s
% 120.19/17.89 % (3000294)Peak memory usage: 127 MB
% 120.19/17.89 % (3000294)Instructions burned: 2064 (million)
% 120.19/17.89 % (3000288)Instruction limit reached!
% 120.19/17.89 % (3000288)------------------------------
% 120.19/17.89 % (3000288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.19/17.89 % (3000288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.19/17.89 % (3000288)CaDiCaL version: 2.1.3
% 120.19/17.89 % (3000288)Termination reason: Instruction limit
% 120.19/17.89 % (3000288)Termination phase: Saturation
% 120.19/17.89 % (3000288)Time elapsed: 2.938 s
% 120.19/17.89 % (3000288)Peak memory usage: 149 MB
% 120.19/17.89 % (3000288)Instructions burned: 4850 (million)
% 120.19/17.89 % (3000296)dis-1011_128_sil=32000:random_seed=2251227136:i=3706:ep=RST:av=off_2921 on theBenchmark for (2921ds/3706Mi)
% 120.19/17.89 % (3000297)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3298113803:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2921 on theBenchmark for (2921ds/757Mi)
% 120.19/17.89 % (3000297)Refutation not found, incomplete strategy
% 120.19/17.89 % (3000297)------------------------------
% 120.19/17.89 % (3000297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.19/17.89 % (3000297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.19/17.89 % (3000297)CaDiCaL version: 2.1.3
% 120.19/17.89 % (3000297)Termination reason: Refutation not found, incomplete strategy
% 120.19/17.89 % (3000297)Time elapsed: 0.006 s
% 120.19/17.89 % (3000297)Peak memory usage: 89 MB
% 120.19/17.89 % (3000297)Instructions burned: 8 (million)
% 120.19/17.89 % (3000297)------------------------------
% 120.19/17.89 % (3000297)------------------------------
% 120.19/17.89 % (3000300)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2310611519:i=13913:ss=axioms:sgt=8_2917 on theBenchmark for (2917ds/13913Mi)
% 120.19/17.89 % (3000290)Instruction limit reached!
% 120.19/17.89 % (3000290)------------------------------
% 120.19/17.89 % (3000290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.19/17.89 % (3000290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.19/17.89 % (3000290)CaDiCaL version: 2.1.3
% 120.19/17.89 % (3000290)Termination reason: Instruction limit
% 120.19/17.89 % (3000290)Termination phase: Saturation
% 120.19/17.89 % (3000290)Time elapsed: 3.715 s
% 120.19/17.89 % (3000290)Peak memory usage: 198 MB
% 138.12/20.32 % (3000290)Instructions burned: 12113 (million)
% 138.12/20.32 % (3000302)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3332024643:i=9925:aac=none_2905 on theBenchmark for (2905ds/9925Mi)
% 138.12/20.32 % (3000296)Instruction limit reached!
% 138.12/20.32 % (3000296)------------------------------
% 138.12/20.32 % (3000296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.12/20.32 % (3000296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.12/20.32 % (3000296)CaDiCaL version: 2.1.3
% 138.12/20.32 % (3000296)Termination reason: Instruction limit
% 138.12/20.32 % (3000296)Termination phase: Saturation
% 138.12/20.32 % (3000296)Time elapsed: 1.874 s
% 138.12/20.32 % (3000296)Peak memory usage: 103 MB
% 138.12/20.32 % (3000296)Instructions burned: 3707 (million)
% 138.12/20.32 % (3000304)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2433263699:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2901 on theBenchmark for (2901ds/2479Mi)
% 138.12/20.32 % (3000304)Refutation not found, incomplete strategy
% 138.12/20.32 % (3000304)------------------------------
% 138.12/20.32 % (3000304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.12/20.32 % (3000304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.12/20.32 % (3000304)CaDiCaL version: 2.1.3
% 138.12/20.32 % (3000304)Termination reason: Refutation not found, incomplete strategy
% 138.12/20.32 % (3000304)Time elapsed: 0.004 s
% 138.12/20.32 % (3000304)Peak memory usage: 88 MB
% 138.12/20.32 % (3000304)Instructions burned: 4 (million)
% 138.12/20.32 % (3000304)------------------------------
% 138.12/20.32 % (3000304)------------------------------
% 138.12/20.32 % (3000306)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2629804104:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2897 on theBenchmark for (2897ds/440Mi)
% 138.12/20.32 % (3000306)Instruction limit reached!
% 138.12/20.32 % (3000306)------------------------------
% 138.12/20.32 % (3000306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.12/20.32 % (3000306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.12/20.32 % (3000306)CaDiCaL version: 2.1.3
% 138.12/20.32 % (3000306)Termination reason: Instruction limit
% 138.12/20.32 % (3000306)Termination phase: Saturation
% 138.12/20.32 % (3000306)Time elapsed: 0.262 s
% 138.12/20.32 % (3000306)Peak memory usage: 93 MB
% 138.12/20.32 % (3000306)Instructions burned: 441 (million)
% 138.12/20.32 % (3000308)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3974978709:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2893 on theBenchmark for (2893ds/11145Mi)
% 138.12/20.32 % (3000280)Instruction limit reached!
% 138.12/20.32 % (3000280)------------------------------
% 138.12/20.32 % (3000280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.12/20.32 % (3000280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.12/20.32 % (3000280)CaDiCaL version: 2.1.3
% 138.12/20.32 % (3000280)Termination reason: Instruction limit
% 138.12/20.32 % (3000280)Termination phase: Saturation
% 138.12/20.32 % (3000280)Time elapsed: 8.177 s
% 138.12/20.32 % (3000280)Peak memory usage: 194 MB
% 138.12/20.32 % (3000280)Instructions burned: 14156 (million)
% 138.12/20.32 % (3000310)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=1491466431:cts=off:i=3034:av=off:er=known:fsd=on_2889 on theBenchmark for (2889ds/3034Mi)
% 138.12/20.32 % (3000302)Instruction limit reached!
% 138.12/20.32 % (3000302)------------------------------
% 138.12/20.32 % (3000302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.12/20.32 % (3000302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.12/20.32 % (3000302)CaDiCaL version: 2.1.3
% 138.12/20.32 % (3000302)Termination reason: Instruction limit
% 138.12/20.32 % (3000302)Termination phase: Saturation
% 138.12/20.32 % (3000302)Time elapsed: 3.166 s
% 138.12/20.32 % (3000302)Peak memory usage: 205 MB
% 138.12/20.32 % (3000302)Instructions burned: 9927 (million)
% 138.12/20.32 % (3000312)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4270132939:st=2:s2a=on:i=524:s2at=2:ss=axioms_2872 on theBenchmark for (2872ds/524Mi)
% 138.12/20.32 % (3000312)Instruction limit reached!
% 138.12/20.32 % (3000312)------------------------------
% 138.12/20.32 % (3000312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.12/20.32 % (3000312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.55/23.68 % (3000312)CaDiCaL version: 2.1.3
% 161.55/23.68 % (3000312)Termination reason: Instruction limit
% 161.55/23.68 % (3000312)Termination phase: Saturation
% 161.55/23.68 % (3000312)Time elapsed: 0.141 s
% 161.55/23.68 % (3000312)Peak memory usage: 93 MB
% 161.55/23.68 % (3000312)Instructions burned: 529 (million)
% 161.55/23.68 % (3000314)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=138490092:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2870 on theBenchmark for (2870ds/1016Mi)
% 161.55/23.68 % (3000310)Instruction limit reached!
% 161.55/23.68 % (3000310)------------------------------
% 161.55/23.68 % (3000310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 161.55/23.68 % (3000310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.55/23.68 % (3000310)CaDiCaL version: 2.1.3
% 161.55/23.68 % (3000310)Termination reason: Instruction limit
% 161.55/23.68 % (3000310)Termination phase: Saturation
% 161.55/23.68 % (3000310)Time elapsed: 1.835 s
% 161.55/23.68 % (3000310)Peak memory usage: 138 MB
% 161.55/23.68 % (3000310)Instructions burned: 3036 (million)
% 161.55/23.68 % (3000316)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4197295639:i=14123:bd=preordered:ins=4_2869 on theBenchmark for (2869ds/14123Mi)
% 161.55/23.68 % (3000314)Instruction limit reached!
% 161.55/23.68 % (3000314)------------------------------
% 161.55/23.68 % (3000314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 161.55/23.68 % (3000314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.55/23.68 % (3000314)CaDiCaL version: 2.1.3
% 161.55/23.68 % (3000314)Termination reason: Instruction limit
% 161.55/23.68 % (3000314)Termination phase: Saturation
% 161.55/23.68 % (3000314)Time elapsed: 0.274 s
% 161.55/23.68 % (3000314)Peak memory usage: 92 MB
% 161.55/23.68 % (3000314)Instructions burned: 1018 (million)
% 161.55/23.68 % (3000318)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=255033402:i=5781:kws=precedence:bd=all:rawr=on_2866 on theBenchmark for (2866ds/5781Mi)
% 161.55/23.68 % (3000318)Instruction limit reached!
% 161.55/23.68 % (3000318)------------------------------
% 161.55/23.68 % (3000318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 161.55/23.68 % (3000318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.55/23.68 % (3000318)CaDiCaL version: 2.1.3
% 161.55/23.68 % (3000318)Termination reason: Instruction limit
% 161.55/23.68 % (3000318)Termination phase: Saturation
% 161.55/23.68 % (3000318)Time elapsed: 1.396 s
% 161.55/23.68 % (3000318)Peak memory usage: 121 MB
% 161.55/23.68 % (3000318)Instructions burned: 5781 (million)
% 161.55/23.68 % (3000320)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=2328498893:i=2448:gtgl=5:bd=preordered:gtg=all_2852 on theBenchmark for (2852ds/2448Mi)
% 161.55/23.68 % (3000320)Instruction limit reached!
% 161.55/23.68 % (3000320)------------------------------
% 161.55/23.68 % (3000320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 161.55/23.68 % (3000320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.55/23.68 % (3000320)CaDiCaL version: 2.1.3
% 161.55/23.68 % (3000320)Termination reason: Instruction limit
% 161.55/23.68 % (3000320)Termination phase: Saturation
% 161.55/23.68 % (3000320)Time elapsed: 0.811 s
% 161.55/23.68 % (3000320)Peak memory usage: 146 MB
% 161.55/23.68 % (3000320)Instructions burned: 2450 (million)
% 161.55/23.68 % (3000322)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3214210470:i=3223:kws=precedence:fgj=on:av=off_2842 on theBenchmark for (2842ds/3223Mi)
% 161.55/23.68 % (3000300)Instruction limit reached!
% 161.55/23.68 % (3000300)------------------------------
% 161.55/23.68 % (3000300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 161.55/23.68 % (3000300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.55/23.68 % (3000300)CaDiCaL version: 2.1.3
% 161.55/23.68 % (3000300)Termination reason: Instruction limit
% 161.55/23.68 % (3000300)Termination phase: Saturation
% 161.55/23.68 % (3000300)Time elapsed: 8.349 s
% 161.55/23.68 % (3000300)Peak memory usage: 234 MB
% 161.55/23.68 % (3000300)Instructions burned: 13914 (million)
% 161.55/23.68 % (3000324)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=706735749:st=5.6:i=2033:sd=3:ss=axioms_2832 on theBenchmark for (2832ds/2033Mi)
% 161.55/23.68 % (3000322)Instruction limit reached!
% 89.38/26.19 % (3000322)------------------------------
% 89.38/26.19 % (3000322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000322)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000322)Termination reason: Instruction limit
% 89.38/26.19 % (3000322)Termination phase: Saturation
% 89.38/26.19 % (3000322)Time elapsed: 1.208 s
% 89.38/26.19 % (3000322)Peak memory usage: 148 MB
% 89.38/26.19 % (3000322)Instructions burned: 3225 (million)
% 89.38/26.19 % (3000326)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=285376813:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2829 on theBenchmark for (2829ds/2055Mi)
% 89.38/26.19 % (3000324)Refutation not found, incomplete strategy
% 89.38/26.19 % (3000324)------------------------------
% 89.38/26.19 % (3000324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000324)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000324)Termination reason: Refutation not found, incomplete strategy
% 89.38/26.19 % (3000324)Time elapsed: 0.604 s
% 89.38/26.19 % (3000324)Peak memory usage: 130 MB
% 89.38/26.19 % (3000324)Instructions burned: 919 (million)
% 89.38/26.19 % (3000324)------------------------------
% 89.38/26.19 % (3000324)------------------------------
% 89.38/26.19 % (3000326)Instruction limit reached!
% 89.38/26.19 % (3000326)------------------------------
% 89.38/26.19 % (3000326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000326)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000326)Termination reason: Instruction limit
% 89.38/26.19 % (3000326)Termination phase: Saturation
% 89.38/26.19 % (3000326)Time elapsed: 0.692 s
% 89.38/26.19 % (3000326)Peak memory usage: 136 MB
% 89.38/26.19 % (3000326)Instructions burned: 2056 (million)
% 89.38/26.19 % (3000328)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=752209037:i=21611:sd=3:ss=axioms_2822 on theBenchmark for (2822ds/21611Mi)
% 89.38/26.19 % (3000329)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2421466843:i=4835:sd=13:ss=axioms:sgt=23_2821 on theBenchmark for (2821ds/4835Mi)
% 89.38/26.19 % (3000308)Instruction limit reached!
% 89.38/26.19 % (3000308)------------------------------
% 89.38/26.19 % (3000308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000308)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000308)Termination reason: Instruction limit
% 89.38/26.19 % (3000308)Termination phase: Saturation
% 89.38/26.19 % (3000308)Time elapsed: 7.302 s
% 89.38/26.19 % (3000308)Peak memory usage: 182 MB
% 89.38/26.19 % (3000308)Instructions burned: 11146 (million)
% 89.38/26.19 % (3000332)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=72993190:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2819 on theBenchmark for (2819ds/797Mi)
% 89.38/26.19 % (3000332)Instruction limit reached!
% 89.38/26.19 % (3000332)------------------------------
% 89.38/26.19 % (3000332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000332)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000332)Termination reason: Instruction limit
% 89.38/26.19 % (3000332)Termination phase: Saturation
% 89.38/26.19 % (3000332)Time elapsed: 0.380 s
% 89.38/26.19 % (3000332)Peak memory usage: 94 MB
% 89.38/26.19 % (3000332)Instructions burned: 798 (million)
% 89.38/26.19 % (3000334)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=445562129:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2814 on theBenchmark for (2814ds/2326Mi)
% 89.38/26.19 % (3000329)Instruction limit reached!
% 89.38/26.19 % (3000329)------------------------------
% 89.38/26.19 % (3000329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000329)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000329)Termination reason: Instruction limit
% 89.38/26.19 % (3000329)Termination phase: Saturation
% 89.38/26.19 % (3000329)Time elapsed: 1.548 s
% 89.38/26.19 % (3000329)Peak memory usage: 143 MB
% 89.38/26.19 % (3000329)Instructions burned: 4835 (million)
% 89.38/26.19 % (3000336)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3965524490:i=6038:nm=6_2805 on theBenchmark for (2805ds/6038Mi)
% 89.38/26.19 % (3000334)Instruction limit reached!
% 89.38/26.19 % (3000334)------------------------------
% 89.38/26.19 % (3000334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000334)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000334)Termination reason: Instruction limit
% 89.38/26.19 % (3000334)Termination phase: Saturation
% 89.38/26.19 % (3000334)Time elapsed: 1.657 s
% 89.38/26.19 % (3000334)Peak memory usage: 120 MB
% 89.38/26.19 % (3000334)Instructions burned: 2326 (million)
% 89.38/26.19 % (3000338)lrs+10_1_sil=32000:sp=occurrence:random_seed=2792109946:st=2:i=33334:sd=3:ss=included:sgt=32_2796 on theBenchmark for (2796ds/33334Mi)
% 89.38/26.19 % (3000316)Instruction limit reached!
% 89.38/26.19 % (3000316)------------------------------
% 89.38/26.19 % (3000316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000316)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000316)Termination reason: Instruction limit
% 89.38/26.19 % (3000316)Termination phase: Saturation
% 89.38/26.19 % (3000316)Time elapsed: 7.633 s
% 89.38/26.19 % (3000316)Peak memory usage: 202 MB
% 89.38/26.19 % (3000316)Instructions burned: 14123 (million)
% 89.38/26.19 % (3000340)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=402553275:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2791 on theBenchmark for (2791ds/1008Mi)
% 89.38/26.19 % (3000336)Instruction limit reached!
% 89.38/26.19 % (3000336)------------------------------
% 89.38/26.19 % (3000336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000336)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000336)Termination reason: Instruction limit
% 89.38/26.19 % (3000336)Termination phase: Saturation
% 89.38/26.19 % (3000336)Time elapsed: 1.864 s
% 89.38/26.19 % (3000336)Peak memory usage: 147 MB
% 89.38/26.19 % (3000336)Instructions burned: 6041 (million)
% 89.38/26.19 % (3000340)Instruction limit reached!
% 89.38/26.19 % (3000340)------------------------------
% 89.38/26.19 % (3000340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000340)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000340)Termination reason: Instruction limit
% 89.38/26.19 % (3000340)Termination phase: Saturation
% 89.38/26.19 % (3000340)Time elapsed: 0.500 s
% 89.38/26.19 % (3000340)Peak memory usage: 95 MB
% 89.38/26.19 % (3000340)Instructions burned: 1009 (million)
% 89.38/26.19 % (3000342)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=3980453540:i=8327:s2at=5:bd=preordered_2785 on theBenchmark for (2785ds/8327Mi)
% 89.38/26.19 % (3000343)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=3567360140:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2785 on theBenchmark for (2785ds/1083Mi)
% 89.38/26.19 % (3000343)Instruction limit reached!
% 89.38/26.19 % (3000343)------------------------------
% 89.38/26.19 % (3000343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000343)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000343)Termination reason: Instruction limit
% 89.38/26.19 % (3000343)Termination phase: Saturation
% 89.38/26.19 % (3000343)Time elapsed: 0.509 s
% 89.38/26.19 % (3000343)Peak memory usage: 102 MB
% 89.38/26.19 % (3000343)Instructions burned: 1083 (million)
% 89.38/26.19 % (3000346)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=3708268826:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2779 on theBenchmark for (2779ds/1084Mi)
% 89.38/26.19 % (3000346)Instruction limit reached!
% 89.38/26.19 % (3000346)------------------------------
% 89.38/26.19 % (3000346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000346)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000346)Termination reason: Instruction limit
% 89.38/26.19 % (3000346)Termination phase: Saturation
% 89.38/26.19 % (3000346)Time elapsed: 0.598 s
% 89.38/26.19 % (3000346)Peak memory usage: 100 MB
% 89.38/26.19 % (3000346)Instructions burned: 1085 (million)
% 89.38/26.19 % (3000348)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=3168532874:i=6995:s2at=5:gtg=all_2771 on theBenchmark for (2771ds/6995Mi)
% 89.38/26.19 % (3000342)Instruction limit reached!
% 89.38/26.19 % (3000342)------------------------------
% 89.38/26.19 % (3000342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.38/26.19 % (3000342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.38/26.19 % (3000342)CaDiCaL version: 2.1.3
% 89.38/26.19 % (3000342)Termination reason: Instruction limit
% 89.38/26.19 % (3000342)Termination phase: Saturation
% 89.38/26.19 % (3000342)Time elapsed: 2.882 s
% 89.38/26.19 % (3000342)Peak memory usage: 192 MB
% 89.38/26.19 % (3000342)Instructions burned: 8330 (million)
% 89.38/26.19 % (3000350)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=2007105264:st=2:i=6225:sd=15:ss=axioms_2755 on theBenchmark for (2755ds/6225Mi)
% 89.38/26.19 % (3000348)First to succeed.
% 89.38/26.19 % (3000348)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3000219"
% 89.38/26.19 % (3000348)Refutation found. Thanks to Tanya!
% 89.38/26.19 % SZS status Theorem for theBenchmark
% 89.38/26.19 % SZS output start Proof for theBenchmark
% See solution above
% 179.81/26.39 % (3000348)------------------------------
% 179.81/26.39 % (3000348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 179.81/26.39 % (3000348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 179.81/26.39 % (3000348)CaDiCaL version: 2.1.3
% 179.81/26.39 % (3000348)Termination reason: Refutation
% 179.81/26.39 % (3000348)Time elapsed: 2.058 s
% 179.81/26.39 % (3000348)Peak memory usage: 147 MB
% 179.81/26.39 % (3000348)Instructions burned: 3197 (million)
% 179.81/26.39 % (3000348)------------------------------
% 179.81/26.39 % (3000348)------------------------------
% 179.81/26.39 % (3000219)Success in time 25.328 s
% 179.81/26.39 % Vampire exiting
%------------------------------------------------------------------------------