%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT372+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:47:27 AM UTC 2026
% Result : Theorem 18.91s 3.53s
% Output : Refutation 19.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 41
% Syntax : Number of formulae : 327 ( 41 unt; 17 def)
% Number of atoms : 1515 ( 142 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 2081 ( 893 ~;1010 |; 117 &)
% ( 23 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 16 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-4 aty)
% Number of variables : 333 ( 0 sgn 327 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f27,axiom,
! [X0] :
( l1_orders_2(X0)
=> k3_yellow_0(X0) = k1_yellow_0(X0,k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(f28,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r4_waybel_0(X0,X1,X2,X3)
<=> ( r1_yellow_0(X0,X3)
=> ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d31_waybel_0) ).
fof(f29,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v18_waybel_0(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r4_waybel_0(X0,X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d33_waybel_0) ).
fof(f30,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_borsuk_1) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X2,X0) )
=> ( v1_funct_1(k1_borsuk_1(X0,X1,X2))
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_borsuk_1) ).
fof(f37,axiom,
! [X0,X1] :
( l1_orders_2(X0)
=> m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( v1_funct_1(k3_borsuk_1(X0,X1,X2))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_borsuk_1) ).
fof(f43,axiom,
! [X0] :
( l1_orders_2(X0)
=> m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(f47,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f63,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f84,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X2,X0) )
=> k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_borsuk_1) ).
fof(f85,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f86,axiom,
! [X0,X1,X2,X3] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& ~ v3_struct_0(X1)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
=> k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_waybel_0) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f88,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& ~ v3_struct_0(X1)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,u1_struct_0(X1))
& m1_relset_1(X2,X0,u1_struct_0(X1))
& m1_subset_1(X3,X0) )
=> k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_yellow_2) ).
fof(f89,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f91,axiom,
! [X0,X1,X2] :
( r2_hidden(X1,X0)
=> k1_funct_1(k2_funcop_1(X0,X2),X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_funcop_1) ).
fof(f93,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f94,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( r1_yellow_0(X0,k1_struct_0(X0,X1))
& r2_yellow_0(X0,k1_struct_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_yellow_0) ).
fof(f95,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_yellow_0) ).
fof(f96,axiom,
! [X0,X1] :
( r1_tarski(X0,k1_tarski(X1))
<=> ( X0 = k1_xboole_0
| X0 = k1_tarski(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f98,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ( r1_yellow_0(X0,k1_xboole_0)
& r2_yellow_0(X0,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(f102,axiom,
! [X0,X1,X2] : r1_tarski(k9_relat_1(k2_funcop_1(X0,X1),X2),k1_tarski(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_borsuk_1) ).
fof(f106,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_yellow_0(X0,k1_struct_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f94]) ).
fof(f107,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> r1_yellow_0(X0,k1_xboole_0) ),
inference(pure_predicate_removal,[],[f98]) ).
fof(f121,plain,
? [X0] :
( ? [X1] :
( ~ v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f122,plain,
? [X0] :
( ? [X1] :
( ~ v18_waybel_0(k3_borsuk_1(X0,X1,k3_yellow_0(X1)),X0,X1)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f121]) ).
fof(f151,plain,
! [X0] :
( k3_yellow_0(X0) = k1_yellow_0(X0,k1_xboole_0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r4_waybel_0(X0,X1,X2,X3)
<=> ( ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
| ~ r1_yellow_0(X0,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r4_waybel_0(X0,X1,X2,X3)
<=> ( ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
| ~ r1_yellow_0(X0,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v18_waybel_0(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v18_waybel_0(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_borsuk_1(X0,X1,X2))
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_borsuk_1(X0,X1,X2))
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(flattening,[],[f158]) ).
fof(f164,plain,
! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_borsuk_1(X0,X1,X2))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_borsuk_1(X0,X1,X2))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f173,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f181,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f182,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f181]) ).
fof(f201,plain,
! [X0,X1,X2] :
( k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f202,plain,
! [X0,X1,X2] :
( k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(flattening,[],[f201]) ).
fof(f203,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f85]) ).
fof(f204,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f207]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f210,plain,
! [X0,X1,X2,X3] :
( k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
! [X0,X1,X2] :
( k1_funct_1(k2_funcop_1(X0,X2),X1) = X2
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f213,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f214,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f213]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( r1_yellow_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( r1_yellow_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f215]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ( k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ( k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f217]) ).
fof(f219,plain,
! [X0] :
( r1_yellow_0(X0,k1_xboole_0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f220,plain,
! [X0] :
( r1_yellow_0(X0,k1_xboole_0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f219]) ).
fof(f227,plain,
( ~ v18_waybel_0(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK0,sK1)
& ~ v3_struct_0(sK1)
& v2_orders_2(sK1)
& v4_orders_2(sK1)
& v1_yellow_0(sK1)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f122]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r4_waybel_0(X0,X1,X2,X3)
| ( ( ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
& r1_yellow_0(X0,X3) ) )
& ( ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
| ~ r1_yellow_0(X0,X3)
| ~ r4_waybel_0(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f153]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r4_waybel_0(X0,X1,X2,X3)
| ( ( ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
& r1_yellow_0(X0,X3) ) )
& ( ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
| ~ r1_yellow_0(X0,X3)
| ~ r4_waybel_0(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f228]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v18_waybel_0(X2,X0,X1)
| ? [X3] :
( ~ r4_waybel_0(X0,X1,X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v18_waybel_0(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f155]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v18_waybel_0(X2,X0,X1)
| ? [X3] :
( ~ r4_waybel_0(X0,X1,X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v18_waybel_0(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f230]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v18_waybel_0(X2,X0,X1)
| ( ~ r4_waybel_0(X0,X1,X2,sK2(X0,X1,X2))
& m1_subset_1(sK2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( r4_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v18_waybel_0(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f231]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f251,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_xboole_0 != X0
& k1_tarski(X1) != X0 ) )
& ( X0 = k1_xboole_0
| X0 = k1_tarski(X1)
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f252,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_xboole_0 != X0
& k1_tarski(X1) != X0 ) )
& ( X0 = k1_xboole_0
| X0 = k1_tarski(X1)
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(flattening,[],[f251]) ).
fof(f254,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f227]) ).
fof(f255,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f227]) ).
fof(f256,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f227]) ).
fof(f257,plain,
v1_yellow_0(sK1),
inference(cnf_transformation,[],[f227]) ).
fof(f258,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f227]) ).
fof(f259,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f227]) ).
fof(f260,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f227]) ).
fof(f261,plain,
~ v18_waybel_0(k3_borsuk_1(sK0,sK1,k3_yellow_0(sK1)),sK0,sK1),
inference(cnf_transformation,[],[f227]) ).
fof(f315,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k3_yellow_0(X0) = k1_yellow_0(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
| ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f321,plain,
! [X2,X0,X1] :
( m1_subset_1(sK2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v18_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,sK2(X0,X1,X2))
| v18_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f324,plain,
! [X2,X0,X1] :
( m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f325,plain,
! [X2,X0,X1] :
( v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f326,plain,
! [X2,X0,X1] :
( v1_funct_1(k1_borsuk_1(X0,X1,X2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f329,plain,
! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f331,plain,
! [X2,X0,X1] :
( m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f332,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f333,plain,
! [X2,X0,X1] :
( v1_funct_1(k3_borsuk_1(X0,X1,X2))
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f334,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f337,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f357,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0)
| k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f416,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f206]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f419,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f250]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_funct_1(k2_funcop_1(X0,X2),X1) = X2 ),
inference(cnf_transformation,[],[f211]) ).
fof(f425,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f426,plain,
! [X0,X1] :
( r1_yellow_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f428,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f429,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f252]) ).
fof(f434,plain,
! [X0] :
( r1_yellow_0(X0,k1_xboole_0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f438,plain,
! [X2,X0,X1] : r1_tarski(k9_relat_1(k2_funcop_1(X0,X1),X2),k1_tarski(X1)),
inference(cnf_transformation,[],[f102]) ).
fof(f443,definition,
sF20 = k3_yellow_0(sK1),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f444,plain,
k3_yellow_0(sK1) = sF20,
inference(reorient_equations,[],[f443]) ).
fof(f445,definition,
sF21 = k3_borsuk_1(sK0,sK1,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f446,plain,
k3_borsuk_1(sK0,sK1,sF20) = sF21,
inference(reorient_equations,[],[f445]) ).
fof(f447,plain,
~ v18_waybel_0(sF21,sK0,sK1),
inference(definition_folding,[],[f261,f446,f444]) ).
fof(f448,plain,
( m1_subset_1(sF20,u1_struct_0(sK1))
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f334,f444]) ).
fof(f449,plain,
m1_subset_1(sF20,u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[],[f448,f256]) ).
fof(f450,plain,
( v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1)) ),
inference(superposition,[],[f332,f446]) ).
fof(f451,plain,
( v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f450,f260]) ).
fof(f452,plain,
( v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f451,f449]) ).
fof(f454,definition,
( spl22_1
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f455,plain,
( l1_struct_0(sK1)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f456,plain,
( ~ l1_struct_0(sK1)
| spl22_1 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl22_2
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f459,plain,
( l1_struct_0(sK0)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f462,definition,
( spl22_3
<=> v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f464,plain,
( v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f465,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_3 ),
inference(avatar_split_clause,[],[f452,f462,f458,f454]) ).
fof(f466,plain,
( m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1)) ),
inference(superposition,[],[f331,f446]) ).
fof(f467,plain,
l1_struct_0(sK1),
inference(resolution,[],[f337,f256]) ).
fof(f468,plain,
l1_struct_0(sK0),
inference(resolution,[],[f337,f254]) ).
fof(f469,plain,
spl22_2,
inference(avatar_split_clause,[],[f468,f458]) ).
fof(f470,plain,
( $false
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f467,f456]) ).
fof(f471,plain,
spl22_1,
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f472,plain,
( m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f466,f459]) ).
fof(f473,plain,
( m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f472,f260]) ).
fof(f474,plain,
( m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ spl22_1
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f473,f455]) ).
fof(f475,plain,
( m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_1
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f474,f449]) ).
fof(f476,plain,
k3_yellow_0(sK1) = k1_yellow_0(sK1,k1_xboole_0),
inference(resolution,[],[f315,f256]) ).
fof(f478,plain,
sF20 = k1_yellow_0(sK1,k1_xboole_0),
inference(forward_demodulation,[],[f476,f444]) ).
fof(f480,plain,
! [X0] :
( k3_borsuk_1(X0,sK1,sF20) = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(X0),sF20)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(X0) ),
inference(resolution,[],[f323,f449]) ).
fof(f481,plain,
! [X0] :
( k3_borsuk_1(X0,sK1,sF20) = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(X0),sF20)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f480,f260]) ).
fof(f483,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| k3_borsuk_1(X0,sK1,sF20) = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(X0),sF20) )
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f481,f455]) ).
fof(f488,plain,
( sF20 = k1_yellow_0(sK1,k1_struct_0(sK1,sF20))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(resolution,[],[f428,f449]) ).
fof(f492,plain,
( sF20 = k1_yellow_0(sK1,k1_struct_0(sK1,sF20))
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f488,f260]) ).
fof(f493,plain,
( sF20 = k1_yellow_0(sK1,k1_struct_0(sK1,sF20))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f492,f259]) ).
fof(f494,plain,
( sF20 = k1_yellow_0(sK1,k1_struct_0(sK1,sF20))
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f493,f258]) ).
fof(f495,plain,
sF20 = k1_yellow_0(sK1,k1_struct_0(sK1,sF20)),
inference(forward_subsumption_resolution,[],[f494,f256]) ).
fof(f498,plain,
( ! [X0] :
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sF21)
| k1_waybel_0(sK0,sK1,sF21,X0) = k1_funct_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_3 ),
inference(resolution,[],[f417,f464]) ).
fof(f500,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sF21)
| k1_waybel_0(sK0,sK1,sF21,X0) = k1_funct_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f498,f255]) ).
fof(f502,plain,
( ! [X0] :
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sF21)
| k1_waybel_0(sK0,sK1,sF21,X0) = k1_funct_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f500,f459]) ).
fof(f503,plain,
( ! [X0] :
( ~ l1_struct_0(sK1)
| ~ v1_funct_1(sF21)
| k1_waybel_0(sK0,sK1,sF21,X0) = k1_funct_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f502,f260]) ).
fof(f504,plain,
( ! [X0] :
( ~ v1_funct_1(sF21)
| k1_waybel_0(sK0,sK1,sF21,X0) = k1_funct_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f503,f455]) ).
fof(f506,definition,
( spl22_4
<=> m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f507,plain,
( m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f508,plain,
( ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| spl22_4 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f510,definition,
( spl22_5
<=> ! [X0] :
( k1_waybel_0(sK0,sK1,sF21,X0) = k1_funct_1(sF21,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f511,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k1_waybel_0(sK0,sK1,sF21,X0) = k1_funct_1(sF21,X0) )
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f513,definition,
( spl22_6
<=> v1_funct_1(sF21) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f514,plain,
( v1_funct_1(sF21)
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f516,plain,
( ~ spl22_4
| spl22_5
| ~ spl22_6
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f504,f462,f458,f454,f513,f510,f506]) ).
fof(f517,plain,
( v1_funct_1(sF21)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1)) ),
inference(superposition,[],[f333,f446]) ).
fof(f518,plain,
( v1_funct_1(sF21)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f517,f459]) ).
fof(f519,plain,
( v1_funct_1(sF21)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f518,f260]) ).
fof(f520,plain,
( v1_funct_1(sF21)
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| ~ spl22_1
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f519,f455]) ).
fof(f521,plain,
( v1_funct_1(sF21)
| ~ spl22_1
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f520,f449]) ).
fof(f522,plain,
( spl22_6
| ~ spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f521,f458,f454,f513]) ).
fof(f524,plain,
( m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl22_1
| ~ spl22_2 ),
inference(resolution,[],[f420,f475]) ).
fof(f525,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| spl22_4 ),
inference(forward_subsumption_resolution,[],[f524,f508]) ).
fof(f526,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_4 ),
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f528,plain,
( ! [X0] :
( k1_waybel_0(sK0,sK1,sF21,k1_yellow_0(sK0,X0)) = k1_funct_1(sF21,k1_yellow_0(sK0,X0))
| ~ l1_orders_2(sK0) )
| ~ spl22_5 ),
inference(resolution,[],[f511,f329]) ).
fof(f529,plain,
( ! [X0] : k1_waybel_0(sK0,sK1,sF21,k1_yellow_0(sK0,X0)) = k1_funct_1(sF21,k1_yellow_0(sK0,X0))
| ~ spl22_5 ),
inference(forward_subsumption_resolution,[],[f528,f254]) ).
fof(f543,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sF21)
| k1_funct_1(sF21,X0) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_3 ),
inference(resolution,[],[f419,f464]) ).
fof(f545,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sF21)
| k1_funct_1(sF21,X0) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f543,f260]) ).
fof(f547,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_1(sF21)
| k1_funct_1(sF21,X0) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_1
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f545,f455]) ).
fof(f549,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| k1_funct_1(sF21,X0) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_1
| ~ spl22_3
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f547,f514]) ).
fof(f550,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| k1_funct_1(sF21,X0) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl22_1
| ~ spl22_3
| ~ spl22_4
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f549,f507]) ).
fof(f552,definition,
( spl22_7
<=> ! [X0] :
( k1_funct_1(sF21,X0) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f553,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k1_funct_1(sF21,X0) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,X0) )
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f555,definition,
( spl22_8
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f556,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl22_8 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f558,plain,
( spl22_7
| spl22_8
| ~ spl22_1
| ~ spl22_3
| ~ spl22_4
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f550,f513,f506,f462,f454,f555,f552]) ).
fof(f559,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl22_8 ),
inference(resolution,[],[f557,f357]) ).
fof(f560,plain,
( ~ l1_struct_0(sK0)
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f559,f255]) ).
fof(f561,plain,
( $false
| ~ spl22_2
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f560,f459]) ).
fof(f562,plain,
( ~ spl22_2
| ~ spl22_8 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f564,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,k1_yellow_0(sK0,X0))
| ~ l1_orders_2(sK0) )
| ~ spl22_7 ),
inference(resolution,[],[f553,f329]) ).
fof(f565,plain,
( ! [X0] : k1_funct_1(sF21,k1_yellow_0(sK0,X0)) = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,k1_yellow_0(sK0,X0))
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f564,f254]) ).
fof(f568,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(sF21)
| k4_pre_topc(sK0,sK1,sF21,X0) = k9_relat_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl22_3 ),
inference(resolution,[],[f418,f464]) ).
fof(f570,plain,
( ! [X0] :
( ~ l1_struct_0(sK1)
| ~ v1_funct_1(sF21)
| k4_pre_topc(sK0,sK1,sF21,X0) = k9_relat_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f568,f459]) ).
fof(f572,plain,
( ! [X0] :
( ~ v1_funct_1(sF21)
| k4_pre_topc(sK0,sK1,sF21,X0) = k9_relat_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_subsumption_resolution,[],[f570,f455]) ).
fof(f574,plain,
( ! [X0] :
( k4_pre_topc(sK0,sK1,sF21,X0) = k9_relat_1(sF21,X0)
| ~ m1_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f572,f514]) ).
fof(f575,plain,
( ! [X0] : k4_pre_topc(sK0,sK1,sF21,X0) = k9_relat_1(sF21,X0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f574,f507]) ).
fof(f577,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| k1_struct_0(sK1,sF20) = k1_tarski(sF20) ),
inference(resolution,[],[f416,f449]) ).
fof(f580,plain,
( ~ l1_struct_0(sK1)
| k1_struct_0(sK1,sF20) = k1_tarski(sF20) ),
inference(forward_subsumption_resolution,[],[f577,f260]) ).
fof(f582,plain,
( k1_struct_0(sK1,sF20) = k1_tarski(sF20)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f580,f455]) ).
fof(f584,plain,
( sF20 = k1_yellow_0(sK1,k1_tarski(sF20))
| ~ spl22_1 ),
inference(superposition,[],[f495,f582]) ).
fof(f585,plain,
( r1_yellow_0(sK1,k1_tarski(sF20))
| ~ m1_subset_1(sF20,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl22_1 ),
inference(superposition,[],[f426,f582]) ).
fof(f586,plain,
( r1_yellow_0(sK1,k1_tarski(sF20))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f585,f449]) ).
fof(f587,plain,
( r1_yellow_0(sK1,k1_tarski(sF20))
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f586,f260]) ).
fof(f588,plain,
( r1_yellow_0(sK1,k1_tarski(sF20))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f587,f259]) ).
fof(f589,plain,
( r1_yellow_0(sK1,k1_tarski(sF20))
| ~ l1_orders_2(sK1)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f588,f258]) ).
fof(f590,plain,
( r1_yellow_0(sK1,k1_tarski(sF20))
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f589,f256]) ).
fof(f593,plain,
( k3_borsuk_1(sK0,sK1,sF20) = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(sK0),sF20)
| ~ spl22_1
| ~ spl22_2 ),
inference(resolution,[],[f483,f459]) ).
fof(f594,plain,
( sF21 = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(sK0),sF20)
| ~ spl22_1
| ~ spl22_2 ),
inference(forward_demodulation,[],[f593,f446]) ).
fof(f614,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK1))
| k1_borsuk_1(u1_struct_0(sK1),X0,sF20) = k2_funcop_1(X0,sF20) ),
inference(resolution,[],[f415,f449]) ).
fof(f616,definition,
( spl22_9
<=> ! [X0] : k1_borsuk_1(u1_struct_0(sK1),X0,sF20) = k2_funcop_1(X0,sF20) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f617,plain,
( ! [X0] : k1_borsuk_1(u1_struct_0(sK1),X0,sF20) = k2_funcop_1(X0,sF20)
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f619,definition,
( spl22_10
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f621,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f622,plain,
( spl22_9
| spl22_10 ),
inference(avatar_split_clause,[],[f614,f619,f616]) ).
fof(f624,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl22_10 ),
inference(resolution,[],[f621,f357]) ).
fof(f625,plain,
( ~ l1_struct_0(sK1)
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f624,f260]) ).
fof(f626,plain,
( $false
| ~ spl22_1
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f625,f455]) ).
fof(f627,plain,
( ~ spl22_1
| ~ spl22_10 ),
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f763,plain,
! [X2,X0,X1] :
( k1_tarski(X0) = k9_relat_1(k2_funcop_1(X1,X0),X2)
| k1_xboole_0 = k9_relat_1(k2_funcop_1(X1,X0),X2) ),
inference(resolution,[],[f438,f429]) ).
fof(f881,plain,
( sF21 = k2_funcop_1(u1_struct_0(sK0),sF20)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9 ),
inference(superposition,[],[f594,f617]) ).
fof(f941,plain,
( ! [X0] :
( k9_relat_1(sF21,X0) = k1_tarski(sF20)
| k1_xboole_0 = k9_relat_1(sF21,X0) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9 ),
inference(superposition,[],[f763,f881]) ).
fof(f1049,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sF21)
| ~ v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl22_5 ),
inference(superposition,[],[f319,f529]) ).
fof(f1050,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f1049,f514]) ).
fof(f1056,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl22_3
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f1050,f464]) ).
fof(f1062,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f1056,f475]) ).
fof(f1075,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f1062,f260]) ).
fof(f1085,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f1075,f256]) ).
fof(f1087,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(sK0) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f1085,f255]) ).
fof(f1088,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f1087,f254]) ).
fof(f1089,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF21,X0))
| ~ r1_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_demodulation,[],[f1088,f575]) ).
fof(f1090,plain,
( ! [X0] :
( k1_funct_1(sF21,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF21,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF21,X0))
| r4_waybel_0(sK0,sK1,sF21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(forward_demodulation,[],[f1089,f575]) ).
fof(f3443,plain,
! [X2,X0,X1] :
( m1_relset_1(k1_borsuk_1(X0,X2,X1),X2,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f324,f420]) ).
fof(f4965,definition,
( spl22_128
<=> m1_subset_1(sK2(sK0,sK1,sF21),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl22_128])],[avatar_definition]) ).
fof(f4966,plain,
( m1_subset_1(sK2(sK0,sK1,sF21),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl22_128 ),
inference(avatar_component_clause,[],[f4965]) ).
fof(f4967,plain,
( ~ m1_subset_1(sK2(sK0,sK1,sF21),k1_zfmisc_1(u1_struct_0(sK0)))
| spl22_128 ),
inference(avatar_component_clause,[],[f4965]) ).
fof(f4980,plain,
( v18_waybel_0(sF21,sK0,sK1)
| ~ v1_funct_1(sF21)
| ~ v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl22_128 ),
inference(resolution,[],[f4967,f321]) ).
fof(f4982,plain,
( ~ v1_funct_1(sF21)
| ~ v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl22_128 ),
inference(forward_subsumption_resolution,[],[f4980,f447]) ).
fof(f4983,plain,
( ~ v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_6
| spl22_128 ),
inference(forward_subsumption_resolution,[],[f4982,f514]) ).
fof(f4984,plain,
( ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_3
| ~ spl22_6
| spl22_128 ),
inference(forward_subsumption_resolution,[],[f4983,f464]) ).
fof(f4985,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| spl22_128 ),
inference(forward_subsumption_resolution,[],[f4984,f475]) ).
fof(f4986,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| spl22_128 ),
inference(forward_subsumption_resolution,[],[f4985,f260]) ).
fof(f4987,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| spl22_128 ),
inference(forward_subsumption_resolution,[],[f4986,f256]) ).
fof(f4988,plain,
( ~ l1_orders_2(sK0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| spl22_128 ),
inference(forward_subsumption_resolution,[],[f4987,f255]) ).
fof(f4989,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| spl22_128 ),
inference(forward_subsumption_resolution,[],[f4988,f254]) ).
fof(f4990,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| spl22_128 ),
inference(avatar_contradiction_clause,[],[f4989]) ).
fof(f5926,definition,
( spl22_154
<=> m1_subset_1(k1_yellow_0(sK0,sK2(sK0,sK1,sF21)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_154])],[avatar_definition]) ).
fof(f5927,plain,
( m1_subset_1(k1_yellow_0(sK0,sK2(sK0,sK1,sF21)),u1_struct_0(sK0))
| ~ spl22_154 ),
inference(avatar_component_clause,[],[f5926]) ).
fof(f5928,plain,
( ~ m1_subset_1(k1_yellow_0(sK0,sK2(sK0,sK1,sF21)),u1_struct_0(sK0))
| spl22_154 ),
inference(avatar_component_clause,[],[f5926]) ).
fof(f5964,plain,
( ~ l1_orders_2(sK0)
| spl22_154 ),
inference(resolution,[],[f5928,f329]) ).
fof(f5965,plain,
( $false
| spl22_154 ),
inference(forward_subsumption_resolution,[],[f5964,f254]) ).
fof(f5966,plain,
spl22_154,
inference(avatar_contradiction_clause,[],[f5965]) ).
fof(f6008,plain,
( r2_hidden(k1_yellow_0(sK0,sK2(sK0,sK1,sF21)),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_154 ),
inference(resolution,[],[f5927,f425]) ).
fof(f6009,plain,
( r2_hidden(k1_yellow_0(sK0,sK2(sK0,sK1,sF21)),u1_struct_0(sK0))
| spl22_8
| ~ spl22_154 ),
inference(forward_subsumption_resolution,[],[f6008,f556]) ).
fof(f6033,plain,
( ! [X0] : k1_funct_1(k2_funcop_1(u1_struct_0(sK0),X0),k1_yellow_0(sK0,sK2(sK0,sK1,sF21))) = X0
| spl22_8
| ~ spl22_154 ),
inference(resolution,[],[f6009,f423]) ).
fof(f7096,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_funct_1(k1_borsuk_1(u1_struct_0(X0),X2,X1))
| k7_yellow_2(X2,X0,k1_borsuk_1(u1_struct_0(X0),X2,X1),X3) = k1_funct_1(k1_borsuk_1(u1_struct_0(X0),X2,X1),X3)
| ~ m1_relset_1(k1_borsuk_1(u1_struct_0(X0),X2,X1),X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,X2) ),
inference(resolution,[],[f325,f419]) ).
fof(f7120,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_funct_1(k1_borsuk_1(u1_struct_0(X0),X2,X1))
| k7_yellow_2(X2,X0,k1_borsuk_1(u1_struct_0(X0),X2,X1),X3) = k1_funct_1(k1_borsuk_1(u1_struct_0(X0),X2,X1),X3)
| ~ m1_subset_1(X3,X2) ),
inference(forward_subsumption_resolution,[],[f7096,f3443]) ).
fof(f7138,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k7_yellow_2(X2,X0,k1_borsuk_1(u1_struct_0(X0),X2,X1),X3) = k1_funct_1(k1_borsuk_1(u1_struct_0(X0),X2,X1),X3)
| ~ m1_subset_1(X3,X2) ),
inference(forward_subsumption_resolution,[],[f7120,f326]) ).
fof(f7151,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k7_yellow_2(X2,X0,k1_borsuk_1(u1_struct_0(X0),X2,X1),X3) = k1_funct_1(k1_borsuk_1(u1_struct_0(X0),X2,X1),X3)
| ~ m1_subset_1(X3,X2) ),
inference(forward_subsumption_resolution,[],[f7138,f357]) ).
fof(f7228,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| k7_yellow_2(X0,sK1,k1_borsuk_1(u1_struct_0(sK1),X0,sF20),X1) = k1_funct_1(k1_borsuk_1(u1_struct_0(sK1),X0,sF20),X1)
| ~ m1_subset_1(X1,X0) ),
inference(resolution,[],[f7151,f449]) ).
fof(f7232,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ l1_struct_0(sK1)
| k7_yellow_2(X0,sK1,k1_borsuk_1(u1_struct_0(sK1),X0,sF20),X1) = k1_funct_1(k1_borsuk_1(u1_struct_0(sK1),X0,sF20),X1)
| ~ m1_subset_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f7228,f260]) ).
fof(f7249,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| k7_yellow_2(X0,sK1,k1_borsuk_1(u1_struct_0(sK1),X0,sF20),X1) = k1_funct_1(k1_borsuk_1(u1_struct_0(sK1),X0,sF20),X1)
| ~ m1_subset_1(X1,X0) )
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f7232,f455]) ).
fof(f7263,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k7_yellow_2(X0,sK1,k2_funcop_1(X0,sF20),X1) = k1_funct_1(k2_funcop_1(X0,sF20),X1) )
| ~ spl22_1
| ~ spl22_9 ),
inference(forward_demodulation,[],[f7249,f617]) ).
fof(f7481,plain,
( v1_xboole_0(u1_struct_0(sK0))
| k7_yellow_2(u1_struct_0(sK0),sK1,k2_funcop_1(u1_struct_0(sK0),sF20),k1_yellow_0(sK0,sK2(sK0,sK1,sF21))) = k1_funct_1(k2_funcop_1(u1_struct_0(sK0),sF20),k1_yellow_0(sK0,sK2(sK0,sK1,sF21)))
| ~ spl22_1
| ~ spl22_9
| ~ spl22_154 ),
inference(resolution,[],[f7263,f5927]) ).
fof(f7507,plain,
( k7_yellow_2(u1_struct_0(sK0),sK1,k2_funcop_1(u1_struct_0(sK0),sF20),k1_yellow_0(sK0,sK2(sK0,sK1,sF21))) = k1_funct_1(k2_funcop_1(u1_struct_0(sK0),sF20),k1_yellow_0(sK0,sK2(sK0,sK1,sF21)))
| ~ spl22_1
| spl22_8
| ~ spl22_9
| ~ spl22_154 ),
inference(forward_subsumption_resolution,[],[f7481,f556]) ).
fof(f7518,plain,
( sF20 = k7_yellow_2(u1_struct_0(sK0),sK1,k2_funcop_1(u1_struct_0(sK0),sF20),k1_yellow_0(sK0,sK2(sK0,sK1,sF21)))
| ~ spl22_1
| spl22_8
| ~ spl22_9
| ~ spl22_154 ),
inference(forward_demodulation,[],[f7507,f6033]) ).
fof(f7522,plain,
( sF20 = k7_yellow_2(u1_struct_0(sK0),sK1,sF21,k1_yellow_0(sK0,sK2(sK0,sK1,sF21)))
| ~ spl22_1
| ~ spl22_2
| spl22_8
| ~ spl22_9
| ~ spl22_154 ),
inference(forward_demodulation,[],[f7518,f881]) ).
fof(f7523,plain,
( sF20 = k1_funct_1(sF21,k1_yellow_0(sK0,sK2(sK0,sK1,sF21)))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_7
| spl22_8
| ~ spl22_9
| ~ spl22_154 ),
inference(forward_demodulation,[],[f7522,f565]) ).
fof(f7525,plain,
( sF20 != k1_yellow_0(sK1,k9_relat_1(sF21,sK2(sK0,sK1,sF21)))
| ~ r1_yellow_0(sK1,k9_relat_1(sF21,sK2(sK0,sK1,sF21)))
| r4_waybel_0(sK0,sK1,sF21,sK2(sK0,sK1,sF21))
| ~ m1_subset_1(sK2(sK0,sK1,sF21),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| spl22_8
| ~ spl22_9
| ~ spl22_154 ),
inference(superposition,[],[f1090,f7523]) ).
fof(f7526,plain,
( sF20 != k1_yellow_0(sK1,k9_relat_1(sF21,sK2(sK0,sK1,sF21)))
| ~ r1_yellow_0(sK1,k9_relat_1(sF21,sK2(sK0,sK1,sF21)))
| r4_waybel_0(sK0,sK1,sF21,sK2(sK0,sK1,sF21))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| spl22_8
| ~ spl22_9
| ~ spl22_128
| ~ spl22_154 ),
inference(forward_subsumption_resolution,[],[f7525,f4966]) ).
fof(f7528,definition,
( spl22_185
<=> r4_waybel_0(sK0,sK1,sF21,sK2(sK0,sK1,sF21)) ),
introduced(definition,[new_symbols(definition,[spl22_185])],[avatar_definition]) ).
fof(f7530,plain,
( r4_waybel_0(sK0,sK1,sF21,sK2(sK0,sK1,sF21))
| ~ spl22_185 ),
inference(avatar_component_clause,[],[f7528]) ).
fof(f7532,definition,
( spl22_186
<=> r1_yellow_0(sK1,k9_relat_1(sF21,sK2(sK0,sK1,sF21))) ),
introduced(definition,[new_symbols(definition,[spl22_186])],[avatar_definition]) ).
fof(f7534,plain,
( ~ r1_yellow_0(sK1,k9_relat_1(sF21,sK2(sK0,sK1,sF21)))
| spl22_186 ),
inference(avatar_component_clause,[],[f7532]) ).
fof(f7536,definition,
( spl22_187
<=> sF20 = k1_yellow_0(sK1,k9_relat_1(sF21,sK2(sK0,sK1,sF21))) ),
introduced(definition,[new_symbols(definition,[spl22_187])],[avatar_definition]) ).
fof(f7538,plain,
( sF20 != k1_yellow_0(sK1,k9_relat_1(sF21,sK2(sK0,sK1,sF21)))
| spl22_187 ),
inference(avatar_component_clause,[],[f7536]) ).
fof(f7539,plain,
( spl22_185
| ~ spl22_186
| ~ spl22_187
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| spl22_8
| ~ spl22_9
| ~ spl22_128
| ~ spl22_154 ),
inference(avatar_split_clause,[],[f7526,f5926,f4965,f616,f555,f552,f513,f510,f506,f462,f458,f454,f7536,f7532,f7528]) ).
fof(f7540,plain,
( ~ r1_yellow_0(sK1,k1_tarski(sF20))
| k1_xboole_0 = k9_relat_1(sF21,sK2(sK0,sK1,sF21))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(superposition,[],[f7534,f941]) ).
fof(f7541,plain,
( k1_xboole_0 = k9_relat_1(sF21,sK2(sK0,sK1,sF21))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(forward_subsumption_resolution,[],[f7540,f590]) ).
fof(f7543,plain,
( ~ r1_yellow_0(sK1,k1_xboole_0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(superposition,[],[f7534,f7541]) ).
fof(f7557,plain,
( sF20 != k1_yellow_0(sK1,k1_tarski(sF20))
| k1_xboole_0 = k9_relat_1(sF21,sK2(sK0,sK1,sF21))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_187 ),
inference(superposition,[],[f7538,f941]) ).
fof(f7558,plain,
( k1_xboole_0 = k9_relat_1(sF21,sK2(sK0,sK1,sF21))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_187 ),
inference(forward_subsumption_resolution,[],[f7557,f584]) ).
fof(f7560,plain,
( sF20 != k1_yellow_0(sK1,k1_xboole_0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_187 ),
inference(superposition,[],[f7538,f7558]) ).
fof(f7572,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_187 ),
inference(forward_subsumption_resolution,[],[f7560,f478]) ).
fof(f7573,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_187 ),
inference(avatar_contradiction_clause,[],[f7572]) ).
fof(f7576,plain,
( v18_waybel_0(sF21,sK0,sK1)
| ~ v1_funct_1(sF21)
| ~ v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_185 ),
inference(resolution,[],[f7530,f322]) ).
fof(f7577,plain,
( ~ v1_funct_1(sF21)
| ~ v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_185 ),
inference(forward_subsumption_resolution,[],[f7576,f447]) ).
fof(f7579,plain,
( ~ v1_funct_2(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_6
| ~ spl22_185 ),
inference(forward_subsumption_resolution,[],[f7577,f514]) ).
fof(f7581,plain,
( ~ m2_relset_1(sF21,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_3
| ~ spl22_6
| ~ spl22_185 ),
inference(forward_subsumption_resolution,[],[f7579,f464]) ).
fof(f7583,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| ~ spl22_185 ),
inference(forward_subsumption_resolution,[],[f7581,f475]) ).
fof(f7584,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| ~ spl22_185 ),
inference(forward_subsumption_resolution,[],[f7583,f260]) ).
fof(f7585,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| ~ spl22_185 ),
inference(forward_subsumption_resolution,[],[f7584,f256]) ).
fof(f7586,plain,
( ~ l1_orders_2(sK0)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| ~ spl22_185 ),
inference(forward_subsumption_resolution,[],[f7585,f255]) ).
fof(f7587,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| ~ spl22_185 ),
inference(forward_subsumption_resolution,[],[f7586,f254]) ).
fof(f7588,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| ~ spl22_185 ),
inference(avatar_contradiction_clause,[],[f7587]) ).
fof(f9102,plain,
( v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_yellow_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(resolution,[],[f7543,f434]) ).
fof(f9103,plain,
( ~ v4_orders_2(sK1)
| ~ v1_yellow_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(forward_subsumption_resolution,[],[f9102,f260]) ).
fof(f9104,plain,
( ~ v1_yellow_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(forward_subsumption_resolution,[],[f9103,f258]) ).
fof(f9105,plain,
( ~ l1_orders_2(sK1)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(forward_subsumption_resolution,[],[f9104,f257]) ).
fof(f9106,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(forward_subsumption_resolution,[],[f9105,f256]) ).
fof(f9107,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(avatar_contradiction_clause,[],[f9106]) ).
cnf(s1,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_3 ),
inference(sat_conversion,[],[f465]) ).
cnf(s2,plain,
spl22_2,
inference(sat_conversion,[],[f469]) ).
cnf(s3,plain,
spl22_1,
inference(sat_conversion,[],[f471]) ).
cnf(s4,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| spl22_5
| ~ spl22_6 ),
inference(sat_conversion,[],[f516]) ).
cnf(s5,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_6 ),
inference(sat_conversion,[],[f522]) ).
cnf(s6,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_4 ),
inference(sat_conversion,[],[f526]) ).
cnf(s7,plain,
( ~ spl22_1
| ~ spl22_3
| ~ spl22_4
| ~ spl22_6
| spl22_7
| spl22_8 ),
inference(sat_conversion,[],[f558]) ).
cnf(s8,plain,
( ~ spl22_2
| ~ spl22_8 ),
inference(sat_conversion,[],[f562]) ).
cnf(s9,plain,
( spl22_9
| spl22_10 ),
inference(sat_conversion,[],[f622]) ).
cnf(s10,plain,
( ~ spl22_1
| ~ spl22_10 ),
inference(sat_conversion,[],[f627]) ).
cnf(s135,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| spl22_128 ),
inference(sat_conversion,[],[f4990]) ).
cnf(s164,plain,
spl22_154,
inference(sat_conversion,[],[f5966]) ).
cnf(s192,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| spl22_8
| ~ spl22_9
| ~ spl22_128
| ~ spl22_154
| spl22_185
| ~ spl22_186
| ~ spl22_187 ),
inference(sat_conversion,[],[f7539]) ).
cnf(s200,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_187 ),
inference(sat_conversion,[],[f7573]) ).
cnf(s201,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_6
| ~ spl22_185 ),
inference(sat_conversion,[],[f7588]) ).
cnf(s215,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_9
| spl22_186 ),
inference(sat_conversion,[],[f9107]) ).
cnf(s233,plain,
~ spl22_10,
inference(rat,[],[s10,s3]) ).
cnf(s234,plain,
spl22_9,
inference(rat,[],[s9,s233]) ).
cnf(s235,plain,
spl22_186,
inference(rat,[],[s215,s234,s3,s2]) ).
cnf(s236,plain,
spl22_187,
inference(rat,[],[s200,s234,s3,s2]) ).
cnf(s241,plain,
~ spl22_8,
inference(rat,[],[s8,s2]) ).
cnf(s242,plain,
spl22_4,
inference(rat,[],[s6,s3,s2]) ).
cnf(s243,plain,
spl22_6,
inference(rat,[],[s5,s3,s2]) ).
cnf(s247,plain,
spl22_3,
inference(rat,[],[s1,s2,s3]) ).
cnf(s248,plain,
spl22_7,
inference(rat,[],[s7,s241,s242,s243,s3,s247]) ).
cnf(s249,plain,
~ spl22_185,
inference(rat,[],[s201,s243,s2,s3,s247]) ).
cnf(s250,plain,
spl22_128,
inference(rat,[],[s135,s243,s2,s3,s247]) ).
cnf(s251,plain,
spl22_5,
inference(rat,[],[s4,s243,s2,s242,s3,s247]) ).
cnf(s252,plain,
$false,
inference(rat,[],[s192,s236,s235,s249,s164,s247,s234,s241,s248,s243,s242,s2,s3,s250,s251]) ).
fof(f9108,plain,
$false,
inference(avatar_sat_refutation,[],[s252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT372+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:04:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.65/2.55 % (1554697)Detected formulas, will run a generic FOF schedule.
% 11.65/2.55 % (1554707)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3543939752:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.65/2.55 % (1554706)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=418905980:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.65/2.55 % (1554702)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=1139327526:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.65/2.55 % (1554705)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3484580924:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.65/2.55 % (1554703)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=1757318460:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.65/2.55 % (1554704)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=259683866:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.65/2.55 % (1554705)Refutation not found, incomplete strategy
% 11.65/2.55 % (1554705)------------------------------
% 11.65/2.55 % (1554705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.55 % (1554705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.55 % (1554705)CaDiCaL version: 2.1.3
% 11.65/2.55 % (1554705)Termination reason: Refutation not found, incomplete strategy
% 11.65/2.55 % (1554705)Time elapsed: 0.002 s
% 11.65/2.55 % (1554705)Peak memory usage: 88 MB
% 11.65/2.55 % (1554706)Refutation not found, incomplete strategy
% 11.65/2.55 % (1554706)------------------------------
% 11.65/2.55 % (1554706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.55 % (1554706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.55 % (1554706)CaDiCaL version: 2.1.3
% 11.65/2.55 % (1554706)Termination reason: Refutation not found, incomplete strategy
% 11.65/2.55 % (1554706)Time elapsed: 0.005 s
% 11.65/2.55 % (1554706)Peak memory usage: 88 MB
% 11.65/2.55 % (1554706)Instructions burned: 6 (million)
% 11.65/2.55 % (1554707)Instruction limit reached!
% 11.65/2.55 % (1554707)------------------------------
% 11.65/2.55 % (1554707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.55 % (1554707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.55 % (1554707)CaDiCaL version: 2.1.3
% 11.65/2.55 % (1554707)Termination reason: Instruction limit
% 11.65/2.55 % (1554707)Termination phase: Saturation
% 11.65/2.55 % (1554707)Time elapsed: 0.054 s
% 11.65/2.55 % (1554707)Peak memory usage: 90 MB
% 11.65/2.55 % (1554707)Instructions burned: 139 (million)
% 11.65/2.55 % (1554708)dis-21_1_sil=8000:lcm=predicate:random_seed=4138745403: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)
% 11.65/2.55 % (1554708)Instruction limit reached!
% 11.65/2.55 % (1554708)------------------------------
% 11.65/2.55 % (1554708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.55 % (1554708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.55 % (1554708)CaDiCaL version: 2.1.3
% 11.65/2.55 % (1554708)Termination reason: Instruction limit
% 11.65/2.55 % (1554708)Termination phase: Saturation
% 11.65/2.55 % (1554708)Time elapsed: 0.076 s
% 11.65/2.55 % (1554708)Peak memory usage: 90 MB
% 11.65/2.55 % (1554708)Instructions burned: 130 (million)
% 11.65/2.55 % (1554716)lrs+10_1_sil=8000:sp=occurrence:random_seed=2819297940:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.65/2.55 % (1554716)Instruction limit reached!
% 11.65/2.55 % (1554716)------------------------------
% 11.65/2.55 % (1554716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.55 % (1554716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.55 % (1554716)CaDiCaL version: 2.1.3
% 11.65/2.55 % (1554716)Termination reason: Instruction limit
% 11.65/2.55 % (1554716)Termination phase: Saturation
% 11.65/2.55 % (1554716)Time elapsed: 0.097 s
% 11.65/2.55 % (1554716)Peak memory usage: 92 MB
% 11.65/2.55 % (1554716)Instructions burned: 285 (million)
% 11.65/2.55 % (1554706)------------------------------
% 11.65/2.55 % (1554706)------------------------------
% 18.91/3.53 % (1554705)------------------------------
% 18.91/3.53 % (1554705)------------------------------
% 18.91/3.53 % (1554717)lrs+10_1_sil=32000:urr=on:br=off:random_seed=702997520:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.91/3.53 % (1554717)Refutation not found, incomplete strategy
% 18.91/3.53 % (1554717)------------------------------
% 18.91/3.53 % (1554717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554717)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554717)Termination reason: Refutation not found, incomplete strategy
% 18.91/3.53 % (1554717)Time elapsed: 0.005 s
% 18.91/3.53 % (1554717)Peak memory usage: 88 MB
% 18.91/3.53 % (1554717)Instructions burned: 5 (million)
% 18.91/3.53 % (1554719)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2151169096:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.91/3.53 % (1554719)Refutation not found, incomplete strategy
% 18.91/3.53 % (1554719)------------------------------
% 18.91/3.53 % (1554719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554719)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554719)Termination reason: Refutation not found, incomplete strategy
% 18.91/3.53 % (1554719)Time elapsed: 0.004 s
% 18.91/3.53 % (1554719)Peak memory usage: 88 MB
% 18.91/3.53 % (1554719)Instructions burned: 9 (million)
% 18.91/3.53 % (1554722)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=518194265:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.91/3.53 % (1554721)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=3878226973:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.91/3.53 % (1554722)Refutation not found, incomplete strategy
% 18.91/3.53 % (1554722)------------------------------
% 18.91/3.53 % (1554722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554722)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554722)Termination reason: Refutation not found, incomplete strategy
% 18.91/3.53 % (1554722)Time elapsed: 0.005 s
% 18.91/3.53 % (1554722)Peak memory usage: 88 MB
% 18.91/3.53 % (1554722)Instructions burned: 5 (million)
% 18.91/3.53 % (1554717)------------------------------
% 18.91/3.53 % (1554717)------------------------------
% 18.91/3.53 % (1554719)------------------------------
% 18.91/3.53 % (1554719)------------------------------
% 18.91/3.53 % (1554721)Instruction limit reached!
% 18.91/3.53 % (1554721)------------------------------
% 18.91/3.53 % (1554721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554721)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554721)Termination reason: Instruction limit
% 18.91/3.53 % (1554721)Termination phase: Saturation
% 18.91/3.53 % (1554721)Time elapsed: 0.148 s
% 18.91/3.53 % (1554721)Peak memory usage: 90 MB
% 18.91/3.53 % (1554721)Instructions burned: 249 (million)
% 18.91/3.53 % (1554727)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3760199119:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 18.91/3.53 % (1554726)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3939136453:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.91/3.53 % (1554722)------------------------------
% 18.91/3.53 % (1554722)------------------------------
% 18.91/3.53 % (1554727)Instruction limit reached!
% 18.91/3.53 % (1554727)------------------------------
% 18.91/3.53 % (1554727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554727)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554727)Termination reason: Instruction limit
% 18.91/3.53 % (1554727)Termination phase: Saturation
% 18.91/3.53 % (1554727)Time elapsed: 0.041 s
% 18.91/3.53 % (1554727)Peak memory usage: 91 MB
% 18.91/3.53 % (1554727)Instructions burned: 114 (million)
% 18.91/3.53 % (1554728)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3025215373:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 18.91/3.53 % (1554731)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4150925504:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 18.91/3.53 % (1554731)Refutation not found, incomplete strategy
% 18.91/3.53 % (1554731)------------------------------
% 18.91/3.53 % (1554731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554731)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554731)Termination reason: Refutation not found, incomplete strategy
% 18.91/3.53 % (1554731)Time elapsed: 0.001 s
% 18.91/3.53 % (1554731)Peak memory usage: 88 MB
% 18.91/3.53 % (1554731)Instructions burned: 2 (million)
% 18.91/3.53 % (1554728)Instruction limit reached!
% 18.91/3.53 % (1554728)------------------------------
% 18.91/3.53 % (1554728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554728)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554728)Termination reason: Instruction limit
% 18.91/3.53 % (1554728)Termination phase: Saturation
% 18.91/3.53 % (1554728)Time elapsed: 0.066 s
% 18.91/3.53 % (1554728)Peak memory usage: 89 MB
% 18.91/3.53 % (1554728)Instructions burned: 127 (million)
% 18.91/3.53 % (1554732)lrs+10_1_sil=8000:sp=occurrence:random_seed=4067690037:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 18.91/3.53 % (1554731)------------------------------
% 18.91/3.53 % (1554731)------------------------------
% 18.91/3.53 % (1554735)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=357553595:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 18.91/3.53 % (1554735)Refutation not found, incomplete strategy
% 18.91/3.53 % (1554735)------------------------------
% 18.91/3.53 % (1554735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554735)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554735)Termination reason: Refutation not found, incomplete strategy
% 18.91/3.53 % (1554735)Time elapsed: 0.006 s
% 18.91/3.53 % (1554735)Peak memory usage: 88 MB
% 18.91/3.53 % (1554735)Instructions burned: 8 (million)
% 18.91/3.53 % (1554737)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1346282827:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 18.91/3.53 % (1554735)------------------------------
% 18.91/3.53 % (1554735)------------------------------
% 18.91/3.53 % (1554732)Instruction limit reached!
% 18.91/3.53 % (1554732)------------------------------
% 18.91/3.53 % (1554732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554732)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554732)Termination reason: Instruction limit
% 18.91/3.53 % (1554732)Termination phase: Saturation
% 18.91/3.53 % (1554732)Time elapsed: 0.516 s
% 18.91/3.53 % (1554732)Peak memory usage: 99 MB
% 18.91/3.53 % (1554732)Instructions burned: 908 (million)
% 18.91/3.53 % (1554740)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1623580704:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 18.91/3.53 % (1554740)Instruction limit reached!
% 18.91/3.53 % (1554740)------------------------------
% 18.91/3.53 % (1554740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554740)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554740)Termination reason: Instruction limit
% 18.91/3.53 % (1554740)Termination phase: Saturation
% 18.91/3.53 % (1554740)Time elapsed: 0.082 s
% 18.91/3.53 % (1554740)Peak memory usage: 91 MB
% 18.91/3.53 % (1554740)Instructions burned: 137 (million)
% 18.91/3.53 % (1554741)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=927106996:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 18.91/3.53 % (1554741)Refutation not found, incomplete strategy
% 18.91/3.53 % (1554741)------------------------------
% 18.91/3.53 % (1554741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554741)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554741)Termination reason: Refutation not found, incomplete strategy
% 18.91/3.53 % (1554741)Time elapsed: 0.006 s
% 18.91/3.53 % (1554741)Peak memory usage: 88 MB
% 18.91/3.53 % (1554741)Instructions burned: 9 (million)
% 18.91/3.53 % (1554743)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1434360498:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 18.91/3.53 % (1554741)------------------------------
% 18.91/3.53 % (1554741)------------------------------
% 18.91/3.53 % (1554746)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=3652663420:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 18.91/3.53 % (1554746)Instruction limit reached!
% 18.91/3.53 % (1554746)------------------------------
% 18.91/3.53 % (1554746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554746)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554746)Termination reason: Instruction limit
% 18.91/3.53 % (1554746)Termination phase: Saturation
% 18.91/3.53 % (1554746)Time elapsed: 0.083 s
% 18.91/3.53 % (1554746)Peak memory usage: 91 MB
% 18.91/3.53 % (1554746)Instructions burned: 126 (million)
% 18.91/3.53 % (1554748)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1276564060:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 18.91/3.53 % (1554726)First to succeed.
% 18.91/3.53 % (1554726)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1554697"
% 18.91/3.53 % (1554748)Instruction limit reached!
% 18.91/3.53 % (1554748)------------------------------
% 18.91/3.53 % (1554748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554748)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554748)Termination reason: Instruction limit
% 18.91/3.53 % (1554748)Termination phase: Saturation
% 18.91/3.53 % (1554748)Time elapsed: 0.088 s
% 18.91/3.53 % (1554748)Peak memory usage: 90 MB
% 18.91/3.53 % (1554748)Instructions burned: 135 (million)
% 18.91/3.53 % (1554750)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=406582540:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 18.91/3.53 % (1554750)Refutation not found, incomplete strategy
% 18.91/3.53 % (1554750)------------------------------
% 18.91/3.53 % (1554750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.91/3.53 % (1554750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.91/3.53 % (1554750)CaDiCaL version: 2.1.3
% 18.91/3.53 % (1554750)Termination reason: Refutation not found, incomplete strategy
% 18.91/3.53 % (1554750)Time elapsed: 0.002 s
% 18.91/3.53 % (1554750)Peak memory usage: 88 MB
% 18.91/3.53 % (1554750)Instructions burned: 2 (million)
% 18.91/3.53 % (1554726)Refutation found. Thanks to Tanya!
% 18.91/3.53 % SZS status Theorem for theBenchmark
% 18.91/3.53 % SZS output start Proof for theBenchmark
% See solution above
% 19.54/3.75 % (1554726)------------------------------
% 19.54/3.75 % (1554726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.54/3.75 % (1554726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.75 % (1554726)CaDiCaL version: 2.1.3
% 19.54/3.75 % (1554726)Termination reason: Refutation
% 19.54/3.75 % (1554726)Time elapsed: 1.577 s
% 19.54/3.75 % (1554726)Peak memory usage: 142 MB
% 19.54/3.75 % (1554726)Instructions burned: 2378 (million)
% 19.54/3.75 % (1554726)------------------------------
% 19.54/3.75 % (1554726)------------------------------
% 19.54/3.75 % (1554697)Success in time 2.672 s
% 19.54/3.75 % Vampire exiting
%------------------------------------------------------------------------------