%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP036+3 : 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 : n002.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 02:33:59 PM UTC 2026
% Result : Theorem 204.40s 31.49s
% Output : Refutation 214.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 121
% Syntax : Number of formulae : 931 ( 111 unt; 71 def)
% Number of atoms : 6353 ( 443 equ)
% Maximal formula atoms : 29 ( 6 avg)
% Number of connectives : 9749 (4327 ~;4983 |; 269 &)
% ( 96 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 92 ( 90 usr; 66 prp; 0-3 aty)
% Number of functors : 42 ( 42 usr; 10 con; 0-4 aty)
% Number of variables : 1066 ( 1 sgn1029 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f31,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f97,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k3_xboole_0(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f574,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f853,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t144_relat_1) ).
fof(f865,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f1037,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f1055,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( r2_hidden(X0,k1_relat_1(X1))
=> k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f1065,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1,X2] :
( X2 = k10_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f1086,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( r1_tarski(X0,k2_relat_1(X1))
=> k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t147_funct_1) ).
fof(f1089,axiom,
! [X0,X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))) = k3_xboole_0(k9_relat_1(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t150_funct_1) ).
fof(f1333,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1392,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1394,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(f1638,axiom,
! [X0] :
~ ( X0 != k1_xboole_0
& ! [X1] :
~ ( r2_hidden(X1,X0)
& ! [X2] :
( r2_hidden(X2,X1)
=> r1_xboole_0(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_mcart_1) ).
fof(f3384,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(f5563,axiom,
! [X0] :
( ~ ( ~ v1_realset1(X0)
& ! [X1,X2] :
~ ( r2_hidden(X1,X0)
& r2_hidden(X2,X0)
& X1 != X2 ) )
& ~ ( ? [X1,X2] :
( r2_hidden(X1,X0)
& r2_hidden(X2,X0)
& X1 != X2 )
& v1_realset1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_realset1) ).
fof(f6435,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(f6795,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f6796,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r2_hidden(X1,k2_pre_topc(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_pre_topc) ).
fof(f6850,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f6856,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)) )
=> m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(f6857,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(f6859,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)) )
=> k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_pre_topc) ).
fof(f7062,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(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)) )
=> ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_2) ).
fof(f10761,axiom,
! [X0,X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( r1_tarski(X0,k10_relat_1(X2,X1))
=> r1_tarski(k9_relat_1(X2,X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_borsuk_1) ).
fof(f13295,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_tarski(k1_struct_0(X0,X1),k2_tex_4(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_tex_4) ).
fof(f13298,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_tex_4) ).
fof(f13369,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> ( ~ v1_xboole_0(k4_tex_4(X0,X1))
& m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tex_4) ).
fof(f13370,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k4_tex_4(X0,X1) = k2_tex_4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_tex_4) ).
fof(f13459,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f13461,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f13467,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k3_tsp_2(X0,X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_tsp_2) ).
fof(f13468,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_tsp_2) ).
fof(f13489,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l19_tsp_2) ).
fof(f13512,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f13515,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v3_borsuk_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X3 = u1_struct_0(X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) = k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_tsp_2) ).
fof(f13519,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_tsp_2) ).
fof(f13521,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k1_struct_0(X1,X3)) = k4_tex_4(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_tsp_2) ).
fof(f13524,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X2 = k3_tsp_2(X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_tsp_2) ).
fof(f13525,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = k4_tex_4(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_tsp_2) ).
fof(f13526,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) = k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_tsp_2) ).
fof(f13527,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) = k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f13526]) ).
fof(f13534,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f13547,plain,
! [X0] :
( ~ ( ~ v1_realset1(X0)
& ! [X1,X2] :
~ ( r2_hidden(X1,X0)
& r2_hidden(X2,X0)
& X1 != X2 ) )
& ~ ( ? [X3,X4] :
( r2_hidden(X3,X0)
& r2_hidden(X4,X0)
& X3 != X4 )
& v1_realset1(X0) ) ),
inference(rectify,[],[f5563]) ).
fof(f13565,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) != k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2))
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13527]) ).
fof(f13566,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) != k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2))
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f13565]) ).
fof(f13579,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13489]) ).
fof(f13580,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f13579]) ).
fof(f13581,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13461]) ).
fof(f13583,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13459]) ).
fof(f13619,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,[],[f6435]) ).
fof(f13620,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,[],[f13619]) ).
fof(f13631,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,[],[f6857]) ).
fof(f13632,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,[],[f13631]) ).
fof(f13633,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ 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,[],[f6856]) ).
fof(f13634,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ 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,[],[f13633]) ).
fof(f13641,plain,
! [X0,X1] :
( k4_tex_4(X0,X1) = k2_tex_4(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f13370]) ).
fof(f13642,plain,
! [X0,X1] :
( k4_tex_4(X0,X1) = k2_tex_4(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f13641]) ).
fof(f13643,plain,
! [X0,X1] :
( ( ~ v1_xboole_0(k4_tex_4(X0,X1))
& m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f13369]) ).
fof(f13644,plain,
! [X0,X1] :
( ( ~ v1_xboole_0(k4_tex_4(X0,X1))
& m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f13643]) ).
fof(f13645,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = k4_tex_4(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13525]) ).
fof(f13646,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = k4_tex_4(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f13645]) ).
fof(f13647,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_tsp_2(X0,X1)
<=> ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13524]) ).
fof(f13648,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_tsp_2(X0,X1)
<=> ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f13647]) ).
fof(f13649,plain,
! [X0,X1] :
( k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f13468]) ).
fof(f13650,plain,
! [X0,X1] :
( k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f13649]) ).
fof(f13651,plain,
! [X0,X1] :
( ( v1_funct_1(k3_tsp_2(X0,X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f13467]) ).
fof(f13652,plain,
! [X0,X1] :
( ( v1_funct_1(k3_tsp_2(X0,X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f13651]) ).
fof(f13677,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f13686,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f13687,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f13686]) ).
fof(f13912,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f14015,plain,
! [X0] :
( k1_xboole_0 = X0
| ? [X1] :
( r2_hidden(X1,X0)
& ! [X2] :
( r1_xboole_0(X2,X0)
| ~ r2_hidden(X2,X1) ) ) ),
inference(ennf_transformation,[],[f1638]) ).
fof(f14142,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6850]) ).
fof(f14268,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(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_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f7062]) ).
fof(f14269,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(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_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f14268]) ).
fof(f14291,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k2_pre_topc(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6796]) ).
fof(f14292,plain,
! [X0] :
( ! [X1] :
( r2_hidden(X1,k2_pre_topc(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f14291]) ).
fof(f14293,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6795]) ).
fof(f14346,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f1055]) ).
fof(f14347,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f14346]) ).
fof(f14348,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) ) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f1037]) ).
fof(f14349,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) ) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f14348]) ).
fof(f14357,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f865]) ).
fof(f14358,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f14357]) ).
fof(f14370,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f853]) ).
fof(f14394,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f574]) ).
fof(f14395,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f14394]) ).
fof(f14456,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13298]) ).
fof(f14457,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k2_tex_4(X0,X1))
<=> k2_tex_4(X0,X2) = k2_tex_4(X0,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f14456]) ).
fof(f14460,plain,
! [X0] :
( ! [X1] :
( r1_tarski(k1_struct_0(X0,X1),k2_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13295]) ).
fof(f14461,plain,
! [X0] :
( ! [X1] :
( r1_tarski(k1_struct_0(X0,X1),k2_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f14460]) ).
fof(f14471,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f14480,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_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,[],[f6859]) ).
fof(f14481,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_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,[],[f14480]) ).
fof(f14488,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k1_struct_0(X1,X3)) = k4_tex_4(X0,X2)
| X2 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13521]) ).
fof(f14489,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k1_struct_0(X1,X3)) = k4_tex_4(X0,X2)
| X2 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f14488]) ).
fof(f14492,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13519]) ).
fof(f14493,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f14492]) ).
fof(f14496,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1392]) ).
fof(f14497,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1333]) ).
fof(f14746,plain,
! [X0] :
( ( v1_realset1(X0)
| ? [X1,X2] :
( r2_hidden(X1,X0)
& r2_hidden(X2,X0)
& X1 != X2 ) )
& ( ! [X3,X4] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X4,X0)
| X3 = X4 )
| ~ v1_realset1(X0) ) ),
inference(ennf_transformation,[],[f13547]) ).
fof(f15487,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),X1)
| ~ r1_tarski(X0,k10_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f10761]) ).
fof(f15488,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),X1)
| ~ r1_tarski(X0,k10_relat_1(X2,X1))
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f15487]) ).
fof(f15520,plain,
! [X0,X1,X2] :
( k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))) = k3_xboole_0(k9_relat_1(X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(ennf_transformation,[],[f1089]) ).
fof(f15521,plain,
! [X0,X1,X2] :
( k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))) = k3_xboole_0(k9_relat_1(X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(flattening,[],[f15520]) ).
fof(f15526,plain,
! [X0,X1] :
( k9_relat_1(X1,k10_relat_1(X1,X0)) = X0
| ~ r1_tarski(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f1086]) ).
fof(f15527,plain,
! [X0,X1] :
( k9_relat_1(X1,k10_relat_1(X1,X0)) = X0
| ~ r1_tarski(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f15526]) ).
fof(f15542,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k10_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X3),X1) ) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f1065]) ).
fof(f15543,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k10_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X3),X1) ) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f15542]) ).
fof(f15571,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) = k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13515]) ).
fof(f15572,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) = k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f15571]) ).
fof(f15575,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13512]) ).
fof(f15576,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f15575]) ).
fof(f15657,plain,
( k4_pre_topc(sK46,sK47,k3_tsp_2(sK46,sK47),k1_struct_0(sK46,sK48)) != k4_pre_topc(sK46,sK47,k3_tsp_2(sK46,sK47),k4_tex_4(sK46,sK48))
& m1_subset_1(sK48,u1_struct_0(sK46))
& ~ v3_struct_0(sK47)
& v2_tsp_2(sK47,sK46)
& m2_tsp_1(sK47,sK46)
& ~ v3_struct_0(sK46)
& v2_pre_topc(sK46)
& l1_pre_topc(sK46) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47,sK48]),skolemize(X0,sK46),skolemize(X1,sK47),skolemize(X2,sK48)],[f13566]) ).
fof(f15677,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f13581]) ).
fof(f15714,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_tsp_2(X0,X1)
| ? [X3] :
( ~ r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X3] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| k3_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f13648]) ).
fof(f15715,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_tsp_2(X0,X1)
| ? [X3] :
( ~ r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k4_tex_4(X0,X3))
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X4] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4),k4_tex_4(X0,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| k3_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f15714]) ).
fof(f15716,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_tsp_2(X0,X1)
| ( ~ r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK76(X0,X1,X2)),k4_tex_4(X0,sK76(X0,X1,X2)))
& m1_subset_1(sK76(X0,X1,X2),u1_struct_0(X0)) ) )
& ( ! [X4] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4),k4_tex_4(X0,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| k3_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(X3,sK76(X0,X1,X2))],[f15715]) ).
fof(f15720,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f15721,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f15720]) ).
fof(f15722,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f15721]) ).
fof(f15723,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK82(X0,X1,X2),X0)
| ~ r2_hidden(sK82(X0,X1,X2),X1)
| ~ r2_hidden(sK82(X0,X1,X2),X2) )
& ( ( r2_hidden(sK82(X0,X1,X2),X0)
& r2_hidden(sK82(X0,X1,X2),X1) )
| r2_hidden(sK82(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(X3,sK82(X0,X1,X2))],[f15722]) ).
fof(f15817,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f15818,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f15817]) ).
fof(f15819,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f13912]) ).
fof(f15820,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f15819]) ).
fof(f15821,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK141(X0,X1),X1)
& r2_hidden(sK141(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK141]),skolemize(X2,sK141(X0,X1))],[f15820]) ).
fof(f15857,plain,
! [X0] :
( k1_xboole_0 = X0
| ( r2_hidden(sK167(X0),X0)
& ! [X2] :
( r1_xboole_0(X2,X0)
| ~ r2_hidden(X2,sK167(X0)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK167]),skolemize(X1,sK167(X0))],[f14015]) ).
fof(f15897,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f15898,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f15897]) ).
fof(f15899,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK187(X0,X1) != X0
| ~ r2_hidden(sK187(X0,X1),X1) )
& ( sK187(X0,X1) = X0
| r2_hidden(sK187(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK187]),skolemize(X2,sK187(X0,X1))],[f15898]) ).
fof(f15965,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X4,X1)
| k1_funct_1(X0,X4) != X3 )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X4,X1)
| k1_funct_1(X0,X4) != X3 ) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(X4,X1)
& X3 = k1_funct_1(X0,X4) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(nnf_transformation,[],[f14349]) ).
fof(f15966,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X4,X1)
| k1_funct_1(X0,X4) != X3 )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(X5,k1_relat_1(X0))
& r2_hidden(X5,X1)
& k1_funct_1(X0,X5) = X3 )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(X7,k1_relat_1(X0))
| ~ r2_hidden(X7,X1)
| k1_funct_1(X0,X7) != X6 ) )
& ( ? [X8] :
( r2_hidden(X8,k1_relat_1(X0))
& r2_hidden(X8,X1)
& k1_funct_1(X0,X8) = X6 )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(rectify,[],[f15965]) ).
fof(f15967,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(X4,X1)
| k1_funct_1(X0,X4) != sK235(X0,X1,X2) )
| ~ r2_hidden(sK235(X0,X1,X2),X2) )
& ( ( r2_hidden(sK236(X0,X1,X2),k1_relat_1(X0))
& r2_hidden(sK236(X0,X1,X2),X1)
& sK235(X0,X1,X2) = k1_funct_1(X0,sK236(X0,X1,X2)) )
| r2_hidden(sK235(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(X7,k1_relat_1(X0))
| ~ r2_hidden(X7,X1)
| k1_funct_1(X0,X7) != X6 ) )
& ( ( r2_hidden(sK237(X0,X1,X6),k1_relat_1(X0))
& r2_hidden(sK237(X0,X1,X6),X1)
& k1_funct_1(X0,sK237(X0,X1,X6)) = X6 )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK235,sK236,sK237]),skolemize(X3,sK235(X0,X1,X2)),skolemize(X5,sK236(X0,X1,X2)),skolemize(X8,sK237(X0,X1,X6))],[f15966]) ).
fof(f15977,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,[],[f1394]) ).
fof(f16011,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k2_tex_4(X0,X1))
| k2_tex_4(X0,X1) != k2_tex_4(X0,X2) )
& ( k2_tex_4(X0,X2) = k2_tex_4(X0,X1)
| ~ r2_hidden(X2,k2_tex_4(X0,X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f14457]) ).
fof(f16026,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_tsp_2(X0,X1)
| ~ v3_borsuk_1(X2,X0,X1) )
& ( v3_borsuk_1(X2,X0,X1)
| k1_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f14493]) ).
fof(f16139,plain,
! [X0] :
( ( v1_realset1(X0)
| ( r2_hidden(sK363(X0),X0)
& r2_hidden(sK364(X0),X0)
& sK363(X0) != sK364(X0) ) )
& ( ! [X3,X4] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X4,X0)
| X3 = X4 )
| ~ v1_realset1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK363,sK364]),skolemize(X1,sK363(X0)),skolemize(X2,sK364(X0))],[f14746]) ).
fof(f16461,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k10_relat_1(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X3),X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X3),X1) )
& ( ( r2_hidden(X3,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X3),X1) )
| ~ r2_hidden(X3,X2) ) )
| k10_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(nnf_transformation,[],[f15543]) ).
fof(f16462,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k10_relat_1(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X3),X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X3),X1) )
& ( ( r2_hidden(X3,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X3),X1) )
| ~ r2_hidden(X3,X2) ) )
| k10_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f16461]) ).
fof(f16463,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k10_relat_1(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X3),X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X3),X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X4),X1) )
& ( ( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X4),X1) )
| ~ r2_hidden(X4,X2) ) )
| k10_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(rectify,[],[f16462]) ).
fof(f16464,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k10_relat_1(X0,X1)
| ( ( ~ r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1)
| ~ r2_hidden(sK518(X0,X1,X2),X2) )
& ( ( r2_hidden(sK518(X0,X1,X2),k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,sK518(X0,X1,X2)),X1) )
| r2_hidden(sK518(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,k1_relat_1(X0))
| ~ r2_hidden(k1_funct_1(X0,X4),X1) )
& ( ( r2_hidden(X4,k1_relat_1(X0))
& r2_hidden(k1_funct_1(X0,X4),X1) )
| ~ r2_hidden(X4,X2) ) )
| k10_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK518]),skolemize(X3,sK518(X0,X1,X2))],[f16463]) ).
fof(f16472,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(sK523(X0,X1))
& v1_funct_2(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK523(X0,X1),X0,X1)
& m2_relset_1(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(sK523(X0,X1),X0,X1) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK523]),skolemize(X2,sK523(X0,X1))],[f15576]) ).
fof(f16480,plain,
l1_pre_topc(sK46),
inference(cnf_transformation,[],[f15657]) ).
fof(f16481,plain,
v2_pre_topc(sK46),
inference(cnf_transformation,[],[f15657]) ).
fof(f16482,plain,
~ v3_struct_0(sK46),
inference(cnf_transformation,[],[f15657]) ).
fof(f16483,plain,
m2_tsp_1(sK47,sK46),
inference(cnf_transformation,[],[f15657]) ).
fof(f16484,plain,
v2_tsp_2(sK47,sK46),
inference(cnf_transformation,[],[f15657]) ).
fof(f16485,plain,
~ v3_struct_0(sK47),
inference(cnf_transformation,[],[f15657]) ).
fof(f16486,plain,
m1_subset_1(sK48,u1_struct_0(sK46)),
inference(cnf_transformation,[],[f15657]) ).
fof(f16487,plain,
k4_pre_topc(sK46,sK47,k3_tsp_2(sK46,sK47),k1_struct_0(sK46,sK48)) != k4_pre_topc(sK46,sK47,k3_tsp_2(sK46,sK47),k4_tex_4(sK46,sK48)),
inference(cnf_transformation,[],[f15657]) ).
fof(f16517,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13580]) ).
fof(f16518,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f15677]) ).
fof(f16521,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13583]) ).
fof(f16608,plain,
! [X0,X1] :
( k1_tarski(X1) = k1_struct_0(X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13620]) ).
fof(f16620,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X2,X3) = k4_pre_topc(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)) ),
inference(cnf_transformation,[],[f13632]) ).
fof(f16621,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ 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(cnf_transformation,[],[f13634]) ).
fof(f16642,plain,
! [X0,X1] :
( k2_tex_4(X0,X1) = k4_tex_4(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13642]) ).
fof(f16643,plain,
! [X0,X1] :
( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13644]) ).
fof(f16645,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X2) = k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13646]) ).
fof(f16646,plain,
! [X2,X0,X1,X4] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4),k4_tex_4(X0,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k3_tsp_2(X0,X1) != X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f15716]) ).
fof(f16647,plain,
! [X2,X0,X1] :
( m1_subset_1(sK76(X0,X1,X2),u1_struct_0(X0))
| k3_tsp_2(X0,X1) = X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f15716]) ).
fof(f16648,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK76(X0,X1,X2)),k4_tex_4(X0,sK76(X0,X1,X2)))
| k3_tsp_2(X0,X1) = X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f15716]) ).
fof(f16649,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13650]) ).
fof(f16650,plain,
! [X0,X1] :
( m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13652]) ).
fof(f16651,plain,
! [X0,X1] :
( v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13652]) ).
fof(f16652,plain,
! [X0,X1] :
( v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13652]) ).
fof(f16653,plain,
! [X0,X1] :
( v1_funct_1(k3_tsp_2(X0,X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13652]) ).
fof(f16687,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f13677]) ).
fof(f16704,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f16705,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f15723]) ).
fof(f16706,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f15723]) ).
fof(f16711,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f13687]) ).
fof(f17062,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f15818]) ).
fof(f17063,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f13534]) ).
fof(f17064,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f15821]) ).
fof(f17065,plain,
! [X0,X1] :
( r2_hidden(sK141(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15821]) ).
fof(f17066,plain,
! [X0,X1] :
( ~ r2_hidden(sK141(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f15821]) ).
fof(f17239,plain,
! [X0] :
( r2_hidden(sK167(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f15857]) ).
fof(f17405,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ r2_hidden(X3,X1)
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f15899]) ).
fof(f17406,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| X0 != X3
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f15899]) ).
fof(f17423,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14142]) ).
fof(f17610,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k1_relat_1(X2) = k2_pre_topc(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14269]) ).
fof(f17646,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r2_hidden(X1,k2_pre_topc(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14292]) ).
fof(f17647,plain,
! [X0] :
( u1_struct_0(X0) = k2_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14293]) ).
fof(f17681,plain,
! [X0,X1] :
( k1_tarski(k1_funct_1(X1,X0)) = k9_relat_1(X1,k1_tarski(X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f14347]) ).
fof(f17682,plain,
! [X2,X0,X1,X6] :
( k1_funct_1(X0,sK237(X0,X1,X6)) = X6
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15967]) ).
fof(f17683,plain,
! [X2,X0,X1,X6] :
( r2_hidden(sK237(X0,X1,X6),X1)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15967]) ).
fof(f17685,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(X7,k1_relat_1(X0))
| ~ r2_hidden(X7,X1)
| k1_funct_1(X0,X7) != X6
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f15967]) ).
fof(f17695,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f14358]) ).
fof(f17708,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f14370]) ).
fof(f17728,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f15977]) ).
fof(f17746,plain,
! [X2,X0,X1] :
( k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14395]) ).
fof(f17849,plain,
! [X2,X0,X1] :
( k2_tex_4(X0,X1) = k2_tex_4(X0,X2)
| ~ r2_hidden(X2,k2_tex_4(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16011]) ).
fof(f17852,plain,
! [X0,X1] :
( r1_tarski(k1_struct_0(X0,X1),k2_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f14461]) ).
fof(f17867,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f14471]) ).
fof(f17879,plain,
! [X2,X3,X0,X1] :
( k10_relat_1(X2,X3) = k5_pre_topc(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)) ),
inference(cnf_transformation,[],[f14481]) ).
fof(f17886,plain,
! [X2,X3,X0,X1] :
( k4_tex_4(X0,X2) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k1_struct_0(X1,X3))
| X2 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f14489]) ).
fof(f17889,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k1_tsp_2(X0,X1) = X2
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16026]) ).
fof(f17895,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f14496]) ).
fof(f17896,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f14497]) ).
fof(f18282,plain,
! [X3,X0,X4] :
( ~ r2_hidden(X4,X0)
| ~ r2_hidden(X3,X0)
| X3 = X4
| ~ v1_realset1(X0) ),
inference(cnf_transformation,[],[f16139]) ).
fof(f18285,plain,
! [X0] :
( r2_hidden(sK363(X0),X0)
| v1_realset1(X0) ),
inference(cnf_transformation,[],[f16139]) ).
fof(f18545,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f3384]) ).
fof(f19502,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k10_relat_1(X2,X1))
| r1_tarski(k9_relat_1(X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f15488]) ).
fof(f19522,plain,
! [X2,X0,X1] :
( k9_relat_1(X2,k3_xboole_0(X0,k10_relat_1(X2,X1))) = k3_xboole_0(k9_relat_1(X2,X0),X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f15521]) ).
fof(f19525,plain,
! [X0,X1] :
( k9_relat_1(X1,k10_relat_1(X1,X0)) = X0
| ~ r1_tarski(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f15527]) ).
fof(f19538,plain,
! [X2,X0,X1,X4] :
( r2_hidden(k1_funct_1(X0,X4),X1)
| ~ r2_hidden(X4,X2)
| k10_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f16464]) ).
fof(f19574,plain,
! [X2,X3,X0,X1,X4] :
( k5_subset_1(u1_struct_0(X0),X3,k4_tex_4(X0,X4)) = k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f15572]) ).
fof(f19576,plain,
! [X0,X1] :
( v3_borsuk_1(sK523(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16472]) ).
fof(f19577,plain,
! [X0,X1] :
( m2_relset_1(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16472]) ).
fof(f19578,plain,
! [X0,X1] :
( v5_pre_topc(sK523(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16472]) ).
fof(f19579,plain,
! [X0,X1] :
( v1_funct_2(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16472]) ).
fof(f19580,plain,
! [X0,X1] :
( v1_funct_1(sK523(X0,X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f16472]) ).
fof(f19616,plain,
! [X0,X1,X4] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X4),k4_tex_4(X0,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v1_funct_1(k3_tsp_2(X0,X1))
| ~ v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f16646]) ).
fof(f19619,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f16706]) ).
fof(f19620,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f16705]) ).
fof(f19664,plain,
! [X3,X1] :
( r2_hidden(X3,X1)
| k1_tarski(X3) != X1 ),
inference(equality_resolution,[],[f17406]) ).
fof(f19665,plain,
! [X3] : r2_hidden(X3,k1_tarski(X3)),
inference(equality_resolution,[],[f19664]) ).
fof(f19666,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k1_tarski(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f17405]) ).
fof(f19700,plain,
! [X2,X0,X1,X7] :
( r2_hidden(k1_funct_1(X0,X7),X2)
| ~ r2_hidden(X7,k1_relat_1(X0))
| ~ r2_hidden(X7,X1)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f17685]) ).
fof(f19701,plain,
! [X0,X1,X7] :
( r2_hidden(k1_funct_1(X0,X7),k9_relat_1(X0,X1))
| ~ r2_hidden(X7,k1_relat_1(X0))
| ~ r2_hidden(X7,X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f19700]) ).
fof(f19703,plain,
! [X0,X1,X6] :
( r2_hidden(sK237(X0,X1,X6),X1)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f17683]) ).
fof(f19704,plain,
! [X0,X1,X6] :
( k1_funct_1(X0,sK237(X0,X1,X6)) = X6
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f17682]) ).
fof(f19714,plain,
! [X3,X0,X1] :
( k4_tex_4(X0,X3) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k1_struct_0(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f17886]) ).
fof(f19843,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k10_relat_1(X0,X1))
| r2_hidden(k1_funct_1(X0,X4),X1)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f19538]) ).
fof(f19850,plain,
! [X2,X0,X1,X4] :
( k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k4_tex_4(X0,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f19574]) ).
fof(f19854,definition,
sF529 = k3_tsp_2(sK46,sK47),
introduced(definition,[new_symbols(definition,[sF529])],[function_definition]) ).
fof(f19855,plain,
k3_tsp_2(sK46,sK47) = sF529,
inference(reorient_equations,[],[f19854]) ).
fof(f19856,definition,
sF530 = k1_struct_0(sK46,sK48),
introduced(definition,[new_symbols(definition,[sF530])],[function_definition]) ).
fof(f19857,plain,
k1_struct_0(sK46,sK48) = sF530,
inference(reorient_equations,[],[f19856]) ).
fof(f19858,definition,
sF531 = k4_pre_topc(sK46,sK47,sF529,sF530),
introduced(definition,[new_symbols(definition,[sF531])],[function_definition]) ).
fof(f19859,plain,
k4_pre_topc(sK46,sK47,sF529,sF530) = sF531,
inference(reorient_equations,[],[f19858]) ).
fof(f19860,definition,
sF532 = k4_tex_4(sK46,sK48),
introduced(definition,[new_symbols(definition,[sF532])],[function_definition]) ).
fof(f19861,plain,
k4_tex_4(sK46,sK48) = sF532,
inference(reorient_equations,[],[f19860]) ).
fof(f19862,definition,
sF533 = k4_pre_topc(sK46,sK47,sF529,sF532),
introduced(definition,[new_symbols(definition,[sF533])],[function_definition]) ).
fof(f19863,plain,
k4_pre_topc(sK46,sK47,sF529,sF532) = sF533,
inference(reorient_equations,[],[f19862]) ).
fof(f19864,plain,
sF531 != sF533,
inference(definition_folding,[],[f16487,f19863,f19861,f19855,f19859,f19857,f19855]) ).
fof(f19865,definition,
sF534 = u1_struct_0(sK46),
introduced(definition,[new_symbols(definition,[sF534])],[function_definition]) ).
fof(f19866,plain,
u1_struct_0(sK46) = sF534,
inference(reorient_equations,[],[f19865]) ).
fof(f19867,plain,
m1_subset_1(sK48,sF534),
inference(definition_folding,[],[f16486,f19866]) ).
fof(f20191,definition,
( spl535_63
<=> v1_xboole_0(k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[spl535_63])],[avatar_definition]) ).
fof(f20194,plain,
spl535_63,
inference(avatar_split_clause,[],[f18545,f20191]) ).
fof(f20660,definition,
( spl535_158
<=> l1_pre_topc(sK46) ),
introduced(definition,[new_symbols(definition,[spl535_158])],[avatar_definition]) ).
fof(f20662,plain,
( l1_pre_topc(sK46)
| ~ spl535_158 ),
inference(avatar_component_clause,[],[f20660]) ).
fof(f20663,plain,
spl535_158,
inference(avatar_split_clause,[],[f16480,f20660]) ).
fof(f20665,definition,
( spl535_159
<=> v2_pre_topc(sK46) ),
introduced(definition,[new_symbols(definition,[spl535_159])],[avatar_definition]) ).
fof(f20667,plain,
( v2_pre_topc(sK46)
| ~ spl535_159 ),
inference(avatar_component_clause,[],[f20665]) ).
fof(f20668,plain,
spl535_159,
inference(avatar_split_clause,[],[f16481,f20665]) ).
fof(f20670,definition,
( spl535_160
<=> v3_struct_0(sK46) ),
introduced(definition,[new_symbols(definition,[spl535_160])],[avatar_definition]) ).
fof(f20672,plain,
( ~ v3_struct_0(sK46)
| spl535_160 ),
inference(avatar_component_clause,[],[f20670]) ).
fof(f20673,plain,
~ spl535_160,
inference(avatar_split_clause,[],[f16482,f20670]) ).
fof(f20675,definition,
( spl535_161
<=> m2_tsp_1(sK47,sK46) ),
introduced(definition,[new_symbols(definition,[spl535_161])],[avatar_definition]) ).
fof(f20677,plain,
( m2_tsp_1(sK47,sK46)
| ~ spl535_161 ),
inference(avatar_component_clause,[],[f20675]) ).
fof(f20678,plain,
spl535_161,
inference(avatar_split_clause,[],[f16483,f20675]) ).
fof(f20680,definition,
( spl535_162
<=> v2_tsp_2(sK47,sK46) ),
introduced(definition,[new_symbols(definition,[spl535_162])],[avatar_definition]) ).
fof(f20682,plain,
( v2_tsp_2(sK47,sK46)
| ~ spl535_162 ),
inference(avatar_component_clause,[],[f20680]) ).
fof(f20683,plain,
spl535_162,
inference(avatar_split_clause,[],[f16484,f20680]) ).
fof(f20685,definition,
( spl535_163
<=> v3_struct_0(sK47) ),
introduced(definition,[new_symbols(definition,[spl535_163])],[avatar_definition]) ).
fof(f20687,plain,
( ~ v3_struct_0(sK47)
| spl535_163 ),
inference(avatar_component_clause,[],[f20685]) ).
fof(f20688,plain,
~ spl535_163,
inference(avatar_split_clause,[],[f16485,f20685]) ).
fof(f20690,definition,
( spl535_164
<=> m1_subset_1(sK48,sF534) ),
introduced(definition,[new_symbols(definition,[spl535_164])],[avatar_definition]) ).
fof(f20692,plain,
( m1_subset_1(sK48,sF534)
| ~ spl535_164 ),
inference(avatar_component_clause,[],[f20690]) ).
fof(f20693,plain,
spl535_164,
inference(avatar_split_clause,[],[f19867,f20690]) ).
fof(f20695,definition,
( spl535_165
<=> sF531 = sF533 ),
introduced(definition,[new_symbols(definition,[spl535_165])],[avatar_definition]) ).
fof(f20697,plain,
( sF531 != sF533
| spl535_165 ),
inference(avatar_component_clause,[],[f20695]) ).
fof(f20698,plain,
~ spl535_165,
inference(avatar_split_clause,[],[f19864,f20695]) ).
fof(f20700,definition,
( spl535_166
<=> k3_tsp_2(sK46,sK47) = sF529 ),
introduced(definition,[new_symbols(definition,[spl535_166])],[avatar_definition]) ).
fof(f20702,plain,
( k3_tsp_2(sK46,sK47) = sF529
| ~ spl535_166 ),
inference(avatar_component_clause,[],[f20700]) ).
fof(f20703,plain,
spl535_166,
inference(avatar_split_clause,[],[f19855,f20700]) ).
fof(f20705,definition,
( spl535_167
<=> k1_struct_0(sK46,sK48) = sF530 ),
introduced(definition,[new_symbols(definition,[spl535_167])],[avatar_definition]) ).
fof(f20707,plain,
( k1_struct_0(sK46,sK48) = sF530
| ~ spl535_167 ),
inference(avatar_component_clause,[],[f20705]) ).
fof(f20708,plain,
spl535_167,
inference(avatar_split_clause,[],[f19857,f20705]) ).
fof(f20710,definition,
( spl535_168
<=> k4_pre_topc(sK46,sK47,sF529,sF530) = sF531 ),
introduced(definition,[new_symbols(definition,[spl535_168])],[avatar_definition]) ).
fof(f20712,plain,
( k4_pre_topc(sK46,sK47,sF529,sF530) = sF531
| ~ spl535_168 ),
inference(avatar_component_clause,[],[f20710]) ).
fof(f20713,plain,
spl535_168,
inference(avatar_split_clause,[],[f19859,f20710]) ).
fof(f20715,definition,
( spl535_169
<=> k4_tex_4(sK46,sK48) = sF532 ),
introduced(definition,[new_symbols(definition,[spl535_169])],[avatar_definition]) ).
fof(f20717,plain,
( k4_tex_4(sK46,sK48) = sF532
| ~ spl535_169 ),
inference(avatar_component_clause,[],[f20715]) ).
fof(f20718,plain,
spl535_169,
inference(avatar_split_clause,[],[f19861,f20715]) ).
fof(f20720,definition,
( spl535_170
<=> k4_pre_topc(sK46,sK47,sF529,sF532) = sF533 ),
introduced(definition,[new_symbols(definition,[spl535_170])],[avatar_definition]) ).
fof(f20722,plain,
( k4_pre_topc(sK46,sK47,sF529,sF532) = sF533
| ~ spl535_170 ),
inference(avatar_component_clause,[],[f20720]) ).
fof(f20723,plain,
spl535_170,
inference(avatar_split_clause,[],[f19863,f20720]) ).
fof(f20725,definition,
( spl535_171
<=> u1_struct_0(sK46) = sF534 ),
introduced(definition,[new_symbols(definition,[spl535_171])],[avatar_definition]) ).
fof(f20727,plain,
( u1_struct_0(sK46) = sF534
| ~ spl535_171 ),
inference(avatar_component_clause,[],[f20725]) ).
fof(f20728,plain,
spl535_171,
inference(avatar_split_clause,[],[f19866,f20725]) ).
fof(f20749,plain,
( sF532 = k2_tex_4(sK46,sK48)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_169 ),
inference(superposition,[],[f16642,f20717]) ).
fof(f20752,plain,
( sF532 = k2_tex_4(sK46,sK48)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| spl535_160
| ~ spl535_169 ),
inference(forward_subsumption_resolution,[],[f20749,f20672]) ).
fof(f20754,plain,
( sF532 = k2_tex_4(sK46,sK48)
| ~ v2_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_158
| spl535_160
| ~ spl535_169 ),
inference(forward_subsumption_resolution,[],[f20752,f20662]) ).
fof(f20756,plain,
( ~ m1_subset_1(sK48,sF534)
| sF532 = k2_tex_4(sK46,sK48)
| ~ v2_pre_topc(sK46)
| ~ spl535_158
| spl535_160
| ~ spl535_169
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20754,f20727]) ).
fof(f20758,plain,
( sF532 = k2_tex_4(sK46,sK48)
| ~ v2_pre_topc(sK46)
| ~ spl535_158
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f20756,f20692]) ).
fof(f20760,definition,
( spl535_176
<=> sF532 = k2_tex_4(sK46,sK48) ),
introduced(definition,[new_symbols(definition,[spl535_176])],[avatar_definition]) ).
fof(f20762,plain,
( sF532 = k2_tex_4(sK46,sK48)
| ~ spl535_176 ),
inference(avatar_component_clause,[],[f20760]) ).
fof(f20764,plain,
( ~ spl535_159
| spl535_176
| ~ spl535_158
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171 ),
inference(avatar_split_clause,[],[f20758,f20725,f20715,f20690,f20670,f20660,f20760,f20665]) ).
fof(f20765,plain,
( m2_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_166 ),
inference(superposition,[],[f16650,f20702]) ).
fof(f20770,plain,
( m2_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20765,f20672]) ).
fof(f20772,plain,
( m2_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20770,f20667]) ).
fof(f20774,plain,
( m2_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20772,f20662]) ).
fof(f20775,plain,
( m2_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20774,f20687]) ).
fof(f20776,plain,
( m2_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20775,f20682]) ).
fof(f20777,plain,
( m2_relset_1(sF529,sF534,u1_struct_0(sK47))
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20776,f20727]) ).
fof(f20779,definition,
( spl535_177
<=> m1_pre_topc(sK47,sK46) ),
introduced(definition,[new_symbols(definition,[spl535_177])],[avatar_definition]) ).
fof(f20780,plain,
( m1_pre_topc(sK47,sK46)
| ~ spl535_177 ),
inference(avatar_component_clause,[],[f20779]) ).
fof(f20783,definition,
( spl535_178
<=> m2_relset_1(sF529,sF534,u1_struct_0(sK47)) ),
introduced(definition,[new_symbols(definition,[spl535_178])],[avatar_definition]) ).
fof(f20785,plain,
( m2_relset_1(sF529,sF534,u1_struct_0(sK47))
| ~ spl535_178 ),
inference(avatar_component_clause,[],[f20783]) ).
fof(f20786,plain,
( ~ spl535_177
| spl535_178
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171 ),
inference(avatar_split_clause,[],[f20777,f20725,f20700,f20685,f20680,f20670,f20665,f20660,f20783,f20779]) ).
fof(f20787,plain,
( v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_166 ),
inference(superposition,[],[f16652,f20702]) ).
fof(f20792,plain,
( v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20787,f20672]) ).
fof(f20794,plain,
( v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20792,f20667]) ).
fof(f20796,plain,
( v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20794,f20662]) ).
fof(f20797,plain,
( v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20796,f20687]) ).
fof(f20798,plain,
( v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20797,f20682]) ).
fof(f20799,plain,
( v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20798,f20727]) ).
fof(f20801,definition,
( spl535_179
<=> v1_funct_2(sF529,sF534,u1_struct_0(sK47)) ),
introduced(definition,[new_symbols(definition,[spl535_179])],[avatar_definition]) ).
fof(f20803,plain,
( v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| ~ spl535_179 ),
inference(avatar_component_clause,[],[f20801]) ).
fof(f20804,plain,
( ~ spl535_177
| spl535_179
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171 ),
inference(avatar_split_clause,[],[f20799,f20725,f20700,f20685,f20680,f20670,f20665,f20660,f20801,f20779]) ).
fof(f20805,plain,
( m1_pre_topc(sK47,sK46)
| ~ l1_pre_topc(sK46)
| ~ spl535_161 ),
inference(resolution,[],[f16518,f20677]) ).
fof(f20806,plain,
( m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_161 ),
inference(forward_subsumption_resolution,[],[f20805,f20662]) ).
fof(f20807,plain,
( spl535_177
| ~ spl535_158
| ~ spl535_161 ),
inference(avatar_split_clause,[],[f20806,f20675,f20660,f20779]) ).
fof(f20838,definition,
( spl535_180
<=> v5_pre_topc(sF529,sK46,sK47) ),
introduced(definition,[new_symbols(definition,[spl535_180])],[avatar_definition]) ).
fof(f20839,plain,
( v5_pre_topc(sF529,sK46,sK47)
| ~ spl535_180 ),
inference(avatar_component_clause,[],[f20838]) ).
fof(f20842,definition,
( spl535_181
<=> v1_funct_1(sF529) ),
introduced(definition,[new_symbols(definition,[spl535_181])],[avatar_definition]) ).
fof(f20843,plain,
( v1_funct_1(sF529)
| ~ spl535_181 ),
inference(avatar_component_clause,[],[f20842]) ).
fof(f20849,plain,
( l1_pre_topc(sK47)
| ~ l1_pre_topc(sK46)
| ~ spl535_161 ),
inference(resolution,[],[f16521,f20677]) ).
fof(f20850,plain,
( l1_pre_topc(sK47)
| ~ spl535_158
| ~ spl535_161 ),
inference(forward_subsumption_resolution,[],[f20849,f20662]) ).
fof(f20852,definition,
( spl535_183
<=> l1_pre_topc(sK47) ),
introduced(definition,[new_symbols(definition,[spl535_183])],[avatar_definition]) ).
fof(f20854,plain,
( l1_pre_topc(sK47)
| ~ spl535_183 ),
inference(avatar_component_clause,[],[f20852]) ).
fof(f20855,plain,
( spl535_183
| ~ spl535_158
| ~ spl535_161 ),
inference(avatar_split_clause,[],[f20850,f20675,f20660,f20852]) ).
fof(f20856,plain,
( sF531 = k9_relat_1(sF529,sF530)
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_168 ),
inference(superposition,[],[f16620,f20712]) ).
fof(f20857,plain,
( sF533 = k9_relat_1(sF529,sF532)
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_170 ),
inference(superposition,[],[f16620,f20722]) ).
fof(f20862,plain,
( ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| sF533 = k9_relat_1(sF529,sF532)
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_170
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20857,f20727]) ).
fof(f20863,plain,
( ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| sF531 = k9_relat_1(sF529,sF530)
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_168
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20856,f20727]) ).
fof(f20866,plain,
( sF533 = k9_relat_1(sF529,sF532)
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_170
| ~ spl535_171
| ~ spl535_179 ),
inference(forward_subsumption_resolution,[],[f20862,f20803]) ).
fof(f20867,plain,
( sF531 = k9_relat_1(sF529,sF530)
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_168
| ~ spl535_171
| ~ spl535_179 ),
inference(forward_subsumption_resolution,[],[f20863,f20803]) ).
fof(f20870,plain,
( ~ m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| sF533 = k9_relat_1(sF529,sF532)
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ spl535_170
| ~ spl535_171
| ~ spl535_179 ),
inference(forward_demodulation,[],[f20866,f20727]) ).
fof(f20871,plain,
( ~ m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| sF531 = k9_relat_1(sF529,sF530)
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ spl535_168
| ~ spl535_171
| ~ spl535_179 ),
inference(forward_demodulation,[],[f20867,f20727]) ).
fof(f20873,definition,
( spl535_184
<=> l1_struct_0(sK47) ),
introduced(definition,[new_symbols(definition,[spl535_184])],[avatar_definition]) ).
fof(f20874,plain,
( l1_struct_0(sK47)
| ~ spl535_184 ),
inference(avatar_component_clause,[],[f20873]) ).
fof(f20877,definition,
( spl535_185
<=> l1_struct_0(sK46) ),
introduced(definition,[new_symbols(definition,[spl535_185])],[avatar_definition]) ).
fof(f20878,plain,
( l1_struct_0(sK46)
| ~ spl535_185 ),
inference(avatar_component_clause,[],[f20877]) ).
fof(f20881,definition,
( spl535_186
<=> sF533 = k9_relat_1(sF529,sF532) ),
introduced(definition,[new_symbols(definition,[spl535_186])],[avatar_definition]) ).
fof(f20883,plain,
( sF533 = k9_relat_1(sF529,sF532)
| ~ spl535_186 ),
inference(avatar_component_clause,[],[f20881]) ).
fof(f20885,definition,
( spl535_187
<=> m1_relset_1(sF529,sF534,u1_struct_0(sK47)) ),
introduced(definition,[new_symbols(definition,[spl535_187])],[avatar_definition]) ).
fof(f20886,plain,
( m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| ~ spl535_187 ),
inference(avatar_component_clause,[],[f20885]) ).
fof(f20890,definition,
( spl535_188
<=> sF531 = k9_relat_1(sF529,sF530) ),
introduced(definition,[new_symbols(definition,[spl535_188])],[avatar_definition]) ).
fof(f20892,plain,
( sF531 = k9_relat_1(sF529,sF530)
| ~ spl535_188 ),
inference(avatar_component_clause,[],[f20890]) ).
fof(f20894,plain,
( ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| spl535_186
| ~ spl535_187
| ~ spl535_170
| ~ spl535_171
| ~ spl535_179 ),
inference(avatar_split_clause,[],[f20870,f20801,f20725,f20720,f20885,f20881,f20877,f20873,f20842]) ).
fof(f20895,plain,
( ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| spl535_188
| ~ spl535_187
| ~ spl535_168
| ~ spl535_171
| ~ spl535_179 ),
inference(avatar_split_clause,[],[f20871,f20801,f20725,f20710,f20885,f20890,f20877,f20873,f20842]) ).
fof(f20897,plain,
( sF529 = k1_tsp_2(sK46,sK47)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_166 ),
inference(superposition,[],[f20702,f16649]) ).
fof(f20898,plain,
! [X2,X0,X1] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2),k4_tex_4(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(superposition,[],[f19616,f16649]) ).
fof(f20903,plain,
! [X2,X0,X1] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2),k4_tex_4(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_pre_topc(X1,X0) ),
inference(duplicate_literal_removal,[],[f20898]) ).
fof(f20904,plain,
! [X2,X0,X1] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2),k4_tex_4(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f20903,f16518]) ).
fof(f20905,plain,
( sF529 = k1_tsp_2(sK46,sK47)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20897,f20672]) ).
fof(f20907,plain,
( sF529 = k1_tsp_2(sK46,sK47)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20905,f20667]) ).
fof(f20909,plain,
( sF529 = k1_tsp_2(sK46,sK47)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20907,f20662]) ).
fof(f20911,plain,
( sF529 = k1_tsp_2(sK46,sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20909,f20687]) ).
fof(f20913,plain,
( sF529 = k1_tsp_2(sK46,sK47)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20911,f20682]) ).
fof(f20915,plain,
( sF529 = k1_tsp_2(sK46,sK47)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177 ),
inference(forward_subsumption_resolution,[],[f20913,f20780]) ).
fof(f20918,definition,
( spl535_189
<=> sF529 = k1_tsp_2(sK46,sK47) ),
introduced(definition,[new_symbols(definition,[spl535_189])],[avatar_definition]) ).
fof(f20920,plain,
( sF529 = k1_tsp_2(sK46,sK47)
| ~ spl535_189 ),
inference(avatar_component_clause,[],[f20918]) ).
fof(f20921,plain,
( spl535_189
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177 ),
inference(avatar_split_clause,[],[f20915,f20779,f20700,f20685,f20680,f20670,f20665,f20660,f20918]) ).
fof(f20922,plain,
( m1_subset_1(sF531,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_168 ),
inference(superposition,[],[f16621,f20712]) ).
fof(f20923,plain,
( m1_subset_1(sF533,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_170 ),
inference(superposition,[],[f16621,f20722]) ).
fof(f20931,plain,
( ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| m1_subset_1(sF533,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_170
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20923,f20727]) ).
fof(f20932,plain,
( ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| m1_subset_1(sF531,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_168
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20922,f20727]) ).
fof(f20933,plain,
( m1_subset_1(sF533,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_170
| ~ spl535_171
| ~ spl535_179 ),
inference(forward_subsumption_resolution,[],[f20931,f20803]) ).
fof(f20934,plain,
( m1_subset_1(sF531,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ spl535_168
| ~ spl535_171
| ~ spl535_179 ),
inference(forward_subsumption_resolution,[],[f20932,f20803]) ).
fof(f20935,plain,
( ~ m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| m1_subset_1(sF533,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ spl535_170
| ~ spl535_171
| ~ spl535_179 ),
inference(forward_demodulation,[],[f20933,f20727]) ).
fof(f20936,plain,
( ~ m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| m1_subset_1(sF531,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ spl535_168
| ~ spl535_171
| ~ spl535_179 ),
inference(forward_demodulation,[],[f20934,f20727]) ).
fof(f20938,definition,
( spl535_191
<=> m1_subset_1(sF533,k1_zfmisc_1(u1_struct_0(sK47))) ),
introduced(definition,[new_symbols(definition,[spl535_191])],[avatar_definition]) ).
fof(f20940,plain,
( m1_subset_1(sF533,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ spl535_191 ),
inference(avatar_component_clause,[],[f20938]) ).
fof(f20941,plain,
( ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| spl535_191
| ~ spl535_187
| ~ spl535_170
| ~ spl535_171
| ~ spl535_179 ),
inference(avatar_split_clause,[],[f20935,f20801,f20725,f20720,f20885,f20938,f20877,f20873,f20842]) ).
fof(f20943,definition,
( spl535_192
<=> m1_subset_1(sF531,k1_zfmisc_1(u1_struct_0(sK47))) ),
introduced(definition,[new_symbols(definition,[spl535_192])],[avatar_definition]) ).
fof(f20945,plain,
( m1_subset_1(sF531,k1_zfmisc_1(u1_struct_0(sK47)))
| ~ spl535_192 ),
inference(avatar_component_clause,[],[f20943]) ).
fof(f20946,plain,
( ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| spl535_192
| ~ spl535_187
| ~ spl535_168
| ~ spl535_171
| ~ spl535_179 ),
inference(avatar_split_clause,[],[f20936,f20801,f20725,f20710,f20885,f20943,f20877,f20873,f20842]) ).
fof(f20949,plain,
( l1_struct_0(sK46)
| ~ spl535_158 ),
inference(resolution,[],[f17423,f20662]) ).
fof(f20950,plain,
( l1_struct_0(sK47)
| ~ spl535_183 ),
inference(resolution,[],[f17423,f20854]) ).
fof(f20951,plain,
( spl535_184
| ~ spl535_183 ),
inference(avatar_split_clause,[],[f20950,f20852,f20873]) ).
fof(f20954,plain,
( spl535_185
| ~ spl535_158 ),
inference(avatar_split_clause,[],[f20949,f20660,f20877]) ).
fof(f20957,plain,
! [X0,X1] :
( m1_relset_1(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f17728,f19577]) ).
fof(f20959,plain,
( m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| ~ spl535_178 ),
inference(resolution,[],[f17728,f20785]) ).
fof(f20960,plain,
( spl535_187
| ~ spl535_178 ),
inference(avatar_split_clause,[],[f20959,f20783,f20885]) ).
fof(f20985,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(u1_struct_0(sK46),u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_166 ),
inference(superposition,[],[f16645,f20702]) ).
fof(f20989,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(u1_struct_0(sK46),u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20985,f20687]) ).
fof(f20992,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(u1_struct_0(sK46),u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20989,f20682]) ).
fof(f20994,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(u1_struct_0(sK46),u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20992,f20677]) ).
fof(f20996,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(u1_struct_0(sK46),u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20994,f20672]) ).
fof(f20997,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(u1_struct_0(sK46),u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ l1_pre_topc(sK46) )
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20996,f20667]) ).
fof(f20998,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(u1_struct_0(sK46),u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f20997,f20662]) ).
fof(f20999,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(sF534,u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20998,f20727]) ).
fof(f21000,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,k8_funct_2(sF534,u1_struct_0(sK47),sF529,X0)))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171 ),
inference(forward_demodulation,[],[f20999,f20727]) ).
fof(f21012,plain,
( m1_subset_1(sF532,k1_zfmisc_1(u1_struct_0(sK46)))
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_169 ),
inference(superposition,[],[f16643,f20717]) ).
fof(f21017,plain,
( m1_subset_1(sF532,k1_zfmisc_1(u1_struct_0(sK46)))
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| spl535_160
| ~ spl535_169 ),
inference(forward_subsumption_resolution,[],[f21012,f20672]) ).
fof(f21019,plain,
( m1_subset_1(sF532,k1_zfmisc_1(u1_struct_0(sK46)))
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_159
| spl535_160
| ~ spl535_169 ),
inference(forward_subsumption_resolution,[],[f21017,f20667]) ).
fof(f21021,plain,
( m1_subset_1(sF532,k1_zfmisc_1(u1_struct_0(sK46)))
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_169 ),
inference(forward_subsumption_resolution,[],[f21019,f20662]) ).
fof(f21022,plain,
( m1_subset_1(sF532,k1_zfmisc_1(sF534))
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_169
| ~ spl535_171 ),
inference(forward_demodulation,[],[f21021,f20727]) ).
fof(f21023,plain,
( ~ m1_subset_1(sK48,sF534)
| m1_subset_1(sF532,k1_zfmisc_1(sF534))
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_169
| ~ spl535_171 ),
inference(forward_demodulation,[],[f21022,f20727]) ).
fof(f21024,plain,
( m1_subset_1(sF532,k1_zfmisc_1(sF534))
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f21023,f20692]) ).
fof(f21026,definition,
( spl535_194
<=> m1_subset_1(sF532,k1_zfmisc_1(sF534)) ),
introduced(definition,[new_symbols(definition,[spl535_194])],[avatar_definition]) ).
fof(f21028,plain,
( m1_subset_1(sF532,k1_zfmisc_1(sF534))
| ~ spl535_194 ),
inference(avatar_component_clause,[],[f21026]) ).
fof(f21029,plain,
( spl535_194
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171 ),
inference(avatar_split_clause,[],[f21024,f20725,f20715,f20690,f20670,f20665,f20660,f21026]) ).
fof(f21041,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_189 ),
inference(superposition,[],[f19714,f20920]) ).
fof(f21044,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21041,f20687]) ).
fof(f21046,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21044,f20682]) ).
fof(f21048,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21046,f20677]) ).
fof(f21049,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21048,f20672]) ).
fof(f21050,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ l1_pre_topc(sK46) )
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21049,f20667]) ).
fof(f21051,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21050,f20662]) ).
fof(f21052,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_189 ),
inference(forward_demodulation,[],[f21051,f20727]) ).
fof(f21056,plain,
( v5_pre_topc(sF529,sK46,sK47)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_166 ),
inference(superposition,[],[f16651,f20702]) ).
fof(f21067,plain,
( v5_pre_topc(sF529,sK46,sK47)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21056,f20672]) ).
fof(f21068,plain,
( v5_pre_topc(sF529,sK46,sK47)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21067,f20667]) ).
fof(f21069,plain,
( v5_pre_topc(sF529,sK46,sK47)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21068,f20662]) ).
fof(f21070,plain,
( v5_pre_topc(sF529,sK46,sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21069,f20687]) ).
fof(f21071,plain,
( v5_pre_topc(sF529,sK46,sK47)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21070,f20682]) ).
fof(f21072,plain,
( v5_pre_topc(sF529,sK46,sK47)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177 ),
inference(forward_subsumption_resolution,[],[f21071,f20780]) ).
fof(f21073,plain,
( spl535_180
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177 ),
inference(avatar_split_clause,[],[f21072,f20779,f20700,f20685,f20680,f20670,f20665,f20660,f20838]) ).
fof(f21176,plain,
( sF534 = k2_pre_topc(sK46)
| ~ l1_struct_0(sK46)
| ~ spl535_171 ),
inference(superposition,[],[f20727,f17647]) ).
fof(f21223,plain,
( sF534 = k2_pre_topc(sK46)
| ~ spl535_171
| ~ spl535_185 ),
inference(forward_subsumption_resolution,[],[f21176,f20878]) ).
fof(f21241,definition,
( spl535_210
<=> sF534 = k2_pre_topc(sK46) ),
introduced(definition,[new_symbols(definition,[spl535_210])],[avatar_definition]) ).
fof(f21243,plain,
( sF534 = k2_pre_topc(sK46)
| ~ spl535_210 ),
inference(avatar_component_clause,[],[f21241]) ).
fof(f21244,plain,
( spl535_210
| ~ spl535_171
| ~ spl535_185 ),
inference(avatar_split_clause,[],[f21223,f20877,f20725,f21241]) ).
fof(f21265,plain,
( ! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF534))
| ~ m2_tsp_1(X0,sK46)
| v3_struct_0(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_171 ),
inference(superposition,[],[f16517,f20727]) ).
fof(f21268,plain,
( ! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF534))
| ~ m2_tsp_1(X0,sK46)
| ~ l1_pre_topc(sK46) )
| spl535_160
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f21265,f20672]) ).
fof(f21269,plain,
( ! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sF534))
| ~ m2_tsp_1(X0,sK46) )
| ~ spl535_158
| spl535_160
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f21268,f20662]) ).
fof(f21291,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f17895,f17896]) ).
fof(f21295,plain,
( v1_relat_1(sF529)
| ~ spl535_178 ),
inference(resolution,[],[f21291,f20785]) ).
fof(f21299,definition,
( spl535_211
<=> v1_relat_1(sF529) ),
introduced(definition,[new_symbols(definition,[spl535_211])],[avatar_definition]) ).
fof(f21301,plain,
( v1_relat_1(sF529)
| ~ spl535_211 ),
inference(avatar_component_clause,[],[f21299]) ).
fof(f21303,plain,
( spl535_211
| ~ spl535_178 ),
inference(avatar_split_clause,[],[f21295,f20783,f21299]) ).
fof(f21310,plain,
( ! [X0] :
( sF532 = k2_tex_4(sK46,X0)
| ~ r2_hidden(X0,k2_tex_4(sK46,sK48))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| v3_struct_0(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_176 ),
inference(superposition,[],[f20762,f17849]) ).
fof(f21317,plain,
( ! [X0] :
( sF532 = k2_tex_4(sK46,X0)
| ~ r2_hidden(X0,k2_tex_4(sK46,sK48))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ l1_pre_topc(sK46) )
| spl535_160
| ~ spl535_176 ),
inference(forward_subsumption_resolution,[],[f21310,f20672]) ).
fof(f21321,plain,
( ! [X0] :
( sF532 = k2_tex_4(sK46,X0)
| ~ r2_hidden(X0,k2_tex_4(sK46,sK48))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ m1_subset_1(sK48,u1_struct_0(sK46)) )
| ~ spl535_158
| spl535_160
| ~ spl535_176 ),
inference(forward_subsumption_resolution,[],[f21317,f20662]) ).
fof(f21325,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF532)
| sF532 = k2_tex_4(sK46,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ m1_subset_1(sK48,u1_struct_0(sK46)) )
| ~ spl535_158
| spl535_160
| ~ spl535_176 ),
inference(forward_demodulation,[],[f21321,f20762]) ).
fof(f21329,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF532)
| sF532 = k2_tex_4(sK46,X0)
| ~ m1_subset_1(sK48,u1_struct_0(sK46)) )
| ~ spl535_158
| spl535_160
| ~ spl535_171
| ~ spl535_176 ),
inference(forward_demodulation,[],[f21325,f20727]) ).
fof(f21333,plain,
( ! [X0] :
( ~ m1_subset_1(sK48,sF534)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF532)
| sF532 = k2_tex_4(sK46,X0) )
| ~ spl535_158
| spl535_160
| ~ spl535_171
| ~ spl535_176 ),
inference(forward_demodulation,[],[f21329,f20727]) ).
fof(f21336,plain,
( ! [X0] :
( sF532 = k2_tex_4(sK46,X0)
| ~ r2_hidden(X0,sF532)
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| spl535_160
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176 ),
inference(forward_subsumption_resolution,[],[f21333,f20692]) ).
fof(f21440,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_tex_4(X1,X2))
| m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(resolution,[],[f16711,f16643]) ).
fof(f21443,plain,
! [X0,X1] :
( ~ v3_borsuk_1(sK523(X0,X1),X0,X1)
| ~ v1_funct_1(sK523(X0,X1))
| k1_tsp_2(X0,X1) = sK523(X0,X1)
| ~ v5_pre_topc(sK523(X0,X1),X0,X1)
| ~ m2_relset_1(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f17889,f19579]) ).
fof(f21452,plain,
! [X0,X1] :
( ~ v3_borsuk_1(sK523(X0,X1),X0,X1)
| ~ v1_funct_1(sK523(X0,X1))
| k1_tsp_2(X0,X1) = sK523(X0,X1)
| ~ v5_pre_topc(sK523(X0,X1),X0,X1)
| ~ m2_relset_1(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f21443]) ).
fof(f21456,plain,
! [X0,X1] :
( ~ v3_borsuk_1(sK523(X0,X1),X0,X1)
| k1_tsp_2(X0,X1) = sK523(X0,X1)
| ~ v5_pre_topc(sK523(X0,X1),X0,X1)
| ~ m2_relset_1(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f21452,f19580]) ).
fof(f21458,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = sK523(X0,X1)
| ~ v5_pre_topc(sK523(X0,X1),X0,X1)
| ~ m2_relset_1(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f21456,f19576]) ).
fof(f21460,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = sK523(X0,X1)
| ~ m2_relset_1(sK523(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f21458,f19578]) ).
fof(f21461,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = sK523(X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f21460,f19577]) ).
fof(f21462,plain,
! [X0,X1] :
( v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f19576,f21461]) ).
fof(f21463,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f19577,f21461]) ).
fof(f21464,plain,
! [X0,X1] :
( v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f19578,f21461]) ).
fof(f21465,plain,
! [X0,X1] :
( v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f19579,f21461]) ).
fof(f21466,plain,
! [X0,X1] :
( v1_funct_1(k1_tsp_2(X0,X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f19580,f21461]) ).
fof(f21467,plain,
! [X0,X1] :
( m1_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f20957,f21461]) ).
fof(f21474,plain,
! [X0,X1] :
( m1_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f21467]) ).
fof(f21475,plain,
! [X0,X1] :
( v1_funct_1(k1_tsp_2(X0,X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f21466]) ).
fof(f21476,plain,
! [X0,X1] :
( v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f21465]) ).
fof(f21477,plain,
! [X0,X1] :
( v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f21464]) ).
fof(f21478,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f21463]) ).
fof(f21479,plain,
! [X0,X1] :
( v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f21462]) ).
fof(f21484,plain,
( v3_borsuk_1(sF529,sK46,sK47)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ spl535_189 ),
inference(superposition,[],[f21479,f20920]) ).
fof(f21485,plain,
( v3_borsuk_1(sF529,sK46,sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21484,f20687]) ).
fof(f21486,plain,
( v3_borsuk_1(sF529,sK46,sK47)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21485,f20682]) ).
fof(f21487,plain,
( v3_borsuk_1(sF529,sK46,sK47)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21486,f20677]) ).
fof(f21488,plain,
( v3_borsuk_1(sF529,sK46,sK47)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21487,f20672]) ).
fof(f21489,plain,
( v3_borsuk_1(sF529,sK46,sK47)
| ~ l1_pre_topc(sK46)
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21488,f20667]) ).
fof(f21490,plain,
( v3_borsuk_1(sF529,sK46,sK47)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21489,f20662]) ).
fof(f21492,definition,
( spl535_212
<=> v3_borsuk_1(sF529,sK46,sK47) ),
introduced(definition,[new_symbols(definition,[spl535_212])],[avatar_definition]) ).
fof(f21494,plain,
( v3_borsuk_1(sF529,sK46,sK47)
| ~ spl535_212 ),
inference(avatar_component_clause,[],[f21492]) ).
fof(f21495,plain,
( spl535_212
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189 ),
inference(avatar_split_clause,[],[f21490,f20918,f20685,f20680,f20675,f20670,f20665,f20660,f21492]) ).
fof(f21583,plain,
( r1_tarski(k1_struct_0(sK46,sK48),sF532)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| v3_struct_0(sK46)
| ~ l1_pre_topc(sK46)
| ~ spl535_176 ),
inference(superposition,[],[f17852,f20762]) ).
fof(f21590,plain,
( r1_tarski(k1_struct_0(sK46,sK48),sF532)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ l1_pre_topc(sK46)
| spl535_160
| ~ spl535_176 ),
inference(forward_subsumption_resolution,[],[f21583,f20672]) ).
fof(f21593,plain,
( r1_tarski(k1_struct_0(sK46,sK48),sF532)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_158
| spl535_160
| ~ spl535_176 ),
inference(forward_subsumption_resolution,[],[f21590,f20662]) ).
fof(f21597,plain,
( r1_tarski(sF530,sF532)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_158
| spl535_160
| ~ spl535_167
| ~ spl535_176 ),
inference(forward_demodulation,[],[f21593,f20707]) ).
fof(f21599,plain,
( ~ m1_subset_1(sK48,sF534)
| r1_tarski(sF530,sF532)
| ~ spl535_158
| spl535_160
| ~ spl535_167
| ~ spl535_171
| ~ spl535_176 ),
inference(forward_demodulation,[],[f21597,f20727]) ).
fof(f21601,plain,
( r1_tarski(sF530,sF532)
| ~ spl535_158
| spl535_160
| ~ spl535_164
| ~ spl535_167
| ~ spl535_171
| ~ spl535_176 ),
inference(forward_subsumption_resolution,[],[f21599,f20692]) ).
fof(f21604,definition,
( spl535_214
<=> r1_tarski(sF530,sF532) ),
introduced(definition,[new_symbols(definition,[spl535_214])],[avatar_definition]) ).
fof(f21606,plain,
( r1_tarski(sF530,sF532)
| ~ spl535_214 ),
inference(avatar_component_clause,[],[f21604]) ).
fof(f21607,plain,
( spl535_214
| ~ spl535_158
| spl535_160
| ~ spl535_164
| ~ spl535_167
| ~ spl535_171
| ~ spl535_176 ),
inference(avatar_split_clause,[],[f21601,f20760,f20725,f20705,f20690,f20670,f20660,f21604]) ).
fof(f21662,plain,
( v1_funct_1(sF529)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_166 ),
inference(superposition,[],[f16653,f20702]) ).
fof(f21674,plain,
( v1_funct_1(sF529)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21662,f20672]) ).
fof(f21676,plain,
( v1_funct_1(sF529)
| ~ l1_pre_topc(sK46)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21674,f20667]) ).
fof(f21678,plain,
( v1_funct_1(sF529)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21676,f20662]) ).
fof(f21680,plain,
( v1_funct_1(sF529)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21678,f20687]) ).
fof(f21682,plain,
( v1_funct_1(sF529)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f21680,f20682]) ).
fof(f21684,plain,
( v1_funct_1(sF529)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177 ),
inference(forward_subsumption_resolution,[],[f21682,f20780]) ).
fof(f21690,plain,
( spl535_181
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177 ),
inference(avatar_split_clause,[],[f21684,f20779,f20700,f20685,f20680,f20670,f20665,f20660,f20842]) ).
fof(f21703,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF529,X0),sF533)
| ~ r1_tarski(X0,sF532)
| ~ v1_relat_1(sF529) )
| ~ spl535_186 ),
inference(superposition,[],[f17695,f20883]) ).
fof(f21706,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF529,X0),sF533)
| ~ r1_tarski(X0,sF532) )
| ~ spl535_186
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f21703,f21301]) ).
fof(f21724,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK47))
| ~ r2_hidden(X0,sF531) )
| ~ spl535_192 ),
inference(resolution,[],[f20945,f16711]) ).
fof(f21732,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK47))
| ~ r2_hidden(X0,sF533) )
| ~ spl535_191 ),
inference(resolution,[],[f20940,f16711]) ).
fof(f21800,definition,
( spl535_230
<=> r1_tarski(sF533,sF531) ),
introduced(definition,[new_symbols(definition,[spl535_230])],[avatar_definition]) ).
fof(f21801,plain,
( ~ r1_tarski(sF533,sF531)
| spl535_230 ),
inference(avatar_component_clause,[],[f21800]) ).
fof(f21817,plain,
( r1_tarski(sF531,sF533)
| ~ r1_tarski(sF530,sF532)
| ~ spl535_186
| ~ spl535_188
| ~ spl535_211 ),
inference(superposition,[],[f21706,f20892]) ).
fof(f21818,plain,
( r1_tarski(sF531,sF533)
| ~ spl535_186
| ~ spl535_188
| ~ spl535_211
| ~ spl535_214 ),
inference(forward_subsumption_resolution,[],[f21817,f21606]) ).
fof(f21829,definition,
( spl535_233
<=> r1_tarski(sF531,sF533) ),
introduced(definition,[new_symbols(definition,[spl535_233])],[avatar_definition]) ).
fof(f21831,plain,
( r1_tarski(sF531,sF533)
| ~ spl535_233 ),
inference(avatar_component_clause,[],[f21829]) ).
fof(f21832,plain,
( spl535_233
| ~ spl535_186
| ~ spl535_188
| ~ spl535_211
| ~ spl535_214 ),
inference(avatar_split_clause,[],[f21818,f21604,f21299,f20890,f20881,f21829]) ).
fof(f21833,plain,
( ~ r1_tarski(sF533,sF531)
| sF531 = sF533
| ~ spl535_233 ),
inference(resolution,[],[f21831,f17062]) ).
fof(f21834,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF531)
| r2_hidden(X0,sF533) )
| ~ spl535_233 ),
inference(resolution,[],[f21831,f17064]) ).
fof(f21835,plain,
( ~ r1_tarski(sF533,sF531)
| spl535_165
| ~ spl535_233 ),
inference(forward_subsumption_resolution,[],[f21833,f20697]) ).
fof(f21836,plain,
( ~ spl535_230
| spl535_165
| ~ spl535_233 ),
inference(avatar_split_clause,[],[f21835,f21829,f20695,f21800]) ).
fof(f21956,plain,
( sF530 = k1_tarski(sK48)
| v3_struct_0(sK46)
| ~ l1_struct_0(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| ~ spl535_167 ),
inference(superposition,[],[f20707,f16608]) ).
fof(f21964,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ l1_struct_0(sK47)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_189 ),
inference(superposition,[],[f21052,f16608]) ).
fof(f21965,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ l1_struct_0(sK47) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_189 ),
inference(duplicate_literal_removal,[],[f21964]) ).
fof(f21972,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ l1_struct_0(sK47) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21965,f20687]) ).
fof(f21977,plain,
( sF530 = k1_tarski(sK48)
| ~ l1_struct_0(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| spl535_160
| ~ spl535_167 ),
inference(forward_subsumption_resolution,[],[f21956,f20672]) ).
fof(f21979,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_184
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f21972,f20874]) ).
fof(f21981,plain,
( sF530 = k1_tarski(sK48)
| ~ m1_subset_1(sK48,u1_struct_0(sK46))
| spl535_160
| ~ spl535_167
| ~ spl535_185 ),
inference(forward_subsumption_resolution,[],[f21977,f20878]) ).
fof(f21983,plain,
( ~ m1_subset_1(sK48,sF534)
| sF530 = k1_tarski(sK48)
| spl535_160
| ~ spl535_167
| ~ spl535_171
| ~ spl535_185 ),
inference(forward_demodulation,[],[f21981,f20727]) ).
fof(f21985,plain,
( sF530 = k1_tarski(sK48)
| spl535_160
| ~ spl535_164
| ~ spl535_167
| ~ spl535_171
| ~ spl535_185 ),
inference(forward_subsumption_resolution,[],[f21983,f20692]) ).
fof(f21988,definition,
( spl535_239
<=> sF530 = k1_tarski(sK48) ),
introduced(definition,[new_symbols(definition,[spl535_239])],[avatar_definition]) ).
fof(f21990,plain,
( sF530 = k1_tarski(sK48)
| ~ spl535_239 ),
inference(avatar_component_clause,[],[f21988]) ).
fof(f21991,plain,
( spl535_239
| spl535_160
| ~ spl535_164
| ~ spl535_167
| ~ spl535_171
| ~ spl535_185 ),
inference(avatar_split_clause,[],[f21985,f20877,f20725,f20705,f20690,f20670,f21988]) ).
fof(f22281,plain,
( ! [X0] :
( r2_hidden(k1_funct_1(sF529,X0),sF531)
| ~ r2_hidden(X0,k1_relat_1(sF529))
| ~ r2_hidden(X0,sF530)
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529) )
| ~ spl535_188 ),
inference(superposition,[],[f19701,f20892]) ).
fof(f22282,plain,
( ! [X0] :
( r2_hidden(k1_funct_1(sF529,X0),sF531)
| ~ r2_hidden(X0,k1_relat_1(sF529))
| ~ r2_hidden(X0,sF530)
| ~ v1_funct_1(sF529) )
| ~ spl535_188
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f22281,f21301]) ).
fof(f22284,plain,
( ! [X0] :
( r2_hidden(k1_funct_1(sF529,X0),sF531)
| ~ r2_hidden(X0,k1_relat_1(sF529))
| ~ r2_hidden(X0,sF530) )
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f22282,f20843]) ).
fof(f22428,definition,
( spl535_258
<=> r2_hidden(sK48,sF534) ),
introduced(definition,[new_symbols(definition,[spl535_258])],[avatar_definition]) ).
fof(f22430,plain,
( r2_hidden(sK48,sF534)
| ~ spl535_258 ),
inference(avatar_component_clause,[],[f22428]) ).
fof(f22923,plain,
( r1_tarski(sF531,k2_relat_1(sF529))
| ~ v1_relat_1(sF529)
| ~ spl535_188 ),
inference(superposition,[],[f17708,f20892]) ).
fof(f22925,plain,
( r1_tarski(sF531,k2_relat_1(sF529))
| ~ spl535_188
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f22923,f21301]) ).
fof(f22928,definition,
( spl535_273
<=> r1_tarski(sF531,k2_relat_1(sF529)) ),
introduced(definition,[new_symbols(definition,[spl535_273])],[avatar_definition]) ).
fof(f22930,plain,
( r1_tarski(sF531,k2_relat_1(sF529))
| ~ spl535_273 ),
inference(avatar_component_clause,[],[f22928]) ).
fof(f22931,plain,
( spl535_273
| ~ spl535_188
| ~ spl535_211 ),
inference(avatar_split_clause,[],[f22925,f21299,f20890,f22928]) ).
fof(f22950,plain,
! [X2,X0,X1] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2),k4_tex_4(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f20904,f21476]) ).
fof(f22951,plain,
! [X2,X0,X1] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2),k4_tex_4(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f22950,f21477]) ).
fof(f22952,plain,
! [X2,X0,X1] :
( r2_hidden(k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2),k4_tex_4(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f22951,f21478]) ).
fof(f23018,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF532)
| m1_subset_1(X0,u1_struct_0(sK46))
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46)) )
| ~ spl535_169 ),
inference(superposition,[],[f21440,f20717]) ).
fof(f23026,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF532)
| m1_subset_1(X0,u1_struct_0(sK46))
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46)) )
| spl535_160
| ~ spl535_169 ),
inference(forward_subsumption_resolution,[],[f23018,f20672]) ).
fof(f23030,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF532)
| m1_subset_1(X0,u1_struct_0(sK46))
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(sK48,u1_struct_0(sK46)) )
| ~ spl535_159
| spl535_160
| ~ spl535_169 ),
inference(forward_subsumption_resolution,[],[f23026,f20667]) ).
fof(f23034,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF532)
| m1_subset_1(X0,u1_struct_0(sK46))
| ~ m1_subset_1(sK48,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_169 ),
inference(forward_subsumption_resolution,[],[f23030,f20662]) ).
fof(f23038,plain,
( ! [X0] :
( m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF532)
| ~ m1_subset_1(sK48,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_169
| ~ spl535_171 ),
inference(forward_demodulation,[],[f23034,f20727]) ).
fof(f23043,plain,
( ! [X0] :
( ~ m1_subset_1(sK48,sF534)
| m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF532) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_169
| ~ spl535_171 ),
inference(forward_demodulation,[],[f23038,f20727]) ).
fof(f23048,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF532)
| m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f23043,f20692]) ).
fof(f23140,definition,
( spl535_285
<=> ! [X0] :
( ~ r2_hidden(X0,sF533)
| r2_hidden(X0,sF531) ) ),
introduced(definition,[new_symbols(definition,[spl535_285])],[avatar_definition]) ).
fof(f23141,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF533)
| r2_hidden(X0,sF531) )
| ~ spl535_285 ),
inference(avatar_component_clause,[],[f23140]) ).
fof(f23530,definition,
( spl535_298
<=> v1_xboole_0(sF531) ),
introduced(definition,[new_symbols(definition,[spl535_298])],[avatar_definition]) ).
fof(f23543,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF534)
| r2_hidden(X0,k2_pre_topc(sK46))
| v3_struct_0(sK46)
| ~ l1_struct_0(sK46) )
| ~ spl535_171 ),
inference(superposition,[],[f17646,f20727]) ).
fof(f23546,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF534)
| r2_hidden(X0,k2_pre_topc(sK46))
| ~ l1_struct_0(sK46) )
| spl535_160
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f23543,f20672]) ).
fof(f23549,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF534)
| r2_hidden(X0,k2_pre_topc(sK46)) )
| spl535_160
| ~ spl535_171
| ~ spl535_185 ),
inference(forward_subsumption_resolution,[],[f23546,f20878]) ).
fof(f23552,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF534)
| r2_hidden(X0,sF534) )
| spl535_160
| ~ spl535_171
| ~ spl535_185
| ~ spl535_210 ),
inference(forward_demodulation,[],[f23549,f21243]) ).
fof(f23555,plain,
( r2_hidden(sK48,sF534)
| spl535_160
| ~ spl535_164
| ~ spl535_171
| ~ spl535_185
| ~ spl535_210 ),
inference(resolution,[],[f23552,f20692]) ).
fof(f23556,plain,
( spl535_258
| spl535_160
| ~ spl535_164
| ~ spl535_171
| ~ spl535_185
| ~ spl535_210 ),
inference(avatar_split_clause,[],[f23555,f21241,f20877,f20725,f20690,f20670,f22428]) ).
fof(f24902,plain,
( r2_hidden(sK48,sF530)
| ~ spl535_239 ),
inference(superposition,[],[f19665,f21990]) ).
fof(f24904,definition,
( spl535_357
<=> r2_hidden(sK48,sF530) ),
introduced(definition,[new_symbols(definition,[spl535_357])],[avatar_definition]) ).
fof(f24906,plain,
( r2_hidden(sK48,sF530)
| ~ spl535_357 ),
inference(avatar_component_clause,[],[f24904]) ).
fof(f24907,plain,
( spl535_357
| ~ spl535_239 ),
inference(avatar_split_clause,[],[f24902,f21988,f24904]) ).
fof(f25126,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_struct_0(sK47,X0))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_189 ),
inference(superposition,[],[f17879,f21052]) ).
fof(f25140,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_184
| ~ spl535_189 ),
inference(superposition,[],[f21979,f17879]) ).
fof(f25145,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X2) = k10_relat_1(k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(k3_tsp_2(X0,X1))
| ~ v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(superposition,[],[f16645,f17879]) ).
fof(f25177,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X2) = k10_relat_1(k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(k3_tsp_2(X0,X1))
| ~ v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f25145,f17423]) ).
fof(f25182,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25140,f20878]) ).
fof(f25196,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_struct_0(sK47,X0))
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25126,f20878]) ).
fof(f25214,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25182,f20874]) ).
fof(f25226,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_struct_0(sK47,X0))
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25196,f20874]) ).
fof(f25243,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25214,f20843]) ).
fof(f25255,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_struct_0(sK47,X0))
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25226,f20843]) ).
fof(f25269,plain,
( ! [X0] :
( ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_demodulation,[],[f25243,f20727]) ).
fof(f25279,plain,
( ! [X0] :
( ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_struct_0(sK47,X0))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_demodulation,[],[f25255,f20727]) ).
fof(f25289,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25269,f20803]) ).
fof(f25296,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_struct_0(sK47,X0))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25279,f20803]) ).
fof(f25302,plain,
( ! [X0] :
( ~ m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_demodulation,[],[f25289,f20727]) ).
fof(f25306,plain,
( ! [X0] :
( ~ m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_189 ),
inference(forward_demodulation,[],[f25296,f20727]) ).
fof(f25312,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_tarski(X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25302,f20886]) ).
fof(f25316,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_189 ),
inference(forward_subsumption_resolution,[],[f25306,f20886]) ).
fof(f25320,plain,
( ! [X0,X1] :
( ~ r1_tarski(X1,k4_tex_4(sK46,X0))
| r1_tarski(k9_relat_1(sF529,X1),k1_struct_0(sK47,X0))
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529)
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_189 ),
inference(superposition,[],[f19502,f25316]) ).
fof(f25322,plain,
( ! [X0,X1] :
( ~ r1_tarski(X1,k4_tex_4(sK46,X0))
| r1_tarski(k9_relat_1(sF529,X1),k1_struct_0(sK47,X0))
| ~ v1_funct_1(sF529)
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f25320,f21301]) ).
fof(f25325,plain,
( ! [X0,X1] :
( r1_tarski(k9_relat_1(sF529,X1),k1_struct_0(sK47,X0))
| ~ r1_tarski(X1,k4_tex_4(sK46,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f25322,f20843]) ).
fof(f26432,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF531)
| k1_funct_1(sF529,X1) = X0
| ~ v1_realset1(sF531)
| ~ r2_hidden(X1,k1_relat_1(sF529))
| ~ r2_hidden(X1,sF530) )
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211 ),
inference(resolution,[],[f18282,f22284]) ).
fof(f26532,definition,
( spl535_387
<=> v1_realset1(sF531) ),
introduced(definition,[new_symbols(definition,[spl535_387])],[avatar_definition]) ).
fof(f26534,plain,
( ~ v1_realset1(sF531)
| spl535_387 ),
inference(avatar_component_clause,[],[f26532]) ).
fof(f26536,definition,
( spl535_388
<=> ! [X0,X1] :
( ~ r2_hidden(X0,sF531)
| ~ r2_hidden(X1,sF530)
| ~ r2_hidden(X1,k1_relat_1(sF529))
| k1_funct_1(sF529,X1) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl535_388])],[avatar_definition]) ).
fof(f26537,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF531)
| ~ r2_hidden(X1,sF530)
| ~ r2_hidden(X1,k1_relat_1(sF529))
| k1_funct_1(sF529,X1) = X0 )
| ~ spl535_388 ),
inference(avatar_component_clause,[],[f26536]) ).
fof(f26538,plain,
( ~ spl535_387
| spl535_388
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211 ),
inference(avatar_split_clause,[],[f26432,f21299,f20890,f20842,f26536,f26532]) ).
fof(f27449,plain,
( ! [X0] :
( r2_hidden(sK141(sF533,X0),sF531)
| r1_tarski(sF533,X0) )
| ~ spl535_285 ),
inference(resolution,[],[f23141,f17065]) ).
fof(f27455,plain,
( r1_tarski(sF533,sF531)
| r1_tarski(sF533,sF531)
| ~ spl535_285 ),
inference(resolution,[],[f27449,f17066]) ).
fof(f27461,plain,
( r1_tarski(sF533,sF531)
| ~ spl535_285 ),
inference(duplicate_literal_removal,[],[f27455]) ).
fof(f27466,plain,
( $false
| spl535_230
| ~ spl535_285 ),
inference(forward_subsumption_resolution,[],[f27461,f21801]) ).
fof(f27467,plain,
( spl535_230
| ~ spl535_285 ),
inference(avatar_contradiction_clause,[],[f27466]) ).
fof(f28439,definition,
( spl535_452
<=> ! [X1] :
( r2_hidden(k1_funct_1(sF529,X1),sF532)
| ~ r2_hidden(X1,sF532) ) ),
introduced(definition,[new_symbols(definition,[spl535_452])],[avatar_definition]) ).
fof(f28440,plain,
( ! [X1] :
( r2_hidden(k1_funct_1(sF529,X1),sF532)
| ~ r2_hidden(X1,sF532) )
| ~ spl535_452 ),
inference(avatar_component_clause,[],[f28439]) ).
fof(f28893,plain,
( ! [X0] :
( ~ r1_tarski(sF532,k4_tex_4(sK46,X0))
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(superposition,[],[f25325,f20883]) ).
fof(f28930,plain,
( ! [X0] :
( ~ r1_tarski(sF532,k2_tex_4(sK46,X0))
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(superposition,[],[f28893,f16642]) ).
fof(f28936,plain,
( ! [X0] :
( ~ r1_tarski(sF532,k2_tex_4(sK46,X0))
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f28930,f20672]) ).
fof(f28937,plain,
( ! [X0] :
( ~ r1_tarski(sF532,k2_tex_4(sK46,X0))
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f28936,f20667]) ).
fof(f28938,plain,
( ! [X0] :
( ~ r1_tarski(sF532,k2_tex_4(sK46,X0))
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f28937,f20662]) ).
fof(f28939,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF534)
| ~ r1_tarski(sF532,k2_tex_4(sK46,X0))
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_demodulation,[],[f28938,f20727]) ).
fof(f28940,plain,
( ! [X0] :
( ~ r1_tarski(sF532,k2_tex_4(sK46,X0))
| ~ m1_subset_1(X0,sF534)
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(duplicate_literal_removal,[],[f28939]) ).
fof(f29296,plain,
! [X2,X0,X1,X4] :
( k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k4_tex_4(X0,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f19850,f16517]) ).
fof(f29298,plain,
( ! [X2,X0,X1] :
( k1_struct_0(X0,k8_funct_2(sF534,u1_struct_0(X0),X1,X2)) = k5_subset_1(sF534,u1_struct_0(X0),k4_tex_4(sK46,X2))
| ~ m1_subset_1(X2,sF534)
| ~ v3_borsuk_1(X1,sK46,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF534,u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK46,X0)
| ~ m2_relset_1(X1,sF534,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK46)
| ~ m2_tsp_1(X0,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_171 ),
inference(superposition,[],[f29296,f20727]) ).
fof(f29311,plain,
! [X2,X3,X0,X1] :
( k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)) = k1_struct_0(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X3,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_borsuk_1(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(X3,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[],[f29296,f17746]) ).
fof(f29398,plain,
! [X2,X3,X0,X1] :
( k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)) = k1_struct_0(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X3,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_borsuk_1(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(X3,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[],[f29311,f16517]) ).
fof(f29401,plain,
( ! [X2,X0,X1] :
( k1_struct_0(X0,k8_funct_2(sF534,u1_struct_0(X0),X1,X2)) = k5_subset_1(sF534,u1_struct_0(X0),k4_tex_4(sK46,X2))
| ~ m1_subset_1(X2,sF534)
| ~ v3_borsuk_1(X1,sK46,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF534,u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK46,X0)
| ~ m2_relset_1(X1,sF534,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK46)
| ~ m2_tsp_1(X0,sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46) )
| spl535_160
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f29298,f20672]) ).
fof(f29404,plain,
! [X2,X3,X0,X1] :
( k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)) = k1_struct_0(X0,k8_funct_2(u1_struct_0(X1),u1_struct_0(X0),X3,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_borsuk_1(X3,X1,X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(X3,X1,X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(forward_subsumption_resolution,[],[f29398,f16643]) ).
fof(f29405,plain,
( ! [X2,X0,X1] :
( k1_struct_0(X0,k8_funct_2(sF534,u1_struct_0(X0),X1,X2)) = k5_subset_1(sF534,u1_struct_0(X0),k4_tex_4(sK46,X2))
| ~ m1_subset_1(X2,sF534)
| ~ v3_borsuk_1(X1,sK46,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF534,u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK46,X0)
| ~ m2_relset_1(X1,sF534,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK46)
| ~ m2_tsp_1(X0,sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_159
| spl535_160
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f29401,f20667]) ).
fof(f29406,plain,
( ! [X2,X0,X1] :
( k1_struct_0(X0,k8_funct_2(sF534,u1_struct_0(X0),X1,X2)) = k5_subset_1(sF534,u1_struct_0(X0),k4_tex_4(sK46,X2))
| ~ m1_subset_1(X2,sF534)
| ~ v3_borsuk_1(X1,sK46,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF534,u1_struct_0(X0))
| ~ v5_pre_topc(X1,sK46,X0)
| ~ m2_relset_1(X1,sF534,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK46)
| ~ m2_tsp_1(X0,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_171 ),
inference(forward_subsumption_resolution,[],[f29405,f20662]) ).
fof(f29440,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,sF534)
| ~ v3_borsuk_1(sF529,sK46,sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| ~ v5_pre_topc(sF529,sK46,sK47)
| ~ m2_relset_1(sF529,sF534,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171 ),
inference(superposition,[],[f21000,f29406]) ).
fof(f29447,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ v3_borsuk_1(sF529,sK46,sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| ~ v5_pre_topc(sF529,sK46,sK47)
| ~ m2_relset_1(sF529,sF534,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171 ),
inference(duplicate_literal_removal,[],[f29440]) ).
fof(f29479,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| ~ v5_pre_topc(sF529,sK46,sK47)
| ~ m2_relset_1(sF529,sF534,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29447,f21494]) ).
fof(f29489,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| ~ v5_pre_topc(sF529,sK46,sK47)
| ~ m2_relset_1(sF529,sF534,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_181
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29479,f20843]) ).
fof(f29499,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ v5_pre_topc(sF529,sK46,sK47)
| ~ m2_relset_1(sF529,sF534,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29489,f20803]) ).
fof(f29503,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ m2_relset_1(sF529,sF534,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29499,f20839]) ).
fof(f29507,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29503,f20785]) ).
fof(f29511,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29507,f20687]) ).
fof(f29515,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ m2_tsp_1(sK47,sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29511,f20682]) ).
fof(f29519,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k5_pre_topc(sK46,sK47,sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29515,f20677]) ).
fof(f29534,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ l1_struct_0(sK46)
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_212 ),
inference(superposition,[],[f17879,f29519]) ).
fof(f29538,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ l1_struct_0(sK47)
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_185
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29534,f20878]) ).
fof(f29545,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ v1_funct_1(sF529)
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29538,f20874]) ).
fof(f29548,definition,
( spl535_493
<=> m1_subset_1(u1_struct_0(sK47),k1_zfmisc_1(sF534)) ),
introduced(definition,[new_symbols(definition,[spl535_493])],[avatar_definition]) ).
fof(f29549,plain,
( m1_subset_1(u1_struct_0(sK47),k1_zfmisc_1(sF534))
| ~ spl535_493 ),
inference(avatar_component_clause,[],[f29548]) ).
fof(f29550,plain,
( ~ m1_subset_1(u1_struct_0(sK47),k1_zfmisc_1(sF534))
| spl535_493 ),
inference(avatar_component_clause,[],[f29548]) ).
fof(f29569,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ v1_funct_2(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29545,f20843]) ).
fof(f29572,plain,
( ! [X0] :
( ~ v1_funct_2(sF529,sF534,u1_struct_0(sK47))
| k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_212 ),
inference(forward_demodulation,[],[f29569,f20727]) ).
fof(f29576,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_relset_1(sF529,u1_struct_0(sK46),u1_struct_0(sK47))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29572,f20803]) ).
fof(f29578,plain,
( ! [X0] :
( ~ m1_relset_1(sF529,sF534,u1_struct_0(sK47))
| k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_212 ),
inference(forward_demodulation,[],[f29576,f20727]) ).
fof(f29580,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,u1_struct_0(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29578,f20886]) ).
fof(f29582,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,k2_pre_topc(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534)
| ~ l1_struct_0(sK47) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_212 ),
inference(superposition,[],[f29580,f17647]) ).
fof(f29609,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,k5_subset_1(sF534,k2_pre_topc(sK47),k4_tex_4(sK46,X0)))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29582,f20874]) ).
fof(f29659,definition,
( spl535_503
<=> sF532 = k10_relat_1(sF529,k5_subset_1(sF534,k2_pre_topc(sK47),sF532)) ),
introduced(definition,[new_symbols(definition,[spl535_503])],[avatar_definition]) ).
fof(f29661,plain,
( sF532 = k10_relat_1(sF529,k5_subset_1(sF534,k2_pre_topc(sK47),sF532))
| ~ spl535_503 ),
inference(avatar_component_clause,[],[f29659]) ).
fof(f29782,definition,
( spl535_518
<=> m1_subset_1(k2_pre_topc(sK47),k1_zfmisc_1(sF534)) ),
introduced(definition,[new_symbols(definition,[spl535_518])],[avatar_definition]) ).
fof(f29783,plain,
( m1_subset_1(k2_pre_topc(sK47),k1_zfmisc_1(sF534))
| ~ spl535_518 ),
inference(avatar_component_clause,[],[f29782]) ).
fof(f29812,plain,
( ~ m2_tsp_1(sK47,sK46)
| ~ spl535_158
| spl535_160
| ~ spl535_171
| spl535_493 ),
inference(resolution,[],[f29550,f21269]) ).
fof(f29820,plain,
( $false
| ~ spl535_158
| spl535_160
| ~ spl535_161
| ~ spl535_171
| spl535_493 ),
inference(forward_subsumption_resolution,[],[f29812,f20677]) ).
fof(f29821,plain,
( ~ spl535_158
| spl535_160
| ~ spl535_161
| ~ spl535_171
| spl535_493 ),
inference(avatar_contradiction_clause,[],[f29820]) ).
fof(f29828,plain,
( m1_subset_1(k2_pre_topc(sK47),k1_zfmisc_1(sF534))
| ~ l1_struct_0(sK47)
| ~ spl535_493 ),
inference(superposition,[],[f29549,f17647]) ).
fof(f29856,plain,
( m1_subset_1(k2_pre_topc(sK47),k1_zfmisc_1(sF534))
| ~ spl535_184
| ~ spl535_493 ),
inference(forward_subsumption_resolution,[],[f29828,f20874]) ).
fof(f29857,plain,
( spl535_518
| ~ spl535_184
| ~ spl535_493 ),
inference(avatar_split_clause,[],[f29856,f29548,f20873,f29782]) ).
fof(f29934,definition,
( spl535_541
<=> sF532 = k10_relat_1(sF529,k3_xboole_0(sF532,k2_pre_topc(sK47))) ),
introduced(definition,[new_symbols(definition,[spl535_541])],[avatar_definition]) ).
fof(f29936,plain,
( sF532 = k10_relat_1(sF529,k3_xboole_0(sF532,k2_pre_topc(sK47)))
| ~ spl535_541 ),
inference(avatar_component_clause,[],[f29934]) ).
fof(f29949,plain,
( sF532 = k10_relat_1(sF529,k5_subset_1(sF534,k2_pre_topc(sK47),sF532))
| ~ m1_subset_1(sK48,sF534)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_169
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_212 ),
inference(superposition,[],[f29609,f20717]) ).
fof(f29973,plain,
( sF532 = k10_relat_1(sF529,k5_subset_1(sF534,k2_pre_topc(sK47),sF532))
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_166
| ~ spl535_169
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_212 ),
inference(forward_subsumption_resolution,[],[f29949,f20692]) ).
fof(f29979,plain,
( spl535_503
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_166
| ~ spl535_169
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_212 ),
inference(avatar_split_clause,[],[f29973,f21492,f20885,f20877,f20873,f20842,f20838,f20801,f20783,f20725,f20715,f20700,f20690,f20685,f20680,f20675,f20670,f20665,f20660,f29659]) ).
fof(f29984,plain,
( sF532 = k10_relat_1(sF529,k3_xboole_0(k2_pre_topc(sK47),sF532))
| ~ m1_subset_1(k2_pre_topc(sK47),k1_zfmisc_1(sF534))
| ~ m1_subset_1(sF532,k1_zfmisc_1(sF534))
| ~ spl535_503 ),
inference(superposition,[],[f29661,f17746]) ).
fof(f29994,plain,
( sF532 = k10_relat_1(sF529,k3_xboole_0(k2_pre_topc(sK47),sF532))
| ~ m1_subset_1(sF532,k1_zfmisc_1(sF534))
| ~ spl535_503
| ~ spl535_518 ),
inference(forward_subsumption_resolution,[],[f29984,f29783]) ).
fof(f29997,plain,
( sF532 = k10_relat_1(sF529,k3_xboole_0(k2_pre_topc(sK47),sF532))
| ~ spl535_194
| ~ spl535_503
| ~ spl535_518 ),
inference(forward_subsumption_resolution,[],[f29994,f21028]) ).
fof(f29999,plain,
( sF532 = k10_relat_1(sF529,k3_xboole_0(sF532,k2_pre_topc(sK47)))
| ~ spl535_194
| ~ spl535_503
| ~ spl535_518 ),
inference(forward_demodulation,[],[f29997,f16704]) ).
fof(f30009,plain,
( spl535_541
| ~ spl535_194
| ~ spl535_503
| ~ spl535_518 ),
inference(avatar_split_clause,[],[f29999,f29782,f29659,f21026,f29934]) ).
fof(f30242,plain,
( ! [X0] :
( k9_relat_1(X0,sF530) = k1_tarski(k1_funct_1(X0,sK48))
| ~ r2_hidden(sK48,k1_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) )
| ~ spl535_239 ),
inference(superposition,[],[f17681,f21990]) ).
fof(f30340,plain,
! [X0,X1] :
( ~ v1_funct_1(k3_tsp_2(X0,X1))
| k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(X0,X1))
| ~ m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(resolution,[],[f17610,f16652]) ).
fof(f30351,plain,
! [X0,X1] :
( ~ v1_funct_1(k3_tsp_2(X0,X1))
| k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(X0,X1))
| ~ m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(duplicate_literal_removal,[],[f30340]) ).
fof(f30357,plain,
! [X0,X1] :
( k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(X0,X1))
| ~ m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f30351,f16653]) ).
fof(f30363,plain,
! [X0,X1] :
( k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(X0,X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f30357,f16650]) ).
fof(f30366,plain,
! [X0,X1] :
( k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(X0,X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f30363,f17423]) ).
fof(f30368,plain,
( k2_pre_topc(sK46) = k1_relat_1(sF529)
| v3_struct_0(sK47)
| ~ l1_struct_0(sK47)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_166 ),
inference(superposition,[],[f30366,f20702]) ).
fof(f30381,plain,
( k2_pre_topc(sK46) = k1_relat_1(sF529)
| ~ l1_struct_0(sK47)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| spl535_163
| ~ spl535_166 ),
inference(forward_subsumption_resolution,[],[f30368,f20687]) ).
fof(f30382,plain,
( k2_pre_topc(sK46) = k1_relat_1(sF529)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| spl535_163
| ~ spl535_166
| ~ spl535_184 ),
inference(forward_subsumption_resolution,[],[f30381,f20874]) ).
fof(f30383,plain,
( k2_pre_topc(sK46) = k1_relat_1(sF529)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| spl535_160
| spl535_163
| ~ spl535_166
| ~ spl535_184 ),
inference(forward_subsumption_resolution,[],[f30382,f20672]) ).
fof(f30384,plain,
( k2_pre_topc(sK46) = k1_relat_1(sF529)
| ~ l1_pre_topc(sK46)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_159
| spl535_160
| spl535_163
| ~ spl535_166
| ~ spl535_184 ),
inference(forward_subsumption_resolution,[],[f30383,f20667]) ).
fof(f30385,plain,
( k2_pre_topc(sK46) = k1_relat_1(sF529)
| ~ v2_tsp_2(sK47,sK46)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| spl535_163
| ~ spl535_166
| ~ spl535_184 ),
inference(forward_subsumption_resolution,[],[f30384,f20662]) ).
fof(f30386,plain,
( k2_pre_topc(sK46) = k1_relat_1(sF529)
| ~ m1_pre_topc(sK47,sK46)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_184 ),
inference(forward_subsumption_resolution,[],[f30385,f20682]) ).
fof(f30387,plain,
( k2_pre_topc(sK46) = k1_relat_1(sF529)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177
| ~ spl535_184 ),
inference(forward_subsumption_resolution,[],[f30386,f20780]) ).
fof(f30388,plain,
( sF534 = k1_relat_1(sF529)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177
| ~ spl535_184
| ~ spl535_210 ),
inference(forward_demodulation,[],[f30387,f21243]) ).
fof(f30390,definition,
( spl535_554
<=> sF534 = k1_relat_1(sF529) ),
introduced(definition,[new_symbols(definition,[spl535_554])],[avatar_definition]) ).
fof(f30392,plain,
( sF534 = k1_relat_1(sF529)
| ~ spl535_554 ),
inference(avatar_component_clause,[],[f30390]) ).
fof(f30393,plain,
( spl535_554
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177
| ~ spl535_184
| ~ spl535_210 ),
inference(avatar_split_clause,[],[f30388,f21241,f20873,f20779,f20700,f20685,f20680,f20670,f20665,f20660,f30390]) ).
fof(f30964,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK76(X0,X1,k1_tsp_2(X0,X1)),u1_struct_0(X0))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f16648,f22952]) ).
fof(f30981,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK76(X0,X1,k1_tsp_2(X0,X1)),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f30964]) ).
fof(f30992,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f30981,f16647]) ).
fof(f30996,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f30992,f21475]) ).
fof(f31000,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f30996,f21476]) ).
fof(f31003,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f31000,f21477]) ).
fof(f31006,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = k3_tsp_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f31003,f21478]) ).
fof(f31034,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X2) = k10_relat_1(k1_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f25177,f31006]) ).
fof(f31041,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X2) = k10_relat_1(k1_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(duplicate_literal_removal,[],[f31034]) ).
fof(f31065,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X2) = k10_relat_1(k1_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f31041,f21475]) ).
fof(f31075,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X2) = k10_relat_1(k1_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X1)
| ~ m1_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f31065,f21476]) ).
fof(f31082,plain,
! [X2,X0,X1] :
( k4_tex_4(X0,X2) = k10_relat_1(k1_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k1_tsp_2(X0,X1),X2)))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X1) ),
inference(forward_subsumption_resolution,[],[f31075,f21474]) ).
fof(f31325,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,k4_tex_4(X0,X1))
| r2_hidden(k1_funct_1(k1_tsp_2(X0,X3),X2),k1_struct_0(X3,k8_funct_2(u1_struct_0(X0),u1_struct_0(X3),k1_tsp_2(X0,X3),X1)))
| ~ v1_relat_1(k1_tsp_2(X0,X3))
| ~ v1_funct_1(k1_tsp_2(X0,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X3)
| ~ v2_tsp_2(X3,X0)
| ~ m2_tsp_1(X3,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X3) ),
inference(superposition,[],[f19843,f31082]) ).
fof(f31340,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X0,X3),X2),k1_struct_0(X3,k8_funct_2(u1_struct_0(X0),u1_struct_0(X3),k1_tsp_2(X0,X3),X1)))
| ~ r2_hidden(X2,k4_tex_4(X0,X1))
| ~ v1_relat_1(k1_tsp_2(X0,X3))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X3)
| ~ v2_tsp_2(X3,X0)
| ~ m2_tsp_1(X3,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ l1_struct_0(X3) ),
inference(forward_subsumption_resolution,[],[f31325,f21475]) ).
fof(f36896,definition,
( spl535_646
<=> k1_xboole_0 = sF531 ),
introduced(definition,[new_symbols(definition,[spl535_646])],[avatar_definition]) ).
fof(f36930,plain,
( k1_xboole_0 != sF531
| v1_xboole_0(sF531)
| ~ v1_xboole_0(k1_xboole_0) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f39313,plain,
! [X2,X0,X1] :
( k9_relat_1(X1,X0) = k3_xboole_0(k9_relat_1(X1,X0),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r1_tarski(X0,k10_relat_1(X1,X2)) ),
inference(superposition,[],[f19522,f16687]) ).
fof(f39851,plain,
( v1_realset1(sF531)
| r2_hidden(sK363(sF531),sF533)
| ~ spl535_233 ),
inference(resolution,[],[f18285,f21834]) ).
fof(f39911,definition,
( spl535_705
<=> r2_hidden(sK363(sF531),sF533) ),
introduced(definition,[new_symbols(definition,[spl535_705])],[avatar_definition]) ).
fof(f39913,plain,
( r2_hidden(sK363(sF531),sF533)
| ~ spl535_705 ),
inference(avatar_component_clause,[],[f39911]) ).
fof(f39921,plain,
( ! [X0,X1] :
( k1_funct_1(sF529,X1) = X0
| ~ r2_hidden(X0,sF531)
| ~ r2_hidden(X1,sF530)
| ~ r2_hidden(X1,sF534) )
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_demodulation,[],[f26537,f30392]) ).
fof(f39922,plain,
( spl535_705
| spl535_387
| ~ spl535_233 ),
inference(avatar_split_clause,[],[f39851,f21829,f26532,f39911]) ).
fof(f43733,plain,
( ! [X0] :
( k1_tarski(X0) = k9_relat_1(sF529,sF530)
| ~ r2_hidden(sK48,k1_relat_1(sF529))
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529)
| ~ r2_hidden(X0,sF531)
| ~ r2_hidden(sK48,sF530)
| ~ r2_hidden(sK48,sF534) )
| ~ spl535_239
| ~ spl535_388
| ~ spl535_554 ),
inference(superposition,[],[f30242,f39921]) ).
fof(f43736,plain,
( ! [X0] :
( k1_tarski(X0) = k9_relat_1(sF529,sF530)
| ~ r2_hidden(sK48,k1_relat_1(sF529))
| ~ v1_funct_1(sF529)
| ~ r2_hidden(X0,sF531)
| ~ r2_hidden(sK48,sF530)
| ~ r2_hidden(sK48,sF534) )
| ~ spl535_211
| ~ spl535_239
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f43733,f21301]) ).
fof(f43750,plain,
( ! [X0] :
( k1_tarski(X0) = k9_relat_1(sF529,sF530)
| ~ r2_hidden(sK48,k1_relat_1(sF529))
| ~ r2_hidden(X0,sF531)
| ~ r2_hidden(sK48,sF530)
| ~ r2_hidden(sK48,sF534) )
| ~ spl535_181
| ~ spl535_211
| ~ spl535_239
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f43736,f20843]) ).
fof(f43757,plain,
( ! [X0] :
( k1_tarski(X0) = k9_relat_1(sF529,sF530)
| ~ r2_hidden(sK48,k1_relat_1(sF529))
| ~ r2_hidden(X0,sF531)
| ~ r2_hidden(sK48,sF534) )
| ~ spl535_181
| ~ spl535_211
| ~ spl535_239
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f43750,f24906]) ).
fof(f43762,definition,
( spl535_770
<=> ! [X0] :
( r2_hidden(X0,k3_xboole_0(sF532,k2_pre_topc(sK47)))
| ~ r2_hidden(X0,sF531) ) ),
introduced(definition,[new_symbols(definition,[spl535_770])],[avatar_definition]) ).
fof(f43763,plain,
( ! [X0] :
( r2_hidden(X0,k3_xboole_0(sF532,k2_pre_topc(sK47)))
| ~ r2_hidden(X0,sF531) )
| ~ spl535_770 ),
inference(avatar_component_clause,[],[f43762]) ).
fof(f43770,plain,
( ! [X0] :
( k1_tarski(X0) = k9_relat_1(sF529,sF530)
| ~ r2_hidden(sK48,k1_relat_1(sF529))
| ~ r2_hidden(X0,sF531) )
| ~ spl535_181
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f43757,f22430]) ).
fof(f43908,definition,
( spl535_777
<=> r2_hidden(sK167(sF531),sF532) ),
introduced(definition,[new_symbols(definition,[spl535_777])],[avatar_definition]) ).
fof(f43909,plain,
( r2_hidden(sK167(sF531),sF532)
| ~ spl535_777 ),
inference(avatar_component_clause,[],[f43908]) ).
fof(f44032,definition,
( spl535_784
<=> r2_hidden(sK167(sF531),sF531) ),
introduced(definition,[new_symbols(definition,[spl535_784])],[avatar_definition]) ).
fof(f44034,plain,
( ~ r2_hidden(sK167(sF531),sF531)
| spl535_784 ),
inference(avatar_component_clause,[],[f44032]) ).
fof(f44225,definition,
( spl535_805
<=> ! [X0] :
( ~ r2_hidden(X0,sF533)
| sK363(sF531) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl535_805])],[avatar_definition]) ).
fof(f44226,plain,
( ! [X0] :
( sK363(sF531) = X0
| ~ r2_hidden(X0,sF533) )
| ~ spl535_805 ),
inference(avatar_component_clause,[],[f44225]) ).
fof(f44235,plain,
( ! [X0] :
( r2_hidden(X0,sF531)
| v1_realset1(sF531)
| ~ r2_hidden(X0,sF533) )
| ~ spl535_805 ),
inference(superposition,[],[f18285,f44226]) ).
fof(f44236,plain,
( ! [X0] :
( r2_hidden(X0,sF531)
| ~ r2_hidden(X0,sF533) )
| spl535_387
| ~ spl535_805 ),
inference(forward_subsumption_resolution,[],[f44235,f26534]) ).
fof(f44237,plain,
( spl535_285
| spl535_387
| ~ spl535_805 ),
inference(avatar_split_clause,[],[f44236,f44225,f26532,f23140]) ).
fof(f44796,definition,
( spl535_834
<=> ! [X2,X0] :
( X0 = X2
| ~ r2_hidden(X0,sF533)
| ~ r2_hidden(X2,sF533) ) ),
introduced(definition,[new_symbols(definition,[spl535_834])],[avatar_definition]) ).
fof(f44797,plain,
( ! [X2,X0] :
( ~ r2_hidden(X2,sF533)
| ~ r2_hidden(X0,sF533)
| X0 = X2 )
| ~ spl535_834 ),
inference(avatar_component_clause,[],[f44796]) ).
fof(f46452,plain,
( ! [X0] :
( sF531 = k3_xboole_0(sF531,X0)
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529)
| ~ r1_tarski(sF530,k10_relat_1(sF529,X0)) )
| ~ spl535_188 ),
inference(superposition,[],[f39313,f20892]) ).
fof(f46499,plain,
( ! [X0] :
( sF531 = k3_xboole_0(sF531,X0)
| ~ v1_funct_1(sF529)
| ~ r1_tarski(sF530,k10_relat_1(sF529,X0)) )
| ~ spl535_188
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f46452,f21301]) ).
fof(f46504,plain,
( ! [X0] :
( ~ r1_tarski(sF530,k10_relat_1(sF529,X0))
| sF531 = k3_xboole_0(sF531,X0) )
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f46499,f20843]) ).
fof(f46509,plain,
( ~ r1_tarski(sF530,sF532)
| sF531 = k3_xboole_0(sF531,k3_xboole_0(sF532,k2_pre_topc(sK47)))
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_541 ),
inference(superposition,[],[f46504,f29936]) ).
fof(f46530,plain,
( sF531 = k3_xboole_0(sF531,k3_xboole_0(sF532,k2_pre_topc(sK47)))
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_214
| ~ spl535_541 ),
inference(forward_subsumption_resolution,[],[f46509,f21606]) ).
fof(f46536,definition,
( spl535_874
<=> sF531 = k3_xboole_0(sF531,k3_xboole_0(sF532,k2_pre_topc(sK47))) ),
introduced(definition,[new_symbols(definition,[spl535_874])],[avatar_definition]) ).
fof(f46538,plain,
( sF531 = k3_xboole_0(sF531,k3_xboole_0(sF532,k2_pre_topc(sK47)))
| ~ spl535_874 ),
inference(avatar_component_clause,[],[f46536]) ).
fof(f46539,plain,
( spl535_874
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_214
| ~ spl535_541 ),
inference(avatar_split_clause,[],[f46530,f29934,f21604,f21299,f20890,f20842,f46536]) ).
fof(f46700,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF531)
| r2_hidden(X0,k3_xboole_0(sF532,k2_pre_topc(sK47))) )
| ~ spl535_874 ),
inference(superposition,[],[f19620,f46538]) ).
fof(f46709,plain,
( spl535_770
| ~ spl535_874 ),
inference(avatar_split_clause,[],[f46700,f46536,f43762]) ).
fof(f46714,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF531)
| r2_hidden(X0,sF532) )
| ~ spl535_770 ),
inference(resolution,[],[f43763,f19619]) ).
fof(f46843,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X3),k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)))
| ~ r2_hidden(X3,k4_tex_4(X1,X2))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_borsuk_1(k1_tsp_2(X1,X0),X1,X0)
| ~ v1_funct_1(k1_tsp_2(X1,X0))
| ~ v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
| ~ m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(superposition,[],[f31340,f29404]) ).
fof(f46850,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X3),k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)))
| ~ r2_hidden(X3,k4_tex_4(X1,X2))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0)
| ~ v3_borsuk_1(k1_tsp_2(X1,X0),X1,X0)
| ~ v1_funct_1(k1_tsp_2(X1,X0))
| ~ v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
| ~ m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f46843]) ).
fof(f46855,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X3),k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)))
| ~ r2_hidden(X3,k4_tex_4(X1,X2))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0)
| ~ v1_funct_1(k1_tsp_2(X1,X0))
| ~ v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
| ~ m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f46850,f21479]) ).
fof(f46861,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X3),k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)))
| ~ r2_hidden(X3,k4_tex_4(X1,X2))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0)
| ~ v1_funct_2(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
| ~ m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f46855,f21475]) ).
fof(f46865,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X3),k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)))
| ~ r2_hidden(X3,k4_tex_4(X1,X2))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0)
| ~ v5_pre_topc(k1_tsp_2(X1,X0),X1,X0)
| ~ m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f46861,f21476]) ).
fof(f46869,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X3),k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)))
| ~ r2_hidden(X3,k4_tex_4(X1,X2))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0)
| ~ m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f46865,f21477]) ).
fof(f46872,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X3),k3_xboole_0(u1_struct_0(X0),k4_tex_4(X1,X2)))
| ~ r2_hidden(X3,k4_tex_4(X1,X2))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f46869,f21478]) ).
fof(f46888,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X2),k3_xboole_0(k2_pre_topc(X0),k4_tex_4(X1,X3)))
| ~ r2_hidden(X2,k4_tex_4(X1,X3))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(superposition,[],[f46872,f17647]) ).
fof(f46915,plain,
! [X2,X3,X0,X1] :
( r2_hidden(k1_funct_1(k1_tsp_2(X1,X0),X2),k3_xboole_0(k2_pre_topc(X0),k4_tex_4(X1,X3)))
| ~ r2_hidden(X2,k4_tex_4(X1,X3))
| ~ v1_relat_1(k1_tsp_2(X1,X0))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,X1)
| ~ m2_tsp_1(X0,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ l1_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f46888]) ).
fof(f47071,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ v1_relat_1(sF529)
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ l1_struct_0(sK47) )
| ~ spl535_189 ),
inference(superposition,[],[f46915,f20920]) ).
fof(f47103,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| v3_struct_0(sK47)
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ l1_struct_0(sK47) )
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47071,f21301]) ).
fof(f47109,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| ~ v2_tsp_2(sK47,sK46)
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ l1_struct_0(sK47) )
| spl535_163
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47103,f20687]) ).
fof(f47115,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| ~ m2_tsp_1(sK47,sK46)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ l1_struct_0(sK47) )
| ~ spl535_162
| spl535_163
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47109,f20682]) ).
fof(f47125,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ l1_struct_0(sK47) )
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47115,f20677]) ).
fof(f47127,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ l1_struct_0(sK47) )
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47125,f20672]) ).
fof(f47129,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| ~ l1_pre_topc(sK46)
| ~ l1_struct_0(sK47) )
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47127,f20667]) ).
fof(f47130,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| ~ l1_struct_0(sK47) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47129,f20662]) ).
fof(f47131,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ r2_hidden(X0,k4_tex_4(sK46,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_184
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47130,f20874]) ).
fof(f47132,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X0),k3_xboole_0(k2_pre_topc(sK47),k4_tex_4(sK46,X1)))
| ~ m1_subset_1(X1,sF534)
| ~ r2_hidden(X0,k4_tex_4(sK46,X1)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_184
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_demodulation,[],[f47131,f20727]) ).
fof(f47134,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(sF529,X1),k4_tex_4(sK46,X0))
| ~ r2_hidden(X1,k4_tex_4(sK46,X0))
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_184
| ~ spl535_189
| ~ spl535_211 ),
inference(resolution,[],[f47132,f19620]) ).
fof(f47192,plain,
( ! [X0] :
( r2_hidden(k1_funct_1(sF529,X0),sF532)
| ~ r2_hidden(X0,sF532)
| ~ m1_subset_1(sK48,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_169
| ~ spl535_171
| ~ spl535_184
| ~ spl535_189
| ~ spl535_211 ),
inference(superposition,[],[f47134,f20717]) ).
fof(f47205,plain,
( ! [X0] :
( r2_hidden(k1_funct_1(sF529,X0),sF532)
| ~ r2_hidden(X0,sF532) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_184
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f47192,f20692]) ).
fof(f47209,plain,
( spl535_452
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_184
| ~ spl535_189
| ~ spl535_211 ),
inference(avatar_split_clause,[],[f47205,f21299,f20918,f20873,f20725,f20715,f20690,f20685,f20680,f20675,f20670,f20665,f20660,f28439]) ).
fof(f47228,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF532)
| ~ r2_hidden(sK237(sF529,X1,X0),sF532)
| ~ r2_hidden(X0,k9_relat_1(sF529,X1))
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529) )
| ~ spl535_452 ),
inference(superposition,[],[f28440,f19704]) ).
fof(f47241,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF532)
| ~ r2_hidden(sK237(sF529,X1,X0),sF532)
| ~ r2_hidden(X0,k9_relat_1(sF529,X1))
| ~ v1_funct_1(sF529) )
| ~ spl535_211
| ~ spl535_452 ),
inference(forward_subsumption_resolution,[],[f47228,f21301]) ).
fof(f47262,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK237(sF529,X1,X0),sF532)
| r2_hidden(X0,sF532)
| ~ r2_hidden(X0,k9_relat_1(sF529,X1)) )
| ~ spl535_181
| ~ spl535_211
| ~ spl535_452 ),
inference(forward_subsumption_resolution,[],[f47241,f20843]) ).
fof(f47466,definition,
( spl535_914
<=> r2_hidden(k1_funct_1(sF529,sK48),sF531) ),
introduced(definition,[new_symbols(definition,[spl535_914])],[avatar_definition]) ).
fof(f47467,plain,
( r2_hidden(k1_funct_1(sF529,sK48),sF531)
| ~ spl535_914 ),
inference(avatar_component_clause,[],[f47466]) ).
fof(f47468,plain,
( ~ r2_hidden(k1_funct_1(sF529,sK48),sF531)
| spl535_914 ),
inference(avatar_component_clause,[],[f47466]) ).
fof(f47683,definition,
( spl535_917
<=> ! [X0] :
( r2_hidden(X0,sF532)
| ~ r2_hidden(X0,sF531) ) ),
introduced(definition,[new_symbols(definition,[spl535_917])],[avatar_definition]) ).
fof(f47684,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF531)
| r2_hidden(X0,sF532) )
| ~ spl535_917 ),
inference(avatar_component_clause,[],[f47683]) ).
fof(f47686,plain,
( spl535_917
| ~ spl535_770 ),
inference(avatar_split_clause,[],[f46714,f43762,f47683]) ).
fof(f47687,plain,
( ~ r2_hidden(sK48,k1_relat_1(sF529))
| ~ r2_hidden(sK48,sF530)
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| spl535_914 ),
inference(resolution,[],[f47468,f22284]) ).
fof(f47688,plain,
( ~ r2_hidden(sK48,k1_relat_1(sF529))
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_357
| spl535_914 ),
inference(forward_subsumption_resolution,[],[f47687,f24906]) ).
fof(f47689,plain,
( ~ r2_hidden(sK48,sF534)
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_357
| ~ spl535_554
| spl535_914 ),
inference(forward_demodulation,[],[f47688,f30392]) ).
fof(f47690,plain,
( $false
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_258
| ~ spl535_357
| ~ spl535_554
| spl535_914 ),
inference(forward_subsumption_resolution,[],[f47689,f22430]) ).
fof(f47691,plain,
( ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_258
| ~ spl535_357
| ~ spl535_554
| spl535_914 ),
inference(avatar_contradiction_clause,[],[f47690]) ).
fof(f47697,plain,
( ~ v1_xboole_0(sF531)
| ~ spl535_914 ),
inference(resolution,[],[f47467,f17867]) ).
fof(f47721,plain,
( ~ spl535_298
| ~ spl535_914 ),
inference(avatar_split_clause,[],[f47697,f47466,f23530]) ).
fof(f47722,plain,
( ! [X0] :
( r2_hidden(X0,sF532)
| ~ r2_hidden(X0,k9_relat_1(sF529,sF532))
| ~ r2_hidden(X0,k9_relat_1(sF529,sF532))
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529) )
| ~ spl535_181
| ~ spl535_211
| ~ spl535_452 ),
inference(resolution,[],[f47262,f19703]) ).
fof(f47723,plain,
( ! [X0] :
( r2_hidden(X0,sF532)
| ~ r2_hidden(X0,k9_relat_1(sF529,sF532))
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529) )
| ~ spl535_181
| ~ spl535_211
| ~ spl535_452 ),
inference(duplicate_literal_removal,[],[f47722]) ).
fof(f47724,plain,
( ! [X0] :
( r2_hidden(X0,sF532)
| ~ r2_hidden(X0,k9_relat_1(sF529,sF532))
| ~ v1_funct_1(sF529) )
| ~ spl535_181
| ~ spl535_211
| ~ spl535_452 ),
inference(forward_subsumption_resolution,[],[f47723,f21301]) ).
fof(f47725,plain,
( ! [X0] :
( r2_hidden(X0,sF532)
| ~ r2_hidden(X0,k9_relat_1(sF529,sF532)) )
| ~ spl535_181
| ~ spl535_211
| ~ spl535_452 ),
inference(forward_subsumption_resolution,[],[f47724,f20843]) ).
fof(f47726,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF533)
| r2_hidden(X0,sF532) )
| ~ spl535_181
| ~ spl535_186
| ~ spl535_211
| ~ spl535_452 ),
inference(forward_demodulation,[],[f47725,f20883]) ).
fof(f47931,plain,
( ! [X0] :
( k1_tarski(X0) = sF531
| ~ r2_hidden(sK48,k1_relat_1(sF529))
| ~ r2_hidden(X0,sF531) )
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_demodulation,[],[f43770,f20892]) ).
fof(f47953,plain,
( ! [X0] :
( ~ r2_hidden(sK48,sF534)
| k1_tarski(X0) = sF531
| ~ r2_hidden(X0,sF531) )
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_demodulation,[],[f47931,f30392]) ).
fof(f47976,plain,
( ! [X0] :
( k1_tarski(X0) = sF531
| ~ r2_hidden(X0,sF531) )
| ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f47953,f22430]) ).
fof(f48277,plain,
( m1_subset_1(sK167(sF531),sF534)
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_777 ),
inference(resolution,[],[f43909,f23048]) ).
fof(f48298,definition,
( spl535_973
<=> m1_subset_1(sK167(sF531),sF534) ),
introduced(definition,[new_symbols(definition,[spl535_973])],[avatar_definition]) ).
fof(f48300,plain,
( m1_subset_1(sK167(sF531),sF534)
| ~ spl535_973 ),
inference(avatar_component_clause,[],[f48298]) ).
fof(f48301,plain,
( spl535_973
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_777 ),
inference(avatar_split_clause,[],[f48277,f43908,f20725,f20715,f20690,f20670,f20665,f20660,f48298]) ).
fof(f50494,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ r2_hidden(X0,sF531) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(superposition,[],[f25312,f47976]) ).
fof(f50904,plain,
( ! [X0] :
( k4_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f50494,f21724]) ).
fof(f50912,plain,
( ! [X0] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531)
| v3_struct_0(sK46)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(superposition,[],[f50904,f16642]) ).
fof(f51040,definition,
( spl535_1170
<=> ! [X1] :
( ~ m1_subset_1(X1,sF534)
| ~ r2_hidden(X1,sF531) ) ),
introduced(definition,[new_symbols(definition,[spl535_1170])],[avatar_definition]) ).
fof(f51041,plain,
( ! [X1] :
( ~ m1_subset_1(X1,sF534)
| ~ r2_hidden(X1,sF531) )
| ~ spl535_1170 ),
inference(avatar_component_clause,[],[f51040]) ).
fof(f51059,plain,
( ! [X0] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531)
| ~ v2_pre_topc(sK46)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f50912,f20672]) ).
fof(f51098,plain,
( ! [X0] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531)
| ~ l1_pre_topc(sK46)
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f51059,f20667]) ).
fof(f51125,plain,
( ! [X0] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531)
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f51098,f20662]) ).
fof(f51158,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF534)
| k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_demodulation,[],[f51125,f20727]) ).
fof(f51159,plain,
( ! [X0] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(duplicate_literal_removal,[],[f51158]) ).
fof(f51622,plain,
( r2_hidden(sK167(sF531),sF532)
| k1_xboole_0 = sF531
| ~ spl535_917 ),
inference(resolution,[],[f47684,f17239]) ).
fof(f52081,plain,
( ~ r2_hidden(sK167(sF531),sF531)
| ~ spl535_973
| ~ spl535_1170 ),
inference(resolution,[],[f48300,f51041]) ).
fof(f52088,plain,
( ~ spl535_784
| ~ spl535_973
| ~ spl535_1170 ),
inference(avatar_split_clause,[],[f52081,f51040,f48298,f44032]) ).
fof(f52090,plain,
( k1_xboole_0 = sF531
| spl535_784 ),
inference(resolution,[],[f44034,f17239]) ).
fof(f52094,plain,
( spl535_646
| spl535_784 ),
inference(avatar_split_clause,[],[f52090,f44032,f36896]) ).
fof(f52097,plain,
( spl535_646
| spl535_777
| ~ spl535_917 ),
inference(avatar_split_clause,[],[f51622,f47683,f43908,f36896]) ).
fof(f52127,plain,
( ! [X0,X1] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X1,sF534)
| ~ r2_hidden(X1,sF531)
| ~ r2_hidden(X1,k2_tex_4(sK46,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| v3_struct_0(sK46)
| ~ l1_pre_topc(sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(superposition,[],[f51159,f17849]) ).
fof(f52393,definition,
( spl535_1200
<=> sF532 = k10_relat_1(sF529,sF531) ),
introduced(definition,[new_symbols(definition,[spl535_1200])],[avatar_definition]) ).
fof(f52394,plain,
( sF532 = k10_relat_1(sF529,sF531)
| ~ spl535_1200 ),
inference(avatar_component_clause,[],[f52393]) ).
fof(f52601,plain,
( ! [X0,X1] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X1,sF534)
| ~ r2_hidden(X1,sF531)
| ~ r2_hidden(X1,k2_tex_4(sK46,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| ~ m1_subset_1(X0,u1_struct_0(sK46))
| ~ l1_pre_topc(sK46) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f52127,f20672]) ).
fof(f52679,plain,
( ! [X0,X1] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X1,sF534)
| ~ r2_hidden(X1,sF531)
| ~ r2_hidden(X1,k2_tex_4(sK46,X0))
| ~ m1_subset_1(X1,u1_struct_0(sK46))
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f52601,f20662]) ).
fof(f52766,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF534)
| k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X1,sF534)
| ~ r2_hidden(X1,sF531)
| ~ r2_hidden(X1,k2_tex_4(sK46,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_demodulation,[],[f52679,f20727]) ).
fof(f52767,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF534)
| k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ r2_hidden(X1,sF531)
| ~ r2_hidden(X1,k2_tex_4(sK46,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK46)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(duplicate_literal_removal,[],[f52766]) ).
fof(f52796,plain,
( ! [X0,X1] :
( k2_tex_4(sK46,X0) = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X1,sF534)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X1,sF531)
| ~ r2_hidden(X1,k2_tex_4(sK46,X0)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_demodulation,[],[f52767,f20727]) ).
fof(f52851,plain,
( ! [X0] :
( sF532 = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ m1_subset_1(sK48,sF534)
| ~ r2_hidden(X0,sF531)
| ~ r2_hidden(X0,k2_tex_4(sK46,sK48)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(superposition,[],[f20762,f52796]) ).
fof(f53253,plain,
( ! [X0] :
( sF532 = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531)
| ~ r2_hidden(X0,k2_tex_4(sK46,sK48)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_subsumption_resolution,[],[f52851,f20692]) ).
fof(f53320,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF532)
| sF532 = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554 ),
inference(forward_demodulation,[],[f53253,f20762]) ).
fof(f53354,plain,
( ! [X0] :
( sF532 = k10_relat_1(sF529,sF531)
| ~ m1_subset_1(X0,sF534)
| ~ r2_hidden(X0,sF531) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554
| ~ spl535_917 ),
inference(forward_subsumption_resolution,[],[f53320,f47684]) ).
fof(f53387,plain,
( spl535_1170
| spl535_1200
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554
| ~ spl535_917 ),
inference(avatar_split_clause,[],[f53354,f47683,f30390,f26536,f24904,f22428,f21988,f21299,f20943,f20918,f20890,f20885,f20877,f20873,f20842,f20801,f20760,f20725,f20690,f20685,f20680,f20675,f20670,f20665,f20660,f52393,f51040]) ).
fof(f57411,plain,
( sF531 = k9_relat_1(sF529,sF532)
| ~ r1_tarski(sF531,k2_relat_1(sF529))
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529)
| ~ spl535_1200 ),
inference(superposition,[],[f19525,f52394]) ).
fof(f57416,plain,
( sF531 = k9_relat_1(sF529,sF532)
| ~ v1_relat_1(sF529)
| ~ v1_funct_1(sF529)
| ~ spl535_273
| ~ spl535_1200 ),
inference(forward_subsumption_resolution,[],[f57411,f22930]) ).
fof(f57423,plain,
( sF531 = k9_relat_1(sF529,sF532)
| ~ v1_funct_1(sF529)
| ~ spl535_211
| ~ spl535_273
| ~ spl535_1200 ),
inference(forward_subsumption_resolution,[],[f57416,f21301]) ).
fof(f57428,plain,
( sF531 = k9_relat_1(sF529,sF532)
| ~ spl535_181
| ~ spl535_211
| ~ spl535_273
| ~ spl535_1200 ),
inference(forward_subsumption_resolution,[],[f57423,f20843]) ).
fof(f57436,definition,
( spl535_1348
<=> sF531 = k9_relat_1(sF529,sF532) ),
introduced(definition,[new_symbols(definition,[spl535_1348])],[avatar_definition]) ).
fof(f57439,plain,
( spl535_1348
| ~ spl535_181
| ~ spl535_211
| ~ spl535_273
| ~ spl535_1200 ),
inference(avatar_split_clause,[],[f57428,f52393,f22928,f21299,f20842,f57436]) ).
fof(f57440,plain,
( sF531 != k9_relat_1(sF529,sF532)
| sF533 != k9_relat_1(sF529,sF532)
| sF531 = sF533 ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f84429,plain,
( ! [X0] :
( ~ r1_tarski(sF532,sF532)
| ~ m1_subset_1(X0,sF534)
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ r2_hidden(X0,sF532)
| ~ m1_subset_1(X0,sF534) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(superposition,[],[f28940,f21336]) ).
fof(f84438,plain,
( ! [X0] :
( ~ r1_tarski(sF532,sF532)
| ~ m1_subset_1(X0,sF534)
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ r2_hidden(X0,sF532) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(duplicate_literal_removal,[],[f84429]) ).
fof(f84446,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF534)
| r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ r2_hidden(X0,sF532) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f84438,f17063]) ).
fof(f84456,plain,
( ! [X0] :
( r1_tarski(sF533,k1_struct_0(sK47,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ r2_hidden(X0,sF532) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f84446,f23048]) ).
fof(f84482,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_struct_0(sK47,X0))
| ~ r2_hidden(X0,sF532)
| ~ r2_hidden(X1,sF533)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(resolution,[],[f84456,f17064]) ).
fof(f84556,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_tarski(X0))
| ~ r2_hidden(X0,sF532)
| ~ r2_hidden(X1,sF533)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ l1_struct_0(sK47)
| ~ m1_subset_1(X0,u1_struct_0(sK47)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(superposition,[],[f84482,f16608]) ).
fof(f84562,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_tarski(X0))
| ~ r2_hidden(X0,sF532)
| ~ r2_hidden(X1,sF533)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| v3_struct_0(sK47)
| ~ l1_struct_0(sK47) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(duplicate_literal_removal,[],[f84556]) ).
fof(f84568,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_tarski(X0))
| ~ r2_hidden(X0,sF532)
| ~ r2_hidden(X1,sF533)
| ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ l1_struct_0(sK47) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f84562,f20687]) ).
fof(f84575,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK47))
| ~ r2_hidden(X0,sF532)
| ~ r2_hidden(X1,sF533)
| r2_hidden(X1,k1_tarski(X0)) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_211 ),
inference(forward_subsumption_resolution,[],[f84568,f20874]) ).
fof(f85355,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF532)
| ~ r2_hidden(X1,sF533)
| r2_hidden(X1,k1_tarski(X0))
| ~ r2_hidden(X0,sF533) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_191
| ~ spl535_211 ),
inference(resolution,[],[f84575,f21732]) ).
fof(f85367,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_tarski(X0))
| ~ r2_hidden(X1,sF533)
| ~ r2_hidden(X0,sF533) )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_191
| ~ spl535_211
| ~ spl535_452 ),
inference(forward_subsumption_resolution,[],[f85355,f47726]) ).
fof(f85370,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF533)
| ~ r2_hidden(X1,sF533)
| X0 = X1 )
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_191
| ~ spl535_211
| ~ spl535_452 ),
inference(resolution,[],[f85367,f19666]) ).
fof(f85401,plain,
( spl535_834
| ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_191
| ~ spl535_211
| ~ spl535_452 ),
inference(avatar_split_clause,[],[f85370,f28439,f21299,f20938,f20918,f20885,f20881,f20877,f20873,f20842,f20801,f20760,f20725,f20715,f20690,f20685,f20680,f20675,f20670,f20665,f20660,f44796]) ).
fof(f85422,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF533)
| sK363(sF531) = X0 )
| ~ spl535_705
| ~ spl535_834 ),
inference(resolution,[],[f44797,f39913]) ).
fof(f85435,plain,
( spl535_805
| ~ spl535_705
| ~ spl535_834 ),
inference(avatar_split_clause,[],[f85422,f44796,f39911,f44225]) ).
cnf(s61,plain,
spl535_63,
inference(sat_conversion,[],[f20194]) ).
cnf(s158,plain,
spl535_158,
inference(sat_conversion,[],[f20663]) ).
cnf(s159,plain,
spl535_159,
inference(sat_conversion,[],[f20668]) ).
cnf(s160,plain,
~ spl535_160,
inference(sat_conversion,[],[f20673]) ).
cnf(s161,plain,
spl535_161,
inference(sat_conversion,[],[f20678]) ).
cnf(s162,plain,
spl535_162,
inference(sat_conversion,[],[f20683]) ).
cnf(s163,plain,
~ spl535_163,
inference(sat_conversion,[],[f20688]) ).
cnf(s164,plain,
spl535_164,
inference(sat_conversion,[],[f20693]) ).
cnf(s165,plain,
~ spl535_165,
inference(sat_conversion,[],[f20698]) ).
cnf(s166,plain,
spl535_166,
inference(sat_conversion,[],[f20703]) ).
cnf(s167,plain,
spl535_167,
inference(sat_conversion,[],[f20708]) ).
cnf(s168,plain,
spl535_168,
inference(sat_conversion,[],[f20713]) ).
cnf(s169,plain,
spl535_169,
inference(sat_conversion,[],[f20718]) ).
cnf(s170,plain,
spl535_170,
inference(sat_conversion,[],[f20723]) ).
cnf(s171,plain,
spl535_171,
inference(sat_conversion,[],[f20728]) ).
cnf(s177,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| spl535_176 ),
inference(sat_conversion,[],[f20764]) ).
cnf(s178,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_177
| spl535_178 ),
inference(sat_conversion,[],[f20786]) ).
cnf(s179,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_171
| ~ spl535_177
| spl535_179 ),
inference(sat_conversion,[],[f20804]) ).
cnf(s180,plain,
( ~ spl535_158
| ~ spl535_161
| spl535_177 ),
inference(sat_conversion,[],[f20807]) ).
cnf(s182,plain,
( ~ spl535_158
| ~ spl535_161
| spl535_183 ),
inference(sat_conversion,[],[f20855]) ).
cnf(s185,plain,
( ~ spl535_170
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| spl535_186
| ~ spl535_187 ),
inference(sat_conversion,[],[f20894]) ).
cnf(s186,plain,
( ~ spl535_168
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| spl535_188 ),
inference(sat_conversion,[],[f20895]) ).
cnf(s187,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177
| spl535_189 ),
inference(sat_conversion,[],[f20921]) ).
cnf(s190,plain,
( ~ spl535_170
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| spl535_191 ),
inference(sat_conversion,[],[f20941]) ).
cnf(s191,plain,
( ~ spl535_168
| ~ spl535_171
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| spl535_192 ),
inference(sat_conversion,[],[f20946]) ).
cnf(s192,plain,
( ~ spl535_183
| spl535_184 ),
inference(sat_conversion,[],[f20951]) ).
cnf(s194,plain,
( ~ spl535_158
| spl535_185 ),
inference(sat_conversion,[],[f20954]) ).
cnf(s195,plain,
( ~ spl535_178
| spl535_187 ),
inference(sat_conversion,[],[f20960]) ).
cnf(s197,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| spl535_194 ),
inference(sat_conversion,[],[f21029]) ).
cnf(s200,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177
| spl535_180 ),
inference(sat_conversion,[],[f21073]) ).
cnf(s209,plain,
( ~ spl535_171
| ~ spl535_185
| spl535_210 ),
inference(sat_conversion,[],[f21244]) ).
cnf(s212,plain,
( ~ spl535_178
| spl535_211 ),
inference(sat_conversion,[],[f21303]) ).
cnf(s213,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_189
| spl535_212 ),
inference(sat_conversion,[],[f21495]) ).
cnf(s215,plain,
( ~ spl535_158
| spl535_160
| ~ spl535_164
| ~ spl535_167
| ~ spl535_171
| ~ spl535_176
| spl535_214 ),
inference(sat_conversion,[],[f21607]) ).
cnf(s224,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177
| spl535_181 ),
inference(sat_conversion,[],[f21690]) ).
cnf(s235,plain,
( ~ spl535_186
| ~ spl535_188
| ~ spl535_211
| ~ spl535_214
| spl535_233 ),
inference(sat_conversion,[],[f21832]) ).
cnf(s236,plain,
( spl535_165
| ~ spl535_230
| ~ spl535_233 ),
inference(sat_conversion,[],[f21836]) ).
cnf(s241,plain,
( spl535_160
| ~ spl535_164
| ~ spl535_167
| ~ spl535_171
| ~ spl535_185
| spl535_239 ),
inference(sat_conversion,[],[f21991]) ).
cnf(s268,plain,
( ~ spl535_188
| ~ spl535_211
| spl535_273 ),
inference(sat_conversion,[],[f22931]) ).
cnf(s293,plain,
( spl535_160
| ~ spl535_164
| ~ spl535_171
| ~ spl535_185
| ~ spl535_210
| spl535_258 ),
inference(sat_conversion,[],[f23556]) ).
cnf(s347,plain,
( ~ spl535_239
| spl535_357 ),
inference(sat_conversion,[],[f24907]) ).
cnf(s373,plain,
( ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_387
| spl535_388 ),
inference(sat_conversion,[],[f26538]) ).
cnf(s424,plain,
( spl535_230
| ~ spl535_285 ),
inference(sat_conversion,[],[f27467]) ).
cnf(s506,plain,
( ~ spl535_158
| spl535_160
| ~ spl535_161
| ~ spl535_171
| spl535_493 ),
inference(sat_conversion,[],[f29821]) ).
cnf(s513,plain,
( ~ spl535_184
| ~ spl535_493
| spl535_518 ),
inference(sat_conversion,[],[f29857]) ).
cnf(s525,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_166
| ~ spl535_169
| ~ spl535_171
| ~ spl535_178
| ~ spl535_179
| ~ spl535_180
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_212
| spl535_503 ),
inference(sat_conversion,[],[f29979]) ).
cnf(s527,plain,
( ~ spl535_194
| ~ spl535_503
| ~ spl535_518
| spl535_541 ),
inference(sat_conversion,[],[f30009]) ).
cnf(s535,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_162
| spl535_163
| ~ spl535_166
| ~ spl535_177
| ~ spl535_184
| ~ spl535_210
| spl535_554 ),
inference(sat_conversion,[],[f30393]) ).
cnf(s649,plain,
( ~ spl535_63
| spl535_298
| ~ spl535_646 ),
inference(sat_conversion,[],[f36930]) ).
cnf(s736,plain,
( ~ spl535_233
| spl535_387
| spl535_705 ),
inference(sat_conversion,[],[f39922]) ).
cnf(s922,plain,
( spl535_285
| spl535_387
| ~ spl535_805 ),
inference(sat_conversion,[],[f44237]) ).
cnf(s997,plain,
( ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_214
| ~ spl535_541
| spl535_874 ),
inference(sat_conversion,[],[f46539]) ).
cnf(s1014,plain,
( spl535_770
| ~ spl535_874 ),
inference(sat_conversion,[],[f46709]) ).
cnf(s1046,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_184
| ~ spl535_189
| ~ spl535_211
| spl535_452 ),
inference(sat_conversion,[],[f47209]) ).
cnf(s1065,plain,
( ~ spl535_770
| spl535_917 ),
inference(sat_conversion,[],[f47686]) ).
cnf(s1066,plain,
( ~ spl535_181
| ~ spl535_188
| ~ spl535_211
| ~ spl535_258
| ~ spl535_357
| ~ spl535_554
| spl535_914 ),
inference(sat_conversion,[],[f47691]) ).
cnf(s1073,plain,
( ~ spl535_298
| ~ spl535_914 ),
inference(sat_conversion,[],[f47721]) ).
cnf(s1218,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_777
| spl535_973 ),
inference(sat_conversion,[],[f48301]) ).
cnf(s1677,plain,
( ~ spl535_784
| ~ spl535_973
| ~ spl535_1170 ),
inference(sat_conversion,[],[f52088]) ).
cnf(s1680,plain,
( spl535_646
| spl535_784 ),
inference(sat_conversion,[],[f52094]) ).
cnf(s1682,plain,
( spl535_646
| spl535_777
| ~ spl535_917 ),
inference(sat_conversion,[],[f52097]) ).
cnf(s1940,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_187
| ~ spl535_188
| ~ spl535_189
| ~ spl535_192
| ~ spl535_211
| ~ spl535_239
| ~ spl535_258
| ~ spl535_357
| ~ spl535_388
| ~ spl535_554
| ~ spl535_917
| spl535_1170
| spl535_1200 ),
inference(sat_conversion,[],[f53387]) ).
cnf(s2571,plain,
( ~ spl535_181
| ~ spl535_211
| ~ spl535_273
| ~ spl535_1200
| spl535_1348 ),
inference(sat_conversion,[],[f57439]) ).
cnf(s2572,plain,
( spl535_165
| ~ spl535_186
| ~ spl535_1348 ),
inference(sat_conversion,[],[f57440]) ).
cnf(s3101,plain,
( ~ spl535_158
| ~ spl535_159
| spl535_160
| ~ spl535_161
| ~ spl535_162
| spl535_163
| ~ spl535_164
| ~ spl535_169
| ~ spl535_171
| ~ spl535_176
| ~ spl535_179
| ~ spl535_181
| ~ spl535_184
| ~ spl535_185
| ~ spl535_186
| ~ spl535_187
| ~ spl535_189
| ~ spl535_191
| ~ spl535_211
| ~ spl535_452
| spl535_834 ),
inference(sat_conversion,[],[f85401]) ).
cnf(s3104,plain,
( ~ spl535_705
| spl535_805
| ~ spl535_834 ),
inference(sat_conversion,[],[f85435]) ).
cnf(s3124,plain,
spl535_493,
inference(rat,[],[s506,s160,s171,s161,s158]) ).
cnf(s3136,plain,
spl535_194,
inference(rat,[],[s197,s159,s171,s169,s164,s160,s158]) ).
cnf(s3138,plain,
spl535_185,
inference(rat,[],[s194,s158]) ).
cnf(s3139,plain,
spl535_183,
inference(rat,[],[s182,s161,s158]) ).
cnf(s3140,plain,
spl535_177,
inference(rat,[],[s180,s161,s158]) ).
cnf(s3141,plain,
spl535_176,
inference(rat,[],[s177,s159,s171,s169,s164,s160,s158]) ).
cnf(s3151,plain,
spl535_210,
inference(rat,[],[s209,s171,s3138]) ).
cnf(s3155,plain,
spl535_239,
inference(rat,[],[s241,s160,s164,s171,s167,s3138]) ).
cnf(s3161,plain,
spl535_184,
inference(rat,[],[s192,s3139]) ).
cnf(s3164,plain,
spl535_181,
inference(rat,[],[s224,s158,s159,s166,s163,s162,s160,s3140]) ).
cnf(s3165,plain,
spl535_180,
inference(rat,[],[s200,s158,s159,s166,s163,s162,s160,s3140]) ).
cnf(s3166,plain,
spl535_189,
inference(rat,[],[s187,s158,s159,s166,s163,s162,s160,s3140]) ).
cnf(s3167,plain,
spl535_179,
inference(rat,[],[s179,s158,s159,s171,s166,s163,s162,s160,s3140]) ).
cnf(s3168,plain,
spl535_178,
inference(rat,[],[s178,s158,s159,s171,s166,s163,s162,s160,s3140]) ).
cnf(s3172,plain,
spl535_214,
inference(rat,[],[s215,s158,s160,s171,s167,s164,s3141]) ).
cnf(s3179,plain,
spl535_258,
inference(rat,[],[s293,s3138,s160,s164,s171,s3151]) ).
cnf(s3186,plain,
spl535_357,
inference(rat,[],[s347,s3155]) ).
cnf(s3189,plain,
spl535_518,
inference(rat,[],[s513,s3124,s3161]) ).
cnf(s3191,plain,
spl535_554,
inference(rat,[],[s535,s3140,s3151,s158,s159,s166,s163,s162,s160,s3161]) ).
cnf(s3194,plain,
spl535_212,
inference(rat,[],[s213,s158,s159,s163,s162,s161,s160,s3166]) ).
cnf(s3197,plain,
spl535_211,
inference(rat,[],[s212,s3168]) ).
cnf(s3199,plain,
spl535_187,
inference(rat,[],[s195,s3168]) ).
cnf(s3231,plain,
spl535_452,
inference(rat,[],[s1046,s3166,s3161,s158,s159,s171,s169,s164,s163,s162,s161,s160,s3197]) ).
cnf(s3236,plain,
spl535_191,
inference(rat,[],[s190,s3167,s3164,s3138,s3161,s170,s171,s3199]) ).
cnf(s3237,plain,
spl535_192,
inference(rat,[],[s191,s3167,s3164,s3138,s3161,s168,s171,s3199]) ).
cnf(s3238,plain,
spl535_188,
inference(rat,[],[s186,s3167,s3164,s3138,s3161,s168,s171,s3199]) ).
cnf(s3239,plain,
spl535_186,
inference(rat,[],[s185,s3167,s3164,s3138,s3161,s170,s171,s3199]) ).
cnf(s3240,plain,
spl535_503,
inference(rat,[],[s525,s3168,s3194,s3167,s3138,s3161,s3164,s3165,s158,s159,s171,s169,s166,s164,s163,s162,s161,s160,s3199]) ).
cnf(s3312,plain,
spl535_914,
inference(rat,[],[s1066,s3197,s3191,s3186,s3179,s3164,s3238]) ).
cnf(s3316,plain,
spl535_273,
inference(rat,[],[s268,s3197,s3238]) ).
cnf(s3318,plain,
~ spl535_1348,
inference(rat,[],[s2572,s165,s3239]) ).
cnf(s3323,plain,
spl535_233,
inference(rat,[],[s235,s3238,s3172,s3197,s3239]) ).
cnf(s3328,plain,
spl535_834,
inference(rat,[],[s3101,s3199,s3231,s3197,s3236,s3166,s3167,s3141,s3138,s3161,s3164,s158,s159,s171,s169,s164,s163,s162,s161,s160,s3239]) ).
cnf(s3329,plain,
spl535_541,
inference(rat,[],[s527,s3189,s3136,s3240]) ).
cnf(s3348,plain,
~ spl535_298,
inference(rat,[],[s1073,s3312]) ).
cnf(s3353,plain,
~ spl535_1200,
inference(rat,[],[s2571,s3318,s3197,s3164,s3316]) ).
cnf(s3357,plain,
~ spl535_230,
inference(rat,[],[s236,s165,s3323]) ).
cnf(s3367,plain,
spl535_874,
inference(rat,[],[s997,s3238,s3197,s3172,s3164,s3329]) ).
cnf(s3411,plain,
~ spl535_285,
inference(rat,[],[s424,s3357]) ).
cnf(s3415,plain,
spl535_770,
inference(rat,[],[s1014,s3367]) ).
cnf(s3438,plain,
spl535_917,
inference(rat,[],[s1065,s3415]) ).
cnf(s3469,plain,
~ spl535_646,
inference(rat,[],[s649,s3348,s61]) ).
cnf(s3479,plain,
spl535_777,
inference(rat,[],[s1682,s3438,s3469]) ).
cnf(s3480,plain,
spl535_784,
inference(rat,[],[s1680,s3469]) ).
cnf(s3488,plain,
spl535_973,
inference(rat,[],[s1218,s158,s159,s171,s169,s164,s160,s3479]) ).
cnf(s3493,plain,
~ spl535_1170,
inference(rat,[],[s1677,s3480,s3488]) ).
cnf(s3499,plain,
~ spl535_388,
inference(rat,[],[s1940,s3353,s3438,s3238,s3191,s3237,s3186,s3179,s3155,s3197,s3199,s3166,s3167,s3141,s3138,s3161,s3164,s158,s159,s171,s164,s163,s162,s161,s160,s3493]) ).
cnf(s3501,plain,
~ spl535_387,
inference(rat,[],[s373,s3238,s3197,s3164,s3499]) ).
cnf(s3503,plain,
~ spl535_805,
inference(rat,[],[s922,s3411,s3501]) ).
cnf(s3505,plain,
spl535_705,
inference(rat,[],[s736,s3323,s3501]) ).
cnf(s3510,plain,
$false,
inference(rat,[],[s3104,s3328,s3503,s3505]) ).
fof(f85446,plain,
$false,
inference(avatar_sat_refutation,[],[s3510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP036+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n002.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:01:39 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 13.82/3.15 % (648743)Detected formulas, will run a generic FOF schedule.
% 13.82/3.15 % (648751)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2395889587:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 13.82/3.15 % (648748)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=1285296597:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 13.82/3.15 % (648750)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=4139073948:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 13.82/3.15 % (648749)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=2305241185:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 13.82/3.15 % (648751)Refutation not found, incomplete strategy
% 13.82/3.15 % (648751)------------------------------
% 13.82/3.15 % (648751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.15 % (648751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.15 % (648751)CaDiCaL version: 2.1.3
% 13.82/3.15 % (648751)Termination reason: Refutation not found, incomplete strategy
% 13.82/3.15 % (648751)Time elapsed: 0.048 s
% 13.82/3.15 % (648751)Peak memory usage: 107 MB
% 13.82/3.15 % (648751)Instructions burned: 102 (million)
% 13.82/3.15 % (648753)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=677538564:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 13.82/3.15 % (648754)dis-21_1_sil=8000:lcm=predicate:random_seed=2059926150:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 13.82/3.15 % (648752)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3003462505:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 13.82/3.15 % (648753)Instruction limit reached!
% 13.82/3.15 % (648753)------------------------------
% 13.82/3.15 % (648753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.15 % (648753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.15 % (648753)CaDiCaL version: 2.1.3
% 13.82/3.15 % (648753)Termination reason: Instruction limit
% 13.82/3.15 % (648753)Termination phase: Property scanning
% 13.82/3.15 % (648753)Time elapsed: 0.059 s
% 13.82/3.15 % (648753)Peak memory usage: 102 MB
% 13.82/3.15 % (648753)Instructions burned: 141 (million)
% 13.82/3.15 % (648754)Instruction limit reached!
% 13.82/3.15 % (648754)------------------------------
% 13.82/3.15 % (648754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.15 % (648754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.15 % (648754)CaDiCaL version: 2.1.3
% 13.82/3.15 % (648754)Termination reason: Instruction limit
% 13.82/3.15 % (648754)Termination phase: Preprocessing 1
% 13.82/3.15 % (648754)Time elapsed: 0.096 s
% 13.82/3.15 % (648754)Peak memory usage: 103 MB
% 13.82/3.15 % (648754)Instructions burned: 130 (million)
% 13.82/3.15 % (648752)Instruction limit reached!
% 13.82/3.15 % (648752)------------------------------
% 13.82/3.15 % (648752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.15 % (648752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.15 % (648752)CaDiCaL version: 2.1.3
% 13.82/3.15 % (648752)Termination reason: Instruction limit
% 13.82/3.15 % (648752)Termination phase: Naming
% 13.82/3.15 % (648752)Time elapsed: 0.105 s
% 13.82/3.15 % (648752)Peak memory usage: 106 MB
% 13.82/3.15 % (648752)Instructions burned: 119 (million)
% 13.82/3.15 % (648751)------------------------------
% 13.82/3.15 % (648751)------------------------------
% 13.82/3.15 % (648762)lrs+10_1_sil=8000:sp=occurrence:random_seed=2066977106:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 13.82/3.15 % (648763)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1267246935:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 13.82/3.15 % (648765)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=3383688493:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 13.82/3.15 % (648764)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3553849991:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 20.21/4.06 % (648763)Instruction limit reached!
% 20.21/4.06 % (648763)------------------------------
% 20.21/4.06 % (648763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.06 % (648763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.06 % (648763)CaDiCaL version: 2.1.3
% 20.21/4.06 % (648763)Termination reason: Instruction limit
% 20.21/4.06 % (648763)Termination phase: Property scanning
% 20.21/4.06 % (648763)Time elapsed: 0.066 s
% 20.21/4.06 % (648763)Peak memory usage: 102 MB
% 20.21/4.06 % (648763)Instructions burned: 158 (million)
% 20.21/4.06 % (648765)Instruction limit reached!
% 20.21/4.06 % (648765)------------------------------
% 20.21/4.06 % (648765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.06 % (648765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.06 % (648765)CaDiCaL version: 2.1.3
% 20.21/4.06 % (648765)Termination reason: Instruction limit
% 20.21/4.06 % (648765)Termination phase: SInE selection
% 20.21/4.06 % (648765)Time elapsed: 0.068 s
% 20.21/4.06 % (648765)Peak memory usage: 103 MB
% 20.21/4.06 % (648765)Instructions burned: 249 (million)
% 20.21/4.06 % (648762)Instruction limit reached!
% 20.21/4.06 % (648762)------------------------------
% 20.21/4.06 % (648762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.06 % (648762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.06 % (648762)CaDiCaL version: 2.1.3
% 20.21/4.06 % (648762)Termination reason: Instruction limit
% 20.21/4.06 % (648762)Termination phase: Saturation
% 20.21/4.06 % (648762)Time elapsed: 0.189 s
% 20.21/4.06 % (648762)Peak memory usage: 110 MB
% 20.21/4.06 % (648762)Instructions burned: 285 (million)
% 20.21/4.06 % (648771)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=18160737:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 20.21/4.06 % (648770)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=371142538:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 20.21/4.06 % (648764)Instruction limit reached!
% 20.21/4.06 % (648764)------------------------------
% 20.21/4.06 % (648764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.06 % (648764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.06 % (648764)CaDiCaL version: 2.1.3
% 20.21/4.06 % (648764)Termination reason: Instruction limit
% 20.21/4.06 % (648764)Termination phase: Saturation
% 20.21/4.06 % (648764)Time elapsed: 0.221 s
% 20.21/4.06 % (648764)Peak memory usage: 109 MB
% 20.21/4.06 % (648764)Instructions burned: 325 (million)
% 20.21/4.06 % (648773)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=453907543:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 20.21/4.06 % (648770)Instruction limit reached!
% 20.21/4.06 % (648770)------------------------------
% 20.21/4.06 % (648770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.06 % (648770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.06 % (648770)CaDiCaL version: 2.1.3
% 20.21/4.06 % (648770)Termination reason: Instruction limit
% 20.21/4.06 % (648770)Termination phase: Saturation
% 20.21/4.06 % (648770)Time elapsed: 0.185 s
% 20.21/4.06 % (648770)Peak memory usage: 110 MB
% 20.21/4.06 % (648770)Instructions burned: 295 (million)
% 20.21/4.06 % (648776)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3475034729:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 20.21/4.06 % (648773)Instruction limit reached!
% 20.21/4.06 % (648773)------------------------------
% 20.21/4.06 % (648773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.06 % (648773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.06 % (648773)CaDiCaL version: 2.1.3
% 20.21/4.06 % (648773)Termination reason: Instruction limit
% 20.21/4.06 % (648773)Termination phase: Preprocessing 2
% 20.21/4.06 % (648773)Time elapsed: 0.098 s
% 20.21/4.06 % (648773)Peak memory usage: 105 MB
% 20.21/4.06 % (648773)Instructions burned: 113 (million)
% 20.21/4.06 % (648776)Instruction limit reached!
% 20.21/4.06 % (648776)------------------------------
% 20.21/4.06 % (648776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.06 % (648776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.06 % (648776)CaDiCaL version: 2.1.3
% 20.21/4.06 % (648776)Termination reason: Instruction limit
% 20.21/4.06 % (648776)Termination phase: Preprocessing 2
% 60.42/9.76 % (648776)Time elapsed: 0.102 s
% 60.42/9.76 % (648776)Peak memory usage: 106 MB
% 60.42/9.76 % (648776)Instructions burned: 127 (million)
% 60.42/9.76 % (648778)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=778532331:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 60.42/9.76 % (648780)lrs+10_1_sil=8000:sp=occurrence:random_seed=3328582698:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 60.42/9.76 % (648778)Instruction limit reached!
% 60.42/9.76 % (648778)------------------------------
% 60.42/9.76 % (648778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.42/9.76 % (648778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.42/9.76 % (648778)CaDiCaL version: 2.1.3
% 60.42/9.76 % (648778)Termination reason: Instruction limit
% 60.42/9.76 % (648778)Termination phase: Property scanning
% 60.42/9.76 % (648778)Time elapsed: 0.049 s
% 60.42/9.76 % (648778)Peak memory usage: 102 MB
% 60.42/9.76 % (648778)Instructions burned: 114 (million)
% 60.42/9.76 % (648781)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=993512330:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 60.42/9.76 % (648784)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3835337023:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 60.42/9.76 % (648781)Instruction limit reached!
% 60.42/9.76 % (648781)------------------------------
% 60.42/9.76 % (648781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.42/9.76 % (648781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.42/9.76 % (648781)CaDiCaL version: 2.1.3
% 60.42/9.76 % (648781)Termination reason: Instruction limit
% 60.42/9.76 % (648781)Termination phase: Saturation
% 60.42/9.76 % (648781)Time elapsed: 0.283 s
% 60.42/9.76 % (648781)Peak memory usage: 111 MB
% 60.42/9.76 % (648781)Instructions burned: 437 (million)
% 60.42/9.76 % (648771)Instruction limit reached!
% 60.42/9.76 % (648771)------------------------------
% 60.42/9.76 % (648771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.42/9.76 % (648771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.42/9.76 % (648771)CaDiCaL version: 2.1.3
% 60.42/9.76 % (648771)Termination reason: Instruction limit
% 60.42/9.76 % (648771)Termination phase: Saturation
% 60.42/9.76 % (648771)Time elapsed: 0.819 s
% 60.42/9.76 % (648771)Peak memory usage: 239 MB
% 60.42/9.76 % (648771)Instructions burned: 2351 (million)
% 60.42/9.76 % (648780)Instruction limit reached!
% 60.42/9.76 % (648780)------------------------------
% 60.42/9.76 % (648780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.42/9.76 % (648780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.42/9.76 % (648780)CaDiCaL version: 2.1.3
% 60.42/9.76 % (648780)Termination reason: Instruction limit
% 60.42/9.76 % (648780)Termination phase: Saturation
% 60.42/9.76 % (648780)Time elapsed: 0.524 s
% 60.42/9.76 % (648780)Peak memory usage: 124 MB
% 60.42/9.76 % (648780)Instructions burned: 907 (million)
% 60.42/9.76 % (648787)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3084384360:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 60.42/9.76 % (648788)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3462807053:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 60.42/9.76 % (648787)Instruction limit reached!
% 60.42/9.76 % (648787)------------------------------
% 60.42/9.76 % (648787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.42/9.76 % (648787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 60.42/9.76 % (648787)CaDiCaL version: 2.1.3
% 60.42/9.76 % (648787)Termination reason: Instruction limit
% 60.42/9.76 % (648787)Termination phase: Property scanning
% 60.42/9.76 % (648787)Time elapsed: 0.110 s
% 60.42/9.76 % (648787)Peak memory usage: 107 MB
% 60.42/9.76 % (648787)Instructions burned: 135 (million)
% 60.42/9.76 % (648790)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1828527992:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 60.42/9.76 % (648788)Instruction limit reached!
% 60.42/9.76 % (648788)------------------------------
% 60.42/9.76 % (648788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 60.42/9.76 % (648788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.09/13.05 % (648788)CaDiCaL version: 2.1.3
% 84.09/13.05 % (648788)Termination reason: Instruction limit
% 84.09/13.05 % (648788)Termination phase: Property scanning
% 84.09/13.05 % (648788)Time elapsed: 0.236 s
% 84.09/13.05 % (648788)Peak memory usage: 123 MB
% 84.09/13.05 % (648788)Instructions burned: 593 (million)
% 84.09/13.05 % (648792)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=880018393:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 84.09/13.05 % (648792)Instruction limit reached!
% 84.09/13.05 % (648792)------------------------------
% 84.09/13.05 % (648792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.09/13.05 % (648792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.09/13.05 % (648792)CaDiCaL version: 2.1.3
% 84.09/13.05 % (648792)Termination reason: Instruction limit
% 84.09/13.05 % (648792)Termination phase: Property scanning
% 84.09/13.05 % (648792)Time elapsed: 0.056 s
% 84.09/13.05 % (648792)Peak memory usage: 102 MB
% 84.09/13.05 % (648792)Instructions burned: 127 (million)
% 84.09/13.05 % (648794)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1038797581:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 84.09/13.05 % (648794)Instruction limit reached!
% 84.09/13.05 % (648794)------------------------------
% 84.09/13.05 % (648794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.09/13.05 % (648794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.09/13.05 % (648794)CaDiCaL version: 2.1.3
% 84.09/13.05 % (648794)Termination reason: Instruction limit
% 84.09/13.05 % (648794)Termination phase: Property scanning
% 84.09/13.05 % (648794)Time elapsed: 0.032 s
% 84.09/13.05 % (648794)Peak memory usage: 102 MB
% 84.09/13.05 % (648794)Instructions burned: 138 (million)
% 84.09/13.05 % (648796)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=261873249:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 84.09/13.05 % (648798)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3962766213:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 84.09/13.05 % (648796)Refutation not found, incomplete strategy
% 84.09/13.05 % (648796)------------------------------
% 84.09/13.05 % (648796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.09/13.05 % (648796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.09/13.05 % (648796)CaDiCaL version: 2.1.3
% 84.09/13.05 % (648796)Termination reason: Refutation not found, incomplete strategy
% 84.09/13.05 % (648796)Time elapsed: 0.104 s
% 84.09/13.05 % (648796)Peak memory usage: 108 MB
% 84.09/13.05 % (648796)Instructions burned: 136 (million)
% 84.09/13.05 % (648798)Instruction limit reached!
% 84.09/13.05 % (648798)------------------------------
% 84.09/13.05 % (648798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.09/13.05 % (648798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.09/13.05 % (648798)CaDiCaL version: 2.1.3
% 84.09/13.05 % (648798)Termination reason: Instruction limit
% 84.09/13.05 % (648798)Termination phase: Saturation
% 84.09/13.05 % (648798)Time elapsed: 0.154 s
% 84.09/13.05 % (648798)Peak memory usage: 111 MB
% 84.09/13.05 % (648798)Instructions burned: 435 (million)
% 84.09/13.05 % (648801)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=1593078540:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 84.09/13.05 % (648796)------------------------------
% 84.09/13.05 % (648796)------------------------------
% 84.09/13.05 % (648803)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=2356017585:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 84.09/13.05 % (648803)Instruction limit reached!
% 84.09/13.05 % (648803)------------------------------
% 84.09/13.05 % (648803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.09/13.05 % (648803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.09/13.05 % (648803)CaDiCaL version: 2.1.3
% 84.09/13.05 % (648803)Termination reason: Instruction limit
% 84.09/13.05 % (648803)Termination phase: Preprocessing 1
% 84.09/13.05 % (648803)Time elapsed: 0.119 s
% 84.09/13.05 % (648803)Peak memory usage: 103 MB
% 112.48/17.13 % (648803)Instructions burned: 150 (million)
% 112.48/17.13 % (648805)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1807972742:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 112.48/17.13 % (648784)Instruction limit reached!
% 112.48/17.13 % (648784)------------------------------
% 112.48/17.13 % (648784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.48/17.13 % (648784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.48/17.13 % (648784)CaDiCaL version: 2.1.3
% 112.48/17.13 % (648784)Termination reason: Instruction limit
% 112.48/17.13 % (648784)Termination phase: Saturation
% 112.48/17.13 % (648784)Time elapsed: 3.760 s
% 112.48/17.13 % (648784)Peak memory usage: 362 MB
% 112.48/17.13 % (648784)Instructions burned: 5204 (million)
% 112.48/17.13 % (648807)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3513351121:i=667:av=off:fsr=off_2943 on theBenchmark for (2943ds/667Mi)
% 112.48/17.13 % (648801)Instruction limit reached!
% 112.48/17.13 % (648801)------------------------------
% 112.48/17.13 % (648801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.48/17.13 % (648801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.48/17.13 % (648801)CaDiCaL version: 2.1.3
% 112.48/17.13 % (648801)Termination reason: Instruction limit
% 112.48/17.13 % (648801)Termination phase: Saturation
% 112.48/17.13 % (648801)Time elapsed: 2.832 s
% 112.48/17.13 % (648801)Peak memory usage: 510 MB
% 112.48/17.13 % (648801)Instructions burned: 6061 (million)
% 112.48/17.13 % (648809)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=3055887566:s2a=on:i=185:s2at=1.8:fdi=4_2940 on theBenchmark for (2940ds/185Mi)
% 112.48/17.13 % (648809)Instruction limit reached!
% 112.48/17.13 % (648809)------------------------------
% 112.48/17.13 % (648809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.48/17.13 % (648809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.48/17.13 % (648809)CaDiCaL version: 2.1.3
% 112.48/17.13 % (648809)Termination reason: Instruction limit
% 112.48/17.13 % (648809)Termination phase: Preprocessing 1
% 112.48/17.13 % (648809)Time elapsed: 0.084 s
% 112.48/17.13 % (648809)Peak memory usage: 103 MB
% 112.48/17.13 % (648809)Instructions burned: 188 (million)
% 112.48/17.13 % (648811)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3581587896:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2938 on theBenchmark for (2938ds/193Mi)
% 112.48/17.13 % (648807)Instruction limit reached!
% 112.48/17.13 % (648807)------------------------------
% 112.48/17.13 % (648807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.48/17.13 % (648807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.48/17.13 % (648807)CaDiCaL version: 2.1.3
% 112.48/17.13 % (648807)Termination reason: Instruction limit
% 112.48/17.13 % (648807)Termination phase: NewCNF
% 112.48/17.13 % (648807)Time elapsed: 0.491 s
% 112.48/17.13 % (648807)Peak memory usage: 135 MB
% 112.48/17.13 % (648807)Instructions burned: 669 (million)
% 112.48/17.13 % (648811)Instruction limit reached!
% 112.48/17.13 % (648811)------------------------------
% 112.48/17.13 % (648811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.48/17.13 % (648811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.48/17.13 % (648811)CaDiCaL version: 2.1.3
% 112.48/17.13 % (648811)Termination reason: Instruction limit
% 112.48/17.13 % (648811)Termination phase: Naming
% 112.48/17.13 % (648811)Time elapsed: 0.095 s
% 112.48/17.13 % (648811)Peak memory usage: 106 MB
% 112.48/17.13 % (648811)Instructions burned: 193 (million)
% 112.48/17.13 % (648813)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=556716618:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2936 on theBenchmark for (2936ds/4850Mi)
% 112.48/17.13 % (648814)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4178007541:i=12111:sd=1:ss=included_2936 on theBenchmark for (2936ds/12111Mi)
% 112.48/17.13 % (648813)Instruction limit reached!
% 112.48/17.13 % (648813)------------------------------
% 112.48/17.13 % (648813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.48/17.13 % (648813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.48/17.13 % (648813)CaDiCaL version: 2.1.3
% 112.48/17.13 % (648813)Termination reason: Instruction limit
% 143.48/21.40 % (648813)Termination phase: Saturation
% 143.48/21.40 % (648813)Time elapsed: 2.629 s
% 143.48/21.40 % (648813)Peak memory usage: 174 MB
% 143.48/21.40 % (648813)Instructions burned: 4851 (million)
% 143.48/21.40 % (648817)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=287287583:i=319:kws=precedence:fsr=off_2908 on theBenchmark for (2908ds/319Mi)
% 143.48/21.40 % (648817)Instruction limit reached!
% 143.48/21.40 % (648817)------------------------------
% 143.48/21.40 % (648817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.48/21.40 % (648817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.48/21.40 % (648817)CaDiCaL version: 2.1.3
% 143.48/21.40 % (648817)Termination reason: Instruction limit
% 143.48/21.40 % (648817)Termination phase: Preprocessing 3
% 143.48/21.40 % (648817)Time elapsed: 0.224 s
% 143.48/21.40 % (648817)Peak memory usage: 122 MB
% 143.48/21.40 % (648817)Instructions burned: 320 (million)
% 143.48/21.40 % (648819)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2515544146:i=2064:ep=RST_2904 on theBenchmark for (2904ds/2064Mi)
% 143.48/21.40 % (648790)Instruction limit reached!
% 143.48/21.40 % (648790)------------------------------
% 143.48/21.40 % (648790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.48/21.40 % (648790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.48/21.40 % (648790)CaDiCaL version: 2.1.3
% 143.48/21.40 % (648790)Termination reason: Instruction limit
% 143.48/21.40 % (648790)Termination phase: Saturation
% 143.48/21.40 % (648790)Time elapsed: 8.106 s
% 143.48/21.40 % (648790)Peak memory usage: 291 MB
% 143.48/21.40 % (648790)Instructions burned: 13193 (million)
% 143.48/21.40 % (648819)Instruction limit reached!
% 143.48/21.40 % (648819)------------------------------
% 143.48/21.40 % (648819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.48/21.40 % (648819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.48/21.40 % (648819)CaDiCaL version: 2.1.3
% 143.48/21.40 % (648819)Termination reason: Instruction limit
% 143.48/21.40 % (648819)Termination phase: Saturation
% 143.48/21.40 % (648819)Time elapsed: 0.986 s
% 143.48/21.40 % (648819)Peak memory usage: 147 MB
% 143.48/21.40 % (648819)Instructions burned: 2066 (million)
% 143.48/21.40 % (648821)dis-1011_128_sil=32000:random_seed=34577728:i=3706:ep=RST:av=off_2894 on theBenchmark for (2894ds/3706Mi)
% 143.48/21.40 % (648822)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2809158553:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2893 on theBenchmark for (2893ds/757Mi)
% 143.48/21.40 % (648814)Instruction limit reached!
% 143.48/21.40 % (648814)------------------------------
% 143.48/21.40 % (648814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.48/21.40 % (648814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.48/21.40 % (648814)CaDiCaL version: 2.1.3
% 143.48/21.40 % (648814)Termination reason: Instruction limit
% 143.48/21.40 % (648814)Termination phase: Saturation
% 143.48/21.40 % (648814)Time elapsed: 4.809 s
% 143.48/21.40 % (648814)Peak memory usage: 233 MB
% 143.48/21.40 % (648814)Instructions burned: 12111 (million)
% 143.48/21.40 % (648822)Instruction limit reached!
% 143.48/21.40 % (648822)------------------------------
% 143.48/21.40 % (648822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.48/21.40 % (648822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.48/21.40 % (648822)CaDiCaL version: 2.1.3
% 143.48/21.40 % (648822)Termination reason: Instruction limit
% 143.48/21.40 % (648822)Termination phase: Saturation
% 143.48/21.40 % (648822)Time elapsed: 0.536 s
% 143.48/21.40 % (648822)Peak memory usage: 117 MB
% 143.48/21.40 % (648822)Instructions burned: 758 (million)
% 143.48/21.40 % (648825)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3126383854:i=13913:ss=axioms:sgt=8_2886 on theBenchmark for (2886ds/13913Mi)
% 143.48/21.40 % (648826)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2500424052:i=9925:aac=none_2886 on theBenchmark for (2886ds/9925Mi)
% 143.48/21.40 % (648805)Instruction limit reached!
% 143.48/21.40 % (648805)------------------------------
% 143.48/21.40 % (648805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.48/21.40 % (648805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.48/21.40 % (648805)CaDiCaL version: 2.1.3
% 143.48/21.40 % (648805)Termination reason: Instruction limit
% 143.48/21.40 % (648805)Termination phase: Saturation
% 143.48/21.40 % (648805)Time elapsed: 8.796 s
% 173.29/25.68 % (648805)Peak memory usage: 510 MB
% 173.29/25.68 % (648805)Instructions burned: 14155 (million)
% 173.29/25.68 % (648829)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=573308274:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2875 on theBenchmark for (2875ds/2479Mi)
% 173.29/25.68 % (648821)Instruction limit reached!
% 173.29/25.68 % (648821)------------------------------
% 173.29/25.68 % (648821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.29/25.68 % (648821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.29/25.68 % (648821)CaDiCaL version: 2.1.3
% 173.29/25.68 % (648821)Termination reason: Instruction limit
% 173.29/25.68 % (648821)Termination phase: Saturation
% 173.29/25.68 % (648821)Time elapsed: 1.997 s
% 173.29/25.68 % (648821)Peak memory usage: 164 MB
% 173.29/25.68 % (648821)Instructions burned: 3708 (million)
% 173.29/25.68 % (648831)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3192811211:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2873 on theBenchmark for (2873ds/440Mi)
% 173.29/25.68 % (648831)Instruction limit reached!
% 173.29/25.68 % (648831)------------------------------
% 173.29/25.68 % (648831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.29/25.68 % (648831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.29/25.68 % (648831)CaDiCaL version: 2.1.3
% 173.29/25.68 % (648831)Termination reason: Instruction limit
% 173.29/25.68 % (648831)Termination phase: Preprocessing 1
% 173.29/25.68 % (648831)Time elapsed: 0.193 s
% 173.29/25.68 % (648831)Peak memory usage: 103 MB
% 173.29/25.68 % (648831)Instructions burned: 440 (million)
% 173.29/25.68 % (648833)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3773297680:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2869 on theBenchmark for (2869ds/11145Mi)
% 173.29/25.68 % (648829)Instruction limit reached!
% 173.29/25.68 % (648829)------------------------------
% 173.29/25.68 % (648829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.29/25.68 % (648829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.29/25.68 % (648829)CaDiCaL version: 2.1.3
% 173.29/25.68 % (648829)Termination reason: Instruction limit
% 173.29/25.68 % (648829)Termination phase: Saturation
% 173.29/25.68 % (648829)Time elapsed: 1.455 s
% 173.29/25.68 % (648829)Peak memory usage: 126 MB
% 173.29/25.68 % (648829)Instructions burned: 2480 (million)
% 173.29/25.68 % (648835)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=2496722796:cts=off:i=3034:av=off:er=known:fsd=on_2859 on theBenchmark for (2859ds/3034Mi)
% 173.29/25.68 % (648825)Instruction limit reached!
% 173.29/25.68 % (648825)------------------------------
% 173.29/25.68 % (648825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.29/25.68 % (648825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.29/25.68 % (648825)CaDiCaL version: 2.1.3
% 173.29/25.68 % (648825)Termination reason: Instruction limit
% 173.29/25.68 % (648825)Termination phase: Saturation
% 173.29/25.68 % (648825)Time elapsed: 4.628 s
% 173.29/25.68 % (648825)Peak memory usage: 263 MB
% 173.29/25.68 % (648825)Instructions burned: 13915 (million)
% 173.29/25.68 % (648837)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2287849250:st=2:s2a=on:i=524:s2at=2:ss=axioms_2839 on theBenchmark for (2839ds/524Mi)
% 173.29/25.68 % (648837)Instruction limit reached!
% 173.29/25.68 % (648837)------------------------------
% 173.29/25.68 % (648837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.29/25.68 % (648837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.29/25.68 % (648837)CaDiCaL version: 2.1.3
% 173.29/25.68 % (648837)Termination reason: Instruction limit
% 173.29/25.68 % (648837)Termination phase: Preprocessing 3
% 173.29/25.68 % (648837)Time elapsed: 0.231 s
% 173.29/25.68 % (648837)Peak memory usage: 118 MB
% 173.29/25.68 % (648837)Instructions burned: 526 (million)
% 173.29/25.68 % (648835)Instruction limit reached!
% 173.29/25.68 % (648835)------------------------------
% 173.29/25.68 % (648835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.29/25.68 % (648835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.29/25.68 % (648835)CaDiCaL version: 2.1.3
% 173.29/25.68 % (648835)Termination reason: Instruction limit
% 173.29/25.68 % (648835)Termination phase: Saturation
% 173.29/25.68 % (648835)Time elapsed: 2.230 s
% 173.29/25.68 % (648835)Peak memory usage: 442 MB
% 173.29/25.68 % (648835)Instructions burned: 3037 (million)
% 206.66/30.33 % (648839)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1383166271:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2835 on theBenchmark for (2835ds/1016Mi)
% 206.66/30.33 % (648840)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=729338696:i=14123:bd=preordered:ins=4_2834 on theBenchmark for (2834ds/14123Mi)
% 206.66/30.33 % (648839)Instruction limit reached!
% 206.66/30.33 % (648839)------------------------------
% 206.66/30.33 % (648839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.66/30.33 % (648839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.66/30.33 % (648839)CaDiCaL version: 2.1.3
% 206.66/30.33 % (648839)Termination reason: Instruction limit
% 206.66/30.33 % (648839)Termination phase: Saturation
% 206.66/30.33 % (648839)Time elapsed: 0.323 s
% 206.66/30.33 % (648839)Peak memory usage: 114 MB
% 206.66/30.33 % (648839)Instructions burned: 1020 (million)
% 206.66/30.33 % (648843)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1291778276:i=5781:kws=precedence:bd=all:rawr=on_2831 on theBenchmark for (2831ds/5781Mi)
% 206.66/30.33 % (648826)Instruction limit reached!
% 206.66/30.33 % (648826)------------------------------
% 206.66/30.33 % (648826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.66/30.33 % (648826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.66/30.33 % (648826)CaDiCaL version: 2.1.3
% 206.66/30.33 % (648826)Termination reason: Instruction limit
% 206.66/30.33 % (648826)Termination phase: Saturation
% 206.66/30.33 % (648826)Time elapsed: 6.262 s
% 206.66/30.33 % (648826)Peak memory usage: 487 MB
% 206.66/30.33 % (648826)Instructions burned: 9926 (million)
% 206.66/30.33 % (648845)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=377556724:i=2448:gtgl=5:bd=preordered:gtg=all_2821 on theBenchmark for (2821ds/2448Mi)
% 206.66/30.33 % (648843)Instruction limit reached!
% 206.66/30.33 % (648843)------------------------------
% 206.66/30.33 % (648843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.66/30.33 % (648843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.66/30.33 % (648843)CaDiCaL version: 2.1.3
% 206.66/30.33 % (648843)Termination reason: Instruction limit
% 206.66/30.33 % (648843)Termination phase: Saturation
% 206.66/30.33 % (648843)Time elapsed: 1.574 s
% 206.66/30.33 % (648843)Peak memory usage: 163 MB
% 206.66/30.33 % (648843)Instructions burned: 5784 (million)
% 206.66/30.33 % (648847)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3330129557:i=3223:kws=precedence:fgj=on:av=off_2814 on theBenchmark for (2814ds/3223Mi)
% 206.66/30.33 % (648845)Instruction limit reached!
% 206.66/30.33 % (648845)------------------------------
% 206.66/30.33 % (648845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.66/30.33 % (648845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.66/30.33 % (648845)CaDiCaL version: 2.1.3
% 206.66/30.33 % (648845)Termination reason: Instruction limit
% 206.66/30.33 % (648845)Termination phase: Saturation
% 206.66/30.33 % (648845)Time elapsed: 1.310 s
% 206.66/30.33 % (648845)Peak memory usage: 157 MB
% 206.66/30.33 % (648845)Instructions burned: 2448 (million)
% 206.66/30.33 % (648849)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3654581168:st=5.6:i=2033:sd=3:ss=axioms_2806 on theBenchmark for (2806ds/2033Mi)
% 206.66/30.33 % (648847)Instruction limit reached!
% 206.66/30.33 % (648847)------------------------------
% 206.66/30.33 % (648847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.66/30.33 % (648847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.66/30.33 % (648847)CaDiCaL version: 2.1.3
% 206.66/30.33 % (648847)Termination reason: Instruction limit
% 206.66/30.33 % (648847)Termination phase: Saturation
% 206.66/30.33 % (648847)Time elapsed: 1.414 s
% 206.66/30.33 % (648847)Peak memory usage: 479 MB
% 206.66/30.33 % (648847)Instructions burned: 3224 (million)
% 206.66/30.33 % (648851)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1143708936:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2798 on theBenchmark for (2798ds/2055Mi)
% 206.66/30.33 % (648833)Instruction limit reached!
% 206.66/30.33 % (648833)------------------------------
% 206.66/30.33 % (648833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648833)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648833)Termination reason: Instruction limit
% 204.40/31.49 % (648833)Termination phase: Saturation
% 204.40/31.49 % (648833)Time elapsed: 7.513 s
% 204.40/31.49 % (648833)Peak memory usage: 238 MB
% 204.40/31.49 % (648833)Instructions burned: 11146 (million)
% 204.40/31.49 % (648853)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=3938120017:i=21611:sd=3:ss=axioms_2792 on theBenchmark for (2792ds/21611Mi)
% 204.40/31.49 % (648849)Instruction limit reached!
% 204.40/31.49 % (648849)------------------------------
% 204.40/31.49 % (648849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648849)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648849)Termination reason: Instruction limit
% 204.40/31.49 % (648849)Termination phase: Saturation
% 204.40/31.49 % (648849)Time elapsed: 1.510 s
% 204.40/31.49 % (648849)Peak memory usage: 305 MB
% 204.40/31.49 % (648849)Instructions burned: 2033 (million)
% 204.40/31.49 % (648851)Instruction limit reached!
% 204.40/31.49 % (648851)------------------------------
% 204.40/31.49 % (648851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648851)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648851)Termination reason: Instruction limit
% 204.40/31.49 % (648851)Termination phase: Saturation
% 204.40/31.49 % (648851)Time elapsed: 0.770 s
% 204.40/31.49 % (648851)Peak memory usage: 222 MB
% 204.40/31.49 % (648851)Instructions burned: 2056 (million)
% 204.40/31.49 % (648855)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1212468434:i=4835:sd=13:ss=axioms:sgt=23_2789 on theBenchmark for (2789ds/4835Mi)
% 204.40/31.49 % (648856)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=562731555:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2789 on theBenchmark for (2789ds/797Mi)
% 204.40/31.49 % (648856)Instruction limit reached!
% 204.40/31.49 % (648856)------------------------------
% 204.40/31.49 % (648856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648856)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648856)Termination reason: Instruction limit
% 204.40/31.49 % (648856)Termination phase: NewCNF
% 204.40/31.49 % (648856)Time elapsed: 0.341 s
% 204.40/31.49 % (648856)Peak memory usage: 129 MB
% 204.40/31.49 % (648856)Instructions burned: 797 (million)
% 204.40/31.49 % (648859)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3899279883:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2784 on theBenchmark for (2784ds/2326Mi)
% 204.40/31.49 % (648859)Instruction limit reached!
% 204.40/31.49 % (648859)------------------------------
% 204.40/31.49 % (648859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648859)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648859)Termination reason: Instruction limit
% 204.40/31.49 % (648859)Termination phase: Saturation
% 204.40/31.49 % (648859)Time elapsed: 0.659 s
% 204.40/31.49 % (648859)Peak memory usage: 153 MB
% 204.40/31.49 % (648859)Instructions burned: 2330 (million)
% 204.40/31.49 % (648861)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=1421554508:i=6038:nm=6_2776 on theBenchmark for (2776ds/6038Mi)
% 204.40/31.49 % (648855)Instruction limit reached!
% 204.40/31.49 % (648855)------------------------------
% 204.40/31.49 % (648855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648855)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648855)Termination reason: Instruction limit
% 204.40/31.49 % (648855)Termination phase: Saturation
% 204.40/31.49 % (648855)Time elapsed: 2.743 s
% 204.40/31.49 % (648855)Peak memory usage: 187 MB
% 204.40/31.49 % (648855)Instructions burned: 4837 (million)
% 204.40/31.49 % (648863)lrs+10_1_sil=32000:sp=occurrence:random_seed=1013110953:st=2:i=33334:sd=3:ss=included:sgt=32_2760 on theBenchmark for (2760ds/33334Mi)
% 204.40/31.49 % (648861)Instruction limit reached!
% 204.40/31.49 % (648861)------------------------------
% 204.40/31.49 % (648861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648861)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648861)Termination reason: Instruction limit
% 204.40/31.49 % (648861)Termination phase: Saturation
% 204.40/31.49 % (648861)Time elapsed: 2.537 s
% 204.40/31.49 % (648861)Peak memory usage: 461 MB
% 204.40/31.49 % (648861)Instructions burned: 6039 (million)
% 204.40/31.49 % (648865)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2224875111:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2749 on theBenchmark for (2749ds/1008Mi)
% 204.40/31.49 % (648840)Instruction limit reached!
% 204.40/31.49 % (648840)------------------------------
% 204.40/31.49 % (648840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648840)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648840)Termination reason: Instruction limit
% 204.40/31.49 % (648840)Termination phase: Saturation
% 204.40/31.49 % (648840)Time elapsed: 8.610 s
% 204.40/31.49 % (648840)Peak memory usage: 446 MB
% 204.40/31.49 % (648840)Instructions burned: 14123 (million)
% 204.40/31.49 % (648867)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=716718907:i=8327:s2at=5:bd=preordered_2746 on theBenchmark for (2746ds/8327Mi)
% 204.40/31.49 % (648865)Instruction limit reached!
% 204.40/31.49 % (648865)------------------------------
% 204.40/31.49 % (648865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648865)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648865)Termination reason: Instruction limit
% 204.40/31.49 % (648865)Termination phase: Saturation
% 204.40/31.49 % (648865)Time elapsed: 0.338 s
% 204.40/31.49 % (648865)Peak memory usage: 123 MB
% 204.40/31.49 % (648865)Instructions burned: 1009 (million)
% 204.40/31.49 % (648869)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=3941412322:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2744 on theBenchmark for (2744ds/1083Mi)
% 204.40/31.49 % (648869)Instruction limit reached!
% 204.40/31.49 % (648869)------------------------------
% 204.40/31.49 % (648869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648869)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648869)Termination reason: Instruction limit
% 204.40/31.49 % (648869)Termination phase: Property scanning
% 204.40/31.49 % (648869)Time elapsed: 0.366 s
% 204.40/31.49 % (648869)Peak memory usage: 134 MB
% 204.40/31.49 % (648869)Instructions burned: 1087 (million)
% 204.40/31.49 % (648871)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1921660732:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2739 on theBenchmark for (2739ds/1084Mi)
% 204.40/31.49 % (648871)Instruction limit reached!
% 204.40/31.49 % (648871)------------------------------
% 204.40/31.49 % (648871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648871)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648871)Termination reason: Instruction limit
% 204.40/31.49 % (648871)Termination phase: Saturation
% 204.40/31.49 % (648871)Time elapsed: 0.344 s
% 204.40/31.49 % (648871)Peak memory usage: 116 MB
% 204.40/31.49 % (648871)Instructions burned: 1087 (million)
% 204.40/31.49 % (648873)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=2610156341:i=6995:s2at=5:gtg=all_2735 on theBenchmark for (2735ds/6995Mi)
% 204.40/31.49 % (648873)Instruction limit reached!
% 204.40/31.49 % (648873)------------------------------
% 204.40/31.49 % (648873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.40/31.49 % (648873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.40/31.49 % (648873)CaDiCaL version: 2.1.3
% 204.40/31.49 % (648873)Termination reason: Instruction limit
% 204.40/31.49 % (648873)Termination phase: Saturation
% 204.40/31.49 % (648873)Time elapsed: 3.063 s
% 204.40/31.49 % (648873)Peak memory usage: 538 MB
% 204.40/31.49 % (648873)Instructions burned: 6999 (million)
% 204.40/31.49 % (648875)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=500666263:st=2:i=6225:sd=15:ss=axioms_2703 on theBenchmark for (2703ds/6225Mi)
% 204.40/31.49 % (648853)First to succeed.
% 204.40/31.49 % (648853)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-648743"
% 204.40/31.49 % (648853)Refutation found. Thanks to Tanya!
% 204.40/31.49 % SZS status Theorem for theBenchmark
% 204.40/31.49 % SZS output start Proof for theBenchmark
% See solution above
% 214.79/31.70 % (648853)------------------------------
% 214.79/31.70 % (648853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 214.79/31.70 % (648853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 214.79/31.70 % (648853)CaDiCaL version: 2.1.3
% 214.79/31.70 % (648853)Termination reason: Refutation
% 214.79/31.70 % (648853)Time elapsed: 9.301 s
% 214.79/31.70 % (648853)Peak memory usage: 240 MB
% 214.79/31.70 % (648853)Instructions burned: 15508 (million)
% 214.79/31.70 % (648853)------------------------------
% 214.79/31.70 % (648853)------------------------------
% 214.79/31.70 % (648743)Success in time 30.831 s
% 214.92/31.70 % Vampire exiting
%------------------------------------------------------------------------------