%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP040+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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:34:02 PM UTC 2026
% Result : Theorem 226.99s 41.20s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 83
% Syntax : Number of formulae : 878 ( 120 unt; 41 def)
% Number of atoms : 4369 ( 418 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 6491 (3000 ~;3203 |; 163 &)
% ( 45 <=>; 80 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 33 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 13 con; 0-4 aty)
% Number of variables : 825 ( 0 sgn 808 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
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(f88,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X0,X2) )
=> r1_tarski(X0,k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f514,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_subset_1) ).
fof(f525,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_subset_1) ).
fof(f571,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f572,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) = k5_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k5_subset_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(f575,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k6_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_subset_1) ).
fof(f576,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k6_subset_1(X0,X1,X2) = k4_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
fof(f602,axiom,
! [X0,X1] : k1_setfam_1(k2_tarski(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_setfam_1) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
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(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(f4464,axiom,
! [X0,X1] : k3_card_3(k2_card_3(k2_funcop_1(X0,X1))) = k2_zfmisc_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_card_3) ).
fof(f6831,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_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(f10607,axiom,
! [X0] : k1_pcomps_1(X0) = k1_zfmisc_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f13309,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(X1,k3_tex_4(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_tex_4) ).
fof(f13314,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> r1_tarski(k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_tex_4) ).
fof(f13332,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_tex_4) ).
fof(f13336,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X1,X0)
| v4_pre_topc(X2,X0) )
=> k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t66_tex_4) ).
fof(f13368,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_tex_4) ).
fof(f13426,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( v4_pre_topc(X2,X0)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v4_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_tsp_1) ).
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(f13469,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(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f13470,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) )
=> k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_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(f13518,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)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = X3
=> k5_pre_topc(X0,X1,X2,X4) = k3_tex_4(X0,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l37_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(f13527,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 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X3 = u1_struct_0(X1)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(f13528,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,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)) = k3_tex_4(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_tsp_2) ).
fof(f13529,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,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_tsp_2) ).
fof(f13532,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,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X2,X0)
| v4_pre_topc(X3,X0) )
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k5_subset_1(u1_struct_0(X0),X2,X3)) = k5_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_tsp_2) ).
fof(f13533,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,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X2,X0)
| v4_pre_topc(X3,X0) )
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k5_subset_1(u1_struct_0(X0),X2,X3)) = k5_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13532]) ).
fof(f13902,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f88]) ).
fof(f13903,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(flattening,[],[f13902]) ).
fof(f14094,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f514]) ).
fof(f14107,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f525]) ).
fof(f14178,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f571]) ).
fof(f14179,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f14178]) ).
fof(f14180,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f572]) ).
fof(f14181,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f14180]) ).
fof(f14184,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(f14185,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,[],[f14184]) ).
fof(f14186,plain,
! [X0,X1,X2] :
( m1_subset_1(k6_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f575]) ).
fof(f14187,plain,
! [X0,X1,X2] :
( m1_subset_1(k6_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f14186]) ).
fof(f14188,plain,
! [X0,X1,X2] :
( k6_subset_1(X0,X1,X2) = k4_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f576]) ).
fof(f14189,plain,
! [X0,X1,X2] :
( k6_subset_1(X0,X1,X2) = k4_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f14188]) ).
fof(f14463,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(f14464,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,[],[f14463]) ).
fof(f14692,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(f14693,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,[],[f14692]) ).
fof(f14982,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(f15040,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(f21623,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6831]) ).
fof(f21653,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6850]) ).
fof(f21660,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(f21661,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,[],[f21660]) ).
fof(f21662,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(f21663,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,[],[f21662]) ).
fof(f21666,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(f21667,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,[],[f21666]) ).
fof(f31809,plain,
! [X0] :
( ! [X1] :
( r1_tarski(X1,k3_tex_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13309]) ).
fof(f31810,plain,
! [X0] :
( ! [X1] :
( r1_tarski(X1,k3_tex_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f31809]) ).
fof(f31819,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13314]) ).
fof(f31820,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f31819]) ).
fof(f31855,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13332]) ).
fof(f31856,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f31855]) ).
fof(f31863,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2))
| ( ~ v4_pre_topc(X1,X0)
& ~ v4_pre_topc(X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13336]) ).
fof(f31864,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2))
| ( ~ v4_pre_topc(X1,X0)
& ~ v4_pre_topc(X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f31863]) ).
fof(f31927,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f13368]) ).
fof(f31928,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f31927]) ).
fof(f32028,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v4_pre_topc(X2,X0)
| ? [X3] :
( v4_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13426]) ).
fof(f32029,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v4_pre_topc(X2,X0)
| ? [X3] :
( v4_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f32028]) ).
fof(f32091,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13459]) ).
fof(f32093,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13461]) ).
fof(f32108,plain,
! [X0,X1] :
( ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_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,[],[f13469]) ).
fof(f32109,plain,
! [X0,X1] :
( ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_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,[],[f32108]) ).
fof(f32110,plain,
! [X0,X1] :
( k4_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,[],[f13470]) ).
fof(f32111,plain,
! [X0,X1] :
( k4_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,[],[f32110]) ).
fof(f32148,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(f32149,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,[],[f32148]) ).
fof(f32194,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(f32195,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,[],[f32194]) ).
fof(f32206,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,X4) = k3_tex_4(X0,X3)
| X3 != X4
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ 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,[],[f13518]) ).
fof(f32207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,X4) = k3_tex_4(X0,X3)
| X3 != X4
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ 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,[],[f32206]) ).
fof(f32208,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(f32209,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,[],[f32208]) ).
fof(f32224,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ 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,[],[f13527]) ).
fof(f32225,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ 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,[],[f32224]) ).
fof(f32226,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)) = k3_tex_4(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f13528]) ).
fof(f32227,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)) = k3_tex_4(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f32226]) ).
fof(f32228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f13529]) ).
fof(f32229,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f32228]) ).
fof(f32234,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k5_subset_1(u1_struct_0(X0),X2,X3)) != k5_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3))
& ( v4_pre_topc(X2,X0)
| v4_pre_topc(X3,X0) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(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,[],[f13533]) ).
fof(f32235,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k5_subset_1(u1_struct_0(X0),X2,X3)) != k5_subset_1(u1_struct_0(X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X3))
& ( v4_pre_topc(X2,X0)
| v4_pre_topc(X3,X0) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,k1_zfmisc_1(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,[],[f32234]) ).
fof(f33289,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(f33290,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,[],[f33289]) ).
fof(f33415,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_tarski(X1,X2)
| ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
& ( r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| ~ r1_tarski(X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f14094]) ).
fof(f33495,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f33839,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(f40756,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v4_pre_topc(X2,X0)
| ( v4_pre_topc(sK4777(X1,X2),X1)
& k3_xboole_0(X2,u1_struct_0(X1)) = sK4777(X1,X2)
& m1_subset_1(sK4777(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4777]),skolemize(X3,sK4777(X1,X2))],[f32029]) ).
fof(f40828,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,[],[f32093]) ).
fof(f40878,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(sK4839(X0,X1))
& v1_funct_2(sK4839(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK4839(X0,X1),X0,X1)
& m2_relset_1(sK4839(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(sK4839(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,[sK4839]),skolemize(X2,sK4839(X0,X1))],[f32195]) ).
fof(f40879,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,[],[f32209]) ).
fof(f40886,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_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,[],[f32225]) ).
fof(f40887,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_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,[],[f40886]) ).
fof(f40888,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ( k5_subset_1(u1_struct_0(X0),sK4843(X0,X1,X2),k3_tex_4(X0,sK4844(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK4844(X0,X1,X2))
& m1_subset_1(sK4844(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK4843(X0,X1,X2)
& m1_subset_1(sK4843(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_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,[sK4843,sK4844]),skolemize(X3,sK4843(X0,X1,X2)),skolemize(X4,sK4844(X0,X1,X2))],[f40887]) ).
fof(f40889,plain,
( k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),k5_subset_1(u1_struct_0(sK4845),sK4847,sK4848)) != k5_subset_1(u1_struct_0(sK4846),k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),sK4847),k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),sK4848))
& ( v4_pre_topc(sK4847,sK4845)
| v4_pre_topc(sK4848,sK4845) )
& m1_subset_1(sK4848,k1_zfmisc_1(u1_struct_0(sK4845)))
& m1_subset_1(sK4847,k1_zfmisc_1(u1_struct_0(sK4845)))
& ~ v3_struct_0(sK4846)
& v2_tsp_2(sK4846,sK4845)
& m2_tsp_1(sK4846,sK4845)
& ~ v3_struct_0(sK4845)
& v2_pre_topc(sK4845)
& l1_pre_topc(sK4845) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4845,sK4846,sK4847,sK4848]),skolemize(X0,sK4845),skolemize(X1,sK4846),skolemize(X2,sK4847),skolemize(X3,sK4848)],[f32235]) ).
fof(f40983,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f33290]) ).
fof(f41050,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f13903]) ).
fof(f41082,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f41591,plain,
! [X2,X0,X1] :
( r1_tarski(X1,X2)
| ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f33415]) ).
fof(f41603,plain,
! [X2,X0,X1] :
( r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14107]) ).
fof(f41675,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14179]) ).
fof(f41676,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14181]) ).
fof(f41678,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,[],[f14185]) ).
fof(f41679,plain,
! [X2,X0,X1] :
( m1_subset_1(k6_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14187]) ).
fof(f41680,plain,
! [X2,X0,X1] :
( k4_xboole_0(X1,X2) = k6_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14189]) ).
fof(f41717,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k1_setfam_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f602]) ).
fof(f41815,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f33495]) ).
fof(f42058,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,[],[f14464]) ).
fof(f42363,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,[],[f14693]) ).
fof(f42841,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f14982]) ).
fof(f42921,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,[],[f15040]) ).
fof(f42923,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f33839]) ).
fof(f49214,plain,
! [X0,X1] : k2_zfmisc_1(X1,X0) = k3_card_3(k2_card_3(k2_funcop_1(X0,X1))),
inference(cnf_transformation,[],[f4464]) ).
fof(f54106,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f21623]) ).
fof(f54158,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f21653]) ).
fof(f54165,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,[],[f21661]) ).
fof(f54166,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k9_relat_1(X2,X3) = k4_pre_topc(X0,X1,X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f21663]) ).
fof(f54168,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X3) = k5_pre_topc(X0,X1,X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f21667]) ).
fof(f61185,plain,
! [X0] : k1_zfmisc_1(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f10607]) ).
fof(f68465,plain,
! [X0,X1] :
( r1_tarski(X1,k3_tex_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f31810]) ).
fof(f68472,plain,
! [X2,X0,X1] :
( r1_tarski(k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f31820]) ).
fof(f68529,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f31856]) ).
fof(f68533,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2))
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f31864]) ).
fof(f68585,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f31928]) ).
fof(f68788,plain,
! [X2,X0,X1] :
( ~ v4_pre_topc(X2,X0)
| k3_xboole_0(X2,u1_struct_0(X1)) = sK4777(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f40756]) ).
fof(f68979,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f32091]) ).
fof(f68981,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f40828]) ).
fof(f68982,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f40828]) ).
fof(f69001,plain,
! [X0,X1] :
( m2_relset_1(k4_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,[],[f32109]) ).
fof(f69002,plain,
! [X0,X1] :
( v5_pre_topc(k4_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,[],[f32109]) ).
fof(f69003,plain,
! [X0,X1] :
( v1_funct_2(k4_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,[],[f32109]) ).
fof(f69004,plain,
! [X0,X1] :
( v1_funct_1(k4_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,[],[f32109]) ).
fof(f69005,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| k1_tsp_2(X0,X1) = k4_tsp_2(X0,X1)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f32111]) ).
fof(f69057,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,[],[f32149]) ).
fof(f69137,plain,
! [X0,X1] :
( v3_borsuk_1(sK4839(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,[],[f40878]) ).
fof(f69138,plain,
! [X0,X1] :
( m2_relset_1(sK4839(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,[],[f40878]) ).
fof(f69139,plain,
! [X0,X1] :
( v5_pre_topc(sK4839(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,[],[f40878]) ).
fof(f69140,plain,
! [X0,X1] :
( v1_funct_2(sK4839(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,[],[f40878]) ).
fof(f69141,plain,
! [X0,X1] :
( v1_funct_1(sK4839(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,[],[f40878]) ).
fof(f69147,plain,
! [X2,X3,X0,X1,X4] :
( k5_pre_topc(X0,X1,X2,X4) = k3_tex_4(X0,X3)
| X3 != X4
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ 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,[],[f32207]) ).
fof(f69149,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,[],[f40879]) ).
fof(f69163,plain,
! [X2,X0,X1,X6,X5] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| k4_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,[],[f40888]) ).
fof(f69168,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,X2) = k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f32227]) ).
fof(f69169,plain,
! [X2,X0,X1] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(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,[],[f32229]) ).
fof(f69173,plain,
l1_pre_topc(sK4845),
inference(cnf_transformation,[],[f40889]) ).
fof(f69174,plain,
v2_pre_topc(sK4845),
inference(cnf_transformation,[],[f40889]) ).
fof(f69175,plain,
~ v3_struct_0(sK4845),
inference(cnf_transformation,[],[f40889]) ).
fof(f69176,plain,
m2_tsp_1(sK4846,sK4845),
inference(cnf_transformation,[],[f40889]) ).
fof(f69177,plain,
v2_tsp_2(sK4846,sK4845),
inference(cnf_transformation,[],[f40889]) ).
fof(f69178,plain,
~ v3_struct_0(sK4846),
inference(cnf_transformation,[],[f40889]) ).
fof(f69179,plain,
m1_subset_1(sK4847,k1_zfmisc_1(u1_struct_0(sK4845))),
inference(cnf_transformation,[],[f40889]) ).
fof(f69180,plain,
m1_subset_1(sK4848,k1_zfmisc_1(u1_struct_0(sK4845))),
inference(cnf_transformation,[],[f40889]) ).
fof(f69181,plain,
( v4_pre_topc(sK4847,sK4845)
| v4_pre_topc(sK4848,sK4845) ),
inference(cnf_transformation,[],[f40889]) ).
fof(f69182,plain,
k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),k5_subset_1(u1_struct_0(sK4845),sK4847,sK4848)) != k5_subset_1(u1_struct_0(sK4846),k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),sK4847),k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),sK4848)),
inference(cnf_transformation,[],[f40889]) ).
fof(f69292,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(definition_unfolding,[],[f41050,f41082]) ).
fof(f69691,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_pcomps_1(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f41591,f61185,f61185]) ).
fof(f69704,plain,
! [X2,X0,X1] :
( r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2)))
| ~ m1_subset_1(X2,k1_pcomps_1(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f41603,f61185,f61185]) ).
fof(f69753,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_pcomps_1(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(X0))
| ~ m1_subset_1(X2,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f41675,f61185,f61185,f61185]) ).
fof(f69754,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_pcomps_1(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(definition_unfolding,[],[f41676,f61185,f61185]) ).
fof(f69756,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2))
| ~ m1_subset_1(X1,k1_pcomps_1(X0))
| ~ m1_subset_1(X2,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f41678,f41082,f61185,f61185]) ).
fof(f69757,plain,
! [X2,X0,X1] :
( m1_subset_1(k6_subset_1(X0,X1,X2),k1_pcomps_1(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(X0))
| ~ m1_subset_1(X2,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f41679,f61185,f61185,f61185]) ).
fof(f69758,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_pcomps_1(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(X0))
| k4_xboole_0(X1,X2) = k6_subset_1(X0,X1,X2) ),
inference(definition_unfolding,[],[f41680,f61185,f61185]) ).
fof(f69781,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f41717,f41082]) ).
fof(f69838,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(X1))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f41815,f61185]) ).
fof(f70086,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| k9_relat_1(X2,k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(X2,X1)))) = k4_xboole_0(k9_relat_1(X2,X0),k4_xboole_0(k9_relat_1(X2,X0),X1)) ),
inference(definition_unfolding,[],[f42363,f41082,f41082]) ).
fof(f70224,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_pcomps_1(k3_card_3(k2_card_3(k2_funcop_1(X1,X0)))))
| v1_relat_1(X2) ),
inference(definition_unfolding,[],[f42841,f61185,f49214]) ).
fof(f70266,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_pcomps_1(k3_card_3(k2_card_3(k2_funcop_1(X1,X0)))))
| ~ m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f42921,f61185,f49214]) ).
fof(f74916,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_pcomps_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_pcomps_1(u1_struct_0(X1)))
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f54106,f61185,f61185]) ).
fof(f74960,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_pcomps_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(definition_unfolding,[],[f54165,f61185]) ).
fof(f78765,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_pcomps_1(u1_struct_0(X0)))
| r1_tarski(X1,k3_tex_4(X0,X1))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f68465,f61185]) ).
fof(f78772,plain,
! [X2,X0,X1] :
( r1_tarski(k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)),k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2)))
| ~ m1_subset_1(X2,k1_pcomps_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_pcomps_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f68472,f61185,f61185]) ).
fof(f78809,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_pcomps_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| k3_tex_4(X0,X1) = X1
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f68529,f61185]) ).
fof(f78814,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_pcomps_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X2,X0)
| k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = k5_subset_1(u1_struct_0(X0),k3_tex_4(X0,X1),k3_tex_4(X0,X2))
| ~ m1_subset_1(X1,k1_pcomps_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f68533,f61185,f61185]) ).
fof(f78839,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_pcomps_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_pcomps_1(u1_struct_0(X0))) ),
inference(definition_unfolding,[],[f68585,f61185,f61185]) ).
fof(f78914,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_pcomps_1(u1_struct_0(X0)))
| sK4777(X1,X2) = k4_xboole_0(X2,k4_xboole_0(X2,u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f68788,f41082,f61185]) ).
fof(f79037,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),k1_pcomps_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f69057,f61185]) ).
fof(f79070,plain,
! [X2,X3,X0,X1,X4] :
( k5_pre_topc(X0,X1,X2,X4) = k3_tex_4(X0,X3)
| X3 != X4
| ~ m1_subset_1(X4,k1_pcomps_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_pcomps_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(definition_unfolding,[],[f69147,f61185,f61185]) ).
fof(f79076,plain,
! [X2,X0,X1,X6,X5] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_pcomps_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_pcomps_1(u1_struct_0(X0)))
| k4_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(definition_unfolding,[],[f69163,f61185,f61185]) ).
fof(f79077,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_pcomps_1(u1_struct_0(X0)))
| k3_tex_4(X0,X2) = k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2))
| 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(definition_unfolding,[],[f69168,f61185]) ).
fof(f79078,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_pcomps_1(u1_struct_0(X0)))
| k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2))
| 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(definition_unfolding,[],[f69169,f61185]) ).
fof(f79082,plain,
m1_subset_1(sK4848,k1_pcomps_1(u1_struct_0(sK4845))),
inference(definition_unfolding,[],[f69180,f61185]) ).
fof(f79083,plain,
m1_subset_1(sK4847,k1_pcomps_1(u1_struct_0(sK4845))),
inference(definition_unfolding,[],[f69179,f61185]) ).
fof(f81652,plain,
! [X2,X0,X1,X4] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X4,k1_pcomps_1(u1_struct_0(X1)))
| ~ m1_subset_1(X4,k1_pcomps_1(u1_struct_0(X0)))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k5_pre_topc(X0,X1,X2,X4) = k3_tex_4(X0,X4)
| ~ 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,[],[f79070]) ).
fof(f81660,plain,
! [X2,X0,X1,X6] :
( k4_pre_topc(X0,X1,X2,X6) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6))
| ~ m1_subset_1(X6,k1_pcomps_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_pcomps_1(u1_struct_0(X0)))
| k4_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(equality_resolution,[],[f79076]) ).
fof(f81661,plain,
! [X0,X1,X6] :
( ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X6,k1_pcomps_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_pcomps_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X6)
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k4_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,[],[f81660]) ).
fof(f81662,definition,
sF4849 = k4_tsp_2(sK4845,sK4846),
introduced(definition,[new_symbols(definition,[sF4849])],[function_definition]) ).
fof(f81663,plain,
k4_tsp_2(sK4845,sK4846) = sF4849,
inference(reorient_equations,[],[f81662]) ).
fof(f81664,definition,
sF4850 = u1_struct_0(sK4845),
introduced(definition,[new_symbols(definition,[sF4850])],[function_definition]) ).
fof(f81665,plain,
u1_struct_0(sK4845) = sF4850,
inference(reorient_equations,[],[f81664]) ).
fof(f81666,definition,
sF4851 = k5_subset_1(sF4850,sK4847,sK4848),
introduced(definition,[new_symbols(definition,[sF4851])],[function_definition]) ).
fof(f81667,plain,
k5_subset_1(sF4850,sK4847,sK4848) = sF4851,
inference(reorient_equations,[],[f81666]) ).
fof(f81668,definition,
sF4852 = k4_pre_topc(sK4845,sK4846,sF4849,sF4851),
introduced(definition,[new_symbols(definition,[sF4852])],[function_definition]) ).
fof(f81669,plain,
k4_pre_topc(sK4845,sK4846,sF4849,sF4851) = sF4852,
inference(reorient_equations,[],[f81668]) ).
fof(f81670,definition,
sF4853 = u1_struct_0(sK4846),
introduced(definition,[new_symbols(definition,[sF4853])],[function_definition]) ).
fof(f81671,plain,
u1_struct_0(sK4846) = sF4853,
inference(reorient_equations,[],[f81670]) ).
fof(f81672,definition,
sF4854 = k4_pre_topc(sK4845,sK4846,sF4849,sK4847),
introduced(definition,[new_symbols(definition,[sF4854])],[function_definition]) ).
fof(f81673,plain,
k4_pre_topc(sK4845,sK4846,sF4849,sK4847) = sF4854,
inference(reorient_equations,[],[f81672]) ).
fof(f81674,definition,
sF4855 = k4_pre_topc(sK4845,sK4846,sF4849,sK4848),
introduced(definition,[new_symbols(definition,[sF4855])],[function_definition]) ).
fof(f81675,plain,
k4_pre_topc(sK4845,sK4846,sF4849,sK4848) = sF4855,
inference(reorient_equations,[],[f81674]) ).
fof(f81676,definition,
sF4856 = k5_subset_1(sF4853,sF4854,sF4855),
introduced(definition,[new_symbols(definition,[sF4856])],[function_definition]) ).
fof(f81677,plain,
k5_subset_1(sF4853,sF4854,sF4855) = sF4856,
inference(reorient_equations,[],[f81676]) ).
fof(f81678,plain,
sF4852 != sF4856,
inference(definition_folding,[],[f69182,f81677,f81675,f81663,f81673,f81663,f81671,f81669,f81667,f81665,f81663]) ).
fof(f81679,definition,
sF4857 = k1_pcomps_1(sF4850),
introduced(definition,[new_symbols(definition,[sF4857])],[function_definition]) ).
fof(f81680,plain,
k1_pcomps_1(sF4850) = sF4857,
inference(reorient_equations,[],[f81679]) ).
fof(f81681,plain,
m1_subset_1(sK4848,sF4857),
inference(definition_folding,[],[f79082,f81680,f81665]) ).
fof(f81682,plain,
m1_subset_1(sK4847,sF4857),
inference(definition_folding,[],[f79083,f81680,f81665]) ).
fof(f81894,definition,
( spl4858_1
<=> v4_pre_topc(sK4848,sK4845) ),
introduced(definition,[new_symbols(definition,[spl4858_1])],[avatar_definition]) ).
fof(f81896,plain,
( v4_pre_topc(sK4848,sK4845)
| ~ spl4858_1 ),
inference(avatar_component_clause,[],[f81894]) ).
fof(f81898,definition,
( spl4858_2
<=> v4_pre_topc(sK4847,sK4845) ),
introduced(definition,[new_symbols(definition,[spl4858_2])],[avatar_definition]) ).
fof(f81900,plain,
( v4_pre_topc(sK4847,sK4845)
| ~ spl4858_2 ),
inference(avatar_component_clause,[],[f81898]) ).
fof(f81901,plain,
( spl4858_1
| spl4858_2 ),
inference(avatar_split_clause,[],[f69181,f81898,f81894]) ).
fof(f88232,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_pcomps_1(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(X0))
| k5_subset_1(X0,X1,X2) = k1_setfam_1(k2_tarski(X1,X2)) ),
inference(forward_demodulation,[],[f69756,f69781]) ).
fof(f88498,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k1_setfam_1(k2_tarski(X1,X2)))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(forward_demodulation,[],[f69292,f69781]) ).
fof(f93502,plain,
! [X0] :
( m1_subset_1(sF4853,k1_pcomps_1(u1_struct_0(X0)))
| ~ m2_tsp_1(sK4846,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f79037,f81671]) ).
fof(f93503,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_pcomps_1(sF4850))
| ~ m2_tsp_1(X0,sK4845)
| v3_struct_0(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f79037,f81665]) ).
fof(f93506,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_pcomps_1(sF4850))
| ~ m2_tsp_1(X0,sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f93503,f69175]) ).
fof(f93510,definition,
( spl4858_1163
<=> l1_pre_topc(sK4846) ),
introduced(definition,[new_symbols(definition,[spl4858_1163])],[avatar_definition]) ).
fof(f93511,plain,
( l1_pre_topc(sK4846)
| ~ spl4858_1163 ),
inference(avatar_component_clause,[],[f93510]) ).
fof(f93512,plain,
( ~ l1_pre_topc(sK4846)
| spl4858_1163 ),
inference(avatar_component_clause,[],[f93510]) ).
fof(f93517,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_pcomps_1(sF4850))
| ~ m2_tsp_1(X0,sK4845) ),
inference(forward_subsumption_resolution,[],[f93506,f69173]) ).
fof(f93518,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),sF4857)
| ~ m2_tsp_1(X0,sK4845) ),
inference(forward_demodulation,[],[f93517,f81680]) ).
fof(f93523,plain,
( m1_subset_1(sF4852,k1_pcomps_1(u1_struct_0(sK4846)))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(superposition,[],[f74960,f81669]) ).
fof(f93524,plain,
( m1_subset_1(sF4854,k1_pcomps_1(u1_struct_0(sK4846)))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(superposition,[],[f74960,f81673]) ).
fof(f93525,plain,
( m1_subset_1(sF4855,k1_pcomps_1(u1_struct_0(sK4846)))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(superposition,[],[f74960,f81675]) ).
fof(f93527,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,sK4846,X1,X2),k1_pcomps_1(sF4853))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF4853)
| ~ m1_relset_1(X1,u1_struct_0(X0),sF4853) ),
inference(superposition,[],[f74960,f81671]) ).
fof(f93529,definition,
( spl4858_1165
<=> l1_struct_0(sK4846) ),
introduced(definition,[new_symbols(definition,[spl4858_1165])],[avatar_definition]) ).
fof(f93530,plain,
( l1_struct_0(sK4846)
| ~ spl4858_1165 ),
inference(avatar_component_clause,[],[f93529]) ).
fof(f93531,plain,
( ~ l1_struct_0(sK4846)
| spl4858_1165 ),
inference(avatar_component_clause,[],[f93529]) ).
fof(f93533,definition,
( spl4858_1166
<=> ! [X2,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,sK4846,X1,X2),k1_pcomps_1(sF4853))
| ~ m1_relset_1(X1,u1_struct_0(X0),sF4853)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF4853)
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4858_1166])],[avatar_definition]) ).
fof(f93534,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,sK4846,X1,X2),k1_pcomps_1(sF4853))
| ~ m1_relset_1(X1,u1_struct_0(X0),sF4853)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF4853)
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl4858_1166 ),
inference(avatar_component_clause,[],[f93533]) ).
fof(f93535,plain,
( ~ spl4858_1165
| spl4858_1166 ),
inference(avatar_split_clause,[],[f93527,f93533,f93529]) ).
fof(f93537,plain,
( m1_subset_1(sF4855,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93525,f81671]) ).
fof(f93538,plain,
( m1_subset_1(sF4854,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93524,f81671]) ).
fof(f93539,plain,
( m1_subset_1(sF4852,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93523,f81671]) ).
fof(f93541,definition,
( spl4858_1167
<=> l1_struct_0(sK4845) ),
introduced(definition,[new_symbols(definition,[spl4858_1167])],[avatar_definition]) ).
fof(f93542,plain,
( l1_struct_0(sK4845)
| ~ spl4858_1167 ),
inference(avatar_component_clause,[],[f93541]) ).
fof(f93543,plain,
( ~ l1_struct_0(sK4845)
| spl4858_1167 ),
inference(avatar_component_clause,[],[f93541]) ).
fof(f93548,plain,
( ~ v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853)
| m1_subset_1(sF4855,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93537,f81671]) ).
fof(f93549,plain,
( ~ v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853)
| m1_subset_1(sF4854,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93538,f81671]) ).
fof(f93550,plain,
( ~ v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853)
| m1_subset_1(sF4852,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93539,f81671]) ).
fof(f93551,plain,
( ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4855,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93548,f81665]) ).
fof(f93552,plain,
( ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4854,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93549,f81665]) ).
fof(f93553,plain,
( ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4852,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849)
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)) ),
inference(forward_demodulation,[],[f93550,f81665]) ).
fof(f93554,plain,
( ~ m1_relset_1(sF4849,u1_struct_0(sK4845),sF4853)
| ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4855,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849) ),
inference(forward_demodulation,[],[f93551,f81671]) ).
fof(f93555,plain,
( ~ m1_relset_1(sF4849,u1_struct_0(sK4845),sF4853)
| ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4854,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849) ),
inference(forward_demodulation,[],[f93552,f81671]) ).
fof(f93556,plain,
( ~ m1_relset_1(sF4849,u1_struct_0(sK4845),sF4853)
| ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4852,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849) ),
inference(forward_demodulation,[],[f93553,f81671]) ).
fof(f93557,plain,
( ~ m1_relset_1(sF4849,sF4850,sF4853)
| ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4855,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849) ),
inference(forward_demodulation,[],[f93554,f81665]) ).
fof(f93558,plain,
( ~ m1_relset_1(sF4849,sF4850,sF4853)
| ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4854,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849) ),
inference(forward_demodulation,[],[f93555,f81665]) ).
fof(f93559,plain,
( ~ m1_relset_1(sF4849,sF4850,sF4853)
| ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(sF4852,k1_pcomps_1(sF4853))
| ~ l1_struct_0(sK4845)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(sF4849) ),
inference(forward_demodulation,[],[f93556,f81665]) ).
fof(f93561,definition,
( spl4858_1169
<=> v1_funct_1(sF4849) ),
introduced(definition,[new_symbols(definition,[spl4858_1169])],[avatar_definition]) ).
fof(f93562,plain,
( v1_funct_1(sF4849)
| ~ spl4858_1169 ),
inference(avatar_component_clause,[],[f93561]) ).
fof(f93563,plain,
( ~ v1_funct_1(sF4849)
| spl4858_1169 ),
inference(avatar_component_clause,[],[f93561]) ).
fof(f93565,definition,
( spl4858_1170
<=> m1_subset_1(sF4855,k1_pcomps_1(sF4853)) ),
introduced(definition,[new_symbols(definition,[spl4858_1170])],[avatar_definition]) ).
fof(f93567,plain,
( m1_subset_1(sF4855,k1_pcomps_1(sF4853))
| ~ spl4858_1170 ),
inference(avatar_component_clause,[],[f93565]) ).
fof(f93569,definition,
( spl4858_1171
<=> v1_funct_2(sF4849,sF4850,sF4853) ),
introduced(definition,[new_symbols(definition,[spl4858_1171])],[avatar_definition]) ).
fof(f93570,plain,
( v1_funct_2(sF4849,sF4850,sF4853)
| ~ spl4858_1171 ),
inference(avatar_component_clause,[],[f93569]) ).
fof(f93573,definition,
( spl4858_1172
<=> m1_relset_1(sF4849,sF4850,sF4853) ),
introduced(definition,[new_symbols(definition,[spl4858_1172])],[avatar_definition]) ).
fof(f93574,plain,
( m1_relset_1(sF4849,sF4850,sF4853)
| ~ spl4858_1172 ),
inference(avatar_component_clause,[],[f93573]) ).
fof(f93575,plain,
( ~ m1_relset_1(sF4849,sF4850,sF4853)
| spl4858_1172 ),
inference(avatar_component_clause,[],[f93573]) ).
fof(f93576,plain,
( ~ spl4858_1169
| ~ spl4858_1165
| ~ spl4858_1167
| spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(avatar_split_clause,[],[f93557,f93573,f93569,f93565,f93541,f93529,f93561]) ).
fof(f93578,definition,
( spl4858_1173
<=> m1_subset_1(sF4854,k1_pcomps_1(sF4853)) ),
introduced(definition,[new_symbols(definition,[spl4858_1173])],[avatar_definition]) ).
fof(f93580,plain,
( m1_subset_1(sF4854,k1_pcomps_1(sF4853))
| ~ spl4858_1173 ),
inference(avatar_component_clause,[],[f93578]) ).
fof(f93581,plain,
( ~ spl4858_1169
| ~ spl4858_1165
| ~ spl4858_1167
| spl4858_1173
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(avatar_split_clause,[],[f93558,f93573,f93569,f93578,f93541,f93529,f93561]) ).
fof(f93583,definition,
( spl4858_1174
<=> m1_subset_1(sF4852,k1_pcomps_1(sF4853)) ),
introduced(definition,[new_symbols(definition,[spl4858_1174])],[avatar_definition]) ).
fof(f93585,plain,
( m1_subset_1(sF4852,k1_pcomps_1(sF4853))
| ~ spl4858_1174 ),
inference(avatar_component_clause,[],[f93583]) ).
fof(f93586,plain,
( ~ spl4858_1169
| ~ spl4858_1165
| ~ spl4858_1167
| spl4858_1174
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(avatar_split_clause,[],[f93559,f93573,f93569,f93583,f93541,f93529,f93561]) ).
fof(f93589,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF4857)
| ~ m1_subset_1(X0,sF4857)
| k1_setfam_1(k2_tarski(X1,X0)) = k5_subset_1(sF4850,X1,X0) ),
inference(superposition,[],[f88232,f81680]) ).
fof(f93590,plain,
! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k1_setfam_1(k2_tarski(sK4848,X0)) = k5_subset_1(sF4850,sK4848,X0) ),
inference(resolution,[],[f93589,f81681]) ).
fof(f93591,plain,
! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k1_setfam_1(k2_tarski(sK4847,X0)) = k5_subset_1(sF4850,sK4847,X0) ),
inference(resolution,[],[f93589,f81682]) ).
fof(f93593,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ m1_subset_1(u1_struct_0(X0),k1_pcomps_1(sF4850))
| ~ v1_funct_1(k4_tsp_2(sK4845,X0))
| k4_pre_topc(sK4845,X0,k4_tsp_2(sK4845,X0),X1) = k5_subset_1(sF4850,u1_struct_0(X0),k3_tex_4(sK4845,X1))
| ~ v5_pre_topc(k4_tsp_2(sK4845,X0),sK4845,X0)
| ~ m2_relset_1(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4845)
| ~ m2_tsp_1(X0,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f81661,f81665]) ).
fof(f93599,plain,
k5_subset_1(sF4850,sK4847,sK4848) = k1_setfam_1(k2_tarski(sK4847,sK4848)),
inference(resolution,[],[f93591,f81681]) ).
fof(f93602,plain,
sF4851 = k1_setfam_1(k2_tarski(sK4847,sK4848)),
inference(forward_demodulation,[],[f93599,f81667]) ).
fof(f93604,plain,
k1_setfam_1(k2_tarski(sK4848,sK4847)) = k5_subset_1(sF4850,sK4848,sK4847),
inference(resolution,[],[f93590,f81682]) ).
fof(f93608,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF4857)
| ~ m1_subset_1(X0,sF4857)
| k5_subset_1(sF4850,X1,X0) = k5_subset_1(sF4850,X0,X1) ),
inference(superposition,[],[f69754,f81680]) ).
fof(f93611,plain,
( m1_subset_1(sF4856,k1_pcomps_1(sF4853))
| ~ m1_subset_1(sF4854,k1_pcomps_1(sF4853))
| ~ m1_subset_1(sF4855,k1_pcomps_1(sF4853)) ),
inference(superposition,[],[f69753,f81677]) ).
fof(f93612,plain,
( m1_subset_1(sF4851,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850)) ),
inference(superposition,[],[f69753,f81667]) ).
fof(f93613,plain,
! [X0,X1] :
( m1_subset_1(k5_subset_1(sF4850,X0,X1),sF4857)
| ~ m1_subset_1(X0,sF4857)
| ~ m1_subset_1(X1,sF4857) ),
inference(superposition,[],[f69753,f81680]) ).
fof(f93614,plain,
( m1_subset_1(sF4851,sF4857)
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f93612,f81680]) ).
fof(f93616,definition,
( spl4858_1175
<=> m1_subset_1(sF4856,k1_pcomps_1(sF4853)) ),
introduced(definition,[new_symbols(definition,[spl4858_1175])],[avatar_definition]) ).
fof(f93618,plain,
( m1_subset_1(sF4856,k1_pcomps_1(sF4853))
| ~ spl4858_1175 ),
inference(avatar_component_clause,[],[f93616]) ).
fof(f93619,plain,
( ~ spl4858_1170
| ~ spl4858_1173
| spl4858_1175 ),
inference(avatar_split_clause,[],[f93611,f93616,f93578,f93565]) ).
fof(f93620,plain,
( ~ m1_subset_1(sK4847,sF4857)
| m1_subset_1(sF4851,sF4857)
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f93614,f81680]) ).
fof(f93621,plain,
( m1_subset_1(sF4851,sF4857)
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850)) ),
inference(forward_subsumption_resolution,[],[f93620,f81682]) ).
fof(f93622,plain,
( ~ m1_subset_1(sK4848,sF4857)
| m1_subset_1(sF4851,sF4857) ),
inference(forward_demodulation,[],[f93621,f81680]) ).
fof(f93623,plain,
m1_subset_1(sF4851,sF4857),
inference(forward_subsumption_resolution,[],[f93622,f81681]) ).
fof(f93649,plain,
( m1_subset_1(sF4853,k1_pcomps_1(sF4850))
| ~ m2_tsp_1(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f93502,f81665]) ).
fof(f93651,plain,
( m1_subset_1(sF4853,k1_pcomps_1(sF4850))
| v3_struct_0(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f93649,f69176]) ).
fof(f93652,plain,
( m1_subset_1(sF4853,k1_pcomps_1(sF4850))
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f93651,f69175]) ).
fof(f93653,plain,
m1_subset_1(sF4853,k1_pcomps_1(sF4850)),
inference(forward_subsumption_resolution,[],[f93652,f69173]) ).
fof(f93654,plain,
m1_subset_1(sF4853,sF4857),
inference(forward_demodulation,[],[f93653,f81680]) ).
fof(f93656,plain,
k1_setfam_1(k2_tarski(sK4847,sF4853)) = k5_subset_1(sF4850,sK4847,sF4853),
inference(resolution,[],[f93654,f93591]) ).
fof(f93657,plain,
! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k1_setfam_1(k2_tarski(sF4853,X0)) = k5_subset_1(sF4850,sF4853,X0) ),
inference(resolution,[],[f93654,f93589]) ).
fof(f93661,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF4853)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(sK4846)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X2) = k4_pre_topc(X1,sK4846,X0,X2)
| ~ m1_relset_1(X0,u1_struct_0(X1),sF4853) ),
inference(superposition,[],[f54166,f81671]) ).
fof(f93662,plain,
( v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| k4_tsp_2(sK4845,sK4846) = k1_tsp_2(sK4845,sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(resolution,[],[f69005,f69177]) ).
fof(f93665,plain,
( v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(superposition,[],[f69003,f81663]) ).
fof(f93671,plain,
( l1_pre_topc(sK4846)
| ~ l1_pre_topc(sK4845) ),
inference(resolution,[],[f68979,f69176]) ).
fof(f93672,plain,
( ~ l1_pre_topc(sK4845)
| spl4858_1163 ),
inference(forward_subsumption_resolution,[],[f93671,f93512]) ).
fof(f93673,plain,
( $false
| spl4858_1163 ),
inference(forward_subsumption_resolution,[],[f93672,f69173]) ).
fof(f93674,plain,
spl4858_1163,
inference(avatar_contradiction_clause,[],[f93673]) ).
fof(f93697,plain,
( m2_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(superposition,[],[f69001,f81663]) ).
fof(f93704,plain,
! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k5_subset_1(sF4850,sK4847,X0) = k5_subset_1(sF4850,X0,sK4847) ),
inference(resolution,[],[f93608,f81682]) ).
fof(f93705,plain,
! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k5_subset_1(sF4850,sK4848,X0) = k5_subset_1(sF4850,X0,sK4848) ),
inference(resolution,[],[f93608,f81681]) ).
fof(f93717,plain,
k1_setfam_1(k2_tarski(sF4853,sK4847)) = k5_subset_1(sF4850,sF4853,sK4847),
inference(resolution,[],[f93657,f81682]) ).
fof(f93722,plain,
l1_struct_0(sK4845),
inference(resolution,[],[f54158,f69173]) ).
fof(f93723,plain,
( l1_struct_0(sK4846)
| ~ spl4858_1163 ),
inference(resolution,[],[f54158,f93511]) ).
fof(f93724,plain,
( $false
| ~ spl4858_1163
| spl4858_1165 ),
inference(forward_subsumption_resolution,[],[f93723,f93531]) ).
fof(f93725,plain,
( ~ spl4858_1163
| spl4858_1165 ),
inference(avatar_contradiction_clause,[],[f93724]) ).
fof(f93726,plain,
( $false
| spl4858_1167 ),
inference(forward_subsumption_resolution,[],[f93722,f93543]) ).
fof(f93727,plain,
spl4858_1167,
inference(avatar_contradiction_clause,[],[f93726]) ).
fof(f93731,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF4853)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X2) = k4_pre_topc(X1,sK4846,X0,X2)
| ~ m1_relset_1(X0,u1_struct_0(X1),sF4853) )
| ~ spl4858_1165 ),
inference(forward_subsumption_resolution,[],[f93661,f93530]) ).
fof(f93757,plain,
( v1_funct_1(sF4849)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(superposition,[],[f69004,f81663]) ).
fof(f93759,plain,
k5_subset_1(sF4850,sK4847,sK4848) = k5_subset_1(sF4850,sK4848,sK4847),
inference(resolution,[],[f93705,f81682]) ).
fof(f93765,plain,
k5_subset_1(sF4850,sK4847,sK4848) = k1_setfam_1(k2_tarski(sK4848,sK4847)),
inference(forward_demodulation,[],[f93759,f93604]) ).
fof(f93768,plain,
sF4851 = k1_setfam_1(k2_tarski(sK4848,sK4847)),
inference(forward_demodulation,[],[f93765,f81667]) ).
fof(f93769,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK4845)
| k5_subset_1(sF4850,sK4847,u1_struct_0(X0)) = k5_subset_1(sF4850,u1_struct_0(X0),sK4847) ),
inference(resolution,[],[f93704,f93518]) ).
fof(f93780,plain,
( m1_pre_topc(sK4846,sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(resolution,[],[f68981,f69176]) ).
fof(f93781,plain,
m1_pre_topc(sK4846,sK4845),
inference(forward_subsumption_resolution,[],[f93780,f69173]) ).
fof(f93782,plain,
( v5_pre_topc(sF4849,sK4845,sK4846)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(superposition,[],[f69002,f81663]) ).
fof(f93809,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0) = k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k3_tex_4(sK4845,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4845)
| ~ m2_tsp_1(X1,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f79078,f81665]) ).
fof(f93864,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF4850,sF4853)
| ~ l1_struct_0(sK4845)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X1) = k4_pre_topc(sK4845,sK4846,X0,X1)
| ~ m1_relset_1(X0,sF4850,sF4853) )
| ~ spl4858_1165 ),
inference(superposition,[],[f93731,f81665]) ).
fof(f93867,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF4850,sF4853)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X1) = k4_pre_topc(sK4845,sK4846,X0,X1)
| ~ m1_relset_1(X0,sF4850,sF4853) )
| ~ spl4858_1165
| ~ spl4858_1167 ),
inference(forward_subsumption_resolution,[],[f93864,f93542]) ).
fof(f93890,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,X0) = X0
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f78809,f81665]) ).
fof(f93905,plain,
! [X0,X1] :
( m1_relset_1(k4_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(resolution,[],[f42923,f69001]) ).
fof(f93954,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK4845,X0),k1_pcomps_1(sF4850))
| v3_struct_0(sK4845)
| ~ l1_pre_topc(sK4845)
| ~ m1_subset_1(X0,k1_pcomps_1(sF4850)) ),
inference(superposition,[],[f78839,f81665]) ).
fof(f93963,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK4845,X0),k1_pcomps_1(sF4850))
| ~ l1_pre_topc(sK4845)
| ~ m1_subset_1(X0,k1_pcomps_1(sF4850)) ),
inference(forward_subsumption_resolution,[],[f93954,f69175]) ).
fof(f93965,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK4845,X0),k1_pcomps_1(sF4850))
| ~ m1_subset_1(X0,k1_pcomps_1(sF4850)) ),
inference(forward_subsumption_resolution,[],[f93963,f69173]) ).
fof(f93966,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK4845,X0),sF4857)
| ~ m1_subset_1(X0,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f93965,f81680]) ).
fof(f93967,plain,
! [X0] :
( m1_subset_1(k3_tex_4(sK4845,X0),sF4857)
| ~ m1_subset_1(X0,sF4857) ),
inference(forward_demodulation,[],[f93966,f81680]) ).
fof(f93983,plain,
! [X0,X1] :
( ~ v3_borsuk_1(sK4839(X0,X1),X0,X1)
| ~ v1_funct_1(sK4839(X0,X1))
| k1_tsp_2(X0,X1) = sK4839(X0,X1)
| ~ v5_pre_topc(sK4839(X0,X1),X0,X1)
| ~ m2_relset_1(sK4839(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,[],[f69149,f69140]) ).
fof(f93988,plain,
! [X0,X1] :
( ~ v3_borsuk_1(sK4839(X0,X1),X0,X1)
| ~ v1_funct_1(sK4839(X0,X1))
| k1_tsp_2(X0,X1) = sK4839(X0,X1)
| ~ v5_pre_topc(sK4839(X0,X1),X0,X1)
| ~ m2_relset_1(sK4839(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,[],[f93983]) ).
fof(f94205,plain,
( r1_tarski(k3_subset_1(sF4850,sK4848),k3_subset_1(sF4850,k1_setfam_1(k2_tarski(sK4848,sK4847))))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850)) ),
inference(superposition,[],[f69704,f93604]) ).
fof(f94208,plain,
( r1_tarski(k3_subset_1(sF4850,sK4847),k3_subset_1(sF4850,sF4851))
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850)) ),
inference(superposition,[],[f69704,f81667]) ).
fof(f94227,plain,
( ~ m1_subset_1(sK4848,sF4857)
| r1_tarski(k3_subset_1(sF4850,sK4847),k3_subset_1(sF4850,sF4851))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f94208,f81680]) ).
fof(f94230,plain,
( r1_tarski(k3_subset_1(sF4850,sK4848),k3_subset_1(sF4850,sF4851))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f94205,f93768]) ).
fof(f94237,plain,
( r1_tarski(k3_subset_1(sF4850,sK4847),k3_subset_1(sF4850,sF4851))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850)) ),
inference(forward_subsumption_resolution,[],[f94227,f81681]) ).
fof(f94240,plain,
( ~ m1_subset_1(sK4847,sF4857)
| r1_tarski(k3_subset_1(sF4850,sK4848),k3_subset_1(sF4850,sF4851))
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f94230,f81680]) ).
fof(f94247,plain,
( ~ m1_subset_1(sK4847,sF4857)
| r1_tarski(k3_subset_1(sF4850,sK4847),k3_subset_1(sF4850,sF4851)) ),
inference(forward_demodulation,[],[f94237,f81680]) ).
fof(f94250,plain,
( r1_tarski(k3_subset_1(sF4850,sK4848),k3_subset_1(sF4850,sF4851))
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850)) ),
inference(forward_subsumption_resolution,[],[f94240,f81682]) ).
fof(f94257,plain,
r1_tarski(k3_subset_1(sF4850,sK4847),k3_subset_1(sF4850,sF4851)),
inference(forward_subsumption_resolution,[],[f94247,f81682]) ).
fof(f94260,plain,
( ~ m1_subset_1(sK4848,sF4857)
| r1_tarski(k3_subset_1(sF4850,sK4848),k3_subset_1(sF4850,sF4851)) ),
inference(forward_demodulation,[],[f94250,f81680]) ).
fof(f94261,plain,
r1_tarski(k3_subset_1(sF4850,sK4848),k3_subset_1(sF4850,sF4851)),
inference(forward_subsumption_resolution,[],[f94260,f81681]) ).
fof(f94386,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4845)
| ~ m2_tsp_1(X1,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f79077,f81665]) ).
fof(f94814,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = sK4777(X1,X0)
| ~ v4_pre_topc(X0,sK4845)
| ~ m2_tsp_1(X1,sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f78914,f81665]) ).
fof(f94822,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = sK4777(X1,X0)
| ~ v4_pre_topc(X0,sK4845)
| ~ m2_tsp_1(X1,sK4845) ),
inference(forward_subsumption_resolution,[],[f94814,f69173]) ).
fof(f94833,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF4857)
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = sK4777(X1,X0)
| ~ v4_pre_topc(X0,sK4845)
| ~ m2_tsp_1(X1,sK4845) ),
inference(forward_demodulation,[],[f94822,f81680]) ).
fof(f94836,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,sK4845)
| ~ m1_subset_1(X0,sF4857)
| ~ v4_pre_topc(X0,sK4845)
| k1_setfam_1(k2_tarski(X0,u1_struct_0(X1))) = sK4777(X1,X0) ),
inference(forward_demodulation,[],[f94833,f69781]) ).
fof(f94837,plain,
! [X0] :
( ~ m1_subset_1(X0,sF4857)
| ~ v4_pre_topc(X0,sK4845)
| k1_setfam_1(k2_tarski(X0,u1_struct_0(sK4846))) = sK4777(sK4846,X0) ),
inference(resolution,[],[f94836,f69176]) ).
fof(f94838,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK4845)
| ~ m1_subset_1(X0,sF4857)
| k1_setfam_1(k2_tarski(X0,sF4853)) = sK4777(sK4846,X0) ),
inference(forward_demodulation,[],[f94837,f81671]) ).
fof(f94839,plain,
( ~ m1_subset_1(sK4847,sF4857)
| k1_setfam_1(k2_tarski(sK4847,sF4853)) = sK4777(sK4846,sK4847)
| ~ spl4858_2 ),
inference(resolution,[],[f94838,f81900]) ).
fof(f94843,plain,
( k1_setfam_1(k2_tarski(sK4847,sF4853)) = sK4777(sK4846,sK4847)
| ~ spl4858_2 ),
inference(forward_subsumption_resolution,[],[f94839,f81682]) ).
fof(f94891,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f70266,f70224]) ).
fof(f95027,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| r1_tarski(X0,k3_tex_4(sK4845,X0))
| v3_struct_0(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f78765,f81665]) ).
fof(f95036,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| r1_tarski(X0,k3_tex_4(sK4845,X0))
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f95027,f69175]) ).
fof(f95040,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| r1_tarski(X0,k3_tex_4(sK4845,X0)) ),
inference(forward_subsumption_resolution,[],[f95036,f69173]) ).
fof(f95041,plain,
! [X0] :
( r1_tarski(X0,k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X0,sF4857) ),
inference(forward_demodulation,[],[f95040,f81680]) ).
fof(f95398,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X1,X0)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X1),k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f78814,f81665]) ).
fof(f95613,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| k10_relat_1(k4_tsp_2(X0,X1),X2) = k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)
| ~ m1_relset_1(k4_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(resolution,[],[f54168,f69003]) ).
fof(f96036,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF4857)
| ~ m1_subset_1(X0,sF4857)
| k4_xboole_0(X1,X0) = k6_subset_1(sF4850,X1,X0) ),
inference(superposition,[],[f69758,f81680]) ).
fof(f96043,plain,
! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k4_xboole_0(sK4847,X0) = k6_subset_1(sF4850,sK4847,X0) ),
inference(resolution,[],[f96036,f81682]) ).
fof(f96066,plain,
k4_xboole_0(sK4847,sF4853) = k6_subset_1(sF4850,sK4847,sF4853),
inference(resolution,[],[f96043,f93654]) ).
fof(f96461,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X2)))
| ~ v3_borsuk_1(k4_tsp_2(X2,X1),X2,X1)
| ~ v1_funct_1(k4_tsp_2(X2,X1))
| k3_tex_4(X2,X0) = k5_pre_topc(X2,X1,k4_tsp_2(X2,X1),X0)
| ~ v5_pre_topc(k4_tsp_2(X2,X1),X2,X1)
| ~ m2_relset_1(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X2)
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X2)
| ~ m1_pre_topc(X1,X2) ),
inference(resolution,[],[f81652,f69003]) ).
fof(f96472,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X2)))
| ~ v3_borsuk_1(k4_tsp_2(X2,X1),X2,X1)
| ~ v1_funct_1(k4_tsp_2(X2,X1))
| k3_tex_4(X2,X0) = k5_pre_topc(X2,X1,k4_tsp_2(X2,X1),X0)
| ~ v5_pre_topc(k4_tsp_2(X2,X1),X2,X1)
| ~ m2_relset_1(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X2)
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2) ),
inference(duplicate_literal_removal,[],[f96461]) ).
fof(f96474,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X1)))
| ~ v3_borsuk_1(k4_tsp_2(X2,X1),X2,X1)
| ~ v1_funct_1(k4_tsp_2(X2,X1))
| k3_tex_4(X2,X0) = k5_pre_topc(X2,X1,k4_tsp_2(X2,X1),X0)
| ~ v5_pre_topc(k4_tsp_2(X2,X1),X2,X1)
| ~ m2_relset_1(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X2)
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2) ),
inference(forward_subsumption_resolution,[],[f96472,f74916]) ).
fof(f96932,plain,
( ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| k4_tsp_2(sK4845,sK4846) = k1_tsp_2(sK4845,sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f93662,f69175]) ).
fof(f96937,plain,
( v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f93665,f69175]) ).
fof(f96953,plain,
( v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845)
| spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f93757,f93563]) ).
fof(f96954,plain,
( v5_pre_topc(sF4849,sK4845,sK4846)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f93782,f69175]) ).
fof(f96956,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0) = k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k3_tex_4(sK4845,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4845)
| ~ m2_tsp_1(X1,sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f93809,f69175]) ).
fof(f96965,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,X0) = X0
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f93890,f69175]) ).
fof(f96988,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4845)
| ~ m2_tsp_1(X1,sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f94386,f69175]) ).
fof(f97051,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X1,X0)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X1),k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f95398,f69175]) ).
fof(f97094,plain,
( ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| k4_tsp_2(sK4845,sK4846) = k1_tsp_2(sK4845,sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f96932,f69174]) ).
fof(f97097,plain,
( v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f96937,f69174]) ).
fof(f97108,plain,
( v5_pre_topc(sF4849,sK4845,sK4846)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f96954,f69174]) ).
fof(f97110,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0) = k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k3_tex_4(sK4845,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4845)
| ~ m2_tsp_1(X1,sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f96956,f69174]) ).
fof(f97116,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,X0) = X0
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f96965,f69174]) ).
fof(f97129,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4845)
| ~ m2_tsp_1(X1,sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f96988,f69174]) ).
fof(f97154,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X1,X0)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X1),k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f97051,f69174]) ).
fof(f97178,plain,
( v3_struct_0(sK4846)
| k4_tsp_2(sK4845,sK4846) = k1_tsp_2(sK4845,sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97094,f69173]) ).
fof(f97184,plain,
( v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97097,f69173]) ).
fof(f97194,plain,
( v5_pre_topc(sF4849,sK4845,sK4846)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97108,f69173]) ).
fof(f97199,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0) = k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k3_tex_4(sK4845,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4845)
| ~ m2_tsp_1(X1,sK4845) ),
inference(forward_subsumption_resolution,[],[f97110,f69173]) ).
fof(f97214,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f97116,f69173]) ).
fof(f97237,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK4845)
| ~ m2_tsp_1(X1,sK4845) ),
inference(forward_subsumption_resolution,[],[f97129,f69173]) ).
fof(f97265,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X1,X0)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X1),k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850)) ),
inference(forward_subsumption_resolution,[],[f97154,f69173]) ).
fof(f97297,plain,
( k4_tsp_2(sK4845,sK4846) = k1_tsp_2(sK4845,sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97178,f69178]) ).
fof(f97298,plain,
( v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97184,f69178]) ).
fof(f97309,plain,
( v5_pre_topc(sF4849,sK4845,sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97194,f69178]) ).
fof(f97310,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK4845)
| k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0) = k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k3_tex_4(sK4845,X0))
| v3_struct_0(X1)
| ~ m1_subset_1(X0,sF4857)
| ~ m2_tsp_1(X1,sK4845) ),
inference(forward_demodulation,[],[f97199,f81680]) ).
fof(f97313,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK4845)
| ~ m1_subset_1(X0,sF4857)
| k3_tex_4(sK4845,X0) = X0 ),
inference(forward_demodulation,[],[f97214,f81680]) ).
fof(f97323,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK4845)
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),k4_pre_topc(sK4845,X1,k4_tsp_2(sK4845,X1),X0))
| v3_struct_0(X1)
| ~ m1_subset_1(X0,sF4857)
| ~ m2_tsp_1(X1,sK4845) ),
inference(forward_demodulation,[],[f97237,f81680]) ).
fof(f97333,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF4857)
| ~ v4_pre_topc(X0,sK4845)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X1,X0)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X1),k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f97265,f81680]) ).
fof(f97339,plain,
k4_tsp_2(sK4845,sK4846) = k1_tsp_2(sK4845,sK4846),
inference(forward_subsumption_resolution,[],[f97297,f93781]) ).
fof(f97340,plain,
( v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97298,f69177]) ).
fof(f97341,plain,
( v5_pre_topc(sF4849,sK4845,sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97309,f69177]) ).
fof(f97346,plain,
! [X0,X1] :
( ~ v4_pre_topc(X0,sK4845)
| ~ m1_subset_1(X0,sF4857)
| ~ m1_subset_1(X1,sF4857)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X1,X0)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X1),k3_tex_4(sK4845,X0)) ),
inference(forward_demodulation,[],[f97333,f81680]) ).
fof(f97355,plain,
sF4849 = k1_tsp_2(sK4845,sK4846),
inference(forward_demodulation,[],[f97339,f81663]) ).
fof(f97356,plain,
v1_funct_2(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)),
inference(forward_subsumption_resolution,[],[f97340,f93781]) ).
fof(f97357,plain,
v5_pre_topc(sF4849,sK4845,sK4846),
inference(forward_subsumption_resolution,[],[f97341,f93781]) ).
fof(f97358,plain,
v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853),
inference(forward_demodulation,[],[f97356,f81671]) ).
fof(f97359,plain,
v1_funct_2(sF4849,sF4850,sF4853),
inference(forward_demodulation,[],[f97358,f81665]) ).
fof(f97360,plain,
spl4858_1171,
inference(avatar_split_clause,[],[f97359,f93569]) ).
fof(f97389,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X1)))
| ~ v3_borsuk_1(k4_tsp_2(X2,X1),X2,X1)
| k3_tex_4(X2,X0) = k5_pre_topc(X2,X1,k4_tsp_2(X2,X1),X0)
| ~ v5_pre_topc(k4_tsp_2(X2,X1),X2,X1)
| ~ m2_relset_1(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X2)
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2) ),
inference(forward_subsumption_resolution,[],[f96474,f69004]) ).
fof(f97402,plain,
( m2_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f93697,f69175]) ).
fof(f97405,plain,
! [X0,X1] :
( ~ v1_funct_1(sK4839(X0,X1))
| k1_tsp_2(X0,X1) = sK4839(X0,X1)
| ~ v5_pre_topc(sK4839(X0,X1),X0,X1)
| ~ m2_relset_1(sK4839(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,[],[f93988,f69137]) ).
fof(f97418,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| k10_relat_1(k4_tsp_2(X0,X1),X2) = k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)
| 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(forward_subsumption_resolution,[],[f95613,f93905]) ).
fof(f97447,plain,
( ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845)
| spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f96953,f69175]) ).
fof(f97464,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X1)))
| ~ v3_borsuk_1(k4_tsp_2(X2,X1),X2,X1)
| k3_tex_4(X2,X0) = k5_pre_topc(X2,X1,k4_tsp_2(X2,X1),X0)
| ~ m2_relset_1(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X2)
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2) ),
inference(forward_subsumption_resolution,[],[f97389,f69002]) ).
fof(f97469,plain,
( m2_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97402,f69174]) ).
fof(f97470,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = sK4839(X0,X1)
| ~ v5_pre_topc(sK4839(X0,X1),X0,X1)
| ~ m2_relset_1(sK4839(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,[],[f97405,f69141]) ).
fof(f97475,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X1)
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| k10_relat_1(k4_tsp_2(X0,X1),X2) = k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)
| 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(forward_subsumption_resolution,[],[f97418,f54158]) ).
fof(f97495,plain,
( ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845)
| spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f97447,f69174]) ).
fof(f97506,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X1)))
| ~ v3_borsuk_1(k4_tsp_2(X2,X1),X2,X1)
| k3_tex_4(X2,X0) = k5_pre_topc(X2,X1,k4_tsp_2(X2,X1),X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X2)
| ~ m2_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2) ),
inference(forward_subsumption_resolution,[],[f97464,f69001]) ).
fof(f97511,plain,
( m2_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97469,f69173]) ).
fof(f97512,plain,
! [X0,X1] :
( k1_tsp_2(X0,X1) = sK4839(X0,X1)
| ~ m2_relset_1(sK4839(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,[],[f97470,f69139]) ).
fof(f97517,plain,
! [X2,X0,X1] :
( ~ v2_tsp_2(X1,X0)
| k10_relat_1(k4_tsp_2(X0,X1),X2) = k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f97475,f69004]) ).
fof(f97535,plain,
( v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845)
| spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f97495,f69173]) ).
fof(f97545,plain,
! [X2,X0,X1] :
( ~ v3_borsuk_1(k4_tsp_2(X2,X1),X2,X1)
| ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(X1)))
| k3_tex_4(X2,X0) = k5_pre_topc(X2,X1,k4_tsp_2(X2,X1),X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X2)
| v3_struct_0(X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2) ),
inference(forward_subsumption_resolution,[],[f97506,f68982]) ).
fof(f97549,plain,
( m2_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97511,f69178]) ).
fof(f97550,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| k1_tsp_2(X0,X1) = sK4839(X0,X1)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f97512,f69138]) ).
fof(f97557,plain,
( ~ v2_tsp_2(sK4846,sK4845)
| ~ m1_pre_topc(sK4846,sK4845)
| spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f97535,f69178]) ).
fof(f97560,plain,
( m2_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846))
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f97549,f69177]) ).
fof(f97561,plain,
( ~ m1_pre_topc(sK4846,sK4845)
| spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f97557,f69177]) ).
fof(f97564,plain,
m2_relset_1(sF4849,u1_struct_0(sK4845),u1_struct_0(sK4846)),
inference(forward_subsumption_resolution,[],[f97560,f93781]) ).
fof(f97565,plain,
( $false
| spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f97561,f93781]) ).
fof(f97566,plain,
spl4858_1169,
inference(avatar_contradiction_clause,[],[f97565]) ).
fof(f97567,plain,
m2_relset_1(sF4849,u1_struct_0(sK4845),sF4853),
inference(forward_demodulation,[],[f97564,f81671]) ).
fof(f97568,plain,
m2_relset_1(sF4849,sF4850,sF4853),
inference(forward_demodulation,[],[f97567,f81665]) ).
fof(f97670,plain,
m1_relset_1(sF4849,sF4850,sF4853),
inference(resolution,[],[f97568,f42923]) ).
fof(f97671,plain,
( $false
| spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f97670,f93575]) ).
fof(f97672,plain,
spl4858_1172,
inference(avatar_contradiction_clause,[],[f97671]) ).
fof(f97716,plain,
( ~ m1_subset_1(sK4847,sF4857)
| sK4847 = k3_tex_4(sK4845,sK4847)
| ~ spl4858_2 ),
inference(resolution,[],[f97313,f81900]) ).
fof(f97720,plain,
( sK4847 = k3_tex_4(sK4845,sK4847)
| ~ spl4858_2 ),
inference(forward_subsumption_resolution,[],[f97716,f81682]) ).
fof(f97806,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ m1_subset_1(u1_struct_0(X0),k1_pcomps_1(sF4850))
| ~ v1_funct_1(k4_tsp_2(sK4845,X0))
| k4_pre_topc(sK4845,X0,k4_tsp_2(sK4845,X0),X1) = k5_subset_1(sF4850,u1_struct_0(X0),k3_tex_4(sK4845,X1))
| ~ v5_pre_topc(k4_tsp_2(sK4845,X0),sK4845,X0)
| ~ m2_relset_1(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4845)
| ~ m2_tsp_1(X0,sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f93593,f69175]) ).
fof(f97816,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ m1_subset_1(u1_struct_0(X0),k1_pcomps_1(sF4850))
| ~ v1_funct_1(k4_tsp_2(sK4845,X0))
| k4_pre_topc(sK4845,X0,k4_tsp_2(sK4845,X0),X1) = k5_subset_1(sF4850,u1_struct_0(X0),k3_tex_4(sK4845,X1))
| ~ v5_pre_topc(k4_tsp_2(sK4845,X0),sK4845,X0)
| ~ m2_relset_1(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4845)
| ~ m2_tsp_1(X0,sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f97806,f69174]) ).
fof(f97824,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ m1_subset_1(u1_struct_0(X0),k1_pcomps_1(sF4850))
| ~ v1_funct_1(k4_tsp_2(sK4845,X0))
| k4_pre_topc(sK4845,X0,k4_tsp_2(sK4845,X0),X1) = k5_subset_1(sF4850,u1_struct_0(X0),k3_tex_4(sK4845,X1))
| ~ v5_pre_topc(k4_tsp_2(sK4845,X0),sK4845,X0)
| ~ m2_relset_1(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4845)
| ~ m2_tsp_1(X0,sK4845) ),
inference(forward_subsumption_resolution,[],[f97816,f69173]) ).
fof(f97832,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF4857)
| ~ v1_funct_2(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| ~ m1_subset_1(u1_struct_0(X0),k1_pcomps_1(sF4850))
| ~ v1_funct_1(k4_tsp_2(sK4845,X0))
| k4_pre_topc(sK4845,X0,k4_tsp_2(sK4845,X0),X1) = k5_subset_1(sF4850,u1_struct_0(X0),k3_tex_4(sK4845,X1))
| ~ v5_pre_topc(k4_tsp_2(sK4845,X0),sK4845,X0)
| ~ m2_relset_1(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4845)
| ~ m2_tsp_1(X0,sK4845) ),
inference(forward_demodulation,[],[f97824,f81680]) ).
fof(f97836,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),sF4857)
| ~ m1_subset_1(X1,sF4857)
| ~ v1_funct_2(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| ~ v1_funct_1(k4_tsp_2(sK4845,X0))
| k4_pre_topc(sK4845,X0,k4_tsp_2(sK4845,X0),X1) = k5_subset_1(sF4850,u1_struct_0(X0),k3_tex_4(sK4845,X1))
| ~ v5_pre_topc(k4_tsp_2(sK4845,X0),sK4845,X0)
| ~ m2_relset_1(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4845)
| ~ m2_tsp_1(X0,sK4845) ),
inference(forward_demodulation,[],[f97832,f81680]) ).
fof(f97839,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| ~ m1_subset_1(X1,sF4857)
| ~ v1_funct_1(k4_tsp_2(sK4845,X0))
| k4_pre_topc(sK4845,X0,k4_tsp_2(sK4845,X0),X1) = k5_subset_1(sF4850,u1_struct_0(X0),k3_tex_4(sK4845,X1))
| ~ v5_pre_topc(k4_tsp_2(sK4845,X0),sK4845,X0)
| ~ m2_relset_1(k4_tsp_2(sK4845,X0),sF4850,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK4845)
| ~ m2_tsp_1(X0,sK4845) ),
inference(forward_subsumption_resolution,[],[f97836,f93518]) ).
fof(f97851,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4853))
| k5_subset_1(sF4853,X0,sF4854) = k5_subset_1(sF4853,sF4854,X0) )
| ~ spl4858_1173 ),
inference(resolution,[],[f93580,f69754]) ).
fof(f97855,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4853))
| k5_subset_1(sF4853,X0,sF4854) = k1_setfam_1(k2_tarski(X0,sF4854)) )
| ~ spl4858_1173 ),
inference(resolution,[],[f93580,f88232]) ).
fof(f97887,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4853))
| k5_subset_1(sF4853,X0,sF4855) = k1_setfam_1(k2_tarski(X0,sF4855)) )
| ~ spl4858_1170 ),
inference(resolution,[],[f93567,f88232]) ).
fof(f98059,plain,
( ! [X0] :
( ~ v1_funct_1(sF4849)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k9_relat_1(sF4849,X0)
| ~ m1_relset_1(sF4849,sF4850,sF4853) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1171 ),
inference(resolution,[],[f93570,f93867]) ).
fof(f98060,plain,
( ! [X0] :
( k4_pre_topc(sK4845,sK4846,sF4849,X0) = k9_relat_1(sF4849,X0)
| ~ m1_relset_1(sF4849,sF4850,sF4853) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171 ),
inference(forward_subsumption_resolution,[],[f98059,f93562]) ).
fof(f98061,plain,
( ! [X0] : k4_pre_topc(sK4845,sK4846,sF4849,X0) = k9_relat_1(sF4849,X0)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f98060,f93574]) ).
fof(f98065,plain,
( sF4854 = k9_relat_1(sF4849,sK4847)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f81673,f98061]) ).
fof(f98066,plain,
( sF4855 = k9_relat_1(sF4849,sK4848)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f81675,f98061]) ).
fof(f98067,plain,
( sF4852 = k9_relat_1(sF4849,sF4851)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f81669,f98061]) ).
fof(f98071,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF4849,X0),k1_pcomps_1(sF4853))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),sF4853)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853)
| ~ v1_funct_1(sF4849)
| ~ l1_struct_0(sK4845) )
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f93534,f98061]) ).
fof(f98072,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF4849,X0),k1_pcomps_1(sF4853))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),sF4853)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853)
| ~ l1_struct_0(sK4845) )
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f98071,f93562]) ).
fof(f98074,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF4849,X0),k1_pcomps_1(sF4853))
| ~ m1_relset_1(sF4849,u1_struct_0(sK4845),sF4853)
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853) )
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f98072,f93542]) ).
fof(f98076,plain,
( ! [X0] :
( ~ m1_relset_1(sF4849,sF4850,sF4853)
| m1_subset_1(k9_relat_1(sF4849,X0),k1_pcomps_1(sF4853))
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853) )
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98074,f81665]) ).
fof(f98078,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF4849,X0),k1_pcomps_1(sF4853))
| ~ v1_funct_2(sF4849,u1_struct_0(sK4845),sF4853) )
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f98076,f93574]) ).
fof(f98080,plain,
( ! [X0] :
( ~ v1_funct_2(sF4849,sF4850,sF4853)
| m1_subset_1(k9_relat_1(sF4849,X0),k1_pcomps_1(sF4853)) )
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98078,f81665]) ).
fof(f98082,plain,
( ! [X0] : m1_subset_1(k9_relat_1(sF4849,X0),k1_pcomps_1(sF4853))
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f98080,f93570]) ).
fof(f98088,definition,
( spl4858_1287
<=> v1_relat_1(sF4849) ),
introduced(definition,[new_symbols(definition,[spl4858_1287])],[avatar_definition]) ).
fof(f98089,plain,
( v1_relat_1(sF4849)
| ~ spl4858_1287 ),
inference(avatar_component_clause,[],[f98088]) ).
fof(f98090,plain,
( ~ v1_relat_1(sF4849)
| spl4858_1287 ),
inference(avatar_component_clause,[],[f98088]) ).
fof(f98104,plain,
! [X0] :
( k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),k3_tex_4(sK4845,X0))
| v3_struct_0(sK4846)
| ~ m1_subset_1(X0,sF4857)
| ~ m2_tsp_1(sK4846,sK4845) ),
inference(resolution,[],[f97310,f69177]) ).
fof(f98105,plain,
! [X0] :
( k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X0,sF4857)
| ~ m2_tsp_1(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f98104,f69178]) ).
fof(f98106,plain,
! [X0] :
( k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X0,sF4857) ),
inference(forward_subsumption_resolution,[],[f98105,f69176]) ).
fof(f98107,plain,
! [X0] :
( k4_pre_topc(sK4845,sK4846,sF4849,X0) = k4_pre_topc(sK4845,sK4846,sF4849,k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X0,sF4857) ),
inference(forward_demodulation,[],[f98106,f81663]) ).
fof(f98108,plain,
( ! [X0] :
( k4_pre_topc(sK4845,sK4846,sF4849,X0) = k9_relat_1(sF4849,k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X0,sF4857) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98107,f98061]) ).
fof(f98109,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k9_relat_1(sF4849,X0) = k9_relat_1(sF4849,k3_tex_4(sK4845,X0)) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98108,f98061]) ).
fof(f98118,plain,
( k9_relat_1(sF4849,sF4851) = k9_relat_1(sF4849,k3_tex_4(sK4845,sF4851))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98109,f93623]) ).
fof(f98120,plain,
( sF4852 = k9_relat_1(sF4849,k3_tex_4(sK4845,sF4851))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98118,f98067]) ).
fof(f98179,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF4849,X0),sF4855)
| ~ r1_tarski(X0,sK4848)
| ~ v1_relat_1(sF4849) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f42058,f98066]) ).
fof(f98193,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF4849,X0),sF4854)
| ~ r1_tarski(X0,sK4847)
| ~ v1_relat_1(sF4849) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f42058,f98065]) ).
fof(f98270,plain,
( r1_tarski(sF4856,sF4853)
| ~ spl4858_1175 ),
inference(resolution,[],[f93618,f69838]) ).
fof(f98454,definition,
( spl4858_1301
<=> m1_subset_1(k3_tex_4(sK4845,sK4848),sF4857) ),
introduced(definition,[new_symbols(definition,[spl4858_1301])],[avatar_definition]) ).
fof(f98455,plain,
( m1_subset_1(k3_tex_4(sK4845,sK4848),sF4857)
| ~ spl4858_1301 ),
inference(avatar_component_clause,[],[f98454]) ).
fof(f98456,plain,
( ~ m1_subset_1(k3_tex_4(sK4845,sK4848),sF4857)
| spl4858_1301 ),
inference(avatar_component_clause,[],[f98454]) ).
fof(f98493,plain,
v1_relat_1(sF4849),
inference(resolution,[],[f94891,f97568]) ).
fof(f98496,plain,
( $false
| spl4858_1287 ),
inference(forward_subsumption_resolution,[],[f98493,f98090]) ).
fof(f98497,plain,
spl4858_1287,
inference(avatar_contradiction_clause,[],[f98496]) ).
fof(f98504,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF4849,X0),sF4855)
| ~ r1_tarski(X0,sK4848) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287 ),
inference(forward_subsumption_resolution,[],[f98179,f98089]) ).
fof(f98507,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF4849,X0),sF4854)
| ~ r1_tarski(X0,sK4847) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287 ),
inference(forward_subsumption_resolution,[],[f98193,f98089]) ).
fof(f98522,plain,
( ! [X0] :
( ~ m1_subset_1(sK4847,sF4857)
| ~ m1_subset_1(X0,sF4857)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X0,sK4847)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,sK4847)) )
| ~ spl4858_2 ),
inference(resolution,[],[f97346,f81900]) ).
fof(f98523,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X0,sK4847)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,sK4847)) )
| ~ spl4858_2 ),
inference(forward_subsumption_resolution,[],[f98522,f81682]) ).
fof(f98527,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k5_subset_1(sF4850,k3_tex_4(sK4845,X0),sK4847) = k3_tex_4(sK4845,k5_subset_1(sF4850,X0,sK4847)) )
| ~ spl4858_2 ),
inference(forward_demodulation,[],[f98523,f97720]) ).
fof(f98538,plain,
( k5_subset_1(sF4850,k3_tex_4(sK4845,sK4848),sK4847) = k3_tex_4(sK4845,k5_subset_1(sF4850,sK4848,sK4847))
| ~ spl4858_2 ),
inference(resolution,[],[f98527,f81681]) ).
fof(f98543,plain,
( k5_subset_1(sF4850,k3_tex_4(sK4845,sK4848),sK4847) = k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4848,sK4847)))
| ~ spl4858_2 ),
inference(forward_demodulation,[],[f98538,f93604]) ).
fof(f98545,plain,
( k3_tex_4(sK4845,sF4851) = k5_subset_1(sF4850,k3_tex_4(sK4845,sK4848),sK4847)
| ~ spl4858_2 ),
inference(forward_demodulation,[],[f98543,f93768]) ).
fof(f98553,plain,
( m1_subset_1(k3_tex_4(sK4845,sF4851),k1_pcomps_1(sF4850))
| ~ m1_subset_1(k3_tex_4(sK4845,sK4848),k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ spl4858_2 ),
inference(superposition,[],[f69753,f98545]) ).
fof(f98554,plain,
( m1_subset_1(k3_tex_4(sK4845,sF4851),sF4857)
| ~ m1_subset_1(k3_tex_4(sK4845,sK4848),k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ spl4858_2 ),
inference(forward_demodulation,[],[f98553,f81680]) ).
fof(f98557,plain,
( ~ m1_subset_1(k3_tex_4(sK4845,sK4848),sF4857)
| m1_subset_1(k3_tex_4(sK4845,sF4851),sF4857)
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ spl4858_2 ),
inference(forward_demodulation,[],[f98554,f81680]) ).
fof(f98560,plain,
! [X0] :
( k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0))
| v3_struct_0(sK4846)
| ~ m1_subset_1(X0,sF4857)
| ~ m2_tsp_1(sK4846,sK4845) ),
inference(resolution,[],[f97323,f69177]) ).
fof(f98561,plain,
! [X0] :
( k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0))
| ~ m1_subset_1(X0,sF4857)
| ~ m2_tsp_1(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f98560,f69178]) ).
fof(f98562,plain,
! [X0] :
( k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),k4_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0))
| ~ m1_subset_1(X0,sF4857) ),
inference(forward_subsumption_resolution,[],[f98561,f69176]) ).
fof(f98563,plain,
! [X0] :
( k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,k4_pre_topc(sK4845,sK4846,sF4849,X0))
| ~ m1_subset_1(X0,sF4857) ),
inference(forward_demodulation,[],[f98562,f81663]) ).
fof(f98564,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,k9_relat_1(sF4849,X0)) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98563,f98061]) ).
fof(f98571,plain,
( k3_tex_4(sK4845,sK4847) = k5_pre_topc(sK4845,sK4846,sF4849,k9_relat_1(sF4849,sK4847))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98564,f81682]) ).
fof(f98572,plain,
( k3_tex_4(sK4845,sK4848) = k5_pre_topc(sK4845,sK4846,sF4849,k9_relat_1(sF4849,sK4848))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98564,f81681]) ).
fof(f98573,plain,
( k3_tex_4(sK4845,sF4851) = k5_pre_topc(sK4845,sK4846,sF4849,k9_relat_1(sF4849,sF4851))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98564,f93623]) ).
fof(f98575,plain,
( k3_tex_4(sK4845,sF4851) = k5_pre_topc(sK4845,sK4846,sF4849,sF4852)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98573,f98067]) ).
fof(f98576,plain,
( k3_tex_4(sK4845,sK4848) = k5_pre_topc(sK4845,sK4846,sF4849,sF4855)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98572,f98066]) ).
fof(f98577,plain,
( k3_tex_4(sK4845,sK4847) = k5_pre_topc(sK4845,sK4846,sF4849,sF4854)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98571,f98065]) ).
fof(f98706,plain,
! [X0] :
( ~ v1_funct_2(sF4849,sF4850,u1_struct_0(sK4846))
| ~ m1_subset_1(X0,sF4857)
| ~ v1_funct_1(sF4849)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,u1_struct_0(sK4846),k3_tex_4(sK4845,X0))
| ~ v5_pre_topc(sF4849,sK4845,sK4846)
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846))
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m2_tsp_1(sK4846,sK4845) ),
inference(superposition,[],[f97839,f81663]) ).
fof(f98712,plain,
( ! [X0] :
( ~ v1_funct_2(sF4849,sF4850,u1_struct_0(sK4846))
| ~ m1_subset_1(X0,sF4857)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,u1_struct_0(sK4846),k3_tex_4(sK4845,X0))
| ~ v5_pre_topc(sF4849,sK4845,sK4846)
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846))
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m2_tsp_1(sK4846,sK4845) )
| ~ spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f98706,f93562]) ).
fof(f98714,plain,
( ! [X0] :
( ~ v1_funct_2(sF4849,sF4850,u1_struct_0(sK4846))
| ~ m1_subset_1(X0,sF4857)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,u1_struct_0(sK4846),k3_tex_4(sK4845,X0))
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846))
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m2_tsp_1(sK4846,sK4845) )
| ~ spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f98712,f97357]) ).
fof(f98716,plain,
( ! [X0] :
( ~ v1_funct_2(sF4849,sF4850,u1_struct_0(sK4846))
| ~ m1_subset_1(X0,sF4857)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,u1_struct_0(sK4846),k3_tex_4(sK4845,X0))
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846))
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m2_tsp_1(sK4846,sK4845) )
| ~ spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f98714,f69178]) ).
fof(f98718,plain,
( ! [X0] :
( ~ v1_funct_2(sF4849,sF4850,u1_struct_0(sK4846))
| ~ m1_subset_1(X0,sF4857)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,u1_struct_0(sK4846),k3_tex_4(sK4845,X0))
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846))
| ~ m2_tsp_1(sK4846,sK4845) )
| ~ spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f98716,f69177]) ).
fof(f98720,plain,
( ! [X0] :
( ~ v1_funct_2(sF4849,sF4850,u1_struct_0(sK4846))
| ~ m1_subset_1(X0,sF4857)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,u1_struct_0(sK4846),k3_tex_4(sK4845,X0))
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846)) )
| ~ spl4858_1169 ),
inference(forward_subsumption_resolution,[],[f98718,f69176]) ).
fof(f98722,plain,
( ! [X0] :
( ~ v1_funct_2(sF4849,sF4850,sF4853)
| ~ m1_subset_1(X0,sF4857)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,u1_struct_0(sK4846),k3_tex_4(sK4845,X0))
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846)) )
| ~ spl4858_1169 ),
inference(forward_demodulation,[],[f98720,f81671]) ).
fof(f98724,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,u1_struct_0(sK4846),k3_tex_4(sK4845,X0))
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846)) )
| ~ spl4858_1169
| ~ spl4858_1171 ),
inference(forward_subsumption_resolution,[],[f98722,f93570]) ).
fof(f98726,plain,
( ! [X0] :
( k4_pre_topc(sK4845,sK4846,sF4849,X0) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,X0))
| ~ m1_subset_1(X0,sF4857)
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846)) )
| ~ spl4858_1169
| ~ spl4858_1171 ),
inference(forward_demodulation,[],[f98724,f81671]) ).
fof(f98728,plain,
( ! [X0] :
( k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,X0)) = k9_relat_1(sF4849,X0)
| ~ m1_subset_1(X0,sF4857)
| ~ m2_relset_1(sF4849,sF4850,u1_struct_0(sK4846)) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98726,f98061]) ).
fof(f98730,plain,
( ! [X0] :
( ~ m2_relset_1(sF4849,sF4850,sF4853)
| k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,X0)) = k9_relat_1(sF4849,X0)
| ~ m1_subset_1(X0,sF4857) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98728,f81671]) ).
fof(f98732,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,X0)) = k9_relat_1(sF4849,X0) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f98730,f97568]) ).
fof(f98734,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF4857)
| ~ m1_subset_1(X0,sF4857)
| k9_relat_1(sF4849,k5_subset_1(sF4850,X0,X1)) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k5_subset_1(sF4850,X0,X1))) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98732,f93613]) ).
fof(f98740,plain,
( k9_relat_1(sF4849,sK4847) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,sK4847))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98732,f81682]) ).
fof(f98741,plain,
( k9_relat_1(sF4849,sK4848) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,sK4848))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98732,f81681]) ).
fof(f98742,plain,
( k9_relat_1(sF4849,sF4851) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,sF4851))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98732,f93623]) ).
fof(f98744,plain,
( sF4852 = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,sF4851))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98742,f98067]) ).
fof(f98745,plain,
( sF4855 = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,sK4848))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98741,f98066]) ).
fof(f98746,plain,
( k5_subset_1(sF4850,sF4853,sK4847) = k9_relat_1(sF4849,sK4847)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98740,f97720]) ).
fof(f98747,plain,
( sF4854 = k5_subset_1(sF4850,sF4853,sK4847)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98746,f98065]) ).
fof(f98748,plain,
( sF4854 = k1_setfam_1(k2_tarski(sF4853,sK4847))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98747,f93717]) ).
fof(f98755,plain,
( m1_subset_1(sF4852,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4853,k1_pcomps_1(sF4850))
| ~ m1_subset_1(k3_tex_4(sK4845,sF4851),k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f69753,f98744]) ).
fof(f98756,plain,
( m1_subset_1(sF4852,sF4857)
| ~ m1_subset_1(sF4853,k1_pcomps_1(sF4850))
| ~ m1_subset_1(k3_tex_4(sK4845,sF4851),k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98755,f81680]) ).
fof(f98762,plain,
( ~ m1_subset_1(sF4853,sF4857)
| m1_subset_1(sF4852,sF4857)
| ~ m1_subset_1(k3_tex_4(sK4845,sF4851),k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98756,f81680]) ).
fof(f98766,definition,
( spl4858_1304
<=> m1_subset_1(k3_tex_4(sK4845,sF4851),sF4857) ),
introduced(definition,[new_symbols(definition,[spl4858_1304])],[avatar_definition]) ).
fof(f98768,plain,
( ~ m1_subset_1(k3_tex_4(sK4845,sF4851),sF4857)
| spl4858_1304 ),
inference(avatar_component_clause,[],[f98766]) ).
fof(f98770,definition,
( spl4858_1305
<=> m1_subset_1(sF4852,sF4857) ),
introduced(definition,[new_symbols(definition,[spl4858_1305])],[avatar_definition]) ).
fof(f98772,plain,
( m1_subset_1(sF4852,sF4857)
| ~ spl4858_1305 ),
inference(avatar_component_clause,[],[f98770]) ).
fof(f98784,plain,
( m1_subset_1(sF4852,sF4857)
| ~ m1_subset_1(k3_tex_4(sK4845,sF4851),k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f98762,f93654]) ).
fof(f98788,plain,
( ~ m1_subset_1(k3_tex_4(sK4845,sF4851),sF4857)
| m1_subset_1(sF4852,sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98784,f81680]) ).
fof(f98798,plain,
( spl4858_1305
| ~ spl4858_1304
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(avatar_split_clause,[],[f98788,f93573,f93569,f93561,f93541,f93529,f98766,f98770]) ).
fof(f98808,plain,
( m1_subset_1(sF4855,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4853,k1_pcomps_1(sF4850))
| ~ m1_subset_1(k3_tex_4(sK4845,sK4848),k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f69753,f98745]) ).
fof(f98809,plain,
( m1_subset_1(sF4855,sF4857)
| ~ m1_subset_1(sF4853,k1_pcomps_1(sF4850))
| ~ m1_subset_1(k3_tex_4(sK4845,sK4848),k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98808,f81680]) ).
fof(f98812,plain,
( ~ m1_subset_1(sF4853,sF4857)
| m1_subset_1(sF4855,sF4857)
| ~ m1_subset_1(k3_tex_4(sK4845,sK4848),k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98809,f81680]) ).
fof(f98814,plain,
( m1_subset_1(sF4855,sF4857)
| ~ m1_subset_1(k3_tex_4(sK4845,sK4848),k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f98812,f93654]) ).
fof(f98816,plain,
( ~ m1_subset_1(k3_tex_4(sK4845,sK4848),sF4857)
| m1_subset_1(sF4855,sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98814,f81680]) ).
fof(f98864,plain,
( v3_struct_0(sK4846)
| k1_tsp_2(sK4845,sK4846) = sK4839(sK4845,sK4846)
| ~ m2_tsp_1(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(resolution,[],[f97550,f69177]) ).
fof(f98865,plain,
( k1_tsp_2(sK4845,sK4846) = sK4839(sK4845,sK4846)
| ~ m2_tsp_1(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98864,f69178]) ).
fof(f98866,plain,
( k1_tsp_2(sK4845,sK4846) = sK4839(sK4845,sK4846)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98865,f69176]) ).
fof(f98867,plain,
( k1_tsp_2(sK4845,sK4846) = sK4839(sK4845,sK4846)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98866,f69175]) ).
fof(f98868,plain,
( k1_tsp_2(sK4845,sK4846) = sK4839(sK4845,sK4846)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98867,f69174]) ).
fof(f98869,plain,
k1_tsp_2(sK4845,sK4846) = sK4839(sK4845,sK4846),
inference(forward_subsumption_resolution,[],[f98868,f69173]) ).
fof(f98870,plain,
sF4849 = sK4839(sK4845,sK4846),
inference(forward_demodulation,[],[f98869,f97355]) ).
fof(f98879,plain,
( v3_borsuk_1(sF4849,sK4845,sK4846)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m2_tsp_1(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f69137,f98870]) ).
fof(f98884,plain,
( v3_borsuk_1(sF4849,sK4845,sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| ~ m2_tsp_1(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98879,f69178]) ).
fof(f98891,plain,
( v3_borsuk_1(sF4849,sK4845,sK4846)
| ~ m2_tsp_1(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98884,f69177]) ).
fof(f98898,plain,
( v3_borsuk_1(sF4849,sK4845,sK4846)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98891,f69176]) ).
fof(f98905,plain,
( v3_borsuk_1(sF4849,sK4845,sK4846)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98898,f69175]) ).
fof(f98912,plain,
( v3_borsuk_1(sF4849,sK4845,sK4846)
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f98905,f69174]) ).
fof(f98917,plain,
v3_borsuk_1(sF4849,sK4845,sK4846),
inference(forward_subsumption_resolution,[],[f98912,f69173]) ).
fof(f98984,definition,
( spl4858_1318
<=> r1_tarski(sF4852,sF4854) ),
introduced(definition,[new_symbols(definition,[spl4858_1318])],[avatar_definition]) ).
fof(f98986,plain,
( r1_tarski(sF4852,sF4854)
| ~ spl4858_1318 ),
inference(avatar_component_clause,[],[f98984]) ).
fof(f99325,plain,
( k5_subset_1(sF4853,sF4855,sF4854) = k1_setfam_1(k2_tarski(sF4855,sF4854))
| ~ spl4858_1170
| ~ spl4858_1173 ),
inference(resolution,[],[f97855,f93567]) ).
fof(f99352,plain,
( k5_subset_1(sF4853,sF4854,sF4855) = k1_setfam_1(k2_tarski(sF4854,sF4855))
| ~ spl4858_1170
| ~ spl4858_1173 ),
inference(resolution,[],[f97887,f93580]) ).
fof(f99358,plain,
( sF4856 = k1_setfam_1(k2_tarski(sF4854,sF4855))
| ~ spl4858_1170
| ~ spl4858_1173 ),
inference(forward_demodulation,[],[f99352,f81677]) ).
fof(f99369,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF4855)
| ~ r1_tarski(X0,sF4854)
| r1_tarski(X0,sF4856) )
| ~ spl4858_1170
| ~ spl4858_1173 ),
inference(superposition,[],[f88498,f99358]) ).
fof(f99465,plain,
( r1_tarski(sF4852,sF4854)
| ~ r1_tarski(sF4851,sK4847)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287 ),
inference(superposition,[],[f98507,f98067]) ).
fof(f99467,definition,
( spl4858_1341
<=> r1_tarski(sF4851,sK4847) ),
introduced(definition,[new_symbols(definition,[spl4858_1341])],[avatar_definition]) ).
fof(f99469,plain,
( ~ r1_tarski(sF4851,sK4847)
| spl4858_1341 ),
inference(avatar_component_clause,[],[f99467]) ).
fof(f99470,plain,
( ~ spl4858_1341
| spl4858_1318
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287 ),
inference(avatar_split_clause,[],[f99465,f98088,f93573,f93569,f93561,f93541,f93529,f98984,f99467]) ).
fof(f99511,plain,
( r1_tarski(sF4852,sF4855)
| ~ r1_tarski(sF4851,sK4848)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287 ),
inference(superposition,[],[f98504,f98067]) ).
fof(f99513,definition,
( spl4858_1343
<=> r1_tarski(sF4851,sK4848) ),
introduced(definition,[new_symbols(definition,[spl4858_1343])],[avatar_definition]) ).
fof(f99515,plain,
( ~ r1_tarski(sF4851,sK4848)
| spl4858_1343 ),
inference(avatar_component_clause,[],[f99513]) ).
fof(f99517,definition,
( spl4858_1344
<=> r1_tarski(sF4852,sF4855) ),
introduced(definition,[new_symbols(definition,[spl4858_1344])],[avatar_definition]) ).
fof(f99519,plain,
( r1_tarski(sF4852,sF4855)
| ~ spl4858_1344 ),
inference(avatar_component_clause,[],[f99517]) ).
fof(f99520,plain,
( ~ spl4858_1343
| spl4858_1344
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287 ),
inference(avatar_split_clause,[],[f99511,f98088,f93573,f93569,f93561,f93541,f93529,f99517,f99513]) ).
fof(f99611,definition,
( spl4858_1354
<=> m1_subset_1(sF4854,sF4857) ),
introduced(definition,[new_symbols(definition,[spl4858_1354])],[avatar_definition]) ).
fof(f99612,plain,
( m1_subset_1(sF4854,sF4857)
| ~ spl4858_1354 ),
inference(avatar_component_clause,[],[f99611]) ).
fof(f99613,plain,
( ~ m1_subset_1(sF4854,sF4857)
| spl4858_1354 ),
inference(avatar_component_clause,[],[f99611]) ).
fof(f100155,plain,
( ~ m1_subset_1(sK4848,sF4857)
| spl4858_1301 ),
inference(resolution,[],[f98456,f93967]) ).
fof(f100156,plain,
( $false
| spl4858_1301 ),
inference(forward_subsumption_resolution,[],[f100155,f81681]) ).
fof(f100157,plain,
spl4858_1301,
inference(avatar_contradiction_clause,[],[f100156]) ).
fof(f100163,plain,
( m1_subset_1(k3_tex_4(sK4845,sF4851),sF4857)
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ spl4858_2
| ~ spl4858_1301 ),
inference(forward_subsumption_resolution,[],[f98557,f98455]) ).
fof(f100176,plain,
( m1_subset_1(sF4855,sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(forward_subsumption_resolution,[],[f98816,f98455]) ).
fof(f100183,plain,
( ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ spl4858_2
| ~ spl4858_1301
| spl4858_1304 ),
inference(forward_subsumption_resolution,[],[f100163,f98768]) ).
fof(f100203,plain,
( ~ m1_subset_1(sK4847,sF4857)
| ~ spl4858_2
| ~ spl4858_1301
| spl4858_1304 ),
inference(forward_demodulation,[],[f100183,f81680]) ).
fof(f100225,plain,
( $false
| ~ spl4858_2
| ~ spl4858_1301
| spl4858_1304 ),
inference(forward_subsumption_resolution,[],[f100203,f81682]) ).
fof(f100226,plain,
( ~ spl4858_2
| ~ spl4858_1301
| spl4858_1304 ),
inference(avatar_contradiction_clause,[],[f100225]) ).
fof(f100229,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k1_setfam_1(k2_tarski(sF4855,X0)) = k5_subset_1(sF4850,sF4855,X0) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(resolution,[],[f100176,f93589]) ).
fof(f100231,plain,
( k1_setfam_1(k2_tarski(sK4847,sF4855)) = k5_subset_1(sF4850,sK4847,sF4855)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(resolution,[],[f100176,f93591]) ).
fof(f100232,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k5_subset_1(sF4850,sF4855,X0) = k5_subset_1(sF4850,X0,sF4855) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(resolution,[],[f100176,f93608]) ).
fof(f100235,plain,
( k5_subset_1(sF4850,sK4847,sF4855) = k5_subset_1(sF4850,sF4855,sK4847)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(resolution,[],[f100176,f93704]) ).
fof(f100272,plain,
( k1_setfam_1(k2_tarski(sK4847,sF4855)) = k5_subset_1(sF4850,sF4855,sK4847)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(forward_demodulation,[],[f100231,f100235]) ).
fof(f100312,plain,
( k9_relat_1(sF4849,sF4852) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,sF4852))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1305 ),
inference(resolution,[],[f98772,f98732]) ).
fof(f103377,plain,
! [X0] :
( ~ v3_borsuk_1(sF4849,sK4845,sK4846)
| ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(sK4846)))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(superposition,[],[f97545,f81663]) ).
fof(f103378,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(sK4846)))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0)
| v3_struct_0(sK4846)
| ~ v2_tsp_2(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f103377,f98917]) ).
fof(f103379,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(sK4846)))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0)
| ~ v2_tsp_2(sK4846,sK4845)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f103378,f69178]) ).
fof(f103380,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(sK4846)))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f103379,f69177]) ).
fof(f103381,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(sK4846)))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f103380,f69175]) ).
fof(f103382,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(sK4846)))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0)
| ~ l1_pre_topc(sK4845)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f103381,f69174]) ).
fof(f103383,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(sK4846)))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f103382,f69173]) ).
fof(f103384,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(u1_struct_0(sK4846)))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0) ),
inference(forward_subsumption_resolution,[],[f103383,f93781]) ).
fof(f103385,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_pcomps_1(sF4853))
| k3_tex_4(sK4845,X0) = k5_pre_topc(sK4845,sK4846,sF4849,X0) ),
inference(forward_demodulation,[],[f103384,f81671]) ).
fof(f103386,plain,
( ! [X0] : k5_pre_topc(sK4845,sK4846,sF4849,k9_relat_1(sF4849,X0)) = k3_tex_4(sK4845,k9_relat_1(sF4849,X0))
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f103385,f98082]) ).
fof(f103396,plain,
( k5_pre_topc(sK4845,sK4846,sF4849,sF4852) = k3_tex_4(sK4845,sF4852)
| ~ spl4858_1174 ),
inference(resolution,[],[f103385,f93585]) ).
fof(f103398,plain,
( k5_pre_topc(sK4845,sK4846,sF4849,sF4854) = k3_tex_4(sK4845,sF4854)
| ~ spl4858_1173 ),
inference(resolution,[],[f103385,f93580]) ).
fof(f103399,plain,
( k5_pre_topc(sK4845,sK4846,sF4849,sF4855) = k3_tex_4(sK4845,sF4855)
| ~ spl4858_1170 ),
inference(resolution,[],[f103385,f93567]) ).
fof(f103400,plain,
( k3_tex_4(sK4845,sF4856) = k5_pre_topc(sK4845,sK4846,sF4849,sF4856)
| ~ spl4858_1175 ),
inference(resolution,[],[f103385,f93618]) ).
fof(f103404,plain,
( k3_tex_4(sK4845,sK4848) = k3_tex_4(sK4845,sF4855)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f103399,f98576]) ).
fof(f103406,plain,
( k3_tex_4(sK4845,sF4851) = k3_tex_4(sK4845,sF4852)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174 ),
inference(forward_demodulation,[],[f103396,f98575]) ).
fof(f103409,plain,
( k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,sF4851)) = k9_relat_1(sF4849,sF4852)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1305 ),
inference(superposition,[],[f100312,f103406]) ).
fof(f103420,plain,
( sF4852 = k9_relat_1(sF4849,sF4852)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1305 ),
inference(forward_demodulation,[],[f103409,f98744]) ).
fof(f103438,plain,
( ! [X0] :
( r1_tarski(sF4852,k9_relat_1(sF4849,X0))
| ~ r1_tarski(sF4852,X0)
| ~ v1_relat_1(sF4849) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1305 ),
inference(superposition,[],[f42058,f103420]) ).
fof(f103439,plain,
( ! [X0] :
( r1_tarski(sF4852,k9_relat_1(sF4849,X0))
| ~ r1_tarski(sF4852,X0) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1287
| ~ spl4858_1305 ),
inference(forward_subsumption_resolution,[],[f103438,f98089]) ).
fof(f104932,plain,
! [X0] :
( k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k10_relat_1(k4_tsp_2(sK4845,sK4846),X0)
| v3_struct_0(sK4845)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ l1_struct_0(sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(resolution,[],[f97517,f69177]) ).
fof(f104933,plain,
! [X0] :
( k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k10_relat_1(k4_tsp_2(sK4845,sK4846),X0)
| ~ v2_pre_topc(sK4845)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ l1_struct_0(sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f104932,f69175]) ).
fof(f104934,plain,
! [X0] :
( k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k10_relat_1(k4_tsp_2(sK4845,sK4846),X0)
| ~ l1_pre_topc(sK4845)
| v3_struct_0(sK4846)
| ~ l1_struct_0(sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f104933,f69174]) ).
fof(f104935,plain,
! [X0] :
( k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k10_relat_1(k4_tsp_2(sK4845,sK4846),X0)
| v3_struct_0(sK4846)
| ~ l1_struct_0(sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f104934,f69173]) ).
fof(f104936,plain,
! [X0] :
( k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k10_relat_1(k4_tsp_2(sK4845,sK4846),X0)
| ~ l1_struct_0(sK4846)
| ~ m1_pre_topc(sK4846,sK4845) ),
inference(forward_subsumption_resolution,[],[f104935,f69178]) ).
fof(f104937,plain,
( ! [X0] :
( k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k10_relat_1(k4_tsp_2(sK4845,sK4846),X0)
| ~ m1_pre_topc(sK4846,sK4845) )
| ~ spl4858_1165 ),
inference(forward_subsumption_resolution,[],[f104936,f93530]) ).
fof(f104938,plain,
( ! [X0] : k5_pre_topc(sK4845,sK4846,k4_tsp_2(sK4845,sK4846),X0) = k10_relat_1(k4_tsp_2(sK4845,sK4846),X0)
| ~ spl4858_1165 ),
inference(forward_subsumption_resolution,[],[f104937,f93781]) ).
fof(f104939,plain,
( ! [X0] : k5_pre_topc(sK4845,sK4846,sF4849,X0) = k10_relat_1(sF4849,X0)
| ~ spl4858_1165 ),
inference(forward_demodulation,[],[f104938,f81663]) ).
fof(f104951,plain,
( k3_tex_4(sK4845,sF4851) = k10_relat_1(sF4849,sF4852)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f98575,f104939]) ).
fof(f104954,plain,
( k3_tex_4(sK4845,sK4848) = k10_relat_1(sF4849,sF4855)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f98576,f104939]) ).
fof(f104955,plain,
( k3_tex_4(sK4845,sF4856) = k10_relat_1(sF4849,sF4856)
| ~ spl4858_1165
| ~ spl4858_1175 ),
inference(superposition,[],[f103400,f104939]) ).
fof(f104956,plain,
( k3_tex_4(sK4845,sF4855) = k10_relat_1(sF4849,sF4855)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f104954,f103404]) ).
fof(f104979,plain,
( m1_subset_1(k10_relat_1(sF4849,sF4855),sF4857)
| ~ m1_subset_1(sF4855,sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f93967,f104956]) ).
fof(f104983,plain,
( m1_subset_1(k10_relat_1(sF4849,sF4855),sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(forward_subsumption_resolution,[],[f104979,f100176]) ).
fof(f104998,plain,
( sF4852 = k5_subset_1(sF4850,sF4853,k10_relat_1(sF4849,sF4852))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f98744,f104951]) ).
fof(f105011,plain,
( m1_subset_1(k10_relat_1(sF4849,sF4852),sF4857)
| ~ m1_subset_1(sF4851,sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f93967,f104951]) ).
fof(f105015,plain,
( m1_subset_1(k10_relat_1(sF4849,sF4852),sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_subsumption_resolution,[],[f105011,f93623]) ).
fof(f105099,plain,
( r1_tarski(sF4856,k10_relat_1(sF4849,sF4856))
| ~ m1_subset_1(sF4856,sF4857)
| ~ spl4858_1165
| ~ spl4858_1175 ),
inference(superposition,[],[f95041,f104955]) ).
fof(f105105,definition,
( spl4858_1588
<=> m1_subset_1(sF4856,sF4857) ),
introduced(definition,[new_symbols(definition,[spl4858_1588])],[avatar_definition]) ).
fof(f105106,plain,
( m1_subset_1(sF4856,sF4857)
| ~ spl4858_1588 ),
inference(avatar_component_clause,[],[f105105]) ).
fof(f105107,plain,
( ~ m1_subset_1(sF4856,sF4857)
| spl4858_1588 ),
inference(avatar_component_clause,[],[f105105]) ).
fof(f105114,definition,
( spl4858_1590
<=> r1_tarski(sF4856,k10_relat_1(sF4849,sF4856)) ),
introduced(definition,[new_symbols(definition,[spl4858_1590])],[avatar_definition]) ).
fof(f105116,plain,
( r1_tarski(sF4856,k10_relat_1(sF4849,sF4856))
| ~ spl4858_1590 ),
inference(avatar_component_clause,[],[f105114]) ).
fof(f105117,plain,
( ~ spl4858_1588
| spl4858_1590
| ~ spl4858_1165
| ~ spl4858_1175 ),
inference(avatar_split_clause,[],[f105099,f93616,f93529,f105114,f105105]) ).
fof(f105208,plain,
( k5_subset_1(sF4850,sF4853,k10_relat_1(sF4849,sF4852)) = k1_setfam_1(k2_tarski(sF4853,k10_relat_1(sF4849,sF4852)))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f105015,f93657]) ).
fof(f105288,plain,
( sF4852 = k1_setfam_1(k2_tarski(sF4853,k10_relat_1(sF4849,sF4852)))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f105208,f104998]) ).
fof(f105435,plain,
k5_subset_1(sF4850,sK4847,u1_struct_0(sK4846)) = k5_subset_1(sF4850,u1_struct_0(sK4846),sK4847),
inference(resolution,[],[f93769,f69176]) ).
fof(f105436,plain,
k5_subset_1(sF4850,sK4847,sF4853) = k5_subset_1(sF4850,sF4853,sK4847),
inference(forward_demodulation,[],[f105435,f81671]) ).
fof(f105437,plain,
k5_subset_1(sF4850,sK4847,sF4853) = k1_setfam_1(k2_tarski(sF4853,sK4847)),
inference(forward_demodulation,[],[f105436,f93717]) ).
fof(f105438,plain,
( sF4854 = k5_subset_1(sF4850,sK4847,sF4853)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f105437,f98748]) ).
fof(f105439,plain,
( sF4854 = k1_setfam_1(k2_tarski(sK4847,sF4853))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f105438,f93656]) ).
fof(f105440,plain,
( sF4854 = sK4777(sK4846,sK4847)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f105439,f94843]) ).
fof(f107368,definition,
( spl4858_1636
<=> sK4848 = k10_relat_1(sF4849,sF4855) ),
introduced(definition,[new_symbols(definition,[spl4858_1636])],[avatar_definition]) ).
fof(f107370,plain,
( sK4848 = k10_relat_1(sF4849,sF4855)
| ~ spl4858_1636 ),
inference(avatar_component_clause,[],[f107368]) ).
fof(f107607,plain,
( k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855))) = k5_subset_1(sF4850,sK4847,k10_relat_1(sF4849,sF4855))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(resolution,[],[f104983,f93591]) ).
fof(f107611,plain,
( k5_subset_1(sF4850,sK4847,k10_relat_1(sF4849,sF4855)) = k5_subset_1(sF4850,k10_relat_1(sF4849,sF4855),sK4847)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(resolution,[],[f104983,f93704]) ).
fof(f107901,plain,
( ! [X0,X1] :
( ~ v1_relat_1(sF4849)
| k9_relat_1(sF4849,k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(sF4849,X1)))) = k4_xboole_0(k9_relat_1(sF4849,X0),k4_xboole_0(k9_relat_1(sF4849,X0),X1)) )
| ~ spl4858_1169 ),
inference(resolution,[],[f70086,f93562]) ).
fof(f107902,plain,
( ! [X0,X1] : k9_relat_1(sF4849,k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(sF4849,X1)))) = k4_xboole_0(k9_relat_1(sF4849,X0),k4_xboole_0(k9_relat_1(sF4849,X0),X1))
| ~ spl4858_1169
| ~ spl4858_1287 ),
inference(forward_subsumption_resolution,[],[f107901,f98089]) ).
fof(f107906,plain,
( ! [X0,X1] : k9_relat_1(sF4849,k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(sF4849,X1)))) = k1_setfam_1(k2_tarski(k9_relat_1(sF4849,X0),X1))
| ~ spl4858_1169
| ~ spl4858_1287 ),
inference(forward_demodulation,[],[f107902,f69781]) ).
fof(f107910,plain,
( ! [X0,X1] : k1_setfam_1(k2_tarski(k9_relat_1(sF4849,X0),X1)) = k9_relat_1(sF4849,k1_setfam_1(k2_tarski(X0,k10_relat_1(sF4849,X1))))
| ~ spl4858_1169
| ~ spl4858_1287 ),
inference(forward_demodulation,[],[f107906,f69781]) ).
fof(f110276,definition,
( spl4858_1753
<=> r1_tarski(sF4852,sF4856) ),
introduced(definition,[new_symbols(definition,[spl4858_1753])],[avatar_definition]) ).
fof(f110277,plain,
( ~ r1_tarski(sF4852,sF4856)
| spl4858_1753 ),
inference(avatar_component_clause,[],[f110276]) ).
fof(f110278,plain,
( r1_tarski(sF4852,sF4856)
| ~ spl4858_1753 ),
inference(avatar_component_clause,[],[f110276]) ).
fof(f110305,plain,
( ~ r1_tarski(sF4852,sF4854)
| r1_tarski(sF4852,sF4856)
| ~ spl4858_1170
| ~ spl4858_1173
| ~ spl4858_1344 ),
inference(resolution,[],[f99519,f99369]) ).
fof(f110890,plain,
( k5_subset_1(sF4853,sF4854,sF4855) = k5_subset_1(sF4853,sF4855,sF4854)
| ~ spl4858_1170
| ~ spl4858_1173 ),
inference(resolution,[],[f97851,f93567]) ).
fof(f110898,plain,
( k5_subset_1(sF4853,sF4854,sF4855) = k1_setfam_1(k2_tarski(sF4855,sF4854))
| ~ spl4858_1170
| ~ spl4858_1173 ),
inference(forward_demodulation,[],[f110890,f99325]) ).
fof(f110907,plain,
( sF4856 = k1_setfam_1(k2_tarski(sF4855,sF4854))
| ~ spl4858_1170
| ~ spl4858_1173 ),
inference(forward_demodulation,[],[f110898,f81677]) ).
fof(f110967,plain,
( r1_tarski(sF4851,sK4847)
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4851,k1_pcomps_1(sF4850)) ),
inference(resolution,[],[f69691,f94257]) ).
fof(f110968,plain,
( r1_tarski(sF4851,sK4848)
| ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4851,k1_pcomps_1(sF4850)) ),
inference(resolution,[],[f69691,f94261]) ).
fof(f110976,plain,
( ~ m1_subset_1(sK4848,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4851,k1_pcomps_1(sF4850))
| spl4858_1343 ),
inference(forward_subsumption_resolution,[],[f110968,f99515]) ).
fof(f110977,plain,
( ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4851,k1_pcomps_1(sF4850))
| spl4858_1341 ),
inference(forward_subsumption_resolution,[],[f110967,f99469]) ).
fof(f110981,plain,
( ~ m1_subset_1(sK4848,sF4857)
| ~ m1_subset_1(sF4851,k1_pcomps_1(sF4850))
| spl4858_1343 ),
inference(forward_demodulation,[],[f110976,f81680]) ).
fof(f110982,plain,
( ~ m1_subset_1(sK4847,sF4857)
| ~ m1_subset_1(sF4851,k1_pcomps_1(sF4850))
| spl4858_1341 ),
inference(forward_demodulation,[],[f110977,f81680]) ).
fof(f110985,plain,
( ~ m1_subset_1(sF4851,k1_pcomps_1(sF4850))
| spl4858_1343 ),
inference(forward_subsumption_resolution,[],[f110981,f81681]) ).
fof(f110986,plain,
( ~ m1_subset_1(sF4851,k1_pcomps_1(sF4850))
| spl4858_1341 ),
inference(forward_subsumption_resolution,[],[f110982,f81682]) ).
fof(f110988,plain,
( ~ m1_subset_1(sF4851,sF4857)
| spl4858_1343 ),
inference(forward_demodulation,[],[f110985,f81680]) ).
fof(f110989,plain,
( ~ m1_subset_1(sF4851,sF4857)
| spl4858_1341 ),
inference(forward_demodulation,[],[f110986,f81680]) ).
fof(f110991,plain,
( $false
| spl4858_1343 ),
inference(forward_subsumption_resolution,[],[f110988,f93623]) ).
fof(f110992,plain,
spl4858_1343,
inference(avatar_contradiction_clause,[],[f110991]) ).
fof(f110993,plain,
( $false
| spl4858_1341 ),
inference(forward_subsumption_resolution,[],[f110989,f93623]) ).
fof(f110994,plain,
spl4858_1341,
inference(avatar_contradiction_clause,[],[f110993]) ).
fof(f111243,plain,
( ~ r1_tarski(sF4856,sF4852)
| sF4852 = sF4856
| ~ spl4858_1753 ),
inference(resolution,[],[f110278,f40983]) ).
fof(f111244,plain,
( ~ r1_tarski(sF4856,sF4852)
| ~ spl4858_1753 ),
inference(forward_subsumption_resolution,[],[f111243,f81678]) ).
fof(f112412,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k9_relat_1(sF4849,k5_subset_1(sF4850,X0,sK4847)) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k5_subset_1(sF4850,X0,sK4847))) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f98734,f81682]) ).
fof(f112495,plain,
( k9_relat_1(sF4849,k5_subset_1(sF4850,k10_relat_1(sF4849,sF4855),sK4847)) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k5_subset_1(sF4850,k10_relat_1(sF4849,sF4855),sK4847)))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(resolution,[],[f112412,f104983]) ).
fof(f112522,plain,
( k9_relat_1(sF4849,k5_subset_1(sF4850,sK4847,k10_relat_1(sF4849,sF4855))) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k5_subset_1(sF4850,sK4847,k10_relat_1(sF4849,sF4855))))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(forward_demodulation,[],[f112495,f107611]) ).
fof(f112537,plain,
( k9_relat_1(sF4849,k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855)))) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855)))))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(forward_demodulation,[],[f112522,f107607]) ).
fof(f118045,plain,
( m1_subset_1(k4_xboole_0(sK4847,sF4853),k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4853,k1_pcomps_1(sF4850)) ),
inference(superposition,[],[f69757,f96066]) ).
fof(f118139,plain,
( m1_subset_1(k4_xboole_0(sK4847,sF4853),sF4857)
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4853,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f118045,f81680]) ).
fof(f118194,plain,
( ~ m1_subset_1(sK4847,sF4857)
| m1_subset_1(k4_xboole_0(sK4847,sF4853),sF4857)
| ~ m1_subset_1(sF4853,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f118139,f81680]) ).
fof(f118231,plain,
( m1_subset_1(k4_xboole_0(sK4847,sF4853),sF4857)
| ~ m1_subset_1(sF4853,k1_pcomps_1(sF4850)) ),
inference(forward_subsumption_resolution,[],[f118194,f81682]) ).
fof(f118267,plain,
( ~ m1_subset_1(sF4853,sF4857)
| m1_subset_1(k4_xboole_0(sK4847,sF4853),sF4857) ),
inference(forward_demodulation,[],[f118231,f81680]) ).
fof(f118302,plain,
m1_subset_1(k4_xboole_0(sK4847,sF4853),sF4857),
inference(forward_subsumption_resolution,[],[f118267,f93654]) ).
fof(f119480,plain,
k4_xboole_0(sK4847,k4_xboole_0(sK4847,sF4853)) = k6_subset_1(sF4850,sK4847,k4_xboole_0(sK4847,sF4853)),
inference(resolution,[],[f118302,f96043]) ).
fof(f119590,plain,
k1_setfam_1(k2_tarski(sK4847,sF4853)) = k6_subset_1(sF4850,sK4847,k4_xboole_0(sK4847,sF4853)),
inference(forward_demodulation,[],[f119480,f69781]) ).
fof(f119615,plain,
( sK4777(sK4846,sK4847) = k6_subset_1(sF4850,sK4847,k4_xboole_0(sK4847,sF4853))
| ~ spl4858_2 ),
inference(forward_demodulation,[],[f119590,f94843]) ).
fof(f119625,plain,
( sF4854 = k6_subset_1(sF4850,sK4847,k4_xboole_0(sK4847,sF4853))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f119615,f105440]) ).
fof(f119630,plain,
( m1_subset_1(sF4854,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(k4_xboole_0(sK4847,sF4853),k1_pcomps_1(sF4850))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f69757,f119625]) ).
fof(f119631,plain,
( m1_subset_1(sF4854,sF4857)
| ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(k4_xboole_0(sK4847,sF4853),k1_pcomps_1(sF4850))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f119630,f81680]) ).
fof(f119632,plain,
( ~ m1_subset_1(sK4847,k1_pcomps_1(sF4850))
| ~ m1_subset_1(k4_xboole_0(sK4847,sF4853),k1_pcomps_1(sF4850))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1354 ),
inference(forward_subsumption_resolution,[],[f119631,f99613]) ).
fof(f119633,plain,
( ~ m1_subset_1(sK4847,sF4857)
| ~ m1_subset_1(k4_xboole_0(sK4847,sF4853),k1_pcomps_1(sF4850))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1354 ),
inference(forward_demodulation,[],[f119632,f81680]) ).
fof(f119634,plain,
( ~ m1_subset_1(k4_xboole_0(sK4847,sF4853),k1_pcomps_1(sF4850))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1354 ),
inference(forward_subsumption_resolution,[],[f119633,f81682]) ).
fof(f119635,plain,
( ~ m1_subset_1(k4_xboole_0(sK4847,sF4853),sF4857)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1354 ),
inference(forward_demodulation,[],[f119634,f81680]) ).
fof(f119636,plain,
( $false
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1354 ),
inference(forward_subsumption_resolution,[],[f119635,f118302]) ).
fof(f119637,plain,
( ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1354 ),
inference(avatar_contradiction_clause,[],[f119636]) ).
fof(f119687,plain,
( k1_setfam_1(k2_tarski(sF4855,sF4854)) = k5_subset_1(sF4850,sF4855,sF4854)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(resolution,[],[f99612,f100229]) ).
fof(f119688,plain,
( k5_subset_1(sF4850,sF4855,sF4854) = k5_subset_1(sF4850,sF4854,sF4855)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(resolution,[],[f99612,f100232]) ).
fof(f119751,plain,
( k1_setfam_1(k2_tarski(sF4855,sF4854)) = k5_subset_1(sF4850,sF4854,sF4855)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(forward_demodulation,[],[f119687,f119688]) ).
fof(f119780,plain,
( sF4856 = k5_subset_1(sF4850,sF4854,sF4855)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(forward_demodulation,[],[f119751,f110907]) ).
fof(f119812,plain,
( m1_subset_1(sF4856,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4854,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4855,k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(superposition,[],[f69753,f119780]) ).
fof(f119813,plain,
( m1_subset_1(sF4856,sF4857)
| ~ m1_subset_1(sF4854,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4855,k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(forward_demodulation,[],[f119812,f81680]) ).
fof(f119821,plain,
( ~ m1_subset_1(sF4854,k1_pcomps_1(sF4850))
| ~ m1_subset_1(sF4855,k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| spl4858_1588 ),
inference(forward_subsumption_resolution,[],[f119813,f105107]) ).
fof(f119829,plain,
( ~ m1_subset_1(sF4854,sF4857)
| ~ m1_subset_1(sF4855,k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| spl4858_1588 ),
inference(forward_demodulation,[],[f119821,f81680]) ).
fof(f119838,plain,
( ~ m1_subset_1(sF4855,k1_pcomps_1(sF4850))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| spl4858_1588 ),
inference(forward_subsumption_resolution,[],[f119829,f99612]) ).
fof(f119847,plain,
( ~ m1_subset_1(sF4855,sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| spl4858_1588 ),
inference(forward_demodulation,[],[f119838,f81680]) ).
fof(f119849,plain,
( $false
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| spl4858_1588 ),
inference(forward_subsumption_resolution,[],[f119847,f100176]) ).
fof(f119850,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| spl4858_1588 ),
inference(avatar_contradiction_clause,[],[f119849]) ).
fof(f119903,plain,
( k9_relat_1(sF4849,sF4856) = k9_relat_1(sF4849,k3_tex_4(sK4845,sF4856))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1588 ),
inference(resolution,[],[f105106,f98109]) ).
fof(f119906,plain,
( k3_tex_4(sK4845,sF4856) = k5_pre_topc(sK4845,sK4846,sF4849,k9_relat_1(sF4849,sF4856))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1588 ),
inference(resolution,[],[f105106,f98564]) ).
fof(f119979,plain,
( k3_tex_4(sK4845,sF4856) = k3_tex_4(sK4845,k9_relat_1(sF4849,sF4856))
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1588 ),
inference(forward_demodulation,[],[f119906,f103386]) ).
fof(f119981,plain,
( k9_relat_1(sF4849,sF4856) = k9_relat_1(sF4849,k10_relat_1(sF4849,sF4856))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1588 ),
inference(forward_demodulation,[],[f119903,f104955]) ).
fof(f120001,plain,
( k10_relat_1(sF4849,sF4856) = k3_tex_4(sK4845,k9_relat_1(sF4849,sF4856))
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1588 ),
inference(forward_demodulation,[],[f119979,f104955]) ).
fof(f120365,plain,
( k3_tex_4(sK4845,sK4847) = k10_relat_1(sF4849,sF4854)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f98577,f104939]) ).
fof(f120374,plain,
( k3_tex_4(sK4845,sF4854) = k10_relat_1(sF4849,sF4854)
| ~ spl4858_1165
| ~ spl4858_1173 ),
inference(forward_demodulation,[],[f103398,f104939]) ).
fof(f120387,plain,
( k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855))))) = k1_setfam_1(k2_tarski(k9_relat_1(sF4849,sK4847),sF4855))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287
| ~ spl4858_1301 ),
inference(forward_demodulation,[],[f112537,f107910]) ).
fof(f120482,plain,
( k1_setfam_1(k2_tarski(sF4854,sF4855)) = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855)))))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287
| ~ spl4858_1301 ),
inference(forward_demodulation,[],[f120387,f98065]) ).
fof(f120508,plain,
( sF4856 = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855)))))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1287
| ~ spl4858_1301 ),
inference(forward_demodulation,[],[f120482,f99358]) ).
fof(f120581,plain,
( ~ m1_subset_1(sK4848,sF4857)
| sK4848 = k3_tex_4(sK4845,sK4848)
| ~ spl4858_1 ),
inference(resolution,[],[f81896,f97313]) ).
fof(f120598,plain,
( sK4848 = k3_tex_4(sK4845,sK4848)
| ~ spl4858_1 ),
inference(forward_subsumption_resolution,[],[f120581,f81681]) ).
fof(f120605,plain,
( sK4848 = k3_tex_4(sK4845,sF4855)
| ~ spl4858_1
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f120598,f103404]) ).
fof(f120610,plain,
( sK4848 = k10_relat_1(sF4849,sF4855)
| ~ spl4858_1
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f120605,f104956]) ).
fof(f120612,plain,
( spl4858_1636
| ~ spl4858_1
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(avatar_split_clause,[],[f120610,f93573,f93569,f93565,f93561,f93541,f93529,f81894,f107368]) ).
fof(f120898,definition,
( spl4858_2082
<=> sK4847 = k10_relat_1(sF4849,sF4854) ),
introduced(definition,[new_symbols(definition,[spl4858_2082])],[avatar_definition]) ).
fof(f120900,plain,
( sK4847 = k10_relat_1(sF4849,sF4854)
| ~ spl4858_2082 ),
inference(avatar_component_clause,[],[f120898]) ).
fof(f121765,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF4849,sF4856),k9_relat_1(sF4849,X0))
| ~ r1_tarski(k10_relat_1(sF4849,sF4856),X0)
| ~ v1_relat_1(sF4849) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1588 ),
inference(superposition,[],[f42058,f119981]) ).
fof(f121766,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF4849,sF4856),k9_relat_1(sF4849,X0))
| ~ r1_tarski(k10_relat_1(sF4849,sF4856),X0) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1287
| ~ spl4858_1588 ),
inference(forward_subsumption_resolution,[],[f121765,f98089]) ).
fof(f121807,definition,
( spl4858_2111
<=> r1_tarski(k9_relat_1(sF4849,sF4856),sF4852) ),
introduced(definition,[new_symbols(definition,[spl4858_2111])],[avatar_definition]) ).
fof(f121809,plain,
( r1_tarski(k9_relat_1(sF4849,sF4856),sF4852)
| ~ spl4858_2111 ),
inference(avatar_component_clause,[],[f121807]) ).
fof(f121816,definition,
( spl4858_2113
<=> r1_tarski(sF4852,k9_relat_1(sF4849,sF4856)) ),
introduced(definition,[new_symbols(definition,[spl4858_2113])],[avatar_definition]) ).
fof(f121817,plain,
( ~ r1_tarski(sF4852,k9_relat_1(sF4849,sF4856))
| spl4858_2113 ),
inference(avatar_component_clause,[],[f121816]) ).
fof(f123318,plain,
( r1_tarski(k9_relat_1(sF4849,sF4856),sF4852)
| ~ r1_tarski(k10_relat_1(sF4849,sF4856),k3_tex_4(sK4845,sF4851))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1287
| ~ spl4858_1588 ),
inference(superposition,[],[f121766,f98120]) ).
fof(f123335,plain,
( ~ r1_tarski(k10_relat_1(sF4849,sF4856),k10_relat_1(sF4849,sF4852))
| r1_tarski(k9_relat_1(sF4849,sF4856),sF4852)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1287
| ~ spl4858_1588 ),
inference(forward_demodulation,[],[f123318,f104951]) ).
fof(f123347,definition,
( spl4858_2194
<=> r1_tarski(k10_relat_1(sF4849,sF4856),k10_relat_1(sF4849,sF4852)) ),
introduced(definition,[new_symbols(definition,[spl4858_2194])],[avatar_definition]) ).
fof(f123349,plain,
( ~ r1_tarski(k10_relat_1(sF4849,sF4856),k10_relat_1(sF4849,sF4852))
| spl4858_2194 ),
inference(avatar_component_clause,[],[f123347]) ).
fof(f123374,plain,
( spl4858_2111
| ~ spl4858_2194
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1287
| ~ spl4858_1588 ),
inference(avatar_split_clause,[],[f123335,f105105,f98088,f93616,f93573,f93569,f93561,f93541,f93529,f123347,f121807]) ).
fof(f128023,plain,
( ! [X0] :
( ~ r1_tarski(X0,k10_relat_1(sF4849,sF4852))
| ~ r1_tarski(X0,sF4853)
| r1_tarski(X0,sF4852) )
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(superposition,[],[f88498,f105288]) ).
fof(f128360,plain,
( sF4856 = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,sK4848))))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1287
| ~ spl4858_1301
| ~ spl4858_1636 ),
inference(superposition,[],[f120508,f107370]) ).
fof(f128376,plain,
( sF4856 = k5_subset_1(sF4850,sF4853,k3_tex_4(sK4845,sF4851))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1287
| ~ spl4858_1301
| ~ spl4858_1636 ),
inference(forward_demodulation,[],[f128360,f93602]) ).
fof(f128379,plain,
( sF4852 = sF4856
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1287
| ~ spl4858_1301
| ~ spl4858_1636 ),
inference(forward_demodulation,[],[f128376,f98744]) ).
fof(f128382,plain,
( $false
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1287
| ~ spl4858_1301
| ~ spl4858_1636 ),
inference(forward_subsumption_resolution,[],[f128379,f81678]) ).
fof(f128383,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1287
| ~ spl4858_1301
| ~ spl4858_1636 ),
inference(avatar_contradiction_clause,[],[f128382]) ).
fof(f128665,plain,
( ~ m1_subset_1(sK4847,sF4857)
| sK4847 = k3_tex_4(sK4845,sK4847)
| ~ spl4858_2 ),
inference(resolution,[],[f81900,f97313]) ).
fof(f128666,plain,
( ! [X0] :
( ~ m1_subset_1(sK4847,sF4857)
| ~ m1_subset_1(X0,sF4857)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X0,sK4847)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,sK4847)) )
| ~ spl4858_2 ),
inference(resolution,[],[f81900,f97346]) ).
fof(f128681,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X0,sK4847)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,sK4847)) )
| ~ spl4858_2 ),
inference(forward_subsumption_resolution,[],[f128666,f81682]) ).
fof(f128682,plain,
( sK4847 = k3_tex_4(sK4845,sK4847)
| ~ spl4858_2 ),
inference(forward_subsumption_resolution,[],[f128665,f81682]) ).
fof(f128688,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF4857)
| k3_tex_4(sK4845,k5_subset_1(sF4850,X0,sK4847)) = k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k10_relat_1(sF4849,sF4854)) )
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f128681,f120365]) ).
fof(f128689,plain,
( sK4847 = k10_relat_1(sF4849,sF4854)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(forward_demodulation,[],[f128682,f120365]) ).
fof(f128692,plain,
( spl4858_2082
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(avatar_split_clause,[],[f128689,f93573,f93569,f93561,f93541,f93529,f81898,f120898]) ).
fof(f128879,plain,
( k3_tex_4(sK4845,k5_subset_1(sF4850,sK4848,sK4847)) = k5_subset_1(sF4850,k3_tex_4(sK4845,sK4848),k10_relat_1(sF4849,sF4854))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(resolution,[],[f128688,f81681]) ).
fof(f128885,plain,
( k3_tex_4(sK4845,k5_subset_1(sF4850,sF4855,sK4847)) = k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),k10_relat_1(sF4849,sF4854))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301 ),
inference(resolution,[],[f128688,f100176]) ).
fof(f128888,plain,
( k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),sK4847) = k3_tex_4(sK4845,k5_subset_1(sF4850,sF4855,sK4847))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128885,f120900]) ).
fof(f128894,plain,
( k5_subset_1(sF4850,k3_tex_4(sK4845,sK4848),sK4847) = k3_tex_4(sK4845,k5_subset_1(sF4850,sK4848,sK4847))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128879,f120900]) ).
fof(f128929,plain,
( k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),sK4847) = k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,sF4855)))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128888,f100272]) ).
fof(f128935,plain,
( k5_subset_1(sF4850,k3_tex_4(sK4845,sK4848),sK4847) = k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4848,sK4847)))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128894,f93604]) ).
fof(f128961,plain,
( k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,sF4855))) = k5_subset_1(sF4850,k10_relat_1(sF4849,sF4855),sK4847)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128929,f104956]) ).
fof(f128967,plain,
( k3_tex_4(sK4845,sF4851) = k5_subset_1(sF4850,k3_tex_4(sK4845,sK4848),sK4847)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128935,f93768]) ).
fof(f128993,plain,
( k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,sF4855))) = k5_subset_1(sF4850,sK4847,k10_relat_1(sF4849,sF4855))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128961,f107611]) ).
fof(f128999,plain,
( k3_tex_4(sK4845,sF4851) = k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),sK4847)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128967,f103404]) ).
fof(f129008,plain,
( k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,sF4855))) = k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855)))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128993,f107607]) ).
fof(f129014,plain,
( k3_tex_4(sK4845,sF4851) = k5_subset_1(sF4850,k10_relat_1(sF4849,sF4855),sK4847)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f128999,f104956]) ).
fof(f129028,plain,
( k3_tex_4(sK4845,sF4851) = k5_subset_1(sF4850,sK4847,k10_relat_1(sF4849,sF4855))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f129014,f107611]) ).
fof(f129041,plain,
( k3_tex_4(sK4845,sF4851) = k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855)))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f129028,f107607]) ).
fof(f129046,plain,
( k3_tex_4(sK4845,sF4851) = k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,sF4855)))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f129041,f129008]) ).
fof(f129048,plain,
( k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,sF4855))) = k10_relat_1(sF4849,sF4852)
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f129046,f104951]) ).
fof(f137117,plain,
( r1_tarski(sF4852,sF4856)
| ~ spl4858_1170
| ~ spl4858_1173
| ~ spl4858_1318
| ~ spl4858_1344 ),
inference(forward_subsumption_resolution,[],[f110305,f98986]) ).
fof(f137119,definition,
( spl4858_2539
<=> r1_tarski(sF4856,sF4852) ),
introduced(definition,[new_symbols(definition,[spl4858_2539])],[avatar_definition]) ).
fof(f137120,plain,
( ~ r1_tarski(sF4856,sF4852)
| spl4858_2539 ),
inference(avatar_component_clause,[],[f137119]) ).
fof(f137123,plain,
( $false
| ~ spl4858_1170
| ~ spl4858_1173
| ~ spl4858_1318
| ~ spl4858_1344
| spl4858_1753 ),
inference(forward_subsumption_resolution,[],[f137117,f110277]) ).
fof(f137124,plain,
( ~ spl4858_1170
| ~ spl4858_1173
| ~ spl4858_1318
| ~ spl4858_1344
| spl4858_1753 ),
inference(avatar_contradiction_clause,[],[f137123]) ).
fof(f137125,plain,
( ~ spl4858_2539
| ~ spl4858_1753 ),
inference(avatar_split_clause,[],[f111244,f110276,f137119]) ).
fof(f137135,plain,
( ~ r1_tarski(sF4852,k9_relat_1(sF4849,sF4856))
| sF4852 = k9_relat_1(sF4849,sF4856)
| ~ spl4858_2111 ),
inference(resolution,[],[f121809,f40983]) ).
fof(f137137,definition,
( spl4858_2540
<=> sF4852 = k9_relat_1(sF4849,sF4856) ),
introduced(definition,[new_symbols(definition,[spl4858_2540])],[avatar_definition]) ).
fof(f137139,plain,
( sF4852 = k9_relat_1(sF4849,sF4856)
| ~ spl4858_2540 ),
inference(avatar_component_clause,[],[f137137]) ).
fof(f137140,plain,
( spl4858_2540
| ~ spl4858_2113
| ~ spl4858_2111 ),
inference(avatar_split_clause,[],[f137135,f121807,f121816,f137137]) ).
fof(f139297,plain,
( ~ r1_tarski(sF4852,sF4856)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1287
| ~ spl4858_1305
| spl4858_2113 ),
inference(resolution,[],[f121817,f103439]) ).
fof(f139301,plain,
( $false
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1287
| ~ spl4858_1305
| ~ spl4858_1753
| spl4858_2113 ),
inference(forward_subsumption_resolution,[],[f139297,f110278]) ).
fof(f139302,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1287
| ~ spl4858_1305
| ~ spl4858_1753
| spl4858_2113 ),
inference(avatar_contradiction_clause,[],[f139301]) ).
fof(f139303,plain,
( k3_tex_4(sK4845,sF4852) = k10_relat_1(sF4849,sF4856)
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_2540 ),
inference(superposition,[],[f120001,f137139]) ).
fof(f139350,plain,
( k3_tex_4(sK4845,sF4851) = k10_relat_1(sF4849,sF4856)
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_2540 ),
inference(forward_demodulation,[],[f139303,f103406]) ).
fof(f139352,plain,
( k10_relat_1(sF4849,sF4852) = k10_relat_1(sF4849,sF4856)
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_2540 ),
inference(forward_demodulation,[],[f139350,f104951]) ).
fof(f139353,plain,
( r1_tarski(sF4856,k10_relat_1(sF4849,sF4852))
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_1590
| ~ spl4858_2540 ),
inference(superposition,[],[f105116,f139352]) ).
fof(f139474,plain,
( ~ r1_tarski(sF4856,sF4853)
| r1_tarski(sF4856,sF4852)
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_1590
| ~ spl4858_2540 ),
inference(resolution,[],[f139353,f128023]) ).
fof(f139489,plain,
( r1_tarski(sF4856,sF4852)
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_1590
| ~ spl4858_2540 ),
inference(forward_subsumption_resolution,[],[f139474,f98270]) ).
fof(f139490,plain,
( $false
| ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_1590
| spl4858_2539
| ~ spl4858_2540 ),
inference(forward_subsumption_resolution,[],[f139489,f137120]) ).
fof(f139491,plain,
( ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_1590
| spl4858_2539
| ~ spl4858_2540 ),
inference(avatar_contradiction_clause,[],[f139490]) ).
fof(f420746,plain,
! [X0,X1] :
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,X0,X1)),k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,X1)))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| v3_struct_0(sK4845)
| ~ l1_pre_topc(sK4845) ),
inference(superposition,[],[f78772,f81665]) ).
fof(f421031,plain,
! [X0,X1] :
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,X0,X1)),k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,X1)))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ m1_subset_1(X0,k1_pcomps_1(sF4850))
| ~ l1_pre_topc(sK4845) ),
inference(forward_subsumption_resolution,[],[f420746,f69175]) ).
fof(f421174,plain,
! [X0,X1] :
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,X0,X1)),k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,X1)))
| ~ m1_subset_1(X1,k1_pcomps_1(sF4850))
| ~ m1_subset_1(X0,k1_pcomps_1(sF4850)) ),
inference(forward_subsumption_resolution,[],[f421031,f69173]) ).
fof(f421316,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF4857)
| r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,X0,X1)),k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,X1)))
| ~ m1_subset_1(X0,k1_pcomps_1(sF4850)) ),
inference(forward_demodulation,[],[f421174,f81680]) ).
fof(f421457,plain,
! [X0,X1] :
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,X0,X1)),k5_subset_1(sF4850,k3_tex_4(sK4845,X0),k3_tex_4(sK4845,X1)))
| ~ m1_subset_1(X1,sF4857)
| ~ m1_subset_1(X0,sF4857) ),
inference(forward_demodulation,[],[f421316,f81680]) ).
fof(f422641,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),k3_tex_4(sK4845,sF4854)))
| ~ m1_subset_1(sF4854,sF4857)
| ~ m1_subset_1(sF4855,sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(superposition,[],[f421457,f119688]) ).
fof(f422935,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),k3_tex_4(sK4845,sF4854)))
| ~ m1_subset_1(sF4855,sF4857)
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(forward_subsumption_resolution,[],[f422641,f99612]) ).
fof(f423476,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),k3_tex_4(sK4845,sF4854)))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(forward_subsumption_resolution,[],[f422935,f100176]) ).
fof(f423973,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),k10_relat_1(sF4849,sF4854)))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354 ),
inference(forward_demodulation,[],[f423476,f120374]) ).
fof(f424432,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k5_subset_1(sF4850,k3_tex_4(sK4845,sF4855),sK4847))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f423973,f120900]) ).
fof(f424842,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k5_subset_1(sF4850,k10_relat_1(sF4849,sF4855),sK4847))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f424432,f104956]) ).
fof(f425195,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k5_subset_1(sF4850,sK4847,k10_relat_1(sF4849,sF4855)))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f424842,f107611]) ).
fof(f425488,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k1_setfam_1(k2_tarski(sK4847,k10_relat_1(sF4849,sF4855))))
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f425195,f107607]) ).
fof(f425720,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k3_tex_4(sK4845,k1_setfam_1(k2_tarski(sK4847,sF4855))))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f425488,f129008]) ).
fof(f425912,plain,
( r1_tarski(k3_tex_4(sK4845,k5_subset_1(sF4850,sF4854,sF4855)),k10_relat_1(sF4849,sF4852))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f425720,f129048]) ).
fof(f434035,plain,
( r1_tarski(k3_tex_4(sK4845,sF4856),k10_relat_1(sF4849,sF4852))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f425912,f119780]) ).
fof(f434177,plain,
( r1_tarski(k10_relat_1(sF4849,sF4856),k10_relat_1(sF4849,sF4852))
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1175
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082 ),
inference(forward_demodulation,[],[f434035,f104955]) ).
fof(f434244,plain,
( $false
| ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1175
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082
| spl4858_2194 ),
inference(forward_subsumption_resolution,[],[f434177,f123349]) ).
fof(f434245,plain,
( ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1175
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082
| spl4858_2194 ),
inference(avatar_contradiction_clause,[],[f434244]) ).
cnf(s1,plain,
( spl4858_1
| spl4858_2 ),
inference(sat_conversion,[],[f81901]) ).
cnf(s990,plain,
( ~ spl4858_1165
| spl4858_1166 ),
inference(sat_conversion,[],[f93535]) ).
cnf(s992,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172 ),
inference(sat_conversion,[],[f93576]) ).
cnf(s993,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1173 ),
inference(sat_conversion,[],[f93581]) ).
cnf(s994,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1174 ),
inference(sat_conversion,[],[f93586]) ).
cnf(s995,plain,
( ~ spl4858_1170
| ~ spl4858_1173
| spl4858_1175 ),
inference(sat_conversion,[],[f93619]) ).
cnf(s997,plain,
spl4858_1163,
inference(sat_conversion,[],[f93674]) ).
cnf(s1000,plain,
( ~ spl4858_1163
| spl4858_1165 ),
inference(sat_conversion,[],[f93725]) ).
cnf(s1001,plain,
spl4858_1167,
inference(sat_conversion,[],[f93727]) ).
cnf(s1075,plain,
spl4858_1171,
inference(sat_conversion,[],[f97360]) ).
cnf(s1077,plain,
spl4858_1169,
inference(sat_conversion,[],[f97566]) ).
cnf(s1083,plain,
spl4858_1172,
inference(sat_conversion,[],[f97672]) ).
cnf(s1118,plain,
spl4858_1287,
inference(sat_conversion,[],[f98497]) ).
cnf(s1124,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1304
| spl4858_1305 ),
inference(sat_conversion,[],[f98798]) ).
cnf(s1144,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287
| spl4858_1318
| ~ spl4858_1341 ),
inference(sat_conversion,[],[f99470]) ).
cnf(s1147,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287
| ~ spl4858_1343
| spl4858_1344 ),
inference(sat_conversion,[],[f99520]) ).
cnf(s1171,plain,
spl4858_1301,
inference(sat_conversion,[],[f100157]) ).
cnf(s1179,plain,
( ~ spl4858_2
| ~ spl4858_1301
| spl4858_1304 ),
inference(sat_conversion,[],[f100226]) ).
cnf(s1335,plain,
( ~ spl4858_1165
| ~ spl4858_1175
| ~ spl4858_1588
| spl4858_1590 ),
inference(sat_conversion,[],[f105117]) ).
cnf(s1509,plain,
spl4858_1343,
inference(sat_conversion,[],[f110992]) ).
cnf(s1510,plain,
spl4858_1341,
inference(sat_conversion,[],[f110994]) ).
cnf(s1729,plain,
( ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1354 ),
inference(sat_conversion,[],[f119637]) ).
cnf(s1733,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1301
| ~ spl4858_1354
| spl4858_1588 ),
inference(sat_conversion,[],[f119850]) ).
cnf(s1764,plain,
( ~ spl4858_1
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_1636 ),
inference(sat_conversion,[],[f120612]) ).
cnf(s1849,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1175
| ~ spl4858_1287
| ~ spl4858_1588
| spl4858_2111
| ~ spl4858_2194 ),
inference(sat_conversion,[],[f123374]) ).
cnf(s1991,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1287
| ~ spl4858_1301
| ~ spl4858_1636 ),
inference(sat_conversion,[],[f128383]) ).
cnf(s2015,plain,
( ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| spl4858_2082 ),
inference(sat_conversion,[],[f128692]) ).
cnf(s2130,plain,
( ~ spl4858_1170
| ~ spl4858_1173
| ~ spl4858_1318
| ~ spl4858_1344
| spl4858_1753 ),
inference(sat_conversion,[],[f137124]) ).
cnf(s2131,plain,
( ~ spl4858_1753
| ~ spl4858_2539 ),
inference(sat_conversion,[],[f137125]) ).
cnf(s2132,plain,
( ~ spl4858_2111
| ~ spl4858_2113
| spl4858_2540 ),
inference(sat_conversion,[],[f137140]) ).
cnf(s2194,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1287
| ~ spl4858_1305
| ~ spl4858_1753
| spl4858_2113 ),
inference(sat_conversion,[],[f139302]) ).
cnf(s2201,plain,
( ~ spl4858_1165
| ~ spl4858_1166
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1174
| ~ spl4858_1175
| ~ spl4858_1588
| ~ spl4858_1590
| spl4858_2539
| ~ spl4858_2540 ),
inference(sat_conversion,[],[f139491]) ).
cnf(s7757,plain,
( ~ spl4858_2
| ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1170
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1173
| ~ spl4858_1175
| ~ spl4858_1301
| ~ spl4858_1354
| ~ spl4858_2082
| spl4858_2194 ),
inference(sat_conversion,[],[f434245]) ).
cnf(s7844,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287
| spl4858_1344 ),
inference(rat,[],[s1147,s1509]) ).
cnf(s7845,plain,
( ~ spl4858_1165
| ~ spl4858_1167
| ~ spl4858_1169
| ~ spl4858_1171
| ~ spl4858_1172
| ~ spl4858_1287
| spl4858_1318 ),
inference(rat,[],[s1144,s1510]) ).
cnf(s7946,plain,
spl4858_1165,
inference(rat,[],[s1000,s997]) ).
cnf(s7971,plain,
spl4858_1344,
inference(rat,[],[s7844,s1001,s1118,s1083,s1075,s1077,s7946]) ).
cnf(s7972,plain,
spl4858_1318,
inference(rat,[],[s7845,s1001,s1118,s1083,s1075,s1077,s7946]) ).
cnf(s8040,plain,
spl4858_1174,
inference(rat,[],[s994,s1083,s1075,s1077,s1001,s7946]) ).
cnf(s8048,plain,
spl4858_1173,
inference(rat,[],[s993,s1083,s1075,s1077,s1001,s7946]) ).
cnf(s8058,plain,
spl4858_1170,
inference(rat,[],[s992,s1083,s1075,s1077,s1001,s7946]) ).
cnf(s8059,plain,
spl4858_1753,
inference(rat,[],[s2130,s8048,s7971,s7972,s8058]) ).
cnf(s8067,plain,
~ spl4858_1636,
inference(rat,[],[s1991,s8048,s1171,s1118,s7946,s1083,s1075,s1001,s1077,s8058]) ).
cnf(s8078,plain,
~ spl4858_1,
inference(rat,[],[s1764,s8067,s1083,s1075,s7946,s1077,s1001,s8058]) ).
cnf(s8079,plain,
spl4858_1175,
inference(rat,[],[s995,s8048,s8058]) ).
cnf(s8082,plain,
~ spl4858_2539,
inference(rat,[],[s2131,s8059]) ).
cnf(s8139,plain,
spl4858_1166,
inference(rat,[],[s990,s7946]) ).
cnf(s8213,plain,
spl4858_2,
inference(rat,[],[s1,s8078]) ).
cnf(s8216,plain,
spl4858_2082,
inference(rat,[],[s2015,s7946,s1083,s1075,s1077,s1001,s8213]) ).
cnf(s8219,plain,
spl4858_1354,
inference(rat,[],[s1729,s7946,s1083,s1075,s1077,s1001,s8213]) ).
cnf(s8223,plain,
spl4858_1304,
inference(rat,[],[s1179,s1171,s8213]) ).
cnf(s8256,plain,
spl4858_1588,
inference(rat,[],[s1733,s8058,s8048,s1171,s7946,s1083,s1075,s1001,s1077,s8219]) ).
cnf(s8258,plain,
spl4858_2194,
inference(rat,[],[s7757,s8216,s8213,s8079,s1171,s8058,s8048,s1083,s1075,s7946,s1077,s1001,s8219]) ).
cnf(s8266,plain,
spl4858_1305,
inference(rat,[],[s1124,s7946,s1001,s1083,s1075,s1077,s8223]) ).
cnf(s8307,plain,
spl4858_2111,
inference(rat,[],[s1849,s8258,s8079,s7946,s1118,s1001,s1083,s1075,s1077,s8256]) ).
cnf(s8310,plain,
spl4858_1590,
inference(rat,[],[s1335,s8079,s7946,s8256]) ).
cnf(s8323,plain,
spl4858_2113,
inference(rat,[],[s2194,s8059,s8040,s7946,s1118,s1001,s1083,s1075,s1077,s8266]) ).
cnf(s8342,plain,
~ spl4858_2540,
inference(rat,[],[s2201,s8256,s8082,s8139,s8079,s8040,s7946,s1083,s1075,s1077,s1001,s8310]) ).
cnf(s8352,plain,
$false,
inference(rat,[],[s2132,s8307,s8342,s8323]) ).
fof(f434360,plain,
$false,
inference(avatar_sat_refutation,[],[s8352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP040+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:03:58 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 10.87/2.22 % (3673487)Detected formulas, will run a generic FOF schedule.
% 10.87/2.22 % (3673498)dis-21_1_sil=8000:lcm=predicate:random_seed=2748240639:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 10.87/2.22 % (3673496)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2089874136:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 10.87/2.22 % (3673497)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4105569047:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 10.87/2.22 % (3673492)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=989715440:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 10.87/2.22 % (3673495)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1468118363:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 10.87/2.22 % (3673493)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=3838157491:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 10.87/2.22 % (3673494)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=2965102843:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 10.87/2.22 % (3673497)Instruction limit reached!
% 10.87/2.22 % (3673497)------------------------------
% 10.87/2.22 % (3673497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.87/2.22 % (3673497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/2.22 % (3673497)CaDiCaL version: 2.1.3
% 10.87/2.22 % (3673497)Termination reason: Instruction limit
% 10.87/2.22 % (3673497)Termination phase: Property scanning
% 10.87/2.22 % (3673497)Time elapsed: 0.057 s
% 10.87/2.22 % (3673497)Peak memory usage: 102 MB
% 10.87/2.22 % (3673497)Instructions burned: 141 (million)
% 10.87/2.22 % (3673495)Instruction limit reached!
% 10.87/2.22 % (3673495)------------------------------
% 10.87/2.22 % (3673495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.87/2.22 % (3673495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/2.22 % (3673495)CaDiCaL version: 2.1.3
% 10.87/2.22 % (3673495)Termination reason: Instruction limit
% 10.87/2.22 % (3673495)Termination phase: Saturation
% 10.87/2.22 % (3673495)Time elapsed: 0.081 s
% 10.87/2.22 % (3673495)Peak memory usage: 107 MB
% 10.87/2.22 % (3673495)Instructions burned: 109 (million)
% 10.87/2.22 % (3673498)Instruction limit reached!
% 10.87/2.22 % (3673498)------------------------------
% 10.87/2.22 % (3673498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.87/2.22 % (3673498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/2.22 % (3673498)CaDiCaL version: 2.1.3
% 10.87/2.22 % (3673498)Termination reason: Instruction limit
% 10.87/2.22 % (3673498)Termination phase: Preprocessing 1
% 10.87/2.22 % (3673498)Time elapsed: 0.092 s
% 10.87/2.22 % (3673498)Peak memory usage: 103 MB
% 10.87/2.22 % (3673498)Instructions burned: 129 (million)
% 10.87/2.22 % (3673496)Instruction limit reached!
% 10.87/2.22 % (3673496)------------------------------
% 10.87/2.22 % (3673496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.87/2.22 % (3673496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/2.22 % (3673496)CaDiCaL version: 2.1.3
% 10.87/2.22 % (3673496)Termination reason: Instruction limit
% 10.87/2.22 % (3673496)Termination phase: Naming
% 10.87/2.22 % (3673496)Time elapsed: 0.100 s
% 10.87/2.22 % (3673496)Peak memory usage: 106 MB
% 10.87/2.22 % (3673496)Instructions burned: 119 (million)
% 10.87/2.22 % (3673506)lrs+10_1_sil=8000:sp=occurrence:random_seed=4166349749:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.87/2.22 % (3673507)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3746125074:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.87/2.22 % (3673508)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2880211560:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 10.87/2.22 % (3673509)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=2712872040:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 10.87/2.22 % (3673507)Instruction limit reached!
% 17.09/3.13 % (3673507)------------------------------
% 17.09/3.13 % (3673507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.13 % (3673507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.13 % (3673507)CaDiCaL version: 2.1.3
% 17.09/3.13 % (3673507)Termination reason: Instruction limit
% 17.09/3.13 % (3673507)Termination phase: Property scanning
% 17.09/3.13 % (3673507)Time elapsed: 0.067 s
% 17.09/3.13 % (3673507)Peak memory usage: 102 MB
% 17.09/3.13 % (3673507)Instructions burned: 159 (million)
% 17.09/3.13 % (3673508)Instruction limit reached!
% 17.09/3.13 % (3673508)------------------------------
% 17.09/3.13 % (3673508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.13 % (3673508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.13 % (3673508)CaDiCaL version: 2.1.3
% 17.09/3.13 % (3673508)Termination reason: Instruction limit
% 17.09/3.13 % (3673508)Termination phase: Saturation
% 17.09/3.13 % (3673508)Time elapsed: 0.126 s
% 17.09/3.13 % (3673508)Peak memory usage: 110 MB
% 17.09/3.13 % (3673508)Instructions burned: 327 (million)
% 17.09/3.13 % (3673509)Instruction limit reached!
% 17.09/3.13 % (3673509)------------------------------
% 17.09/3.13 % (3673509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.13 % (3673509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.13 % (3673509)CaDiCaL version: 2.1.3
% 17.09/3.13 % (3673509)Termination reason: Instruction limit
% 17.09/3.13 % (3673509)Termination phase: SInE selection
% 17.09/3.13 % (3673509)Time elapsed: 0.127 s
% 17.09/3.13 % (3673509)Peak memory usage: 103 MB
% 17.09/3.13 % (3673509)Instructions burned: 248 (million)
% 17.09/3.13 % (3673506)Instruction limit reached!
% 17.09/3.13 % (3673506)------------------------------
% 17.09/3.13 % (3673506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.13 % (3673506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.13 % (3673506)CaDiCaL version: 2.1.3
% 17.09/3.13 % (3673506)Termination reason: Instruction limit
% 17.09/3.13 % (3673506)Termination phase: Saturation
% 17.09/3.13 % (3673506)Time elapsed: 0.187 s
% 17.09/3.13 % (3673506)Peak memory usage: 111 MB
% 17.09/3.13 % (3673506)Instructions burned: 286 (million)
% 17.09/3.13 % (3673514)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2728905179:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 17.09/3.13 % (3673515)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2230215704:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 17.09/3.13 % (3673516)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=260479616:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 17.09/3.13 % (3673517)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2319073556:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 17.09/3.13 % (3673516)Instruction limit reached!
% 17.09/3.13 % (3673516)------------------------------
% 17.09/3.13 % (3673516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.13 % (3673516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.13 % (3673516)CaDiCaL version: 2.1.3
% 17.09/3.13 % (3673516)Termination reason: Instruction limit
% 17.09/3.13 % (3673516)Termination phase: Naming
% 17.09/3.13 % (3673516)Time elapsed: 0.098 s
% 17.09/3.13 % (3673516)Peak memory usage: 106 MB
% 17.09/3.13 % (3673516)Instructions burned: 115 (million)
% 17.09/3.13 % (3673514)Instruction limit reached!
% 17.09/3.13 % (3673514)------------------------------
% 17.09/3.13 % (3673514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.13 % (3673514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.13 % (3673514)CaDiCaL version: 2.1.3
% 17.09/3.13 % (3673514)Termination reason: Instruction limit
% 17.09/3.13 % (3673514)Termination phase: Property scanning
% 17.09/3.13 % (3673514)Time elapsed: 0.192 s
% 17.09/3.13 % (3673514)Peak memory usage: 109 MB
% 17.09/3.13 % (3673514)Instructions burned: 295 (million)
% 17.09/3.13 % (3673517)Instruction limit reached!
% 17.09/3.13 % (3673517)------------------------------
% 17.09/3.13 % (3673517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.13 % (3673517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.13 % (3673517)CaDiCaL version: 2.1.3
% 17.09/3.13 % (3673517)Termination reason: Instruction limit
% 48.09/7.46 % (3673517)Termination phase: Preprocessing 2
% 48.09/7.46 % (3673517)Time elapsed: 0.105 s
% 48.09/7.46 % (3673517)Peak memory usage: 106 MB
% 48.09/7.46 % (3673517)Instructions burned: 127 (million)
% 48.09/7.46 % (3673522)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1765859224:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 48.09/7.46 % (3673523)lrs+10_1_sil=8000:sp=occurrence:random_seed=1060342802:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 48.09/7.46 % (3673524)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2181153598:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 48.09/7.46 % (3673522)Instruction limit reached!
% 48.09/7.46 % (3673522)------------------------------
% 48.09/7.46 % (3673522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.09/7.46 % (3673522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.46 % (3673522)CaDiCaL version: 2.1.3
% 48.09/7.46 % (3673522)Termination reason: Instruction limit
% 48.09/7.46 % (3673522)Termination phase: Property scanning
% 48.09/7.46 % (3673522)Time elapsed: 0.049 s
% 48.09/7.46 % (3673522)Peak memory usage: 102 MB
% 48.09/7.46 % (3673522)Instructions burned: 114 (million)
% 48.09/7.46 % (3673528)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1829620690:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 48.09/7.46 % (3673524)Instruction limit reached!
% 48.09/7.46 % (3673524)------------------------------
% 48.09/7.46 % (3673524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.09/7.46 % (3673524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.46 % (3673524)CaDiCaL version: 2.1.3
% 48.09/7.46 % (3673524)Termination reason: Instruction limit
% 48.09/7.46 % (3673524)Termination phase: Saturation
% 48.09/7.46 % (3673524)Time elapsed: 0.267 s
% 48.09/7.46 % (3673524)Peak memory usage: 111 MB
% 48.09/7.46 % (3673524)Instructions burned: 439 (million)
% 48.09/7.46 % (3673530)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1474947136:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 48.09/7.46 % (3673515)Instruction limit reached!
% 48.09/7.46 % (3673515)------------------------------
% 48.09/7.46 % (3673515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.09/7.46 % (3673515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.46 % (3673515)CaDiCaL version: 2.1.3
% 48.09/7.46 % (3673515)Termination reason: Instruction limit
% 48.09/7.46 % (3673515)Termination phase: Saturation
% 48.09/7.46 % (3673515)Time elapsed: 0.816 s
% 48.09/7.46 % (3673515)Peak memory usage: 238 MB
% 48.09/7.46 % (3673515)Instructions burned: 2352 (million)
% 48.09/7.46 % (3673530)Instruction limit reached!
% 48.09/7.46 % (3673530)------------------------------
% 48.09/7.46 % (3673530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.09/7.46 % (3673530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.46 % (3673530)CaDiCaL version: 2.1.3
% 48.09/7.46 % (3673530)Termination reason: Instruction limit
% 48.09/7.46 % (3673530)Termination phase: Property scanning
% 48.09/7.46 % (3673530)Time elapsed: 0.108 s
% 48.09/7.46 % (3673530)Peak memory usage: 107 MB
% 48.09/7.46 % (3673530)Instructions burned: 136 (million)
% 48.09/7.46 % (3673523)Instruction limit reached!
% 48.09/7.46 % (3673523)------------------------------
% 48.09/7.46 % (3673523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.09/7.46 % (3673523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.09/7.46 % (3673523)CaDiCaL version: 2.1.3
% 48.09/7.46 % (3673523)Termination reason: Instruction limit
% 48.09/7.46 % (3673523)Termination phase: Saturation
% 48.09/7.46 % (3673523)Time elapsed: 0.527 s
% 48.09/7.46 % (3673523)Peak memory usage: 120 MB
% 48.09/7.46 % (3673523)Instructions burned: 907 (million)
% 48.09/7.46 % (3673532)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4042253149:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 48.09/7.46 % (3673533)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1349231924:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 48.09/7.46 % (3673534)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=3911081778:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 80.06/11.99 % (3673534)Instruction limit reached!
% 80.06/11.99 % (3673534)------------------------------
% 80.06/11.99 % (3673534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.06/11.99 % (3673534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.06/11.99 % (3673534)CaDiCaL version: 2.1.3
% 80.06/11.99 % (3673534)Termination reason: Instruction limit
% 80.06/11.99 % (3673534)Termination phase: Property scanning
% 80.06/11.99 % (3673534)Time elapsed: 0.053 s
% 80.06/11.99 % (3673534)Peak memory usage: 102 MB
% 80.06/11.99 % (3673534)Instructions burned: 126 (million)
% 80.06/11.99 % (3673532)Instruction limit reached!
% 80.06/11.99 % (3673532)------------------------------
% 80.06/11.99 % (3673532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.06/11.99 % (3673532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.06/11.99 % (3673532)CaDiCaL version: 2.1.3
% 80.06/11.99 % (3673532)Termination reason: Instruction limit
% 80.06/11.99 % (3673532)Termination phase: Property scanning
% 80.06/11.99 % (3673532)Time elapsed: 0.242 s
% 80.06/11.99 % (3673532)Peak memory usage: 124 MB
% 80.06/11.99 % (3673532)Instructions burned: 593 (million)
% 80.06/11.99 % (3673538)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1536012098:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 80.06/11.99 % (3673538)Instruction limit reached!
% 80.06/11.99 % (3673538)------------------------------
% 80.06/11.99 % (3673538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.06/11.99 % (3673538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.06/11.99 % (3673538)CaDiCaL version: 2.1.3
% 80.06/11.99 % (3673538)Termination reason: Instruction limit
% 80.06/11.99 % (3673538)Termination phase: Property scanning
% 80.06/11.99 % (3673538)Time elapsed: 0.059 s
% 80.06/11.99 % (3673538)Peak memory usage: 102 MB
% 80.06/11.99 % (3673538)Instructions burned: 136 (million)
% 80.06/11.99 % (3673539)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2735643606:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 80.06/11.99 % (3673539)Instruction limit reached!
% 80.06/11.99 % (3673539)------------------------------
% 80.06/11.99 % (3673539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.06/11.99 % (3673539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.06/11.99 % (3673539)CaDiCaL version: 2.1.3
% 80.06/11.99 % (3673539)Termination reason: Instruction limit
% 80.06/11.99 % (3673539)Termination phase: Saturation
% 80.06/11.99 % (3673539)Time elapsed: 0.061 s
% 80.06/11.99 % (3673539)Peak memory usage: 108 MB
% 80.06/11.99 % (3673539)Instructions burned: 143 (million)
% 80.06/11.99 % (3673541)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3861096403:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 80.06/11.99 % (3673543)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=2209280031:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 80.06/11.99 % (3673541)Instruction limit reached!
% 80.06/11.99 % (3673541)------------------------------
% 80.06/11.99 % (3673541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.06/11.99 % (3673541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.06/11.99 % (3673541)CaDiCaL version: 2.1.3
% 80.06/11.99 % (3673541)Termination reason: Instruction limit
% 80.06/11.99 % (3673541)Termination phase: Saturation
% 80.06/11.99 % (3673541)Time elapsed: 0.286 s
% 80.06/11.99 % (3673541)Peak memory usage: 111 MB
% 80.06/11.99 % (3673541)Instructions burned: 431 (million)
% 80.06/11.99 % (3673546)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=1635136336:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 80.06/11.99 % (3673546)Instruction limit reached!
% 80.06/11.99 % (3673546)------------------------------
% 80.06/11.99 % (3673546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.06/11.99 % (3673546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.06/11.99 % (3673546)CaDiCaL version: 2.1.3
% 80.06/11.99 % (3673546)Termination reason: Instruction limit
% 104.51/15.44 % (3673546)Termination phase: Preprocessing 1
% 104.51/15.44 % (3673546)Time elapsed: 0.115 s
% 104.51/15.44 % (3673546)Peak memory usage: 103 MB
% 104.51/15.44 % (3673546)Instructions burned: 152 (million)
% 104.51/15.44 % (3673548)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2305562310:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 104.51/15.44 % (3673543)Instruction limit reached!
% 104.51/15.44 % (3673543)------------------------------
% 104.51/15.44 % (3673543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.51/15.44 % (3673543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.51/15.44 % (3673543)CaDiCaL version: 2.1.3
% 104.51/15.44 % (3673543)Termination reason: Instruction limit
% 104.51/15.44 % (3673543)Termination phase: Saturation
% 104.51/15.44 % (3673543)Time elapsed: 2.845 s
% 104.51/15.44 % (3673543)Peak memory usage: 493 MB
% 104.51/15.44 % (3673543)Instructions burned: 6063 (million)
% 104.51/15.44 % (3673528)Instruction limit reached!
% 104.51/15.44 % (3673528)------------------------------
% 104.51/15.44 % (3673528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.51/15.44 % (3673528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.51/15.44 % (3673528)CaDiCaL version: 2.1.3
% 104.51/15.44 % (3673528)Termination reason: Instruction limit
% 104.51/15.44 % (3673528)Termination phase: Saturation
% 104.51/15.44 % (3673528)Time elapsed: 3.853 s
% 104.51/15.44 % (3673528)Peak memory usage: 426 MB
% 104.51/15.44 % (3673528)Instructions burned: 5203 (million)
% 104.51/15.44 % (3673550)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=215095344:i=667:av=off:fsr=off_2948 on theBenchmark for (2948ds/667Mi)
% 104.51/15.44 % (3673551)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=620955363:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 104.51/15.44 % (3673551)Instruction limit reached!
% 104.51/15.44 % (3673551)------------------------------
% 104.51/15.44 % (3673551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.51/15.44 % (3673551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.51/15.44 % (3673551)CaDiCaL version: 2.1.3
% 104.51/15.44 % (3673551)Termination reason: Instruction limit
% 104.51/15.44 % (3673551)Termination phase: Preprocessing 1
% 104.51/15.44 % (3673551)Time elapsed: 0.147 s
% 104.51/15.44 % (3673551)Peak memory usage: 103 MB
% 104.51/15.44 % (3673551)Instructions burned: 185 (million)
% 104.51/15.44 % (3673550)Instruction limit reached!
% 104.51/15.44 % (3673550)------------------------------
% 104.51/15.44 % (3673550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.51/15.44 % (3673550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.51/15.44 % (3673550)CaDiCaL version: 2.1.3
% 104.51/15.44 % (3673550)Termination reason: Instruction limit
% 104.51/15.44 % (3673550)Termination phase: NewCNF
% 104.51/15.44 % (3673550)Time elapsed: 0.281 s
% 104.51/15.44 % (3673550)Peak memory usage: 135 MB
% 104.51/15.44 % (3673550)Instructions burned: 667 (million)
% 104.51/15.44 % (3673555)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=48804565:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2945 on theBenchmark for (2945ds/4850Mi)
% 104.51/15.44 % (3673554)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2825644779:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2945 on theBenchmark for (2945ds/193Mi)
% 104.51/15.44 % (3673554)Instruction limit reached!
% 104.51/15.44 % (3673554)------------------------------
% 104.51/15.44 % (3673554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.51/15.44 % (3673554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.51/15.44 % (3673554)CaDiCaL version: 2.1.3
% 104.51/15.44 % (3673554)Termination reason: Instruction limit
% 104.51/15.44 % (3673554)Termination phase: Naming
% 104.51/15.44 % (3673554)Time elapsed: 0.165 s
% 104.51/15.44 % (3673554)Peak memory usage: 106 MB
% 104.51/15.44 % (3673554)Instructions burned: 193 (million)
% 104.51/15.44 % (3673558)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2074345481:i=12111:sd=1:ss=included_2942 on theBenchmark for (2942ds/12111Mi)
% 104.51/15.44 % (3673555)Instruction limit reached!
% 104.51/15.44 % (3673555)------------------------------
% 104.51/15.44 % (3673555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.51/15.44 % (3673555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.97/20.46 % (3673555)CaDiCaL version: 2.1.3
% 139.97/20.46 % (3673555)Termination reason: Instruction limit
% 139.97/20.46 % (3673555)Termination phase: Saturation
% 139.97/20.46 % (3673555)Time elapsed: 1.468 s
% 139.97/20.46 % (3673555)Peak memory usage: 174 MB
% 139.97/20.46 % (3673555)Instructions burned: 4854 (million)
% 139.97/20.46 % (3673560)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1169369185:i=319:kws=precedence:fsr=off_2929 on theBenchmark for (2929ds/319Mi)
% 139.97/20.46 % (3673560)Instruction limit reached!
% 139.97/20.46 % (3673560)------------------------------
% 139.97/20.46 % (3673560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.97/20.46 % (3673560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.97/20.46 % (3673560)CaDiCaL version: 2.1.3
% 139.97/20.46 % (3673560)Termination reason: Instruction limit
% 139.97/20.46 % (3673560)Termination phase: Preprocessing 3
% 139.97/20.46 % (3673560)Time elapsed: 0.134 s
% 139.97/20.46 % (3673560)Peak memory usage: 122 MB
% 139.97/20.46 % (3673560)Instructions burned: 322 (million)
% 139.97/20.46 % (3673562)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=650242119:i=2064:ep=RST_2927 on theBenchmark for (2927ds/2064Mi)
% 139.97/20.46 % (3673562)Instruction limit reached!
% 139.97/20.46 % (3673562)------------------------------
% 139.97/20.46 % (3673562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.97/20.46 % (3673562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.97/20.46 % (3673562)CaDiCaL version: 2.1.3
% 139.97/20.46 % (3673562)Termination reason: Instruction limit
% 139.97/20.46 % (3673562)Termination phase: Saturation
% 139.97/20.46 % (3673562)Time elapsed: 0.559 s
% 139.97/20.46 % (3673562)Peak memory usage: 147 MB
% 139.97/20.46 % (3673562)Instructions burned: 2065 (million)
% 139.97/20.46 % (3673564)dis-1011_128_sil=32000:random_seed=3618440839:i=3706:ep=RST:av=off_2920 on theBenchmark for (2920ds/3706Mi)
% 139.97/20.46 % (3673564)Instruction limit reached!
% 139.97/20.46 % (3673564)------------------------------
% 139.97/20.46 % (3673564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.97/20.46 % (3673564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.97/20.46 % (3673564)CaDiCaL version: 2.1.3
% 139.97/20.46 % (3673564)Termination reason: Instruction limit
% 139.97/20.46 % (3673564)Termination phase: Saturation
% 139.97/20.46 % (3673564)Time elapsed: 1.106 s
% 139.97/20.46 % (3673564)Peak memory usage: 161 MB
% 139.97/20.46 % (3673564)Instructions burned: 3706 (million)
% 139.97/20.46 % (3673566)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1598258090:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2908 on theBenchmark for (2908ds/757Mi)
% 139.97/20.46 % (3673566)Instruction limit reached!
% 139.97/20.46 % (3673566)------------------------------
% 139.97/20.46 % (3673566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.97/20.46 % (3673566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.97/20.46 % (3673566)CaDiCaL version: 2.1.3
% 139.97/20.46 % (3673566)Termination reason: Instruction limit
% 139.97/20.46 % (3673566)Termination phase: Saturation
% 139.97/20.46 % (3673566)Time elapsed: 0.319 s
% 139.97/20.46 % (3673566)Peak memory usage: 113 MB
% 139.97/20.46 % (3673566)Instructions burned: 759 (million)
% 139.97/20.46 % (3673568)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=313582845:i=13913:ss=axioms:sgt=8_2904 on theBenchmark for (2904ds/13913Mi)
% 139.97/20.46 % (3673533)Instruction limit reached!
% 139.97/20.46 % (3673533)------------------------------
% 139.97/20.46 % (3673533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.97/20.46 % (3673533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 139.97/20.46 % (3673533)CaDiCaL version: 2.1.3
% 139.97/20.46 % (3673533)Termination reason: Instruction limit
% 139.97/20.46 % (3673533)Termination phase: Saturation
% 139.97/20.46 % (3673533)Time elapsed: 7.924 s
% 139.97/20.46 % (3673533)Peak memory usage: 272 MB
% 139.97/20.46 % (3673533)Instructions burned: 13193 (million)
% 139.97/20.46 % (3673570)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3252253847:i=9925:aac=none_2902 on theBenchmark for (2902ds/9925Mi)
% 139.97/20.46 % (3673548)Instruction limit reached!
% 139.97/20.46 % (3673548)------------------------------
% 139.97/20.46 % (3673548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 139.97/20.46 % (3673548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.11/22.79 % (3673548)CaDiCaL version: 2.1.3
% 156.11/22.79 % (3673548)Termination reason: Instruction limit
% 156.11/22.79 % (3673548)Termination phase: Saturation
% 156.11/22.79 % (3673548)Time elapsed: 8.706 s
% 156.11/22.79 % (3673548)Peak memory usage: 543 MB
% 156.11/22.79 % (3673548)Instructions burned: 14157 (million)
% 156.11/22.79 % (3673572)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2382261067:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2883 on theBenchmark for (2883ds/2479Mi)
% 156.11/22.79 % (3673572)Instruction limit reached!
% 156.11/22.79 % (3673572)------------------------------
% 156.11/22.79 % (3673572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 156.11/22.79 % (3673572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.11/22.79 % (3673572)CaDiCaL version: 2.1.3
% 156.11/22.79 % (3673572)Termination reason: Instruction limit
% 156.11/22.79 % (3673572)Termination phase: Saturation
% 156.11/22.79 % (3673572)Time elapsed: 1.579 s
% 156.11/22.79 % (3673572)Peak memory usage: 127 MB
% 156.11/22.79 % (3673572)Instructions burned: 2479 (million)
% 156.11/22.79 % (3673574)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3043227731:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2866 on theBenchmark for (2866ds/440Mi)
% 156.11/22.79 % (3673574)Instruction limit reached!
% 156.11/22.79 % (3673574)------------------------------
% 156.11/22.79 % (3673574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 156.11/22.79 % (3673574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.11/22.79 % (3673574)CaDiCaL version: 2.1.3
% 156.11/22.79 % (3673574)Termination reason: Instruction limit
% 156.11/22.79 % (3673574)Termination phase: Preprocessing 1
% 156.11/22.79 % (3673574)Time elapsed: 0.195 s
% 156.11/22.79 % (3673574)Peak memory usage: 103 MB
% 156.11/22.79 % (3673574)Instructions burned: 440 (million)
% 156.11/22.79 % (3673558)Instruction limit reached!
% 156.11/22.79 % (3673558)------------------------------
% 156.11/22.79 % (3673558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 156.11/22.79 % (3673558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.11/22.79 % (3673558)CaDiCaL version: 2.1.3
% 156.11/22.79 % (3673558)Termination reason: Instruction limit
% 156.11/22.79 % (3673558)Termination phase: Saturation
% 156.11/22.79 % (3673558)Time elapsed: 7.849 s
% 156.11/22.79 % (3673558)Peak memory usage: 294 MB
% 156.11/22.79 % (3673558)Instructions burned: 12113 (million)
% 156.11/22.79 % (3673576)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2417083895:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2863 on theBenchmark for (2863ds/11145Mi)
% 156.11/22.79 % (3673577)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=1476075487:cts=off:i=3034:av=off:er=known:fsd=on_2861 on theBenchmark for (2861ds/3034Mi)
% 156.11/22.79 % (3673568)Instruction limit reached!
% 156.11/22.79 % (3673568)------------------------------
% 156.11/22.79 % (3673568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 156.11/22.79 % (3673568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.11/22.79 % (3673568)CaDiCaL version: 2.1.3
% 156.11/22.79 % (3673568)Termination reason: Instruction limit
% 156.11/22.79 % (3673568)Termination phase: Saturation
% 156.11/22.79 % (3673568)Time elapsed: 4.640 s
% 156.11/22.79 % (3673568)Peak memory usage: 269 MB
% 156.11/22.79 % (3673568)Instructions burned: 13914 (million)
% 156.11/22.79 % (3673580)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2160365283:st=2:s2a=on:i=524:s2at=2:ss=axioms_2856 on theBenchmark for (2856ds/524Mi)
% 156.11/22.79 % (3673580)Instruction limit reached!
% 156.11/22.79 % (3673580)------------------------------
% 156.11/22.79 % (3673580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 156.11/22.79 % (3673580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 156.11/22.79 % (3673580)CaDiCaL version: 2.1.3
% 156.11/22.79 % (3673580)Termination reason: Instruction limit
% 156.11/22.79 % (3673580)Termination phase: Preprocessing 3
% 156.11/22.79 % (3673580)Time elapsed: 0.224 s
% 156.11/22.79 % (3673580)Peak memory usage: 118 MB
% 156.11/22.79 % (3673580)Instructions burned: 526 (million)
% 156.11/22.79 % (3673582)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3276504199:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2853 on theBenchmark for (2853ds/1016Mi)
% 156.11/22.79 % (3673582)Instruction limit reached!
% 193.14/27.99 % (3673582)------------------------------
% 193.14/27.99 % (3673582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 193.14/27.99 % (3673582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.14/27.99 % (3673582)CaDiCaL version: 2.1.3
% 193.14/27.99 % (3673582)Termination reason: Instruction limit
% 193.14/27.99 % (3673582)Termination phase: Saturation
% 193.14/27.99 % (3673582)Time elapsed: 0.315 s
% 193.14/27.99 % (3673582)Peak memory usage: 126 MB
% 193.14/27.99 % (3673582)Instructions burned: 1018 (million)
% 193.14/27.99 % (3673584)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1134920605:i=14123:bd=preordered:ins=4_2849 on theBenchmark for (2849ds/14123Mi)
% 193.14/27.99 % (3673577)Instruction limit reached!
% 193.14/27.99 % (3673577)------------------------------
% 193.14/27.99 % (3673577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 193.14/27.99 % (3673577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.14/27.99 % (3673577)CaDiCaL version: 2.1.3
% 193.14/27.99 % (3673577)Termination reason: Instruction limit
% 193.14/27.99 % (3673577)Termination phase: Saturation
% 193.14/27.99 % (3673577)Time elapsed: 2.173 s
% 193.14/27.99 % (3673577)Peak memory usage: 419 MB
% 193.14/27.99 % (3673577)Instructions burned: 3036 (million)
% 193.14/27.99 % (3673570)Instruction limit reached!
% 193.14/27.99 % (3673570)------------------------------
% 193.14/27.99 % (3673570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 193.14/27.99 % (3673570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.14/27.99 % (3673570)CaDiCaL version: 2.1.3
% 193.14/27.99 % (3673570)Termination reason: Instruction limit
% 193.14/27.99 % (3673570)Termination phase: Saturation
% 193.14/27.99 % (3673570)Time elapsed: 6.371 s
% 193.14/27.99 % (3673570)Peak memory usage: 464 MB
% 193.14/27.99 % (3673570)Instructions burned: 9926 (million)
% 193.14/27.99 % (3673586)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2918386498:i=5781:kws=precedence:bd=all:rawr=on_2838 on theBenchmark for (2838ds/5781Mi)
% 193.14/27.99 % (3673588)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=1109180375:i=2448:gtgl=5:bd=preordered:gtg=all_2837 on theBenchmark for (2837ds/2448Mi)
% 193.14/27.99 % (3673588)Instruction limit reached!
% 193.14/27.99 % (3673588)------------------------------
% 193.14/27.99 % (3673588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 193.14/27.99 % (3673588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.14/27.99 % (3673588)CaDiCaL version: 2.1.3
% 193.14/27.99 % (3673588)Termination reason: Instruction limit
% 193.14/27.99 % (3673588)Termination phase: Saturation
% 193.14/27.99 % (3673588)Time elapsed: 1.308 s
% 193.14/27.99 % (3673588)Peak memory usage: 157 MB
% 193.14/27.99 % (3673588)Instructions burned: 2448 (million)
% 193.14/27.99 % (3673590)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=22897159:i=3223:kws=precedence:fgj=on:av=off_2822 on theBenchmark for (2822ds/3223Mi)
% 193.14/27.99 % (3673586)Instruction limit reached!
% 193.14/27.99 % (3673586)------------------------------
% 193.14/27.99 % (3673586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 193.14/27.99 % (3673586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.14/27.99 % (3673586)CaDiCaL version: 2.1.3
% 193.14/27.99 % (3673586)Termination reason: Instruction limit
% 193.14/27.99 % (3673586)Termination phase: Saturation
% 193.14/27.99 % (3673586)Time elapsed: 3.290 s
% 193.14/27.99 % (3673586)Peak memory usage: 165 MB
% 193.14/27.99 % (3673586)Instructions burned: 5782 (million)
% 193.14/27.99 % (3673592)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2134142790:st=5.6:i=2033:sd=3:ss=axioms_2804 on theBenchmark for (2804ds/2033Mi)
% 193.14/27.99 % (3673584)Instruction limit reached!
% 193.14/27.99 % (3673584)------------------------------
% 193.14/27.99 % (3673584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 193.14/27.99 % (3673584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 193.14/27.99 % (3673584)CaDiCaL version: 2.1.3
% 193.14/27.99 % (3673584)Termination reason: Instruction limit
% 193.14/27.99 % (3673584)Termination phase: Saturation
% 193.14/27.99 % (3673584)Time elapsed: 4.812 s
% 193.14/27.99 % (3673584)Peak memory usage: 499 MB
% 193.14/27.99 % (3673584)Instructions burned: 14125 (million)
% 193.14/27.99 % (3673594)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1556409572:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2800 on theBenchmark for (2800ds/2055Mi)
% 241.88/34.79 % (3673590)Instruction limit reached!
% 241.88/34.79 % (3673590)------------------------------
% 241.88/34.79 % (3673590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 241.88/34.79 % (3673590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.88/34.79 % (3673590)CaDiCaL version: 2.1.3
% 241.88/34.79 % (3673590)Termination reason: Instruction limit
% 241.88/34.79 % (3673590)Termination phase: Saturation
% 241.88/34.79 % (3673590)Time elapsed: 2.346 s
% 241.88/34.79 % (3673590)Peak memory usage: 421 MB
% 241.88/34.79 % (3673590)Instructions burned: 3223 (million)
% 241.88/34.79 % (3673596)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=3451531047:i=21611:sd=3:ss=axioms_2797 on theBenchmark for (2797ds/21611Mi)
% 241.88/34.79 % (3673594)Instruction limit reached!
% 241.88/34.79 % (3673594)------------------------------
% 241.88/34.79 % (3673594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 241.88/34.79 % (3673594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.88/34.79 % (3673594)CaDiCaL version: 2.1.3
% 241.88/34.79 % (3673594)Termination reason: Instruction limit
% 241.88/34.79 % (3673594)Termination phase: Saturation
% 241.88/34.79 % (3673594)Time elapsed: 0.773 s
% 241.88/34.79 % (3673594)Peak memory usage: 216 MB
% 241.88/34.79 % (3673594)Instructions burned: 2058 (million)
% 241.88/34.79 % (3673576)Instruction limit reached!
% 241.88/34.79 % (3673576)------------------------------
% 241.88/34.79 % (3673576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 241.88/34.79 % (3673576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.88/34.79 % (3673576)CaDiCaL version: 2.1.3
% 241.88/34.79 % (3673576)Termination reason: Instruction limit
% 241.88/34.79 % (3673576)Termination phase: Saturation
% 241.88/34.79 % (3673576)Time elapsed: 7.136 s
% 241.88/34.79 % (3673576)Peak memory usage: 242 MB
% 241.88/34.79 % (3673576)Instructions burned: 11145 (million)
% 241.88/34.79 % (3673598)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2935981891:i=4835:sd=13:ss=axioms:sgt=23_2791 on theBenchmark for (2791ds/4835Mi)
% 241.88/34.79 % (3673592)Instruction limit reached!
% 241.88/34.79 % (3673592)------------------------------
% 241.88/34.79 % (3673592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 241.88/34.79 % (3673592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.88/34.79 % (3673592)CaDiCaL version: 2.1.3
% 241.88/34.79 % (3673592)Termination reason: Instruction limit
% 241.88/34.79 % (3673592)Termination phase: Saturation
% 241.88/34.79 % (3673592)Time elapsed: 1.350 s
% 241.88/34.79 % (3673592)Peak memory usage: 301 MB
% 241.88/34.79 % (3673592)Instructions burned: 2033 (million)
% 241.88/34.79 % (3673600)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=1780205468:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2790 on theBenchmark for (2790ds/797Mi)
% 241.88/34.79 % (3673601)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=4072835367:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2789 on theBenchmark for (2789ds/2326Mi)
% 241.88/34.79 % (3673600)Instruction limit reached!
% 241.88/34.79 % (3673600)------------------------------
% 241.88/34.79 % (3673600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 241.88/34.79 % (3673600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.88/34.79 % (3673600)CaDiCaL version: 2.1.3
% 241.88/34.79 % (3673600)Termination reason: Instruction limit
% 241.88/34.79 % (3673600)Termination phase: NewCNF
% 241.88/34.79 % (3673600)Time elapsed: 0.592 s
% 241.88/34.79 % (3673600)Peak memory usage: 129 MB
% 241.88/34.79 % (3673600)Instructions burned: 797 (million)
% 241.88/34.79 % (3673604)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3627715374:i=6038:nm=6_2782 on theBenchmark for (2782ds/6038Mi)
% 241.88/34.79 % (3673601)Instruction limit reached!
% 241.88/34.79 % (3673601)------------------------------
% 241.88/34.79 % (3673601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 241.88/34.79 % (3673601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.88/34.79 % (3673601)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673601)Termination reason: Instruction limit
% 226.99/41.20 % (3673601)Termination phase: Saturation
% 226.99/41.20 % (3673601)Time elapsed: 1.166 s
% 226.99/41.20 % (3673601)Peak memory usage: 153 MB
% 226.99/41.20 % (3673601)Instructions burned: 2326 (million)
% 226.99/41.20 % (3673606)lrs+10_1_sil=32000:sp=occurrence:random_seed=3561174637:st=2:i=33334:sd=3:ss=included:sgt=32_2776 on theBenchmark for (2776ds/33334Mi)
% 226.99/41.20 % (3673598)Instruction limit reached!
% 226.99/41.20 % (3673598)------------------------------
% 226.99/41.20 % (3673598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673598)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673598)Termination reason: Instruction limit
% 226.99/41.20 % (3673598)Termination phase: Saturation
% 226.99/41.20 % (3673598)Time elapsed: 2.733 s
% 226.99/41.20 % (3673598)Peak memory usage: 187 MB
% 226.99/41.20 % (3673598)Instructions burned: 4836 (million)
% 226.99/41.20 % (3673608)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2734922698:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2762 on theBenchmark for (2762ds/1008Mi)
% 226.99/41.20 % (3673608)Instruction limit reached!
% 226.99/41.20 % (3673608)------------------------------
% 226.99/41.20 % (3673608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673608)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673608)Termination reason: Instruction limit
% 226.99/41.20 % (3673608)Termination phase: Saturation
% 226.99/41.20 % (3673608)Time elapsed: 0.609 s
% 226.99/41.20 % (3673608)Peak memory usage: 122 MB
% 226.99/41.20 % (3673608)Instructions burned: 1009 (million)
% 226.99/41.20 % (3673610)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=2317065771:i=8327:s2at=5:bd=preordered_2755 on theBenchmark for (2755ds/8327Mi)
% 226.99/41.20 % (3673604)Instruction limit reached!
% 226.99/41.20 % (3673604)------------------------------
% 226.99/41.20 % (3673604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673604)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673604)Termination reason: Instruction limit
% 226.99/41.20 % (3673604)Termination phase: Saturation
% 226.99/41.20 % (3673604)Time elapsed: 4.361 s
% 226.99/41.20 % (3673604)Peak memory usage: 520 MB
% 226.99/41.20 % (3673604)Instructions burned: 6041 (million)
% 226.99/41.20 % (3673612)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=3249467560:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2737 on theBenchmark for (2737ds/1083Mi)
% 226.99/41.20 % (3673612)Instruction limit reached!
% 226.99/41.20 % (3673612)------------------------------
% 226.99/41.20 % (3673612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673612)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673612)Termination reason: Instruction limit
% 226.99/41.20 % (3673612)Termination phase: Property scanning
% 226.99/41.20 % (3673612)Time elapsed: 0.633 s
% 226.99/41.20 % (3673612)Peak memory usage: 134 MB
% 226.99/41.20 % (3673612)Instructions burned: 1083 (million)
% 226.99/41.20 % (3673614)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1580737174:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2729 on theBenchmark for (2729ds/1084Mi)
% 226.99/41.20 % (3673596)Instruction limit reached!
% 226.99/41.20 % (3673596)------------------------------
% 226.99/41.20 % (3673596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673596)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673596)Termination reason: Instruction limit
% 226.99/41.20 % (3673596)Termination phase: Saturation
% 226.99/41.20 % (3673596)Time elapsed: 7.059 s
% 226.99/41.20 % (3673596)Peak memory usage: 329 MB
% 226.99/41.20 % (3673596)Instructions burned: 21612 (million)
% 226.99/41.20 % (3673616)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=3093050104:i=6995:s2at=5:gtg=all_2725 on theBenchmark for (2725ds/6995Mi)
% 226.99/41.20 % (3673614)Instruction limit reached!
% 226.99/41.20 % (3673614)------------------------------
% 226.99/41.20 % (3673614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673614)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673614)Termination reason: Instruction limit
% 226.99/41.20 % (3673614)Termination phase: Saturation
% 226.99/41.20 % (3673614)Time elapsed: 0.650 s
% 226.99/41.20 % (3673614)Peak memory usage: 119 MB
% 226.99/41.20 % (3673614)Instructions burned: 1085 (million)
% 226.99/41.20 % (3673618)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=3092908160:st=2:i=6225:sd=15:ss=axioms_2721 on theBenchmark for (2721ds/6225Mi)
% 226.99/41.20 % (3673610)Instruction limit reached!
% 226.99/41.20 % (3673610)------------------------------
% 226.99/41.20 % (3673610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673610)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673610)Termination reason: Instruction limit
% 226.99/41.20 % (3673610)Termination phase: Saturation
% 226.99/41.20 % (3673610)Time elapsed: 5.720 s
% 226.99/41.20 % (3673610)Peak memory usage: 505 MB
% 226.99/41.20 % (3673610)Instructions burned: 8328 (million)
% 226.99/41.20 % (3673616)Instruction limit reached!
% 226.99/41.20 % (3673616)------------------------------
% 226.99/41.20 % (3673616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673616)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673616)Termination reason: Instruction limit
% 226.99/41.20 % (3673616)Termination phase: Saturation
% 226.99/41.20 % (3673616)Time elapsed: 2.934 s
% 226.99/41.20 % (3673616)Peak memory usage: 535 MB
% 226.99/41.20 % (3673616)Instructions burned: 6996 (million)
% 226.99/41.20 % (3673620)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=835934552:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2696 on theBenchmark for (2696ds/3372Mi)
% 226.99/41.20 % (3673622)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=2005787365:st=2.3:i=26457:sd=10:ss=included:sgt=8_2694 on theBenchmark for (2694ds/26457Mi)
% 226.99/41.20 % (3673618)Instruction limit reached!
% 226.99/41.20 % (3673618)------------------------------
% 226.99/41.20 % (3673618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673618)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673618)Termination reason: Instruction limit
% 226.99/41.20 % (3673618)Termination phase: Saturation
% 226.99/41.20 % (3673618)Time elapsed: 3.324 s
% 226.99/41.20 % (3673618)Peak memory usage: 203 MB
% 226.99/41.20 % (3673618)Instructions burned: 6227 (million)
% 226.99/41.20 % (3673624)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=2280213277:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2687 on theBenchmark for (2687ds/13494Mi)
% 226.99/41.20 % (3673620)Instruction limit reached!
% 226.99/41.20 % (3673620)------------------------------
% 226.99/41.20 % (3673620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673620)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673620)Termination reason: Instruction limit
% 226.99/41.20 % (3673620)Termination phase: Saturation
% 226.99/41.20 % (3673620)Time elapsed: 2.138 s
% 226.99/41.20 % (3673620)Peak memory usage: 166 MB
% 226.99/41.20 % (3673620)Instructions burned: 3372 (million)
% 226.99/41.20 % (3673626)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=652293806:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2673 on theBenchmark for (2673ds/2503Mi)
% 226.99/41.20 % (3673626)Instruction limit reached!
% 226.99/41.20 % (3673626)------------------------------
% 226.99/41.20 % (3673626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673626)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673626)Termination reason: Instruction limit
% 226.99/41.20 % (3673626)Termination phase: Saturation
% 226.99/41.20 % (3673626)Time elapsed: 1.585 s
% 226.99/41.20 % (3673626)Peak memory usage: 224 MB
% 226.99/41.20 % (3673626)Instructions burned: 2504 (million)
% 226.99/41.20 % (3673628)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=2354308306:i=2559:sd=1:ep=RSTC:ss=axioms_2656 on theBenchmark for (2656ds/2559Mi)
% 226.99/41.20 % (3673628)Instruction limit reached!
% 226.99/41.20 % (3673628)------------------------------
% 226.99/41.20 % (3673628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673628)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673628)Termination reason: Instruction limit
% 226.99/41.20 % (3673628)Termination phase: Saturation
% 226.99/41.20 % (3673628)Time elapsed: 1.592 s
% 226.99/41.20 % (3673628)Peak memory usage: 164 MB
% 226.99/41.20 % (3673628)Instructions burned: 2561 (million)
% 226.99/41.20 % (3673630)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=1326642290:i=30753:av=off:ss=included_2638 on theBenchmark for (2638ds/30753Mi)
% 226.99/41.20 % (3673622)Instruction limit reached!
% 226.99/41.20 % (3673622)------------------------------
% 226.99/41.20 % (3673622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673622)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673622)Termination reason: Instruction limit
% 226.99/41.20 % (3673622)Termination phase: Saturation
% 226.99/41.20 % (3673622)Time elapsed: 8.364 s
% 226.99/41.20 % (3673622)Peak memory usage: 403 MB
% 226.99/41.20 % (3673622)Instructions burned: 26463 (million)
% 226.99/41.20 % (3673632)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=363953476:i=26473:ep=RSTC_2609 on theBenchmark for (2609ds/26473Mi)
% 226.99/41.20 % (3673624)Instruction limit reached!
% 226.99/41.20 % (3673624)------------------------------
% 226.99/41.20 % (3673624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 226.99/41.20 % (3673624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 226.99/41.20 % (3673624)CaDiCaL version: 2.1.3
% 226.99/41.20 % (3673624)Termination reason: Instruction limit
% 226.99/41.20 % (3673624)Termination phase: Saturation
% 226.99/41.20 % (3673624)Time elapsed: 8.171 s
% 226.99/41.20 % (3673624)Peak memory usage: 361 MB
% 226.99/41.20 % (3673624)Instructions burned: 13496 (million)
% 226.99/41.20 % (3673634)dis-1011_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:tgt=ground:npcc=on:sp=arity:sos=on:erd=off:rp=on:gs=on:kmz=on:random_seed=1236546706:cts=off:i=2759:kws=inv_arity:fgj=on_2603 on theBenchmark for (2603ds/2759Mi)
% 226.99/41.20 % (3673492)First to succeed.
% 226.99/41.20 % (3673492)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3673487"
% 226.99/41.20 % (3673492)Refutation found. Thanks to Tanya!
% 226.99/41.20 % SZS status Theorem for theBenchmark
% 226.99/41.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/41.40 % (3673492)------------------------------
% 0.21/41.40 % (3673492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/41.40 % (3673492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/41.40 % (3673492)CaDiCaL version: 2.1.3
% 0.21/41.40 % (3673492)Termination reason: Refutation
% 0.21/41.40 % (3673492)Time elapsed: 39.917 s
% 0.21/41.40 % (3673492)Peak memory usage: 770 MB
% 0.21/41.40 % (3673492)Instructions burned: 63403 (million)
% 0.21/41.40 % (3673492)------------------------------
% 0.21/41.40 % (3673492)------------------------------
% 0.21/41.40 % (3673487)Success in time 40.786 s
% 0.21/41.40 % Vampire exiting
%------------------------------------------------------------------------------