%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP040+2 : 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 : n015.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 80.33s 21.26s
% Output : Refutation 144.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 106
% Syntax : Number of formulae : 1321 ( 218 unt; 42 def)
% Number of atoms : 6331 ( 856 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 9603 (4593 ~;4723 |; 160 &)
% ( 47 <=>; 80 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 33 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 15 con; 0-4 aty)
% Number of variables : 1202 ( 1 sgn1182 !; 20 ?)
% 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(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f58,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f62,axiom,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
fof(f63,axiom,
! [X0] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
fof(f64,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
fof(f65,axiom,
! [X0] : k4_xboole_0(k1_xboole_0,X0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_boole) ).
fof(f66,axiom,
! [X0] : k5_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_boole) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f85,axiom,
! [X0,X1,X2] : k3_xboole_0(k3_xboole_0(X0,X1),X2) = k3_xboole_0(X0,k3_xboole_0(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_xboole_1) ).
fof(f97,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k3_xboole_0(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f105,axiom,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f106,axiom,
! [X0,X1] :
( k4_xboole_0(X0,X1) = k1_xboole_0
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f109,axiom,
! [X0,X1] : k4_xboole_0(k2_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f110,axiom,
! [X0,X1,X2] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_xboole_1) ).
fof(f116,axiom,
! [X0,X1] : k4_xboole_0(X0,k3_xboole_0(X0,X1)) = k4_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_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(f118,axiom,
! [X0,X1,X2] : k3_xboole_0(X0,k4_xboole_0(X1,X2)) = k4_xboole_0(k3_xboole_0(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_xboole_1) ).
fof(f121,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_xboole_1) ).
fof(f122,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_xboole_1) ).
fof(f161,axiom,
! [X0] : k5_xboole_0(X0,X0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_xboole_1) ).
fof(f163,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(k5_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_xboole_1) ).
fof(f167,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t98_xboole_1) ).
fof(f169,axiom,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k3_xboole_0(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_xboole_1) ).
fof(f180,axiom,
! [X0,X1,X2] : k4_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X2,X1)) = k3_xboole_0(k4_xboole_0(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t111_xboole_1) ).
fof(f281,axiom,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t93_zfmisc_1) ).
fof(f433,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f434,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(f435,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(f437,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(f446,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(f634,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(f858,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(f1026,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(f1085,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(f1087,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(f2190,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f2193,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_pre_topc) ).
fof(f2240,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X1,X0)
=> k6_pre_topc(X0,X1) = X1 )
& ( ( v2_pre_topc(X0)
& k6_pre_topc(X0,X1) = X1 )
=> v4_pre_topc(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(f2245,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f2249,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f2251,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(f2252,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(f2253,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(k5_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_pre_topc) ).
fof(f2255,axiom,
! [X0,X1] :
( ( l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f2260,axiom,
! [X0,X1] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(f2611,axiom,
! [X0] : u1_pre_topc(k2_pcomps_1(X0)) = k1_pcomps_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_pcomps_1) ).
fof(f2652,axiom,
! [X0] : k1_pcomps_1(X0) = k1_zfmisc_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f3415,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(f3438,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(f3440,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)))
=> k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_tex_4) ).
fof(f3442,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(f3532,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(f3565,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(f3567,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(f3575,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(f3586,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)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X2,X0)
=> X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tsp_2) ).
fof(f3594,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X2 = u1_struct_0(X1)
=> ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_tsp_2) ).
fof(f3595,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(f3613,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [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',t17_tsp_2) ).
fof(f3633,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(f3634,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(f3635,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(f3638,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(f3639,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)],[f3638]) ).
fof(f3651,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(rectify,[],[f58]) ).
fof(f3827,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f3828,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f3827]) ).
fof(f3849,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f4110,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f433]) ).
fof(f4111,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4110]) ).
fof(f4112,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,[],[f434]) ).
fof(f4113,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,[],[f4112]) ).
fof(f4114,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,[],[f435]) ).
fof(f4115,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,[],[f4114]) ).
fof(f4118,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,[],[f437]) ).
fof(f4119,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,[],[f4118]) ).
fof(f4323,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,[],[f634]) ).
fof(f4324,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,[],[f4323]) ).
fof(f4550,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,[],[f858]) ).
fof(f4551,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,[],[f4550]) ).
fof(f4733,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1026]) ).
fof(f4791,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,[],[f1085]) ).
fof(f6148,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2190]) ).
fof(f6152,plain,
! [X0] :
( ! [X1] :
( k5_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2193]) ).
fof(f6193,plain,
! [X0] :
( ! [X1] :
( ( ( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0) )
& ( v4_pre_topc(X1,X0)
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,X1) != X1 ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2240]) ).
fof(f6194,plain,
! [X0] :
( ! [X1] :
( ( ( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0) )
& ( v4_pre_topc(X1,X0)
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,X1) != X1 ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6193]) ).
fof(f6201,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f6205,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2249]) ).
fof(f6208,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,[],[f2251]) ).
fof(f6209,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,[],[f6208]) ).
fof(f6210,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,[],[f2252]) ).
fof(f6211,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,[],[f6210]) ).
fof(f6212,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k5_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ 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,[],[f2253]) ).
fof(f6213,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k5_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ 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,[],[f6212]) ).
fof(f6216,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f2255]) ).
fof(f6217,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f6216]) ).
fof(f6223,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f2260]) ).
fof(f6224,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f6223]) ).
fof(f8163,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,[],[f3415]) ).
fof(f8164,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,[],[f8163]) ).
fof(f8209,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,[],[f3438]) ).
fof(f8210,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,[],[f8209]) ).
fof(f8213,plain,
! [X0] :
( ! [X1] :
( k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1)
| ~ 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,[],[f3440]) ).
fof(f8214,plain,
! [X0] :
( ! [X1] :
( k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1)
| ~ 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,[],[f8213]) ).
fof(f8217,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,[],[f3442]) ).
fof(f8218,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,[],[f8217]) ).
fof(f8382,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,[],[f3532]) ).
fof(f8383,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,[],[f8382]) ).
fof(f8445,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3565]) ).
fof(f8447,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3567]) ).
fof(f8462,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,[],[f3575]) ).
fof(f8463,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,[],[f8462]) ).
fof(f8484,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_tsp_2(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,[],[f3586]) ).
fof(f8485,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_tsp_2(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,[],[f8484]) ).
fof(f8500,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3594]) ).
fof(f8501,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_tsp_2(X2,X0)
<=> v2_tsp_2(X1,X0) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f8500]) ).
fof(f8502,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,[],[f3595]) ).
fof(f8503,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,[],[f8502]) ).
fof(f8538,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [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)) ) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ 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,[],[f3613]) ).
fof(f8539,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [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)) ) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f8538]) ).
fof(f8578,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,[],[f3633]) ).
fof(f8579,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,[],[f8578]) ).
fof(f8580,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,[],[f3634]) ).
fof(f8581,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,[],[f8580]) ).
fof(f8582,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,[],[f3635]) ).
fof(f8583,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,[],[f8582]) ).
fof(f8588,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,[],[f3639]) ).
fof(f8589,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,[],[f8588]) ).
fof(f8994,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(f8995,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,[],[f8994]) ).
fof(f9010,plain,
! [X0,X1] :
( ( k4_xboole_0(X0,X1) = k1_xboole_0
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| k1_xboole_0 != k4_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f9129,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,[],[f446]) ).
fof(f9424,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,[],[f1087]) ).
fof(f11040,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v4_pre_topc(X2,X0)
| ( v4_pre_topc(sK1319(X1,X2),X1)
& k3_xboole_0(X2,u1_struct_0(X1)) = sK1319(X1,X2)
& m1_subset_1(sK1319(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,[sK1319]),skolemize(X3,sK1319(X1,X2))],[f8383]) ).
fof(f11112,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,[],[f8447]) ).
fof(f11138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_tsp_2(X2,X0)
| ~ v2_tsp_2(X1,X0) )
& ( v2_tsp_2(X1,X0)
| ~ v1_tsp_2(X2,X0) ) )
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f8501]) ).
fof(f11154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& ? [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)) ) )
| ~ v4_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ 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,[],[f8539]) ).
fof(f11155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& ? [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)) ) )
| ~ v4_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f11154]) ).
fof(f11156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v4_pre_topc(X4,X1)
& k3_xboole_0(X2,u1_struct_0(X1)) = X4 ) )
| ~ v4_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f11155]) ).
fof(f11157,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v4_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& m1_subset_1(sK1376(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
& v4_pre_topc(sK1376(X1,X2),X1)
& k3_xboole_0(X2,u1_struct_0(X1)) = sK1376(X1,X2) )
| ~ v4_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ 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,[sK1376]),skolemize(X4,sK1376(X1,X2))],[f11156]) ).
fof(f11170,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,[],[f8579]) ).
fof(f11171,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,[],[f11170]) ).
fof(f11172,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ( k5_subset_1(u1_struct_0(X0),sK1385(X0,X1,X2),k3_tex_4(X0,sK1386(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK1386(X0,X1,X2))
& m1_subset_1(sK1386(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK1385(X0,X1,X2)
& m1_subset_1(sK1385(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,[sK1385,sK1386]),skolemize(X3,sK1385(X0,X1,X2)),skolemize(X4,sK1386(X0,X1,X2))],[f11171]) ).
fof(f11173,plain,
( k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),k5_subset_1(u1_struct_0(sK1387),sK1389,sK1390)) != k5_subset_1(u1_struct_0(sK1388),k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),sK1389),k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),sK1390))
& ( v4_pre_topc(sK1389,sK1387)
| v4_pre_topc(sK1390,sK1387) )
& m1_subset_1(sK1390,k1_zfmisc_1(u1_struct_0(sK1387)))
& m1_subset_1(sK1389,k1_zfmisc_1(u1_struct_0(sK1387)))
& ~ v3_struct_0(sK1388)
& v2_tsp_2(sK1388,sK1387)
& m2_tsp_1(sK1388,sK1387)
& ~ v3_struct_0(sK1387)
& v2_pre_topc(sK1387)
& l1_pre_topc(sK1387) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1387,sK1388,sK1389,sK1390]),skolemize(X0,sK1387),skolemize(X1,sK1388),skolemize(X2,sK1389),skolemize(X3,sK1390)],[f8589]) ).
fof(f11254,plain,
! [X0,X1] :
( r1_tarski(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f8995]) ).
fof(f11256,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f8995]) ).
fof(f11292,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f11293,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f3651]) ).
fof(f11295,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f62]) ).
fof(f11296,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f63]) ).
fof(f11297,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f11298,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(k1_xboole_0,X0),
inference(cnf_transformation,[],[f65]) ).
fof(f11299,plain,
! [X0] : k5_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f66]) ).
fof(f11303,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f3828]) ).
fof(f11320,plain,
! [X2,X0,X1] : k3_xboole_0(k3_xboole_0(X0,X1),X2) = k3_xboole_0(X0,k3_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f85]) ).
fof(f11334,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f3849]) ).
fof(f11342,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f11344,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k1_xboole_0 = k4_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9010]) ).
fof(f11347,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f109]) ).
fof(f11348,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f110]) ).
fof(f11354,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f116]) ).
fof(f11355,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f11356,plain,
! [X2,X0,X1] : k3_xboole_0(X0,k4_xboole_0(X1,X2)) = k4_xboole_0(k3_xboole_0(X0,X1),X2),
inference(cnf_transformation,[],[f118]) ).
fof(f11359,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f121]) ).
fof(f11360,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k2_xboole_0(X1,X2)) = k3_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f122]) ).
fof(f11403,plain,
! [X0] : k1_xboole_0 = k5_xboole_0(X0,X0),
inference(cnf_transformation,[],[f161]) ).
fof(f11405,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(k5_xboole_0(X0,X1),k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f163]) ).
fof(f11409,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f167]) ).
fof(f11411,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f169]) ).
fof(f11428,plain,
! [X2,X0,X1] : k4_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X2,X1)) = k3_xboole_0(k4_xboole_0(X0,X2),X1),
inference(cnf_transformation,[],[f180]) ).
fof(f11560,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f281]) ).
fof(f11788,plain,
! [X2,X0,X1] :
( k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4111]) ).
fof(f11789,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,[],[f4113]) ).
fof(f11790,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,[],[f4115]) ).
fof(f11792,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,[],[f4119]) ).
fof(f11801,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f9129]) ).
fof(f11802,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9129]) ).
fof(f12044,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,[],[f4324]) ).
fof(f12348,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,[],[f4551]) ).
fof(f12679,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f4733]) ).
fof(f12759,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,[],[f4791]) ).
fof(f12761,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9424]) ).
fof(f15214,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f6148]) ).
fof(f15217,plain,
! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6152]) ).
fof(f15293,plain,
! [X0,X1] :
( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6194]) ).
fof(f15304,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6201]) ).
fof(f15308,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6205]) ).
fof(f15311,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,[],[f6209]) ).
fof(f15312,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,[],[f6211]) ).
fof(f15313,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k5_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ 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,[],[f6213]) ).
fof(f15315,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f6217]) ).
fof(f15328,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f6224]) ).
fof(f16050,plain,
! [X0] : k1_pcomps_1(X0) = u1_pre_topc(k2_pcomps_1(X0)),
inference(cnf_transformation,[],[f2611]) ).
fof(f16171,plain,
! [X0] : k1_zfmisc_1(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f2652]) ).
fof(f18567,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,[],[f8164]) ).
fof(f18631,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,[],[f8210]) ).
fof(f18633,plain,
! [X0,X1] :
( k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
| ~ 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,[],[f8214]) ).
fof(f18635,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,[],[f8218]) ).
fof(f18885,plain,
! [X2,X0,X1] :
( ~ v4_pre_topc(X2,X0)
| k3_xboole_0(X2,u1_struct_0(X1)) = sK1319(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,[],[f11040]) ).
fof(f19076,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f8445]) ).
fof(f19078,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f11112]) ).
fof(f19098,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,[],[f8463]) ).
fof(f19099,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,[],[f8463]) ).
fof(f19100,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,[],[f8463]) ).
fof(f19101,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,[],[f8463]) ).
fof(f19134,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(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,[],[f8485]) ).
fof(f19153,plain,
! [X2,X0,X1] :
( v1_tsp_2(X2,X0)
| ~ v2_tsp_2(X1,X0)
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f11138]) ).
fof(f19154,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,[],[f8503]) ).
fof(f19209,plain,
! [X2,X0,X1] :
( k3_xboole_0(X2,u1_struct_0(X1)) = sK1376(X1,X2)
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ 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,[],[f11157]) ).
fof(f19211,plain,
! [X2,X0,X1] :
( m1_subset_1(sK1376(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ 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,[],[f11157]) ).
fof(f19212,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,X2) = X2
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ 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,[],[f11157]) ).
fof(f19260,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,[],[f11172]) ).
fof(f19265,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,[],[f8581]) ).
fof(f19266,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,[],[f8583]) ).
fof(f19270,plain,
l1_pre_topc(sK1387),
inference(cnf_transformation,[],[f11173]) ).
fof(f19271,plain,
v2_pre_topc(sK1387),
inference(cnf_transformation,[],[f11173]) ).
fof(f19272,plain,
~ v3_struct_0(sK1387),
inference(cnf_transformation,[],[f11173]) ).
fof(f19273,plain,
m2_tsp_1(sK1388,sK1387),
inference(cnf_transformation,[],[f11173]) ).
fof(f19274,plain,
v2_tsp_2(sK1388,sK1387),
inference(cnf_transformation,[],[f11173]) ).
fof(f19275,plain,
~ v3_struct_0(sK1388),
inference(cnf_transformation,[],[f11173]) ).
fof(f19276,plain,
m1_subset_1(sK1389,k1_zfmisc_1(u1_struct_0(sK1387))),
inference(cnf_transformation,[],[f11173]) ).
fof(f19277,plain,
m1_subset_1(sK1390,k1_zfmisc_1(u1_struct_0(sK1387))),
inference(cnf_transformation,[],[f11173]) ).
fof(f19278,plain,
( v4_pre_topc(sK1389,sK1387)
| v4_pre_topc(sK1390,sK1387) ),
inference(cnf_transformation,[],[f11173]) ).
fof(f19279,plain,
k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),k5_subset_1(u1_struct_0(sK1387),sK1389,sK1390)) != k5_subset_1(u1_struct_0(sK1388),k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),sK1389),k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),sK1390)),
inference(cnf_transformation,[],[f11173]) ).
fof(f19280,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f11405,f11355]) ).
fof(f19281,plain,
! [X0] : k1_zfmisc_1(X0) = u1_pre_topc(k2_pcomps_1(X0)),
inference(definition_unfolding,[],[f16171,f16050]) ).
fof(f19286,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f11411,f11355]) ).
fof(f19316,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f11292,f11355,f11355]) ).
fof(f19317,plain,
! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,X0)) = X0,
inference(definition_unfolding,[],[f11293,f11355]) ).
fof(f19318,plain,
! [X0] : k5_xboole_0(k5_xboole_0(X0,k1_xboole_0),k4_xboole_0(X0,k4_xboole_0(X0,k1_xboole_0))) = X0,
inference(definition_unfolding,[],[f11295,f19280]) ).
fof(f19319,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(X0,k4_xboole_0(X0,k1_xboole_0)),
inference(definition_unfolding,[],[f11296,f11355]) ).
fof(f19334,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))),
inference(definition_unfolding,[],[f11320,f11355,f11355,f11355,f11355]) ).
fof(f19348,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f11334,f11355]) ).
fof(f19353,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k5_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))),X1),
inference(definition_unfolding,[],[f11347,f19280]) ).
fof(f19354,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k5_xboole_0(k5_xboole_0(X1,X2),k4_xboole_0(X1,k4_xboole_0(X1,X2)))),
inference(definition_unfolding,[],[f11348,f19280]) ).
fof(f19360,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f11354,f11355]) ).
fof(f19361,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))),
inference(definition_unfolding,[],[f11356,f11355,f11355]) ).
fof(f19364,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k5_xboole_0(k5_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2))),k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2))))),
inference(definition_unfolding,[],[f11359,f19280,f11355]) ).
fof(f19365,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k5_xboole_0(k5_xboole_0(X1,X2),k4_xboole_0(X1,k4_xboole_0(X1,X2)))) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f11360,f19280,f11355]) ).
fof(f19385,plain,
! [X0,X1] : k5_xboole_0(X0,k4_xboole_0(X1,X0)) = k5_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f11409,f19280]) ).
fof(f19394,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k4_xboole_0(X2,k4_xboole_0(X2,X1))) = k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(k4_xboole_0(X0,X2),X1)),
inference(definition_unfolding,[],[f11428,f11355,f11355,f11355]) ).
fof(f19451,plain,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k5_xboole_0(k5_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f11560,f19280]) ).
fof(f19608,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(X0)))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(X0)))
| k4_subset_1(X0,X1,X2) = k5_xboole_0(k5_xboole_0(X1,X2),k4_xboole_0(X1,k4_xboole_0(X1,X2))) ),
inference(definition_unfolding,[],[f11788,f19280,f19281,f19281]) ).
fof(f19609,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),u1_pre_topc(k2_pcomps_1(X0)))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(X0)))
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(X0))) ),
inference(definition_unfolding,[],[f11789,f19281,f19281,f19281]) ).
fof(f19610,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(X0)))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(X0)))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
inference(definition_unfolding,[],[f11790,f19281,f19281]) ).
fof(f19612,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(X0)))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(X0)))
| k5_subset_1(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f11792,f11355,f19281,f19281]) ).
fof(f19618,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(X1)))
| ~ r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11802,f19281]) ).
fof(f19619,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(X1)))
| r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11801,f19281]) ).
fof(f19798,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,[],[f12348,f11355,f11355]) ).
fof(f19873,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(X2) ),
inference(definition_unfolding,[],[f12679,f19281]) ).
fof(f19910,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(k2_zfmisc_1(X0,X1))))
| ~ m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f12759,f19281]) ).
fof(f20371,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| k5_subset_1(u1_struct_0(X0),X1,k2_pre_topc(X0)) = X1
| ~ l1_struct_0(X0) ),
inference(definition_unfolding,[],[f15217,f19281]) ).
fof(f20428,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) = X1
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f15293,f19281]) ).
fof(f20439,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ l1_struct_0(X0) ),
inference(definition_unfolding,[],[f15308,f19281]) ).
fof(f20442,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),u1_pre_topc(k2_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,[],[f15311,f19281]) ).
fof(f20443,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k5_pre_topc(X0,X1,X2,X3),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ 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,[],[f15313,f19281]) ).
fof(f20444,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(X0,X1),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0)))) ),
inference(definition_unfolding,[],[f15315,f19281,f19281]) ).
fof(f20450,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
inference(definition_unfolding,[],[f15328,f19281]) ).
fof(f21765,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(k2_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,[],[f18567,f19281]) ).
fof(f21809,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(k2_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,[],[f18631,f19281]) ).
fof(f21811,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f18633,f19281]) ).
fof(f21814,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_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,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f18635,f19281,f19281]) ).
fof(f21912,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| sK1319(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,[],[f18885,f11355,f19281]) ).
fof(f22018,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v4_pre_topc(X2,X0)
| k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f19134,f19281,f19281]) ).
fof(f22033,plain,
! [X2,X0,X1] :
( v1_tsp_2(X2,X0)
| ~ v2_tsp_2(X1,X0)
| u1_struct_0(X1) != X2
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f19153,f19281]) ).
fof(f22035,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f19154,f19281]) ).
fof(f22053,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v4_pre_topc(X2,X0)
| k3_tex_4(X0,X2) = X2
| ~ 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,[],[f19212,f19281]) ).
fof(f22054,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v4_pre_topc(X2,X0)
| m1_subset_1(sK1376(X1,X2),u1_pre_topc(k2_pcomps_1(u1_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,[],[f19211,f19281,f19281]) ).
fof(f22056,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v4_pre_topc(X2,X0)
| sK1376(X1,X2) = k4_xboole_0(X2,k4_xboole_0(X2,u1_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,[],[f19209,f11355,f19281]) ).
fof(f22074,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,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,u1_pre_topc(k2_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,[],[f19260,f19281,f19281]) ).
fof(f22075,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_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,[],[f19265,f19281]) ).
fof(f22076,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_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,[],[f19266,f19281]) ).
fof(f22080,plain,
m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387)))),
inference(definition_unfolding,[],[f19277,f19281]) ).
fof(f22081,plain,
m1_subset_1(sK1389,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387)))),
inference(definition_unfolding,[],[f19276,f19281]) ).
fof(f22108,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f11254]) ).
fof(f22713,plain,
! [X0,X1] :
( v1_tsp_2(u1_struct_0(X1),X0)
| ~ v2_tsp_2(X1,X0)
| ~ m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f22033]) ).
fof(f22745,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,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_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,[],[f22074]) ).
fof(f22746,plain,
! [X0,X1,X6] :
( ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X6,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_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,[],[f22745]) ).
fof(f22747,definition,
sF1391 = k4_tsp_2(sK1387,sK1388),
introduced(definition,[new_symbols(definition,[sF1391])],[function_definition]) ).
fof(f22748,plain,
k4_tsp_2(sK1387,sK1388) = sF1391,
inference(reorient_equations,[],[f22747]) ).
fof(f22749,definition,
sF1392 = u1_struct_0(sK1387),
introduced(definition,[new_symbols(definition,[sF1392])],[function_definition]) ).
fof(f22750,plain,
u1_struct_0(sK1387) = sF1392,
inference(reorient_equations,[],[f22749]) ).
fof(f22751,definition,
sF1393 = k5_subset_1(sF1392,sK1389,sK1390),
introduced(definition,[new_symbols(definition,[sF1393])],[function_definition]) ).
fof(f22752,plain,
k5_subset_1(sF1392,sK1389,sK1390) = sF1393,
inference(reorient_equations,[],[f22751]) ).
fof(f22753,definition,
sF1394 = k4_pre_topc(sK1387,sK1388,sF1391,sF1393),
introduced(definition,[new_symbols(definition,[sF1394])],[function_definition]) ).
fof(f22754,plain,
k4_pre_topc(sK1387,sK1388,sF1391,sF1393) = sF1394,
inference(reorient_equations,[],[f22753]) ).
fof(f22755,definition,
sF1395 = u1_struct_0(sK1388),
introduced(definition,[new_symbols(definition,[sF1395])],[function_definition]) ).
fof(f22756,plain,
u1_struct_0(sK1388) = sF1395,
inference(reorient_equations,[],[f22755]) ).
fof(f22757,definition,
sF1396 = k4_pre_topc(sK1387,sK1388,sF1391,sK1389),
introduced(definition,[new_symbols(definition,[sF1396])],[function_definition]) ).
fof(f22758,plain,
k4_pre_topc(sK1387,sK1388,sF1391,sK1389) = sF1396,
inference(reorient_equations,[],[f22757]) ).
fof(f22759,definition,
sF1397 = k4_pre_topc(sK1387,sK1388,sF1391,sK1390),
introduced(definition,[new_symbols(definition,[sF1397])],[function_definition]) ).
fof(f22760,plain,
k4_pre_topc(sK1387,sK1388,sF1391,sK1390) = sF1397,
inference(reorient_equations,[],[f22759]) ).
fof(f22761,definition,
sF1398 = k5_subset_1(sF1395,sF1396,sF1397),
introduced(definition,[new_symbols(definition,[sF1398])],[function_definition]) ).
fof(f22762,plain,
k5_subset_1(sF1395,sF1396,sF1397) = sF1398,
inference(reorient_equations,[],[f22761]) ).
fof(f22763,plain,
sF1394 != sF1398,
inference(definition_folding,[],[f19279,f22762,f22760,f22748,f22758,f22748,f22756,f22754,f22752,f22750,f22748]) ).
fof(f22764,definition,
sF1399 = k2_pcomps_1(sF1392),
introduced(definition,[new_symbols(definition,[sF1399])],[function_definition]) ).
fof(f22765,plain,
k2_pcomps_1(sF1392) = sF1399,
inference(reorient_equations,[],[f22764]) ).
fof(f22766,definition,
sF1400 = u1_pre_topc(sF1399),
introduced(definition,[new_symbols(definition,[sF1400])],[function_definition]) ).
fof(f22767,plain,
u1_pre_topc(sF1399) = sF1400,
inference(reorient_equations,[],[f22766]) ).
fof(f22768,plain,
m1_subset_1(sK1390,sF1400),
inference(definition_folding,[],[f22080,f22767,f22765,f22750]) ).
fof(f22769,plain,
m1_subset_1(sK1389,sF1400),
inference(definition_folding,[],[f22081,f22767,f22765,f22750]) ).
fof(f22806,definition,
( spl1401_1
<=> v4_pre_topc(sK1390,sK1387) ),
introduced(definition,[new_symbols(definition,[spl1401_1])],[avatar_definition]) ).
fof(f22808,plain,
( v4_pre_topc(sK1390,sK1387)
| ~ spl1401_1 ),
inference(avatar_component_clause,[],[f22806]) ).
fof(f22810,definition,
( spl1401_2
<=> v4_pre_topc(sK1389,sK1387) ),
introduced(definition,[new_symbols(definition,[spl1401_2])],[avatar_definition]) ).
fof(f22812,plain,
( v4_pre_topc(sK1389,sK1387)
| ~ spl1401_2 ),
inference(avatar_component_clause,[],[f22810]) ).
fof(f22813,plain,
( spl1401_1
| spl1401_2 ),
inference(avatar_split_clause,[],[f19278,f22810,f22806]) ).
fof(f22815,plain,
! [X0,X1] :
( v1_tsp_2(u1_struct_0(X1),X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f22713,f22035]) ).
fof(f24709,plain,
! [X0,X1] : k5_xboole_0(X0,k4_xboole_0(X1,X0)) = k3_tarski(k2_tarski(X0,X1)),
inference(forward_demodulation,[],[f19385,f19451]) ).
fof(f24723,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2))) = k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(forward_demodulation,[],[f19365,f19451]) ).
fof(f24724,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2)))),
inference(forward_demodulation,[],[f19364,f19451]) ).
fof(f24731,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),X2) = k4_xboole_0(X0,k3_tarski(k2_tarski(X1,X2))),
inference(forward_demodulation,[],[f19354,f19451]) ).
fof(f24732,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X1),
inference(forward_demodulation,[],[f19353,f19451]) ).
fof(f24742,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X2)))),
inference(forward_demodulation,[],[f19334,f19361]) ).
fof(f24757,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(X0,X0),
inference(forward_demodulation,[],[f19319,f11297]) ).
fof(f24758,plain,
! [X0] : k3_tarski(k2_tarski(X0,k1_xboole_0)) = X0,
inference(forward_demodulation,[],[f19318,f19451]) ).
fof(f24878,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2)))))),
inference(forward_demodulation,[],[f24742,f19361]) ).
fof(f24955,plain,
( m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(superposition,[],[f20442,f22754]) ).
fof(f24956,plain,
( m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(superposition,[],[f20442,f22758]) ).
fof(f24957,plain,
( m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(superposition,[],[f20442,f22760]) ).
fof(f24961,definition,
( spl1401_391
<=> l1_struct_0(sK1388) ),
introduced(definition,[new_symbols(definition,[spl1401_391])],[avatar_definition]) ).
fof(f24962,plain,
( l1_struct_0(sK1388)
| ~ spl1401_391 ),
inference(avatar_component_clause,[],[f24961]) ).
fof(f24963,plain,
( ~ l1_struct_0(sK1388)
| spl1401_391 ),
inference(avatar_component_clause,[],[f24961]) ).
fof(f24969,plain,
( m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24957,f22756]) ).
fof(f24970,plain,
( m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24956,f22756]) ).
fof(f24971,plain,
( m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24955,f22756]) ).
fof(f24973,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395)
| m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24969,f22756]) ).
fof(f24974,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395)
| m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24970,f22756]) ).
fof(f24975,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395)
| m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24971,f22756]) ).
fof(f24977,definition,
( spl1401_393
<=> l1_struct_0(sK1387) ),
introduced(definition,[new_symbols(definition,[spl1401_393])],[avatar_definition]) ).
fof(f24978,plain,
( l1_struct_0(sK1387)
| ~ spl1401_393 ),
inference(avatar_component_clause,[],[f24977]) ).
fof(f24979,plain,
( ~ l1_struct_0(sK1387)
| spl1401_393 ),
inference(avatar_component_clause,[],[f24977]) ).
fof(f24984,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24973,f22750]) ).
fof(f24985,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24974,f22750]) ).
fof(f24986,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) ),
inference(forward_demodulation,[],[f24975,f22750]) ).
fof(f24987,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391) ),
inference(forward_demodulation,[],[f24984,f22756]) ).
fof(f24988,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391) ),
inference(forward_demodulation,[],[f24985,f22756]) ).
fof(f24989,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391) ),
inference(forward_demodulation,[],[f24986,f22756]) ).
fof(f24990,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391) ),
inference(forward_demodulation,[],[f24987,f22750]) ).
fof(f24991,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391) ),
inference(forward_demodulation,[],[f24988,f22750]) ).
fof(f24992,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391) ),
inference(forward_demodulation,[],[f24989,f22750]) ).
fof(f24994,definition,
( spl1401_395
<=> v1_funct_1(sF1391) ),
introduced(definition,[new_symbols(definition,[spl1401_395])],[avatar_definition]) ).
fof(f24995,plain,
( v1_funct_1(sF1391)
| ~ spl1401_395 ),
inference(avatar_component_clause,[],[f24994]) ).
fof(f24996,plain,
( ~ v1_funct_1(sF1391)
| spl1401_395 ),
inference(avatar_component_clause,[],[f24994]) ).
fof(f24998,definition,
( spl1401_396
<=> m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_396])],[avatar_definition]) ).
fof(f25000,plain,
( m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_396 ),
inference(avatar_component_clause,[],[f24998]) ).
fof(f25002,definition,
( spl1401_397
<=> v1_funct_2(sF1391,sF1392,sF1395) ),
introduced(definition,[new_symbols(definition,[spl1401_397])],[avatar_definition]) ).
fof(f25003,plain,
( v1_funct_2(sF1391,sF1392,sF1395)
| ~ spl1401_397 ),
inference(avatar_component_clause,[],[f25002]) ).
fof(f25006,definition,
( spl1401_398
<=> m1_relset_1(sF1391,sF1392,sF1395) ),
introduced(definition,[new_symbols(definition,[spl1401_398])],[avatar_definition]) ).
fof(f25007,plain,
( m1_relset_1(sF1391,sF1392,sF1395)
| ~ spl1401_398 ),
inference(avatar_component_clause,[],[f25006]) ).
fof(f25008,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| spl1401_398 ),
inference(avatar_component_clause,[],[f25006]) ).
fof(f25009,plain,
( ~ spl1401_395
| ~ spl1401_391
| ~ spl1401_393
| spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(avatar_split_clause,[],[f24990,f25006,f25002,f24998,f24977,f24961,f24994]) ).
fof(f25011,definition,
( spl1401_399
<=> m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_399])],[avatar_definition]) ).
fof(f25013,plain,
( m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_399 ),
inference(avatar_component_clause,[],[f25011]) ).
fof(f25014,plain,
( ~ spl1401_395
| ~ spl1401_391
| ~ spl1401_393
| spl1401_399
| ~ spl1401_397
| ~ spl1401_398 ),
inference(avatar_split_clause,[],[f24991,f25006,f25002,f25011,f24977,f24961,f24994]) ).
fof(f25016,definition,
( spl1401_400
<=> m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_400])],[avatar_definition]) ).
fof(f25018,plain,
( m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_400 ),
inference(avatar_component_clause,[],[f25016]) ).
fof(f25019,plain,
( ~ spl1401_395
| ~ spl1401_391
| ~ spl1401_393
| spl1401_400
| ~ spl1401_397
| ~ spl1401_398 ),
inference(avatar_split_clause,[],[f24992,f25006,f25002,f25016,f24977,f24961,f24994]) ).
fof(f25023,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF1395)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X2) = k4_pre_topc(X1,sK1388,X0,X2)
| ~ m1_relset_1(X0,u1_struct_0(X1),sF1395) ),
inference(superposition,[],[f15312,f22756]) ).
fof(f25025,plain,
! [X0] :
( ~ v2_tsp_2(sK1388,X0)
| v1_tsp_2(sF1395,X0)
| ~ m2_tsp_1(sK1388,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(superposition,[],[f22815,f22756]) ).
fof(f25027,plain,
( m1_subset_1(sF1398,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395))) ),
inference(superposition,[],[f19609,f22762]) ).
fof(f25028,plain,
( m1_subset_1(sF1393,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(sK1389,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(superposition,[],[f19609,f22752]) ).
fof(f25029,plain,
! [X0,X1] :
( m1_subset_1(k5_subset_1(sF1392,X0,X1),u1_pre_topc(sF1399))
| ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ m1_subset_1(X1,u1_pre_topc(sF1399)) ),
inference(superposition,[],[f19609,f22765]) ).
fof(f25030,plain,
! [X0,X1] :
( m1_subset_1(k5_subset_1(sF1392,X0,X1),sF1400)
| ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ m1_subset_1(X1,u1_pre_topc(sF1399)) ),
inference(forward_demodulation,[],[f25029,f22767]) ).
fof(f25031,plain,
( m1_subset_1(sF1393,u1_pre_topc(sF1399))
| ~ m1_subset_1(sK1389,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f25028,f22765]) ).
fof(f25033,definition,
( spl1401_401
<=> m1_subset_1(sF1398,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_401])],[avatar_definition]) ).
fof(f25035,plain,
( m1_subset_1(sF1398,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_401 ),
inference(avatar_component_clause,[],[f25033]) ).
fof(f25036,plain,
( ~ spl1401_396
| ~ spl1401_399
| spl1401_401 ),
inference(avatar_split_clause,[],[f25027,f25033,f25011,f24998]) ).
fof(f25037,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1400)
| m1_subset_1(k5_subset_1(sF1392,X0,X1),sF1400)
| ~ m1_subset_1(X1,u1_pre_topc(sF1399)) ),
inference(forward_demodulation,[],[f25030,f22767]) ).
fof(f25038,plain,
( m1_subset_1(sF1393,sF1400)
| ~ m1_subset_1(sK1389,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f25031,f22767]) ).
fof(f25039,plain,
! [X0,X1] :
( m1_subset_1(k5_subset_1(sF1392,X0,X1),sF1400)
| ~ m1_subset_1(X0,sF1400)
| ~ m1_subset_1(X1,sF1400) ),
inference(forward_demodulation,[],[f25037,f22767]) ).
fof(f25040,plain,
( ~ m1_subset_1(sK1389,u1_pre_topc(sF1399))
| m1_subset_1(sF1393,sF1400)
| ~ m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f25038,f22765]) ).
fof(f25041,plain,
( ~ m1_subset_1(sK1389,sF1400)
| m1_subset_1(sF1393,sF1400)
| ~ m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f25040,f22767]) ).
fof(f25042,plain,
( m1_subset_1(sF1393,sF1400)
| ~ m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_subsumption_resolution,[],[f25041,f22769]) ).
fof(f25043,plain,
( ~ m1_subset_1(sK1390,u1_pre_topc(sF1399))
| m1_subset_1(sF1393,sF1400) ),
inference(forward_demodulation,[],[f25042,f22765]) ).
fof(f25044,plain,
( ~ m1_subset_1(sK1390,sF1400)
| m1_subset_1(sF1393,sF1400) ),
inference(forward_demodulation,[],[f25043,f22767]) ).
fof(f25045,plain,
m1_subset_1(sF1393,sF1400),
inference(forward_subsumption_resolution,[],[f25044,f22768]) ).
fof(f25048,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| k5_subset_1(sF1392,X0,X1) = k5_subset_1(sF1392,X1,X0) ),
inference(superposition,[],[f19610,f22765]) ).
fof(f25049,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1400)
| ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| k5_subset_1(sF1392,X0,X1) = k5_subset_1(sF1392,X1,X0) ),
inference(forward_demodulation,[],[f25048,f22767]) ).
fof(f25050,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1400)
| ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,X1) = k5_subset_1(sF1392,X1,X0) ),
inference(forward_demodulation,[],[f25049,f22767]) ).
fof(f25051,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sK1390) = k5_subset_1(sF1392,sK1390,X0) ),
inference(resolution,[],[f25050,f22768]) ).
fof(f25052,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sK1389) = k5_subset_1(sF1392,sK1389,X0) ),
inference(resolution,[],[f25050,f22769]) ).
fof(f25055,plain,
k5_subset_1(sF1392,sK1389,sK1390) = k5_subset_1(sF1392,sK1390,sK1389),
inference(resolution,[],[f25051,f22769]) ).
fof(f25057,plain,
sF1393 = k5_subset_1(sF1392,sK1390,sK1389),
inference(forward_demodulation,[],[f25055,f22752]) ).
fof(f25066,plain,
( v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(superposition,[],[f19100,f22748]) ).
fof(f25084,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m2_tsp_1(X0,sK1387)
| v3_struct_0(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f22035,f22750]) ).
fof(f25087,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m2_tsp_1(X0,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25084,f19272]) ).
fof(f25091,definition,
( spl1401_402
<=> l1_pre_topc(sK1388) ),
introduced(definition,[new_symbols(definition,[spl1401_402])],[avatar_definition]) ).
fof(f25092,plain,
( l1_pre_topc(sK1388)
| ~ spl1401_402 ),
inference(avatar_component_clause,[],[f25091]) ).
fof(f25093,plain,
( ~ l1_pre_topc(sK1388)
| spl1401_402 ),
inference(avatar_component_clause,[],[f25091]) ).
fof(f25098,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_subsumption_resolution,[],[f25087,f19270]) ).
fof(f25099,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(sF1399))
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_demodulation,[],[f25098,f22765]) ).
fof(f25100,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),sF1400)
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_demodulation,[],[f25099,f22767]) ).
fof(f25109,plain,
( m1_subset_1(sF1395,sF1400)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(superposition,[],[f25100,f22756]) ).
fof(f25110,plain,
m1_subset_1(sF1395,sF1400),
inference(forward_subsumption_resolution,[],[f25109,f19273]) ).
fof(f25116,definition,
( spl1401_405
<=> m1_subset_1(sF1392,sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_405])],[avatar_definition]) ).
fof(f25118,plain,
( m1_subset_1(sF1392,sF1400)
| ~ spl1401_405 ),
inference(avatar_component_clause,[],[f25116]) ).
fof(f25120,plain,
k5_subset_1(sF1392,sF1395,sK1389) = k5_subset_1(sF1392,sK1389,sF1395),
inference(resolution,[],[f25110,f25052]) ).
fof(f25121,plain,
k5_subset_1(sF1392,sF1395,sK1390) = k5_subset_1(sF1392,sK1390,sF1395),
inference(resolution,[],[f25110,f25051]) ).
fof(f25122,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sF1395) = k5_subset_1(sF1392,sF1395,X0) ),
inference(resolution,[],[f25110,f25050]) ).
fof(f25123,plain,
( m1_pre_topc(sK1388,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(resolution,[],[f19078,f19273]) ).
fof(f25124,plain,
m1_pre_topc(sK1388,sK1387),
inference(forward_subsumption_resolution,[],[f25123,f19270]) ).
fof(f25125,plain,
( v1_tsp_2(sF1395,sK1387)
| ~ m2_tsp_1(sK1388,sK1387)
| v3_struct_0(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(resolution,[],[f25025,f19274]) ).
fof(f25126,plain,
( v1_tsp_2(sF1395,sK1387)
| v3_struct_0(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25125,f19273]) ).
fof(f25127,plain,
( v1_tsp_2(sF1395,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25126,f19272]) ).
fof(f25128,plain,
v1_tsp_2(sF1395,sK1387),
inference(forward_subsumption_resolution,[],[f25127,f19270]) ).
fof(f25131,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387)
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f22746,f22750]) ).
fof(f25141,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k5_subset_1(sF1392,X0,k2_pre_topc(sK1387)) = X0
| ~ l1_struct_0(sK1387) ),
inference(superposition,[],[f20371,f22750]) ).
fof(f25142,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k5_subset_1(sF1395,X0,k2_pre_topc(sK1388)) = X0
| ~ l1_struct_0(sK1388) ),
inference(superposition,[],[f20371,f22756]) ).
fof(f25145,plain,
l1_struct_0(sK1387),
inference(resolution,[],[f15304,f19270]) ).
fof(f25146,plain,
( $false
| spl1401_393 ),
inference(forward_subsumption_resolution,[],[f25145,f24979]) ).
fof(f25147,plain,
spl1401_393,
inference(avatar_contradiction_clause,[],[f25146]) ).
fof(f25150,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k5_subset_1(sF1392,X0,k2_pre_topc(sK1387)) = X0 )
| ~ spl1401_393 ),
inference(forward_subsumption_resolution,[],[f25141,f24978]) ).
fof(f25151,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| k5_subset_1(sF1392,X0,k2_pre_topc(sK1387)) = X0 )
| ~ spl1401_393 ),
inference(forward_demodulation,[],[f25150,f22765]) ).
fof(f25152,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,k2_pre_topc(sK1387)) = X0 )
| ~ spl1401_393 ),
inference(forward_demodulation,[],[f25151,f22767]) ).
fof(f25155,plain,
( sK1389 = k5_subset_1(sF1392,sK1389,k2_pre_topc(sK1387))
| ~ spl1401_393 ),
inference(resolution,[],[f25152,f22769]) ).
fof(f25156,plain,
( sK1390 = k5_subset_1(sF1392,sK1390,k2_pre_topc(sK1387))
| ~ spl1401_393 ),
inference(resolution,[],[f25152,f22768]) ).
fof(f25158,plain,
( sF1395 = k5_subset_1(sF1392,sF1395,k2_pre_topc(sK1387))
| ~ spl1401_393 ),
inference(resolution,[],[f25152,f25110]) ).
fof(f25163,plain,
( l1_pre_topc(sK1388)
| ~ l1_pre_topc(sK1387) ),
inference(resolution,[],[f19076,f19273]) ).
fof(f25164,plain,
( ~ l1_pre_topc(sK1387)
| spl1401_402 ),
inference(forward_subsumption_resolution,[],[f25163,f25093]) ).
fof(f25165,plain,
( $false
| spl1401_402 ),
inference(forward_subsumption_resolution,[],[f25164,f19270]) ).
fof(f25166,plain,
spl1401_402,
inference(avatar_contradiction_clause,[],[f25165]) ).
fof(f25167,plain,
( l1_struct_0(sK1388)
| ~ spl1401_402 ),
inference(resolution,[],[f25092,f15304]) ).
fof(f25168,plain,
( $false
| spl1401_391
| ~ spl1401_402 ),
inference(forward_subsumption_resolution,[],[f25167,f24963]) ).
fof(f25169,plain,
( spl1401_391
| ~ spl1401_402 ),
inference(avatar_contradiction_clause,[],[f25168]) ).
fof(f25170,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF1395)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X2) = k4_pre_topc(X1,sK1388,X0,X2)
| ~ m1_relset_1(X0,u1_struct_0(X1),sF1395) )
| ~ spl1401_391 ),
inference(forward_subsumption_resolution,[],[f25023,f24962]) ).
fof(f25172,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k5_subset_1(sF1395,X0,k2_pre_topc(sK1388)) = X0 )
| ~ spl1401_391 ),
inference(forward_subsumption_resolution,[],[f25142,f24962]) ).
fof(f25176,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0) = k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k3_tex_4(sK1387,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f22076,f22750]) ).
fof(f25179,plain,
( m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(superposition,[],[f19098,f22748]) ).
fof(f25184,plain,
( v5_pre_topc(sF1391,sK1387,sK1388)
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(superposition,[],[f19099,f22748]) ).
fof(f25211,plain,
( u1_struct_0(sK1387) = k2_pre_topc(sK1387)
| ~ spl1401_393 ),
inference(resolution,[],[f15214,f24978]) ).
fof(f25212,plain,
( sF1392 = k2_pre_topc(sK1387)
| ~ spl1401_393 ),
inference(forward_demodulation,[],[f25211,f22750]) ).
fof(f25213,plain,
( sK1390 = k5_subset_1(sF1392,sK1390,sF1392)
| ~ spl1401_393 ),
inference(superposition,[],[f25156,f25212]) ).
fof(f25214,plain,
( sK1389 = k5_subset_1(sF1392,sK1389,sF1392)
| ~ spl1401_393 ),
inference(superposition,[],[f25155,f25212]) ).
fof(f25219,plain,
( v1_funct_1(sF1391)
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(superposition,[],[f19101,f22748]) ).
fof(f25223,plain,
( u1_struct_0(sK1388) = k2_pre_topc(sK1388)
| ~ spl1401_391 ),
inference(resolution,[],[f24962,f15214]) ).
fof(f25224,plain,
( sF1395 = k2_pre_topc(sK1388)
| ~ spl1401_391 ),
inference(forward_demodulation,[],[f25223,f22756]) ).
fof(f25241,definition,
( spl1401_409
<=> m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_409])],[avatar_definition]) ).
fof(f25243,plain,
( m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_409 ),
inference(avatar_component_clause,[],[f25241]) ).
fof(f25249,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(X1))))
| k5_subset_1(u1_struct_0(X1),X0,u1_struct_0(X2)) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X2)))
| ~ m2_tsp_1(X2,X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(resolution,[],[f19612,f22035]) ).
fof(f25254,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| k4_xboole_0(X1,k4_xboole_0(X1,X0)) = k5_subset_1(sF1392,X1,X0) ),
inference(superposition,[],[f19612,f22765]) ).
fof(f25255,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1400)
| ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| k4_xboole_0(X1,k4_xboole_0(X1,X0)) = k5_subset_1(sF1392,X1,X0) ),
inference(forward_demodulation,[],[f25254,f22767]) ).
fof(f25256,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1400)
| ~ m1_subset_1(X0,sF1400)
| k4_xboole_0(X1,k4_xboole_0(X1,X0)) = k5_subset_1(sF1392,X1,X0) ),
inference(forward_demodulation,[],[f25255,f22767]) ).
fof(f25259,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sK1389,X0) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,X0)) ),
inference(resolution,[],[f25256,f22769]) ).
fof(f25260,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sK1390,X0) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,X0)) ),
inference(resolution,[],[f25256,f22768]) ).
fof(f25262,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sF1395,X0) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,X0)) ),
inference(resolution,[],[f25256,f25110]) ).
fof(f25268,plain,
k5_subset_1(sF1392,sK1390,sF1395) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)),
inference(resolution,[],[f25260,f25110]) ).
fof(f25269,plain,
k5_subset_1(sF1392,sF1395,sK1390) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)),
inference(forward_demodulation,[],[f25268,f25121]) ).
fof(f25278,plain,
k5_subset_1(sF1392,sK1389,sF1395) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)),
inference(resolution,[],[f25259,f25110]) ).
fof(f25279,plain,
k5_subset_1(sF1392,sF1395,sK1389) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)),
inference(forward_demodulation,[],[f25278,f25120]) ).
fof(f25283,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF1392,sF1395)
| ~ l1_struct_0(sK1387)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X1) = k4_pre_topc(sK1387,sK1388,X0,X1)
| ~ m1_relset_1(X0,sF1392,sF1395) )
| ~ spl1401_391 ),
inference(superposition,[],[f25170,f22750]) ).
fof(f25285,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF1392,sF1395)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X1) = k4_pre_topc(sK1387,sK1388,X0,X1)
| ~ m1_relset_1(X0,sF1392,sF1395) )
| ~ spl1401_391
| ~ spl1401_393 ),
inference(forward_subsumption_resolution,[],[f25283,f24978]) ).
fof(f25353,plain,
( sF1395 = k5_subset_1(sF1392,sF1395,sF1392)
| ~ spl1401_393 ),
inference(superposition,[],[f25158,f25212]) ).
fof(f25379,plain,
k5_subset_1(sF1392,sF1395,sK1389) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sK1389)),
inference(resolution,[],[f25262,f22769]) ).
fof(f25392,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1),
inference(superposition,[],[f11342,f19316]) ).
fof(f25419,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f21809,f22750]) ).
fof(f25463,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k6_pre_topc(sK1387,X0) = k6_pre_topc(sK1387,k3_tex_4(sK1387,X0))
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f21811,f22750]) ).
fof(f25510,plain,
r1_tarski(k5_subset_1(sF1392,sF1395,sK1389),sK1389),
inference(superposition,[],[f11342,f25279]) ).
fof(f25520,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| sK1376(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1)))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f22056,f22750]) ).
fof(f25610,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f19910,f19873]) ).
fof(f25695,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k6_pre_topc(sK1387,X0) = X0
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f20428,f22750]) ).
fof(f25701,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k6_pre_topc(sK1387,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f25695,f19270]) ).
fof(f25704,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v4_pre_topc(X0,sK1387)
| k6_pre_topc(sK1387,X0) = X0 ),
inference(forward_demodulation,[],[f25701,f22765]) ).
fof(f25705,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK1387)
| ~ m1_subset_1(X0,sF1400)
| k6_pre_topc(sK1387,X0) = X0 ),
inference(forward_demodulation,[],[f25704,f22767]) ).
fof(f25803,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),X0)),
inference(resolution,[],[f19348,f11342]) ).
fof(f25834,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = sK1319(X1,X0)
| ~ v4_pre_topc(X0,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f21912,f22750]) ).
fof(f25840,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = sK1319(X1,X0)
| ~ v4_pre_topc(X0,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_subsumption_resolution,[],[f25834,f19270]) ).
fof(f25843,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = sK1319(X1,X0)
| ~ v4_pre_topc(X0,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f25840,f22765]) ).
fof(f25844,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = sK1319(X1,X0)
| ~ v4_pre_topc(X0,sK1387)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f25843,f22767]) ).
fof(f25845,plain,
! [X0] :
( k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(sK1388))) = sK1319(sK1388,X0)
| ~ v4_pre_topc(X0,sK1387)
| ~ m1_subset_1(X0,sF1400) ),
inference(resolution,[],[f25844,f19273]) ).
fof(f25846,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,sF1395)) = sK1319(sK1388,X0)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f25845,f22756]) ).
fof(f25847,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1319(sK1388,sK1389)
| ~ m1_subset_1(sK1389,sF1400)
| ~ spl1401_2 ),
inference(resolution,[],[f25846,f22812]) ).
fof(f25848,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1319(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f25847,f22769]) ).
fof(f25849,plain,
( k5_subset_1(sF1392,sF1395,sK1389) = sK1319(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f25848,f25279]) ).
fof(f25850,plain,
( r1_tarski(sK1319(sK1388,sK1389),sK1389)
| ~ spl1401_2 ),
inference(superposition,[],[f25510,f25849]) ).
fof(f25935,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| m1_subset_1(sK1376(X1,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(X1))))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f22054,f22750]) ).
fof(f25975,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X1),k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f21814,f22750]) ).
fof(f26059,plain,
! [X0] :
( m1_subset_1(k6_pre_topc(sK1387,X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ l1_pre_topc(sK1387)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(superposition,[],[f20444,f22750]) ).
fof(f26076,plain,
! [X0] :
( m1_subset_1(k6_pre_topc(sK1387,X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_subsumption_resolution,[],[f26059,f19270]) ).
fof(f26079,plain,
! [X0] :
( m1_subset_1(k6_pre_topc(sK1387,X0),u1_pre_topc(sF1399))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f26076,f22765]) ).
fof(f26080,plain,
! [X0] :
( m1_subset_1(k6_pre_topc(sK1387,X0),sF1400)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f26079,f22767]) ).
fof(f26081,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| m1_subset_1(k6_pre_topc(sK1387,X0),sF1400) ),
inference(forward_demodulation,[],[f26080,f22765]) ).
fof(f26082,plain,
! [X0] :
( m1_subset_1(k6_pre_topc(sK1387,X0),sF1400)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f26081,f22767]) ).
fof(f26134,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| ~ v4_pre_topc(X0,X1)
| k3_tex_4(X1,X0) = X0
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(resolution,[],[f19618,f22053]) ).
fof(f26152,plain,
! [X0] :
( m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ r1_tarski(X0,sF1392) ),
inference(superposition,[],[f19618,f22765]) ).
fof(f26153,plain,
! [X0] :
( ~ r1_tarski(X0,sF1392)
| m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f26152,f22767]) ).
fof(f26168,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| r1_tarski(X0,sF1392) ),
inference(superposition,[],[f19619,f22765]) ).
fof(f26169,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| r1_tarski(X0,sF1392) ),
inference(forward_demodulation,[],[f26168,f22767]) ).
fof(f26177,plain,
r1_tarski(sK1390,sF1392),
inference(resolution,[],[f26169,f22768]) ).
fof(f26224,plain,
m1_subset_1(sF1392,sF1400),
inference(resolution,[],[f26153,f22108]) ).
fof(f26230,plain,
spl1401_405,
inference(avatar_split_clause,[],[f26224,f25116]) ).
fof(f26232,plain,
( k5_subset_1(sF1392,sK1390,sF1392) = k5_subset_1(sF1392,sF1392,sK1390)
| ~ spl1401_405 ),
inference(resolution,[],[f25118,f25051]) ).
fof(f26233,plain,
( k5_subset_1(sF1392,sK1389,sF1392) = k5_subset_1(sF1392,sF1392,sK1389)
| ~ spl1401_405 ),
inference(resolution,[],[f25118,f25052]) ).
fof(f26235,plain,
( k5_subset_1(sF1392,sF1395,sF1392) = k5_subset_1(sF1392,sF1392,sF1395)
| ~ spl1401_405 ),
inference(resolution,[],[f25118,f25122]) ).
fof(f26237,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k4_xboole_0(sF1392,k4_xboole_0(sF1392,X0)) = k5_subset_1(sF1392,sF1392,X0) )
| ~ spl1401_405 ),
inference(resolution,[],[f25118,f25256]) ).
fof(f26255,plain,
( sF1395 = k5_subset_1(sF1392,sF1392,sF1395)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26235,f25353]) ).
fof(f26257,plain,
( sK1389 = k5_subset_1(sF1392,sF1392,sK1389)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26233,f25214]) ).
fof(f26258,plain,
( sK1390 = k5_subset_1(sF1392,sF1392,sK1390)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26232,f25213]) ).
fof(f26271,plain,
( k5_subset_1(sF1392,sF1392,sK1389) = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1389))
| ~ spl1401_405 ),
inference(resolution,[],[f26237,f22769]) ).
fof(f26272,plain,
( k5_subset_1(sF1392,sF1392,sK1390) = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1390))
| ~ spl1401_405 ),
inference(resolution,[],[f26237,f22768]) ).
fof(f26275,plain,
( k5_subset_1(sF1392,sF1392,sF1395) = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sF1395))
| ~ spl1401_405 ),
inference(resolution,[],[f26237,f25110]) ).
fof(f26276,plain,
( sF1395 = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sF1395))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26275,f26255]) ).
fof(f26279,plain,
( sK1390 = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1390))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26272,f26258]) ).
fof(f26280,plain,
( sK1389 = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1389))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26271,f26257]) ).
fof(f26624,plain,
! [X0] : k3_tarski(k2_tarski(k4_xboole_0(X0,X0),X0)) = k5_xboole_0(k4_xboole_0(X0,X0),X0),
inference(superposition,[],[f24709,f19317]) ).
fof(f26648,plain,
! [X0] : k3_tarski(k2_tarski(k1_xboole_0,X0)) = k5_xboole_0(k1_xboole_0,X0),
inference(forward_demodulation,[],[f26624,f24757]) ).
fof(f26778,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f22075,f22750]) ).
fof(f26804,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X1,X0))) = k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(X2,k4_xboole_0(X2,k4_xboole_0(X1,X0)))),
inference(superposition,[],[f19394,f19316]) ).
fof(f26826,plain,
! [X0,X1] : k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,X1),X0)) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X0))),
inference(superposition,[],[f19394,f19317]) ).
fof(f26835,plain,
( ! [X0] : k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1389)) = k4_xboole_0(sK1389,k4_xboole_0(X0,k4_xboole_0(X0,sK1389)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f19394,f26280]) ).
fof(f26836,plain,
( ! [X0] : k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1390)) = k4_xboole_0(sK1390,k4_xboole_0(X0,k4_xboole_0(X0,sK1390)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f19394,f26279]) ).
fof(f26867,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X2,X1),k4_xboole_0(k4_xboole_0(X2,X1),X0)) = k4_xboole_0(k4_xboole_0(X2,k4_xboole_0(X2,X0)),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(superposition,[],[f19394,f19316]) ).
fof(f26916,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X2,X1),k4_xboole_0(k4_xboole_0(X2,X1),X0)) = k4_xboole_0(X2,k4_xboole_0(X2,k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))))),
inference(forward_demodulation,[],[f26867,f19361]) ).
fof(f26946,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X0))),
inference(forward_demodulation,[],[f26826,f25803]) ).
fof(f26968,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(X2,k4_xboole_0(X2,k4_xboole_0(X1,X0)))) = k4_xboole_0(X1,k3_tarski(k2_tarski(X2,X0))),
inference(forward_demodulation,[],[f26804,f24723]) ).
fof(f26986,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X2,X1),k4_xboole_0(k4_xboole_0(X2,X1),X0)) = k4_xboole_0(X2,k4_xboole_0(X2,k4_xboole_0(X0,X1))),
inference(forward_demodulation,[],[f26916,f19360]) ).
fof(f27020,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X1,X2),X0) = k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X1))),k4_xboole_0(X2,k4_xboole_0(X2,k4_xboole_0(X1,X0)))),
inference(forward_demodulation,[],[f26968,f24731]) ).
fof(f27058,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X1,X2),X0) = k4_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X2,k4_xboole_0(X2,k4_xboole_0(X1,X0)))),
inference(forward_demodulation,[],[f27020,f26946]) ).
fof(f27088,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X1,X0),X2) = k4_xboole_0(k4_xboole_0(X1,X2),X0),
inference(forward_demodulation,[],[f27058,f26946]) ).
fof(f28210,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1390))) = k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,sF1392)),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,sF1392)),sK1390))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f26836,f19316]) ).
fof(f28245,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1390))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1392,k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,sF1392)),sK1390))))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28210,f19361]) ).
fof(f28259,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1390))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1392,k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1390))))))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28245,f19361]) ).
fof(f28270,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1390))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1390))))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28259,f24878]) ).
fof(f28275,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,sK1390)) = k4_xboole_0(sK1390,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1390)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28270,f26279]) ).
fof(f28279,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,sK1390)) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,X0))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28275,f26946]) ).
fof(f28574,plain,
( ! [X0] : k4_xboole_0(sK1389,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1389))) = k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,sF1392)),k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,sF1392)),sK1389))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f26835,f19316]) ).
fof(f28611,plain,
( ! [X0] : k4_xboole_0(sK1389,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1389))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1392,k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,sF1392)),sK1389))))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28574,f19361]) ).
fof(f28626,plain,
( ! [X0] : k4_xboole_0(sK1389,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1389))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1392,k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389))))))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28611,f19361]) ).
fof(f28637,plain,
( ! [X0] : k4_xboole_0(sK1389,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1389))) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1389))))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28626,f24878]) ).
fof(f28643,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,sK1389)) = k4_xboole_0(sK1389,k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(k4_xboole_0(sF1392,X0),sK1389)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28637,f26280]) ).
fof(f28647,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,sK1389)) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,X0))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28643,f26946]) ).
fof(f28858,plain,
( k4_xboole_0(k1_xboole_0,k4_xboole_0(k1_xboole_0,sK1390)) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1390)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f26836,f24757]) ).
fof(f28868,plain,
( k4_xboole_0(sK1390,sF1392) = k4_xboole_0(k1_xboole_0,k4_xboole_0(k1_xboole_0,sK1390))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28858,f26946]) ).
fof(f28891,plain,
( k1_xboole_0 = k4_xboole_0(sK1390,sF1392)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28868,f11298]) ).
fof(f29226,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ v1_tsp_2(X1,sK1387)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f22018,f22750]) ).
fof(f29263,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_tarski(k2_tarski(k1_xboole_0,k4_xboole_0(X0,k4_xboole_0(X0,X1)))),
inference(superposition,[],[f24724,f24757]) ).
fof(f29338,plain,
! [X2,X0,X1] : k4_xboole_0(X1,k4_xboole_0(X2,k4_xboole_0(X1,X0))) = k3_tarski(k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X1))))),
inference(superposition,[],[f24724,f19316]) ).
fof(f29399,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(X0,sF1392)) = k3_tarski(k2_tarski(k4_xboole_0(sK1390,X0),k4_xboole_0(sK1390,k1_xboole_0)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f24724,f28891]) ).
fof(f29404,plain,
! [X2,X0,X1] : k4_xboole_0(X1,k4_xboole_0(X2,X0)) = k3_tarski(k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X0,k4_xboole_0(X0,X1)))),
inference(superposition,[],[f24724,f19316]) ).
fof(f29405,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[],[f24724,f19317]) ).
fof(f29456,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(X0,sF1392)) = k3_tarski(k2_tarski(k4_xboole_0(sK1390,X0),sK1390))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f29399,f11297]) ).
fof(f29505,plain,
! [X2,X0,X1] : k4_xboole_0(X1,k4_xboole_0(X2,k4_xboole_0(X1,X0))) = k3_tarski(k2_tarski(k4_xboole_0(X1,X2),k4_xboole_0(X1,X0))),
inference(forward_demodulation,[],[f29338,f26946]) ).
fof(f29566,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k5_xboole_0(k1_xboole_0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(forward_demodulation,[],[f29263,f26648]) ).
fof(f29583,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(X0,sF1392)) = k4_xboole_0(sK1390,k4_xboole_0(X0,sK1390))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f29456,f29405]) ).
fof(f30264,plain,
k4_xboole_0(sK1390,k4_xboole_0(k4_xboole_0(sK1390,sF1395),sK1390)) = k3_tarski(k2_tarski(k5_subset_1(sF1392,sF1395,sK1390),sK1390)),
inference(superposition,[],[f29405,f25269]) ).
fof(f30360,plain,
( k3_tarski(k2_tarski(k5_subset_1(sF1392,sF1395,sK1390),sK1390)) = k4_xboole_0(sK1390,k4_xboole_0(k4_xboole_0(sK1390,sF1395),sF1392))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f30264,f29583]) ).
fof(f33903,plain,
! [X0,X1] : k4_xboole_0(X1,X0) = k5_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(superposition,[],[f19286,f19316]) ).
fof(f34355,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(sK1390,X0)) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,X0))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f19316,f28279]) ).
fof(f34825,plain,
( ! [X0] : k4_xboole_0(sK1389,k4_xboole_0(sK1389,X0)) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,X0))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f19316,f28647]) ).
fof(f34844,plain,
( ! [X0] : k4_xboole_0(sK1389,k4_xboole_0(X0,k4_xboole_0(X0,sK1389))) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,k4_xboole_0(sF1392,X0)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f26835,f28647]) ).
fof(f34947,plain,
( ! [X0] : k4_xboole_0(sK1389,X0) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,k4_xboole_0(sF1392,X0)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f34844,f26946]) ).
fof(f36326,plain,
! [X0,X1] : k4_xboole_0(k4_xboole_0(X1,X0),X1) = k5_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X1)))),
inference(superposition,[],[f33903,f19316]) ).
fof(f36458,plain,
( k4_xboole_0(sF1395,sF1392) = k5_xboole_0(sF1395,sF1395)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f33903,f26276]) ).
fof(f36477,plain,
( k1_xboole_0 = k4_xboole_0(sF1395,sF1392)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f36458,f11403]) ).
fof(f36584,plain,
! [X0,X1] : k4_xboole_0(k4_xboole_0(X1,X0),X1) = k5_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X1,X0)),
inference(forward_demodulation,[],[f36326,f26946]) ).
fof(f36662,plain,
! [X0,X1] : k1_xboole_0 = k4_xboole_0(k4_xboole_0(X1,X0),X1),
inference(forward_demodulation,[],[f36584,f11403]) ).
fof(f36844,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0)) = k3_tarski(k2_tarski(k1_xboole_0,k4_xboole_0(sF1395,k4_xboole_0(sF1395,X0))))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f24724,f36477]) ).
fof(f36859,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0)) = k5_xboole_0(k1_xboole_0,k4_xboole_0(sF1395,k4_xboole_0(sF1395,X0)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f36844,f26648]) ).
fof(f36869,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sF1395,X0)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f36859,f29566]) ).
fof(f37930,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v4_pre_topc(k6_pre_topc(sK1387,X0),sK1387) ),
inference(superposition,[],[f20450,f22750]) ).
fof(f38453,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| k5_xboole_0(k5_xboole_0(X1,X0),k4_xboole_0(X1,k4_xboole_0(X1,X0))) = k4_subset_1(sF1392,X1,X0) ),
inference(superposition,[],[f19608,f22765]) ).
fof(f38454,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1400)
| ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| k5_xboole_0(k5_xboole_0(X1,X0),k4_xboole_0(X1,k4_xboole_0(X1,X0))) = k4_subset_1(sF1392,X1,X0) ),
inference(forward_demodulation,[],[f38453,f22767]) ).
fof(f38478,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1400)
| ~ m1_subset_1(X0,sF1400)
| k5_xboole_0(k5_xboole_0(X1,X0),k4_xboole_0(X1,k4_xboole_0(X1,X0))) = k4_subset_1(sF1392,X1,X0) ),
inference(forward_demodulation,[],[f38454,f22767]) ).
fof(f38479,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1400)
| k3_tarski(k2_tarski(X1,X0)) = k4_subset_1(sF1392,X1,X0)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f38478,f19451]) ).
fof(f38489,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k4_subset_1(sF1392,sK1389,X0) = k3_tarski(k2_tarski(sK1389,X0)) ),
inference(resolution,[],[f38479,f22769]) ).
fof(f38671,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| r1_tarski(X0,k3_tex_4(sK1387,X0))
| v3_struct_0(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f21765,f22750]) ).
fof(f38686,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| r1_tarski(X0,k3_tex_4(sK1387,X0))
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f38671,f19272]) ).
fof(f38692,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| r1_tarski(X0,k3_tex_4(sK1387,X0)) ),
inference(forward_subsumption_resolution,[],[f38686,f19270]) ).
fof(f38693,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| r1_tarski(X0,k3_tex_4(sK1387,X0)) ),
inference(forward_demodulation,[],[f38692,f22765]) ).
fof(f38694,plain,
! [X0] :
( r1_tarski(X0,k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f38693,f22767]) ).
fof(f38695,plain,
! [X0,X1] :
( r1_tarski(X1,k3_tex_4(sK1387,X0))
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X0,sF1400) ),
inference(resolution,[],[f38694,f11303]) ).
fof(f39721,plain,
( m1_subset_1(k2_pre_topc(sK1388),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1388) ),
inference(superposition,[],[f20439,f22756]) ).
fof(f39725,plain,
( m1_subset_1(k2_pre_topc(sK1388),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_391 ),
inference(forward_subsumption_resolution,[],[f39721,f24962]) ).
fof(f39740,plain,
( m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_391 ),
inference(forward_demodulation,[],[f39725,f25224]) ).
fof(f39744,plain,
( spl1401_409
| ~ spl1401_391 ),
inference(avatar_split_clause,[],[f39740,f24961,f25241]) ).
fof(f39765,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k5_subset_1(sF1395,X0,sF1395) = k5_subset_1(sF1395,sF1395,X0) )
| ~ spl1401_409 ),
inference(resolution,[],[f25243,f19610]) ).
fof(f39767,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k4_xboole_0(X0,k4_xboole_0(X0,sF1395)) = k5_subset_1(sF1395,X0,sF1395) )
| ~ spl1401_409 ),
inference(resolution,[],[f25243,f19612]) ).
fof(f39952,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = k5_subset_1(sF1392,X0,u1_struct_0(X1))
| ~ m2_tsp_1(X1,sK1387)
| v3_struct_0(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f25249,f22750]) ).
fof(f39966,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = k5_subset_1(sF1392,X0,u1_struct_0(X1))
| ~ m2_tsp_1(X1,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f39952,f19272]) ).
fof(f39973,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = k5_subset_1(sF1392,X0,u1_struct_0(X1))
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_subsumption_resolution,[],[f39966,f19270]) ).
fof(f39974,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = k5_subset_1(sF1392,X0,u1_struct_0(X1))
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f39973,f22765]) ).
fof(f39975,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) = k5_subset_1(sF1392,X0,u1_struct_0(X1))
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f39974,f22767]) ).
fof(f39976,plain,
! [X0] :
( k5_subset_1(sF1392,X0,u1_struct_0(sK1388)) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(sK1388)))
| ~ m1_subset_1(X0,sF1400) ),
inference(resolution,[],[f39975,f19273]) ).
fof(f39977,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sF1395) = k4_xboole_0(X0,k4_xboole_0(X0,sF1395)) ),
inference(forward_demodulation,[],[f39976,f22756]) ).
fof(f40618,plain,
( k4_xboole_0(k5_subset_1(sF1392,sF1395,sK1390),sK1390) = k4_xboole_0(k4_xboole_0(sK1390,k4_xboole_0(k4_xboole_0(sK1390,sF1395),sF1392)),sK1390)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f24732,f30360]) ).
fof(f40631,plain,
! [X0,X1] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,k3_tarski(k2_tarski(X0,X1)))),
inference(superposition,[],[f19316,f24732]) ).
fof(f40668,plain,
! [X0,X1] : k4_xboole_0(X1,k4_xboole_0(k4_xboole_0(X1,X0),X1)) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)),
inference(forward_demodulation,[],[f40631,f24731]) ).
fof(f40676,plain,
( k1_xboole_0 = k4_xboole_0(k5_subset_1(sF1392,sF1395,sK1390),sK1390)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f40618,f36662]) ).
fof(f40691,plain,
! [X0,X1] : k4_xboole_0(X1,k1_xboole_0) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)),
inference(forward_demodulation,[],[f40668,f36662]) ).
fof(f40706,plain,
! [X0,X1] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)) = X1,
inference(forward_demodulation,[],[f40691,f11297]) ).
fof(f40819,plain,
! [X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X0)),k4_xboole_0(k4_xboole_0(X0,X1),X0)) = X0,
inference(superposition,[],[f40706,f29405]) ).
fof(f41087,plain,
! [X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X0)),k1_xboole_0) = X0,
inference(forward_demodulation,[],[f40819,f36662]) ).
fof(f41149,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = X0,
inference(forward_demodulation,[],[f41087,f11297]) ).
fof(f41359,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X2,X0)) = k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X1,X0),X2),k4_xboole_0(X0,X0))),
inference(superposition,[],[f29404,f41149]) ).
fof(f41496,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X2,X0)) = k3_tarski(k2_tarski(k4_xboole_0(k4_xboole_0(X1,X0),X2),k1_xboole_0)),
inference(forward_demodulation,[],[f41359,f24757]) ).
fof(f41577,plain,
! [X2,X0,X1] : k4_xboole_0(k4_xboole_0(X1,X0),X2) = k4_xboole_0(k4_xboole_0(X1,X0),k4_xboole_0(X2,X0)),
inference(forward_demodulation,[],[f41496,f24758]) ).
fof(f44806,plain,
k4_xboole_0(sF1395,sK1389) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sF1395,sK1389)),
inference(superposition,[],[f26946,f25279]) ).
fof(f44811,plain,
k4_xboole_0(sF1395,sK1390) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sF1395,sK1390)),
inference(superposition,[],[f26946,f25269]) ).
fof(f46419,plain,
( ! [X0] : k4_xboole_0(sK1389,X0) = k4_xboole_0(k4_xboole_0(sF1392,X0),k4_xboole_0(sF1392,sK1389))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f27088,f26280]) ).
fof(f46606,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))) = k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(k4_xboole_0(X0,X1),X2)),
inference(superposition,[],[f26986,f27088]) ).
fof(f46669,plain,
( ! [X0,X1] : k4_xboole_0(sK1389,k4_xboole_0(sF1392,k4_xboole_0(X0,X1))) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,sK1389),X1))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f28647,f27088]) ).
fof(f46670,plain,
( ! [X0,X1] : k4_xboole_0(sK1390,k4_xboole_0(sF1392,k4_xboole_0(X0,X1))) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(k4_xboole_0(X0,sK1390),X1))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f28279,f27088]) ).
fof(f46680,plain,
( ! [X0,X1] : k4_xboole_0(sK1390,k4_xboole_0(sF1392,k4_xboole_0(X0,X1))) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,sK1390))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f46670,f41577]) ).
fof(f46681,plain,
( ! [X0,X1] : k4_xboole_0(sK1389,k4_xboole_0(sF1392,k4_xboole_0(X0,X1))) = k4_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,sK1389))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f46669,f41577]) ).
fof(f46721,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X1,X2))) = k4_xboole_0(k4_xboole_0(X0,X2),k4_xboole_0(X0,X1)),
inference(forward_demodulation,[],[f46606,f41577]) ).
fof(f47816,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(X0,sF1395))) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(sF1395,X0)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f36869,f19316]) ).
fof(f47834,plain,
( k5_subset_1(sF1392,sF1395,sK1389) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sK1389))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f25379,f36869]) ).
fof(f47859,plain,
( ! [X0,X1] : k4_xboole_0(sF1395,k4_xboole_0(X1,k4_xboole_0(sF1395,X0))) = k3_tarski(k2_tarski(k4_xboole_0(sF1395,X1),k4_xboole_0(sF1395,k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0)))))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f24724,f36869]) ).
fof(f47864,plain,
( ! [X0,X1] : k4_xboole_0(k4_xboole_0(sF1395,X1),k4_xboole_0(sF1395,X0)) = k4_xboole_0(k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0)),X1)
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f27088,f36869]) ).
fof(f47878,plain,
( ! [X0,X1] : k4_xboole_0(k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0)),X1) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,k4_xboole_0(X0,X1)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f47864,f46721]) ).
fof(f47882,plain,
( ! [X0,X1] : k4_xboole_0(sF1395,k4_xboole_0(X1,k4_xboole_0(sF1395,X0))) = k4_xboole_0(sF1395,k4_xboole_0(X1,k4_xboole_0(sF1392,X0)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f47859,f24724]) ).
fof(f47903,plain,
( ! [X0] : k4_xboole_0(sF1395,X0) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(sF1395,X0)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f47816,f26946]) ).
fof(f47919,plain,
( ! [X0,X1] : k4_xboole_0(k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0)),X1) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(X0,X1)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f47878,f36869]) ).
fof(f47937,plain,
( ! [X0] : k4_xboole_0(sF1395,X0) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(sF1392,X0)))
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f47903,f47882]) ).
fof(f54764,plain,
( v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f25066,f19272]) ).
fof(f54770,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25131,f19272]) ).
fof(f54771,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0) = k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k3_tex_4(sK1387,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25176,f19272]) ).
fof(f54777,plain,
( m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f25179,f19272]) ).
fof(f54778,plain,
( v5_pre_topc(sF1391,sK1387,sK1388)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f25184,f19272]) ).
fof(f54782,plain,
( v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_395 ),
inference(forward_subsumption_resolution,[],[f25219,f24996]) ).
fof(f54784,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25419,f19272]) ).
fof(f54789,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k6_pre_topc(sK1387,X0) = k6_pre_topc(sK1387,k3_tex_4(sK1387,X0))
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25463,f19272]) ).
fof(f54795,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| sK1376(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1)))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25520,f19272]) ).
fof(f54807,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| m1_subset_1(sK1376(X1,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(X1))))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25935,f19272]) ).
fof(f54811,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X1),k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25975,f19272]) ).
fof(f54832,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f26778,f19272]) ).
fof(f54845,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ v1_tsp_2(X1,sK1387)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f29226,f19272]) ).
fof(f54946,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ l1_pre_topc(sK1387)
| v4_pre_topc(k6_pre_topc(sK1387,X0),sK1387) ),
inference(forward_subsumption_resolution,[],[f37930,f19271]) ).
fof(f55008,plain,
( v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f54764,f19271]) ).
fof(f55012,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54770,f19271]) ).
fof(f55013,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0) = k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k3_tex_4(sK1387,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54771,f19271]) ).
fof(f55016,plain,
( m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f54777,f19271]) ).
fof(f55017,plain,
( v5_pre_topc(sF1391,sK1387,sK1388)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f54778,f19271]) ).
fof(f55019,plain,
( ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_395 ),
inference(forward_subsumption_resolution,[],[f54782,f19272]) ).
fof(f55021,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54784,f19271]) ).
fof(f55024,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k6_pre_topc(sK1387,X0) = k6_pre_topc(sK1387,k3_tex_4(sK1387,X0))
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54789,f19271]) ).
fof(f55027,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| sK1376(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1)))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54795,f19271]) ).
fof(f55030,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| m1_subset_1(sK1376(X1,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(X1))))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54807,f19271]) ).
fof(f55032,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X1),k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54811,f19271]) ).
fof(f55043,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54832,f19271]) ).
fof(f55059,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ v1_tsp_2(X1,sK1387)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f54845,f19271]) ).
fof(f55123,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| v4_pre_topc(k6_pre_topc(sK1387,X0),sK1387) ),
inference(forward_subsumption_resolution,[],[f54946,f19270]) ).
fof(f55167,plain,
( v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55008,f19270]) ).
fof(f55171,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_subsumption_resolution,[],[f55012,f19270]) ).
fof(f55172,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0) = k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k3_tex_4(sK1387,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_subsumption_resolution,[],[f55013,f19270]) ).
fof(f55178,plain,
( m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55016,f19270]) ).
fof(f55179,plain,
( v5_pre_topc(sF1391,sK1387,sK1388)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55017,f19270]) ).
fof(f55181,plain,
( ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_395 ),
inference(forward_subsumption_resolution,[],[f55019,f19271]) ).
fof(f55186,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f55021,f19270]) ).
fof(f55192,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k6_pre_topc(sK1387,X0) = k6_pre_topc(sK1387,k3_tex_4(sK1387,X0)) ),
inference(forward_subsumption_resolution,[],[f55024,f19270]) ).
fof(f55195,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| sK1376(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1)))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_subsumption_resolution,[],[f55027,f19270]) ).
fof(f55198,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| m1_subset_1(sK1376(X1,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(X1))))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_subsumption_resolution,[],[f55030,f19270]) ).
fof(f55203,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X1),k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_subsumption_resolution,[],[f55032,f19270]) ).
fof(f55217,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_subsumption_resolution,[],[f55043,f19270]) ).
fof(f55228,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ v1_tsp_2(X1,sK1387)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_subsumption_resolution,[],[f55059,f19270]) ).
fof(f55260,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| v4_pre_topc(k6_pre_topc(sK1387,X0),sK1387) ),
inference(forward_demodulation,[],[f55123,f22765]) ).
fof(f55282,plain,
( v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55167,f19275]) ).
fof(f55283,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_demodulation,[],[f55171,f22765]) ).
fof(f55284,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0) = k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k3_tex_4(sK1387,X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f55172,f22765]) ).
fof(f55285,plain,
( m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55178,f19275]) ).
fof(f55286,plain,
( v5_pre_topc(sF1391,sK1387,sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55179,f19275]) ).
fof(f55287,plain,
( v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_395 ),
inference(forward_subsumption_resolution,[],[f55181,f19270]) ).
fof(f55288,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0 ),
inference(forward_demodulation,[],[f55186,f22765]) ).
fof(f55290,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| k6_pre_topc(sK1387,X0) = k6_pre_topc(sK1387,k3_tex_4(sK1387,X0)) ),
inference(forward_demodulation,[],[f55192,f22765]) ).
fof(f55292,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v4_pre_topc(X0,sK1387)
| sK1376(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1)))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f55195,f22765]) ).
fof(f55293,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v4_pre_topc(X0,sK1387)
| m1_subset_1(sK1376(X1,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(X1))))
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f55198,f22765]) ).
fof(f55294,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X1),k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f55203,f22765]) ).
fof(f55302,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f55217,f22765]) ).
fof(f55307,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ v1_tsp_2(X1,sK1387)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f55228,f22765]) ).
fof(f55314,plain,
! [X0] :
( v4_pre_topc(k6_pre_topc(sK1387,X0),sK1387)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f55260,f22767]) ).
fof(f55323,plain,
( v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55282,f19274]) ).
fof(f55324,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1400)
| ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_demodulation,[],[f55283,f22767]) ).
fof(f55325,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK1387)
| k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0) = k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k3_tex_4(sK1387,X0))
| v3_struct_0(X1)
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f55284,f22767]) ).
fof(f55326,plain,
( m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55285,f19274]) ).
fof(f55327,plain,
( v5_pre_topc(sF1391,sK1387,sK1388)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55286,f19274]) ).
fof(f55328,plain,
( ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_395 ),
inference(forward_subsumption_resolution,[],[f55287,f19275]) ).
fof(f55329,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK1387)
| ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,X0) = X0 ),
inference(forward_demodulation,[],[f55288,f22767]) ).
fof(f55331,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k6_pre_topc(sK1387,X0) = k6_pre_topc(sK1387,k3_tex_4(sK1387,X0)) ),
inference(forward_demodulation,[],[f55290,f22767]) ).
fof(f55332,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK1387)
| ~ v4_pre_topc(X0,sK1387)
| sK1376(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1)))
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f55292,f22767]) ).
fof(f55333,plain,
! [X0,X1] :
( m1_subset_1(sK1376(X1,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(X1))))
| ~ v4_pre_topc(X0,sK1387)
| ~ m1_subset_1(X0,sF1400)
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f55293,f22767]) ).
fof(f55334,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1400)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X1),k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f55294,f22767]) ).
fof(f55340,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK1387)
| k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),k4_pre_topc(sK1387,X1,k4_tsp_2(sK1387,X1),X0))
| v3_struct_0(X1)
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_demodulation,[],[f55302,f22767]) ).
fof(f55345,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1400)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ v1_tsp_2(X1,sK1387)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_demodulation,[],[f55307,f22767]) ).
fof(f55354,plain,
v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)),
inference(forward_subsumption_resolution,[],[f55323,f25124]) ).
fof(f55355,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(sF1399))
| ~ m1_subset_1(X1,sF1400)
| ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_demodulation,[],[f55324,f22765]) ).
fof(f55356,plain,
m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)),
inference(forward_subsumption_resolution,[],[f55326,f25124]) ).
fof(f55357,plain,
v5_pre_topc(sF1391,sK1387,sK1388),
inference(forward_subsumption_resolution,[],[f55327,f25124]) ).
fof(f55358,plain,
( ~ m1_pre_topc(sK1388,sK1387)
| spl1401_395 ),
inference(forward_subsumption_resolution,[],[f55328,f19274]) ).
fof(f55359,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| ~ m1_subset_1(X0,sF1400)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X1),k3_tex_4(sK1387,X0)) ),
inference(forward_demodulation,[],[f55334,f22765]) ).
fof(f55362,definition,
( spl1401_615
<=> ! [X1] :
( ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ) ),
introduced(definition,[new_symbols(definition,[spl1401_615])],[avatar_definition]) ).
fof(f55363,plain,
( ! [X1] :
( ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) )
| ~ spl1401_615 ),
inference(avatar_component_clause,[],[f55362]) ).
fof(f55371,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| ~ m1_subset_1(X0,sF1400)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ v1_tsp_2(X1,sK1387) ),
inference(forward_demodulation,[],[f55345,f22765]) ).
fof(f55377,plain,
v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395),
inference(forward_demodulation,[],[f55354,f22756]) ).
fof(f55378,plain,
! [X0,X1] :
( ~ m1_subset_1(u1_struct_0(X0),sF1400)
| ~ m1_subset_1(X1,sF1400)
| ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_demodulation,[],[f55355,f22767]) ).
fof(f55379,plain,
m2_relset_1(sF1391,u1_struct_0(sK1387),sF1395),
inference(forward_demodulation,[],[f55356,f22756]) ).
fof(f55380,plain,
( $false
| spl1401_395 ),
inference(forward_subsumption_resolution,[],[f55358,f25124]) ).
fof(f55381,plain,
spl1401_395,
inference(avatar_contradiction_clause,[],[f55380]) ).
fof(f55382,plain,
! [X0,X1] :
( ~ v4_pre_topc(X0,sK1387)
| ~ m1_subset_1(X0,sF1400)
| ~ m1_subset_1(X1,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X1),k3_tex_4(sK1387,X0)) ),
inference(forward_demodulation,[],[f55359,f22767]) ).
fof(f55386,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,sK1387)
| ~ m1_subset_1(X0,sF1400)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ m1_subset_1(X1,sF1400) ),
inference(forward_demodulation,[],[f55371,f22767]) ).
fof(f55389,plain,
v1_funct_2(sF1391,sF1392,sF1395),
inference(forward_demodulation,[],[f55377,f22750]) ).
fof(f55390,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| ~ m1_subset_1(X1,sF1400)
| ~ v1_funct_1(k4_tsp_2(sK1387,X0))
| k4_pre_topc(sK1387,X0,k4_tsp_2(sK1387,X0),X1) = k5_subset_1(sF1392,u1_struct_0(X0),k3_tex_4(sK1387,X1))
| ~ v5_pre_topc(k4_tsp_2(sK1387,X0),sK1387,X0)
| ~ m2_relset_1(k4_tsp_2(sK1387,X0),sF1392,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK1387)
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_subsumption_resolution,[],[f55378,f25100]) ).
fof(f55391,plain,
m2_relset_1(sF1391,sF1392,sF1395),
inference(forward_demodulation,[],[f55379,f22750]) ).
fof(f55392,plain,
spl1401_397,
inference(avatar_split_clause,[],[f55389,f25002]) ).
fof(f55423,plain,
( ~ m1_subset_1(sK1389,sF1400)
| sK1389 = k3_tex_4(sK1387,sK1389)
| ~ spl1401_2 ),
inference(resolution,[],[f55329,f22812]) ).
fof(f55427,plain,
( sK1389 = k3_tex_4(sK1387,sK1389)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f55423,f22769]) ).
fof(f55433,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,X0)) = X0
| ~ m1_subset_1(sF1395,sF1400) ),
inference(resolution,[],[f55386,f25128]) ).
fof(f55434,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK1387)
| ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f55433,f25110]) ).
fof(f55546,plain,
m1_relset_1(sF1391,sF1392,sF1395),
inference(resolution,[],[f55391,f12761]) ).
fof(f55547,plain,
v1_relat_1(sF1391),
inference(resolution,[],[f55391,f25610]) ).
fof(f55548,plain,
( $false
| spl1401_398 ),
inference(forward_subsumption_resolution,[],[f55546,f25008]) ).
fof(f55549,plain,
spl1401_398,
inference(avatar_contradiction_clause,[],[f55548]) ).
fof(f55573,plain,
( sF1394 = k5_subset_1(sF1395,sF1394,k2_pre_topc(sK1388))
| ~ spl1401_391
| ~ spl1401_400 ),
inference(resolution,[],[f25018,f25172]) ).
fof(f55591,plain,
( k5_subset_1(sF1395,sF1394,sF1395) = k5_subset_1(sF1395,sF1395,sF1394)
| ~ spl1401_400
| ~ spl1401_409 ),
inference(resolution,[],[f25018,f39765]) ).
fof(f55592,plain,
( k5_subset_1(sF1395,sF1394,sF1395) = k4_xboole_0(sF1394,k4_xboole_0(sF1394,sF1395))
| ~ spl1401_400
| ~ spl1401_409 ),
inference(resolution,[],[f25018,f39767]) ).
fof(f55641,plain,
( sF1394 = k5_subset_1(sF1395,sF1394,sF1395)
| ~ spl1401_391
| ~ spl1401_400 ),
inference(forward_demodulation,[],[f55573,f25224]) ).
fof(f55653,plain,
( sF1396 = k5_subset_1(sF1395,sF1396,k2_pre_topc(sK1388))
| ~ spl1401_391
| ~ spl1401_399 ),
inference(resolution,[],[f25013,f25172]) ).
fof(f55671,plain,
( k5_subset_1(sF1395,sF1396,sF1395) = k5_subset_1(sF1395,sF1395,sF1396)
| ~ spl1401_399
| ~ spl1401_409 ),
inference(resolution,[],[f25013,f39765]) ).
fof(f55680,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k5_subset_1(sF1395,X0,sF1396) = k5_subset_1(sF1395,sF1396,X0) )
| ~ spl1401_399 ),
inference(resolution,[],[f25013,f19610]) ).
fof(f55682,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k5_subset_1(sF1395,X0,sF1396) = k4_xboole_0(X0,k4_xboole_0(X0,sF1396)) )
| ~ spl1401_399 ),
inference(resolution,[],[f25013,f19612]) ).
fof(f55725,plain,
( sF1396 = k5_subset_1(sF1395,sF1396,sF1395)
| ~ spl1401_391
| ~ spl1401_399 ),
inference(forward_demodulation,[],[f55653,f25224]) ).
fof(f55726,plain,
( sF1396 = k5_subset_1(sF1395,sF1395,sF1396)
| ~ spl1401_391
| ~ spl1401_399
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f55725,f55671]) ).
fof(f55727,plain,
( ~ m2_tsp_1(sK1388,sK1387)
| ~ spl1401_615 ),
inference(resolution,[],[f55363,f19274]) ).
fof(f55728,plain,
( $false
| ~ spl1401_615 ),
inference(forward_subsumption_resolution,[],[f55727,f19273]) ).
fof(f55729,plain,
~ spl1401_615,
inference(avatar_contradiction_clause,[],[f55728]) ).
fof(f55733,plain,
( sF1397 = k5_subset_1(sF1395,sF1397,k2_pre_topc(sK1388))
| ~ spl1401_391
| ~ spl1401_396 ),
inference(resolution,[],[f25000,f25172]) ).
fof(f55751,plain,
( k5_subset_1(sF1395,sF1397,sF1395) = k5_subset_1(sF1395,sF1395,sF1397)
| ~ spl1401_396
| ~ spl1401_409 ),
inference(resolution,[],[f25000,f39765]) ).
fof(f55752,plain,
( k5_subset_1(sF1395,sF1397,sF1395) = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1395))
| ~ spl1401_396
| ~ spl1401_409 ),
inference(resolution,[],[f25000,f39767]) ).
fof(f55805,plain,
( sF1397 = k5_subset_1(sF1395,sF1397,sF1395)
| ~ spl1401_391
| ~ spl1401_396 ),
inference(forward_demodulation,[],[f55733,f25224]) ).
fof(f55806,plain,
( sF1397 = k5_subset_1(sF1395,sF1395,sF1397)
| ~ spl1401_391
| ~ spl1401_396
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f55805,f55751]) ).
fof(f55813,plain,
! [X0] :
( k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),X0) = k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),k3_tex_4(sK1387,X0))
| v3_struct_0(sK1388)
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(resolution,[],[f55325,f19274]) ).
fof(f55814,plain,
! [X0] :
( k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),X0) = k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f55813,f19275]) ).
fof(f55815,plain,
! [X0] :
( k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),X0) = k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_subsumption_resolution,[],[f55814,f19273]) ).
fof(f55816,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k4_pre_topc(sK1387,sK1388,sF1391,k3_tex_4(sK1387,X0)) ),
inference(forward_demodulation,[],[f55815,f22748]) ).
fof(f55830,plain,
k4_pre_topc(sK1387,sK1388,sF1391,sK1390) = k4_pre_topc(sK1387,sK1388,sF1391,k3_tex_4(sK1387,sK1390)),
inference(resolution,[],[f55816,f22768]) ).
fof(f55835,plain,
sF1397 = k4_pre_topc(sK1387,sK1388,sF1391,k3_tex_4(sK1387,sK1390)),
inference(forward_demodulation,[],[f55830,f22760]) ).
fof(f55851,plain,
( sF1398 = k5_subset_1(sF1395,sF1398,k2_pre_topc(sK1388))
| ~ spl1401_391
| ~ spl1401_401 ),
inference(resolution,[],[f25035,f25172]) ).
fof(f55869,plain,
( k5_subset_1(sF1395,sF1398,sF1395) = k5_subset_1(sF1395,sF1395,sF1398)
| ~ spl1401_401
| ~ spl1401_409 ),
inference(resolution,[],[f25035,f39765]) ).
fof(f55870,plain,
( k5_subset_1(sF1395,sF1398,sF1395) = k4_xboole_0(sF1398,k4_xboole_0(sF1398,sF1395))
| ~ spl1401_401
| ~ spl1401_409 ),
inference(resolution,[],[f25035,f39767]) ).
fof(f55923,plain,
( sF1398 = k5_subset_1(sF1395,sF1398,sF1395)
| ~ spl1401_391
| ~ spl1401_401 ),
inference(forward_demodulation,[],[f55851,f25224]) ).
fof(f55924,plain,
( sF1398 = k5_subset_1(sF1395,sF1395,sF1398)
| ~ spl1401_391
| ~ spl1401_401
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f55923,f55869]) ).
fof(f55925,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(sK1388))) = sK1376(sK1388,X0)
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(resolution,[],[f55332,f19274]) ).
fof(f55926,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(sK1388))) = sK1376(sK1388,X0)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_subsumption_resolution,[],[f55925,f19273]) ).
fof(f55927,plain,
! [X0] :
( ~ v4_pre_topc(X0,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,sF1395)) = sK1376(sK1388,X0)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f55926,f22756]) ).
fof(f55928,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1376(sK1388,sK1389)
| ~ m1_subset_1(sK1389,sF1400)
| ~ spl1401_2 ),
inference(resolution,[],[f55927,f22812]) ).
fof(f55934,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1376(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f55928,f22769]) ).
fof(f55936,plain,
( k5_subset_1(sF1392,sF1395,sK1389) = sK1376(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f55934,f25279]) ).
fof(f55938,plain,
( sK1319(sK1388,sK1389) = sK1376(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f55936,f25849]) ).
fof(f55942,plain,
( ! [X0,X1] :
( ~ v1_relat_1(sF1391)
| k9_relat_1(sF1391,k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(sF1391,X1)))) = k4_xboole_0(k9_relat_1(sF1391,X0),k4_xboole_0(k9_relat_1(sF1391,X0),X1)) )
| ~ spl1401_395 ),
inference(resolution,[],[f24995,f19798]) ).
fof(f55943,plain,
( ! [X0,X1] : k9_relat_1(sF1391,k4_xboole_0(X0,k4_xboole_0(X0,k10_relat_1(sF1391,X1)))) = k4_xboole_0(k9_relat_1(sF1391,X0),k4_xboole_0(k9_relat_1(sF1391,X0),X1))
| ~ spl1401_395 ),
inference(forward_subsumption_resolution,[],[f55942,f55547]) ).
fof(f55975,plain,
( ! [X0] :
( ~ v1_funct_1(sF1391)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k9_relat_1(sF1391,X0)
| ~ m1_relset_1(sF1391,sF1392,sF1395) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_397 ),
inference(resolution,[],[f25003,f25285]) ).
fof(f55979,plain,
( ! [X0] :
( k4_pre_topc(sK1387,sK1388,sF1391,X0) = k9_relat_1(sF1391,X0)
| ~ m1_relset_1(sF1391,sF1392,sF1395) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f55975,f24995]) ).
fof(f55981,plain,
( ! [X0] : k4_pre_topc(sK1387,sK1388,sF1391,X0) = k9_relat_1(sF1391,X0)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f55979,f25007]) ).
fof(f55989,plain,
( sF1397 = k9_relat_1(sF1391,k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f55835,f55981]) ).
fof(f55990,plain,
( sF1396 = k9_relat_1(sF1391,sK1389)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f22758,f55981]) ).
fof(f55991,plain,
( sF1397 = k9_relat_1(sF1391,sK1390)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f22760,f55981]) ).
fof(f55992,plain,
( sF1394 = k9_relat_1(sF1391,sF1393)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f22754,f55981]) ).
fof(f55994,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f20442,f55981]) ).
fof(f55996,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f55994,f24978]) ).
fof(f55998,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f55996,f24962]) ).
fof(f56000,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f55998,f24995]) ).
fof(f56002,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56000,f22756]) ).
fof(f56004,plain,
( ! [X0] :
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395)
| m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56002,f22756]) ).
fof(f56006,plain,
( ! [X0] :
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56004,f22750]) ).
fof(f56008,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f56006,f25003]) ).
fof(f56010,plain,
( ! [X0] :
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(sF1395))) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56008,f22756]) ).
fof(f56012,plain,
( ! [X0] :
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(sF1395))) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56010,f22750]) ).
fof(f56014,plain,
( ! [X0] : m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f56012,f25007]) ).
fof(f56107,plain,
( m1_subset_1(sK1319(sK1388,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ v4_pre_topc(sK1389,sK1387)
| ~ m1_subset_1(sK1389,sF1400)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m2_tsp_1(sK1388,sK1387)
| ~ spl1401_2 ),
inference(superposition,[],[f55333,f55938]) ).
fof(f56116,plain,
( m1_subset_1(sK1319(sK1388,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ m1_subset_1(sK1389,sF1400)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m2_tsp_1(sK1388,sK1387)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f56107,f22812]) ).
fof(f56140,plain,
( m1_subset_1(sK1319(sK1388,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m2_tsp_1(sK1388,sK1387)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f56116,f22769]) ).
fof(f56154,plain,
( m1_subset_1(sK1319(sK1388,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ m2_tsp_1(sK1388,sK1387)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f56140,f19274]) ).
fof(f56156,plain,
( m1_subset_1(sK1319(sK1388,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1388))))
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f56154,f19273]) ).
fof(f56158,plain,
( m1_subset_1(sK1319(sK1388,sK1389),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f56156,f22756]) ).
fof(f56186,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k5_subset_1(sF1395,X0,sK1319(sK1388,sK1389)) = k5_subset_1(sF1395,sK1319(sK1388,sK1389),X0) )
| ~ spl1401_2 ),
inference(resolution,[],[f56158,f19610]) ).
fof(f56188,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k4_xboole_0(X0,k4_xboole_0(X0,sK1319(sK1388,sK1389))) = k5_subset_1(sF1395,X0,sK1319(sK1388,sK1389)) )
| ~ spl1401_2 ),
inference(resolution,[],[f56158,f19612]) ).
fof(f56342,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF1391,X0),sF1397)
| ~ r1_tarski(X0,k3_tex_4(sK1387,sK1390))
| ~ v1_relat_1(sF1391) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f12044,f55989]) ).
fof(f56453,plain,
k6_pre_topc(sK1387,sK1389) = k6_pre_topc(sK1387,k3_tex_4(sK1387,sK1389)),
inference(resolution,[],[f55331,f22769]) ).
fof(f56466,plain,
( ! [X0] :
( r1_tarski(sF1397,k9_relat_1(sF1391,X0))
| ~ r1_tarski(sK1390,X0)
| ~ v1_relat_1(sF1391) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f12044,f55991]) ).
fof(f56468,plain,
! [X0] :
( ~ v1_funct_2(sF1391,sF1392,u1_struct_0(sK1388))
| ~ m1_subset_1(X0,sF1400)
| ~ v1_funct_1(sF1391)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,u1_struct_0(sK1388),k3_tex_4(sK1387,X0))
| ~ v5_pre_topc(sF1391,sK1387,sK1388)
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388))
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(superposition,[],[f55390,f22748]) ).
fof(f56474,plain,
( ! [X0] :
( ~ v1_funct_2(sF1391,sF1392,u1_struct_0(sK1388))
| ~ m1_subset_1(X0,sF1400)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,u1_struct_0(sK1388),k3_tex_4(sK1387,X0))
| ~ v5_pre_topc(sF1391,sK1387,sK1388)
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388))
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m2_tsp_1(sK1388,sK1387) )
| ~ spl1401_395 ),
inference(forward_subsumption_resolution,[],[f56468,f24995]) ).
fof(f56476,plain,
( ! [X0] :
( ~ v1_funct_2(sF1391,sF1392,u1_struct_0(sK1388))
| ~ m1_subset_1(X0,sF1400)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,u1_struct_0(sK1388),k3_tex_4(sK1387,X0))
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388))
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m2_tsp_1(sK1388,sK1387) )
| ~ spl1401_395 ),
inference(forward_subsumption_resolution,[],[f56474,f55357]) ).
fof(f56478,plain,
( ! [X0] :
( ~ v1_funct_2(sF1391,sF1392,u1_struct_0(sK1388))
| ~ m1_subset_1(X0,sF1400)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,u1_struct_0(sK1388),k3_tex_4(sK1387,X0))
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388))
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m2_tsp_1(sK1388,sK1387) )
| ~ spl1401_395 ),
inference(forward_subsumption_resolution,[],[f56476,f19275]) ).
fof(f56480,plain,
( ! [X0] :
( ~ v1_funct_2(sF1391,sF1392,u1_struct_0(sK1388))
| ~ m1_subset_1(X0,sF1400)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,u1_struct_0(sK1388),k3_tex_4(sK1387,X0))
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388))
| ~ m2_tsp_1(sK1388,sK1387) )
| ~ spl1401_395 ),
inference(forward_subsumption_resolution,[],[f56478,f19274]) ).
fof(f56482,plain,
( ! [X0] :
( ~ v1_funct_2(sF1391,sF1392,u1_struct_0(sK1388))
| ~ m1_subset_1(X0,sF1400)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,u1_struct_0(sK1388),k3_tex_4(sK1387,X0))
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388)) )
| ~ spl1401_395 ),
inference(forward_subsumption_resolution,[],[f56480,f19273]) ).
fof(f56484,plain,
( ! [X0] :
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| ~ m1_subset_1(X0,sF1400)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,u1_struct_0(sK1388),k3_tex_4(sK1387,X0))
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388)) )
| ~ spl1401_395 ),
inference(forward_demodulation,[],[f56482,f22756]) ).
fof(f56486,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,u1_struct_0(sK1388),k3_tex_4(sK1387,X0))
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388)) )
| ~ spl1401_395
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f56484,f25003]) ).
fof(f56488,plain,
( ! [X0] :
( k4_pre_topc(sK1387,sK1388,sF1391,X0) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X0,sF1400)
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388)) )
| ~ spl1401_395
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f56486,f22756]) ).
fof(f56490,plain,
( ! [X0] :
( k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,X0)) = k9_relat_1(sF1391,X0)
| ~ m1_subset_1(X0,sF1400)
| ~ m2_relset_1(sF1391,sF1392,u1_struct_0(sK1388)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56488,f55981]) ).
fof(f56492,plain,
( ! [X0] :
( ~ m2_relset_1(sF1391,sF1392,sF1395)
| k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,X0)) = k9_relat_1(sF1391,X0)
| ~ m1_subset_1(X0,sF1400) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56490,f22756]) ).
fof(f56494,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,X0)) = k9_relat_1(sF1391,X0) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f56492,f55391]) ).
fof(f56508,plain,
( k9_relat_1(sF1391,sK1389) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f56494,f22769]) ).
fof(f56509,plain,
( k9_relat_1(sF1391,sK1390) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f56494,f22768]) ).
fof(f56511,plain,
( k9_relat_1(sF1391,sF1393) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sF1393))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f56494,f25045]) ).
fof(f56513,plain,
( sF1394 = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sF1393))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56511,f55992]) ).
fof(f56515,plain,
( sF1397 = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56509,f55991]) ).
fof(f56516,plain,
( k5_subset_1(sF1392,sF1395,sK1389) = k9_relat_1(sF1391,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56508,f55427]) ).
fof(f56518,plain,
( sF1396 = k5_subset_1(sF1392,sF1395,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56516,f55990]) ).
fof(f56519,plain,
( sF1396 = sK1319(sK1388,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56518,f25849]) ).
fof(f56523,plain,
( m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f19609,f56513]) ).
fof(f56524,plain,
( m1_subset_1(sF1394,u1_pre_topc(sF1399))
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56523,f22765]) ).
fof(f56525,plain,
( m1_subset_1(sF1394,sF1400)
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56524,f22767]) ).
fof(f56526,plain,
( r1_tarski(sF1396,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f25850,f56519]) ).
fof(f56586,plain,
( m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f19609,f56515]) ).
fof(f56587,plain,
( m1_subset_1(sF1397,u1_pre_topc(sF1399))
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56586,f22765]) ).
fof(f56588,plain,
( m1_subset_1(sF1397,sF1400)
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56587,f22767]) ).
fof(f56689,plain,
( sF1394 = k5_subset_1(sF1395,sF1395,sF1394)
| ~ spl1401_391
| ~ spl1401_400
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f55641,f55591]) ).
fof(f56701,plain,
( ! [X0] :
( ~ r1_tarski(X0,k3_tex_4(sK1387,sK1390))
| r1_tarski(k9_relat_1(sF1391,X0),sF1397) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f56342,f55547]) ).
fof(f56704,plain,
( ! [X0] :
( r1_tarski(sF1397,k9_relat_1(sF1391,X0))
| ~ r1_tarski(sK1390,X0) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f56466,f55547]) ).
fof(f56710,plain,
( ~ m1_subset_1(sF1395,u1_pre_topc(sF1399))
| m1_subset_1(sF1394,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56525,f22765]) ).
fof(f56714,plain,
( ~ m1_subset_1(sF1395,u1_pre_topc(sF1399))
| m1_subset_1(sF1397,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56588,f22765]) ).
fof(f56728,definition,
( spl1401_676
<=> m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_676])],[avatar_definition]) ).
fof(f56729,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400)
| ~ spl1401_676 ),
inference(avatar_component_clause,[],[f56728]) ).
fof(f56730,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400)
| spl1401_676 ),
inference(avatar_component_clause,[],[f56728]) ).
fof(f56732,definition,
( spl1401_677
<=> m1_subset_1(sF1394,sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_677])],[avatar_definition]) ).
fof(f56734,plain,
( m1_subset_1(sF1394,sF1400)
| ~ spl1401_677 ),
inference(avatar_component_clause,[],[f56732]) ).
fof(f56736,plain,
( ~ m1_subset_1(sF1395,sF1400)
| m1_subset_1(sF1394,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56710,f22767]) ).
fof(f56739,definition,
( spl1401_678
<=> m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_678])],[avatar_definition]) ).
fof(f56740,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400)
| ~ spl1401_678 ),
inference(avatar_component_clause,[],[f56739]) ).
fof(f56741,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400)
| spl1401_678 ),
inference(avatar_component_clause,[],[f56739]) ).
fof(f56743,definition,
( spl1401_679
<=> m1_subset_1(sF1397,sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_679])],[avatar_definition]) ).
fof(f56745,plain,
( m1_subset_1(sF1397,sF1400)
| ~ spl1401_679 ),
inference(avatar_component_clause,[],[f56743]) ).
fof(f56747,plain,
( ~ m1_subset_1(sF1395,sF1400)
| m1_subset_1(sF1397,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56714,f22767]) ).
fof(f56752,plain,
( m1_subset_1(sF1394,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f56736,f25110]) ).
fof(f56754,plain,
( m1_subset_1(sF1397,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f56747,f25110]) ).
fof(f56759,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(sF1399))
| m1_subset_1(sF1394,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56752,f22765]) ).
fof(f56761,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(sF1399))
| m1_subset_1(sF1397,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56754,f22765]) ).
fof(f56764,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400)
| m1_subset_1(sF1394,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56759,f22767]) ).
fof(f56766,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400)
| m1_subset_1(sF1397,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56761,f22767]) ).
fof(f56772,plain,
( spl1401_677
| ~ spl1401_676
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(avatar_split_clause,[],[f56764,f25006,f25002,f24994,f24977,f24961,f56728,f56732]) ).
fof(f56777,plain,
( spl1401_679
| ~ spl1401_678
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(avatar_split_clause,[],[f56766,f25006,f25002,f24994,f24977,f24961,f56739,f56743]) ).
fof(f57154,plain,
( k5_subset_1(sF1395,sF1397,sK1319(sK1388,sK1389)) = k5_subset_1(sF1395,sK1319(sK1388,sK1389),sF1397)
| ~ spl1401_2
| ~ spl1401_396 ),
inference(resolution,[],[f56186,f25000]) ).
fof(f57157,plain,
( k5_subset_1(sF1395,sF1396,sF1397) = k5_subset_1(sF1395,sF1397,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f57154,f56519]) ).
fof(f57377,plain,
( ! [X0,X1] : m1_subset_1(k4_xboole_0(k9_relat_1(sF1391,X0),k4_xboole_0(k9_relat_1(sF1391,X0),X1)),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f56014,f55943]) ).
fof(f57574,plain,
( sF1398 = k5_subset_1(sF1395,sF1397,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f57157,f22762]) ).
fof(f57783,plain,
( k5_subset_1(sF1395,sF1397,sK1319(sK1388,sK1389)) = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sK1319(sK1388,sK1389)))
| ~ spl1401_2
| ~ spl1401_396 ),
inference(resolution,[],[f56188,f25000]) ).
fof(f57786,plain,
( k5_subset_1(sF1395,sF1397,sF1396) = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1396))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f57783,f56519]) ).
fof(f57803,plain,
( sF1398 = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1396))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f57786,f57574]) ).
fof(f57822,plain,
( r1_tarski(sF1398,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f25392,f57803]) ).
fof(f57934,definition,
( spl1401_709
<=> r1_tarski(sF1397,sK1390) ),
introduced(definition,[new_symbols(definition,[spl1401_709])],[avatar_definition]) ).
fof(f57935,plain,
( r1_tarski(sF1397,sK1390)
| ~ spl1401_709 ),
inference(avatar_component_clause,[],[f57934]) ).
fof(f57983,plain,
! [X0] :
( k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),X0))
| v3_struct_0(sK1388)
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(resolution,[],[f55340,f19274]) ).
fof(f57984,plain,
! [X0] :
( k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),X0))
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f57983,f19275]) ).
fof(f57985,plain,
! [X0] :
( k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),k4_pre_topc(sK1387,sK1388,k4_tsp_2(sK1387,sK1388),X0))
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_subsumption_resolution,[],[f57984,f19273]) ).
fof(f57986,plain,
! [X0] :
( k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,sK1388,sF1391,k4_pre_topc(sK1387,sK1388,sF1391,X0))
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f57985,f22748]) ).
fof(f57987,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,X0) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,X0)) )
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f57986,f55981]) ).
fof(f58001,plain,
( k3_tex_4(sK1387,sK1389) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f57987,f22769]) ).
fof(f58002,plain,
( k3_tex_4(sK1387,sK1390) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f57987,f22768]) ).
fof(f58004,plain,
( k3_tex_4(sK1387,sF1393) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,sF1393))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f57987,f25045]) ).
fof(f58009,plain,
( k3_tex_4(sK1387,sF1393) = k5_pre_topc(sK1387,sK1388,sF1391,sF1394)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58004,f55992]) ).
fof(f58011,plain,
( k3_tex_4(sK1387,sK1390) = k5_pre_topc(sK1387,sK1388,sF1391,sF1397)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58002,f55991]) ).
fof(f58012,plain,
( k3_tex_4(sK1387,sK1389) = k5_pre_topc(sK1387,sK1388,sF1391,sF1396)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58001,f55990]) ).
fof(f58024,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f20443,f58011]) ).
fof(f58025,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f58024,f24978]) ).
fof(f58026,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f58025,f24962]) ).
fof(f58027,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f58026,f24995]) ).
fof(f58028,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58027,f22750]) ).
fof(f58029,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(sF1399))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58028,f22765]) ).
fof(f58030,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58029,f22767]) ).
fof(f58031,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(forward_subsumption_resolution,[],[f58030,f56741]) ).
fof(f58032,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(forward_demodulation,[],[f58031,f22756]) ).
fof(f58033,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(forward_demodulation,[],[f58032,f22750]) ).
fof(f58034,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(forward_subsumption_resolution,[],[f58033,f25003]) ).
fof(f58035,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(forward_demodulation,[],[f58034,f22756]) ).
fof(f58036,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(forward_demodulation,[],[f58035,f22750]) ).
fof(f58037,plain,
( $false
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(forward_subsumption_resolution,[],[f58036,f25007]) ).
fof(f58038,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(avatar_contradiction_clause,[],[f58037]) ).
fof(f58076,definition,
( spl1401_718
<=> v4_pre_topc(k3_tex_4(sK1387,sK1390),sK1387) ),
introduced(definition,[new_symbols(definition,[spl1401_718])],[avatar_definition]) ).
fof(f58077,plain,
( v4_pre_topc(k3_tex_4(sK1387,sK1390),sK1387)
| ~ spl1401_718 ),
inference(avatar_component_clause,[],[f58076]) ).
fof(f58078,plain,
( ~ v4_pre_topc(k3_tex_4(sK1387,sK1390),sK1387)
| spl1401_718 ),
inference(avatar_component_clause,[],[f58076]) ).
fof(f58087,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sF1397) = k5_subset_1(sF1392,sF1397,X0) )
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f25050]) ).
fof(f58088,plain,
( k5_subset_1(sF1392,sF1397,sK1390) = k5_subset_1(sF1392,sK1390,sF1397)
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f25051]) ).
fof(f58089,plain,
( k5_subset_1(sF1392,sF1397,sK1389) = k5_subset_1(sF1392,sK1389,sF1397)
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f25052]) ).
fof(f58091,plain,
( k5_subset_1(sF1392,sF1397,sF1395) = k5_subset_1(sF1392,sF1395,sF1397)
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f25122]) ).
fof(f58094,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k4_xboole_0(sF1397,k4_xboole_0(sF1397,X0)) = k5_subset_1(sF1392,sF1397,X0) )
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f25256]) ).
fof(f58095,plain,
( k5_subset_1(sF1392,sK1389,sF1397) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1397))
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f25259]) ).
fof(f58096,plain,
( k5_subset_1(sF1392,sK1390,sF1397) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1397))
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f25260]) ).
fof(f58098,plain,
( k5_subset_1(sF1392,sF1395,sF1397) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1397))
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f25262]) ).
fof(f58135,plain,
( k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1395)) = k5_subset_1(sF1392,sF1397,sF1395)
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f39977]) ).
fof(f58149,plain,
( k4_pre_topc(sK1387,sK1388,sF1391,sF1397) = k4_pre_topc(sK1387,sK1388,sF1391,k3_tex_4(sK1387,sF1397))
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f55816]) ).
fof(f58150,plain,
( k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sF1397)) = k9_relat_1(sF1391,sF1397)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f56494]) ).
fof(f58154,plain,
( k3_tex_4(sK1387,sF1397) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,sF1397))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679 ),
inference(resolution,[],[f56745,f57987]) ).
fof(f58157,plain,
( k4_pre_topc(sK1387,sK1388,sF1391,sF1397) = k9_relat_1(sF1391,k3_tex_4(sK1387,sF1397))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58149,f55981]) ).
fof(f58158,plain,
( k5_subset_1(sF1395,sF1397,sF1395) = k5_subset_1(sF1392,sF1397,sF1395)
| ~ spl1401_396
| ~ spl1401_409
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58135,f55752]) ).
fof(f58161,plain,
( k5_subset_1(sF1392,sF1395,sF1397) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1397))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58098,f36869]) ).
fof(f58163,plain,
( k5_subset_1(sF1392,sK1390,sF1397) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,sF1397))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58096,f34355]) ).
fof(f58164,plain,
( k5_subset_1(sF1392,sK1389,sF1397) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,sF1397))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58095,f34825]) ).
fof(f58167,plain,
( k9_relat_1(sF1391,sF1397) = k9_relat_1(sF1391,k3_tex_4(sK1387,sF1397))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58157,f55981]) ).
fof(f58168,plain,
( k5_subset_1(sF1395,sF1397,sF1395) = k5_subset_1(sF1392,sF1395,sF1397)
| ~ spl1401_396
| ~ spl1401_409
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58158,f58091]) ).
fof(f58169,plain,
( k5_subset_1(sF1392,sF1397,sK1390) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,sF1397))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58163,f58088]) ).
fof(f58170,plain,
( k5_subset_1(sF1392,sF1397,sK1389) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,sF1397))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58164,f58089]) ).
fof(f58172,plain,
( k5_subset_1(sF1395,sF1395,sF1397) = k5_subset_1(sF1392,sF1395,sF1397)
| ~ spl1401_396
| ~ spl1401_409
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58168,f55751]) ).
fof(f58173,plain,
( sF1397 = k5_subset_1(sF1392,sF1395,sF1397)
| ~ spl1401_391
| ~ spl1401_396
| ~ spl1401_409
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f58172,f55806]) ).
fof(f58197,plain,
( k5_subset_1(sF1392,sF1394,sF1395) = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_677 ),
inference(resolution,[],[f56734,f25122]) ).
fof(f58204,plain,
( k5_subset_1(sF1392,sF1395,sF1394) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394))
| ~ spl1401_677 ),
inference(resolution,[],[f56734,f25262]) ).
fof(f58241,plain,
( k4_xboole_0(sF1394,k4_xboole_0(sF1394,sF1395)) = k5_subset_1(sF1392,sF1394,sF1395)
| ~ spl1401_677 ),
inference(resolution,[],[f56734,f39977]) ).
fof(f58264,plain,
( k5_subset_1(sF1395,sF1394,sF1395) = k5_subset_1(sF1392,sF1394,sF1395)
| ~ spl1401_400
| ~ spl1401_409
| ~ spl1401_677 ),
inference(forward_demodulation,[],[f58241,f55592]) ).
fof(f58267,plain,
( k5_subset_1(sF1392,sF1395,sF1394) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1394))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_677 ),
inference(forward_demodulation,[],[f58204,f36869]) ).
fof(f58274,plain,
( k5_subset_1(sF1395,sF1394,sF1395) = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_400
| ~ spl1401_409
| ~ spl1401_677 ),
inference(forward_demodulation,[],[f58264,f58197]) ).
fof(f58276,plain,
( k5_subset_1(sF1395,sF1395,sF1394) = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_400
| ~ spl1401_409
| ~ spl1401_677 ),
inference(forward_demodulation,[],[f58274,f55591]) ).
fof(f58277,plain,
( sF1394 = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_391
| ~ spl1401_400
| ~ spl1401_409
| ~ spl1401_677 ),
inference(forward_demodulation,[],[f58276,f56689]) ).
fof(f58297,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f20443,f58009]) ).
fof(f58298,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f58297,f24978]) ).
fof(f58299,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f58298,f24962]) ).
fof(f58300,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f58299,f24995]) ).
fof(f58301,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58300,f22750]) ).
fof(f58302,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(sF1399))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58301,f22765]) ).
fof(f58303,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58302,f22767]) ).
fof(f59097,plain,
( ! [X0] : m1_subset_1(k4_xboole_0(sF1397,k4_xboole_0(sF1397,X0)),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f57377,f55991]) ).
fof(f59484,plain,
( k5_subset_1(sF1395,sF1396,sF1397) = k5_subset_1(sF1395,sF1397,sF1396)
| ~ spl1401_396
| ~ spl1401_399 ),
inference(resolution,[],[f55680,f25000]) ).
fof(f59742,definition,
( spl1401_754
<=> r1_tarski(k9_relat_1(sF1391,sF1397),sF1397) ),
introduced(definition,[new_symbols(definition,[spl1401_754])],[avatar_definition]) ).
fof(f59743,plain,
( ~ r1_tarski(k9_relat_1(sF1391,sF1397),sF1397)
| spl1401_754 ),
inference(avatar_component_clause,[],[f59742]) ).
fof(f60537,plain,
( k5_subset_1(sF1395,sF1395,sF1396) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1396))
| ~ spl1401_399
| ~ spl1401_409 ),
inference(resolution,[],[f55682,f25243]) ).
fof(f60539,plain,
( k5_subset_1(sF1395,sF1397,sF1396) = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1396))
| ~ spl1401_396
| ~ spl1401_399 ),
inference(resolution,[],[f55682,f25000]) ).
fof(f60544,plain,
( k5_subset_1(sF1395,sF1395,sF1396) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1396))
| ~ spl1401_393
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f60537,f36869]) ).
fof(f60585,plain,
( r1_tarski(sF1397,k9_relat_1(sF1391,sF1397))
| ~ r1_tarski(sK1390,k3_tex_4(sK1387,sF1397))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679 ),
inference(superposition,[],[f56704,f58167]) ).
fof(f60593,definition,
( spl1401_770
<=> r1_tarski(sK1390,k3_tex_4(sK1387,sF1397)) ),
introduced(definition,[new_symbols(definition,[spl1401_770])],[avatar_definition]) ).
fof(f60595,plain,
( ~ r1_tarski(sK1390,k3_tex_4(sK1387,sF1397))
| spl1401_770 ),
inference(avatar_component_clause,[],[f60593]) ).
fof(f60597,definition,
( spl1401_771
<=> r1_tarski(sF1397,k9_relat_1(sF1391,sF1397)) ),
introduced(definition,[new_symbols(definition,[spl1401_771])],[avatar_definition]) ).
fof(f60599,plain,
( r1_tarski(sF1397,k9_relat_1(sF1391,sF1397))
| ~ spl1401_771 ),
inference(avatar_component_clause,[],[f60597]) ).
fof(f60600,plain,
( ~ spl1401_770
| spl1401_771
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679 ),
inference(avatar_split_clause,[],[f60585,f56743,f25006,f25002,f24994,f24977,f24961,f60597,f60593]) ).
fof(f61741,plain,
( k5_subset_1(sF1392,sF1397,sK1390) = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sK1390))
| ~ spl1401_679 ),
inference(resolution,[],[f58094,f22768]) ).
fof(f62160,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,k3_tex_4(sK1387,sK1390)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1390),X0) )
| ~ spl1401_678 ),
inference(resolution,[],[f56740,f25050]) ).
fof(f62168,plain,
( k5_subset_1(sF1392,sK1389,k3_tex_4(sK1387,sK1390)) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_678 ),
inference(resolution,[],[f56740,f25259]) ).
fof(f62171,plain,
( k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1390)) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_678 ),
inference(resolution,[],[f56740,f25262]) ).
fof(f62255,plain,
( k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1390)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_678 ),
inference(forward_demodulation,[],[f62171,f36869]) ).
fof(f62258,plain,
( k5_subset_1(sF1392,sK1389,k3_tex_4(sK1387,sK1390)) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_678 ),
inference(forward_demodulation,[],[f62168,f34825]) ).
fof(f62268,plain,
( sF1397 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(forward_demodulation,[],[f62255,f56515]) ).
fof(f63489,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(forward_subsumption_resolution,[],[f58303,f56730]) ).
fof(f63555,plain,
( sF1396 = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f56508,f55990]) ).
fof(f63558,plain,
( sF1398 = k5_subset_1(sF1395,sF1397,sF1396)
| ~ spl1401_396
| ~ spl1401_399 ),
inference(forward_demodulation,[],[f59484,f22762]) ).
fof(f63564,plain,
( sF1396 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1396))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f60544,f55726]) ).
fof(f63574,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(forward_demodulation,[],[f63489,f22756]) ).
fof(f63614,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(forward_demodulation,[],[f63574,f22750]) ).
fof(f63635,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(forward_subsumption_resolution,[],[f63614,f25003]) ).
fof(f63646,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(forward_demodulation,[],[f63635,f22756]) ).
fof(f63653,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(forward_demodulation,[],[f63646,f22750]) ).
fof(f63658,plain,
( $false
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(forward_subsumption_resolution,[],[f63653,f25007]) ).
fof(f63659,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(avatar_contradiction_clause,[],[f63658]) ).
fof(f63669,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1319(sK1388,sK1390)
| ~ m1_subset_1(sK1390,sF1400)
| ~ spl1401_1 ),
inference(resolution,[],[f22808,f25846]) ).
fof(f63670,plain,
( ~ m1_subset_1(sK1390,sF1400)
| sK1390 = k3_tex_4(sK1387,sK1390)
| ~ spl1401_1 ),
inference(resolution,[],[f22808,f55329]) ).
fof(f63675,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1376(sK1388,sK1390)
| ~ m1_subset_1(sK1390,sF1400)
| ~ spl1401_1 ),
inference(resolution,[],[f22808,f55927]) ).
fof(f63678,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1376(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_subsumption_resolution,[],[f63675,f22768]) ).
fof(f63683,plain,
( sK1390 = k3_tex_4(sK1387,sK1390)
| ~ spl1401_1 ),
inference(forward_subsumption_resolution,[],[f63670,f22768]) ).
fof(f63684,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1319(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_subsumption_resolution,[],[f63669,f22768]) ).
fof(f63687,plain,
( k5_subset_1(sF1392,sF1395,sK1390) = sK1376(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_demodulation,[],[f63678,f25269]) ).
fof(f63689,plain,
( k5_subset_1(sF1392,sF1395,sK1390) = sK1319(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_demodulation,[],[f63684,f25269]) ).
fof(f63691,plain,
( sK1319(sK1388,sK1390) = sK1376(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_demodulation,[],[f63689,f63687]) ).
fof(f63697,plain,
( sF1397 = k5_subset_1(sF1392,sF1395,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f56515,f63683]) ).
fof(f63700,plain,
( ~ v4_pre_topc(sK1390,sK1387)
| ~ spl1401_1
| spl1401_718 ),
inference(superposition,[],[f58078,f63683]) ).
fof(f63713,plain,
( $false
| ~ spl1401_1
| spl1401_718 ),
inference(forward_subsumption_resolution,[],[f63700,f22808]) ).
fof(f63714,plain,
( ~ spl1401_1
| spl1401_718 ),
inference(avatar_contradiction_clause,[],[f63713]) ).
fof(f63715,plain,
( sF1397 = sK1376(sK1388,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63697,f63687]) ).
fof(f63717,plain,
( sF1397 = sK1319(sK1388,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63715,f63691]) ).
fof(f63769,plain,
( k1_xboole_0 = k4_xboole_0(sK1376(sK1388,sK1390),sK1390)
| ~ spl1401_1
| ~ spl1401_393
| ~ spl1401_405 ),
inference(superposition,[],[f40676,f63687]) ).
fof(f63779,plain,
( k1_xboole_0 = k4_xboole_0(sK1319(sK1388,sK1390),sK1390)
| ~ spl1401_1
| ~ spl1401_393
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f63769,f63691]) ).
fof(f63794,plain,
( k1_xboole_0 = k4_xboole_0(sF1397,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f63779,f63717]) ).
fof(f63906,plain,
( m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f19609,f63555]) ).
fof(f63907,plain,
( m1_subset_1(sF1396,u1_pre_topc(sF1399))
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63906,f22765]) ).
fof(f63910,plain,
( m1_subset_1(sF1396,sF1400)
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63907,f22767]) ).
fof(f63913,definition,
( spl1401_861
<=> m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_861])],[avatar_definition]) ).
fof(f63914,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ spl1401_861 ),
inference(avatar_component_clause,[],[f63913]) ).
fof(f63915,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| spl1401_861 ),
inference(avatar_component_clause,[],[f63913]) ).
fof(f63917,definition,
( spl1401_862
<=> m1_subset_1(sF1396,sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_862])],[avatar_definition]) ).
fof(f63919,plain,
( m1_subset_1(sF1396,sF1400)
| ~ spl1401_862 ),
inference(avatar_component_clause,[],[f63917]) ).
fof(f63921,plain,
( ~ m1_subset_1(sF1395,u1_pre_topc(sF1399))
| m1_subset_1(sF1396,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63910,f22765]) ).
fof(f63923,plain,
( ~ m1_subset_1(sF1395,sF1400)
| m1_subset_1(sF1396,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63921,f22767]) ).
fof(f63925,plain,
( m1_subset_1(sF1396,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f63923,f25110]) ).
fof(f63927,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(sF1399))
| m1_subset_1(sF1396,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63925,f22765]) ).
fof(f63932,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| m1_subset_1(sF1396,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63927,f22767]) ).
fof(f63933,plain,
( spl1401_862
| ~ spl1401_861
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(avatar_split_clause,[],[f63932,f25006,f25002,f24994,f24977,f24961,f63913,f63917]) ).
fof(f63939,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f20443,f58012]) ).
fof(f63940,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ l1_struct_0(sK1388)
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f63939,f24978]) ).
fof(f63941,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ v1_funct_1(sF1391)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f63940,f24962]) ).
fof(f63942,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387))))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_subsumption_resolution,[],[f63941,f24995]) ).
fof(f63943,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63942,f22750]) ).
fof(f63944,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),u1_pre_topc(sF1399))
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63943,f22765]) ).
fof(f63945,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f63944,f22767]) ).
fof(f63946,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(forward_subsumption_resolution,[],[f63945,f63915]) ).
fof(f63947,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(forward_demodulation,[],[f63946,f22756]) ).
fof(f63948,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(forward_demodulation,[],[f63947,f22750]) ).
fof(f63949,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(forward_subsumption_resolution,[],[f63948,f25003]) ).
fof(f63950,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(forward_demodulation,[],[f63949,f22756]) ).
fof(f63951,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(forward_demodulation,[],[f63950,f22750]) ).
fof(f63952,plain,
( $false
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(forward_subsumption_resolution,[],[f63951,f25007]) ).
fof(f63953,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(avatar_contradiction_clause,[],[f63952]) ).
fof(f63955,plain,
( k5_subset_1(sF1392,sF1396,sK1390) = k5_subset_1(sF1392,sK1390,sF1396)
| ~ spl1401_862 ),
inference(resolution,[],[f63919,f25051]) ).
fof(f63961,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k4_xboole_0(sF1396,k4_xboole_0(sF1396,X0)) = k5_subset_1(sF1392,sF1396,X0) )
| ~ spl1401_862 ),
inference(resolution,[],[f63919,f25256]) ).
fof(f63963,plain,
( k5_subset_1(sF1392,sK1390,sF1396) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1396))
| ~ spl1401_862 ),
inference(resolution,[],[f63919,f25260]) ).
fof(f64022,plain,
( k5_subset_1(sF1392,sF1397,sF1396) = k5_subset_1(sF1392,sF1396,sF1397)
| ~ spl1401_679
| ~ spl1401_862 ),
inference(resolution,[],[f63919,f58087]) ).
fof(f64023,plain,
( k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1396)) = k5_subset_1(sF1392,sF1397,sF1396)
| ~ spl1401_679
| ~ spl1401_862 ),
inference(resolution,[],[f63919,f58094]) ).
fof(f64027,plain,
( k5_subset_1(sF1395,sF1397,sF1396) = k5_subset_1(sF1392,sF1397,sF1396)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64023,f60539]) ).
fof(f64034,plain,
( k5_subset_1(sF1392,sK1390,sF1396) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,sF1396))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f63963,f34355]) ).
fof(f64038,plain,
( k5_subset_1(sF1395,sF1397,sF1396) = k5_subset_1(sF1392,sF1396,sF1397)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64027,f64022]) ).
fof(f64042,plain,
( k5_subset_1(sF1392,sF1396,sK1390) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,sF1396))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64034,f63955]) ).
fof(f64045,plain,
( sF1398 = k5_subset_1(sF1392,sF1396,sF1397)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64038,f63558]) ).
fof(f64049,plain,
( m1_subset_1(sF1398,sF1400)
| ~ m1_subset_1(sF1396,sF1400)
| ~ m1_subset_1(sF1397,sF1400)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(superposition,[],[f25039,f64045]) ).
fof(f64054,plain,
( m1_subset_1(sF1398,sF1400)
| ~ m1_subset_1(sF1397,sF1400)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_subsumption_resolution,[],[f64049,f63919]) ).
fof(f64057,plain,
( m1_subset_1(sF1398,sF1400)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_subsumption_resolution,[],[f64054,f56745]) ).
fof(f64236,plain,
( v4_pre_topc(k6_pre_topc(sK1387,sK1389),sK1387)
| ~ m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400) ),
inference(superposition,[],[f55314,f56453]) ).
fof(f64239,plain,
( m1_subset_1(k6_pre_topc(sK1387,sK1389),sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400) ),
inference(superposition,[],[f26082,f56453]) ).
fof(f64242,plain,
( m1_subset_1(k6_pre_topc(sK1387,sK1389),sF1400)
| ~ spl1401_861 ),
inference(forward_subsumption_resolution,[],[f64239,f63914]) ).
fof(f64245,plain,
( v4_pre_topc(k6_pre_topc(sK1387,sK1389),sK1387)
| ~ spl1401_861 ),
inference(forward_subsumption_resolution,[],[f64236,f63914]) ).
fof(f64267,plain,
( ! [X0] : k4_xboole_0(sF1397,k4_xboole_0(X0,sK1390)) = k3_tarski(k2_tarski(k4_xboole_0(sF1397,X0),k4_xboole_0(sF1397,k1_xboole_0)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405 ),
inference(superposition,[],[f24724,f63794]) ).
fof(f64293,plain,
( ! [X0] : k4_xboole_0(sF1397,k4_xboole_0(X0,sK1390)) = k4_xboole_0(sF1397,k4_xboole_0(X0,k4_xboole_0(sF1397,k1_xboole_0)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f64267,f29505]) ).
fof(f64304,plain,
( ! [X0] : k4_xboole_0(sF1397,k4_xboole_0(X0,sK1390)) = k4_xboole_0(sF1397,k4_xboole_0(X0,sF1397))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f64293,f11297]) ).
fof(f64311,plain,
( ! [X0] : sF1397 = k4_xboole_0(sF1397,k4_xboole_0(X0,sK1390))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f64304,f41149]) ).
fof(f64563,plain,
( sF1397 = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sK1390))
| ~ spl1401_709 ),
inference(resolution,[],[f57935,f19348]) ).
fof(f64660,plain,
( ~ m1_subset_1(k6_pre_topc(sK1387,sK1389),sF1400)
| k6_pre_topc(sK1387,sK1389) = k3_tex_4(sK1387,k6_pre_topc(sK1387,sK1389))
| ~ spl1401_861 ),
inference(resolution,[],[f64245,f55329]) ).
fof(f64675,plain,
( k6_pre_topc(sK1387,sK1389) = k3_tex_4(sK1387,k6_pre_topc(sK1387,sK1389))
| ~ spl1401_861 ),
inference(forward_subsumption_resolution,[],[f64660,f64242]) ).
fof(f64797,definition,
( spl1401_892
<=> r1_tarski(k5_subset_1(sF1392,sF1397,sK1390),sK1390) ),
introduced(definition,[new_symbols(definition,[spl1401_892])],[avatar_definition]) ).
fof(f64799,plain,
( r1_tarski(k5_subset_1(sF1392,sF1397,sK1390),sK1390)
| ~ spl1401_892 ),
inference(avatar_component_clause,[],[f64797]) ).
fof(f64822,plain,
( k5_subset_1(sF1392,sF1398,sF1395) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(resolution,[],[f64057,f25122]) ).
fof(f64829,plain,
( k5_subset_1(sF1392,sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1398))
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(resolution,[],[f64057,f25262]) ).
fof(f64861,plain,
( k3_tarski(k2_tarski(sK1389,sF1398)) = k4_subset_1(sF1392,sK1389,sF1398)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(resolution,[],[f64057,f38489]) ).
fof(f64866,plain,
( k4_xboole_0(sF1398,k4_xboole_0(sF1398,sF1395)) = k5_subset_1(sF1392,sF1398,sF1395)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862 ),
inference(resolution,[],[f64057,f39977]) ).
fof(f64896,plain,
( k5_subset_1(sF1395,sF1398,sF1395) = k5_subset_1(sF1392,sF1398,sF1395)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64866,f55870]) ).
fof(f64899,plain,
( k5_subset_1(sF1392,sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_393
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64829,f36869]) ).
fof(f64907,plain,
( k5_subset_1(sF1395,sF1398,sF1395) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64896,f64822]) ).
fof(f64909,plain,
( k5_subset_1(sF1395,sF1395,sF1398) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64907,f55869]) ).
fof(f64910,plain,
( sF1398 = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_391
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f64909,f55924]) ).
fof(f64976,plain,
( k5_subset_1(sF1392,sF1396,sK1390) = k4_xboole_0(sF1396,k4_xboole_0(sF1396,sK1390))
| ~ spl1401_862 ),
inference(resolution,[],[f63961,f22768]) ).
fof(f65087,plain,
( k5_subset_1(sF1392,k3_tex_4(sK1387,sK1389),sK1390) = k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,sK1389))
| ~ spl1401_861 ),
inference(resolution,[],[f63914,f25051]) ).
fof(f65095,plain,
( k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,sK1389)) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_861 ),
inference(resolution,[],[f63914,f25260]) ).
fof(f65097,plain,
( k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1389)) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_861 ),
inference(resolution,[],[f63914,f25262]) ).
fof(f65184,plain,
( k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1389)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f65097,f36869]) ).
fof(f65186,plain,
( k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,sK1389)) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f65095,f34355]) ).
fof(f65200,plain,
( sF1396 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f65184,f63555]) ).
fof(f67746,plain,
( k5_subset_1(sF1392,k3_tex_4(sK1387,sK1389),k3_tex_4(sK1387,sK1390)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1390),k3_tex_4(sK1387,sK1389))
| ~ spl1401_678
| ~ spl1401_861 ),
inference(resolution,[],[f62160,f63914]) ).
fof(f68106,plain,
( ! [X0] : k4_xboole_0(k4_xboole_0(sF1396,X0),k4_xboole_0(sF1396,sK1390)) = k4_xboole_0(k5_subset_1(sF1392,sF1396,sK1390),X0)
| ~ spl1401_862 ),
inference(superposition,[],[f27088,f64976]) ).
fof(f68120,plain,
( ! [X0] : k4_xboole_0(k5_subset_1(sF1392,sF1396,sK1390),X0) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,k4_xboole_0(sF1396,X0)))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f68106,f46680]) ).
fof(f68771,plain,
( m1_subset_1(k5_subset_1(sF1392,sF1397,sK1390),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679 ),
inference(superposition,[],[f59097,f61741]) ).
fof(f68772,plain,
( sF1397 = k5_subset_1(sF1392,sF1397,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679 ),
inference(superposition,[],[f64311,f61741]) ).
fof(f68781,plain,
( r1_tarski(k5_subset_1(sF1392,sF1397,sK1390),sK1390)
| ~ spl1401_679 ),
inference(superposition,[],[f25392,f61741]) ).
fof(f68832,plain,
( spl1401_892
| ~ spl1401_679 ),
inference(avatar_split_clause,[],[f68781,f56743,f64797]) ).
fof(f68890,plain,
( r1_tarski(sF1397,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_892 ),
inference(forward_demodulation,[],[f64799,f68772]) ).
fof(f71364,plain,
( ! [X0] : k3_tarski(k2_tarski(k4_xboole_0(sF1395,X0),k4_xboole_0(sF1395,sF1396))) = k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389))))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f24724,f65200]) ).
fof(f71382,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1395,sF1396))) = k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389))))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f71364,f29505]) ).
fof(f71391,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,sF1396))) = k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389))))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f71382,f47882]) ).
fof(f71551,plain,
( k5_subset_1(sF1392,sF1395,k6_pre_topc(sK1387,sK1389)) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,k6_pre_topc(sK1387,sK1389)))
| ~ spl1401_861 ),
inference(resolution,[],[f64242,f25262]) ).
fof(f71604,plain,
( k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389)) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,k6_pre_topc(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_861 ),
inference(resolution,[],[f64242,f56494]) ).
fof(f71635,plain,
( k5_subset_1(sF1392,sF1395,k6_pre_topc(sK1387,sK1389)) = k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f71604,f64675]) ).
fof(f71647,plain,
( k5_subset_1(sF1392,sF1395,k6_pre_topc(sK1387,sK1389)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k6_pre_topc(sK1387,sK1389)))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f71551,f36869]) ).
fof(f71659,plain,
( k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k6_pre_topc(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f71647,f71635]) ).
fof(f72762,plain,
( k4_xboole_0(sF1395,sF1397) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390))))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(superposition,[],[f36869,f62268]) ).
fof(f72772,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))) = k3_tarski(k2_tarski(k4_xboole_0(sF1395,X0),k4_xboole_0(sF1395,sF1397)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(superposition,[],[f24724,f62268]) ).
fof(f72800,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))) = k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1395,sF1397)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(forward_demodulation,[],[f72772,f29505]) ).
fof(f72808,plain,
( k4_xboole_0(sF1395,sF1397) = k4_xboole_0(sF1395,k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(forward_demodulation,[],[f72762,f47937]) ).
fof(f72814,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))) = k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(forward_demodulation,[],[f72800,f47882]) ).
fof(f73790,plain,
( ! [X0] : k4_xboole_0(k5_subset_1(sF1392,sF1397,sK1390),k4_xboole_0(k5_subset_1(sF1392,sF1397,sK1390),X0)) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,k4_xboole_0(X0,k4_xboole_0(sF1392,sF1397))))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_679 ),
inference(superposition,[],[f26986,f58169]) ).
fof(f73813,plain,
( ! [X0] : k4_xboole_0(k5_subset_1(sF1392,sF1397,sK1390),k4_xboole_0(k5_subset_1(sF1392,sF1397,sK1390),X0)) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,k4_xboole_0(X0,k4_xboole_0(sF1392,sF1397))))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f73790,f34355]) ).
fof(f75239,plain,
( sF1397 = k5_subset_1(sF1392,sF1397,sK1390)
| ~ spl1401_679
| ~ spl1401_709 ),
inference(forward_demodulation,[],[f64563,f61741]) ).
fof(f75564,plain,
( ~ m1_subset_1(sK1389,sF1400)
| sK1389 = k6_pre_topc(sK1387,sK1389)
| ~ spl1401_2 ),
inference(resolution,[],[f22812,f25705]) ).
fof(f75566,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1319(sK1388,sK1389)
| ~ m1_subset_1(sK1389,sF1400)
| ~ spl1401_2 ),
inference(resolution,[],[f22812,f25846]) ).
fof(f75567,plain,
( ~ m1_subset_1(sK1389,sF1400)
| sK1389 = k3_tex_4(sK1387,sK1389)
| ~ spl1401_2 ),
inference(resolution,[],[f22812,f55329]) ).
fof(f75569,plain,
( ! [X0] :
( ~ m1_subset_1(sK1389,sF1400)
| ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X0,sK1389)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X0),k3_tex_4(sK1387,sK1389)) )
| ~ spl1401_2 ),
inference(resolution,[],[f22812,f55382]) ).
fof(f75571,plain,
( ~ m1_subset_1(sK1389,sF1400)
| sK1389 = k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,sK1389))
| ~ spl1401_2 ),
inference(resolution,[],[f22812,f55434]) ).
fof(f75573,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1376(sK1388,sK1389)
| ~ m1_subset_1(sK1389,sF1400)
| ~ spl1401_2 ),
inference(resolution,[],[f22812,f55927]) ).
fof(f75580,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1376(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f75573,f22769]) ).
fof(f75582,plain,
( sK1389 = k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,sK1389))
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f75571,f22769]) ).
fof(f75584,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X0,sK1389)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X0),k3_tex_4(sK1387,sK1389)) )
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f75569,f22769]) ).
fof(f75586,plain,
( sK1389 = k3_tex_4(sK1387,sK1389)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f75567,f22769]) ).
fof(f75587,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1319(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f75566,f22769]) ).
fof(f75589,plain,
( sK1389 = k6_pre_topc(sK1387,sK1389)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f75564,f22769]) ).
fof(f75590,plain,
( k5_subset_1(sF1392,sF1395,sK1389) = sK1376(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f75580,f25279]) ).
fof(f75592,plain,
( k5_subset_1(sF1392,sF1395,sK1389) = sK1319(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f75587,f25279]) ).
fof(f75593,plain,
( sK1319(sK1388,sK1389) = sK1376(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f75592,f75590]) ).
fof(f75604,plain,
( sF1396 = k5_subset_1(sF1392,sF1395,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f63555,f75586]) ).
fof(f75645,plain,
( sF1396 = sK1376(sK1388,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f75604,f75590]) ).
fof(f75649,plain,
( sF1396 = sK1319(sK1388,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f75645,f75593]) ).
fof(f75716,plain,
( k4_xboole_0(sF1395,sK1389) = k4_xboole_0(sF1395,sK1376(sK1388,sK1389))
| ~ spl1401_2 ),
inference(superposition,[],[f44806,f75590]) ).
fof(f75730,plain,
( k4_xboole_0(sF1395,sK1389) = k4_xboole_0(sF1395,sK1319(sK1388,sK1389))
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f75716,f75593]) ).
fof(f75741,plain,
( k4_xboole_0(sF1395,sK1389) = k4_xboole_0(sF1395,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f75730,f75649]) ).
fof(f75783,plain,
( sK1389 = k3_tex_4(sK1387,sK1376(sK1388,sK1389))
| ~ spl1401_2 ),
inference(superposition,[],[f75582,f75590]) ).
fof(f75790,plain,
( sK1389 = k3_tex_4(sK1387,sK1319(sK1388,sK1389))
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f75783,f75593]) ).
fof(f75792,plain,
( sK1389 = k3_tex_4(sK1387,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f75790,f75649]) ).
fof(f75821,plain,
( k3_tex_4(sK1387,k5_subset_1(sF1392,sK1390,sK1389)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1390),k3_tex_4(sK1387,sK1389))
| ~ spl1401_2 ),
inference(resolution,[],[f75584,f22768]) ).
fof(f75836,plain,
( k3_tex_4(sK1387,k5_subset_1(sF1392,sK1390,sK1389)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1389),k3_tex_4(sK1387,sK1390))
| ~ spl1401_2
| ~ spl1401_678
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f75821,f67746]) ).
fof(f75863,plain,
( k3_tex_4(sK1387,k5_subset_1(sF1392,sK1390,sK1389)) = k5_subset_1(sF1392,sK1389,k3_tex_4(sK1387,sK1390))
| ~ spl1401_2
| ~ spl1401_678
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f75836,f75586]) ).
fof(f75874,plain,
( k3_tex_4(sK1387,sF1393) = k5_subset_1(sF1392,sK1389,k3_tex_4(sK1387,sK1390))
| ~ spl1401_2
| ~ spl1401_678
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f75863,f25057]) ).
fof(f75992,plain,
( ! [X0] :
( r1_tarski(X0,sK1389)
| ~ r1_tarski(X0,sF1396)
| ~ m1_subset_1(sF1396,sF1400) )
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f38695,f75792]) ).
fof(f75998,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF1396)
| r1_tarski(X0,sK1389) )
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_862 ),
inference(forward_subsumption_resolution,[],[f75992,f63919]) ).
fof(f76043,plain,
( k1_xboole_0 = k4_xboole_0(sF1396,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f56526,f11344]) ).
fof(f76055,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400)
| k3_tex_4(sK1387,sK1390) = k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_718 ),
inference(resolution,[],[f58077,f55434]) ).
fof(f76068,plain,
( k3_tex_4(sK1387,sK1390) = k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_678
| ~ spl1401_718 ),
inference(forward_subsumption_resolution,[],[f76055,f56740]) ).
fof(f76077,plain,
( k3_tex_4(sK1387,sK1390) = k3_tex_4(sK1387,sF1397)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_678
| ~ spl1401_718 ),
inference(forward_demodulation,[],[f76068,f56515]) ).
fof(f76316,plain,
( k4_xboole_0(sK1389,sF1395) = k4_xboole_0(sK1389,k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1396)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f26946,f75741]) ).
fof(f76321,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sK1389,X0)) = k3_tarski(k2_tarski(k4_xboole_0(sF1395,sF1396),k4_xboole_0(X0,k4_xboole_0(X0,sF1395))))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f29404,f75741]) ).
fof(f76332,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sK1389,X0)) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f76321,f29404]) ).
fof(f76335,plain,
( k4_xboole_0(sK1389,sF1395) = k4_xboole_0(sK1389,k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1396)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f76316,f36869]) ).
fof(f76349,plain,
( k4_xboole_0(sK1389,sF1395) = k4_xboole_0(sK1389,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f76335,f63564]) ).
fof(f76468,plain,
( r1_tarski(sK1390,k3_tex_4(sK1387,sF1397))
| ~ m1_subset_1(sK1390,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_678
| ~ spl1401_718 ),
inference(superposition,[],[f38694,f76077]) ).
fof(f76472,plain,
( ~ m1_subset_1(sK1390,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_678
| ~ spl1401_718
| spl1401_770 ),
inference(forward_subsumption_resolution,[],[f76468,f60595]) ).
fof(f76498,plain,
( $false
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_678
| ~ spl1401_718
| spl1401_770 ),
inference(forward_subsumption_resolution,[],[f76472,f22768]) ).
fof(f76499,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_678
| ~ spl1401_718
| spl1401_770 ),
inference(avatar_contradiction_clause,[],[f76498]) ).
fof(f77060,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sK1389,X0)) = k3_tarski(k2_tarski(k1_xboole_0,k4_xboole_0(sF1396,k4_xboole_0(sF1396,X0))))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(superposition,[],[f24724,f76043]) ).
fof(f77088,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sK1389,X0)) = k5_xboole_0(k1_xboole_0,k4_xboole_0(sF1396,k4_xboole_0(sF1396,X0)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f77060,f26648]) ).
fof(f77101,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1396,X0)) = k4_xboole_0(sF1396,k4_xboole_0(sK1389,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f77088,f29566]) ).
fof(f77264,plain,
( k5_subset_1(sF1395,k5_subset_1(sF1392,sF1397,sK1390),sF1396) = k4_xboole_0(k5_subset_1(sF1392,sF1397,sK1390),k4_xboole_0(k5_subset_1(sF1392,sF1397,sK1390),sF1396))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_679 ),
inference(resolution,[],[f68771,f55682]) ).
fof(f77314,plain,
( k5_subset_1(sF1395,k5_subset_1(sF1392,sF1397,sK1390),sF1396) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397))))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f77264,f73813]) ).
fof(f77346,plain,
( k5_subset_1(sF1395,k5_subset_1(sF1392,sF1397,sK1390),sF1396) = k4_xboole_0(k5_subset_1(sF1392,sF1396,sK1390),k4_xboole_0(sF1392,sF1397))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f77314,f68120]) ).
fof(f77358,plain,
( k5_subset_1(sF1395,sF1397,sF1396) = k4_xboole_0(k5_subset_1(sF1392,sF1396,sK1390),k4_xboole_0(sF1392,sF1397))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_709
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f77346,f75239]) ).
fof(f77368,plain,
( sF1398 = k4_xboole_0(k5_subset_1(sF1392,sF1396,sK1390),k4_xboole_0(sF1392,sF1397))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_709
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f77358,f63558]) ).
fof(f77372,plain,
( r1_tarski(sF1398,k5_subset_1(sF1392,sF1396,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_709
| ~ spl1401_862 ),
inference(superposition,[],[f11342,f77368]) ).
fof(f77561,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sK1389,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(superposition,[],[f76332,f62258]) ).
fof(f77569,plain,
( k4_xboole_0(sF1395,k5_subset_1(sF1392,sF1397,sK1389)) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679 ),
inference(superposition,[],[f76332,f58170]) ).
fof(f77655,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))) = k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f77561,f75874]) ).
fof(f78632,plain,
( ~ r1_tarski(k5_subset_1(sF1392,sF1396,sK1390),sF1398)
| sF1398 = k5_subset_1(sF1392,sF1396,sK1390)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_709
| ~ spl1401_862 ),
inference(resolution,[],[f77372,f11256]) ).
fof(f78634,definition,
( spl1401_1001
<=> sF1398 = k5_subset_1(sF1392,sF1396,sK1390) ),
introduced(definition,[new_symbols(definition,[spl1401_1001])],[avatar_definition]) ).
fof(f78636,plain,
( sF1398 = k5_subset_1(sF1392,sF1396,sK1390)
| ~ spl1401_1001 ),
inference(avatar_component_clause,[],[f78634]) ).
fof(f78638,definition,
( spl1401_1002
<=> r1_tarski(k5_subset_1(sF1392,sF1396,sK1390),sF1398) ),
introduced(definition,[new_symbols(definition,[spl1401_1002])],[avatar_definition]) ).
fof(f78640,plain,
( ~ r1_tarski(k5_subset_1(sF1392,sF1396,sK1390),sF1398)
| spl1401_1002 ),
inference(avatar_component_clause,[],[f78638]) ).
fof(f78641,plain,
( spl1401_1001
| ~ spl1401_1002
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_709
| ~ spl1401_862 ),
inference(avatar_split_clause,[],[f78632,f63917,f57934,f56743,f25116,f25011,f25006,f25002,f24998,f24994,f24977,f24961,f78638,f78634]) ).
fof(f78714,definition,
( spl1401_1006
<=> r1_tarski(sF1398,sK1389) ),
introduced(definition,[new_symbols(definition,[spl1401_1006])],[avatar_definition]) ).
fof(f78715,plain,
( r1_tarski(sF1398,sK1389)
| ~ spl1401_1006 ),
inference(avatar_component_clause,[],[f78714]) ).
fof(f78716,plain,
( ~ r1_tarski(sF1398,sK1389)
| spl1401_1006 ),
inference(avatar_component_clause,[],[f78714]) ).
fof(f79199,plain,
( ! [X0] : k3_tarski(k2_tarski(k4_xboole_0(sK1389,sF1395),k4_xboole_0(X0,k4_xboole_0(X0,sK1389)))) = k4_xboole_0(sK1389,k4_xboole_0(sF1396,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409 ),
inference(superposition,[],[f29404,f76349]) ).
fof(f79211,plain,
( ! [X0] : k4_xboole_0(sK1389,k4_xboole_0(sF1395,X0)) = k4_xboole_0(sK1389,k4_xboole_0(sF1396,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f79199,f29404]) ).
fof(f82207,plain,
( r1_tarski(sF1398,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_862 ),
inference(resolution,[],[f75998,f57822]) ).
fof(f82208,plain,
( $false
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_862
| spl1401_1006 ),
inference(forward_subsumption_resolution,[],[f82207,f78716]) ).
fof(f82209,plain,
( ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_862
| spl1401_1006 ),
inference(avatar_contradiction_clause,[],[f82208]) ).
fof(f82316,plain,
( k1_xboole_0 = k4_xboole_0(sF1398,sK1389)
| ~ spl1401_1006 ),
inference(resolution,[],[f78715,f11344]) ).
fof(f83194,plain,
( ! [X0] : k4_xboole_0(k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389)),k4_xboole_0(k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389)),X0)) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,k4_xboole_0(X0,k4_xboole_0(sF1392,k6_pre_topc(sK1387,sK1389)))))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f26986,f71659]) ).
fof(f83196,plain,
( ! [X0] : k4_xboole_0(k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389)),X0) = k4_xboole_0(k4_xboole_0(sF1395,X0),k4_xboole_0(sF1392,k6_pre_topc(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f27088,f71659]) ).
fof(f83202,plain,
( k4_xboole_0(sF1392,k6_pre_topc(sK1387,sK1389)) = k4_xboole_0(k4_xboole_0(sF1392,k6_pre_topc(sK1387,sK1389)),k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f41149,f71659]) ).
fof(f83209,plain,
( k4_xboole_0(sF1392,sK1389) = k4_xboole_0(k4_xboole_0(sF1392,sK1389),k9_relat_1(sF1391,sK1389))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83202,f75589]) ).
fof(f83215,plain,
( ! [X0] : k4_xboole_0(k4_xboole_0(sF1395,X0),k4_xboole_0(sF1392,sK1389)) = k4_xboole_0(k9_relat_1(sF1391,sK1389),X0)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83196,f75589]) ).
fof(f83217,plain,
( ! [X0] : k4_xboole_0(k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389)),k4_xboole_0(k9_relat_1(sF1391,k6_pre_topc(sK1387,sK1389)),X0)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(X0,k4_xboole_0(sF1392,k6_pre_topc(sK1387,sK1389)))))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83194,f36869]) ).
fof(f83233,plain,
( k4_xboole_0(sF1392,sK1389) = k4_xboole_0(k4_xboole_0(sF1392,sK1389),sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83209,f55990]) ).
fof(f83239,plain,
( ! [X0] : k4_xboole_0(k4_xboole_0(sF1395,X0),k4_xboole_0(sF1392,sK1389)) = k4_xboole_0(sF1396,X0)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83215,f55990]) ).
fof(f83241,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389)))) = k4_xboole_0(k9_relat_1(sF1391,sK1389),k4_xboole_0(k9_relat_1(sF1391,sK1389),X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83217,f75589]) ).
fof(f83257,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389)))) = k4_xboole_0(sF1396,k4_xboole_0(sF1396,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83241,f55990]) ).
fof(f83277,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0)) = k4_xboole_0(k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0)),k4_xboole_0(sF1392,sK1389))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f83239,f36869]) ).
fof(f83290,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0)) = k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X0,sF1395)),k4_xboole_0(sF1392,sK1389))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f83239,f19316]) ).
fof(f83378,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0)) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(sF1395,k4_xboole_0(sF1392,sK1389))))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83290,f19361]) ).
fof(f83390,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389)))) = k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83277,f47919]) ).
fof(f83421,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,k5_subset_1(sF1392,sF1395,sK1389))) = k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83378,f47834]) ).
fof(f83428,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1396,X0)) = k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83390,f83257]) ).
fof(f83447,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0)) = k4_xboole_0(X0,k4_xboole_0(X0,sK1376(sK1388,sK1389)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83421,f75590]) ).
fof(f83466,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,sK1319(sK1388,sK1389))) = k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83447,f75593]) ).
fof(f83472,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,sF1396)) = k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83466,f75649]) ).
fof(f83502,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389))) = k3_tarski(k2_tarski(k4_xboole_0(sF1396,X0),k4_xboole_0(k4_xboole_0(sF1392,sK1389),k4_xboole_0(sF1392,sK1389))))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f29404,f83233]) ).
fof(f83516,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389))) = k3_tarski(k2_tarski(k4_xboole_0(sF1396,X0),k4_xboole_0(sK1389,k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1389)))))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83502,f46681]) ).
fof(f83531,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389))) = k3_tarski(k2_tarski(k4_xboole_0(sF1396,X0),k4_xboole_0(sK1389,sK1389)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83516,f34947]) ).
fof(f83540,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389))) = k3_tarski(k2_tarski(k4_xboole_0(sF1396,X0),k1_xboole_0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83531,f24757]) ).
fof(f83547,plain,
( ! [X0] : k4_xboole_0(sF1396,X0) = k4_xboole_0(sF1396,k4_xboole_0(X0,k4_xboole_0(sF1392,sK1389)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83540,f24758]) ).
fof(f83658,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1392,X0)) = k4_xboole_0(sF1396,k4_xboole_0(sK1389,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f83547,f46419]) ).
fof(f83740,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1396,X0)) = k4_xboole_0(sF1396,k4_xboole_0(sF1392,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83658,f77101]) ).
fof(f83756,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(sF1392,X0)) = k4_xboole_0(sF1396,k4_xboole_0(sF1395,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f83740,f83428]) ).
fof(f85054,plain,
( r1_tarski(k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1397)),k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(superposition,[],[f25392,f72808]) ).
fof(f85330,plain,
( k5_xboole_0(sK1389,k1_xboole_0) = k3_tarski(k2_tarski(sK1389,sF1398))
| ~ spl1401_1006 ),
inference(superposition,[],[f24709,f82316]) ).
fof(f85360,plain,
( k5_xboole_0(sK1389,k1_xboole_0) = k4_subset_1(sF1392,sK1389,sF1398)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f85330,f64861]) ).
fof(f85373,plain,
( sK1389 = k4_subset_1(sF1392,sK1389,sF1398)
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_679
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f85360,f11299]) ).
fof(f88385,plain,
( k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sF1393)) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393)))
| ~ spl1401_676 ),
inference(resolution,[],[f56729,f25262]) ).
fof(f88557,plain,
( k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sF1393)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sF1393)))
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_676 ),
inference(forward_demodulation,[],[f88385,f36869]) ).
fof(f90731,plain,
( r1_tarski(k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1397)),k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678 ),
inference(forward_demodulation,[],[f85054,f36869]) ).
fof(f90807,plain,
( r1_tarski(k5_subset_1(sF1392,sF1395,sF1397),k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f90731,f58161]) ).
fof(f90838,plain,
( r1_tarski(sF1397,k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_678
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f90807,f58173]) ).
fof(f91276,plain,
( k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393)) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f77655,f72814]) ).
fof(f91310,plain,
( sF1394 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sF1393)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_676 ),
inference(forward_demodulation,[],[f88557,f56513]) ).
fof(f91322,plain,
( k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393)) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sF1397,sK1389))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f91276,f77569]) ).
fof(f91447,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(sF1392,k3_tex_4(sK1387,sF1393))))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_676 ),
inference(superposition,[],[f36869,f91310]) ).
fof(f91493,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_676 ),
inference(forward_demodulation,[],[f91447,f47937]) ).
fof(f91908,plain,
( ~ r1_tarski(k9_relat_1(sF1391,sF1397),sF1397)
| sF1397 = k9_relat_1(sF1391,sF1397)
| ~ spl1401_771 ),
inference(resolution,[],[f60599,f11256]) ).
fof(f91910,definition,
( spl1401_1084
<=> sF1397 = k9_relat_1(sF1391,sF1397) ),
introduced(definition,[new_symbols(definition,[spl1401_1084])],[avatar_definition]) ).
fof(f91912,plain,
( sF1397 = k9_relat_1(sF1391,sF1397)
| ~ spl1401_1084 ),
inference(avatar_component_clause,[],[f91910]) ).
fof(f91913,plain,
( spl1401_1084
| ~ spl1401_754
| ~ spl1401_771 ),
inference(avatar_split_clause,[],[f91908,f60597,f59742,f91910]) ).
fof(f92195,plain,
( r1_tarski(k9_relat_1(sF1391,sF1397),sF1397)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_678
| ~ spl1401_679 ),
inference(resolution,[],[f90838,f56701]) ).
fof(f92210,plain,
( $false
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_678
| ~ spl1401_679
| spl1401_754 ),
inference(forward_subsumption_resolution,[],[f92195,f59743]) ).
fof(f92211,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_678
| ~ spl1401_679
| spl1401_754 ),
inference(avatar_contradiction_clause,[],[f92210]) ).
fof(f92216,plain,
( k3_tex_4(sK1387,sF1397) = k5_pre_topc(sK1387,sK1388,sF1391,sF1397)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084 ),
inference(superposition,[],[f58154,f91912]) ).
fof(f92257,plain,
( k3_tex_4(sK1387,sK1390) = k3_tex_4(sK1387,sF1397)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084 ),
inference(forward_demodulation,[],[f92216,f58011]) ).
fof(f104016,plain,
! [X0,X1] :
( ~ r1_tarski(X0,sF1392)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f26134,f22750]) ).
fof(f104019,plain,
! [X0,X1] :
( ~ r1_tarski(X0,sF1392)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f104016,f19272]) ).
fof(f104022,plain,
! [X0,X1] :
( ~ r1_tarski(X0,sF1392)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f104019,f19271]) ).
fof(f104025,plain,
! [X0,X1] :
( ~ r1_tarski(X0,sF1392)
| ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ v2_tsp_2(X1,sK1387)
| ~ m2_tsp_1(X1,sK1387) ),
inference(forward_subsumption_resolution,[],[f104022,f19270]) ).
fof(f104028,definition,
( spl1401_1335
<=> ! [X0] :
( ~ r1_tarski(X0,sF1392)
| k3_tex_4(sK1387,X0) = X0
| ~ v4_pre_topc(X0,sK1387) ) ),
introduced(definition,[new_symbols(definition,[spl1401_1335])],[avatar_definition]) ).
fof(f104029,plain,
( ! [X0] :
( ~ v4_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ r1_tarski(X0,sF1392) )
| ~ spl1401_1335 ),
inference(avatar_component_clause,[],[f104028]) ).
fof(f104030,plain,
( spl1401_615
| spl1401_1335 ),
inference(avatar_split_clause,[],[f104025,f104028,f55362]) ).
fof(f123371,plain,
( k5_subset_1(sF1395,sF1397,sF1396) = k4_xboole_0(sF1396,k4_xboole_0(sF1395,sF1397))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_861 ),
inference(superposition,[],[f60539,f83472]) ).
fof(f123461,plain,
( k5_subset_1(sF1395,sF1397,sF1396) = k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f123371,f83756]) ).
fof(f123622,plain,
( sF1398 = k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f123461,f63558]) ).
fof(f123952,plain,
( k4_xboole_0(sK1389,sF1398) = k4_xboole_0(sK1389,k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_861 ),
inference(superposition,[],[f79211,f123622]) ).
fof(f124012,plain,
( k4_xboole_0(sK1389,sF1398) = k4_xboole_0(sK1389,k5_subset_1(sF1392,sF1395,sF1397))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f123952,f58161]) ).
fof(f124027,plain,
( k4_xboole_0(sK1389,sF1397) = k4_xboole_0(sK1389,sF1398)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_861 ),
inference(forward_demodulation,[],[f124012,f58173]) ).
fof(f124134,plain,
( sF1398 = k4_xboole_0(k3_tarski(k2_tarski(sK1389,sF1398)),k4_xboole_0(sK1389,sF1397))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_861 ),
inference(superposition,[],[f40706,f124027]) ).
fof(f124145,plain,
( sF1398 = k4_xboole_0(k4_subset_1(sF1392,sK1389,sF1398),k4_xboole_0(sK1389,sF1397))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862 ),
inference(forward_demodulation,[],[f124134,f64861]) ).
fof(f124176,plain,
( sF1398 = k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1397))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f124145,f85373]) ).
fof(f124192,plain,
( sF1398 = k4_xboole_0(sK1389,k4_xboole_0(sF1392,sF1397))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f124176,f34825]) ).
fof(f124207,plain,
( sF1398 = k5_subset_1(sF1392,sF1397,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f124192,f58170]) ).
fof(f125508,plain,
( ! [X0] : k4_xboole_0(k4_xboole_0(sF1395,X0),k4_xboole_0(sF1392,sF1397)) = k4_xboole_0(k5_subset_1(sF1392,sF1395,sF1397),X0)
| ~ spl1401_393
| ~ spl1401_405
| ~ spl1401_679 ),
inference(superposition,[],[f27088,f58161]) ).
fof(f125535,plain,
( ! [X0] : k4_xboole_0(sF1397,X0) = k4_xboole_0(k4_xboole_0(sF1395,X0),k4_xboole_0(sF1392,sF1397))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_396
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679 ),
inference(forward_demodulation,[],[f125508,f58173]) ).
fof(f125604,plain,
( k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)) = k4_xboole_0(sF1397,k4_xboole_0(sF1392,sF1396))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_396
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679 ),
inference(superposition,[],[f125535,f63564]) ).
fof(f132653,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393))) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k5_subset_1(sF1392,sF1397,sK1389)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861 ),
inference(superposition,[],[f36869,f91322]) ).
fof(f132725,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1398)) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f132653,f124207]) ).
fof(f132758,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1398)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sF1393)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f132725,f36869]) ).
fof(f132783,plain,
( sF1394 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f132758,f91310]) ).
fof(f132808,plain,
( sF1394 = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f132783,f64899]) ).
fof(f132818,plain,
( sF1394 = sF1398
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_demodulation,[],[f132808,f64910]) ).
fof(f132825,plain,
( $false
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(forward_subsumption_resolution,[],[f132818,f22763]) ).
fof(f132826,plain,
( ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(avatar_contradiction_clause,[],[f132825]) ).
fof(f132839,plain,
( spl1401_709
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_892 ),
inference(avatar_split_clause,[],[f68890,f64797,f56743,f25116,f25006,f25002,f24994,f24977,f24961,f22806,f57934]) ).
fof(f134425,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1319(sK1388,sK1390)
| ~ m1_subset_1(sK1390,sF1400)
| ~ spl1401_1 ),
inference(resolution,[],[f22808,f25846]) ).
fof(f134428,plain,
( ! [X0] :
( ~ m1_subset_1(sK1390,sF1400)
| ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X0,sK1390)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X0),k3_tex_4(sK1387,sK1390)) )
| ~ spl1401_1 ),
inference(resolution,[],[f22808,f55382]) ).
fof(f134435,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1376(sK1388,sK1390)
| ~ m1_subset_1(sK1390,sF1400)
| ~ spl1401_1 ),
inference(resolution,[],[f22808,f55927]) ).
fof(f134440,plain,
( sK1390 = k3_tex_4(sK1387,sK1390)
| ~ r1_tarski(sK1390,sF1392)
| ~ spl1401_1
| ~ spl1401_1335 ),
inference(resolution,[],[f22808,f104029]) ).
fof(f134443,plain,
( sK1390 = k3_tex_4(sK1387,sK1390)
| ~ spl1401_1
| ~ spl1401_1335 ),
inference(forward_subsumption_resolution,[],[f134440,f26177]) ).
fof(f134448,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1376(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_subsumption_resolution,[],[f134435,f22768]) ).
fof(f134455,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X0,sK1390)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X0),k3_tex_4(sK1387,sK1390)) )
| ~ spl1401_1 ),
inference(forward_subsumption_resolution,[],[f134428,f22768]) ).
fof(f134458,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1319(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_subsumption_resolution,[],[f134425,f22768]) ).
fof(f134461,plain,
( sK1390 = k3_tex_4(sK1387,sF1397)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f134443,f92257]) ).
fof(f134463,plain,
( k5_subset_1(sF1392,sF1395,sK1390) = sK1376(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_demodulation,[],[f134448,f25269]) ).
fof(f134466,plain,
( ! [X0] :
( k3_tex_4(sK1387,k5_subset_1(sF1392,X0,sK1390)) = k5_subset_1(sF1392,k3_tex_4(sK1387,X0),k3_tex_4(sK1387,sF1397))
| ~ m1_subset_1(X0,sF1400) )
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084 ),
inference(forward_demodulation,[],[f134455,f92257]) ).
fof(f134469,plain,
( k5_subset_1(sF1392,sF1395,sK1390) = sK1319(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_demodulation,[],[f134458,f25269]) ).
fof(f134473,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,k3_tex_4(sK1387,X0),sK1390) = k3_tex_4(sK1387,k5_subset_1(sF1392,X0,sK1390)) )
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f134466,f134461]) ).
fof(f134474,plain,
( sK1319(sK1388,sK1390) = sK1376(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_demodulation,[],[f134469,f134463]) ).
fof(f134487,plain,
( k4_xboole_0(sF1395,sK1390) = k4_xboole_0(sF1395,sK1376(sK1388,sK1390))
| ~ spl1401_1 ),
inference(superposition,[],[f44811,f134463]) ).
fof(f134508,plain,
( k4_xboole_0(sF1395,sK1390) = k4_xboole_0(sF1395,sK1319(sK1388,sK1390))
| ~ spl1401_1 ),
inference(forward_demodulation,[],[f134487,f134474]) ).
fof(f135054,plain,
( k3_tex_4(sK1387,k5_subset_1(sF1392,sK1389,sK1390)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1389),sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(resolution,[],[f134473,f22769]) ).
fof(f135072,plain,
( k3_tex_4(sK1387,k5_subset_1(sF1392,sK1389,sK1390)) = k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,sK1389))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f135054,f65087]) ).
fof(f135215,plain,
( k3_tex_4(sK1387,sF1393) = k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,sK1389))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f135072,f22752]) ).
fof(f135698,plain,
( k5_subset_1(sF1392,sF1395,sK1390) = k9_relat_1(sF1391,sF1397)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f58150,f134461]) ).
fof(f135723,plain,
( sF1397 = k5_subset_1(sF1392,sF1395,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f135698,f91912]) ).
fof(f135725,plain,
( sF1397 = sK1376(sK1388,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f135723,f134463]) ).
fof(f135727,plain,
( sF1397 = sK1319(sK1388,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f135725,f134474]) ).
fof(f135774,plain,
( k4_xboole_0(sF1395,sK1390) = k4_xboole_0(sF1395,sF1397)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f134508,f135727]) ).
fof(f136674,plain,
( k4_xboole_0(sK1390,sF1395) = k4_xboole_0(sK1390,k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1397)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f26946,f135774]) ).
fof(f136679,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sK1390,X0)) = k3_tarski(k2_tarski(k4_xboole_0(sF1395,sF1397),k4_xboole_0(X0,k4_xboole_0(X0,sF1395))))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f29404,f135774]) ).
fof(f136696,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sK1390,X0)) = k4_xboole_0(sF1395,k4_xboole_0(sF1397,X0))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f136679,f29404]) ).
fof(f136699,plain,
( k4_xboole_0(sK1390,sF1395) = k4_xboole_0(sK1390,k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f136674,f36869]) ).
fof(f136718,plain,
( k4_xboole_0(sK1390,sF1395) = k4_xboole_0(sK1390,k5_subset_1(sF1392,sF1395,sF1397))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f136699,f58161]) ).
fof(f136732,plain,
( k4_xboole_0(sK1390,sF1395) = k4_xboole_0(sK1390,sF1397)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f136718,f58173]) ).
fof(f138615,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(sF1397,X0)) = k3_tarski(k2_tarski(k4_xboole_0(sK1390,sF1395),k4_xboole_0(X0,k4_xboole_0(X0,sK1390))))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f29404,f136732]) ).
fof(f138632,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(sF1395,X0)) = k4_xboole_0(sK1390,k4_xboole_0(sF1397,X0))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f138615,f29404]) ).
fof(f139220,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sF1395,k4_xboole_0(sF1397,sF1396))) = k4_xboole_0(sK1390,k5_subset_1(sF1395,sF1397,sF1396))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f138632,f60539]) ).
fof(f139282,plain,
( ! [X0,X1] : k4_xboole_0(sK1390,k4_xboole_0(X1,k4_xboole_0(sF1397,X0))) = k3_tarski(k2_tarski(k4_xboole_0(sK1390,X1),k4_xboole_0(sK1390,k4_xboole_0(sK1390,k4_xboole_0(sF1395,X0)))))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f24724,f138632]) ).
fof(f139309,plain,
( ! [X0,X1] : k4_xboole_0(sK1390,k4_xboole_0(X1,k4_xboole_0(sF1397,X0))) = k4_xboole_0(sK1390,k4_xboole_0(X1,k4_xboole_0(sF1395,X0)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f139282,f24724]) ).
fof(f139349,plain,
( k4_xboole_0(sK1390,sF1398) = k4_xboole_0(sK1390,k4_xboole_0(sF1395,k4_xboole_0(sF1397,sF1396)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f139220,f63558]) ).
fof(f139382,plain,
( k4_xboole_0(sK1390,sF1398) = k4_xboole_0(sK1390,k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1396)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f139349,f139309]) ).
fof(f139406,plain,
( k4_xboole_0(sK1390,sF1398) = k4_xboole_0(sK1390,k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1396)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f139382,f36869]) ).
fof(f139422,plain,
( k4_xboole_0(sK1390,sF1396) = k4_xboole_0(sK1390,sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f139406,f63564]) ).
fof(f139491,plain,
( r1_tarski(k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1396)),sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f25392,f139422]) ).
fof(f139517,plain,
( r1_tarski(k4_xboole_0(sK1390,k4_xboole_0(sF1392,sF1396)),sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f139491,f34355]) ).
fof(f139544,plain,
( r1_tarski(k5_subset_1(sF1392,sF1396,sK1390),sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f139517,f64042]) ).
fof(f139561,plain,
( $false
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862
| spl1401_1002
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_subsumption_resolution,[],[f139544,f78640]) ).
fof(f139562,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862
| spl1401_1002
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(avatar_contradiction_clause,[],[f139561]) ).
fof(f141000,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1397,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389)))) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f136696,f65186]) ).
fof(f141006,plain,
( k4_xboole_0(sF1395,k5_subset_1(sF1392,sF1396,sK1390)) = k4_xboole_0(sF1395,k4_xboole_0(sF1397,k4_xboole_0(sF1392,sF1396)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_862
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f136696,f64042]) ).
fof(f141121,plain,
( k4_xboole_0(sF1395,k5_subset_1(sF1392,sF1396,sK1390)) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141006,f125604]) ).
fof(f141125,plain,
( k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393)) = k4_xboole_0(sF1395,k4_xboole_0(sF1397,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389))))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141000,f135215]) ).
fof(f141172,plain,
( k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393)) = k4_xboole_0(sF1395,k4_xboole_0(sF1397,k4_xboole_0(sF1392,sF1396)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141125,f71391]) ).
fof(f141205,plain,
( k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393)) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141172,f125604]) ).
fof(f141421,plain,
( k4_xboole_0(sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141121,f78636]) ).
fof(f141422,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141205,f91493]) ).
fof(f141724,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141422,f141421]) ).
fof(f141859,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(superposition,[],[f36869,f141724]) ).
fof(f141915,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394)) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141859,f64899]) ).
fof(f141930,plain,
( sF1398 = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141915,f64910]) ).
fof(f141943,plain,
( sF1398 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1394))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141930,f36869]) ).
fof(f141954,plain,
( sF1398 = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_677
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141943,f58267]) ).
fof(f141962,plain,
( sF1394 = sF1398
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_400
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_677
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_demodulation,[],[f141954,f58277]) ).
fof(f141967,plain,
( $false
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_400
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_677
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(forward_subsumption_resolution,[],[f141962,f22763]) ).
fof(f141968,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_400
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_677
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(avatar_contradiction_clause,[],[f141967]) ).
cnf(s1,plain,
( spl1401_1
| spl1401_2 ),
inference(sat_conversion,[],[f22813]) ).
cnf(s340,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(sat_conversion,[],[f25009]) ).
cnf(s341,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_399 ),
inference(sat_conversion,[],[f25014]) ).
cnf(s342,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_400 ),
inference(sat_conversion,[],[f25019]) ).
cnf(s343,plain,
( ~ spl1401_396
| ~ spl1401_399
| spl1401_401 ),
inference(sat_conversion,[],[f25036]) ).
cnf(s347,plain,
spl1401_393,
inference(sat_conversion,[],[f25147]) ).
cnf(s348,plain,
spl1401_402,
inference(sat_conversion,[],[f25166]) ).
cnf(s349,plain,
( spl1401_391
| ~ spl1401_402 ),
inference(sat_conversion,[],[f25169]) ).
cnf(s369,plain,
spl1401_405,
inference(sat_conversion,[],[f26230]) ).
cnf(s450,plain,
( ~ spl1401_391
| spl1401_409 ),
inference(sat_conversion,[],[f39744]) ).
cnf(s505,plain,
spl1401_395,
inference(sat_conversion,[],[f55381]) ).
cnf(s506,plain,
spl1401_397,
inference(sat_conversion,[],[f55392]) ).
cnf(s510,plain,
spl1401_398,
inference(sat_conversion,[],[f55549]) ).
cnf(s519,plain,
~ spl1401_615,
inference(sat_conversion,[],[f55729]) ).
cnf(s560,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_676
| spl1401_677 ),
inference(sat_conversion,[],[f56772]) ).
cnf(s562,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_678
| spl1401_679 ),
inference(sat_conversion,[],[f56777]) ).
cnf(s586,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_678 ),
inference(sat_conversion,[],[f58038]) ).
cnf(s626,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_679
| ~ spl1401_770
| spl1401_771 ),
inference(sat_conversion,[],[f60600]) ).
cnf(s685,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_676 ),
inference(sat_conversion,[],[f63659]) ).
cnf(s686,plain,
( ~ spl1401_1
| spl1401_718 ),
inference(sat_conversion,[],[f63714]) ).
cnf(s692,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_861
| spl1401_862 ),
inference(sat_conversion,[],[f63933]) ).
cnf(s693,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| spl1401_861 ),
inference(sat_conversion,[],[f63953]) ).
cnf(s761,plain,
( ~ spl1401_679
| spl1401_892 ),
inference(sat_conversion,[],[f68832]) ).
cnf(s816,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_678
| ~ spl1401_718
| spl1401_770 ),
inference(sat_conversion,[],[f76499]) ).
cnf(s823,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_679
| ~ spl1401_709
| ~ spl1401_862
| spl1401_1001
| ~ spl1401_1002 ),
inference(sat_conversion,[],[f78641]) ).
cnf(s852,plain,
( ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_862
| spl1401_1006 ),
inference(sat_conversion,[],[f82209]) ).
cnf(s906,plain,
( ~ spl1401_754
| ~ spl1401_771
| spl1401_1084 ),
inference(sat_conversion,[],[f91913]) ).
cnf(s909,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_678
| ~ spl1401_679
| spl1401_754 ),
inference(sat_conversion,[],[f92211]) ).
cnf(s1144,plain,
( spl1401_615
| spl1401_1335 ),
inference(sat_conversion,[],[f104030]) ).
cnf(s1363,plain,
( ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_678
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1006 ),
inference(sat_conversion,[],[f132826]) ).
cnf(s1376,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_679
| spl1401_709
| ~ spl1401_892 ),
inference(sat_conversion,[],[f132839]) ).
cnf(s1534,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_679
| ~ spl1401_862
| spl1401_1002
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(sat_conversion,[],[f139562]) ).
cnf(s1551,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_400
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_676
| ~ spl1401_677
| ~ spl1401_679
| ~ spl1401_861
| ~ spl1401_862
| ~ spl1401_1001
| ~ spl1401_1084
| ~ spl1401_1335 ),
inference(sat_conversion,[],[f141968]) ).
cnf(s1626,plain,
spl1401_1335,
inference(rat,[],[s1144,s519]) ).
cnf(s1694,plain,
spl1401_391,
inference(rat,[],[s349,s348]) ).
cnf(s1697,plain,
spl1401_409,
inference(rat,[],[s450,s1694]) ).
cnf(s1722,plain,
spl1401_861,
inference(rat,[],[s693,s1694,s510,s506,s505,s347]) ).
cnf(s1723,plain,
spl1401_676,
inference(rat,[],[s685,s1694,s510,s506,s505,s347]) ).
cnf(s1728,plain,
spl1401_678,
inference(rat,[],[s586,s1694,s510,s506,s505,s347]) ).
cnf(s1737,plain,
spl1401_862,
inference(rat,[],[s692,s347,s1694,s510,s506,s505,s1722]) ).
cnf(s1739,plain,
spl1401_677,
inference(rat,[],[s560,s347,s1694,s510,s506,s505,s1723]) ).
cnf(s1742,plain,
spl1401_679,
inference(rat,[],[s562,s347,s1694,s510,s506,s505,s1728]) ).
cnf(s1793,plain,
spl1401_892,
inference(rat,[],[s761,s1742]) ).
cnf(s1805,plain,
spl1401_400,
inference(rat,[],[s342,s510,s506,s505,s347,s1694]) ).
cnf(s1811,plain,
spl1401_399,
inference(rat,[],[s341,s510,s506,s505,s347,s1694]) ).
cnf(s1812,plain,
spl1401_396,
inference(rat,[],[s340,s510,s506,s505,s347,s1694]) ).
cnf(s1817,plain,
spl1401_754,
inference(rat,[],[s909,s1728,s1742,s347,s1697,s369,s510,s506,s1694,s505,s1812]) ).
cnf(s1818,plain,
spl1401_401,
inference(rat,[],[s343,s1811,s1812]) ).
cnf(s1850,plain,
~ spl1401_2,
inference(rat,[],[s852,s1363,s1694,s505,s347,s506,s510,s1737,s1812,s1811,s369,s1697,s1723,s1728,s1742,s1722,s1818]) ).
cnf(s1851,plain,
spl1401_1,
inference(rat,[],[s1,s1850]) ).
cnf(s1853,plain,
spl1401_709,
inference(rat,[],[s1376,s1793,s1742,s347,s369,s510,s506,s505,s1694,s1851]) ).
cnf(s1858,plain,
spl1401_718,
inference(rat,[],[s686,s1851]) ).
cnf(s1863,plain,
spl1401_770,
inference(rat,[],[s816,s1728,s347,s1694,s510,s506,s505,s1858]) ).
cnf(s1870,plain,
spl1401_771,
inference(rat,[],[s626,s1742,s347,s1694,s510,s506,s505,s1863]) ).
cnf(s1872,plain,
spl1401_1084,
inference(rat,[],[s906,s1817,s1870]) ).
cnf(s1874,plain,
~ spl1401_1001,
inference(rat,[],[s1551,s1626,s1851,s1818,s1737,s1722,s1742,s1739,s1723,s1697,s369,s1812,s1805,s1811,s510,s506,s347,s505,s1694,s1872]) ).
cnf(s1875,plain,
spl1401_1002,
inference(rat,[],[s1534,s1626,s1851,s1812,s1737,s1742,s1697,s369,s1811,s510,s506,s347,s505,s1694,s1872]) ).
cnf(s1879,plain,
$false,
inference(rat,[],[s823,s1853,s1812,s1737,s1811,s1742,s369,s347,s510,s506,s1694,s505,s1874,s1875]) ).
fof(f141972,plain,
$false,
inference(avatar_sat_refutation,[],[s1879]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP040+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n015.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Mon Sep 28 19:04:48 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.28 Running first-order theorem proving
% 0.08/0.28 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
% 22.70/4.16 % (2917306)Detected formulas, will run a generic FOF schedule.
% 22.70/4.16 % (2917317)dis-21_1_sil=8000:lcm=predicate:random_seed=4287727668:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 22.70/4.16 % (2917311)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=2048736426:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 22.70/4.16 % (2917312)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=1434050443:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 22.70/4.16 % (2917313)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=418740510:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 22.70/4.16 % (2917315)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1765280269:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 22.70/4.16 % (2917316)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3341148252:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 22.70/4.16 % (2917314)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1202645195:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 22.70/4.16 % (2917317)Instruction limit reached!
% 22.70/4.16 % (2917317)------------------------------
% 22.70/4.16 % (2917317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.16 % (2917317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.16 % (2917317)CaDiCaL version: 2.1.3
% 22.70/4.16 % (2917317)Termination reason: Instruction limit
% 22.70/4.16 % (2917317)Termination phase: Preprocessing 3
% 22.70/4.16 % (2917317)Time elapsed: 0.099 s
% 22.70/4.16 % (2917317)Peak memory usage: 95 MB
% 22.70/4.16 % (2917317)Instructions burned: 129 (million)
% 22.70/4.16 % (2917314)Instruction limit reached!
% 22.70/4.16 % (2917314)------------------------------
% 22.70/4.16 % (2917314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.16 % (2917314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.16 % (2917314)CaDiCaL version: 2.1.3
% 22.70/4.16 % (2917314)Termination reason: Instruction limit
% 22.70/4.16 % (2917314)Termination phase: Saturation
% 22.70/4.16 % (2917314)Time elapsed: 0.110 s
% 22.70/4.16 % (2917314)Peak memory usage: 93 MB
% 22.70/4.16 % (2917314)Instructions burned: 109 (million)
% 22.70/4.16 % (2917315)Instruction limit reached!
% 22.70/4.16 % (2917315)------------------------------
% 22.70/4.16 % (2917315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.16 % (2917315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.16 % (2917315)CaDiCaL version: 2.1.3
% 22.70/4.16 % (2917315)Termination reason: Instruction limit
% 22.70/4.16 % (2917315)Termination phase: Property scanning
% 22.70/4.16 % (2917315)Time elapsed: 0.121 s
% 22.70/4.16 % (2917315)Peak memory usage: 93 MB
% 22.70/4.16 % (2917315)Instructions burned: 119 (million)
% 22.70/4.16 % (2917316)Instruction limit reached!
% 22.70/4.16 % (2917316)------------------------------
% 22.70/4.16 % (2917316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.16 % (2917316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/4.16 % (2917316)CaDiCaL version: 2.1.3
% 22.70/4.16 % (2917316)Termination reason: Instruction limit
% 22.70/4.16 % (2917316)Termination phase: Preprocessing 3
% 22.70/4.16 % (2917316)Time elapsed: 0.149 s
% 22.70/4.16 % (2917316)Peak memory usage: 94 MB
% 22.70/4.16 % (2917316)Instructions burned: 139 (million)
% 22.70/4.16 % (2917325)lrs+10_1_sil=8000:sp=occurrence:random_seed=2220458495:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 22.70/4.16 % (2917326)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2261403436:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 22.70/4.16 % (2917327)lrs+1011_1_sil=32000:sp=occurrence:random_seed=868265413:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 22.70/4.16 % (2917325)Instruction limit reached!
% 22.70/4.16 % (2917325)------------------------------
% 22.70/4.16 % (2917325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.70/4.16 % (2917325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.84/5.77 % (2917325)CaDiCaL version: 2.1.3
% 32.84/5.77 % (2917325)Termination reason: Instruction limit
% 32.84/5.77 % (2917325)Termination phase: Saturation
% 32.84/5.77 % (2917325)Time elapsed: 0.172 s
% 32.84/5.77 % (2917325)Peak memory usage: 98 MB
% 32.84/5.77 % (2917325)Instructions burned: 286 (million)
% 32.84/5.77 % (2917328)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=3804030336:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 32.84/5.77 % (2917326)Instruction limit reached!
% 32.84/5.77 % (2917326)------------------------------
% 32.84/5.77 % (2917326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.84/5.77 % (2917326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.84/5.77 % (2917326)CaDiCaL version: 2.1.3
% 32.84/5.77 % (2917326)Termination reason: Instruction limit
% 32.84/5.77 % (2917326)Termination phase: Saturation
% 32.84/5.77 % (2917326)Time elapsed: 0.151 s
% 32.84/5.77 % (2917326)Peak memory usage: 94 MB
% 32.84/5.77 % (2917326)Instructions burned: 157 (million)
% 32.84/5.77 % (2917333)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2900436559:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 32.84/5.77 % (2917328)Instruction limit reached!
% 32.84/5.77 % (2917328)------------------------------
% 32.84/5.77 % (2917328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.84/5.77 % (2917328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.84/5.77 % (2917328)CaDiCaL version: 2.1.3
% 32.84/5.77 % (2917328)Termination reason: Instruction limit
% 32.84/5.77 % (2917328)Termination phase: Property scanning
% 32.84/5.77 % (2917328)Time elapsed: 0.248 s
% 32.84/5.77 % (2917328)Peak memory usage: 98 MB
% 32.84/5.77 % (2917328)Instructions burned: 249 (million)
% 32.84/5.77 % (2917327)Instruction limit reached!
% 32.84/5.77 % (2917327)------------------------------
% 32.84/5.77 % (2917327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.84/5.77 % (2917327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.84/5.77 % (2917327)CaDiCaL version: 2.1.3
% 32.84/5.77 % (2917327)Termination reason: Instruction limit
% 32.84/5.77 % (2917327)Termination phase: Saturation
% 32.84/5.77 % (2917327)Time elapsed: 0.365 s
% 32.84/5.77 % (2917327)Peak memory usage: 97 MB
% 32.84/5.77 % (2917327)Instructions burned: 325 (million)
% 32.84/5.77 % (2917333)Instruction limit reached!
% 32.84/5.77 % (2917333)------------------------------
% 32.84/5.77 % (2917333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.84/5.77 % (2917333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.84/5.77 % (2917333)CaDiCaL version: 2.1.3
% 32.84/5.77 % (2917333)Termination reason: Instruction limit
% 32.84/5.77 % (2917333)Termination phase: Saturation
% 32.84/5.77 % (2917333)Time elapsed: 0.155 s
% 32.84/5.77 % (2917333)Peak memory usage: 98 MB
% 32.84/5.77 % (2917333)Instructions burned: 296 (million)
% 32.84/5.77 % (2917336)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4075251122:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 32.84/5.77 % (2917338)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3027457804:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 32.84/5.77 % (2917340)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2908395875:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 32.84/5.77 % (2917339)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=123794071:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 32.84/5.77 % (2917340)Instruction limit reached!
% 32.84/5.77 % (2917340)------------------------------
% 32.84/5.77 % (2917340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.84/5.77 % (2917340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.84/5.77 % (2917340)CaDiCaL version: 2.1.3
% 32.84/5.77 % (2917340)Termination reason: Instruction limit
% 32.84/5.77 % (2917340)Termination phase: Preprocessing 3
% 32.84/5.77 % (2917340)Time elapsed: 0.066 s
% 32.84/5.77 % (2917340)Peak memory usage: 90 MB
% 32.84/5.77 % (2917340)Instructions burned: 116 (million)
% 32.84/5.77 % (2917338)Instruction limit reached!
% 32.84/5.77 % (2917338)------------------------------
% 32.84/5.77 % (2917338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.25/11.45 % (2917338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.25/11.45 % (2917338)CaDiCaL version: 2.1.3
% 74.25/11.45 % (2917338)Termination reason: Instruction limit
% 74.25/11.45 % (2917338)Termination phase: Function definition elimination
% 74.25/11.45 % (2917338)Time elapsed: 0.120 s
% 74.25/11.45 % (2917338)Peak memory usage: 94 MB
% 74.25/11.45 % (2917338)Instructions burned: 114 (million)
% 74.25/11.45 % (2917339)Instruction limit reached!
% 74.25/11.45 % (2917339)------------------------------
% 74.25/11.45 % (2917339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.25/11.45 % (2917339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.25/11.45 % (2917339)CaDiCaL version: 2.1.3
% 74.25/11.45 % (2917339)Termination reason: Instruction limit
% 74.25/11.45 % (2917339)Termination phase: Preprocessing 3
% 74.25/11.45 % (2917339)Time elapsed: 0.139 s
% 74.25/11.45 % (2917339)Peak memory usage: 96 MB
% 74.25/11.45 % (2917339)Instructions burned: 128 (million)
% 74.25/11.45 % (2917345)lrs+10_1_sil=8000:sp=occurrence:random_seed=1855615642:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 74.25/11.46 % (2917346)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=44994623:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 74.25/11.46 % (2917347)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=743627598:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 74.25/11.46 % (2917346)Instruction limit reached!
% 74.25/11.46 % (2917346)------------------------------
% 74.25/11.46 % (2917346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.25/11.46 % (2917346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.25/11.46 % (2917346)CaDiCaL version: 2.1.3
% 74.25/11.46 % (2917346)Termination reason: Instruction limit
% 74.25/11.46 % (2917346)Termination phase: Saturation
% 74.25/11.46 % (2917346)Time elapsed: 0.405 s
% 74.25/11.46 % (2917346)Peak memory usage: 97 MB
% 74.25/11.46 % (2917346)Instructions burned: 438 (million)
% 74.25/11.46 % (2917345)Instruction limit reached!
% 74.25/11.46 % (2917345)------------------------------
% 74.25/11.46 % (2917345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.25/11.46 % (2917345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.25/11.46 % (2917345)CaDiCaL version: 2.1.3
% 74.25/11.46 % (2917345)Termination reason: Instruction limit
% 74.25/11.46 % (2917345)Termination phase: Saturation
% 74.25/11.46 % (2917345)Time elapsed: 0.530 s
% 74.25/11.46 % (2917345)Peak memory usage: 106 MB
% 74.25/11.46 % (2917345)Instructions burned: 908 (million)
% 74.25/11.46 % (2917353)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1771374778:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 74.25/11.46 % (2917353)Instruction limit reached!
% 74.25/11.46 % (2917353)------------------------------
% 74.25/11.46 % (2917353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.25/11.46 % (2917353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.25/11.46 % (2917353)CaDiCaL version: 2.1.3
% 74.25/11.46 % (2917353)Termination reason: Instruction limit
% 74.25/11.46 % (2917353)Termination phase: Saturation
% 74.25/11.46 % (2917353)Time elapsed: 0.075 s
% 74.25/11.46 % (2917353)Peak memory usage: 95 MB
% 74.25/11.46 % (2917353)Instructions burned: 136 (million)
% 74.25/11.46 % (2917355)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3275742458:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 74.25/11.46 % (2917358)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3654266730:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 74.25/11.46 % (2917355)Instruction limit reached!
% 74.25/11.46 % (2917355)------------------------------
% 74.25/11.46 % (2917355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.25/11.46 % (2917355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.25/11.46 % (2917355)CaDiCaL version: 2.1.3
% 74.25/11.46 % (2917355)Termination reason: Instruction limit
% 74.25/11.46 % (2917355)Termination phase: Saturation
% 74.25/11.46 % (2917355)Time elapsed: 0.507 s
% 74.25/11.46 % (2917355)Peak memory usage: 106 MB
% 74.25/11.46 % (2917355)Instructions burned: 592 (million)
% 74.25/11.46 % (2917363)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=541888593:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/125Mi)
% 141.89/21.03 % (2917363)Instruction limit reached!
% 141.89/21.03 % (2917363)------------------------------
% 141.89/21.03 % (2917363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.89/21.03 % (2917363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.89/21.03 % (2917363)CaDiCaL version: 2.1.3
% 141.89/21.03 % (2917363)Termination reason: Instruction limit
% 141.89/21.03 % (2917363)Termination phase: Preprocessing 3
% 141.89/21.03 % (2917363)Time elapsed: 0.137 s
% 141.89/21.03 % (2917363)Peak memory usage: 92 MB
% 141.89/21.03 % (2917363)Instructions burned: 125 (million)
% 141.89/21.03 % (2917367)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3940195102:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 141.89/21.03 % (2917367)Instruction limit reached!
% 141.89/21.03 % (2917367)------------------------------
% 141.89/21.03 % (2917367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.89/21.03 % (2917367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.89/21.03 % (2917367)CaDiCaL version: 2.1.3
% 141.89/21.03 % (2917367)Termination reason: Instruction limit
% 141.89/21.03 % (2917367)Termination phase: Unused predicate definition removal
% 141.89/21.03 % (2917367)Time elapsed: 0.124 s
% 141.89/21.03 % (2917367)Peak memory usage: 89 MB
% 141.89/21.03 % (2917367)Instructions burned: 134 (million)
% 141.89/21.03 % (2917336)Instruction limit reached!
% 141.89/21.03 % (2917336)------------------------------
% 141.89/21.03 % (2917336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.89/21.03 % (2917336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.89/21.03 % (2917336)CaDiCaL version: 2.1.3
% 141.89/21.03 % (2917336)Termination reason: Instruction limit
% 141.89/21.03 % (2917336)Termination phase: Saturation
% 141.89/21.03 % (2917336)Time elapsed: 2.511 s
% 141.89/21.03 % (2917336)Peak memory usage: 229 MB
% 141.89/21.03 % (2917336)Instructions burned: 2351 (million)
% 141.89/21.03 % (2917370)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=157081369:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 141.89/21.03 % (2917369)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4279310057:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/141Mi)
% 141.89/21.03 % (2917369)Instruction limit reached!
% 141.89/21.03 % (2917369)------------------------------
% 141.89/21.03 % (2917369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.89/21.03 % (2917369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.89/21.03 % (2917369)CaDiCaL version: 2.1.3
% 141.89/21.03 % (2917369)Termination reason: Instruction limit
% 141.89/21.03 % (2917369)Termination phase: Saturation
% 141.89/21.03 % (2917369)Time elapsed: 0.153 s
% 141.89/21.03 % (2917369)Peak memory usage: 95 MB
% 141.89/21.03 % (2917369)Instructions burned: 141 (million)
% 141.89/21.03 % (2917373)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=1208895510:i=6060:aac=none:ins=25_2957 on theBenchmark for (2957ds/6060Mi)
% 141.89/21.03 % (2917370)Instruction limit reached!
% 141.89/21.03 % (2917370)------------------------------
% 141.89/21.03 % (2917370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.89/21.03 % (2917370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.89/21.03 % (2917370)CaDiCaL version: 2.1.3
% 141.89/21.03 % (2917370)Termination reason: Instruction limit
% 141.89/21.03 % (2917370)Termination phase: Saturation
% 141.89/21.03 % (2917370)Time elapsed: 0.421 s
% 141.89/21.03 % (2917370)Peak memory usage: 98 MB
% 141.89/21.03 % (2917370)Instructions burned: 431 (million)
% 141.89/21.03 % (2917375)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=1549660188:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2955 on theBenchmark for (2955ds/150Mi)
% 141.89/21.03 % (2917375)Instruction limit reached!
% 141.89/21.03 % (2917375)------------------------------
% 141.89/21.03 % (2917375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.89/21.03 % (2917375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.89/21.03 % (2917375)CaDiCaL version: 2.1.3
% 141.89/21.03 % (2917375)Termination reason: Instruction limit
% 80.33/21.26 % (2917375)Termination phase: Preprocessing 3
% 80.33/21.26 % (2917375)Time elapsed: 0.172 s
% 80.33/21.26 % (2917375)Peak memory usage: 96 MB
% 80.33/21.26 % (2917375)Instructions burned: 150 (million)
% 80.33/21.26 % (2917377)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=495530589:i=14155:bd=all_2950 on theBenchmark for (2950ds/14155Mi)
% 80.33/21.26 % (2917347)Instruction limit reached!
% 80.33/21.26 % (2917347)------------------------------
% 80.33/21.26 % (2917347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917347)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917347)Termination reason: Instruction limit
% 80.33/21.26 % (2917347)Termination phase: Saturation
% 80.33/21.26 % (2917347)Time elapsed: 4.975 s
% 80.33/21.26 % (2917347)Peak memory usage: 209 MB
% 80.33/21.26 % (2917347)Instructions burned: 5203 (million)
% 80.33/21.26 % (2917379)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2942255643:i=667:av=off:fsr=off_2930 on theBenchmark for (2930ds/667Mi)
% 80.33/21.26 % (2917373)Instruction limit reached!
% 80.33/21.26 % (2917373)------------------------------
% 80.33/21.26 % (2917373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917373)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917373)Termination reason: Instruction limit
% 80.33/21.26 % (2917373)Termination phase: Saturation
% 80.33/21.26 % (2917373)Time elapsed: 3.273 s
% 80.33/21.26 % (2917373)Peak memory usage: 243 MB
% 80.33/21.26 % (2917373)Instructions burned: 6061 (million)
% 80.33/21.26 % (2917379)Instruction limit reached!
% 80.33/21.26 % (2917379)------------------------------
% 80.33/21.26 % (2917379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917379)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917379)Termination reason: Instruction limit
% 80.33/21.26 % (2917379)Termination phase: Saturation
% 80.33/21.26 % (2917379)Time elapsed: 0.590 s
% 80.33/21.26 % (2917379)Peak memory usage: 106 MB
% 80.33/21.26 % (2917379)Instructions burned: 668 (million)
% 80.33/21.26 % (2917383)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=2481409746:s2a=on:i=185:s2at=1.8:fdi=4_2922 on theBenchmark for (2922ds/185Mi)
% 80.33/21.26 % (2917383)Instruction limit reached!
% 80.33/21.26 % (2917383)------------------------------
% 80.33/21.26 % (2917383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917383)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917383)Termination reason: Instruction limit
% 80.33/21.26 % (2917383)Termination phase: NewCNF
% 80.33/21.26 % (2917383)Time elapsed: 0.098 s
% 80.33/21.26 % (2917383)Peak memory usage: 98 MB
% 80.33/21.26 % (2917383)Instructions burned: 186 (million)
% 80.33/21.26 % (2917384)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3106763717:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2921 on theBenchmark for (2921ds/193Mi)
% 80.33/21.26 % (2917384)Instruction limit reached!
% 80.33/21.26 % (2917384)------------------------------
% 80.33/21.26 % (2917384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917384)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917384)Termination reason: Instruction limit
% 80.33/21.26 % (2917384)Termination phase: Saturation
% 80.33/21.26 % (2917384)Time elapsed: 0.196 s
% 80.33/21.26 % (2917384)Peak memory usage: 97 MB
% 80.33/21.26 % (2917384)Instructions burned: 194 (million)
% 80.33/21.26 % (2917388)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=166606743:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2919 on theBenchmark for (2919ds/4850Mi)
% 80.33/21.26 % (2917391)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3380096281:i=12111:sd=1:ss=included_2916 on theBenchmark for (2916ds/12111Mi)
% 80.33/21.26 % (2917388)Instruction limit reached!
% 80.33/21.26 % (2917388)------------------------------
% 80.33/21.26 % (2917388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917388)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917388)Termination reason: Instruction limit
% 80.33/21.26 % (2917388)Termination phase: Saturation
% 80.33/21.26 % (2917388)Time elapsed: 2.254 s
% 80.33/21.26 % (2917388)Peak memory usage: 125 MB
% 80.33/21.26 % (2917388)Instructions burned: 4852 (million)
% 80.33/21.26 % (2917397)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=297176097:i=319:kws=precedence:fsr=off_2894 on theBenchmark for (2894ds/319Mi)
% 80.33/21.26 % (2917397)Instruction limit reached!
% 80.33/21.26 % (2917397)------------------------------
% 80.33/21.26 % (2917397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917397)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917397)Termination reason: Instruction limit
% 80.33/21.26 % (2917397)Termination phase: Property scanning
% 80.33/21.26 % (2917397)Time elapsed: 0.167 s
% 80.33/21.26 % (2917397)Peak memory usage: 99 MB
% 80.33/21.26 % (2917397)Instructions burned: 321 (million)
% 80.33/21.26 % (2917399)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=864131439:i=2064:ep=RST_2889 on theBenchmark for (2889ds/2064Mi)
% 80.33/21.26 % (2917399)Instruction limit reached!
% 80.33/21.26 % (2917399)------------------------------
% 80.33/21.26 % (2917399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917399)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917399)Termination reason: Instruction limit
% 80.33/21.26 % (2917399)Termination phase: Saturation
% 80.33/21.26 % (2917399)Time elapsed: 0.986 s
% 80.33/21.26 % (2917399)Peak memory usage: 124 MB
% 80.33/21.26 % (2917399)Instructions burned: 2066 (million)
% 80.33/21.26 % (2917404)dis-1011_128_sil=32000:random_seed=278544993:i=3706:ep=RST:av=off_2877 on theBenchmark for (2877ds/3706Mi)
% 80.33/21.26 % (2917404)Instruction limit reached!
% 80.33/21.26 % (2917404)------------------------------
% 80.33/21.26 % (2917404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917404)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917404)Termination reason: Instruction limit
% 80.33/21.26 % (2917404)Termination phase: Saturation
% 80.33/21.26 % (2917404)Time elapsed: 2.153 s
% 80.33/21.26 % (2917404)Peak memory usage: 130 MB
% 80.33/21.26 % (2917404)Instructions burned: 3708 (million)
% 80.33/21.26 % (2917409)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3001769768:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2853 on theBenchmark for (2853ds/757Mi)
% 80.33/21.26 % (2917358)Instruction limit reached!
% 80.33/21.26 % (2917358)------------------------------
% 80.33/21.26 % (2917358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917358)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917358)Termination reason: Instruction limit
% 80.33/21.26 % (2917358)Termination phase: Saturation
% 80.33/21.26 % (2917358)Time elapsed: 12.252 s
% 80.33/21.26 % (2917358)Peak memory usage: 254 MB
% 80.33/21.26 % (2917358)Instructions burned: 13193 (million)
% 80.33/21.26 % (2917409)Instruction limit reached!
% 80.33/21.26 % (2917409)------------------------------
% 80.33/21.26 % (2917409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917409)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917409)Termination reason: Instruction limit
% 80.33/21.26 % (2917409)Termination phase: Saturation
% 80.33/21.26 % (2917409)Time elapsed: 0.443 s
% 80.33/21.26 % (2917409)Peak memory usage: 99 MB
% 80.33/21.26 % (2917409)Instructions burned: 759 (million)
% 80.33/21.26 % (2917411)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2770233893:i=13913:ss=axioms:sgt=8_2849 on theBenchmark for (2849ds/13913Mi)
% 80.33/21.26 % (2917412)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=374546278:i=9925:aac=none_2847 on theBenchmark for (2847ds/9925Mi)
% 80.33/21.26 % (2917311)First to succeed.
% 80.33/21.26 % (2917311)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2917306"
% 80.33/21.26 % (2917377)Instruction limit reached!
% 80.33/21.26 % (2917377)------------------------------
% 80.33/21.26 % (2917377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.33/21.26 % (2917377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.33/21.26 % (2917377)CaDiCaL version: 2.1.3
% 80.33/21.26 % (2917377)Termination reason: Instruction limit
% 80.33/21.26 % (2917377)Termination phase: Saturation
% 80.33/21.26 % (2917377)Time elapsed: 14.917 s
% 80.33/21.26 % (2917377)Peak memory usage: 255 MB
% 80.33/21.26 % (2917377)Instructions burned: 14155 (million)
% 80.33/21.26 % (2917311)Refutation found. Thanks to Tanya!
% 80.33/21.26 % SZS status Theorem for theBenchmark
% 80.33/21.26 % SZS output start Proof for theBenchmark
% See solution above
% 144.46/21.57 % (2917311)------------------------------
% 144.46/21.57 % (2917311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.46/21.57 % (2917311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.46/21.57 % (2917311)CaDiCaL version: 2.1.3
% 144.46/21.57 % (2917311)Termination reason: Refutation
% 144.46/21.57 % (2917311)Time elapsed: 19.410 s
% 144.46/21.57 % (2917311)Peak memory usage: 323 MB
% 144.46/21.57 % (2917311)Instructions burned: 18102 (million)
% 144.46/21.57 % (2917311)------------------------------
% 144.46/21.57 % (2917311)------------------------------
% 144.46/21.57 % (2917306)Success in time 20.385 s
% 144.46/21.57 % Vampire exiting
%------------------------------------------------------------------------------