%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP039+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 02:34:01 PM UTC 2026
% Result : Theorem 70.46s 12.56s
% Output : Refutation 82.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 87
% Syntax : Number of formulae : 986 ( 200 unt; 32 def)
% Number of atoms : 4586 ( 630 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 6836 (3236 ~;3356 |; 142 &)
% ( 37 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 23 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 15 con; 0-4 aty)
% Number of variables : 978 ( 1 sgn 960 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f58,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f62,axiom,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(f63,axiom,
! [X0] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(f64,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t16_xboole_1) ).
fof(f97,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k3_xboole_0(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f105,axiom,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t53_xboole_1) ).
fof(f161,axiom,
! [X0] : k5_xboole_0(X0,X0) = k1_xboole_0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t93_zfmisc_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t3_subset) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t15_pre_topc) ).
fof(f2245,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k5_pre_topc) ).
fof(f2611,axiom,
! [X0] : u1_pre_topc(k2_pcomps_1(X0)) = k1_pcomps_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_pcomps_1) ).
fof(f2652,axiom,
! [X0] : k1_pcomps_1(X0) = k1_zfmisc_1(X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t34_tex_4) ).
fof(f3435,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)))
=> ( v3_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_tex_4) ).
fof(f3443,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)))
=> ( ( v3_pre_topc(X1,X0)
| v3_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/sandbox/benchmark/theBenchmark.p',t67_tex_4) ).
fof(f3565,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f3587,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)))
=> ( v3_pre_topc(X2,X0)
=> X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_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/sandbox/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/sandbox/benchmark/theBenchmark.p',l19_tsp_2) ).
fof(f3611,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)))
=> ( v3_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t30_tsp_2) ).
fof(f3637,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)))
=> ( ( v3_pre_topc(X2,X0)
| v3_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/sandbox/benchmark/theBenchmark.p',t32_tsp_2) ).
fof(f3638,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)))
=> ( ( v3_pre_topc(X2,X0)
| v3_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)],[f3637]) ).
fof(f3650,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(rectify,[],[f58]) ).
fof(f3826,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f3827,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f3826]) ).
fof(f3848,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f4111,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(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(flattening,[],[f4111]) ).
fof(f4113,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(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(flattening,[],[f4113]) ).
fof(f4117,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(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(flattening,[],[f4117]) ).
fof(f4549,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(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(flattening,[],[f4549]) ).
fof(f4732,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(f4790,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(f6147,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2190]) ).
fof(f6151,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(f6200,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f6204,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(f6207,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(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(flattening,[],[f6207]) ).
fof(f6209,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(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(flattening,[],[f6209]) ).
fof(f6211,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(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(flattening,[],[f6211]) ).
fof(f8162,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(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(flattening,[],[f8162]) ).
fof(f8202,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_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,[],[f3435]) ).
fof(f8203,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_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,[],[f8202]) ).
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))
| ( ~ v3_pre_topc(X1,X0)
& ~ v3_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,[],[f3443]) ).
fof(f8219,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))
| ( ~ v3_pre_topc(X1,X0)
& ~ v3_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,[],[f8218]) ).
fof(f8444,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3565]) ).
fof(f8446,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3567]) ).
fof(f8461,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(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(flattening,[],[f8461]) ).
fof(f8485,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v3_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,[],[f3587]) ).
fof(f8486,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v3_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,[],[f8485]) ).
fof(f8499,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(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(flattening,[],[f8499]) ).
fof(f8501,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(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(flattening,[],[f8501]) ).
fof(f8533,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v3_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v3_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,[],[f3611]) ).
fof(f8534,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v3_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v3_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,[],[f8533]) ).
fof(f8577,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(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(flattening,[],[f8577]) ).
fof(f8579,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(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(flattening,[],[f8579]) ).
fof(f8581,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(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(flattening,[],[f8581]) ).
fof(f8585,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))
& ( v3_pre_topc(X2,X0)
| v3_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,[],[f3638]) ).
fof(f8586,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))
& ( v3_pre_topc(X2,X0)
| v3_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,[],[f8585]) ).
fof(f8991,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(f8992,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,[],[f8991]) ).
fof(f9007,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(f9126,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(f9421,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(f11109,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,[],[f8446]) ).
fof(f11135,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,[],[f8500]) ).
fof(f11145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_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)))
& v3_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) )
| ~ v3_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,[],[f8534]) ).
fof(f11146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_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)))
& v3_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) )
| ~ v3_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,[],[f11145]) ).
fof(f11147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_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)))
& v3_pre_topc(X4,X1)
& k3_xboole_0(X2,u1_struct_0(X1)) = X4 ) )
| ~ v3_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,[],[f11146]) ).
fof(f11148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& m1_subset_1(sK1375(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(sK1375(X1,X2),X1)
& k3_xboole_0(X2,u1_struct_0(X1)) = sK1375(X1,X2) )
| ~ v3_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,[sK1375]),skolemize(X4,sK1375(X1,X2))],[f11147]) ).
fof(f11167,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,[],[f8578]) ).
fof(f11168,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,[],[f11167]) ).
fof(f11169,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))],[f11168]) ).
fof(f11170,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))
& ( v3_pre_topc(sK1389,sK1387)
| v3_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)],[f8586]) ).
fof(f11251,plain,
! [X0,X1] :
( r1_tarski(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f8992]) ).
fof(f11289,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f11290,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f3650]) ).
fof(f11292,plain,
! [X0] : k2_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f62]) ).
fof(f11293,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f63]) ).
fof(f11294,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f11300,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f3827]) ).
fof(f11317,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(f11331,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f3848]) ).
fof(f11339,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f11341,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k1_xboole_0 = k4_xboole_0(X0,X1) ),
inference(cnf_transformation,[],[f9007]) ).
fof(f11344,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f109]) ).
fof(f11345,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(f11351,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f116]) ).
fof(f11352,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f11353,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(f11356,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(f11357,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(f11400,plain,
! [X0] : k1_xboole_0 = k5_xboole_0(X0,X0),
inference(cnf_transformation,[],[f161]) ).
fof(f11402,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(f11406,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f167]) ).
fof(f11408,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f169]) ).
fof(f11425,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(f11557,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f281]) ).
fof(f11786,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,[],[f4112]) ).
fof(f11787,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,[],[f4114]) ).
fof(f11789,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,[],[f4118]) ).
fof(f11799,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f9126]) ).
fof(f12345,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,[],[f4550]) ).
fof(f12676,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f4732]) ).
fof(f12756,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,[],[f4790]) ).
fof(f12758,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9421]) ).
fof(f15211,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f6147]) ).
fof(f15214,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,[],[f6151]) ).
fof(f15301,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6200]) ).
fof(f15305,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6204]) ).
fof(f15308,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,[],[f6208]) ).
fof(f15309,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,[],[f6210]) ).
fof(f15310,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,[],[f6212]) ).
fof(f16047,plain,
! [X0] : k1_pcomps_1(X0) = u1_pre_topc(k2_pcomps_1(X0)),
inference(cnf_transformation,[],[f2611]) ).
fof(f16168,plain,
! [X0] : k1_zfmisc_1(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f2652]) ).
fof(f18564,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,[],[f8163]) ).
fof(f18625,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_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,[],[f8203]) ).
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))
| ~ v3_pre_topc(X1,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,[],[f8219]) ).
fof(f19073,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f8444]) ).
fof(f19075,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f11109]) ).
fof(f19095,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,[],[f8462]) ).
fof(f19096,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,[],[f8462]) ).
fof(f19097,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,[],[f8462]) ).
fof(f19098,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,[],[f8462]) ).
fof(f19132,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v3_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,[],[f8486]) ).
fof(f19150,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,[],[f11135]) ).
fof(f19151,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,[],[f8502]) ).
fof(f19198,plain,
! [X2,X0,X1] :
( k3_xboole_0(X2,u1_struct_0(X1)) = sK1375(X1,X2)
| ~ v3_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,[],[f11148]) ).
fof(f19257,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,[],[f11169]) ).
fof(f19262,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,[],[f8580]) ).
fof(f19263,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,[],[f8582]) ).
fof(f19265,plain,
l1_pre_topc(sK1387),
inference(cnf_transformation,[],[f11170]) ).
fof(f19266,plain,
v2_pre_topc(sK1387),
inference(cnf_transformation,[],[f11170]) ).
fof(f19267,plain,
~ v3_struct_0(sK1387),
inference(cnf_transformation,[],[f11170]) ).
fof(f19268,plain,
m2_tsp_1(sK1388,sK1387),
inference(cnf_transformation,[],[f11170]) ).
fof(f19269,plain,
v2_tsp_2(sK1388,sK1387),
inference(cnf_transformation,[],[f11170]) ).
fof(f19270,plain,
~ v3_struct_0(sK1388),
inference(cnf_transformation,[],[f11170]) ).
fof(f19271,plain,
m1_subset_1(sK1389,k1_zfmisc_1(u1_struct_0(sK1387))),
inference(cnf_transformation,[],[f11170]) ).
fof(f19272,plain,
m1_subset_1(sK1390,k1_zfmisc_1(u1_struct_0(sK1387))),
inference(cnf_transformation,[],[f11170]) ).
fof(f19273,plain,
( v3_pre_topc(sK1389,sK1387)
| v3_pre_topc(sK1390,sK1387) ),
inference(cnf_transformation,[],[f11170]) ).
fof(f19274,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,[],[f11170]) ).
fof(f19275,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,[],[f11402,f11352]) ).
fof(f19276,plain,
! [X0] : k1_zfmisc_1(X0) = u1_pre_topc(k2_pcomps_1(X0)),
inference(definition_unfolding,[],[f16168,f16047]) ).
fof(f19281,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k5_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f11408,f11352]) ).
fof(f19311,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f11289,f11352,f11352]) ).
fof(f19312,plain,
! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,X0)) = X0,
inference(definition_unfolding,[],[f11290,f11352]) ).
fof(f19313,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,[],[f11292,f19275]) ).
fof(f19314,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(X0,k4_xboole_0(X0,k1_xboole_0)),
inference(definition_unfolding,[],[f11293,f11352]) ).
fof(f19329,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,[],[f11317,f11352,f11352,f11352,f11352]) ).
fof(f19343,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f11331,f11352]) ).
fof(f19348,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,[],[f11344,f19275]) ).
fof(f19349,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,[],[f11345,f19275]) ).
fof(f19355,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f11351,f11352]) ).
fof(f19356,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,[],[f11353,f11352,f11352]) ).
fof(f19359,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,[],[f11356,f19275,f11352]) ).
fof(f19360,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,[],[f11357,f19275,f11352]) ).
fof(f19380,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,[],[f11406,f19275]) ).
fof(f19389,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,[],[f11425,f11352,f11352,f11352]) ).
fof(f19446,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,[],[f11557,f19275]) ).
fof(f19604,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,[],[f11786,f19276,f19276,f19276]) ).
fof(f19605,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,[],[f11787,f19276,f19276]) ).
fof(f19607,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,[],[f11789,f11352,f19276,f19276]) ).
fof(f19613,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(X1)))
| ~ r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f11799,f19276]) ).
fof(f19793,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,[],[f12345,f11352,f11352]) ).
fof(f19868,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,[],[f12676,f19276]) ).
fof(f19905,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,[],[f12756,f19276]) ).
fof(f20366,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,[],[f15214,f19276]) ).
fof(f20434,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,[],[f15305,f19276]) ).
fof(f20437,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,[],[f15308,f19276]) ).
fof(f20438,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,[],[f15310,f19276]) ).
fof(f21760,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,[],[f18564,f19276]) ).
fof(f21801,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v3_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,[],[f18625,f19276]) ).
fof(f21810,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v3_pre_topc(X1,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,f19276,f19276]) ).
fof(f22014,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v3_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,[],[f19132,f19276,f19276]) ).
fof(f22028,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,[],[f19150,f19276]) ).
fof(f22030,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,[],[f19151,f19276]) ).
fof(f22043,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v3_pre_topc(X2,X0)
| sK1375(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,[],[f19198,f11352,f19276]) ).
fof(f22069,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,[],[f19257,f19276,f19276]) ).
fof(f22070,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,[],[f19262,f19276]) ).
fof(f22071,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,[],[f19263,f19276]) ).
fof(f22073,plain,
m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387)))),
inference(definition_unfolding,[],[f19272,f19276]) ).
fof(f22074,plain,
m1_subset_1(sK1389,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK1387)))),
inference(definition_unfolding,[],[f19271,f19276]) ).
fof(f22101,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f11251]) ).
fof(f22706,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,[],[f22028]) ).
fof(f22738,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,[],[f22069]) ).
fof(f22739,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,[],[f22738]) ).
fof(f22740,definition,
sF1391 = k4_tsp_2(sK1387,sK1388),
introduced(definition,[new_symbols(definition,[sF1391])],[function_definition]) ).
fof(f22741,plain,
k4_tsp_2(sK1387,sK1388) = sF1391,
inference(reorient_equations,[],[f22740]) ).
fof(f22742,definition,
sF1392 = u1_struct_0(sK1387),
introduced(definition,[new_symbols(definition,[sF1392])],[function_definition]) ).
fof(f22743,plain,
u1_struct_0(sK1387) = sF1392,
inference(reorient_equations,[],[f22742]) ).
fof(f22744,definition,
sF1393 = k5_subset_1(sF1392,sK1389,sK1390),
introduced(definition,[new_symbols(definition,[sF1393])],[function_definition]) ).
fof(f22745,plain,
k5_subset_1(sF1392,sK1389,sK1390) = sF1393,
inference(reorient_equations,[],[f22744]) ).
fof(f22746,definition,
sF1394 = k4_pre_topc(sK1387,sK1388,sF1391,sF1393),
introduced(definition,[new_symbols(definition,[sF1394])],[function_definition]) ).
fof(f22747,plain,
k4_pre_topc(sK1387,sK1388,sF1391,sF1393) = sF1394,
inference(reorient_equations,[],[f22746]) ).
fof(f22748,definition,
sF1395 = u1_struct_0(sK1388),
introduced(definition,[new_symbols(definition,[sF1395])],[function_definition]) ).
fof(f22749,plain,
u1_struct_0(sK1388) = sF1395,
inference(reorient_equations,[],[f22748]) ).
fof(f22750,definition,
sF1396 = k4_pre_topc(sK1387,sK1388,sF1391,sK1389),
introduced(definition,[new_symbols(definition,[sF1396])],[function_definition]) ).
fof(f22751,plain,
k4_pre_topc(sK1387,sK1388,sF1391,sK1389) = sF1396,
inference(reorient_equations,[],[f22750]) ).
fof(f22752,definition,
sF1397 = k4_pre_topc(sK1387,sK1388,sF1391,sK1390),
introduced(definition,[new_symbols(definition,[sF1397])],[function_definition]) ).
fof(f22753,plain,
k4_pre_topc(sK1387,sK1388,sF1391,sK1390) = sF1397,
inference(reorient_equations,[],[f22752]) ).
fof(f22754,definition,
sF1398 = k5_subset_1(sF1395,sF1396,sF1397),
introduced(definition,[new_symbols(definition,[sF1398])],[function_definition]) ).
fof(f22755,plain,
k5_subset_1(sF1395,sF1396,sF1397) = sF1398,
inference(reorient_equations,[],[f22754]) ).
fof(f22756,plain,
sF1394 != sF1398,
inference(definition_folding,[],[f19274,f22755,f22753,f22741,f22751,f22741,f22749,f22747,f22745,f22743,f22741]) ).
fof(f22757,definition,
sF1399 = k2_pcomps_1(sF1392),
introduced(definition,[new_symbols(definition,[sF1399])],[function_definition]) ).
fof(f22758,plain,
k2_pcomps_1(sF1392) = sF1399,
inference(reorient_equations,[],[f22757]) ).
fof(f22759,definition,
sF1400 = u1_pre_topc(sF1399),
introduced(definition,[new_symbols(definition,[sF1400])],[function_definition]) ).
fof(f22760,plain,
u1_pre_topc(sF1399) = sF1400,
inference(reorient_equations,[],[f22759]) ).
fof(f22761,plain,
m1_subset_1(sK1390,sF1400),
inference(definition_folding,[],[f22073,f22760,f22758,f22743]) ).
fof(f22762,plain,
m1_subset_1(sK1389,sF1400),
inference(definition_folding,[],[f22074,f22760,f22758,f22743]) ).
fof(f22799,definition,
( spl1401_1
<=> v3_pre_topc(sK1390,sK1387) ),
introduced(definition,[new_symbols(definition,[spl1401_1])],[avatar_definition]) ).
fof(f22801,plain,
( v3_pre_topc(sK1390,sK1387)
| ~ spl1401_1 ),
inference(avatar_component_clause,[],[f22799]) ).
fof(f22803,definition,
( spl1401_2
<=> v3_pre_topc(sK1389,sK1387) ),
introduced(definition,[new_symbols(definition,[spl1401_2])],[avatar_definition]) ).
fof(f22805,plain,
( v3_pre_topc(sK1389,sK1387)
| ~ spl1401_2 ),
inference(avatar_component_clause,[],[f22803]) ).
fof(f22806,plain,
( spl1401_1
| spl1401_2 ),
inference(avatar_split_clause,[],[f19273,f22803,f22799]) ).
fof(f22808,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,[],[f22706,f22030]) ).
fof(f24702,plain,
! [X0,X1] : k5_xboole_0(X0,k4_xboole_0(X1,X0)) = k3_tarski(k2_tarski(X0,X1)),
inference(forward_demodulation,[],[f19380,f19446]) ).
fof(f24716,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,[],[f19360,f19446]) ).
fof(f24717,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,[],[f19359,f19446]) ).
fof(f24724,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,[],[f19349,f19446]) ).
fof(f24725,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),X1),
inference(forward_demodulation,[],[f19348,f19446]) ).
fof(f24735,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,[],[f19329,f19356]) ).
fof(f24750,plain,
! [X0] : k1_xboole_0 = k4_xboole_0(X0,X0),
inference(forward_demodulation,[],[f19314,f11294]) ).
fof(f24751,plain,
! [X0] : k3_tarski(k2_tarski(X0,k1_xboole_0)) = X0,
inference(forward_demodulation,[],[f19313,f19446]) ).
fof(f24871,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,[],[f24735,f19356]) ).
fof(f24948,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,[],[f20437,f22747]) ).
fof(f24949,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,[],[f20437,f22751]) ).
fof(f24950,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,[],[f20437,f22753]) ).
fof(f24953,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,[],[f24950,f22749]) ).
fof(f24954,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,[],[f24949,f22749]) ).
fof(f24955,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,[],[f24948,f22749]) ).
fof(f24957,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,[],[f24953,f22749]) ).
fof(f24958,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,[],[f24954,f22749]) ).
fof(f24959,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,[],[f24955,f22749]) ).
fof(f24961,definition,
( spl1401_391
<=> l1_struct_0(sK1387) ),
introduced(definition,[new_symbols(definition,[spl1401_391])],[avatar_definition]) ).
fof(f24962,plain,
( l1_struct_0(sK1387)
| ~ spl1401_391 ),
inference(avatar_component_clause,[],[f24961]) ).
fof(f24963,plain,
( ~ l1_struct_0(sK1387)
| spl1401_391 ),
inference(avatar_component_clause,[],[f24961]) ).
fof(f24968,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,[],[f24957,f22743]) ).
fof(f24969,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,[],[f24958,f22743]) ).
fof(f24970,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,[],[f24959,f22743]) ).
fof(f24971,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,[],[f24968,f22749]) ).
fof(f24972,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,[],[f24969,f22749]) ).
fof(f24973,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,[],[f24970,f22749]) ).
fof(f24974,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,[],[f24971,f22743]) ).
fof(f24975,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,[],[f24972,f22743]) ).
fof(f24976,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,[],[f24973,f22743]) ).
fof(f24978,definition,
( spl1401_393
<=> v1_funct_1(sF1391) ),
introduced(definition,[new_symbols(definition,[spl1401_393])],[avatar_definition]) ).
fof(f24979,plain,
( v1_funct_1(sF1391)
| ~ spl1401_393 ),
inference(avatar_component_clause,[],[f24978]) ).
fof(f24980,plain,
( ~ v1_funct_1(sF1391)
| spl1401_393 ),
inference(avatar_component_clause,[],[f24978]) ).
fof(f24982,definition,
( spl1401_394
<=> l1_struct_0(sK1388) ),
introduced(definition,[new_symbols(definition,[spl1401_394])],[avatar_definition]) ).
fof(f24983,plain,
( l1_struct_0(sK1388)
| ~ spl1401_394 ),
inference(avatar_component_clause,[],[f24982]) ).
fof(f24984,plain,
( ~ l1_struct_0(sK1388)
| spl1401_394 ),
inference(avatar_component_clause,[],[f24982]) ).
fof(f24986,definition,
( spl1401_395
<=> m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_395])],[avatar_definition]) ).
fof(f24988,plain,
( m1_subset_1(sF1397,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_395 ),
inference(avatar_component_clause,[],[f24986]) ).
fof(f24990,definition,
( spl1401_396
<=> v1_funct_2(sF1391,sF1392,sF1395) ),
introduced(definition,[new_symbols(definition,[spl1401_396])],[avatar_definition]) ).
fof(f24991,plain,
( v1_funct_2(sF1391,sF1392,sF1395)
| ~ spl1401_396 ),
inference(avatar_component_clause,[],[f24990]) ).
fof(f24994,definition,
( spl1401_397
<=> m1_relset_1(sF1391,sF1392,sF1395) ),
introduced(definition,[new_symbols(definition,[spl1401_397])],[avatar_definition]) ).
fof(f24995,plain,
( m1_relset_1(sF1391,sF1392,sF1395)
| ~ spl1401_397 ),
inference(avatar_component_clause,[],[f24994]) ).
fof(f24996,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| spl1401_397 ),
inference(avatar_component_clause,[],[f24994]) ).
fof(f24997,plain,
( ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_391
| spl1401_395
| ~ spl1401_396
| ~ spl1401_397 ),
inference(avatar_split_clause,[],[f24974,f24994,f24990,f24986,f24961,f24982,f24978]) ).
fof(f24999,definition,
( spl1401_398
<=> m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_398])],[avatar_definition]) ).
fof(f25001,plain,
( m1_subset_1(sF1396,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_398 ),
inference(avatar_component_clause,[],[f24999]) ).
fof(f25002,plain,
( ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_391
| spl1401_398
| ~ spl1401_396
| ~ spl1401_397 ),
inference(avatar_split_clause,[],[f24975,f24994,f24990,f24999,f24961,f24982,f24978]) ).
fof(f25004,definition,
( spl1401_399
<=> m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_399])],[avatar_definition]) ).
fof(f25006,plain,
( m1_subset_1(sF1394,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_399 ),
inference(avatar_component_clause,[],[f25004]) ).
fof(f25007,plain,
( ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_391
| spl1401_399
| ~ spl1401_396
| ~ spl1401_397 ),
inference(avatar_split_clause,[],[f24976,f24994,f24990,f25004,f24961,f24982,f24978]) ).
fof(f25013,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,sF1392,u1_struct_0(X1))
| ~ l1_struct_0(sK1387)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X2) = k4_pre_topc(sK1387,X1,X0,X2)
| ~ m1_relset_1(X0,sF1392,u1_struct_0(X1)) ),
inference(superposition,[],[f15309,f22743]) ).
fof(f25018,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,[],[f22808,f22749]) ).
fof(f25020,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,[],[f19604,f22755]) ).
fof(f25021,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,[],[f19604,f22745]) ).
fof(f25022,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,[],[f19604,f22758]) ).
fof(f25023,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,[],[f25022,f22760]) ).
fof(f25024,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,[],[f25021,f22758]) ).
fof(f25026,definition,
( spl1401_401
<=> m1_subset_1(sF1398,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_401])],[avatar_definition]) ).
fof(f25028,plain,
( m1_subset_1(sF1398,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_401 ),
inference(avatar_component_clause,[],[f25026]) ).
fof(f25029,plain,
( ~ spl1401_395
| ~ spl1401_398
| spl1401_401 ),
inference(avatar_split_clause,[],[f25020,f25026,f24999,f24986]) ).
fof(f25030,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,[],[f25023,f22760]) ).
fof(f25031,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,[],[f25024,f22760]) ).
fof(f25032,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,[],[f25030,f22760]) ).
fof(f25033,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,[],[f25031,f22758]) ).
fof(f25034,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,[],[f25033,f22760]) ).
fof(f25035,plain,
( m1_subset_1(sF1393,sF1400)
| ~ m1_subset_1(sK1390,u1_pre_topc(k2_pcomps_1(sF1392))) ),
inference(forward_subsumption_resolution,[],[f25034,f22762]) ).
fof(f25036,plain,
( ~ m1_subset_1(sK1390,u1_pre_topc(sF1399))
| m1_subset_1(sF1393,sF1400) ),
inference(forward_demodulation,[],[f25035,f22758]) ).
fof(f25037,plain,
( ~ m1_subset_1(sK1390,sF1400)
| m1_subset_1(sF1393,sF1400) ),
inference(forward_demodulation,[],[f25036,f22760]) ).
fof(f25038,plain,
m1_subset_1(sF1393,sF1400),
inference(forward_subsumption_resolution,[],[f25037,f22761]) ).
fof(f25040,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,[],[f19097,f22741]) ).
fof(f25047,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,[],[f19605,f22758]) ).
fof(f25048,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,[],[f25047,f22760]) ).
fof(f25049,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,[],[f25048,f22760]) ).
fof(f25050,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sK1390) = k5_subset_1(sF1392,sK1390,X0) ),
inference(resolution,[],[f25049,f22761]) ).
fof(f25051,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sK1389) = k5_subset_1(sF1392,sK1389,X0) ),
inference(resolution,[],[f25049,f22762]) ).
fof(f25054,plain,
k5_subset_1(sF1392,sK1389,sK1390) = k5_subset_1(sF1392,sK1390,sK1389),
inference(resolution,[],[f25050,f22762]) ).
fof(f25056,plain,
sF1393 = k5_subset_1(sF1392,sK1390,sK1389),
inference(forward_demodulation,[],[f25054,f22745]) ).
fof(f25076,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,[],[f22739,f22743]) ).
fof(f25081,plain,
( m1_pre_topc(sK1388,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(resolution,[],[f19075,f19268]) ).
fof(f25082,plain,
m1_pre_topc(sK1388,sK1387),
inference(forward_subsumption_resolution,[],[f25081,f19265]) ).
fof(f25086,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,[],[f22030,f22743]) ).
fof(f25089,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,[],[f25086,f19267]) ).
fof(f25093,definition,
( spl1401_402
<=> l1_pre_topc(sK1388) ),
introduced(definition,[new_symbols(definition,[spl1401_402])],[avatar_definition]) ).
fof(f25094,plain,
( l1_pre_topc(sK1388)
| ~ spl1401_402 ),
inference(avatar_component_clause,[],[f25093]) ).
fof(f25095,plain,
( ~ l1_pre_topc(sK1388)
| spl1401_402 ),
inference(avatar_component_clause,[],[f25093]) ).
fof(f25100,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,[],[f25089,f19265]) ).
fof(f25101,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(sF1399))
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_demodulation,[],[f25100,f22758]) ).
fof(f25102,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),sF1400)
| ~ m2_tsp_1(X0,sK1387) ),
inference(forward_demodulation,[],[f25101,f22760]) ).
fof(f25111,plain,
( m1_subset_1(sF1395,sF1400)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(superposition,[],[f25102,f22749]) ).
fof(f25112,plain,
m1_subset_1(sF1395,sF1400),
inference(forward_subsumption_resolution,[],[f25111,f19268]) ).
fof(f25118,definition,
( spl1401_405
<=> m1_subset_1(sF1392,sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_405])],[avatar_definition]) ).
fof(f25120,plain,
( m1_subset_1(sF1392,sF1400)
| ~ spl1401_405 ),
inference(avatar_component_clause,[],[f25118]) ).
fof(f25122,plain,
k5_subset_1(sF1392,sF1395,sK1389) = k5_subset_1(sF1392,sK1389,sF1395),
inference(resolution,[],[f25112,f25051]) ).
fof(f25123,plain,
k5_subset_1(sF1392,sF1395,sK1390) = k5_subset_1(sF1392,sK1390,sF1395),
inference(resolution,[],[f25112,f25050]) ).
fof(f25124,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sF1395) = k5_subset_1(sF1392,sF1395,X0) ),
inference(resolution,[],[f25112,f25049]) ).
fof(f25125,plain,
( v1_tsp_2(sF1395,sK1387)
| ~ m2_tsp_1(sK1388,sK1387)
| v3_struct_0(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(resolution,[],[f25018,f19269]) ).
fof(f25126,plain,
( v1_tsp_2(sF1395,sK1387)
| v3_struct_0(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25125,f19268]) ).
fof(f25127,plain,
( v1_tsp_2(sF1395,sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25126,f19267]) ).
fof(f25128,plain,
v1_tsp_2(sF1395,sK1387),
inference(forward_subsumption_resolution,[],[f25127,f19265]) ).
fof(f25132,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,[],[f20366,f22743]) ).
fof(f25133,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,[],[f20366,f22749]) ).
fof(f25139,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,[],[f22071,f22743]) ).
fof(f25142,plain,
l1_struct_0(sK1387),
inference(resolution,[],[f15301,f19265]) ).
fof(f25143,plain,
( $false
| spl1401_391 ),
inference(forward_subsumption_resolution,[],[f25142,f24963]) ).
fof(f25144,plain,
spl1401_391,
inference(avatar_contradiction_clause,[],[f25143]) ).
fof(f25146,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,sF1392,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X0)
| k9_relat_1(X0,X2) = k4_pre_topc(sK1387,X1,X0,X2)
| ~ m1_relset_1(X0,sF1392,u1_struct_0(X1)) )
| ~ spl1401_391 ),
inference(forward_subsumption_resolution,[],[f25013,f24962]) ).
fof(f25147,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| k5_subset_1(sF1392,X0,k2_pre_topc(sK1387)) = X0 )
| ~ spl1401_391 ),
inference(forward_subsumption_resolution,[],[f25132,f24962]) ).
fof(f25148,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| k5_subset_1(sF1392,X0,k2_pre_topc(sK1387)) = X0 )
| ~ spl1401_391 ),
inference(forward_demodulation,[],[f25147,f22758]) ).
fof(f25149,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,k2_pre_topc(sK1387)) = X0 )
| ~ spl1401_391 ),
inference(forward_demodulation,[],[f25148,f22760]) ).
fof(f25152,plain,
( sK1389 = k5_subset_1(sF1392,sK1389,k2_pre_topc(sK1387))
| ~ spl1401_391 ),
inference(resolution,[],[f25149,f22762]) ).
fof(f25153,plain,
( sK1390 = k5_subset_1(sF1392,sK1390,k2_pre_topc(sK1387))
| ~ spl1401_391 ),
inference(resolution,[],[f25149,f22761]) ).
fof(f25155,plain,
( sF1395 = k5_subset_1(sF1392,sF1395,k2_pre_topc(sK1387))
| ~ spl1401_391 ),
inference(resolution,[],[f25149,f25112]) ).
fof(f25160,plain,
( l1_pre_topc(sK1388)
| ~ l1_pre_topc(sK1387) ),
inference(resolution,[],[f19073,f19268]) ).
fof(f25161,plain,
( ~ l1_pre_topc(sK1387)
| spl1401_402 ),
inference(forward_subsumption_resolution,[],[f25160,f25095]) ).
fof(f25162,plain,
( $false
| spl1401_402 ),
inference(forward_subsumption_resolution,[],[f25161,f19265]) ).
fof(f25163,plain,
spl1401_402,
inference(avatar_contradiction_clause,[],[f25162]) ).
fof(f25164,plain,
( l1_struct_0(sK1388)
| ~ spl1401_402 ),
inference(resolution,[],[f25094,f15301]) ).
fof(f25165,plain,
( $false
| spl1401_394
| ~ spl1401_402 ),
inference(forward_subsumption_resolution,[],[f25164,f24984]) ).
fof(f25166,plain,
( spl1401_394
| ~ spl1401_402 ),
inference(avatar_contradiction_clause,[],[f25165]) ).
fof(f25169,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k5_subset_1(sF1395,X0,k2_pre_topc(sK1388)) = X0 )
| ~ spl1401_394 ),
inference(forward_subsumption_resolution,[],[f25133,f24983]) ).
fof(f25170,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,[],[f19095,f22741]) ).
fof(f25197,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,[],[f19096,f22741]) ).
fof(f25204,plain,
( u1_struct_0(sK1387) = k2_pre_topc(sK1387)
| ~ spl1401_391 ),
inference(resolution,[],[f15211,f24962]) ).
fof(f25205,plain,
( u1_struct_0(sK1388) = k2_pre_topc(sK1388)
| ~ spl1401_394 ),
inference(resolution,[],[f15211,f24983]) ).
fof(f25206,plain,
( sF1395 = k2_pre_topc(sK1388)
| ~ spl1401_394 ),
inference(forward_demodulation,[],[f25205,f22749]) ).
fof(f25207,plain,
( sF1392 = k2_pre_topc(sK1387)
| ~ spl1401_391 ),
inference(forward_demodulation,[],[f25204,f22743]) ).
fof(f25208,plain,
( sK1390 = k5_subset_1(sF1392,sK1390,sF1392)
| ~ spl1401_391 ),
inference(superposition,[],[f25153,f25207]) ).
fof(f25209,plain,
( sK1389 = k5_subset_1(sF1392,sK1389,sF1392)
| ~ spl1401_391 ),
inference(superposition,[],[f25152,f25207]) ).
fof(f25210,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,[],[f19098,f22741]) ).
fof(f25234,definition,
( spl1401_409
<=> m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1395))) ),
introduced(definition,[new_symbols(definition,[spl1401_409])],[avatar_definition]) ).
fof(f25236,plain,
( m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_409 ),
inference(avatar_component_clause,[],[f25234]) ).
fof(f25242,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,[],[f19607,f22030]) ).
fof(f25247,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,[],[f19607,f22758]) ).
fof(f25248,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,[],[f25247,f22760]) ).
fof(f25249,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,[],[f25248,f22760]) ).
fof(f25252,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sK1389,X0) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,X0)) ),
inference(resolution,[],[f25249,f22762]) ).
fof(f25253,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sK1390,X0) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,X0)) ),
inference(resolution,[],[f25249,f22761]) ).
fof(f25255,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sF1395,X0) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,X0)) ),
inference(resolution,[],[f25249,f25112]) ).
fof(f25261,plain,
k5_subset_1(sF1392,sK1390,sF1395) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)),
inference(resolution,[],[f25253,f25112]) ).
fof(f25262,plain,
k5_subset_1(sF1392,sF1395,sK1390) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)),
inference(forward_demodulation,[],[f25261,f25123]) ).
fof(f25271,plain,
k5_subset_1(sF1392,sK1389,sF1395) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)),
inference(resolution,[],[f25252,f25112]) ).
fof(f25272,plain,
k5_subset_1(sF1392,sF1395,sK1389) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)),
inference(forward_demodulation,[],[f25271,f25122]) ).
fof(f25277,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,sF1392,sF1395)
| ~ l1_struct_0(sK1388)
| ~ 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,[],[f25146,f22749]) ).
fof(f25278,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_394 ),
inference(forward_subsumption_resolution,[],[f25277,f24983]) ).
fof(f25346,plain,
( sF1395 = k5_subset_1(sF1392,sF1395,sF1392)
| ~ spl1401_391 ),
inference(superposition,[],[f25155,f25207]) ).
fof(f25382,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1),
inference(superposition,[],[f11339,f19311]) ).
fof(f25482,plain,
r1_tarski(k5_subset_1(sF1392,sF1395,sK1390),sK1390),
inference(superposition,[],[f11339,f25262]) ).
fof(f25501,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| v3_struct_0(sK1387)
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(superposition,[],[f21801,f22743]) ).
fof(f25522,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X0,sK1387)
| sK1375(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,[],[f22043,f22743]) ).
fof(f25600,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f19905,f19868]) ).
fof(f25729,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,[],[f19343,f11339]) ).
fof(f26049,plain,
! [X0] :
( m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ r1_tarski(X0,sF1392) ),
inference(superposition,[],[f19613,f22758]) ).
fof(f26050,plain,
! [X0] :
( ~ r1_tarski(X0,sF1392)
| m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f26049,f22760]) ).
fof(f26120,plain,
m1_subset_1(sF1392,sF1400),
inference(resolution,[],[f26050,f22101]) ).
fof(f26126,plain,
spl1401_405,
inference(avatar_split_clause,[],[f26120,f25118]) ).
fof(f26128,plain,
( k5_subset_1(sF1392,sK1390,sF1392) = k5_subset_1(sF1392,sF1392,sK1390)
| ~ spl1401_405 ),
inference(resolution,[],[f25120,f25050]) ).
fof(f26129,plain,
( k5_subset_1(sF1392,sK1389,sF1392) = k5_subset_1(sF1392,sF1392,sK1389)
| ~ spl1401_405 ),
inference(resolution,[],[f25120,f25051]) ).
fof(f26131,plain,
( k5_subset_1(sF1392,sF1395,sF1392) = k5_subset_1(sF1392,sF1392,sF1395)
| ~ spl1401_405 ),
inference(resolution,[],[f25120,f25124]) ).
fof(f26133,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,[],[f25120,f25249]) ).
fof(f26151,plain,
( sF1395 = k5_subset_1(sF1392,sF1392,sF1395)
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26131,f25346]) ).
fof(f26153,plain,
( sK1389 = k5_subset_1(sF1392,sF1392,sK1389)
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26129,f25209]) ).
fof(f26154,plain,
( sK1390 = k5_subset_1(sF1392,sF1392,sK1390)
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26128,f25208]) ).
fof(f26180,plain,
( k5_subset_1(sF1392,sF1392,sK1389) = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1389))
| ~ spl1401_405 ),
inference(resolution,[],[f26133,f22762]) ).
fof(f26181,plain,
( k5_subset_1(sF1392,sF1392,sK1390) = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1390))
| ~ spl1401_405 ),
inference(resolution,[],[f26133,f22761]) ).
fof(f26184,plain,
( k5_subset_1(sF1392,sF1392,sF1395) = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sF1395))
| ~ spl1401_405 ),
inference(resolution,[],[f26133,f25112]) ).
fof(f26185,plain,
( sF1395 = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sF1395))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26184,f26151]) ).
fof(f26188,plain,
( sK1390 = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1390))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26181,f26154]) ).
fof(f26189,plain,
( sK1389 = k4_xboole_0(sF1392,k4_xboole_0(sF1392,sK1389))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f26180,f26153]) ).
fof(f26420,plain,
! [X0] : k3_tarski(k2_tarski(k4_xboole_0(X0,X0),X0)) = k5_xboole_0(k4_xboole_0(X0,X0),X0),
inference(superposition,[],[f24702,f19312]) ).
fof(f26442,plain,
! [X0] : k3_tarski(k2_tarski(k1_xboole_0,X0)) = k5_xboole_0(k1_xboole_0,X0),
inference(forward_demodulation,[],[f26420,f24750]) ).
fof(f26492,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,[],[f22070,f22743]) ).
fof(f26678,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,[],[f19389,f19311]) ).
fof(f26700,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,[],[f19389,f19312]) ).
fof(f26709,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_391
| ~ spl1401_405 ),
inference(superposition,[],[f19389,f26189]) ).
fof(f26710,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_391
| ~ spl1401_405 ),
inference(superposition,[],[f19389,f26188]) ).
fof(f26741,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,[],[f19389,f19311]) ).
fof(f26790,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,[],[f26741,f19356]) ).
fof(f26818,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X0))),
inference(forward_demodulation,[],[f26700,f25729]) ).
fof(f26840,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,[],[f26678,f24716]) ).
fof(f26856,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,[],[f26790,f19355]) ).
fof(f26888,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,[],[f26840,f24724]) ).
fof(f26922,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,[],[f26888,f26818]) ).
fof(f26952,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,[],[f26922,f26818]) ).
fof(f28069,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_391
| ~ spl1401_405 ),
inference(superposition,[],[f26710,f19311]) ).
fof(f28104,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28069,f19356]) ).
fof(f28118,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28104,f19356]) ).
fof(f28129,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28118,f24871]) ).
fof(f28134,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28129,f26188]) ).
fof(f28138,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,sK1390)) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,X0))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28134,f26818]) ).
fof(f28433,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_391
| ~ spl1401_405 ),
inference(superposition,[],[f26709,f19311]) ).
fof(f28470,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28433,f19356]) ).
fof(f28485,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28470,f19356]) ).
fof(f28496,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28485,f24871]) ).
fof(f28501,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28496,f26189]) ).
fof(f28505,plain,
( ! [X0] : k4_xboole_0(X0,k4_xboole_0(X0,sK1389)) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,X0))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f28501,f26818]) ).
fof(f28585,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X1,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,[],[f21810,f22743]) ).
fof(f29176,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,[],[f24717,f24750]) ).
fof(f29252,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,[],[f24717,f19311]) ).
fof(f29319,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,[],[f24717,f19311]) ).
fof(f29320,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = k3_tarski(k2_tarski(k4_xboole_0(X0,X1),X0)),
inference(superposition,[],[f24717,f19312]) ).
fof(f29417,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,[],[f29252,f26818]) ).
fof(f29476,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,[],[f29176,f26442]) ).
fof(f33534,plain,
! [X0,X1] : k4_xboole_0(X1,X0) = k5_xboole_0(X1,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(superposition,[],[f19281,f19311]) ).
fof(f33990,plain,
( ! [X0] : k4_xboole_0(sK1390,k4_xboole_0(sK1390,X0)) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,X0))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(superposition,[],[f19311,f28138]) ).
fof(f34381,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_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,[],[f22014,f22743]) ).
fof(f34430,plain,
( ! [X0] : k4_xboole_0(sK1389,k4_xboole_0(sK1389,X0)) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,X0))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(superposition,[],[f19311,f28505]) ).
fof(f35912,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,[],[f33534,f19311]) ).
fof(f36043,plain,
( k4_xboole_0(sF1395,sF1392) = k5_xboole_0(sF1395,sF1395)
| ~ spl1401_391
| ~ spl1401_405 ),
inference(superposition,[],[f33534,f26185]) ).
fof(f36061,plain,
( k1_xboole_0 = k4_xboole_0(sF1395,sF1392)
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f36043,f11400]) ).
fof(f36165,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,[],[f35912,f26818]) ).
fof(f36241,plain,
! [X0,X1] : k1_xboole_0 = k4_xboole_0(k4_xboole_0(X1,X0),X1),
inference(forward_demodulation,[],[f36165,f11400]) ).
fof(f36420,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_391
| ~ spl1401_405 ),
inference(superposition,[],[f24717,f36061]) ).
fof(f36435,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f36420,f26442]) ).
fof(f36445,plain,
( ! [X0] : k4_xboole_0(sF1395,k4_xboole_0(sF1395,X0)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,X0))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f36435,f29476]) ).
fof(f38194,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,[],[f21760,f22743]) ).
fof(f38209,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,[],[f38194,f19267]) ).
fof(f38215,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,[],[f38209,f19265]) ).
fof(f38216,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| r1_tarski(X0,k3_tex_4(sK1387,X0)) ),
inference(forward_demodulation,[],[f38215,f22758]) ).
fof(f38217,plain,
! [X0] :
( r1_tarski(X0,k3_tex_4(sK1387,X0))
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f38216,f22760]) ).
fof(f38218,plain,
! [X0,X1] :
( r1_tarski(X1,k3_tex_4(sK1387,X0))
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X0,sF1400) ),
inference(resolution,[],[f38217,f11300]) ).
fof(f39163,plain,
( m1_subset_1(k2_pre_topc(sK1388),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ l1_struct_0(sK1388) ),
inference(superposition,[],[f20434,f22749]) ).
fof(f39167,plain,
( m1_subset_1(k2_pre_topc(sK1388),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_394 ),
inference(forward_subsumption_resolution,[],[f39163,f24983]) ).
fof(f39182,plain,
( m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_394 ),
inference(forward_demodulation,[],[f39167,f25206]) ).
fof(f39186,plain,
( spl1401_409
| ~ spl1401_394 ),
inference(avatar_split_clause,[],[f39182,f24982,f25234]) ).
fof(f39203,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,[],[f25236,f19605]) ).
fof(f39205,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,[],[f25236,f19607]) ).
fof(f39380,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,[],[f25242,f22743]) ).
fof(f39394,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,[],[f39380,f19267]) ).
fof(f39401,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,[],[f39394,f19265]) ).
fof(f39402,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,[],[f39401,f22758]) ).
fof(f39403,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,[],[f39402,f22760]) ).
fof(f39404,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,[],[f39403,f19268]) ).
fof(f39405,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,[],[f39404,f22749]) ).
fof(f39614,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,[],[f19311,f24725]) ).
fof(f39651,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,[],[f39614,f24724]) ).
fof(f39674,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,[],[f39651,f36241]) ).
fof(f39688,plain,
! [X0,X1] : k4_xboole_0(k3_tarski(k2_tarski(X0,X1)),k4_xboole_0(X0,X1)) = X1,
inference(forward_demodulation,[],[f39674,f11294]) ).
fof(f39801,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,[],[f39688,f29320]) ).
fof(f40064,plain,
! [X0,X1] : k4_xboole_0(k4_xboole_0(X0,k4_xboole_0(X1,X0)),k1_xboole_0) = X0,
inference(forward_demodulation,[],[f39801,f36241]) ).
fof(f40125,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = X0,
inference(forward_demodulation,[],[f40064,f11294]) ).
fof(f40334,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,[],[f29319,f40125]) ).
fof(f40467,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,[],[f40334,f24750]) ).
fof(f40543,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,[],[f40467,f24751]) ).
fof(f44103,plain,
k4_xboole_0(sF1395,sK1389) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sF1395,sK1389)),
inference(superposition,[],[f26818,f25272]) ).
fof(f44108,plain,
k4_xboole_0(sF1395,sK1390) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sF1395,sK1390)),
inference(superposition,[],[f26818,f25262]) ).
fof(f45576,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,[],[f26856,f26952]) ).
fof(f45688,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,[],[f45576,f40543]) ).
fof(f46942,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_391
| ~ spl1401_405 ),
inference(superposition,[],[f36445,f19311]) ).
fof(f46985,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_391
| ~ spl1401_405 ),
inference(superposition,[],[f24717,f36445]) ).
fof(f47008,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_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f46985,f24717]) ).
fof(f47027,plain,
( ! [X0] : k4_xboole_0(sF1395,X0) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(sF1395,X0)))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f46942,f26818]) ).
fof(f47061,plain,
( ! [X0] : k4_xboole_0(sF1395,X0) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k4_xboole_0(sF1392,X0)))
| ~ spl1401_391
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f47027,f47008]) ).
fof(f52787,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,[],[f25040,f19267]) ).
fof(f52793,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,[],[f25076,f19267]) ).
fof(f52794,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,[],[f25139,f19267]) ).
fof(f52800,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,[],[f25170,f19267]) ).
fof(f52804,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,[],[f25197,f19267]) ).
fof(f52805,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_393 ),
inference(forward_subsumption_resolution,[],[f25210,f24980]) ).
fof(f52816,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f25501,f19267]) ).
fof(f52818,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X0,sK1387)
| sK1375(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,[],[f25522,f19267]) ).
fof(f52848,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,[],[f26492,f19267]) ).
fof(f52860,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X1,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,[],[f28585,f19267]) ).
fof(f52956,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_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,[],[f34381,f19267]) ).
fof(f53041,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,[],[f52787,f19266]) ).
fof(f53045,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,[],[f52793,f19266]) ).
fof(f53046,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,[],[f52794,f19266]) ).
fof(f53049,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,[],[f52800,f19266]) ).
fof(f53051,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,[],[f52804,f19266]) ).
fof(f53052,plain,
( ~ v2_pre_topc(sK1387)
| ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_393 ),
inference(forward_subsumption_resolution,[],[f52805,f19267]) ).
fof(f53059,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ l1_pre_topc(sK1387) ),
inference(forward_subsumption_resolution,[],[f52816,f19266]) ).
fof(f53060,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X0,sK1387)
| sK1375(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,[],[f52818,f19266]) ).
fof(f53074,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,[],[f52848,f19266]) ).
fof(f53079,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X1,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,[],[f52860,f19266]) ).
fof(f53143,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_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,[],[f52956,f19266]) ).
fof(f53200,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,[],[f53041,f19265]) ).
fof(f53204,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,[],[f53045,f19265]) ).
fof(f53205,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,[],[f53046,f19265]) ).
fof(f53211,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,[],[f53049,f19265]) ).
fof(f53213,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,[],[f53051,f19265]) ).
fof(f53214,plain,
( ~ l1_pre_topc(sK1387)
| v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_393 ),
inference(forward_subsumption_resolution,[],[f53052,f19266]) ).
fof(f53227,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f53059,f19265]) ).
fof(f53228,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X0,sK1387)
| sK1375(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,[],[f53060,f19265]) ).
fof(f53244,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,[],[f53074,f19265]) ).
fof(f53252,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_pre_topc(X1,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,[],[f53079,f19265]) ).
fof(f53288,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ v3_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,[],[f53143,f19265]) ).
fof(f53313,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,[],[f53200,f19270]) ).
fof(f53314,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,[],[f53204,f22758]) ).
fof(f53315,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,[],[f53205,f22758]) ).
fof(f53316,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,[],[f53211,f19270]) ).
fof(f53317,plain,
( v5_pre_topc(sF1391,sK1387,sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f53213,f19270]) ).
fof(f53318,plain,
( v3_struct_0(sK1388)
| ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_393 ),
inference(forward_subsumption_resolution,[],[f53214,f19265]) ).
fof(f53322,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0 ),
inference(forward_demodulation,[],[f53227,f22758]) ).
fof(f53323,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v3_pre_topc(X0,sK1387)
| sK1375(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,[],[f53228,f22758]) ).
fof(f53334,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,[],[f53244,f22758]) ).
fof(f53336,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v3_pre_topc(X1,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,[],[f53252,f22758]) ).
fof(f53346,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_pre_topc(sF1399))
| ~ v3_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,[],[f53288,f22758]) ).
fof(f53355,plain,
( v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f53313,f19269]) ).
fof(f53356,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,[],[f53314,f22760]) ).
fof(f53357,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,[],[f53315,f22760]) ).
fof(f53358,plain,
( m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f53316,f19269]) ).
fof(f53359,plain,
( v5_pre_topc(sF1391,sK1387,sK1388)
| ~ m1_pre_topc(sK1388,sK1387) ),
inference(forward_subsumption_resolution,[],[f53317,f19269]) ).
fof(f53360,plain,
( ~ v2_tsp_2(sK1388,sK1387)
| ~ m1_pre_topc(sK1388,sK1387)
| spl1401_393 ),
inference(forward_subsumption_resolution,[],[f53318,f19270]) ).
fof(f53363,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0 ),
inference(forward_demodulation,[],[f53322,f22760]) ).
fof(f53364,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK1387)
| ~ v3_pre_topc(X0,sK1387)
| sK1375(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,[],[f53323,f22760]) ).
fof(f53369,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,[],[f53334,f22760]) ).
fof(f53371,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1400)
| ~ v3_pre_topc(X1,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,[],[f53336,f22760]) ).
fof(f53376,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF1400)
| ~ v3_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,[],[f53346,f22760]) ).
fof(f53382,plain,
v1_funct_2(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)),
inference(forward_subsumption_resolution,[],[f53355,f25082]) ).
fof(f53383,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,[],[f53356,f22758]) ).
fof(f53384,plain,
m2_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388)),
inference(forward_subsumption_resolution,[],[f53358,f25082]) ).
fof(f53385,plain,
v5_pre_topc(sF1391,sK1387,sK1388),
inference(forward_subsumption_resolution,[],[f53359,f25082]) ).
fof(f53386,plain,
( ~ m1_pre_topc(sK1388,sK1387)
| spl1401_393 ),
inference(forward_subsumption_resolution,[],[f53360,f19269]) ).
fof(f53391,definition,
( spl1401_596
<=> ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,X0) = X0
| ~ v3_pre_topc(X0,sK1387) ) ),
introduced(definition,[new_symbols(definition,[spl1401_596])],[avatar_definition]) ).
fof(f53392,plain,
( ! [X0] :
( ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,X0) = X0
| ~ m1_subset_1(X0,sF1400) )
| ~ spl1401_596 ),
inference(avatar_component_clause,[],[f53391]) ).
fof(f53394,plain,
spl1401_596,
inference(avatar_split_clause,[],[f53363,f53391]) ).
fof(f53397,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| ~ m1_subset_1(X0,sF1400)
| ~ v3_pre_topc(X1,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,[],[f53371,f22758]) ).
fof(f53403,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_pre_topc(sF1399))
| ~ m1_subset_1(X0,sF1400)
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ v1_tsp_2(X1,sK1387) ),
inference(forward_demodulation,[],[f53376,f22758]) ).
fof(f53406,plain,
v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395),
inference(forward_demodulation,[],[f53382,f22749]) ).
fof(f53407,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,[],[f53383,f22760]) ).
fof(f53408,plain,
m2_relset_1(sF1391,u1_struct_0(sK1387),sF1395),
inference(forward_demodulation,[],[f53384,f22749]) ).
fof(f53409,plain,
( $false
| spl1401_393 ),
inference(forward_subsumption_resolution,[],[f53386,f25082]) ).
fof(f53410,plain,
spl1401_393,
inference(avatar_contradiction_clause,[],[f53409]) ).
fof(f53412,plain,
! [X0,X1] :
( ~ v3_pre_topc(X1,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,[],[f53397,f22760]) ).
fof(f53413,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,sK1387)
| ~ m1_subset_1(X0,sF1400)
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,X1,X0)) = X0
| ~ m1_subset_1(X1,sF1400) ),
inference(forward_demodulation,[],[f53403,f22760]) ).
fof(f53415,plain,
v1_funct_2(sF1391,sF1392,sF1395),
inference(forward_demodulation,[],[f53406,f22743]) ).
fof(f53416,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,[],[f53407,f25102]) ).
fof(f53417,plain,
m2_relset_1(sF1391,sF1392,sF1395),
inference(forward_demodulation,[],[f53408,f22743]) ).
fof(f53418,plain,
spl1401_396,
inference(avatar_split_clause,[],[f53415,f24990]) ).
fof(f53450,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1400)
| ~ v3_pre_topc(X0,sK1387)
| k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,X0)) = X0
| ~ m1_subset_1(sF1395,sF1400) ),
inference(resolution,[],[f53413,f25128]) ).
fof(f53451,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK1387)
| ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f53450,f25112]) ).
fof(f53531,plain,
v1_relat_1(sF1391),
inference(resolution,[],[f53417,f25600]) ).
fof(f53532,plain,
m1_relset_1(sF1391,sF1392,sF1395),
inference(resolution,[],[f53417,f12758]) ).
fof(f53533,plain,
( $false
| spl1401_397 ),
inference(forward_subsumption_resolution,[],[f53532,f24996]) ).
fof(f53534,plain,
spl1401_397,
inference(avatar_contradiction_clause,[],[f53533]) ).
fof(f53558,plain,
( sF1394 = k5_subset_1(sF1395,sF1394,k2_pre_topc(sK1388))
| ~ spl1401_394
| ~ spl1401_399 ),
inference(resolution,[],[f25006,f25169]) ).
fof(f53572,plain,
( k5_subset_1(sF1395,sF1394,sF1395) = k5_subset_1(sF1395,sF1395,sF1394)
| ~ spl1401_399
| ~ spl1401_409 ),
inference(resolution,[],[f25006,f39203]) ).
fof(f53573,plain,
( k5_subset_1(sF1395,sF1394,sF1395) = k4_xboole_0(sF1394,k4_xboole_0(sF1394,sF1395))
| ~ spl1401_399
| ~ spl1401_409 ),
inference(resolution,[],[f25006,f39205]) ).
fof(f53618,plain,
( sF1394 = k5_subset_1(sF1395,sF1394,sF1395)
| ~ spl1401_394
| ~ spl1401_399 ),
inference(forward_demodulation,[],[f53558,f25206]) ).
fof(f53642,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_398 ),
inference(resolution,[],[f25001,f19605]) ).
fof(f53644,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_398 ),
inference(resolution,[],[f25001,f19607]) ).
fof(f53747,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,[],[f53357,f19269]) ).
fof(f53748,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,[],[f53747,f19270]) ).
fof(f53749,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,[],[f53748,f19268]) ).
fof(f53750,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,[],[f53749,f22741]) ).
fof(f53761,plain,
k4_pre_topc(sK1387,sK1388,sF1391,sK1389) = k4_pre_topc(sK1387,sK1388,sF1391,k3_tex_4(sK1387,sK1389)),
inference(resolution,[],[f53750,f22762]) ).
fof(f53768,plain,
sF1396 = k4_pre_topc(sK1387,sK1388,sF1391,k3_tex_4(sK1387,sK1389)),
inference(forward_demodulation,[],[f53761,f22751]) ).
fof(f53790,plain,
( sK1389 = k3_tex_4(sK1387,sK1389)
| ~ m1_subset_1(sK1389,sF1400)
| ~ spl1401_2
| ~ spl1401_596 ),
inference(resolution,[],[f53392,f22805]) ).
fof(f53796,plain,
( sK1389 = k3_tex_4(sK1387,sK1389)
| ~ spl1401_2
| ~ spl1401_596 ),
inference(forward_subsumption_resolution,[],[f53790,f22762]) ).
fof(f53813,plain,
( sF1398 = k5_subset_1(sF1395,sF1398,k2_pre_topc(sK1388))
| ~ spl1401_394
| ~ spl1401_401 ),
inference(resolution,[],[f25028,f25169]) ).
fof(f53827,plain,
( k5_subset_1(sF1395,sF1398,sF1395) = k5_subset_1(sF1395,sF1395,sF1398)
| ~ spl1401_401
| ~ spl1401_409 ),
inference(resolution,[],[f25028,f39203]) ).
fof(f53828,plain,
( k5_subset_1(sF1395,sF1398,sF1395) = k4_xboole_0(sF1398,k4_xboole_0(sF1398,sF1395))
| ~ spl1401_401
| ~ spl1401_409 ),
inference(resolution,[],[f25028,f39205]) ).
fof(f53836,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(sF1395)))
| k5_subset_1(sF1395,X0,sF1398) = k5_subset_1(sF1395,sF1398,X0) )
| ~ spl1401_401 ),
inference(resolution,[],[f25028,f19605]) ).
fof(f53869,plain,
( sF1398 = k5_subset_1(sF1395,sF1398,sF1395)
| ~ spl1401_394
| ~ spl1401_401 ),
inference(forward_demodulation,[],[f53813,f25206]) ).
fof(f53870,plain,
( sF1398 = k5_subset_1(sF1395,sF1395,sF1398)
| ~ spl1401_394
| ~ spl1401_401
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f53869,f53827]) ).
fof(f53872,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_394
| ~ spl1401_396 ),
inference(resolution,[],[f24991,f25278]) ).
fof(f53874,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_394
| ~ spl1401_396 ),
inference(forward_subsumption_resolution,[],[f53872,f24979]) ).
fof(f53876,plain,
( ! [X0] : k4_pre_topc(sK1387,sK1388,sF1391,X0) = k9_relat_1(sF1391,X0)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f53874,f24995]) ).
fof(f53886,plain,
( sF1396 = k9_relat_1(sF1391,k3_tex_4(sK1387,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f53768,f53876]) ).
fof(f53888,plain,
( sF1396 = k9_relat_1(sF1391,sK1389)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f22751,f53876]) ).
fof(f53889,plain,
( sF1397 = k9_relat_1(sF1391,sK1390)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f22753,f53876]) ).
fof(f53890,plain,
( sF1394 = k9_relat_1(sF1391,sF1393)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f22747,f53876]) ).
fof(f53892,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f20437,f53876]) ).
fof(f53894,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f53892,f24962]) ).
fof(f53898,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f53894,f24983]) ).
fof(f53900,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f53898,f24979]) ).
fof(f53902,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f53900,f22749]) ).
fof(f53904,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f53902,f22749]) ).
fof(f53906,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f53904,f22743]) ).
fof(f53908,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f53906,f24991]) ).
fof(f53910,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f53908,f22749]) ).
fof(f53912,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f53910,f22743]) ).
fof(f53914,plain,
( ! [X0] : m1_subset_1(k9_relat_1(sF1391,X0),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f53912,f24995]) ).
fof(f53931,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(sK1388))) = sK1375(sK1388,X0)
| ~ m1_subset_1(X0,sF1400)
| ~ m2_tsp_1(sK1388,sK1387) ),
inference(resolution,[],[f53364,f19269]) ).
fof(f53932,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(sK1388))) = sK1375(sK1388,X0)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_subsumption_resolution,[],[f53931,f19268]) ).
fof(f53933,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK1387)
| k4_xboole_0(X0,k4_xboole_0(X0,sF1395)) = sK1375(sK1388,X0)
| ~ m1_subset_1(X0,sF1400) ),
inference(forward_demodulation,[],[f53932,f22749]) ).
fof(f53934,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1375(sK1388,sK1389)
| ~ m1_subset_1(sK1389,sF1400)
| ~ spl1401_2 ),
inference(resolution,[],[f53933,f22805]) ).
fof(f53940,plain,
( k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1395)) = sK1375(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f53934,f22762]) ).
fof(f53942,plain,
( k5_subset_1(sF1392,sF1395,sK1389) = sK1375(sK1388,sK1389)
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f53940,f25272]) ).
fof(f53956,plain,
( k4_xboole_0(sF1395,sK1389) = k4_xboole_0(sF1395,sK1375(sK1388,sK1389))
| ~ spl1401_2 ),
inference(superposition,[],[f44103,f53942]) ).
fof(f53958,plain,
( m1_subset_1(sK1375(sK1388,sK1389),sF1400)
| ~ m1_subset_1(sF1395,sF1400)
| ~ m1_subset_1(sK1389,sF1400)
| ~ spl1401_2 ),
inference(superposition,[],[f25032,f53942]) ).
fof(f53963,plain,
( m1_subset_1(sK1375(sK1388,sK1389),sF1400)
| ~ m1_subset_1(sK1389,sF1400)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f53958,f25112]) ).
fof(f53969,plain,
( m1_subset_1(sK1375(sK1388,sK1389),sF1400)
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f53963,f22762]) ).
fof(f53987,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_393 ),
inference(resolution,[],[f24979,f19793]) ).
fof(f53988,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_393 ),
inference(forward_subsumption_resolution,[],[f53987,f53531]) ).
fof(f54322,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,[],[f53416,f22741]) ).
fof(f54328,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_393 ),
inference(forward_subsumption_resolution,[],[f54322,f24979]) ).
fof(f54330,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_393 ),
inference(forward_subsumption_resolution,[],[f54328,f53385]) ).
fof(f54332,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_393 ),
inference(forward_subsumption_resolution,[],[f54330,f19270]) ).
fof(f54334,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_393 ),
inference(forward_subsumption_resolution,[],[f54332,f19269]) ).
fof(f54336,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_393 ),
inference(forward_subsumption_resolution,[],[f54334,f19268]) ).
fof(f54338,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_393 ),
inference(forward_demodulation,[],[f54336,f22749]) ).
fof(f54340,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_393
| ~ spl1401_396 ),
inference(forward_subsumption_resolution,[],[f54338,f24991]) ).
fof(f54342,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_393
| ~ spl1401_396 ),
inference(forward_demodulation,[],[f54340,f22749]) ).
fof(f54344,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54342,f53876]) ).
fof(f54346,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54344,f22749]) ).
fof(f54348,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f54346,f53417]) ).
fof(f54360,plain,
( k9_relat_1(sF1391,sK1389) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f54348,f22762]) ).
fof(f54361,plain,
( k9_relat_1(sF1391,sK1390) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f54348,f22761]) ).
fof(f54363,plain,
( k9_relat_1(sF1391,sF1393) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sF1393))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f54348,f25038]) ).
fof(f54365,plain,
( sF1394 = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sF1393))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54363,f53890]) ).
fof(f54367,plain,
( sF1397 = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54361,f53889]) ).
fof(f54368,plain,
( k5_subset_1(sF1392,sF1395,sK1389) = k9_relat_1(sF1391,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f54360,f53796]) ).
fof(f54370,plain,
( sF1396 = k5_subset_1(sF1392,sF1395,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f54368,f53888]) ).
fof(f54371,plain,
( sF1396 = sK1375(sK1388,sK1389)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f54370,f53942]) ).
fof(f54375,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f19604,f54365]) ).
fof(f54376,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54375,f22758]) ).
fof(f54377,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54376,f22760]) ).
fof(f54395,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f19604,f54367]) ).
fof(f54396,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54395,f22758]) ).
fof(f54397,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54396,f22760]) ).
fof(f54489,plain,
( sF1394 = k5_subset_1(sF1395,sF1395,sF1394)
| ~ spl1401_394
| ~ spl1401_399
| ~ spl1401_409 ),
inference(forward_demodulation,[],[f53618,f53572]) ).
fof(f54510,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54377,f22758]) ).
fof(f54513,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54397,f22758]) ).
fof(f54532,definition,
( spl1401_639
<=> m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_639])],[avatar_definition]) ).
fof(f54533,plain,
( m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400)
| ~ spl1401_639 ),
inference(avatar_component_clause,[],[f54532]) ).
fof(f54534,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400)
| spl1401_639 ),
inference(avatar_component_clause,[],[f54532]) ).
fof(f54536,definition,
( spl1401_640
<=> m1_subset_1(sF1394,sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_640])],[avatar_definition]) ).
fof(f54538,plain,
( m1_subset_1(sF1394,sF1400)
| ~ spl1401_640 ),
inference(avatar_component_clause,[],[f54536]) ).
fof(f54540,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54510,f22760]) ).
fof(f54543,definition,
( spl1401_641
<=> m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_641])],[avatar_definition]) ).
fof(f54544,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400)
| ~ spl1401_641 ),
inference(avatar_component_clause,[],[f54543]) ).
fof(f54545,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400)
| spl1401_641 ),
inference(avatar_component_clause,[],[f54543]) ).
fof(f54547,definition,
( spl1401_642
<=> m1_subset_1(sF1397,sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_642])],[avatar_definition]) ).
fof(f54549,plain,
( m1_subset_1(sF1397,sF1400)
| ~ spl1401_642 ),
inference(avatar_component_clause,[],[f54547]) ).
fof(f54551,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54513,f22760]) ).
fof(f54557,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f54540,f25112]) ).
fof(f54559,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f54551,f25112]) ).
fof(f54565,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sF1393),u1_pre_topc(sF1399))
| m1_subset_1(sF1394,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54557,f22758]) ).
fof(f54567,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1390),u1_pre_topc(sF1399))
| m1_subset_1(sF1397,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54559,f22758]) ).
fof(f54570,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sF1393),sF1400)
| m1_subset_1(sF1394,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54565,f22760]) ).
fof(f54572,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1390),sF1400)
| m1_subset_1(sF1397,sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54567,f22760]) ).
fof(f54578,plain,
( spl1401_640
| ~ spl1401_639
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(avatar_split_clause,[],[f54570,f24994,f24990,f24982,f24978,f24961,f54532,f54536]) ).
fof(f54583,plain,
( spl1401_642
| ~ spl1401_641
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(avatar_split_clause,[],[f54572,f24994,f24990,f24982,f24978,f24961,f54543,f54547]) ).
fof(f54678,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| ~ m1_subset_1(sK1389,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,sK1389,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1389),k3_tex_4(sK1387,X0)) )
| ~ spl1401_2 ),
inference(resolution,[],[f53412,f22805]) ).
fof(f54681,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,sK1389,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1389),k3_tex_4(sK1387,X0)) )
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f54678,f22762]) ).
fof(f54686,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sK1389,k3_tex_4(sK1387,X0)) = k3_tex_4(sK1387,k5_subset_1(sF1392,sK1389,X0)) )
| ~ spl1401_2
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f54681,f53796]) ).
fof(f54866,plain,
( k5_subset_1(sF1392,sK1389,k3_tex_4(sK1387,sK1390)) = k3_tex_4(sK1387,k5_subset_1(sF1392,sK1389,sK1390))
| ~ spl1401_2
| ~ spl1401_596 ),
inference(resolution,[],[f54686,f22761]) ).
fof(f54873,plain,
( k3_tex_4(sK1387,sF1393) = k5_subset_1(sF1392,sK1389,k3_tex_4(sK1387,sK1390))
| ~ spl1401_2
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f54866,f22745]) ).
fof(f55000,plain,
( k5_subset_1(sF1395,sF1396,sF1398) = k5_subset_1(sF1395,sF1398,sF1396)
| ~ spl1401_398
| ~ spl1401_401 ),
inference(resolution,[],[f53836,f25001]) ).
fof(f55084,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f53914,f53988]) ).
fof(f55211,plain,
( ~ m1_subset_1(sK1389,sF1400)
| sK1389 = k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,sK1389))
| ~ spl1401_2 ),
inference(resolution,[],[f53451,f22805]) ).
fof(f55214,plain,
( sK1389 = k3_tex_4(sK1387,k5_subset_1(sF1392,sF1395,sK1389))
| ~ spl1401_2 ),
inference(forward_subsumption_resolution,[],[f55211,f22762]) ).
fof(f55219,plain,
( sK1389 = k3_tex_4(sK1387,sK1375(sK1388,sK1389))
| ~ spl1401_2 ),
inference(forward_demodulation,[],[f55214,f53942]) ).
fof(f55224,plain,
( sK1389 = k3_tex_4(sK1387,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f55219,f54371]) ).
fof(f56245,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,[],[f53369,f19269]) ).
fof(f56246,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,[],[f56245,f19270]) ).
fof(f56247,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,[],[f56246,f19268]) ).
fof(f56248,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,[],[f56247,f22741]) ).
fof(f56249,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f56248,f53876]) ).
fof(f56261,plain,
( k3_tex_4(sK1387,sK1389) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f56249,f22762]) ).
fof(f56262,plain,
( k3_tex_4(sK1387,sK1390) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f56249,f22761]) ).
fof(f56264,plain,
( k3_tex_4(sK1387,sF1393) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,sF1393))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f56249,f25038]) ).
fof(f56267,plain,
( k3_tex_4(sK1387,sF1393) = k5_pre_topc(sK1387,sK1388,sF1391,sF1394)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f56264,f53890]) ).
fof(f56269,plain,
( k3_tex_4(sK1387,sK1390) = k5_pre_topc(sK1387,sK1388,sF1391,sF1397)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f56262,f53889]) ).
fof(f56270,plain,
( k3_tex_4(sK1387,sK1389) = k5_pre_topc(sK1387,sK1388,sF1391,sF1396)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f56261,f53888]) ).
fof(f56388,plain,
( ! [X0] : k3_tarski(k2_tarski(k4_xboole_0(sF1395,sK1389),k4_xboole_0(X0,k4_xboole_0(X0,sF1395)))) = k4_xboole_0(sF1395,k4_xboole_0(sK1375(sK1388,sK1389),X0))
| ~ spl1401_2 ),
inference(superposition,[],[f29319,f53956]) ).
fof(f56402,plain,
( ! [X0] : k3_tarski(k2_tarski(k4_xboole_0(sF1395,sK1389),k4_xboole_0(X0,k4_xboole_0(X0,sF1395)))) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,X0))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f56388,f54371]) ).
fof(f57019,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f56402,f29319]) ).
fof(f57146,plain,
( ! [X0] :
( r1_tarski(X0,sK1389)
| ~ r1_tarski(X0,sF1396)
| ~ m1_subset_1(sF1396,sF1400) )
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(superposition,[],[f38218,f55224]) ).
fof(f57153,definition,
( spl1401_660
<=> m1_subset_1(sF1396,sF1400) ),
introduced(definition,[new_symbols(definition,[spl1401_660])],[avatar_definition]) ).
fof(f57154,plain,
( m1_subset_1(sF1396,sF1400)
| ~ spl1401_660 ),
inference(avatar_component_clause,[],[f57153]) ).
fof(f57155,plain,
( ~ m1_subset_1(sF1396,sF1400)
| spl1401_660 ),
inference(avatar_component_clause,[],[f57153]) ).
fof(f57171,definition,
( spl1401_664
<=> ! [X0] :
( r1_tarski(X0,sK1389)
| ~ r1_tarski(X0,sF1396) ) ),
introduced(definition,[new_symbols(definition,[spl1401_664])],[avatar_definition]) ).
fof(f57172,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF1396)
| r1_tarski(X0,sK1389) )
| ~ spl1401_664 ),
inference(avatar_component_clause,[],[f57171]) ).
fof(f57208,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f20438,f56269]) ).
fof(f57209,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f57208,f24962]) ).
fof(f57210,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f57209,f24983]) ).
fof(f57211,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f57210,f24979]) ).
fof(f57212,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f57211,f22743]) ).
fof(f57213,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f57212,f22758]) ).
fof(f57214,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f57213,f22760]) ).
fof(f57215,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_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(forward_subsumption_resolution,[],[f57214,f54545]) ).
fof(f57216,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_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(forward_demodulation,[],[f57215,f22749]) ).
fof(f57217,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(forward_demodulation,[],[f57216,f22743]) ).
fof(f57218,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(forward_subsumption_resolution,[],[f57217,f24991]) ).
fof(f57219,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(forward_demodulation,[],[f57218,f22749]) ).
fof(f57220,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(forward_demodulation,[],[f57219,f22743]) ).
fof(f57221,plain,
( $false
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(forward_subsumption_resolution,[],[f57220,f24995]) ).
fof(f57222,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(avatar_contradiction_clause,[],[f57221]) ).
fof(f57271,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,X0,sF1397) = k5_subset_1(sF1392,sF1397,X0) )
| ~ spl1401_642 ),
inference(resolution,[],[f54549,f25049]) ).
fof(f57278,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k4_xboole_0(sF1397,k4_xboole_0(sF1397,X0)) = k5_subset_1(sF1392,sF1397,X0) )
| ~ spl1401_642 ),
inference(resolution,[],[f54549,f25249]) ).
fof(f57380,plain,
( k5_subset_1(sF1392,sF1394,sF1395) = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_640 ),
inference(resolution,[],[f54538,f25124]) ).
fof(f57387,plain,
( k5_subset_1(sF1392,sF1395,sF1394) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394))
| ~ spl1401_640 ),
inference(resolution,[],[f54538,f25255]) ).
fof(f57424,plain,
( k4_xboole_0(sF1394,k4_xboole_0(sF1394,sF1395)) = k5_subset_1(sF1392,sF1394,sF1395)
| ~ spl1401_640 ),
inference(resolution,[],[f54538,f39405]) ).
fof(f57446,plain,
( k5_subset_1(sF1395,sF1394,sF1395) = k5_subset_1(sF1392,sF1394,sF1395)
| ~ spl1401_399
| ~ spl1401_409
| ~ spl1401_640 ),
inference(forward_demodulation,[],[f57424,f53573]) ).
fof(f57449,plain,
( k5_subset_1(sF1392,sF1395,sF1394) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1394))
| ~ spl1401_391
| ~ spl1401_405
| ~ spl1401_640 ),
inference(forward_demodulation,[],[f57387,f36445]) ).
fof(f57456,plain,
( k5_subset_1(sF1395,sF1394,sF1395) = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_399
| ~ spl1401_409
| ~ spl1401_640 ),
inference(forward_demodulation,[],[f57446,f57380]) ).
fof(f57458,plain,
( k5_subset_1(sF1395,sF1395,sF1394) = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_399
| ~ spl1401_409
| ~ spl1401_640 ),
inference(forward_demodulation,[],[f57456,f53572]) ).
fof(f57459,plain,
( sF1394 = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_394
| ~ spl1401_399
| ~ spl1401_409
| ~ spl1401_640 ),
inference(forward_demodulation,[],[f57458,f54489]) ).
fof(f57521,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f20438,f56267]) ).
fof(f57522,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f57521,f24962]) ).
fof(f57523,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f57522,f24983]) ).
fof(f57524,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f57523,f24979]) ).
fof(f57525,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f57524,f22743]) ).
fof(f57526,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f57525,f22758]) ).
fof(f57527,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f57526,f22760]) ).
fof(f57965,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f55084,f53889]) ).
fof(f58096,plain,
( k5_subset_1(sF1395,sF1396,sF1397) = k5_subset_1(sF1395,sF1397,sF1396)
| ~ spl1401_395
| ~ spl1401_398 ),
inference(resolution,[],[f53642,f24988]) ).
fof(f58098,plain,
( sF1398 = k5_subset_1(sF1395,sF1397,sF1396)
| ~ spl1401_395
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58096,f22755]) ).
fof(f58605,plain,
( k5_subset_1(sF1395,sF1397,sF1396) = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1396))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(resolution,[],[f53644,f24988]) ).
fof(f58606,plain,
( k5_subset_1(sF1395,sF1398,sF1396) = k4_xboole_0(sF1398,k4_xboole_0(sF1398,sF1396))
| ~ spl1401_398
| ~ spl1401_401 ),
inference(resolution,[],[f53644,f25028]) ).
fof(f58607,plain,
( k5_subset_1(sF1395,sF1396,sF1398) = k4_xboole_0(sF1398,k4_xboole_0(sF1398,sF1396))
| ~ spl1401_398
| ~ spl1401_401 ),
inference(forward_demodulation,[],[f58606,f55000]) ).
fof(f58608,plain,
( sF1398 = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1396))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58605,f58098]) ).
fof(f58631,plain,
( ! [X0] : k4_xboole_0(sF1397,k4_xboole_0(X0,sF1396)) = k3_tarski(k2_tarski(k4_xboole_0(sF1397,X0),sF1398))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(superposition,[],[f24717,f58608]) ).
fof(f58632,plain,
( r1_tarski(sF1398,sF1396)
| ~ spl1401_395
| ~ spl1401_398 ),
inference(superposition,[],[f25382,f58608]) ).
fof(f58634,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(X0,sF1397)) = k3_tarski(k2_tarski(k4_xboole_0(sF1396,X0),sF1398))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(superposition,[],[f29319,f58608]) ).
fof(f58640,plain,
( sF1398 = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1398))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(superposition,[],[f19355,f58608]) ).
fof(f58650,plain,
( ! [X0] : k4_xboole_0(sF1398,X0) = k4_xboole_0(k4_xboole_0(sF1397,X0),k4_xboole_0(sF1397,sF1396))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(superposition,[],[f26952,f58608]) ).
fof(f58664,plain,
( ! [X0] : k4_xboole_0(sF1398,X0) = k4_xboole_0(sF1397,k4_xboole_0(sF1397,k4_xboole_0(sF1396,X0)))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f58650,f45688]) ).
fof(f58690,plain,
( r1_tarski(sF1398,sK1389)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_664 ),
inference(resolution,[],[f58632,f57172]) ).
fof(f58693,plain,
( sF1398 = k4_xboole_0(sF1398,k4_xboole_0(sF1398,sF1396))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(resolution,[],[f58632,f19343]) ).
fof(f58704,plain,
( sF1398 = k5_subset_1(sF1395,sF1396,sF1398)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_401 ),
inference(forward_demodulation,[],[f58693,f58607]) ).
fof(f58823,definition,
( spl1401_732
<=> r1_tarski(sF1397,sK1390) ),
introduced(definition,[new_symbols(definition,[spl1401_732])],[avatar_definition]) ).
fof(f58824,plain,
( r1_tarski(sF1397,sK1390)
| ~ spl1401_732 ),
inference(avatar_component_clause,[],[f58823]) ).
fof(f58825,plain,
( ~ r1_tarski(sF1397,sK1390)
| spl1401_732 ),
inference(avatar_component_clause,[],[f58823]) ).
fof(f58833,plain,
( k1_xboole_0 = k4_xboole_0(sF1398,sK1389)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_664 ),
inference(resolution,[],[f58690,f11341]) ).
fof(f59003,plain,
( ! [X0] : k3_tarski(k2_tarski(k4_xboole_0(sF1397,X0),sF1398)) = k4_xboole_0(sF1397,k4_xboole_0(X0,sF1398))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(superposition,[],[f24717,f58640]) ).
fof(f59047,plain,
( ! [X0] : k4_xboole_0(sF1397,k4_xboole_0(X0,sF1396)) = k4_xboole_0(sF1397,k4_xboole_0(X0,sF1398))
| ~ spl1401_395
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f59003,f58631]) ).
fof(f59810,plain,
( k4_xboole_0(sF1398,k1_xboole_0) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_391
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_664 ),
inference(superposition,[],[f28505,f58833]) ).
fof(f59858,plain,
( sF1398 = k4_xboole_0(sK1389,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_391
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f59810,f11294]) ).
fof(f60044,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,k3_tex_4(sK1387,sK1390),X0) = k4_xboole_0(k3_tex_4(sK1387,sK1390),k4_xboole_0(k3_tex_4(sK1387,sK1390),X0)) )
| ~ spl1401_641 ),
inference(resolution,[],[f54544,f25249]) ).
fof(f60045,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_641 ),
inference(resolution,[],[f54544,f25252]) ).
fof(f60048,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_641 ),
inference(resolution,[],[f54544,f25255]) ).
fof(f60132,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_391
| ~ spl1401_405
| ~ spl1401_641 ),
inference(forward_demodulation,[],[f60048,f36445]) ).
fof(f60135,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_391
| ~ spl1401_405
| ~ spl1401_641 ),
inference(forward_demodulation,[],[f60045,f34430]) ).
fof(f60145,plain,
( sF1397 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_641 ),
inference(forward_demodulation,[],[f60132,f54367]) ).
fof(f60540,plain,
( k5_subset_1(sF1392,sK1375(sK1388,sK1389),sF1397) = k5_subset_1(sF1392,sF1397,sK1375(sK1388,sK1389))
| ~ spl1401_2
| ~ spl1401_642 ),
inference(resolution,[],[f53969,f57271]) ).
fof(f60541,plain,
( k5_subset_1(sF1392,sF1397,sK1375(sK1388,sK1389)) = k4_xboole_0(sF1397,k4_xboole_0(sF1397,sK1375(sK1388,sK1389)))
| ~ spl1401_2
| ~ spl1401_642 ),
inference(resolution,[],[f53969,f57278]) ).
fof(f60553,plain,
( k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1396)) = k5_subset_1(sF1392,sF1397,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596
| ~ spl1401_642 ),
inference(forward_demodulation,[],[f60541,f54371]) ).
fof(f60554,plain,
( k5_subset_1(sF1392,sF1397,sF1396) = k5_subset_1(sF1392,sF1396,sF1397)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596
| ~ spl1401_642 ),
inference(forward_demodulation,[],[f60540,f54371]) ).
fof(f60623,plain,
( sF1398 = k5_subset_1(sF1392,sF1397,sF1396)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_596
| ~ spl1401_642 ),
inference(forward_demodulation,[],[f60553,f58608]) ).
fof(f60642,plain,
( sF1398 = k5_subset_1(sF1392,sF1396,sF1397)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_596
| ~ spl1401_642 ),
inference(forward_demodulation,[],[f60623,f60554]) ).
fof(f60731,plain,
( k5_subset_1(sF1392,sF1397,sF1396) = k5_subset_1(sF1392,sF1396,sF1397)
| ~ spl1401_642
| ~ spl1401_660 ),
inference(resolution,[],[f57154,f57271]) ).
fof(f60732,plain,
( k4_xboole_0(sF1397,k4_xboole_0(sF1397,sF1396)) = k5_subset_1(sF1392,sF1397,sF1396)
| ~ spl1401_642
| ~ spl1401_660 ),
inference(resolution,[],[f57154,f57278]) ).
fof(f60776,plain,
( m1_subset_1(sF1398,sF1400)
| ~ m1_subset_1(sF1396,sF1400)
| ~ m1_subset_1(sF1397,sF1400)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_596
| ~ spl1401_642 ),
inference(superposition,[],[f25032,f60642]) ).
fof(f60781,plain,
( m1_subset_1(sF1398,sF1400)
| ~ m1_subset_1(sF1397,sF1400)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_596
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_subsumption_resolution,[],[f60776,f57154]) ).
fof(f60785,plain,
( m1_subset_1(sF1398,sF1400)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_596
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_subsumption_resolution,[],[f60781,f54549]) ).
fof(f60849,plain,
( k5_subset_1(sF1392,sK1389,sF1398) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1398))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_596
| ~ spl1401_642
| ~ spl1401_660 ),
inference(resolution,[],[f60785,f25252]) ).
fof(f60925,plain,
( k5_subset_1(sF1392,sK1389,sF1398) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f60849,f34430]) ).
fof(f60931,plain,
( sF1398 = k5_subset_1(sF1392,sK1389,sF1398)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f60925,f59858]) ).
fof(f61838,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(X0,sF1398)) = k3_tarski(k2_tarski(k4_xboole_0(sF1396,X0),k5_subset_1(sF1395,sF1396,sF1398)))
| ~ spl1401_398
| ~ spl1401_401 ),
inference(superposition,[],[f29319,f58607]) ).
fof(f61889,plain,
( ! [X0] : k3_tarski(k2_tarski(k4_xboole_0(sF1396,X0),sF1398)) = k4_xboole_0(sF1396,k4_xboole_0(X0,sF1398))
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_401 ),
inference(forward_demodulation,[],[f61838,f58704]) ).
fof(f61923,plain,
( ! [X0] : k4_xboole_0(sF1396,k4_xboole_0(X0,sF1397)) = k4_xboole_0(sF1396,k4_xboole_0(X0,sF1398))
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_401 ),
inference(forward_demodulation,[],[f61889,f58634]) ).
fof(f62322,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_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(forward_subsumption_resolution,[],[f57527,f54534]) ).
fof(f62324,plain,
( sF1396 = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f54360,f53888]) ).
fof(f62352,plain,
( sF1398 = k5_subset_1(sF1392,sF1397,sF1396)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f60732,f58608]) ).
fof(f62363,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_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(forward_demodulation,[],[f62322,f22749]) ).
fof(f62367,plain,
( sF1398 = k5_subset_1(sF1392,sF1396,sF1397)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f62352,f60731]) ).
fof(f62374,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(forward_demodulation,[],[f62363,f22743]) ).
fof(f62379,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(forward_subsumption_resolution,[],[f62374,f24991]) ).
fof(f62382,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(forward_demodulation,[],[f62379,f22749]) ).
fof(f62383,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(forward_demodulation,[],[f62382,f22743]) ).
fof(f62384,plain,
( $false
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(forward_subsumption_resolution,[],[f62383,f24995]) ).
fof(f62385,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(avatar_contradiction_clause,[],[f62384]) ).
fof(f62408,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| ~ m1_subset_1(sK1390,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,sK1390,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1390),k3_tex_4(sK1387,X0)) )
| ~ spl1401_1 ),
inference(resolution,[],[f22801,f53412]) ).
fof(f62410,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1375(sK1388,sK1390)
| ~ m1_subset_1(sK1390,sF1400)
| ~ spl1401_1 ),
inference(resolution,[],[f22801,f53933]) ).
fof(f62411,plain,
( sK1390 = k3_tex_4(sK1387,sK1390)
| ~ m1_subset_1(sK1390,sF1400)
| ~ spl1401_1
| ~ spl1401_596 ),
inference(resolution,[],[f22801,f53392]) ).
fof(f62412,plain,
( sK1390 = k3_tex_4(sK1387,sK1390)
| ~ spl1401_1
| ~ spl1401_596 ),
inference(forward_subsumption_resolution,[],[f62411,f22761]) ).
fof(f62413,plain,
( k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1395)) = sK1375(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_subsumption_resolution,[],[f62410,f22761]) ).
fof(f62415,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k3_tex_4(sK1387,k5_subset_1(sF1392,sK1390,X0)) = k5_subset_1(sF1392,k3_tex_4(sK1387,sK1390),k3_tex_4(sK1387,X0)) )
| ~ spl1401_1 ),
inference(forward_subsumption_resolution,[],[f62408,f22761]) ).
fof(f62417,plain,
( k5_subset_1(sF1392,sF1395,sK1390) = sK1375(sK1388,sK1390)
| ~ spl1401_1 ),
inference(forward_demodulation,[],[f62413,f25262]) ).
fof(f62419,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF1400)
| k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,X0)) = k3_tex_4(sK1387,k5_subset_1(sF1392,sK1390,X0)) )
| ~ spl1401_1
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f62415,f62412]) ).
fof(f62425,plain,
( sF1397 = k5_subset_1(sF1392,sF1395,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(superposition,[],[f54367,f62412]) ).
fof(f62442,plain,
( sF1397 = sK1375(sK1388,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f62425,f62417]) ).
fof(f62465,plain,
( r1_tarski(sK1375(sK1388,sK1390),sK1390)
| ~ spl1401_1 ),
inference(superposition,[],[f25482,f62417]) ).
fof(f62476,plain,
( k4_xboole_0(sF1395,sK1390) = k4_xboole_0(sF1395,sK1375(sK1388,sK1390))
| ~ spl1401_1 ),
inference(superposition,[],[f44108,f62417]) ).
fof(f62484,plain,
( k4_xboole_0(sF1395,sK1390) = k4_xboole_0(sF1395,sF1397)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f62476,f62442]) ).
fof(f62495,plain,
( r1_tarski(sF1397,sK1390)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f62465,f62442]) ).
fof(f62501,plain,
( $false
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596
| spl1401_732 ),
inference(forward_subsumption_resolution,[],[f62495,f58825]) ).
fof(f62502,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596
| spl1401_732 ),
inference(avatar_contradiction_clause,[],[f62501]) ).
fof(f62545,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f20438,f56270]) ).
fof(f62546,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f62545,f24962]) ).
fof(f62547,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f62546,f24983]) ).
fof(f62548,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f62547,f24979]) ).
fof(f62549,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f62548,f22743]) ).
fof(f62550,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f62549,f22758]) ).
fof(f62551,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_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f62550,f22760]) ).
fof(f62552,plain,
( ~ v1_funct_2(sF1391,u1_struct_0(sK1387),sF1395)
| m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f62551,f22749]) ).
fof(f62553,plain,
( ~ v1_funct_2(sF1391,sF1392,sF1395)
| m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f62552,f22743]) ).
fof(f62554,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ m1_relset_1(sF1391,u1_struct_0(sK1387),u1_struct_0(sK1388))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f62553,f24991]) ).
fof(f62555,plain,
( ~ m1_relset_1(sF1391,u1_struct_0(sK1387),sF1395)
| m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f62554,f22749]) ).
fof(f62556,plain,
( ~ m1_relset_1(sF1391,sF1392,sF1395)
| m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f62555,f22743]) ).
fof(f62557,plain,
( m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_subsumption_resolution,[],[f62556,f24995]) ).
fof(f62593,plain,
( m1_subset_1(sF1398,sF1400)
| ~ m1_subset_1(sF1396,sF1400)
| ~ m1_subset_1(sF1397,sF1400)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(superposition,[],[f25032,f62367]) ).
fof(f62598,plain,
( m1_subset_1(sF1398,sF1400)
| ~ m1_subset_1(sF1397,sF1400)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_subsumption_resolution,[],[f62593,f57154]) ).
fof(f62601,plain,
( m1_subset_1(sF1398,sF1400)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_subsumption_resolution,[],[f62598,f54549]) ).
fof(f62697,plain,
( k3_tex_4(sK1387,k5_subset_1(sF1392,sK1390,sK1389)) = k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,sK1389))
| ~ spl1401_1
| ~ spl1401_596 ),
inference(resolution,[],[f62419,f22762]) ).
fof(f62711,plain,
( k3_tex_4(sK1387,sF1393) = k5_subset_1(sF1392,sK1390,k3_tex_4(sK1387,sK1389))
| ~ spl1401_1
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f62697,f25056]) ).
fof(f62897,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(superposition,[],[f29319,f62484]) ).
fof(f62908,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f62897,f29319]) ).
fof(f62958,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_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f62557,f25253]) ).
fof(f62960,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_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f62557,f25255]) ).
fof(f63012,plain,
( k9_relat_1(sF1391,k3_tex_4(sK1387,sK1389)) = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f62557,f54348]) ).
fof(f63014,plain,
( k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)) = k5_pre_topc(sK1387,sK1388,sF1391,k9_relat_1(sF1391,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(resolution,[],[f62557,f56249]) ).
fof(f63028,plain,
( k5_pre_topc(sK1387,sK1388,sF1391,sF1396) = k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f63014,f53886]) ).
fof(f63030,plain,
( sF1396 = k5_subset_1(sF1392,sF1395,k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f63012,f53886]) ).
fof(f63046,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_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f62960,f36445]) ).
fof(f63048,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_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f62958,f33990]) ).
fof(f63056,plain,
( k3_tex_4(sK1387,sK1389) = k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f63028,f56270]) ).
fof(f63060,plain,
( sF1396 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f63046,f62324]) ).
fof(f63062,plain,
( k3_tex_4(sK1387,sF1393) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1389)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f63048,f62711]) ).
fof(f63768,plain,
( k1_xboole_0 = k4_xboole_0(sF1397,sK1390)
| ~ spl1401_732 ),
inference(resolution,[],[f58824,f11341]) ).
fof(f64088,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,k3_tex_4(sK1387,sK1389)),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f19604,f63030]) ).
fof(f64089,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,k3_tex_4(sK1387,sK1389)),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f64088,f22758]) ).
fof(f64090,plain,
( m1_subset_1(sF1396,sF1400)
| ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(forward_demodulation,[],[f64089,f22760]) ).
fof(f65744,plain,
( k5_subset_1(sF1392,k3_tex_4(sK1387,sK1390),sF1398) = k4_xboole_0(k3_tex_4(sK1387,sK1390),k4_xboole_0(k3_tex_4(sK1387,sK1390),sF1398))
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660 ),
inference(resolution,[],[f60044,f62601]) ).
fof(f65745,plain,
( k5_subset_1(sF1392,sK1390,sF1398) = k4_xboole_0(sK1390,k4_xboole_0(sK1390,sF1398))
| ~ spl1401_1
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_596
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f65744,f62412]) ).
fof(f66168,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405 ),
inference(superposition,[],[f24717,f63060]) ).
fof(f66186,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f66168,f29417]) ).
fof(f66195,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405 ),
inference(forward_demodulation,[],[f66186,f47008]) ).
fof(f66997,plain,
( ~ m1_subset_1(sF1395,u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ m1_subset_1(k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(forward_subsumption_resolution,[],[f64090,f57155]) ).
fof(f67007,plain,
( ~ m1_subset_1(sF1395,u1_pre_topc(sF1399))
| ~ m1_subset_1(k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(forward_demodulation,[],[f66997,f22758]) ).
fof(f67018,plain,
( ~ m1_subset_1(sF1395,sF1400)
| ~ m1_subset_1(k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(forward_demodulation,[],[f67007,f22760]) ).
fof(f67026,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)),u1_pre_topc(k2_pcomps_1(sF1392)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(forward_subsumption_resolution,[],[f67018,f25112]) ).
fof(f67032,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)),u1_pre_topc(sF1399))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(forward_demodulation,[],[f67026,f22758]) ).
fof(f67038,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,k3_tex_4(sK1387,sK1389)),sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(forward_demodulation,[],[f67032,f22760]) ).
fof(f67043,plain,
( ~ m1_subset_1(k3_tex_4(sK1387,sK1389),sF1400)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(forward_demodulation,[],[f67038,f63056]) ).
fof(f67044,plain,
( $false
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(forward_subsumption_resolution,[],[f67043,f62557]) ).
fof(f67045,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(avatar_contradiction_clause,[],[f67044]) ).
fof(f67048,plain,
( k5_subset_1(sF1392,sK1390,sF1398) = k4_xboole_0(sK1390,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f65745,f33990]) ).
fof(f67230,plain,
( k5_subset_1(sF1392,sF1398,sF1395) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(resolution,[],[f62601,f25124]) ).
fof(f67234,plain,
( k5_subset_1(sF1392,sK1389,sF1398) = k4_xboole_0(sK1389,k4_xboole_0(sK1389,sF1398))
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(resolution,[],[f62601,f25252]) ).
fof(f67237,plain,
( k5_subset_1(sF1392,sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1398))
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(resolution,[],[f62601,f25255]) ).
fof(f67274,plain,
( k4_xboole_0(sF1398,k4_xboole_0(sF1398,sF1395)) = k5_subset_1(sF1392,sF1398,sF1395)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_642
| ~ spl1401_660 ),
inference(resolution,[],[f62601,f39405]) ).
fof(f67310,plain,
( k5_subset_1(sF1395,sF1398,sF1395) = k5_subset_1(sF1392,sF1398,sF1395)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_409
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f67274,f53828]) ).
fof(f67313,plain,
( k5_subset_1(sF1392,sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_391
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f67237,f36445]) ).
fof(f67316,plain,
( k5_subset_1(sF1392,sK1389,sF1398) = k4_xboole_0(sK1389,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_391
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f67234,f34430]) ).
fof(f67321,plain,
( k5_subset_1(sF1395,sF1398,sF1395) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_409
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f67310,f67230]) ).
fof(f67323,plain,
( k5_subset_1(sF1395,sF1395,sF1398) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_409
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f67321,f53827]) ).
fof(f67324,plain,
( sF1398 = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_409
| ~ spl1401_642
| ~ spl1401_660 ),
inference(forward_demodulation,[],[f67323,f53870]) ).
fof(f69246,plain,
( ! [X0] : m1_subset_1(k4_xboole_0(sF1397,X0),u1_pre_topc(k2_pcomps_1(sF1395)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397 ),
inference(superposition,[],[f57965,f19355]) ).
fof(f70331,plain,
( ! [X0] : k5_subset_1(sF1395,k4_xboole_0(sF1397,X0),sF1396) = k5_subset_1(sF1395,sF1396,k4_xboole_0(sF1397,X0))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f69246,f53642]) ).
fof(f70332,plain,
( ! [X0] : k4_xboole_0(k4_xboole_0(sF1397,X0),k4_xboole_0(k4_xboole_0(sF1397,X0),sF1396)) = k5_subset_1(sF1395,k4_xboole_0(sF1397,X0),sF1396)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(resolution,[],[f69246,f53644]) ).
fof(f70393,plain,
( ! [X0] : k4_xboole_0(sF1397,k4_xboole_0(sF1397,k4_xboole_0(sF1396,X0))) = k5_subset_1(sF1395,k4_xboole_0(sF1397,X0),sF1396)
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f70332,f26856]) ).
fof(f70402,plain,
( ! [X0] : k4_xboole_0(sF1397,k4_xboole_0(sF1397,k4_xboole_0(sF1396,X0))) = k5_subset_1(sF1395,sF1396,k4_xboole_0(sF1397,X0))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f70393,f70331]) ).
fof(f70407,plain,
( ! [X0] : k4_xboole_0(sF1398,X0) = k5_subset_1(sF1395,sF1396,k4_xboole_0(sF1397,X0))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398 ),
inference(forward_demodulation,[],[f70402,f58664]) ).
fof(f72840,plain,
( ! [X0] :
( r1_tarski(X0,sK1389)
| ~ r1_tarski(X0,sF1396) )
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596
| ~ spl1401_660 ),
inference(forward_subsumption_resolution,[],[f57146,f57154]) ).
fof(f77494,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_641 ),
inference(superposition,[],[f24717,f60145]) ).
fof(f77511,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_641 ),
inference(forward_demodulation,[],[f77494,f29417]) ).
fof(f77520,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_641 ),
inference(forward_demodulation,[],[f77511,f47008]) ).
fof(f81605,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_732 ),
inference(superposition,[],[f24717,f63768]) ).
fof(f81631,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_732 ),
inference(forward_demodulation,[],[f81605,f29417]) ).
fof(f81643,plain,
( ! [X0] : k4_xboole_0(sF1397,k4_xboole_0(X0,sK1390)) = k4_xboole_0(sF1397,k4_xboole_0(X0,sF1397))
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f81631,f11294]) ).
fof(f81650,plain,
( ! [X0] : sF1397 = k4_xboole_0(sF1397,k4_xboole_0(X0,sK1390))
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f81643,f40125]) ).
fof(f81681,plain,
( ! [X0] : k5_subset_1(sF1395,sF1396,sF1397) = k4_xboole_0(sF1398,k4_xboole_0(X0,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_732 ),
inference(superposition,[],[f70407,f81650]) ).
fof(f81735,plain,
( ! [X0] : sF1398 = k4_xboole_0(sF1398,k4_xboole_0(X0,sK1390))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f81681,f22755]) ).
fof(f81872,plain,
( sF1398 = k4_xboole_0(sK1390,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_732 ),
inference(superposition,[],[f28138,f81735]) ).
fof(f82503,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1398))) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sK1389,sF1398))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_642
| ~ spl1401_660 ),
inference(superposition,[],[f57019,f67316]) ).
fof(f82556,plain,
( k4_xboole_0(sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1398)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f82503,f60931]) ).
fof(f82585,plain,
( k4_xboole_0(sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f82556,f61923]) ).
fof(f83061,plain,
( sF1398 = k5_subset_1(sF1392,sK1390,sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f81872,f67048]) ).
fof(f86363,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_596 ),
inference(superposition,[],[f62908,f63062]) ).
fof(f86459,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_596 ),
inference(forward_demodulation,[],[f86363,f66195]) ).
fof(f86947,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1397,k4_xboole_0(sF1392,sF1398))) = k4_xboole_0(sF1395,k5_subset_1(sF1392,sK1390,sF1398))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660 ),
inference(superposition,[],[f62908,f67048]) ).
fof(f86994,plain,
( k4_xboole_0(sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1397,k4_xboole_0(sF1392,sF1398)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f86947,f83061]) ).
fof(f87021,plain,
( k4_xboole_0(sF1395,sF1398) = k4_xboole_0(sF1395,k4_xboole_0(sF1397,k4_xboole_0(sF1392,sF1396)))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f86994,f59047]) ).
fof(f90179,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_639 ),
inference(resolution,[],[f54533,f25255]) ).
fof(f90302,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_391
| ~ spl1401_405
| ~ spl1401_639 ),
inference(forward_demodulation,[],[f90179,f36445]) ).
fof(f90388,plain,
( k4_xboole_0(sF1395,sF1398) = k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f87021,f86459]) ).
fof(f90423,plain,
( sF1394 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,k3_tex_4(sK1387,sF1393)))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_639 ),
inference(forward_demodulation,[],[f90302,f54365]) ).
fof(f90650,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_639 ),
inference(superposition,[],[f36445,f90423]) ).
fof(f90686,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,k3_tex_4(sK1387,sF1393))
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_639 ),
inference(forward_demodulation,[],[f90650,f47061]) ).
fof(f90695,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f90686,f90388]) ).
fof(f90702,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_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(superposition,[],[f36445,f90695]) ).
fof(f90740,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394)) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f90702,f67313]) ).
fof(f90750,plain,
( sF1398 = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f90740,f67324]) ).
fof(f90759,plain,
( sF1398 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1394))
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f90750,f36445]) ).
fof(f90767,plain,
( sF1398 = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f90759,f57449]) ).
fof(f90773,plain,
( sF1394 = sF1398
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_demodulation,[],[f90767,f57459]) ).
fof(f90775,plain,
( $false
| ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(forward_subsumption_resolution,[],[f90773,f22756]) ).
fof(f90776,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(avatar_contradiction_clause,[],[f90775]) ).
fof(f90852,plain,
( spl1401_664
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596
| ~ spl1401_660 ),
inference(avatar_split_clause,[],[f72840,f57153,f53391,f24994,f24990,f24982,f24978,f24961,f22803,f57171]) ).
fof(f91919,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_641 ),
inference(superposition,[],[f57019,f60135]) ).
fof(f92723,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_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_641 ),
inference(forward_demodulation,[],[f91919,f54873]) ).
fof(f92748,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,k3_tex_4(sK1387,sK1390))))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641 ),
inference(forward_demodulation,[],[f92723,f90686]) ).
fof(f92762,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,k4_xboole_0(sF1396,k4_xboole_0(sF1392,sF1397)))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641 ),
inference(forward_demodulation,[],[f92748,f77520]) ).
fof(f92767,plain,
( k4_xboole_0(sF1395,sF1394) = k4_xboole_0(sF1395,sF1398)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f92762,f82585]) ).
fof(f92775,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394)) = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1398))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(superposition,[],[f36445,f92767]) ).
fof(f92813,plain,
( k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394)) = k5_subset_1(sF1392,sF1395,sF1398)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f92775,f67313]) ).
fof(f92823,plain,
( sF1398 = k4_xboole_0(sF1395,k4_xboole_0(sF1395,sF1394))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f92813,f67324]) ).
fof(f92832,plain,
( sF1398 = k4_xboole_0(sF1395,k4_xboole_0(sF1392,sF1394))
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f92823,f36445]) ).
fof(f92840,plain,
( sF1398 = k5_subset_1(sF1392,sF1395,sF1394)
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f92832,f57449]) ).
fof(f92846,plain,
( sF1394 = sF1398
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_demodulation,[],[f92840,f57459]) ).
fof(f92848,plain,
( $false
| ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(forward_subsumption_resolution,[],[f92846,f22756]) ).
fof(f92849,plain,
( ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(avatar_contradiction_clause,[],[f92848]) ).
cnf(s1,plain,
( spl1401_1
| spl1401_2 ),
inference(sat_conversion,[],[f22806]) ).
cnf(s339,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| spl1401_395
| ~ spl1401_396
| ~ spl1401_397 ),
inference(sat_conversion,[],[f24997]) ).
cnf(s340,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_398 ),
inference(sat_conversion,[],[f25002]) ).
cnf(s341,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_399 ),
inference(sat_conversion,[],[f25007]) ).
cnf(s343,plain,
( ~ spl1401_395
| ~ spl1401_398
| spl1401_401 ),
inference(sat_conversion,[],[f25029]) ).
cnf(s347,plain,
spl1401_391,
inference(sat_conversion,[],[f25144]) ).
cnf(s348,plain,
spl1401_402,
inference(sat_conversion,[],[f25163]) ).
cnf(s349,plain,
( spl1401_394
| ~ spl1401_402 ),
inference(sat_conversion,[],[f25166]) ).
cnf(s369,plain,
spl1401_405,
inference(sat_conversion,[],[f26126]) ).
cnf(s445,plain,
( ~ spl1401_394
| spl1401_409 ),
inference(sat_conversion,[],[f39186]) ).
cnf(s496,plain,
spl1401_596,
inference(sat_conversion,[],[f53394]) ).
cnf(s498,plain,
spl1401_393,
inference(sat_conversion,[],[f53410]) ).
cnf(s499,plain,
spl1401_396,
inference(sat_conversion,[],[f53418]) ).
cnf(s502,plain,
spl1401_397,
inference(sat_conversion,[],[f53534]) ).
cnf(s541,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_639
| spl1401_640 ),
inference(sat_conversion,[],[f54578]) ).
cnf(s543,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_641
| spl1401_642 ),
inference(sat_conversion,[],[f54583]) ).
cnf(s575,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_641 ),
inference(sat_conversion,[],[f57222]) ).
cnf(s684,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_639 ),
inference(sat_conversion,[],[f62385]) ).
cnf(s687,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596
| spl1401_732 ),
inference(sat_conversion,[],[f62502]) ).
cnf(s735,plain,
( ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| spl1401_660 ),
inference(sat_conversion,[],[f67045]) ).
cnf(s894,plain,
( ~ spl1401_1
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_732 ),
inference(sat_conversion,[],[f90776]) ).
cnf(s901,plain,
( ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_596
| ~ spl1401_660
| spl1401_664 ),
inference(sat_conversion,[],[f90852]) ).
cnf(s914,plain,
( ~ spl1401_2
| ~ spl1401_391
| ~ spl1401_393
| ~ spl1401_394
| ~ spl1401_395
| ~ spl1401_396
| ~ spl1401_397
| ~ spl1401_398
| ~ spl1401_399
| ~ spl1401_401
| ~ spl1401_405
| ~ spl1401_409
| ~ spl1401_596
| ~ spl1401_639
| ~ spl1401_640
| ~ spl1401_641
| ~ spl1401_642
| ~ spl1401_660
| ~ spl1401_664 ),
inference(sat_conversion,[],[f92849]) ).
cnf(s935,plain,
spl1401_394,
inference(rat,[],[s349,s348]) ).
cnf(s937,plain,
spl1401_409,
inference(rat,[],[s445,s935]) ).
cnf(s955,plain,
spl1401_660,
inference(rat,[],[s735,s935,s502,s499,s498,s347]) ).
cnf(s958,plain,
spl1401_639,
inference(rat,[],[s684,s935,s502,s499,s498,s347]) ).
cnf(s960,plain,
spl1401_641,
inference(rat,[],[s575,s935,s502,s499,s498,s347]) ).
cnf(s970,plain,
spl1401_640,
inference(rat,[],[s541,s347,s935,s502,s499,s498,s958]) ).
cnf(s972,plain,
spl1401_642,
inference(rat,[],[s543,s347,s935,s502,s499,s498,s960]) ).
cnf(s988,plain,
spl1401_399,
inference(rat,[],[s341,s502,s499,s935,s498,s347]) ).
cnf(s989,plain,
spl1401_398,
inference(rat,[],[s340,s502,s499,s935,s498,s347]) ).
cnf(s990,plain,
spl1401_395,
inference(rat,[],[s339,s502,s499,s935,s498,s347]) ).
cnf(s992,plain,
spl1401_401,
inference(rat,[],[s343,s989,s990]) ).
cnf(s1014,plain,
~ spl1401_2,
inference(rat,[],[s901,s914,s498,s935,s499,s502,s496,s347,s955,s989,s988,s990,s369,s937,s958,s970,s960,s972,s992]) ).
cnf(s1015,plain,
spl1401_1,
inference(rat,[],[s1,s1014]) ).
cnf(s1016,plain,
~ spl1401_732,
inference(rat,[],[s894,s992,s955,s972,s960,s970,s958,s496,s937,s369,s990,s988,s989,s502,s499,s347,s935,s498,s1015]) ).
cnf(s1022,plain,
$false,
inference(rat,[],[s687,s347,s496,s502,s499,s935,s498,s1016,s1015]) ).
fof(f92851,plain,
$false,
inference(avatar_sat_refutation,[],[s1022]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP039+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 % Computer : n003.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Mon Sep 28 19:02:28 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.98/4.65 % (1878349)Detected formulas, will run a generic FOF schedule.
% 25.98/4.65 % (1878357)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=2725165320:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 25.98/4.65 % (1878356)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=1127755099:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 25.98/4.65 % (1878358)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=1718386214:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 25.98/4.65 % (1878362)dis-21_1_sil=8000:lcm=predicate:random_seed=1296295171:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 25.98/4.65 % (1878359)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2511542890:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 25.98/4.65 % (1878360)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1254269089:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 25.98/4.65 % (1878361)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3373781009:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 25.98/4.65 % (1878359)Instruction limit reached!
% 25.98/4.65 % (1878359)------------------------------
% 25.98/4.65 % (1878359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.65 % (1878359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.65 % (1878359)CaDiCaL version: 2.1.3
% 25.98/4.65 % (1878359)Termination reason: Instruction limit
% 25.98/4.65 % (1878359)Termination phase: Saturation
% 25.98/4.65 % (1878359)Time elapsed: 0.111 s
% 25.98/4.65 % (1878359)Peak memory usage: 94 MB
% 25.98/4.65 % (1878359)Instructions burned: 109 (million)
% 25.98/4.65 % (1878360)Instruction limit reached!
% 25.98/4.65 % (1878360)------------------------------
% 25.98/4.65 % (1878360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.65 % (1878360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.65 % (1878360)CaDiCaL version: 2.1.3
% 25.98/4.65 % (1878360)Termination reason: Instruction limit
% 25.98/4.65 % (1878360)Termination phase: Property scanning
% 25.98/4.65 % (1878360)Time elapsed: 0.119 s
% 25.98/4.65 % (1878360)Peak memory usage: 94 MB
% 25.98/4.65 % (1878360)Instructions burned: 120 (million)
% 25.98/4.65 % (1878362)Instruction limit reached!
% 25.98/4.65 % (1878362)------------------------------
% 25.98/4.65 % (1878362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.65 % (1878362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.65 % (1878362)CaDiCaL version: 2.1.3
% 25.98/4.65 % (1878362)Termination reason: Instruction limit
% 25.98/4.65 % (1878362)Termination phase: Preprocessing 3
% 25.98/4.65 % (1878362)Time elapsed: 0.141 s
% 25.98/4.65 % (1878362)Peak memory usage: 95 MB
% 25.98/4.65 % (1878362)Instructions burned: 129 (million)
% 25.98/4.65 % (1878361)Instruction limit reached!
% 25.98/4.65 % (1878361)------------------------------
% 25.98/4.65 % (1878361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.65 % (1878361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.65 % (1878361)CaDiCaL version: 2.1.3
% 25.98/4.65 % (1878361)Termination reason: Instruction limit
% 25.98/4.65 % (1878361)Termination phase: Preprocessing 3
% 25.98/4.65 % (1878361)Time elapsed: 0.149 s
% 25.98/4.65 % (1878361)Peak memory usage: 94 MB
% 25.98/4.65 % (1878361)Instructions burned: 139 (million)
% 25.98/4.65 % (1878373)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1371135807:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 25.98/4.65 % (1878372)lrs+10_1_sil=8000:sp=occurrence:random_seed=3792799840:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 25.98/4.65 % (1878374)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4254934372:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 25.98/4.65 % (1878375)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=3681316906:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 25.98/4.65 % (1878373)Instruction limit reached!
% 37.42/6.24 % (1878373)------------------------------
% 37.42/6.24 % (1878373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.42/6.24 % (1878373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/6.24 % (1878373)CaDiCaL version: 2.1.3
% 37.42/6.24 % (1878373)Termination reason: Instruction limit
% 37.42/6.24 % (1878373)Termination phase: Saturation
% 37.42/6.24 % (1878373)Time elapsed: 0.149 s
% 37.42/6.24 % (1878373)Peak memory usage: 94 MB
% 37.42/6.24 % (1878373)Instructions burned: 158 (million)
% 37.42/6.24 % (1878375)Instruction limit reached!
% 37.42/6.24 % (1878375)------------------------------
% 37.42/6.24 % (1878375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.42/6.24 % (1878375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/6.24 % (1878375)CaDiCaL version: 2.1.3
% 37.42/6.24 % (1878375)Termination reason: Instruction limit
% 37.42/6.24 % (1878375)Termination phase: Property scanning
% 37.42/6.24 % (1878375)Time elapsed: 0.247 s
% 37.42/6.24 % (1878375)Peak memory usage: 98 MB
% 37.42/6.24 % (1878375)Instructions burned: 249 (million)
% 37.42/6.24 % (1878372)Instruction limit reached!
% 37.42/6.24 % (1878372)------------------------------
% 37.42/6.24 % (1878372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.42/6.24 % (1878372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/6.24 % (1878372)CaDiCaL version: 2.1.3
% 37.42/6.24 % (1878372)Termination reason: Instruction limit
% 37.42/6.24 % (1878372)Termination phase: Saturation
% 37.42/6.24 % (1878372)Time elapsed: 0.305 s
% 37.42/6.24 % (1878372)Peak memory usage: 98 MB
% 37.42/6.24 % (1878372)Instructions burned: 285 (million)
% 37.42/6.24 % (1878374)Instruction limit reached!
% 37.42/6.24 % (1878374)------------------------------
% 37.42/6.24 % (1878374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.42/6.24 % (1878374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/6.24 % (1878374)CaDiCaL version: 2.1.3
% 37.42/6.24 % (1878374)Termination reason: Instruction limit
% 37.42/6.24 % (1878374)Termination phase: Saturation
% 37.42/6.24 % (1878374)Time elapsed: 0.355 s
% 37.42/6.24 % (1878374)Peak memory usage: 97 MB
% 37.42/6.24 % (1878374)Instructions burned: 325 (million)
% 37.42/6.24 % (1878380)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3464447987:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 37.42/6.24 % (1878381)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4170732835:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 37.42/6.24 % (1878382)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4253612795:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 37.42/6.24 % (1878383)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3705298052:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 37.42/6.24 % (1878382)Instruction limit reached!
% 37.42/6.24 % (1878382)------------------------------
% 37.42/6.24 % (1878382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.42/6.24 % (1878382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/6.24 % (1878382)CaDiCaL version: 2.1.3
% 37.42/6.24 % (1878382)Termination reason: Instruction limit
% 37.42/6.24 % (1878382)Termination phase: Function definition elimination
% 37.42/6.24 % (1878382)Time elapsed: 0.118 s
% 37.42/6.24 % (1878382)Peak memory usage: 94 MB
% 37.42/6.24 % (1878382)Instructions burned: 114 (million)
% 37.42/6.24 % (1878380)Instruction limit reached!
% 37.42/6.24 % (1878380)------------------------------
% 37.42/6.24 % (1878380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.42/6.24 % (1878380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/6.24 % (1878380)CaDiCaL version: 2.1.3
% 37.42/6.24 % (1878380)Termination reason: Instruction limit
% 37.42/6.24 % (1878380)Termination phase: Saturation
% 37.42/6.24 % (1878380)Time elapsed: 0.286 s
% 37.42/6.24 % (1878380)Peak memory usage: 98 MB
% 37.42/6.24 % (1878380)Instructions burned: 294 (million)
% 37.42/6.24 % (1878383)Instruction limit reached!
% 37.42/6.24 % (1878383)------------------------------
% 37.42/6.24 % (1878383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.42/6.24 % (1878383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.42/6.24 % (1878383)CaDiCaL version: 2.1.3
% 37.42/6.24 % (1878383)Termination reason: Instruction limit
% 81.42/12.41 % (1878383)Termination phase: Preprocessing 3
% 81.42/12.41 % (1878383)Time elapsed: 0.139 s
% 81.42/12.41 % (1878383)Peak memory usage: 96 MB
% 81.42/12.41 % (1878383)Instructions burned: 128 (million)
% 81.42/12.41 % (1878390)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=47829015:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 81.42/12.41 % (1878390)Instruction limit reached!
% 81.42/12.41 % (1878390)------------------------------
% 81.42/12.41 % (1878390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.42/12.41 % (1878390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.42/12.41 % (1878390)CaDiCaL version: 2.1.3
% 81.42/12.41 % (1878390)Termination reason: Instruction limit
% 81.42/12.41 % (1878390)Termination phase: Preprocessing 3
% 81.42/12.41 % (1878390)Time elapsed: 0.068 s
% 81.42/12.41 % (1878390)Peak memory usage: 91 MB
% 81.42/12.41 % (1878390)Instructions burned: 115 (million)
% 81.42/12.41 % (1878391)lrs+10_1_sil=8000:sp=occurrence:random_seed=887542316:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 81.42/12.41 % (1878393)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=414988492:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 81.42/12.41 % (1878396)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=673570584:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 81.42/12.41 % (1878393)Instruction limit reached!
% 81.42/12.41 % (1878393)------------------------------
% 81.42/12.41 % (1878393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.42/12.41 % (1878393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.42/12.41 % (1878393)CaDiCaL version: 2.1.3
% 81.42/12.41 % (1878393)Termination reason: Instruction limit
% 81.42/12.41 % (1878393)Termination phase: Saturation
% 81.42/12.41 % (1878393)Time elapsed: 0.420 s
% 81.42/12.41 % (1878393)Peak memory usage: 98 MB
% 81.42/12.41 % (1878393)Instructions burned: 438 (million)
% 81.42/12.41 % (1878400)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2762848469:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 81.42/12.41 % (1878400)Instruction limit reached!
% 81.42/12.41 % (1878400)------------------------------
% 81.42/12.41 % (1878400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.42/12.41 % (1878400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.42/12.41 % (1878400)CaDiCaL version: 2.1.3
% 81.42/12.41 % (1878400)Termination reason: Instruction limit
% 81.42/12.41 % (1878400)Termination phase: Saturation
% 81.42/12.41 % (1878400)Time elapsed: 0.132 s
% 81.42/12.41 % (1878400)Peak memory usage: 95 MB
% 81.42/12.41 % (1878400)Instructions burned: 134 (million)
% 81.42/12.41 % (1878391)Instruction limit reached!
% 81.42/12.41 % (1878391)------------------------------
% 81.42/12.41 % (1878391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.42/12.41 % (1878391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.42/12.41 % (1878391)CaDiCaL version: 2.1.3
% 81.42/12.41 % (1878391)Termination reason: Instruction limit
% 81.42/12.41 % (1878391)Termination phase: Saturation
% 81.42/12.41 % (1878391)Time elapsed: 0.936 s
% 81.42/12.41 % (1878391)Peak memory usage: 107 MB
% 81.42/12.41 % (1878391)Instructions burned: 908 (million)
% 81.42/12.41 % (1878403)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=85358903:st=3:i=13193:sd=3:ss=axioms_2970 on theBenchmark for (2970ds/13193Mi)
% 81.42/12.41 % (1878402)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3347571490:st=8:i=592:sd=3:ep=RST:ss=axioms_2971 on theBenchmark for (2971ds/592Mi)
% 81.42/12.41 % (1878402)Instruction limit reached!
% 81.42/12.41 % (1878402)------------------------------
% 81.42/12.41 % (1878402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.42/12.41 % (1878402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.42/12.41 % (1878402)CaDiCaL version: 2.1.3
% 81.42/12.41 % (1878402)Termination reason: Instruction limit
% 81.42/12.41 % (1878402)Termination phase: Saturation
% 81.42/12.41 % (1878402)Time elapsed: 0.537 s
% 81.42/12.41 % (1878402)Peak memory usage: 106 MB
% 81.42/12.41 % (1878402)Instructions burned: 593 (million)
% 81.42/12.41 % (1878381)Instruction limit reached!
% 81.42/12.41 % (1878381)------------------------------
% 81.42/12.41 % (1878381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878381)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878381)Termination reason: Instruction limit
% 70.46/12.56 % (1878381)Termination phase: Saturation
% 70.46/12.56 % (1878381)Time elapsed: 2.390 s
% 70.46/12.56 % (1878381)Peak memory usage: 242 MB
% 70.46/12.56 % (1878381)Instructions burned: 2350 (million)
% 70.46/12.56 % (1878406)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=2731343448:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/125Mi)
% 70.46/12.56 % (1878406)Instruction limit reached!
% 70.46/12.56 % (1878406)------------------------------
% 70.46/12.56 % (1878406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878406)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878406)Termination reason: Instruction limit
% 70.46/12.56 % (1878406)Termination phase: Preprocessing 3
% 70.46/12.56 % (1878406)Time elapsed: 0.130 s
% 70.46/12.56 % (1878406)Peak memory usage: 93 MB
% 70.46/12.56 % (1878406)Instructions burned: 125 (million)
% 70.46/12.56 % (1878407)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3004572748:i=134:gtgl=5:slsql=off:gtg=exists_sym_2960 on theBenchmark for (2960ds/134Mi)
% 70.46/12.56 % (1878407)Instruction limit reached!
% 70.46/12.56 % (1878407)------------------------------
% 70.46/12.56 % (1878407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878407)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878407)Termination reason: Instruction limit
% 70.46/12.56 % (1878407)Termination phase: Unused predicate definition removal
% 70.46/12.56 % (1878407)Time elapsed: 0.079 s
% 70.46/12.56 % (1878407)Peak memory usage: 90 MB
% 70.46/12.56 % (1878407)Instructions burned: 134 (million)
% 70.46/12.56 % (1878409)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3105290000:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/141Mi)
% 70.46/12.56 % (1878412)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2047856796:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 70.46/12.56 % (1878409)Instruction limit reached!
% 70.46/12.56 % (1878409)------------------------------
% 70.46/12.56 % (1878409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878409)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878409)Termination reason: Instruction limit
% 70.46/12.56 % (1878409)Termination phase: Saturation
% 70.46/12.56 % (1878409)Time elapsed: 0.143 s
% 70.46/12.56 % (1878409)Peak memory usage: 95 MB
% 70.46/12.56 % (1878409)Instructions burned: 141 (million)
% 70.46/12.56 % (1878416)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=2037230428:i=6060:aac=none:ins=25_2954 on theBenchmark for (2954ds/6060Mi)
% 70.46/12.56 % (1878412)Instruction limit reached!
% 70.46/12.56 % (1878412)------------------------------
% 70.46/12.56 % (1878412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878412)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878412)Termination reason: Instruction limit
% 70.46/12.56 % (1878412)Termination phase: Saturation
% 70.46/12.56 % (1878412)Time elapsed: 0.454 s
% 70.46/12.56 % (1878412)Peak memory usage: 98 MB
% 70.46/12.56 % (1878412)Instructions burned: 432 (million)
% 70.46/12.56 % (1878419)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=2246448186:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2950 on theBenchmark for (2950ds/150Mi)
% 70.46/12.56 % (1878419)Instruction limit reached!
% 70.46/12.56 % (1878419)------------------------------
% 70.46/12.56 % (1878419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878419)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878419)Termination reason: Instruction limit
% 70.46/12.56 % (1878419)Termination phase: Preprocessing 3
% 70.46/12.56 % (1878419)Time elapsed: 0.173 s
% 70.46/12.56 % (1878419)Peak memory usage: 96 MB
% 70.46/12.56 % (1878419)Instructions burned: 150 (million)
% 70.46/12.56 % (1878422)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4258726432:i=14155:bd=all_2945 on theBenchmark for (2945ds/14155Mi)
% 70.46/12.56 % (1878396)Instruction limit reached!
% 70.46/12.56 % (1878396)------------------------------
% 70.46/12.56 % (1878396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878396)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878396)Termination reason: Instruction limit
% 70.46/12.56 % (1878396)Termination phase: Saturation
% 70.46/12.56 % (1878396)Time elapsed: 4.885 s
% 70.46/12.56 % (1878396)Peak memory usage: 216 MB
% 70.46/12.56 % (1878396)Instructions burned: 5203 (million)
% 70.46/12.56 % (1878425)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=618166324:i=667:av=off:fsr=off_2928 on theBenchmark for (2928ds/667Mi)
% 70.46/12.56 % (1878425)Instruction limit reached!
% 70.46/12.56 % (1878425)------------------------------
% 70.46/12.56 % (1878425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878425)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878425)Termination reason: Instruction limit
% 70.46/12.56 % (1878425)Termination phase: Saturation
% 70.46/12.56 % (1878425)Time elapsed: 0.610 s
% 70.46/12.56 % (1878425)Peak memory usage: 106 MB
% 70.46/12.56 % (1878425)Instructions burned: 667 (million)
% 70.46/12.56 % (1878428)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=2787689639:s2a=on:i=185:s2at=1.8:fdi=4_2919 on theBenchmark for (2919ds/185Mi)
% 70.46/12.56 % (1878428)Instruction limit reached!
% 70.46/12.56 % (1878428)------------------------------
% 70.46/12.56 % (1878428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878428)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878428)Termination reason: Instruction limit
% 70.46/12.56 % (1878428)Termination phase: NewCNF
% 70.46/12.56 % (1878428)Time elapsed: 0.202 s
% 70.46/12.56 % (1878428)Peak memory usage: 98 MB
% 70.46/12.56 % (1878428)Instructions burned: 185 (million)
% 70.46/12.56 % (1878430)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1118342260:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2914 on theBenchmark for (2914ds/193Mi)
% 70.46/12.56 % (1878430)Instruction limit reached!
% 70.46/12.56 % (1878430)------------------------------
% 70.46/12.56 % (1878430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878430)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878430)Termination reason: Instruction limit
% 70.46/12.56 % (1878430)Termination phase: Saturation
% 70.46/12.56 % (1878430)Time elapsed: 0.118 s
% 70.46/12.56 % (1878430)Peak memory usage: 97 MB
% 70.46/12.56 % (1878430)Instructions burned: 193 (million)
% 70.46/12.56 % (1878432)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=171282540:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2910 on theBenchmark for (2910ds/4850Mi)
% 70.46/12.56 % (1878416)Instruction limit reached!
% 70.46/12.56 % (1878416)------------------------------
% 70.46/12.56 % (1878416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878416)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878416)Termination reason: Instruction limit
% 70.46/12.56 % (1878416)Termination phase: Saturation
% 70.46/12.56 % (1878416)Time elapsed: 5.082 s
% 70.46/12.56 % (1878416)Peak memory usage: 232 MB
% 70.46/12.56 % (1878416)Instructions burned: 6061 (million)
% 70.46/12.56 % (1878587)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=193317620:i=12111:sd=1:ss=included_2900 on theBenchmark for (2900ds/12111Mi)
% 70.46/12.56 % (1878356)First to succeed.
% 70.46/12.56 % (1878356)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1878349"
% 70.46/12.56 % (1878432)Instruction limit reached!
% 70.46/12.56 % (1878432)------------------------------
% 70.46/12.56 % (1878432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.46/12.56 % (1878432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.46/12.56 % (1878432)CaDiCaL version: 2.1.3
% 70.46/12.56 % (1878432)Termination reason: Instruction limit
% 70.46/12.56 % (1878432)Termination phase: Saturation
% 70.46/12.56 % (1878432)Time elapsed: 2.555 s
% 70.46/12.56 % (1878432)Peak memory usage: 125 MB
% 70.46/12.56 % (1878432)Instructions burned: 4850 (million)
% 70.46/12.56 % (1878356)Refutation found. Thanks to Tanya!
% 70.46/12.56 % SZS status Theorem for theBenchmark
% 70.46/12.56 % SZS output start Proof for theBenchmark
% See solution above
% 82.65/12.77 % (1878356)------------------------------
% 82.65/12.77 % (1878356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.65/12.77 % (1878356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.65/12.77 % (1878356)CaDiCaL version: 2.1.3
% 82.65/12.77 % (1878356)Termination reason: Refutation
% 82.65/12.77 % (1878356)Time elapsed: 11.051 s
% 82.65/12.77 % (1878356)Peak memory usage: 270 MB
% 82.65/12.77 % (1878356)Instructions burned: 12319 (million)
% 82.65/12.77 % (1878356)------------------------------
% 82.65/12.77 % (1878356)------------------------------
% 82.65/12.77 % (1878349)Success in time 11.795 s
% 82.65/12.77 % Vampire exiting
%------------------------------------------------------------------------------