%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT343+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:07 AM UTC 2026
% Result : Theorem 16.10s 3.09s
% Output : Refutation 16.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 233 ( 30 unt; 12 def)
% Number of atoms : 945 ( 141 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 1194 ( 482 ~; 526 |; 138 &)
% ( 19 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 27 ( 25 usr; 13 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 3 con; 0-4 aty)
% Number of variables : 261 ( 0 sgn 231 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1204,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1827,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f1886,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(f5252,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l1_conlat_1(X0) )
=> ~ v1_xboole_0(u2_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_conlat_1) ).
fof(f5253,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l1_conlat_1(X0) )
=> ~ v1_xboole_0(u1_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_conlat_1) ).
fof(f5296,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0)))
=> ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0)))
=> ( ( ~ v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& r1_tarski(X1,X2) )
=> r1_tarski(k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_conlat_1) ).
fof(f5298,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0)))
=> ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0)))
=> ( ( ~ v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
& r1_tarski(X1,X3) )
=> r1_tarski(k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1)),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_conlat_1) ).
fof(f5345,axiom,
! [X0] :
( l2_conlat_1(X0)
=> l1_conlat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
fof(f5457,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_conlat_2) ).
fof(f5458,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_conlat_2) ).
fof(f5479,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
=> ( X1 = k4_conlat_2(X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_conlat_1(X0))
=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_conlat_2) ).
fof(f5480,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
=> ( X1 = k5_conlat_2(X0)
<=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_conlat_2) ).
fof(f5481,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_conlat_2) ).
fof(f5482,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_conlat_1(X0))
=> ! [X2] :
( m1_subset_1(X2,u2_conlat_1(X0))
=> ( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
& l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5481]) ).
fof(f5534,plain,
! [X0] :
( ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5457]) ).
fof(f5535,plain,
! [X0] :
( ( v1_funct_1(k4_conlat_2(X0))
& v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5534]) ).
fof(f5536,plain,
! [X0] :
( ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5458]) ).
fof(f5537,plain,
! [X0] :
( ( v1_funct_1(k5_conlat_2(X0))
& v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
& m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5536]) ).
fof(f5578,plain,
! [X0] :
( ! [X1] :
( ( X1 = k4_conlat_2(X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) ) )
| ~ m1_subset_1(X2,u1_conlat_1(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5479]) ).
fof(f5579,plain,
! [X0] :
( ! [X1] :
( ( X1 = k4_conlat_2(X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) ) )
| ~ m1_subset_1(X2,u1_conlat_1(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5578]) ).
fof(f5580,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_conlat_2(X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) ) )
| ~ m1_subset_1(X2,u2_conlat_1(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5480]) ).
fof(f5581,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_conlat_2(X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) ) )
| ~ m1_subset_1(X2,u2_conlat_1(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5580]) ).
fof(f5582,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) )
& m1_subset_1(X2,u2_conlat_1(X0)) )
& m1_subset_1(X1,u1_conlat_1(X0)) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5482]) ).
fof(f5583,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X1),X0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X2),X0) )
& m1_subset_1(X2,u2_conlat_1(X0)) )
& m1_subset_1(X1,u1_conlat_1(X0)) )
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f5582]) ).
fof(f5724,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f1827]) ).
fof(f5725,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f5724]) ).
fof(f5836,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f1886]) ).
fof(f5837,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f5836]) ).
fof(f5844,plain,
! [X0] :
( ! [X1] :
( ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& ! [X2] :
( ! [X3] :
( r1_tarski(k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1)),X3)
| v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0))) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5298]) ).
fof(f5845,plain,
! [X0] :
( ! [X1] :
( ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0)
& ! [X2] :
( ! [X3] :
( r1_tarski(k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1)),X3)
| v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0))) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5844]) ).
fof(f5848,plain,
! [X0] :
( ! [X1] :
( ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& ! [X2] :
( ! [X3] :
( r1_tarski(k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X2)
| v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0))) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5296]) ).
fof(f5849,plain,
! [X0] :
( ! [X1] :
( ( ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0)
& ! [X2] :
( ! [X3] :
( r1_tarski(k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X2)
| v7_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ v9_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ l3_conlat_1(g3_conlat_1(X0,X2,X3),X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X0))) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5848]) ).
fof(f6447,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5345]) ).
fof(f6456,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f5253]) ).
fof(f6457,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(flattening,[],[f6456]) ).
fof(f6458,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f5252]) ).
fof(f6459,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(flattening,[],[f6458]) ).
fof(f8100,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k4_conlat_2(X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) != g3_conlat_1(X0,X3,X4)
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2))) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) != X4 ) )
& m1_subset_1(X2,u1_conlat_1(X0)) ) )
& ( ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) ) )
| ~ m1_subset_1(X2,u1_conlat_1(X0)) )
| k4_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f5579]) ).
fof(f8101,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k4_conlat_2(X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) != g3_conlat_1(X0,X3,X4)
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2))) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X2)) != X4 ) )
& m1_subset_1(X2,u1_conlat_1(X0)) ) )
& ( ! [X5] :
( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,X6,X7)
& k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5))) = X6
& k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5)) = X7 ) )
| ~ m1_subset_1(X5,u1_conlat_1(X0)) )
| k4_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rectify,[],[f8100]) ).
fof(f8102,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k4_conlat_2(X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| g3_conlat_1(X0,X3,X4) != k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,sK19(X0,X1))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),sK19(X0,X1)))) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),sK19(X0,X1))) != X4 ) )
& m1_subset_1(sK19(X0,X1),u1_conlat_1(X0)) ) )
& ( ! [X5] :
( ( m1_subset_1(sK20(X0,X1,X5),k1_zfmisc_1(u1_conlat_1(X0)))
& m1_subset_1(sK21(X0,X1,X5),k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,sK20(X0,X1,X5),sK21(X0,X1,X5))
& k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5))) = sK20(X0,X1,X5)
& k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5)) = sK21(X0,X1,X5) )
| ~ m1_subset_1(X5,u1_conlat_1(X0)) )
| k4_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X2,sK19(X0,X1)),skolemize(X6,sK20(X0,X1,X5)),skolemize(X7,sK21(X0,X1,X5))],[f8101]) ).
fof(f8103,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_conlat_2(X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| g3_conlat_1(X0,X3,X4) != k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2)
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2)) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) != X4 ) )
& m1_subset_1(X2,u2_conlat_1(X0)) ) )
& ( ! [X2] :
( ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2) = g3_conlat_1(X0,X3,X4)
& X3 = k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))
& X4 = k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) ) )
| ~ m1_subset_1(X2,u2_conlat_1(X0)) )
| k5_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f5581]) ).
fof(f8104,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_conlat_2(X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| g3_conlat_1(X0,X3,X4) != k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X2)
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2)) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X2))) != X4 ) )
& m1_subset_1(X2,u2_conlat_1(X0)) ) )
& ( ! [X5] :
( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_conlat_1(X0)))
& ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(u2_conlat_1(X0)))
& g3_conlat_1(X0,X6,X7) = k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5)
& k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5)) = X6
& k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5))) = X7 ) )
| ~ m1_subset_1(X5,u2_conlat_1(X0)) )
| k5_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rectify,[],[f8103]) ).
fof(f8105,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_conlat_2(X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_conlat_1(X0)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u2_conlat_1(X0)))
| g3_conlat_1(X0,X3,X4) != k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,sK22(X0,X1))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),sK22(X0,X1))) != X3
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),sK22(X0,X1)))) != X4 ) )
& m1_subset_1(sK22(X0,X1),u2_conlat_1(X0)) ) )
& ( ! [X5] :
( ( m1_subset_1(sK23(X0,X1,X5),k1_zfmisc_1(u1_conlat_1(X0)))
& m1_subset_1(sK24(X0,X1,X5),k1_zfmisc_1(u2_conlat_1(X0)))
& k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,sK23(X0,X1,X5),sK24(X0,X1,X5))
& k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5)) = sK23(X0,X1,X5)
& k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5))) = sK24(X0,X1,X5) )
| ~ m1_subset_1(X5,u2_conlat_1(X0)) )
| k5_conlat_2(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0))) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X2,sK22(X0,X1)),skolemize(X6,sK23(X0,X1,X5)),skolemize(X7,sK24(X0,X1,X5))],[f8104]) ).
fof(f8106,plain,
( ( v7_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25) )
& m1_subset_1(sK27,u2_conlat_1(sK25))
& m1_subset_1(sK26,u1_conlat_1(sK25))
& ~ v3_conlat_1(sK25)
& l2_conlat_1(sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27]),skolemize(X0,sK25),skolemize(X1,sK26),skolemize(X2,sK27)],[f5583]) ).
fof(f8204,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,[],[f1204]) ).
fof(f8983,plain,
! [X0] :
( m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5535]) ).
fof(f8984,plain,
! [X0] :
( v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5535]) ).
fof(f8985,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k4_conlat_2(X0)) ),
inference(cnf_transformation,[],[f5535]) ).
fof(f8986,plain,
! [X0] :
( m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5537]) ).
fof(f8987,plain,
! [X0] :
( v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5537]) ).
fof(f8988,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v1_funct_1(k5_conlat_2(X0)) ),
inference(cnf_transformation,[],[f5537]) ).
fof(f9039,plain,
! [X0,X1,X5] :
( k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5)) = sK21(X0,X1,X5)
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k4_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f8102]) ).
fof(f9040,plain,
! [X0,X1,X5] :
( k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5))) = sK20(X0,X1,X5)
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k4_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f8102]) ).
fof(f9041,plain,
! [X0,X1,X5] :
( k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,sK20(X0,X1,X5),sK21(X0,X1,X5))
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k4_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f8102]) ).
fof(f9046,plain,
! [X0,X1,X5] :
( k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5))) = sK24(X0,X1,X5)
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k5_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f8105]) ).
fof(f9047,plain,
! [X0,X1,X5] :
( k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5)) = sK23(X0,X1,X5)
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k5_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f8105]) ).
fof(f9048,plain,
! [X0,X1,X5] :
( k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),X1,X5) = g3_conlat_1(X0,sK23(X0,X1,X5),sK24(X0,X1,X5))
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k5_conlat_2(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(X1,u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f8105]) ).
fof(f9053,plain,
l2_conlat_1(sK25),
inference(cnf_transformation,[],[f8106]) ).
fof(f9054,plain,
~ v3_conlat_1(sK25),
inference(cnf_transformation,[],[f8106]) ).
fof(f9055,plain,
m1_subset_1(sK26,u1_conlat_1(sK25)),
inference(cnf_transformation,[],[f8106]) ).
fof(f9056,plain,
m1_subset_1(sK27,u2_conlat_1(sK25)),
inference(cnf_transformation,[],[f8106]) ).
fof(f9057,plain,
( v7_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| v7_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25) ),
inference(cnf_transformation,[],[f8106]) ).
fof(f9339,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k1_funct_1(X2,X3) = k8_funct_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f5725]) ).
fof(f9507,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f5837]) ).
fof(f9519,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0)))
| v3_conlat_1(X0)
| l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0) ),
inference(cnf_transformation,[],[f5845]) ).
fof(f9520,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0)))
| v3_conlat_1(X0)
| v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0) ),
inference(cnf_transformation,[],[f5845]) ).
fof(f9521,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),X1))),X0) ),
inference(cnf_transformation,[],[f5845]) ).
fof(f9528,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0)))
| v3_conlat_1(X0)
| l3_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0) ),
inference(cnf_transformation,[],[f5849]) ).
fof(f9529,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0)))
| v3_conlat_1(X0)
| v9_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0) ),
inference(cnf_transformation,[],[f5849]) ).
fof(f9530,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ v7_conlat_1(g3_conlat_1(X0,k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),X1)),X0) ),
inference(cnf_transformation,[],[f5849]) ).
fof(f9548,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8204]) ).
fof(f10640,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f6447]) ).
fof(f10654,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f6457]) ).
fof(f10655,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f6459]) ).
fof(f13890,plain,
! [X0,X5] :
( ~ v1_funct_1(k4_conlat_2(X0))
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k8_funct_2(u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k4_conlat_2(X0),X5) = g3_conlat_1(X0,sK20(X0,k4_conlat_2(X0),X5),sK21(X0,k4_conlat_2(X0),X5))
| ~ v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f9041]) ).
fof(f13891,plain,
! [X0,X5] :
( ~ v1_funct_1(k4_conlat_2(X0))
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5))) = sK20(X0,k4_conlat_2(X0),X5)
| ~ v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f9040]) ).
fof(f13892,plain,
! [X0,X5] :
( ~ v1_funct_1(k4_conlat_2(X0))
| ~ m1_subset_1(X5,u1_conlat_1(X0))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k6_domain_1(u1_conlat_1(X0),X5)) = sK21(X0,k4_conlat_2(X0),X5)
| ~ v1_funct_2(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k4_conlat_2(X0),u1_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f9039]) ).
fof(f13897,plain,
! [X0,X5] :
( ~ v1_funct_1(k5_conlat_2(X0))
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k8_funct_2(u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)),k5_conlat_2(X0),X5) = g3_conlat_1(X0,sK23(X0,k5_conlat_2(X0),X5),sK24(X0,k5_conlat_2(X0),X5))
| ~ v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f9048]) ).
fof(f13898,plain,
! [X0,X5] :
( ~ v1_funct_1(k5_conlat_2(X0))
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5)) = sK23(X0,k5_conlat_2(X0),X5)
| ~ v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f9047]) ).
fof(f13899,plain,
! [X0,X5] :
( ~ v1_funct_1(k5_conlat_2(X0))
| ~ m1_subset_1(X5,u2_conlat_1(X0))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(X0)),k1_zfmisc_1(u2_conlat_1(X0)),k1_conlat_1(X0),k8_funct_2(k1_zfmisc_1(u2_conlat_1(X0)),k1_zfmisc_1(u1_conlat_1(X0)),k2_conlat_1(X0),k6_domain_1(u2_conlat_1(X0),X5))) = sK24(X0,k5_conlat_2(X0),X5)
| ~ v1_funct_2(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| ~ m2_relset_1(k5_conlat_2(X0),u2_conlat_1(X0),u1_struct_0(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f9046]) ).
fof(f14486,definition,
( spl537_11
<=> l3_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25) ),
introduced(definition,[new_symbols(definition,[spl537_11])],[avatar_definition]) ).
fof(f14489,definition,
( spl537_12
<=> v9_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25) ),
introduced(definition,[new_symbols(definition,[spl537_12])],[avatar_definition]) ).
fof(f14492,definition,
( spl537_13
<=> v7_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25) ),
introduced(definition,[new_symbols(definition,[spl537_13])],[avatar_definition]) ).
fof(f14495,definition,
( spl537_14
<=> l3_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25) ),
introduced(definition,[new_symbols(definition,[spl537_14])],[avatar_definition]) ).
fof(f14498,definition,
( spl537_15
<=> v9_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25) ),
introduced(definition,[new_symbols(definition,[spl537_15])],[avatar_definition]) ).
fof(f14499,plain,
( ~ v9_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| spl537_15 ),
inference(avatar_component_clause,[],[f14498]) ).
fof(f14501,definition,
( spl537_16
<=> v7_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25) ),
introduced(definition,[new_symbols(definition,[spl537_16])],[avatar_definition]) ).
fof(f14502,plain,
( v7_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| ~ spl537_16 ),
inference(avatar_component_clause,[],[f14501]) ).
fof(f14503,plain,
( ~ spl537_11
| ~ spl537_12
| spl537_13
| ~ spl537_14
| ~ spl537_15
| spl537_16 ),
inference(avatar_split_clause,[],[f9057,f14501,f14498,f14495,f14492,f14489,f14486]) ).
fof(f14556,plain,
( v3_conlat_1(sK25)
| v1_funct_1(k4_conlat_2(sK25)) ),
inference(resolution,[],[f8985,f9053]) ).
fof(f14557,plain,
v1_funct_1(k4_conlat_2(sK25)),
inference(forward_subsumption_resolution,[],[f14556,f9054]) ).
fof(f14558,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0))) = sK20(sK25,k4_conlat_2(sK25),X0)
| ~ v1_funct_2(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| ~ m2_relset_1(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(resolution,[],[f14557,f13891]) ).
fof(f14559,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0)) = sK21(sK25,k4_conlat_2(sK25),X0)
| ~ v1_funct_2(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| ~ m2_relset_1(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(resolution,[],[f14557,f13892]) ).
fof(f14560,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),X0),sK21(sK25,k4_conlat_2(sK25),X0))
| ~ v1_funct_2(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| ~ m2_relset_1(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(resolution,[],[f14557,f13890]) ).
fof(f14561,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),X0),sK21(sK25,k4_conlat_2(sK25),X0))
| ~ m2_relset_1(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14560,f8984]) ).
fof(f14562,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0)) = sK21(sK25,k4_conlat_2(sK25),X0)
| ~ m2_relset_1(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14559,f8984]) ).
fof(f14563,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0))) = sK20(sK25,k4_conlat_2(sK25),X0)
| ~ m2_relset_1(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14558,f8984]) ).
fof(f14564,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),X0),sK21(sK25,k4_conlat_2(sK25),X0))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14561,f8983]) ).
fof(f14565,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0)) = sK21(sK25,k4_conlat_2(sK25),X0)
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14562,f8983]) ).
fof(f14566,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0))) = sK20(sK25,k4_conlat_2(sK25),X0)
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14563,f8983]) ).
fof(f14567,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),X0),sK21(sK25,k4_conlat_2(sK25),X0))
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14564,f9054]) ).
fof(f14568,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0)) = sK21(sK25,k4_conlat_2(sK25),X0)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14565,f9054]) ).
fof(f14569,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0))) = sK20(sK25,k4_conlat_2(sK25),X0)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14566,f9054]) ).
fof(f14570,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),X0),sK21(sK25,k4_conlat_2(sK25),X0)) ),
inference(forward_subsumption_resolution,[],[f14567,f9053]) ).
fof(f14571,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0)) = sK21(sK25,k4_conlat_2(sK25),X0) ),
inference(forward_subsumption_resolution,[],[f14568,f9053]) ).
fof(f14572,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),X0))) = sK20(sK25,k4_conlat_2(sK25),X0) ),
inference(forward_subsumption_resolution,[],[f14569,f9053]) ).
fof(f14573,plain,
k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),sK26)) = sK21(sK25,k4_conlat_2(sK25),sK26),
inference(resolution,[],[f14571,f9055]) ).
fof(f14574,plain,
k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k6_domain_1(u1_conlat_1(sK25),sK26))) = sK20(sK25,k4_conlat_2(sK25),sK26),
inference(resolution,[],[f14572,f9055]) ).
fof(f14575,plain,
sK20(sK25,k4_conlat_2(sK25),sK26) = k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),sK21(sK25,k4_conlat_2(sK25),sK26)),
inference(forward_demodulation,[],[f14574,f14573]) ).
fof(f14576,plain,
( v3_conlat_1(sK25)
| v1_funct_1(k5_conlat_2(sK25)) ),
inference(resolution,[],[f8988,f9053]) ).
fof(f14577,plain,
v1_funct_1(k5_conlat_2(sK25)),
inference(forward_subsumption_resolution,[],[f14576,f9054]) ).
fof(f14578,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0))) = sK24(sK25,k5_conlat_2(sK25),X0)
| ~ v1_funct_2(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| ~ m2_relset_1(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(resolution,[],[f14577,f13899]) ).
fof(f14579,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0)) = sK23(sK25,k5_conlat_2(sK25),X0)
| ~ v1_funct_2(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| ~ m2_relset_1(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(resolution,[],[f14577,f13898]) ).
fof(f14580,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),X0),sK24(sK25,k5_conlat_2(sK25),X0))
| ~ v1_funct_2(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| ~ m2_relset_1(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(resolution,[],[f14577,f13897]) ).
fof(f14581,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),X0),sK24(sK25,k5_conlat_2(sK25),X0))
| ~ m2_relset_1(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14580,f8987]) ).
fof(f14582,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0)) = sK23(sK25,k5_conlat_2(sK25),X0)
| ~ m2_relset_1(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14579,f8987]) ).
fof(f14583,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0))) = sK24(sK25,k5_conlat_2(sK25),X0)
| ~ m2_relset_1(k5_conlat_2(sK25),u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14578,f8987]) ).
fof(f14584,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),X0),sK24(sK25,k5_conlat_2(sK25),X0))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14581,f8986]) ).
fof(f14585,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0)) = sK23(sK25,k5_conlat_2(sK25),X0)
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14582,f8986]) ).
fof(f14586,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0))) = sK24(sK25,k5_conlat_2(sK25),X0)
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14583,f8986]) ).
fof(f14587,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),X0),sK24(sK25,k5_conlat_2(sK25),X0))
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14584,f9054]) ).
fof(f14588,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0)) = sK23(sK25,k5_conlat_2(sK25),X0)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14585,f9054]) ).
fof(f14589,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0))) = sK24(sK25,k5_conlat_2(sK25),X0)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14586,f9054]) ).
fof(f14590,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),X0) = g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),X0),sK24(sK25,k5_conlat_2(sK25),X0)) ),
inference(forward_subsumption_resolution,[],[f14587,f9053]) ).
fof(f14591,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0)) = sK23(sK25,k5_conlat_2(sK25),X0) ),
inference(forward_subsumption_resolution,[],[f14588,f9053]) ).
fof(f14592,plain,
! [X0] :
( ~ m1_subset_1(X0,u2_conlat_1(sK25))
| k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),X0))) = sK24(sK25,k5_conlat_2(sK25),X0) ),
inference(forward_subsumption_resolution,[],[f14589,f9053]) ).
fof(f14593,plain,
k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),sK27)) = sK23(sK25,k5_conlat_2(sK25),sK27),
inference(resolution,[],[f14591,f9056]) ).
fof(f14594,plain,
k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k6_domain_1(u2_conlat_1(sK25),sK27))) = sK24(sK25,k5_conlat_2(sK25),sK27),
inference(resolution,[],[f14592,f9056]) ).
fof(f14595,plain,
sK24(sK25,k5_conlat_2(sK25),sK27) = k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),sK23(sK25,k5_conlat_2(sK25),sK27)),
inference(forward_demodulation,[],[f14594,f14593]) ).
fof(f14596,plain,
k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27) = g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),sK27),sK24(sK25,k5_conlat_2(sK25),sK27)),
inference(resolution,[],[f14590,f9056]) ).
fof(f14597,plain,
k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26) = g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),sK26),sK21(sK25,k4_conlat_2(sK25),sK26)),
inference(resolution,[],[f14570,f9055]) ).
fof(f14635,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK25)))
| v3_conlat_1(sK25)
| l3_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),sK25) ),
inference(resolution,[],[f9528,f9053]) ).
fof(f14636,plain,
! [X0] :
( l3_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),sK25)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_subsumption_resolution,[],[f14635,f9054]) ).
fof(f14637,plain,
( l3_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),sK21(sK25,k4_conlat_2(sK25),sK26)),sK21(sK25,k4_conlat_2(sK25),sK26)),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(superposition,[],[f14636,f14573]) ).
fof(f14646,plain,
( l3_conlat_1(g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),sK26),sK21(sK25,k4_conlat_2(sK25),sK26)),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14637,f14575]) ).
fof(f14647,plain,
( l3_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14646,f14597]) ).
fof(f14649,definition,
( spl537_21
<=> m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
introduced(definition,[new_symbols(definition,[spl537_21])],[avatar_definition]) ).
fof(f14650,plain,
( ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25)))
| spl537_21 ),
inference(avatar_component_clause,[],[f14649]) ).
fof(f14652,plain,
( ~ spl537_21
| spl537_14 ),
inference(avatar_split_clause,[],[f14647,f14495,f14649]) ).
fof(f14661,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK25)))
| v3_conlat_1(sK25)
| l3_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0))),sK25) ),
inference(resolution,[],[f9519,f9053]) ).
fof(f14662,plain,
! [X0] :
( l3_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0))),sK25)
| ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_subsumption_resolution,[],[f14661,f9054]) ).
fof(f14664,plain,
( l3_conlat_1(g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),sK27),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),sK23(sK25,k5_conlat_2(sK25),sK27))),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(superposition,[],[f14662,f14593]) ).
fof(f14665,plain,
( l3_conlat_1(g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),sK27),sK24(sK25,k5_conlat_2(sK25),sK27)),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14664,f14595]) ).
fof(f14673,plain,
( l3_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14665,f14596]) ).
fof(f14675,definition,
( spl537_24
<=> m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
introduced(definition,[new_symbols(definition,[spl537_24])],[avatar_definition]) ).
fof(f14676,plain,
( ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25)))
| spl537_24 ),
inference(avatar_component_clause,[],[f14675]) ).
fof(f14678,plain,
( ~ spl537_24
| spl537_11 ),
inference(avatar_split_clause,[],[f14673,f14486,f14675]) ).
fof(f14687,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ v7_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),sK25) ),
inference(resolution,[],[f9530,f9053]) ).
fof(f14688,plain,
! [X0] :
( ~ v7_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),sK25)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_subsumption_resolution,[],[f14687,f9054]) ).
fof(f14689,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK25)))
| v3_conlat_1(sK25)
| ~ v7_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0))),sK25) ),
inference(resolution,[],[f9521,f9053]) ).
fof(f14690,plain,
! [X0] :
( ~ v7_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0))),sK25)
| ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_subsumption_resolution,[],[f14689,f9054]) ).
fof(f14695,plain,
( ~ v7_conlat_1(g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),sK27),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),sK23(sK25,k5_conlat_2(sK25),sK27))),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(superposition,[],[f14690,f14593]) ).
fof(f14705,plain,
( ~ v7_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),sK21(sK25,k4_conlat_2(sK25),sK26)),sK21(sK25,k4_conlat_2(sK25),sK26)),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(superposition,[],[f14688,f14573]) ).
fof(f14713,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| k1_funct_1(X0,X3) = k8_funct_2(X1,X2,X0,X3)
| ~ m1_subset_1(X3,X1) ),
inference(resolution,[],[f9548,f9339]) ).
fof(f14715,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK25)))
| v3_conlat_1(sK25)
| v9_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),sK25) ),
inference(resolution,[],[f9529,f9053]) ).
fof(f14716,plain,
! [X0] :
( v9_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),X0)),sK25)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_subsumption_resolution,[],[f14715,f9054]) ).
fof(f14717,plain,
( v9_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),sK21(sK25,k4_conlat_2(sK25),sK26)),sK21(sK25,k4_conlat_2(sK25),sK26)),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(superposition,[],[f14716,f14573]) ).
fof(f14723,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(k4_conlat_2(sK25),X0,X1)
| ~ m2_relset_1(k4_conlat_2(sK25),X0,X1)
| v1_xboole_0(X0)
| k1_funct_1(k4_conlat_2(sK25),X2) = k8_funct_2(X0,X1,k4_conlat_2(sK25),X2)
| ~ m1_subset_1(X2,X0) ),
inference(resolution,[],[f14713,f14557]) ).
fof(f14725,plain,
! [X0] :
( ~ m2_relset_1(k4_conlat_2(sK25),u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)))
| v1_xboole_0(u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = k1_funct_1(k4_conlat_2(sK25),X0)
| ~ m1_subset_1(X0,u1_conlat_1(sK25))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(resolution,[],[f14723,f8984]) ).
fof(f14726,plain,
! [X0] :
( v1_xboole_0(u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = k1_funct_1(k4_conlat_2(sK25),X0)
| ~ m1_subset_1(X0,u1_conlat_1(sK25))
| v3_conlat_1(sK25)
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14725,f8983]) ).
fof(f14727,plain,
! [X0] :
( v1_xboole_0(u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = k1_funct_1(k4_conlat_2(sK25),X0)
| ~ m1_subset_1(X0,u1_conlat_1(sK25))
| ~ l2_conlat_1(sK25) ),
inference(forward_subsumption_resolution,[],[f14726,f9054]) ).
fof(f14728,plain,
! [X0] :
( v1_xboole_0(u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = k1_funct_1(k4_conlat_2(sK25),X0)
| ~ m1_subset_1(X0,u1_conlat_1(sK25)) ),
inference(forward_subsumption_resolution,[],[f14727,f9053]) ).
fof(f14730,definition,
( spl537_28
<=> ! [X0] :
( k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = k1_funct_1(k4_conlat_2(sK25),X0)
| ~ m1_subset_1(X0,u1_conlat_1(sK25)) ) ),
introduced(definition,[new_symbols(definition,[spl537_28])],[avatar_definition]) ).
fof(f14731,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_conlat_1(sK25))
| k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),X0) = k1_funct_1(k4_conlat_2(sK25),X0) )
| ~ spl537_28 ),
inference(avatar_component_clause,[],[f14730]) ).
fof(f14733,definition,
( spl537_29
<=> v1_xboole_0(u1_conlat_1(sK25)) ),
introduced(definition,[new_symbols(definition,[spl537_29])],[avatar_definition]) ).
fof(f14734,plain,
( v1_xboole_0(u1_conlat_1(sK25))
| ~ spl537_29 ),
inference(avatar_component_clause,[],[f14733]) ).
fof(f14735,plain,
( spl537_28
| spl537_29 ),
inference(avatar_split_clause,[],[f14728,f14733,f14730]) ).
fof(f14736,plain,
( k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26) = k1_funct_1(k4_conlat_2(sK25),sK26)
| ~ spl537_28 ),
inference(resolution,[],[f14731,f9055]) ).
fof(f14746,definition,
( spl537_31
<=> v1_xboole_0(u2_conlat_1(sK25)) ),
introduced(definition,[new_symbols(definition,[spl537_31])],[avatar_definition]) ).
fof(f14747,plain,
( v1_xboole_0(u2_conlat_1(sK25))
| ~ spl537_31 ),
inference(avatar_component_clause,[],[f14746]) ).
fof(f14855,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK25)))
| v3_conlat_1(sK25)
| v9_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0))),sK25) ),
inference(resolution,[],[f9520,f9053]) ).
fof(f14857,plain,
! [X0] :
( v9_conlat_1(g3_conlat_1(sK25,k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),k8_funct_2(k1_zfmisc_1(u2_conlat_1(sK25)),k1_zfmisc_1(u1_conlat_1(sK25)),k2_conlat_1(sK25),X0))),sK25)
| ~ m1_subset_1(X0,k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_subsumption_resolution,[],[f14855,f9054]) ).
fof(f14859,plain,
( v9_conlat_1(g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),sK27),k8_funct_2(k1_zfmisc_1(u1_conlat_1(sK25)),k1_zfmisc_1(u2_conlat_1(sK25)),k1_conlat_1(sK25),sK23(sK25,k5_conlat_2(sK25),sK27))),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(superposition,[],[f14857,f14593]) ).
fof(f14883,plain,
( v3_conlat_1(sK25)
| ~ l1_conlat_1(sK25)
| ~ spl537_29 ),
inference(resolution,[],[f14734,f10654]) ).
fof(f14884,plain,
( ~ l1_conlat_1(sK25)
| ~ spl537_29 ),
inference(forward_subsumption_resolution,[],[f14883,f9054]) ).
fof(f14886,plain,
( ~ l2_conlat_1(sK25)
| ~ spl537_29 ),
inference(resolution,[],[f14884,f10640]) ).
fof(f14888,plain,
( $false
| ~ spl537_29 ),
inference(forward_subsumption_resolution,[],[f14886,f9053]) ).
fof(f14889,plain,
~ spl537_29,
inference(avatar_contradiction_clause,[],[f14888]) ).
fof(f14892,plain,
( v1_xboole_0(u1_conlat_1(sK25))
| ~ m1_subset_1(sK26,u1_conlat_1(sK25))
| spl537_21 ),
inference(resolution,[],[f9507,f14650]) ).
fof(f14893,plain,
( v1_xboole_0(u2_conlat_1(sK25))
| ~ m1_subset_1(sK27,u2_conlat_1(sK25))
| spl537_24 ),
inference(resolution,[],[f9507,f14676]) ).
fof(f14903,plain,
( v1_xboole_0(u2_conlat_1(sK25))
| spl537_24 ),
inference(forward_subsumption_resolution,[],[f14893,f9056]) ).
fof(f14904,plain,
( v1_xboole_0(u1_conlat_1(sK25))
| spl537_21 ),
inference(forward_subsumption_resolution,[],[f14892,f9055]) ).
fof(f14905,plain,
( spl537_31
| spl537_24 ),
inference(avatar_split_clause,[],[f14903,f14675,f14746]) ).
fof(f14906,plain,
( spl537_29
| spl537_21 ),
inference(avatar_split_clause,[],[f14904,f14649,f14733]) ).
fof(f14909,plain,
( ~ v7_conlat_1(g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),sK27),sK24(sK25,k5_conlat_2(sK25),sK27)),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14695,f14595]) ).
fof(f14910,plain,
( v9_conlat_1(g3_conlat_1(sK25,sK23(sK25,k5_conlat_2(sK25),sK27),sK24(sK25,k5_conlat_2(sK25),sK27)),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14859,f14595]) ).
fof(f14911,plain,
( ~ v7_conlat_1(g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),sK26),sK21(sK25,k4_conlat_2(sK25),sK26)),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14705,f14575]) ).
fof(f14912,plain,
( v9_conlat_1(g3_conlat_1(sK25,sK20(sK25,k4_conlat_2(sK25),sK26),sK21(sK25,k4_conlat_2(sK25),sK26)),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14717,f14575]) ).
fof(f14913,plain,
( ~ v7_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14909,f14596]) ).
fof(f14914,plain,
( v9_conlat_1(k8_funct_2(u2_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k5_conlat_2(sK25),sK27),sK25)
| ~ m1_subset_1(k6_domain_1(u2_conlat_1(sK25),sK27),k1_zfmisc_1(u2_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14910,f14596]) ).
fof(f14915,plain,
( ~ v7_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14911,f14597]) ).
fof(f14916,plain,
( v9_conlat_1(k8_funct_2(u1_conlat_1(sK25),u1_struct_0(k11_conlat_1(sK25)),k4_conlat_2(sK25),sK26),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25))) ),
inference(forward_demodulation,[],[f14912,f14597]) ).
fof(f14919,plain,
( ~ v7_conlat_1(k1_funct_1(k4_conlat_2(sK25),sK26),sK25)
| ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25)))
| ~ spl537_28 ),
inference(forward_demodulation,[],[f14915,f14736]) ).
fof(f14920,plain,
( ~ m1_subset_1(k6_domain_1(u1_conlat_1(sK25),sK26),k1_zfmisc_1(u1_conlat_1(sK25)))
| spl537_15 ),
inference(forward_subsumption_resolution,[],[f14916,f14499]) ).
fof(f14930,definition,
( spl537_57
<=> v7_conlat_1(k1_funct_1(k4_conlat_2(sK25),sK26),sK25) ),
introduced(definition,[new_symbols(definition,[spl537_57])],[avatar_definition]) ).
fof(f14931,plain,
( ~ v7_conlat_1(k1_funct_1(k4_conlat_2(sK25),sK26),sK25)
| spl537_57 ),
inference(avatar_component_clause,[],[f14930]) ).
fof(f14932,plain,
( ~ spl537_21
| ~ spl537_57
| ~ spl537_28 ),
inference(avatar_split_clause,[],[f14919,f14730,f14930,f14649]) ).
fof(f14933,plain,
( ~ spl537_21
| spl537_15 ),
inference(avatar_split_clause,[],[f14920,f14498,f14649]) ).
fof(f14935,plain,
( ~ spl537_24
| ~ spl537_13 ),
inference(avatar_split_clause,[],[f14913,f14492,f14675]) ).
fof(f14943,plain,
( v7_conlat_1(k1_funct_1(k4_conlat_2(sK25),sK26),sK25)
| ~ spl537_16
| ~ spl537_28 ),
inference(forward_demodulation,[],[f14502,f14736]) ).
fof(f14945,plain,
( ~ spl537_24
| spl537_12 ),
inference(avatar_split_clause,[],[f14914,f14489,f14675]) ).
fof(f14946,plain,
( $false
| ~ spl537_16
| ~ spl537_28
| spl537_57 ),
inference(forward_subsumption_resolution,[],[f14943,f14931]) ).
fof(f14947,plain,
( ~ spl537_16
| ~ spl537_28
| spl537_57 ),
inference(avatar_contradiction_clause,[],[f14946]) ).
fof(f14949,plain,
( v3_conlat_1(sK25)
| ~ l1_conlat_1(sK25)
| ~ spl537_31 ),
inference(resolution,[],[f14747,f10655]) ).
fof(f14950,plain,
( ~ l1_conlat_1(sK25)
| ~ spl537_31 ),
inference(forward_subsumption_resolution,[],[f14949,f9054]) ).
fof(f14952,plain,
( ~ l2_conlat_1(sK25)
| ~ spl537_31 ),
inference(resolution,[],[f14950,f10640]) ).
fof(f14954,plain,
( $false
| ~ spl537_31 ),
inference(forward_subsumption_resolution,[],[f14952,f9053]) ).
fof(f14955,plain,
~ spl537_31,
inference(avatar_contradiction_clause,[],[f14954]) ).
cnf(s8,plain,
( ~ spl537_11
| ~ spl537_12
| spl537_13
| ~ spl537_14
| ~ spl537_15
| spl537_16 ),
inference(sat_conversion,[],[f14503]) ).
cnf(s11,plain,
( spl537_14
| ~ spl537_21 ),
inference(sat_conversion,[],[f14652]) ).
cnf(s14,plain,
( spl537_11
| ~ spl537_24 ),
inference(sat_conversion,[],[f14678]) ).
cnf(s19,plain,
( spl537_28
| spl537_29 ),
inference(sat_conversion,[],[f14735]) ).
cnf(s44,plain,
~ spl537_29,
inference(sat_conversion,[],[f14889]) ).
cnf(s45,plain,
( spl537_24
| spl537_31 ),
inference(sat_conversion,[],[f14905]) ).
cnf(s46,plain,
( spl537_21
| spl537_29 ),
inference(sat_conversion,[],[f14906]) ).
cnf(s49,plain,
( ~ spl537_21
| ~ spl537_28
| ~ spl537_57 ),
inference(sat_conversion,[],[f14932]) ).
cnf(s50,plain,
( spl537_15
| ~ spl537_21 ),
inference(sat_conversion,[],[f14933]) ).
cnf(s51,plain,
( ~ spl537_13
| ~ spl537_24 ),
inference(sat_conversion,[],[f14935]) ).
cnf(s54,plain,
( spl537_12
| ~ spl537_24 ),
inference(sat_conversion,[],[f14945]) ).
cnf(s55,plain,
( ~ spl537_16
| ~ spl537_28
| spl537_57 ),
inference(sat_conversion,[],[f14947]) ).
cnf(s57,plain,
~ spl537_31,
inference(sat_conversion,[],[f14955]) ).
cnf(s58,plain,
spl537_24,
inference(rat,[],[s45,s57]) ).
cnf(s59,plain,
spl537_12,
inference(rat,[],[s54,s58]) ).
cnf(s60,plain,
~ spl537_13,
inference(rat,[],[s51,s58]) ).
cnf(s61,plain,
spl537_21,
inference(rat,[],[s46,s44]) ).
cnf(s62,plain,
spl537_15,
inference(rat,[],[s50,s61]) ).
cnf(s67,plain,
spl537_28,
inference(rat,[],[s19,s44]) ).
cnf(s69,plain,
~ spl537_57,
inference(rat,[],[s49,s61,s67]) ).
cnf(s70,plain,
~ spl537_16,
inference(rat,[],[s55,s67,s69]) ).
cnf(s73,plain,
spl537_11,
inference(rat,[],[s14,s58]) ).
cnf(s77,plain,
spl537_14,
inference(rat,[],[s11,s61]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s8,s70,s62,s77,s60,s59,s73]) ).
fof(f14956,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT343+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 14:48:10 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.32/2.71 % (1513966)Detected formulas, will run a generic FOF schedule.
% 13.32/2.71 % (1513977)dis-21_1_sil=8000:lcm=predicate:random_seed=2233085131:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 13.32/2.71 % (1513976)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1074126875:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 13.32/2.71 % (1513977)Instruction limit reached!
% 13.32/2.71 % (1513977)------------------------------
% 13.32/2.71 % (1513977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.71 % (1513977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.71 % (1513977)CaDiCaL version: 2.1.3
% 13.32/2.71 % (1513977)Termination reason: Instruction limit
% 13.32/2.71 % (1513977)Termination phase: Preprocessing 3
% 13.32/2.71 % (1513977)Time elapsed: 0.062 s
% 13.32/2.71 % (1513977)Peak memory usage: 96 MB
% 13.32/2.71 % (1513977)Instructions burned: 131 (million)
% 13.32/2.71 % (1513972)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=1849226622:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 13.32/2.71 % (1513973)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=3192764028:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 13.32/2.71 % (1513971)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=3636513215:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 13.32/2.71 % (1513974)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2527426825:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 13.32/2.71 % (1513975)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3284221131:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 13.32/2.71 % (1513974)Refutation not found, incomplete strategy
% 13.32/2.71 % (1513974)------------------------------
% 13.32/2.71 % (1513974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.71 % (1513974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.71 % (1513974)CaDiCaL version: 2.1.3
% 13.32/2.71 % (1513974)Termination reason: Refutation not found, incomplete strategy
% 13.32/2.71 % (1513974)Time elapsed: 0.040 s
% 13.32/2.71 % (1513974)Peak memory usage: 95 MB
% 13.32/2.71 % (1513974)Instructions burned: 32 (million)
% 13.32/2.71 % (1513976)Instruction limit reached!
% 13.32/2.71 % (1513976)------------------------------
% 13.32/2.71 % (1513976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.71 % (1513976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.71 % (1513976)CaDiCaL version: 2.1.3
% 13.32/2.71 % (1513976)Termination reason: Instruction limit
% 13.32/2.71 % (1513976)Termination phase: Preprocessing 2
% 13.32/2.71 % (1513976)Time elapsed: 0.142 s
% 13.32/2.71 % (1513976)Peak memory usage: 92 MB
% 13.32/2.71 % (1513976)Instructions burned: 139 (million)
% 13.32/2.71 % (1513980)lrs+10_1_sil=8000:sp=occurrence:random_seed=2040305981:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.32/2.71 % (1513975)Instruction limit reached!
% 13.32/2.71 % (1513975)------------------------------
% 13.32/2.71 % (1513975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.71 % (1513975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.71 % (1513975)CaDiCaL version: 2.1.3
% 13.32/2.71 % (1513975)Termination reason: Instruction limit
% 13.32/2.71 % (1513975)Termination phase: Property scanning
% 13.32/2.71 % (1513975)Time elapsed: 0.096 s
% 13.32/2.71 % (1513975)Peak memory usage: 95 MB
% 13.32/2.71 % (1513975)Instructions burned: 120 (million)
% 13.32/2.71 % (1513980)Instruction limit reached!
% 13.32/2.71 % (1513980)------------------------------
% 13.32/2.71 % (1513980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.71 % (1513980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.71 % (1513980)CaDiCaL version: 2.1.3
% 13.32/2.71 % (1513980)Termination reason: Instruction limit
% 13.32/2.71 % (1513980)Termination phase: Saturation
% 13.32/2.71 % (1513980)Time elapsed: 0.127 s
% 13.32/2.71 % (1513980)Peak memory usage: 98 MB
% 13.32/2.71 % (1513980)Instructions burned: 288 (million)
% 16.10/3.09 % (1513986)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1524252947:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 16.10/3.09 % (1513986)Refutation not found, incomplete strategy
% 16.10/3.09 % (1513986)------------------------------
% 16.10/3.09 % (1513986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1513986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1513986)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1513986)Termination reason: Refutation not found, incomplete strategy
% 16.10/3.09 % (1513986)Time elapsed: 0.052 s
% 16.10/3.09 % (1513986)Peak memory usage: 95 MB
% 16.10/3.09 % (1513986)Instructions burned: 94 (million)
% 16.10/3.09 % (1513989)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=1147695291:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 16.10/3.09 % (1513988)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4182135870:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 16.10/3.09 % (1513974)------------------------------
% 16.10/3.09 % (1513974)------------------------------
% 16.10/3.09 % (1513989)Instruction limit reached!
% 16.10/3.09 % (1513989)------------------------------
% 16.10/3.09 % (1513989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1513989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1513989)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1513989)Termination reason: Instruction limit
% 16.10/3.09 % (1513989)Termination phase: Preprocessing 3
% 16.10/3.09 % (1513989)Time elapsed: 0.086 s
% 16.10/3.09 % (1513989)Peak memory usage: 100 MB
% 16.10/3.09 % (1513989)Instructions burned: 250 (million)
% 16.10/3.09 % (1513988)Instruction limit reached!
% 16.10/3.09 % (1513988)------------------------------
% 16.10/3.09 % (1513988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1513988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1513988)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1513988)Termination reason: Instruction limit
% 16.10/3.09 % (1513988)Termination phase: Saturation
% 16.10/3.09 % (1513988)Time elapsed: 0.170 s
% 16.10/3.09 % (1513988)Peak memory usage: 97 MB
% 16.10/3.09 % (1513988)Instructions burned: 326 (million)
% 16.10/3.09 % (1513986)------------------------------
% 16.10/3.09 % (1513986)------------------------------
% 16.10/3.09 % (1513993)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=84797245:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 16.10/3.09 % (1513994)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2761172103:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 16.10/3.09 % (1513995)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2603218742:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 16.10/3.09 % (1513997)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=849467819:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 16.10/3.09 % (1513993)Instruction limit reached!
% 16.10/3.09 % (1513993)------------------------------
% 16.10/3.09 % (1513993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1513993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1513993)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1513993)Termination reason: Instruction limit
% 16.10/3.09 % (1513993)Termination phase: Saturation
% 16.10/3.09 % (1513993)Time elapsed: 0.170 s
% 16.10/3.09 % (1513993)Peak memory usage: 97 MB
% 16.10/3.09 % (1513993)Instructions burned: 295 (million)
% 16.10/3.09 % (1513995)Instruction limit reached!
% 16.10/3.09 % (1513995)------------------------------
% 16.10/3.09 % (1513995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1513995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1513995)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1513995)Termination reason: Instruction limit
% 16.10/3.09 % (1513995)Termination phase: Property scanning
% 16.10/3.09 % (1513995)Time elapsed: 0.078 s
% 16.10/3.09 % (1513995)Peak memory usage: 95 MB
% 16.10/3.09 % (1513995)Instructions burned: 113 (million)
% 16.10/3.09 % (1513997)Instruction limit reached!
% 16.10/3.09 % (1513997)------------------------------
% 16.10/3.09 % (1513997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1513997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1513997)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1513997)Termination reason: Instruction limit
% 16.10/3.09 % (1513997)Termination phase: Preprocessing 3
% 16.10/3.09 % (1513997)Time elapsed: 0.088 s
% 16.10/3.09 % (1513997)Peak memory usage: 99 MB
% 16.10/3.09 % (1513997)Instructions burned: 127 (million)
% 16.10/3.09 % (1514001)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2137100903:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 16.10/3.09 % (1514002)lrs+10_1_sil=8000:sp=occurrence:random_seed=3073366013:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 16.10/3.09 % (1514001)Instruction limit reached!
% 16.10/3.09 % (1514001)------------------------------
% 16.10/3.09 % (1514001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1514001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1514001)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1514001)Termination reason: Instruction limit
% 16.10/3.09 % (1514001)Termination phase: Property scanning
% 16.10/3.09 % (1514001)Time elapsed: 0.050 s
% 16.10/3.09 % (1514001)Peak memory usage: 91 MB
% 16.10/3.09 % (1514001)Instructions burned: 116 (million)
% 16.10/3.09 % (1514003)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2171457363:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 16.10/3.09 % (1514003)Refutation not found, incomplete strategy
% 16.10/3.09 % (1514003)------------------------------
% 16.10/3.09 % (1514003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1514003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1514003)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1514003)Termination reason: Refutation not found, incomplete strategy
% 16.10/3.09 % (1514003)Time elapsed: 0.040 s
% 16.10/3.09 % (1514003)Peak memory usage: 95 MB
% 16.10/3.09 % (1514003)Instructions burned: 56 (million)
% 16.10/3.09 % (1514007)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1226700524:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 16.10/3.09 % (1514003)------------------------------
% 16.10/3.09 % (1514003)------------------------------
% 16.10/3.09 % (1514011)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1055283759:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 16.10/3.09 % (1514002)Instruction limit reached!
% 16.10/3.09 % (1514002)------------------------------
% 16.10/3.09 % (1514002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1514002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1514002)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1514002)Termination reason: Instruction limit
% 16.10/3.09 % (1514002)Termination phase: Saturation
% 16.10/3.09 % (1514002)Time elapsed: 0.562 s
% 16.10/3.09 % (1514002)Peak memory usage: 111 MB
% 16.10/3.09 % (1514002)Instructions burned: 908 (million)
% 16.10/3.09 % (1514011)Instruction limit reached!
% 16.10/3.09 % (1514011)------------------------------
% 16.10/3.09 % (1514011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1514011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1514011)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1514011)Termination reason: Instruction limit
% 16.10/3.09 % (1514011)Termination phase: Saturation
% 16.10/3.09 % (1514011)Time elapsed: 0.085 s
% 16.10/3.09 % (1514011)Peak memory usage: 97 MB
% 16.10/3.09 % (1514011)Instructions burned: 135 (million)
% 16.10/3.09 % (1513994)Instruction limit reached!
% 16.10/3.09 % (1513994)------------------------------
% 16.10/3.09 % (1513994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1513994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1513994)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1513994)Termination reason: Instruction limit
% 16.10/3.09 % (1513994)Termination phase: Saturation
% 16.10/3.09 % (1513994)Time elapsed: 0.967 s
% 16.10/3.09 % (1513994)Peak memory usage: 289 MB
% 16.10/3.09 % (1513994)Instructions burned: 2351 (million)
% 16.10/3.09 % (1514013)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1570342724:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 16.10/3.09 % (1514015)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=2419678061:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 16.10/3.09 % (1514014)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2751196159:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 16.10/3.09 % (1514015)Instruction limit reached!
% 16.10/3.09 % (1514015)------------------------------
% 16.10/3.09 % (1514015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1514015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1514015)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1514015)Termination reason: Instruction limit
% 16.10/3.09 % (1514015)Termination phase: Preprocessing 2
% 16.10/3.09 % (1514015)Time elapsed: 0.045 s
% 16.10/3.09 % (1514015)Peak memory usage: 92 MB
% 16.10/3.09 % (1514015)Instructions burned: 126 (million)
% 16.10/3.09 % (1513972)First to succeed.
% 16.10/3.09 % (1513972)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1513966"
% 16.10/3.09 % (1514019)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2253153055:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 16.10/3.09 % (1514019)Instruction limit reached!
% 16.10/3.09 % (1514019)------------------------------
% 16.10/3.09 % (1514019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1514019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1514019)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1514019)Termination reason: Instruction limit
% 16.10/3.09 % (1514019)Termination phase: SInE selection
% 16.10/3.09 % (1514019)Time elapsed: 0.032 s
% 16.10/3.09 % (1514019)Peak memory usage: 91 MB
% 16.10/3.09 % (1514019)Instructions burned: 135 (million)
% 16.10/3.09 % (1514013)Instruction limit reached!
% 16.10/3.09 % (1514013)------------------------------
% 16.10/3.09 % (1514013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.10/3.09 % (1514013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/3.09 % (1514013)CaDiCaL version: 2.1.3
% 16.10/3.09 % (1514013)Termination reason: Instruction limit
% 16.10/3.09 % (1514013)Termination phase: Saturation
% 16.10/3.09 % (1514013)Time elapsed: 0.303 s
% 16.10/3.09 % (1514013)Peak memory usage: 104 MB
% 16.10/3.09 % (1514013)Instructions burned: 593 (million)
% 16.10/3.09 % (1514021)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3527393483:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 16.10/3.09 % (1513972)Refutation found. Thanks to Tanya!
% 16.10/3.09 % SZS status Theorem for theBenchmark
% 16.10/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 16.55/3.28 % (1513972)------------------------------
% 16.55/3.28 % (1513972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.55/3.28 % (1513972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/3.28 % (1513972)CaDiCaL version: 2.1.3
% 16.55/3.28 % (1513972)Termination reason: Refutation
% 16.55/3.28 % (1513972)Time elapsed: 1.766 s
% 16.55/3.28 % (1513972)Peak memory usage: 192 MB
% 16.55/3.28 % (1513972)Instructions burned: 2758 (million)
% 16.55/3.28 % (1513972)------------------------------
% 16.55/3.28 % (1513972)------------------------------
% 16.55/3.28 % (1513966)Success in time 2.422 s
% 16.55/3.28 % Vampire exiting
%------------------------------------------------------------------------------