%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP652+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 10:15:20 AM UTC 2026
% Result : Theorem 24.53s 9.55s
% Output : Refutation 50.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 72
% Syntax : Number of formulae : 770 ( 104 unt; 33 def)
% Number of atoms : 3409 ( 345 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 4696 (2057 ~;2281 |; 240 &)
% ( 54 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 56 ( 54 usr; 34 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 3 con; 0-4 aty)
% Number of variables : 715 ( 0 sgn 700 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f1055,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( r2_hidden(X0,k1_relat_1(X1))
=> k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f1422,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1481,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1483,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f2094,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f2106,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/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f2301,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f17596,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f17609,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f18256,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f18585,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_2) ).
fof(f18989,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f18993,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f21862,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_group_2) ).
fof(f21874,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_group_2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_group_2) ).
fof(f21884,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ( X1 = k5_group_2(X0)
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_group_2) ).
fof(f21889,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k5_group_2(X1) = k5_group_2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t75_group_2) ).
fof(f21891,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> m1_group_2(k5_group_2(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_group_2) ).
fof(f21900,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k7_group_2(X0,X1) = u1_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_group_2) ).
fof(f22007,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f22011,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X1)
& m1_group_2(X1,X0)
& v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f22016,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_group_2(X0))
& m1_group_2(k5_group_2(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_2) ).
fof(f22018,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0) )
=> m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_group_2) ).
fof(f22987,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> u1_struct_0(k11_group_4(X0)) = k1_group_3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_group_4) ).
fof(f23001,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f25585,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( r1_rlvect_1(k5_group_2(X1),X0)
<=> X0 = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_group_5) ).
fof(f26889,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v2_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& v4_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_6) ).
fof(f26942,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_group_6) ).
fof(f36489,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_latsubgr) ).
fof(f36492,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( X1 = u1_struct_0(X2)
=> r1_group_2(X0,k5_group_4(X0,X1),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_latsubgr) ).
fof(f36495,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( m1_group_2(X3,X0)
=> ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X1)
& u1_struct_0(X4) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_latsubgr) ).
fof(f36524,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
=> ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X0) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X5 = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
=> k1_funct_1(X3,X4) = k5_group_4(X1,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_latsubgr) ).
fof(f36527,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0)) = k5_group_2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_latsubgr) ).
fof(f36528,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0)) = k5_group_2(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f36527]) ).
fof(f36616,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f36489]) ).
fof(f36617,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f36616]) ).
fof(f36622,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_group_2(X0,k5_group_4(X0,X1),X2)
| u1_struct_0(X2) != X1
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36492]) ).
fof(f36623,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_group_2(X0,k5_group_4(X0,X1),X2)
| u1_struct_0(X2) != X1
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36622]) ).
fof(f36628,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X1)
& u1_struct_0(X4) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
| ~ m1_group_2(X3,X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36495]) ).
fof(f36629,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X1)
& u1_struct_0(X4) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
| ~ m1_group_2(X3,X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36628]) ).
fof(f36676,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36524]) ).
fof(f36677,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36676]) ).
fof(f36682,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k5_group_2(X1) != k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f36528]) ).
fof(f36683,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k5_group_2(X1) != k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f36682]) ).
fof(f36710,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22007]) ).
fof(f36711,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36710]) ).
fof(f36716,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21874]) ).
fof(f36717,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36716]) ).
fof(f36720,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21862]) ).
fof(f36721,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36720]) ).
fof(f36728,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,[],[f2106]) ).
fof(f36729,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,[],[f36728]) ).
fof(f36738,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22987]) ).
fof(f36739,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36738]) ).
fof(f36826,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f36827,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f36831,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(ennf_transformation,[],[f22011]) ).
fof(f36832,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f36831]) ).
fof(f36853,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f23001]) ).
fof(f36854,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f36853]) ).
fof(f36987,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f2094]) ).
fof(f36988,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f36987]) ).
fof(f37011,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f26942]) ).
fof(f37012,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37011]) ).
fof(f37104,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f37123,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18993]) ).
fof(f37124,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37123]) ).
fof(f37133,plain,
! [X0] :
( ( ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v2_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& v4_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f26889]) ).
fof(f37134,plain,
! [X0] :
( ( ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v2_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& v4_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37133]) ).
fof(f37135,plain,
! [X0,X1] :
( ( r1_rlvect_1(k5_group_2(X1),X0)
<=> X0 = k2_group_1(X1) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(ennf_transformation,[],[f25585]) ).
fof(f37136,plain,
! [X0,X1] :
( ( r1_rlvect_1(k5_group_2(X1),X0)
<=> X0 = k2_group_1(X1) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(flattening,[],[f37135]) ).
fof(f37139,plain,
! [X0] :
( ( v1_group_1(k5_group_2(X0))
& m1_group_2(k5_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22016]) ).
fof(f37140,plain,
! [X0] :
( ( v1_group_1(k5_group_2(X0))
& m1_group_2(k5_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37139]) ).
fof(f37143,plain,
! [X0] :
( ! [X1] :
( m1_group_2(k5_group_2(X0),X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21891]) ).
fof(f37144,plain,
! [X0] :
( ! [X1] :
( m1_group_2(k5_group_2(X0),X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37143]) ).
fof(f37147,plain,
! [X0] :
( ! [X1] :
( k5_group_2(X1) = k5_group_2(X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21889]) ).
fof(f37148,plain,
! [X0] :
( ! [X1] :
( k5_group_2(X1) = k5_group_2(X0)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37147]) ).
fof(f37149,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_group_2(X0)
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21884]) ).
fof(f37150,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_group_2(X0)
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37149]) ).
fof(f37396,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1481]) ).
fof(f37397,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1422]) ).
fof(f37752,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f17609]) ).
fof(f37753,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f37752]) ).
fof(f37879,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f2301]) ).
fof(f37880,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f37879]) ).
fof(f37887,plain,
! [X0,X1] :
( m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f22018]) ).
fof(f37888,plain,
! [X0,X1] :
( m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f37887]) ).
fof(f37903,plain,
! [X0] :
( ! [X1] :
( k7_group_2(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21900]) ).
fof(f37904,plain,
! [X0] :
( ! [X1] :
( k7_group_2(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37903]) ).
fof(f38177,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f1055]) ).
fof(f38178,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f38177]) ).
fof(f39321,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18989]) ).
fof(f39330,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f17596]) ).
fof(f39331,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f39330]) ).
fof(f40033,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18585]) ).
fof(f40034,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k1_relat_1(X2) = k2_pre_topc(X0)
& r1_tarski(k2_relat_1(X2),k2_pre_topc(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f40033]) ).
fof(f40059,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18256]) ).
fof(f42302,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v1_group_1(sK32(X0,X1,X2,X3))
& m1_group_2(sK32(X0,X1,X2,X3),X1)
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) = u1_struct_0(sK32(X0,X1,X2,X3)) )
| ~ m1_group_2(X3,X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X4,sK32(X0,X1,X2,X3))],[f36629]) ).
fof(f42311,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ? [X4] :
( ? [X5] :
( k1_funct_1(X3,X4) != k5_group_4(X1,X5)
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
& v1_group_1(X4)
& m1_group_2(X4,X0) ) )
& ( ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f36677]) ).
fof(f42312,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ? [X4] :
( ? [X5] :
( k1_funct_1(X3,X4) != k5_group_4(X1,X5)
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
& v1_group_1(X4)
& m1_group_2(X4,X0) ) )
& ( ! [X6] :
( ! [X7] :
( k1_funct_1(X3,X6) = k5_group_4(X1,X7)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)) != X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f42311]) ).
fof(f42313,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ( k1_funct_1(X3,sK35(X0,X1,X2,X3)) != k5_group_4(X1,sK36(X0,X1,X2,X3))
& sK36(X0,X1,X2,X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(sK35(X0,X1,X2,X3)))
& m1_subset_1(sK36(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
& v1_group_1(sK35(X0,X1,X2,X3))
& m1_group_2(sK35(X0,X1,X2,X3),X0) ) )
& ( ! [X6] :
( ! [X7] :
( k1_funct_1(X3,X6) = k5_group_4(X1,X7)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)) != X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36]),skolemize(X4,sK35(X0,X1,X2,X3)),skolemize(X5,sK36(X0,X1,X2,X3))],[f42312]) ).
fof(f42314,plain,
( k5_group_2(sK38) != k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37))
& v1_funct_1(sK39)
& v1_funct_2(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
& v1_group_6(sK39,sK37,sK38)
& m2_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
& ~ v3_struct_0(sK38)
& v3_group_1(sK38)
& v4_group_1(sK38)
& l1_group_1(sK38)
& ~ v3_struct_0(sK37)
& v3_group_1(sK37)
& v4_group_1(sK37)
& l1_group_1(sK37) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38,sK39]),skolemize(X0,sK37),skolemize(X1,sK38),skolemize(X2,sK39)],[f36683]) ).
fof(f42345,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,[],[f1483]) ).
fof(f42357,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f36826]) ).
fof(f42361,plain,
! [X0,X1,X2] :
( ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(nnf_transformation,[],[f36832]) ).
fof(f42426,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f42432,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f42433,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f42432]) ).
fof(f42434,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f37104]) ).
fof(f42435,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f42434]) ).
fof(f42436,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK103(X0,X1),X1)
& r2_hidden(sK103(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(X2,sK103(X0,X1))],[f42435]) ).
fof(f42442,plain,
! [X0,X1] :
( ( ( r1_rlvect_1(k5_group_2(X1),X0)
| k2_group_1(X1) != X0 )
& ( X0 = k2_group_1(X1)
| ~ r1_rlvect_1(k5_group_2(X1),X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(nnf_transformation,[],[f37136]) ).
fof(f42443,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_group_2(X0)
| u1_struct_0(X1) != k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
& ( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| k5_group_2(X0) != X1 ) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f37150]) ).
fof(f43970,plain,
! [X2,X0,X1] :
( m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f36617]) ).
fof(f43971,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f36617]) ).
fof(f43972,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v1_funct_1(k3_latsubgr(X0,X1,X2))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f36617]) ).
fof(f43978,plain,
! [X2,X0,X1] :
( r1_group_2(X0,k5_group_4(X0,X1),X2)
| u1_struct_0(X2) != X1
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36623]) ).
fof(f43982,plain,
! [X2,X3,X0,X1] :
( ~ l1_group_1(X0)
| ~ m1_group_2(X3,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) = u1_struct_0(sK32(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f42302]) ).
fof(f43983,plain,
! [X2,X3,X0,X1] :
( ~ l1_group_1(X0)
| ~ m1_group_2(X3,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| m1_group_2(sK32(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f42302]) ).
fof(f44018,plain,
! [X2,X3,X0,X1,X6,X7] :
( k1_funct_1(X3,X6) = k5_group_4(X1,X7)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)) != X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0)
| k3_latsubgr(X0,X1,X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f42313]) ).
fof(f44026,plain,
l1_group_1(sK37),
inference(cnf_transformation,[],[f42314]) ).
fof(f44027,plain,
v4_group_1(sK37),
inference(cnf_transformation,[],[f42314]) ).
fof(f44028,plain,
v3_group_1(sK37),
inference(cnf_transformation,[],[f42314]) ).
fof(f44029,plain,
~ v3_struct_0(sK37),
inference(cnf_transformation,[],[f42314]) ).
fof(f44030,plain,
l1_group_1(sK38),
inference(cnf_transformation,[],[f42314]) ).
fof(f44031,plain,
v4_group_1(sK38),
inference(cnf_transformation,[],[f42314]) ).
fof(f44032,plain,
v3_group_1(sK38),
inference(cnf_transformation,[],[f42314]) ).
fof(f44033,plain,
~ v3_struct_0(sK38),
inference(cnf_transformation,[],[f42314]) ).
fof(f44034,plain,
m2_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)),
inference(cnf_transformation,[],[f42314]) ).
fof(f44035,plain,
v1_group_6(sK39,sK37,sK38),
inference(cnf_transformation,[],[f42314]) ).
fof(f44036,plain,
v1_funct_2(sK39,u1_struct_0(sK37),u1_struct_0(sK38)),
inference(cnf_transformation,[],[f42314]) ).
fof(f44037,plain,
v1_funct_1(sK39),
inference(cnf_transformation,[],[f42314]) ).
fof(f44038,plain,
k5_group_2(sK38) != k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)),
inference(cnf_transformation,[],[f42314]) ).
fof(f44084,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| l1_group_1(X1) ),
inference(cnf_transformation,[],[f36711]) ).
fof(f44089,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| m1_group_2(X0,X0) ),
inference(cnf_transformation,[],[f36717]) ).
fof(f44091,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f36721]) ).
fof(f44102,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,[],[f36729]) ).
fof(f44111,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f42345]) ).
fof(f44122,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| k1_group_3(X0) = u1_struct_0(k11_group_4(X0)) ),
inference(cnf_transformation,[],[f36739]) ).
fof(f44231,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f42357]) ).
fof(f44233,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f36827]) ).
fof(f44239,plain,
! [X2,X0,X1] :
( ~ r1_group_2(X0,X1,X2)
| X1 = X2
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f42361]) ).
fof(f44264,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(k5_group_4(X0,X1),X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f36854]) ).
fof(f44265,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v1_group_1(k5_group_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f36854]) ).
fof(f44416,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k9_relat_1(X2,X3) = k2_funct_2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f36988]) ).
fof(f44439,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) ),
inference(cnf_transformation,[],[f37012]) ).
fof(f44527,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f42426]) ).
fof(f44542,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f42433]) ).
fof(f44545,plain,
! [X0,X1] :
( r2_hidden(sK103(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f42436]) ).
fof(f44573,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37124]) ).
fof(f44581,plain,
! [X0] :
( v4_group_1(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37134]) ).
fof(f44582,plain,
! [X0] :
( v3_group_1(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37134]) ).
fof(f44585,plain,
! [X0] :
( ~ v3_struct_0(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37134]) ).
fof(f44586,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| ~ r1_rlvect_1(k5_group_2(X1),X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| k2_group_1(X1) = X0
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f42442]) ).
fof(f44587,plain,
! [X0,X1] :
( r1_rlvect_1(k5_group_2(X1),X0)
| k2_group_1(X1) != X0
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(cnf_transformation,[],[f42442]) ).
fof(f44589,plain,
! [X0] :
( m1_group_2(k5_group_2(X0),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37140]) ).
fof(f44590,plain,
! [X0] :
( v1_group_1(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37140]) ).
fof(f44592,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| m1_group_2(k5_group_2(X0),X1) ),
inference(cnf_transformation,[],[f37144]) ).
fof(f44594,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| k5_group_2(X0) = k5_group_2(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37148]) ).
fof(f44595,plain,
! [X0,X1] :
( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| k5_group_2(X0) != X1
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f42443]) ).
fof(f45062,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f37396]) ).
fof(f45063,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f37397]) ).
fof(f45664,plain,
! [X0,X1] :
( k1_tarski(X1) = k1_struct_0(X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f37753]) ).
fof(f45766,plain,
! [X0,X1] :
( k1_tarski(X1) = k6_domain_1(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f37880]) ).
fof(f45773,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f37888]) ).
fof(f45787,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| u1_struct_0(X1) = k7_group_2(X0,X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37904]) ).
fof(f46115,plain,
! [X0,X1] :
( k1_tarski(k1_funct_1(X1,X0)) = k9_relat_1(X1,k1_tarski(X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f38178]) ).
fof(f47583,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f39321]) ).
fof(f47594,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f39331]) ).
fof(f48361,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| k1_relat_1(X2) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f40034]) ).
fof(f48396,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f40059]) ).
fof(f48620,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f52070,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k2_tarski(X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(definition_unfolding,[],[f45664,f48620]) ).
fof(f52074,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f45766,f48620]) ).
fof(f52188,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k9_relat_1(X1,k2_tarski(X0,X0))
| ~ v1_funct_1(X1) ),
inference(definition_unfolding,[],[f46115,f48620,f48620]) ).
fof(f53061,plain,
! [X2,X0] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| r1_group_2(X0,k5_group_4(X0,u1_struct_0(X2)),X2)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f43978]) ).
fof(f53082,plain,
! [X2,X3,X0,X1,X6] :
( k1_funct_1(X3,X6) = k5_group_4(X1,k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0)
| k3_latsubgr(X0,X1,X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f44018]) ).
fof(f53083,plain,
! [X2,X0,X1,X6] :
( ~ v1_funct_1(k3_latsubgr(X0,X1,X2))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0)
| k5_group_4(X1,k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6))) = k1_funct_1(k3_latsubgr(X0,X1,X2),X6)
| ~ v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f53082]) ).
fof(f53134,plain,
! [X1] :
( r1_rlvect_1(k5_group_2(X1),k2_group_1(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(equality_resolution,[],[f44587]) ).
fof(f53135,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(k5_group_2(X0))
| ~ m1_group_2(k5_group_2(X0),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0)) ),
inference(equality_resolution,[],[f44595]) ).
fof(f54349,plain,
! [X0,X1] :
( ~ v1_funct_2(sK39,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v1_funct_1(k3_latsubgr(X0,X1,sK39))
| v3_struct_0(X0)
| ~ m1_relset_1(sK39,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution,[],[f43972,f44037]) ).
fof(f54350,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| v3_struct_0(sK37)
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(resolution,[],[f54349,f44036]) ).
fof(f54351,plain,
( ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| v3_struct_0(sK37)
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54350,f44028]) ).
fof(f54352,plain,
( ~ l1_group_1(sK37)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| v3_struct_0(sK37)
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54351,f44027]) ).
fof(f54353,plain,
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| v3_struct_0(sK37)
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54352,f44026]) ).
fof(f54354,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| v3_struct_0(sK37)
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54353,f44033]) ).
fof(f54355,plain,
( ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| v3_struct_0(sK37)
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54354,f44032]) ).
fof(f54356,plain,
( ~ l1_group_1(sK38)
| v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| v3_struct_0(sK37)
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54355,f44031]) ).
fof(f54357,plain,
( v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| v3_struct_0(sK37)
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54356,f44030]) ).
fof(f54358,plain,
( v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54357,f44029]) ).
fof(f54360,definition,
( spl1150_44
<=> m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_44])],[avatar_definition]) ).
fof(f54361,plain,
( ~ m1_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
| spl1150_44 ),
inference(avatar_component_clause,[],[f54360]) ).
fof(f54363,definition,
( spl1150_45
<=> v1_funct_1(k3_latsubgr(sK37,sK38,sK39)) ),
introduced(definition,[new_symbols(definition,[spl1150_45])],[avatar_definition]) ).
fof(f54364,plain,
( v1_funct_1(k3_latsubgr(sK37,sK38,sK39))
| ~ spl1150_45 ),
inference(avatar_component_clause,[],[f54363]) ).
fof(f54365,plain,
( ~ spl1150_44
| spl1150_45 ),
inference(avatar_split_clause,[],[f54358,f54363,f54360]) ).
fof(f54367,plain,
( ~ m2_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
| spl1150_44 ),
inference(resolution,[],[f54361,f44111]) ).
fof(f54369,plain,
( $false
| spl1150_44 ),
inference(forward_subsumption_resolution,[],[f54367,f44034]) ).
fof(f54370,plain,
spl1150_44,
inference(avatar_contradiction_clause,[],[f54369]) ).
fof(f54372,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f48396,f47583]) ).
fof(f54373,plain,
u1_struct_0(sK38) = k2_pre_topc(sK38),
inference(resolution,[],[f54372,f44030]) ).
fof(f54374,plain,
u1_struct_0(sK37) = k2_pre_topc(sK37),
inference(resolution,[],[f54372,f44026]) ).
fof(f54375,plain,
m2_relset_1(sK39,u1_struct_0(sK37),k2_pre_topc(sK38)),
inference(superposition,[],[f44034,f54373]) ).
fof(f54376,plain,
v1_funct_2(sK39,u1_struct_0(sK37),k2_pre_topc(sK38)),
inference(superposition,[],[f44036,f54373]) ).
fof(f54382,plain,
v1_funct_2(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38)),
inference(forward_demodulation,[],[f54376,f54374]) ).
fof(f54383,plain,
m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38)),
inference(forward_demodulation,[],[f54375,f54374]) ).
fof(f54405,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| k5_group_2(X0) = k5_group_2(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f44589,f44594]) ).
fof(f54406,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| k5_group_2(X0) = k5_group_2(k5_group_2(X0)) ),
inference(duplicate_literal_removal,[],[f54405]) ).
fof(f54407,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| v3_struct_0(sK38)
| k5_group_2(sK38) = k5_group_2(k5_group_2(sK38)) ),
inference(resolution,[],[f54406,f44030]) ).
fof(f54408,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| v3_struct_0(sK37)
| k5_group_2(sK37) = k5_group_2(k5_group_2(sK37)) ),
inference(resolution,[],[f54406,f44026]) ).
fof(f54409,plain,
( ~ v4_group_1(sK37)
| v3_struct_0(sK37)
| k5_group_2(sK37) = k5_group_2(k5_group_2(sK37)) ),
inference(forward_subsumption_resolution,[],[f54408,f44028]) ).
fof(f54410,plain,
( ~ v4_group_1(sK38)
| v3_struct_0(sK38)
| k5_group_2(sK38) = k5_group_2(k5_group_2(sK38)) ),
inference(forward_subsumption_resolution,[],[f54407,f44032]) ).
fof(f54411,plain,
( v3_struct_0(sK37)
| k5_group_2(sK37) = k5_group_2(k5_group_2(sK37)) ),
inference(forward_subsumption_resolution,[],[f54409,f44027]) ).
fof(f54412,plain,
( v3_struct_0(sK38)
| k5_group_2(sK38) = k5_group_2(k5_group_2(sK38)) ),
inference(forward_subsumption_resolution,[],[f54410,f44031]) ).
fof(f54413,plain,
k5_group_2(sK37) = k5_group_2(k5_group_2(sK37)),
inference(forward_subsumption_resolution,[],[f54411,f44029]) ).
fof(f54414,plain,
k5_group_2(sK38) = k5_group_2(k5_group_2(sK38)),
inference(forward_subsumption_resolution,[],[f54412,f44033]) ).
fof(f54422,definition,
( spl1150_46
<=> l1_group_1(k5_group_2(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_46])],[avatar_definition]) ).
fof(f54423,plain,
( ~ l1_group_1(k5_group_2(sK38))
| spl1150_46 ),
inference(avatar_component_clause,[],[f54422]) ).
fof(f54425,definition,
( spl1150_47
<=> v4_group_1(k5_group_2(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_47])],[avatar_definition]) ).
fof(f54426,plain,
( ~ v4_group_1(k5_group_2(sK38))
| spl1150_47 ),
inference(avatar_component_clause,[],[f54425]) ).
fof(f54428,definition,
( spl1150_48
<=> v3_group_1(k5_group_2(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_48])],[avatar_definition]) ).
fof(f54429,plain,
( ~ v3_group_1(k5_group_2(sK38))
| spl1150_48 ),
inference(avatar_component_clause,[],[f54428]) ).
fof(f54431,definition,
( spl1150_49
<=> v3_struct_0(k5_group_2(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_49])],[avatar_definition]) ).
fof(f54432,plain,
( v3_struct_0(k5_group_2(sK38))
| ~ spl1150_49 ),
inference(avatar_component_clause,[],[f54431]) ).
fof(f54438,definition,
( spl1150_51
<=> v1_group_1(k5_group_2(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_51])],[avatar_definition]) ).
fof(f54439,plain,
( v1_group_1(k5_group_2(sK38))
| ~ spl1150_51 ),
inference(avatar_component_clause,[],[f54438]) ).
fof(f54448,definition,
( spl1150_52
<=> l1_group_1(k5_group_2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_52])],[avatar_definition]) ).
fof(f54449,plain,
( ~ l1_group_1(k5_group_2(sK37))
| spl1150_52 ),
inference(avatar_component_clause,[],[f54448]) ).
fof(f54451,definition,
( spl1150_53
<=> v4_group_1(k5_group_2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_53])],[avatar_definition]) ).
fof(f54452,plain,
( ~ v4_group_1(k5_group_2(sK37))
| spl1150_53 ),
inference(avatar_component_clause,[],[f54451]) ).
fof(f54454,definition,
( spl1150_54
<=> v3_group_1(k5_group_2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_54])],[avatar_definition]) ).
fof(f54455,plain,
( ~ v3_group_1(k5_group_2(sK37))
| spl1150_54 ),
inference(avatar_component_clause,[],[f54454]) ).
fof(f54457,definition,
( spl1150_55
<=> v3_struct_0(k5_group_2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_55])],[avatar_definition]) ).
fof(f54458,plain,
( v3_struct_0(k5_group_2(sK37))
| ~ spl1150_55 ),
inference(avatar_component_clause,[],[f54457]) ).
fof(f54464,definition,
( spl1150_57
<=> v1_group_1(k5_group_2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_57])],[avatar_definition]) ).
fof(f54467,plain,
! [X0] :
( u1_struct_0(k5_group_2(X0)) = k7_group_2(X0,k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f45787,f44589]) ).
fof(f54468,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| u1_struct_0(k5_group_2(X0)) = k7_group_2(X0,k5_group_2(X0)) ),
inference(duplicate_literal_removal,[],[f54467]) ).
fof(f54469,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f45063,f45062]) ).
fof(f54471,plain,
v1_relat_1(sK39),
inference(resolution,[],[f54469,f54383]) ).
fof(f54478,plain,
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| m1_group_2(sK38,sK38) ),
inference(resolution,[],[f44089,f44030]) ).
fof(f54479,plain,
( v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| m1_group_2(sK37,sK37) ),
inference(resolution,[],[f44089,f44026]) ).
fof(f54480,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| m1_group_2(sK37,sK37) ),
inference(forward_subsumption_resolution,[],[f54479,f44029]) ).
fof(f54481,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| m1_group_2(sK38,sK38) ),
inference(forward_subsumption_resolution,[],[f54478,f44033]) ).
fof(f54482,plain,
( ~ v4_group_1(sK37)
| m1_group_2(sK37,sK37) ),
inference(forward_subsumption_resolution,[],[f54480,f44028]) ).
fof(f54483,plain,
( ~ v4_group_1(sK38)
| m1_group_2(sK38,sK38) ),
inference(forward_subsumption_resolution,[],[f54481,f44032]) ).
fof(f54484,plain,
m1_group_2(sK37,sK37),
inference(forward_subsumption_resolution,[],[f54482,f44027]) ).
fof(f54485,plain,
m1_group_2(sK38,sK38),
inference(forward_subsumption_resolution,[],[f54483,f44031]) ).
fof(f54504,plain,
! [X0] :
( ~ m1_group_2(X0,sK38)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| m1_group_2(k5_group_2(sK38),X0) ),
inference(resolution,[],[f44592,f44030]) ).
fof(f54505,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| m1_group_2(k5_group_2(sK37),X0) ),
inference(resolution,[],[f44592,f44026]) ).
fof(f54506,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| m1_group_2(k5_group_2(sK37),X0) ),
inference(forward_subsumption_resolution,[],[f54505,f44029]) ).
fof(f54507,plain,
! [X0] :
( ~ m1_group_2(X0,sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| m1_group_2(k5_group_2(sK38),X0) ),
inference(forward_subsumption_resolution,[],[f54504,f44033]) ).
fof(f54508,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| ~ v4_group_1(sK37)
| m1_group_2(k5_group_2(sK37),X0) ),
inference(forward_subsumption_resolution,[],[f54506,f44028]) ).
fof(f54509,plain,
! [X0] :
( ~ m1_group_2(X0,sK38)
| ~ v4_group_1(sK38)
| m1_group_2(k5_group_2(sK38),X0) ),
inference(forward_subsumption_resolution,[],[f54507,f44032]) ).
fof(f54510,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| m1_group_2(k5_group_2(sK37),X0) ),
inference(forward_subsumption_resolution,[],[f54508,f44027]) ).
fof(f54511,plain,
! [X0] :
( ~ m1_group_2(X0,sK38)
| m1_group_2(k5_group_2(sK38),X0) ),
inference(forward_subsumption_resolution,[],[f54509,f44031]) ).
fof(f54513,plain,
m1_group_2(k5_group_2(sK38),sK38),
inference(resolution,[],[f54511,f54485]) ).
fof(f54528,plain,
m1_group_2(k5_group_2(sK37),sK37),
inference(resolution,[],[f54510,f54484]) ).
fof(f54543,plain,
( m1_subset_1(k2_group_1(sK38),k2_pre_topc(sK38))
| v3_struct_0(sK38)
| ~ l1_group_1(sK38) ),
inference(superposition,[],[f44573,f54373]) ).
fof(f54544,plain,
( m1_subset_1(k2_group_1(sK37),k2_pre_topc(sK37))
| v3_struct_0(sK37)
| ~ l1_group_1(sK37) ),
inference(superposition,[],[f44573,f54374]) ).
fof(f54545,plain,
( m1_subset_1(k2_group_1(sK37),k2_pre_topc(sK37))
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f54544,f44029]) ).
fof(f54546,plain,
( m1_subset_1(k2_group_1(sK38),k2_pre_topc(sK38))
| ~ l1_group_1(sK38) ),
inference(forward_subsumption_resolution,[],[f54543,f44033]) ).
fof(f54547,plain,
m1_subset_1(k2_group_1(sK37),k2_pre_topc(sK37)),
inference(forward_subsumption_resolution,[],[f54545,f44026]) ).
fof(f54548,plain,
m1_subset_1(k2_group_1(sK38),k2_pre_topc(sK38)),
inference(forward_subsumption_resolution,[],[f54546,f44030]) ).
fof(f54549,plain,
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(k5_group_2(sK38)) = k7_group_2(sK38,k5_group_2(sK38)) ),
inference(resolution,[],[f54468,f44030]) ).
fof(f54550,plain,
( v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| u1_struct_0(k5_group_2(sK37)) = k7_group_2(sK37,k5_group_2(sK37)) ),
inference(resolution,[],[f54468,f44026]) ).
fof(f54551,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| u1_struct_0(k5_group_2(sK37)) = k7_group_2(sK37,k5_group_2(sK37)) ),
inference(forward_subsumption_resolution,[],[f54550,f44029]) ).
fof(f54552,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(k5_group_2(sK38)) = k7_group_2(sK38,k5_group_2(sK38)) ),
inference(forward_subsumption_resolution,[],[f54549,f44033]) ).
fof(f54553,plain,
( ~ v4_group_1(sK37)
| u1_struct_0(k5_group_2(sK37)) = k7_group_2(sK37,k5_group_2(sK37)) ),
inference(forward_subsumption_resolution,[],[f54551,f44028]) ).
fof(f54554,plain,
( ~ v4_group_1(sK38)
| u1_struct_0(k5_group_2(sK38)) = k7_group_2(sK38,k5_group_2(sK38)) ),
inference(forward_subsumption_resolution,[],[f54552,f44032]) ).
fof(f54555,plain,
u1_struct_0(k5_group_2(sK37)) = k7_group_2(sK37,k5_group_2(sK37)),
inference(forward_subsumption_resolution,[],[f54553,f44027]) ).
fof(f54556,plain,
u1_struct_0(k5_group_2(sK38)) = k7_group_2(sK38,k5_group_2(sK38)),
inference(forward_subsumption_resolution,[],[f54554,f44031]) ).
fof(f54557,plain,
( r1_rlvect_1(k5_group_2(sK38),k2_group_1(k5_group_2(sK38)))
| v3_struct_0(k5_group_2(sK38))
| ~ v3_group_1(k5_group_2(sK38))
| ~ v4_group_1(k5_group_2(sK38))
| ~ l1_group_1(k5_group_2(sK38)) ),
inference(superposition,[],[f53134,f54414]) ).
fof(f54558,plain,
( r1_rlvect_1(k5_group_2(sK37),k2_group_1(k5_group_2(sK37)))
| v3_struct_0(k5_group_2(sK37))
| ~ v3_group_1(k5_group_2(sK37))
| ~ v4_group_1(k5_group_2(sK37))
| ~ l1_group_1(k5_group_2(sK37)) ),
inference(superposition,[],[f53134,f54413]) ).
fof(f54635,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ~ v1_funct_2(X1,X0,X2)
| k1_funct_1(X1,X3) = k8_funct_2(X0,X2,X1,X3)
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X1,X0,X2) ),
inference(resolution,[],[f44102,f44111]) ).
fof(f54638,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK38)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| m1_subset_1(X0,u1_struct_0(sK38)) ),
inference(resolution,[],[f44091,f44030]) ).
fof(f54639,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK37)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(resolution,[],[f44091,f44026]) ).
fof(f54640,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK37)
| ~ v3_group_1(sK37)
| m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(forward_subsumption_resolution,[],[f54639,f44029]) ).
fof(f54641,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK38)
| ~ v3_group_1(sK38)
| m1_subset_1(X0,u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54638,f44033]) ).
fof(f54642,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK37)
| m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(forward_subsumption_resolution,[],[f54640,f44028]) ).
fof(f54643,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK38)
| m1_subset_1(X0,u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54641,f44032]) ).
fof(f54644,plain,
! [X0,X1] :
( ~ m1_group_2(X1,sK37)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| m1_subset_1(X0,k2_pre_topc(sK37)) ),
inference(forward_demodulation,[],[f54642,f54374]) ).
fof(f54645,plain,
! [X0,X1] :
( ~ m1_group_2(X1,sK38)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| m1_subset_1(X0,k2_pre_topc(sK38)) ),
inference(forward_demodulation,[],[f54643,f54373]) ).
fof(f54646,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_group_2(sK37)))
| m1_subset_1(X0,k2_pre_topc(sK37)) ),
inference(resolution,[],[f54644,f54528]) ).
fof(f54651,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k5_group_2(sK38)))
| m1_subset_1(X0,k2_pre_topc(sK38)) ),
inference(resolution,[],[f54645,f54513]) ).
fof(f54656,plain,
( m1_subset_1(k2_group_1(k5_group_2(sK37)),k2_pre_topc(sK37))
| v3_struct_0(k5_group_2(sK37))
| ~ l1_group_1(k5_group_2(sK37)) ),
inference(resolution,[],[f54646,f44573]) ).
fof(f54657,plain,
( m1_subset_1(k2_group_1(k5_group_2(sK38)),k2_pre_topc(sK38))
| v3_struct_0(k5_group_2(sK38))
| ~ l1_group_1(k5_group_2(sK38)) ),
inference(resolution,[],[f54651,f44573]) ).
fof(f54677,definition,
( spl1150_71
<=> m1_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_71])],[avatar_definition]) ).
fof(f54678,plain,
( ~ m1_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| spl1150_71 ),
inference(avatar_component_clause,[],[f54677]) ).
fof(f54681,plain,
( ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| spl1150_71 ),
inference(resolution,[],[f54678,f44111]) ).
fof(f54683,plain,
( $false
| spl1150_71 ),
inference(forward_subsumption_resolution,[],[f54681,f54383]) ).
fof(f54684,plain,
spl1150_71,
inference(avatar_contradiction_clause,[],[f54683]) ).
fof(f54692,plain,
! [X0] :
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| v1_group_1(k5_group_4(sK38,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK38))) ),
inference(resolution,[],[f44265,f44030]) ).
fof(f54695,plain,
! [X0] :
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| v1_group_1(k5_group_4(sK38,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK38))) ),
inference(forward_subsumption_resolution,[],[f54692,f44033]) ).
fof(f54697,plain,
! [X0] :
( ~ v4_group_1(sK38)
| v1_group_1(k5_group_4(sK38,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK38))) ),
inference(forward_subsumption_resolution,[],[f54695,f44032]) ).
fof(f54699,plain,
! [X0] :
( v1_group_1(k5_group_4(sK38,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK38))) ),
inference(forward_subsumption_resolution,[],[f54697,f44031]) ).
fof(f54701,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK38)))
| v1_group_1(k5_group_4(sK38,X0)) ),
inference(forward_demodulation,[],[f54699,f54373]) ).
fof(f54712,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(sK39,X0,X1)
| v1_xboole_0(X0)
| k1_funct_1(sK39,X2) = k8_funct_2(X0,X1,sK39,X2)
| ~ m1_subset_1(X2,X0)
| ~ m2_relset_1(sK39,X0,X1) ),
inference(resolution,[],[f54635,f44037]) ).
fof(f54747,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK37))
| k1_funct_1(sK39,X0) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK37))
| ~ m2_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38)) ),
inference(resolution,[],[f54712,f44036]) ).
fof(f54750,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK37))
| k1_funct_1(sK39,X0) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(forward_subsumption_resolution,[],[f54747,f44034]) ).
fof(f54752,definition,
( spl1150_77
<=> ! [X0] :
( k1_funct_1(sK39,X0) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,X0)
| ~ m1_subset_1(X0,k2_pre_topc(sK37)) ) ),
introduced(definition,[new_symbols(definition,[spl1150_77])],[avatar_definition]) ).
fof(f54753,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK37))
| k1_funct_1(sK39,X0) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,X0) )
| ~ spl1150_77 ),
inference(avatar_component_clause,[],[f54752]) ).
fof(f54755,definition,
( spl1150_78
<=> v1_xboole_0(k2_pre_topc(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_78])],[avatar_definition]) ).
fof(f54756,plain,
( v1_xboole_0(k2_pre_topc(sK37))
| ~ spl1150_78 ),
inference(avatar_component_clause,[],[f54755]) ).
fof(f54758,plain,
! [X0] :
( v1_xboole_0(k2_pre_topc(sK37))
| k1_funct_1(sK39,X0) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(forward_demodulation,[],[f54750,f54374]) ).
fof(f54759,plain,
! [X0] :
( k1_funct_1(sK39,X0) = k8_funct_2(u1_struct_0(sK37),k2_pre_topc(sK38),sK39,X0)
| v1_xboole_0(k2_pre_topc(sK37))
| ~ m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(forward_demodulation,[],[f54758,f54373]) ).
fof(f54760,plain,
! [X0] :
( k1_funct_1(sK39,X0) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,X0)
| v1_xboole_0(k2_pre_topc(sK37))
| ~ m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(forward_demodulation,[],[f54759,f54374]) ).
fof(f54761,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK37))
| k1_funct_1(sK39,X0) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,X0)
| v1_xboole_0(k2_pre_topc(sK37)) ),
inference(forward_demodulation,[],[f54760,f54374]) ).
fof(f54762,plain,
( spl1150_78
| spl1150_77 ),
inference(avatar_split_clause,[],[f54761,f54752,f54755]) ).
fof(f54763,plain,
( k1_funct_1(sK39,k2_group_1(sK37)) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,k2_group_1(sK37))
| ~ spl1150_77 ),
inference(resolution,[],[f54753,f54547]) ).
fof(f54766,plain,
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(k11_group_4(sK38)) = k1_group_3(sK38) ),
inference(resolution,[],[f44122,f44030]) ).
fof(f54767,plain,
( v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| u1_struct_0(k11_group_4(sK37)) = k1_group_3(sK37) ),
inference(resolution,[],[f44122,f44026]) ).
fof(f54768,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| u1_struct_0(k11_group_4(sK37)) = k1_group_3(sK37) ),
inference(forward_subsumption_resolution,[],[f54767,f44029]) ).
fof(f54769,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(k11_group_4(sK38)) = k1_group_3(sK38) ),
inference(forward_subsumption_resolution,[],[f54766,f44033]) ).
fof(f54770,plain,
( ~ v4_group_1(sK37)
| u1_struct_0(k11_group_4(sK37)) = k1_group_3(sK37) ),
inference(forward_subsumption_resolution,[],[f54768,f44028]) ).
fof(f54771,plain,
( ~ v4_group_1(sK38)
| u1_struct_0(k11_group_4(sK38)) = k1_group_3(sK38) ),
inference(forward_subsumption_resolution,[],[f54769,f44032]) ).
fof(f54772,plain,
u1_struct_0(k11_group_4(sK37)) = k1_group_3(sK37),
inference(forward_subsumption_resolution,[],[f54770,f44027]) ).
fof(f54773,plain,
u1_struct_0(k11_group_4(sK38)) = k1_group_3(sK38),
inference(forward_subsumption_resolution,[],[f54771,f44031]) ).
fof(f54776,plain,
! [X0,X1] :
( m2_relset_1(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(superposition,[],[f43970,f54773]) ).
fof(f54778,plain,
! [X0,X1] :
( v1_funct_2(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(superposition,[],[f43971,f54773]) ).
fof(f54844,plain,
! [X0,X1] :
( v1_funct_2(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54778,f44033]) ).
fof(f54846,plain,
! [X0,X1] :
( m2_relset_1(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54776,f44033]) ).
fof(f54853,plain,
! [X0,X1] :
( v1_funct_2(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54844,f44032]) ).
fof(f54855,plain,
! [X0,X1] :
( m2_relset_1(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54846,f44032]) ).
fof(f54861,plain,
! [X0,X1] :
( v1_funct_2(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ l1_group_1(sK38)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54853,f44031]) ).
fof(f54863,plain,
! [X0,X1] :
( m2_relset_1(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ l1_group_1(sK38)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54855,f44031]) ).
fof(f54869,plain,
! [X0,X1] :
( v1_funct_2(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54861,f44030]) ).
fof(f54871,plain,
! [X0,X1] :
( m2_relset_1(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK38))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f54863,f44030]) ).
fof(f54877,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),k2_pre_topc(sK38))
| v1_funct_2(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_demodulation,[],[f54869,f54373]) ).
fof(f54879,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),k2_pre_topc(sK38))
| m2_relset_1(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK38)) ),
inference(forward_demodulation,[],[f54871,f54373]) ).
fof(f54885,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),k2_pre_topc(sK38))
| v1_funct_2(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),k2_pre_topc(sK38))
| ~ v1_funct_1(X1) ),
inference(forward_demodulation,[],[f54877,f54373]) ).
fof(f54887,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v1_funct_2(X1,u1_struct_0(X0),k2_pre_topc(sK38))
| m2_relset_1(k3_latsubgr(X0,sK38,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK38))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ m1_relset_1(X1,u1_struct_0(X0),k2_pre_topc(sK38))
| ~ v1_funct_1(X1) ),
inference(forward_demodulation,[],[f54879,f54373]) ).
fof(f54963,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| m2_relset_1(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(resolution,[],[f54887,f44026]) ).
fof(f54964,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| m2_relset_1(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f54963,f44029]) ).
fof(f54966,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| m2_relset_1(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ v4_group_1(sK37)
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f54964,f44028]) ).
fof(f54968,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| m2_relset_1(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f54966,f44027]) ).
fof(f54970,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| m2_relset_1(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f54968,f54374]) ).
fof(f54972,plain,
! [X0] :
( m2_relset_1(k3_latsubgr(sK37,sK38,X0),k1_group_3(sK37),k1_group_3(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f54970,f54772]) ).
fof(f54974,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| m2_relset_1(k3_latsubgr(sK37,sK38,X0),k1_group_3(sK37),k1_group_3(sK38))
| ~ m1_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f54972,f54374]) ).
fof(f54976,plain,
( m2_relset_1(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| ~ m1_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(sK39) ),
inference(resolution,[],[f54974,f54382]) ).
fof(f54977,plain,
( m2_relset_1(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| ~ m1_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38)) ),
inference(forward_subsumption_resolution,[],[f54976,f44037]) ).
fof(f54979,definition,
( spl1150_96
<=> m2_relset_1(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_96])],[avatar_definition]) ).
fof(f54980,plain,
( m2_relset_1(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| ~ spl1150_96 ),
inference(avatar_component_clause,[],[f54979]) ).
fof(f54981,plain,
( ~ spl1150_71
| spl1150_96 ),
inference(avatar_split_clause,[],[f54977,f54979,f54677]) ).
fof(f54999,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| v1_funct_2(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(resolution,[],[f54885,f44026]) ).
fof(f55000,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| v1_funct_2(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f54999,f44029]) ).
fof(f55002,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| v1_funct_2(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ v4_group_1(sK37)
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f55000,f44028]) ).
fof(f55004,plain,
! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| v1_funct_2(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f55002,f44027]) ).
fof(f55006,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| v1_funct_2(k3_latsubgr(sK37,sK38,X0),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f55004,f54374]) ).
fof(f55008,plain,
! [X0] :
( v1_funct_2(k3_latsubgr(sK37,sK38,X0),k1_group_3(sK37),k1_group_3(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f55006,f54772]) ).
fof(f55010,plain,
! [X0] :
( v1_funct_2(k3_latsubgr(sK37,sK38,X0),k1_group_3(sK37),k1_group_3(sK38))
| ~ m1_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0) ),
inference(forward_demodulation,[],[f55008,f54374]) ).
fof(f55213,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X2)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f48361,f47583]) ).
fof(f55214,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X2)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(resolution,[],[f55213,f47583]) ).
fof(f55215,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK38))
| v3_struct_0(sK38)
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(sK38)) ),
inference(resolution,[],[f55214,f44030]) ).
fof(f55218,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(sK38))
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f55215,f44033]) ).
fof(f55220,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,u1_struct_0(X1),k2_pre_topc(sK38))
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(sK38)) ),
inference(forward_demodulation,[],[f55218,f54373]) ).
fof(f55222,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),k2_pre_topc(sK38))
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(X1)
| ~ v1_funct_2(X0,u1_struct_0(X1),k2_pre_topc(sK38)) ),
inference(forward_demodulation,[],[f55220,f54373]) ).
fof(f55224,plain,
! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(sK37)
| ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38)) ),
inference(resolution,[],[f55222,f44026]) ).
fof(f55225,plain,
! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(sK37)
| ~ v1_funct_2(X0,u1_struct_0(sK37),k2_pre_topc(sK38)) ),
inference(forward_demodulation,[],[f55224,f54374]) ).
fof(f55227,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0)
| k1_relat_1(X0) = k2_pre_topc(sK37) ),
inference(forward_demodulation,[],[f55225,f54374]) ).
fof(f55235,plain,
( ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(sK39)
| k2_pre_topc(sK37) = k1_relat_1(sK39) ),
inference(resolution,[],[f55227,f54382]) ).
fof(f55236,plain,
( ~ v1_funct_1(sK39)
| k2_pre_topc(sK37) = k1_relat_1(sK39) ),
inference(forward_subsumption_resolution,[],[f55235,f54383]) ).
fof(f55237,plain,
k2_pre_topc(sK37) = k1_relat_1(sK39),
inference(forward_subsumption_resolution,[],[f55236,f44037]) ).
fof(f55327,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ v1_funct_1(sK39)
| ~ v1_funct_2(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
| ~ m2_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(resolution,[],[f53083,f54364]) ).
fof(f55328,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ v1_funct_2(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
| ~ m2_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55327,f44037]) ).
fof(f55329,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(sK39,u1_struct_0(sK37),u1_struct_0(sK38))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55328,f44036]) ).
fof(f55330,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55329,f44034]) ).
fof(f55331,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55330,f44033]) ).
fof(f55332,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55331,f44032]) ).
fof(f55333,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ l1_group_1(sK38)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55332,f44031]) ).
fof(f55334,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55333,f44030]) ).
fof(f55335,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55334,f44029]) ).
fof(f55336,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55335,f44028]) ).
fof(f55337,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ l1_group_1(sK37) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55336,f44027]) ).
fof(f55338,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38))) )
| ~ spl1150_45 ),
inference(forward_subsumption_resolution,[],[f55337,f44026]) ).
fof(f55339,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38))) )
| ~ spl1150_45 ),
inference(forward_demodulation,[],[f55338,f54373]) ).
fof(f55340,plain,
( ! [X0] :
( ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),u1_struct_0(sK38),sK39,u1_struct_0(X0)))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38))) )
| ~ spl1150_45 ),
inference(forward_demodulation,[],[f55339,f54374]) ).
fof(f55341,plain,
( ! [X0] :
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(u1_struct_0(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38))) )
| ~ spl1150_45 ),
inference(forward_demodulation,[],[f55340,f54373]) ).
fof(f55342,plain,
( ! [X0] :
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38)))
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38))) )
| ~ spl1150_45 ),
inference(forward_demodulation,[],[f55341,f54374]) ).
fof(f55343,plain,
( ! [X0] :
( ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38))) )
| ~ spl1150_45 ),
inference(forward_demodulation,[],[f55342,f54773]) ).
fof(f55344,plain,
( ! [X0] :
( ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37)
| ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),u1_struct_0(k11_group_4(sK38))) )
| ~ spl1150_45 ),
inference(forward_demodulation,[],[f55343,f54772]) ).
fof(f55345,plain,
( ! [X0] :
( ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),u1_struct_0(k11_group_4(sK37)),k1_group_3(sK38))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37) )
| ~ spl1150_45 ),
inference(forward_demodulation,[],[f55344,f54773]) ).
fof(f55346,plain,
( ! [X0] :
( ~ m2_relset_1(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37) )
| ~ spl1150_45 ),
inference(forward_demodulation,[],[f55345,f54772]) ).
fof(f55347,plain,
( ! [X0] :
( ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK37) )
| ~ spl1150_45
| ~ spl1150_96 ),
inference(forward_subsumption_resolution,[],[f55346,f54980]) ).
fof(f55349,definition,
( spl1150_106
<=> ! [X0] :
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ m1_group_2(X0,sK37)
| ~ v1_group_1(X0)
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38))) ) ),
introduced(definition,[new_symbols(definition,[spl1150_106])],[avatar_definition]) ).
fof(f55350,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK37)
| k1_funct_1(k3_latsubgr(sK37,sK38,sK39),X0) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)),k1_zfmisc_1(k2_pre_topc(sK38))) )
| ~ spl1150_106 ),
inference(avatar_component_clause,[],[f55349]) ).
fof(f55352,definition,
( spl1150_107
<=> v1_funct_2(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_107])],[avatar_definition]) ).
fof(f55353,plain,
( ~ v1_funct_2(k3_latsubgr(sK37,sK38,sK39),k1_group_3(sK37),k1_group_3(sK38))
| spl1150_107 ),
inference(avatar_component_clause,[],[f55352]) ).
fof(f55354,plain,
( spl1150_106
| ~ spl1150_107
| ~ spl1150_45
| ~ spl1150_96 ),
inference(avatar_split_clause,[],[f55347,f54979,f54363,f55352,f55349]) ).
fof(f55355,plain,
( ~ m1_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_2(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(sK39)
| spl1150_107 ),
inference(resolution,[],[f55353,f55010]) ).
fof(f55356,plain,
( ~ m1_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(sK39)
| spl1150_107 ),
inference(forward_subsumption_resolution,[],[f55355,f54382]) ).
fof(f55357,plain,
( ~ m1_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| spl1150_107 ),
inference(forward_subsumption_resolution,[],[f55356,f44037]) ).
fof(f55358,plain,
( ~ spl1150_71
| spl1150_107 ),
inference(avatar_split_clause,[],[f55357,f55352,f54677]) ).
fof(f55360,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))))
| ~ v1_group_1(k5_group_2(sK37))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| ~ spl1150_106 ),
inference(resolution,[],[f55350,f44589]) ).
fof(f55363,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| ~ spl1150_106 ),
inference(forward_subsumption_resolution,[],[f55360,f44590]) ).
fof(f55365,definition,
( spl1150_108
<=> m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38))) ),
introduced(definition,[new_symbols(definition,[spl1150_108])],[avatar_definition]) ).
fof(f55366,plain,
( ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| spl1150_108 ),
inference(avatar_component_clause,[],[f55365]) ).
fof(f55367,plain,
( ~ v1_group_1(k5_group_2(sK37))
| spl1150_57 ),
inference(avatar_component_clause,[],[f54464]) ).
fof(f55369,definition,
( spl1150_109
<=> k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37)))) ),
introduced(definition,[new_symbols(definition,[spl1150_109])],[avatar_definition]) ).
fof(f55370,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))))
| ~ spl1150_109 ),
inference(avatar_component_clause,[],[f55369]) ).
fof(f55373,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| ~ spl1150_106 ),
inference(forward_subsumption_resolution,[],[f55363,f44029]) ).
fof(f55384,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| ~ spl1150_106 ),
inference(forward_subsumption_resolution,[],[f55373,f44028]) ).
fof(f55385,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ l1_group_1(sK37)
| ~ spl1150_106 ),
inference(forward_subsumption_resolution,[],[f55384,f44027]) ).
fof(f55386,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))))
| ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ spl1150_106 ),
inference(forward_subsumption_resolution,[],[f55385,f44026]) ).
fof(f55387,plain,
( ~ spl1150_108
| spl1150_109
| ~ spl1150_106 ),
inference(avatar_split_clause,[],[f55386,f55349,f55369,f55365]) ).
fof(f55468,plain,
( ~ v1_group_1(k5_group_2(sK38))
| ~ m1_group_2(k5_group_2(sK38),sK38)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(k5_group_2(sK38)) = k6_domain_1(u1_struct_0(sK38),k2_group_1(sK38)) ),
inference(resolution,[],[f53135,f44030]) ).
fof(f55469,plain,
( ~ v1_group_1(k5_group_2(sK37))
| ~ m1_group_2(k5_group_2(sK37),sK37)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| u1_struct_0(k5_group_2(sK37)) = k6_domain_1(u1_struct_0(sK37),k2_group_1(sK37)) ),
inference(resolution,[],[f53135,f44026]) ).
fof(f55470,plain,
( ~ v1_group_1(k5_group_2(sK37))
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| u1_struct_0(k5_group_2(sK37)) = k6_domain_1(u1_struct_0(sK37),k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55469,f54528]) ).
fof(f55471,plain,
( ~ v1_group_1(k5_group_2(sK38))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(k5_group_2(sK38)) = k6_domain_1(u1_struct_0(sK38),k2_group_1(sK38)) ),
inference(forward_subsumption_resolution,[],[f55468,f54513]) ).
fof(f55472,plain,
( ~ v1_group_1(k5_group_2(sK37))
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| u1_struct_0(k5_group_2(sK37)) = k6_domain_1(u1_struct_0(sK37),k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55470,f44029]) ).
fof(f55473,plain,
( ~ v1_group_1(k5_group_2(sK38))
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(k5_group_2(sK38)) = k6_domain_1(u1_struct_0(sK38),k2_group_1(sK38)) ),
inference(forward_subsumption_resolution,[],[f55471,f44033]) ).
fof(f55474,plain,
( ~ v1_group_1(k5_group_2(sK37))
| ~ v4_group_1(sK37)
| u1_struct_0(k5_group_2(sK37)) = k6_domain_1(u1_struct_0(sK37),k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55472,f44028]) ).
fof(f55475,plain,
( ~ v1_group_1(k5_group_2(sK38))
| ~ v4_group_1(sK38)
| u1_struct_0(k5_group_2(sK38)) = k6_domain_1(u1_struct_0(sK38),k2_group_1(sK38)) ),
inference(forward_subsumption_resolution,[],[f55473,f44032]) ).
fof(f55476,plain,
( ~ v1_group_1(k5_group_2(sK37))
| u1_struct_0(k5_group_2(sK37)) = k6_domain_1(u1_struct_0(sK37),k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55474,f44027]) ).
fof(f55477,plain,
( ~ v1_group_1(k5_group_2(sK38))
| u1_struct_0(k5_group_2(sK38)) = k6_domain_1(u1_struct_0(sK38),k2_group_1(sK38)) ),
inference(forward_subsumption_resolution,[],[f55475,f44031]) ).
fof(f55478,plain,
( u1_struct_0(k5_group_2(sK37)) = k6_domain_1(k2_pre_topc(sK37),k2_group_1(sK37))
| ~ v1_group_1(k5_group_2(sK37)) ),
inference(forward_demodulation,[],[f55476,f54374]) ).
fof(f55479,plain,
( u1_struct_0(k5_group_2(sK38)) = k6_domain_1(k2_pre_topc(sK38),k2_group_1(sK38))
| ~ v1_group_1(k5_group_2(sK38)) ),
inference(forward_demodulation,[],[f55477,f54373]) ).
fof(f55481,definition,
( spl1150_113
<=> u1_struct_0(k5_group_2(sK37)) = k6_domain_1(k2_pre_topc(sK37),k2_group_1(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_113])],[avatar_definition]) ).
fof(f55482,plain,
( u1_struct_0(k5_group_2(sK37)) = k6_domain_1(k2_pre_topc(sK37),k2_group_1(sK37))
| ~ spl1150_113 ),
inference(avatar_component_clause,[],[f55481]) ).
fof(f55483,plain,
( ~ spl1150_57
| spl1150_113 ),
inference(avatar_split_clause,[],[f55478,f55481,f54464]) ).
fof(f55484,plain,
( ~ v1_group_1(k5_group_2(sK38))
| spl1150_51 ),
inference(avatar_component_clause,[],[f54438]) ).
fof(f55486,definition,
( spl1150_114
<=> u1_struct_0(k5_group_2(sK38)) = k6_domain_1(k2_pre_topc(sK38),k2_group_1(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_114])],[avatar_definition]) ).
fof(f55487,plain,
( u1_struct_0(k5_group_2(sK38)) = k6_domain_1(k2_pre_topc(sK38),k2_group_1(sK38))
| ~ spl1150_114 ),
inference(avatar_component_clause,[],[f55486]) ).
fof(f55488,plain,
( ~ spl1150_51
| spl1150_114 ),
inference(avatar_split_clause,[],[f55479,f55486,f54438]) ).
fof(f55490,plain,
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_51 ),
inference(resolution,[],[f55484,f44590]) ).
fof(f55492,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_51 ),
inference(forward_subsumption_resolution,[],[f55490,f44033]) ).
fof(f55493,plain,
( ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_51 ),
inference(forward_subsumption_resolution,[],[f55492,f44032]) ).
fof(f55494,plain,
( ~ l1_group_1(sK38)
| spl1150_51 ),
inference(forward_subsumption_resolution,[],[f55493,f44031]) ).
fof(f55495,plain,
( $false
| spl1150_51 ),
inference(forward_subsumption_resolution,[],[f55494,f44030]) ).
fof(f55496,plain,
spl1150_51,
inference(avatar_contradiction_clause,[],[f55495]) ).
fof(f55498,plain,
( v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_57 ),
inference(resolution,[],[f55367,f44590]) ).
fof(f55500,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_57 ),
inference(forward_subsumption_resolution,[],[f55498,f44029]) ).
fof(f55501,plain,
( ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_57 ),
inference(forward_subsumption_resolution,[],[f55500,f44028]) ).
fof(f55502,plain,
( ~ l1_group_1(sK37)
| spl1150_57 ),
inference(forward_subsumption_resolution,[],[f55501,f44027]) ).
fof(f55503,plain,
( $false
| spl1150_57 ),
inference(forward_subsumption_resolution,[],[f55502,f44026]) ).
fof(f55504,plain,
spl1150_57,
inference(avatar_contradiction_clause,[],[f55503]) ).
fof(f55741,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK37),u1_struct_0(X1))
| ~ v1_group_6(X0,sK37,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK37),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(X1),X0,k2_group_1(sK37)) ),
inference(resolution,[],[f44439,f44026]) ).
fof(f55742,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK37),u1_struct_0(X1))
| ~ v1_group_6(X0,sK37,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK37),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(X1),X0,k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55741,f44029]) ).
fof(f55744,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK37),u1_struct_0(X1))
| ~ v1_group_6(X0,sK37,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK37),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(sK37)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(X1),X0,k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55742,f44028]) ).
fof(f55746,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK37),u1_struct_0(X1))
| ~ v1_group_6(X0,sK37,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK37),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(X1),X0,k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55744,f44027]) ).
fof(f55748,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK37),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(X1),X0,k2_group_1(sK37)) ),
inference(forward_demodulation,[],[f55746,f54374]) ).
fof(f55750,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(X1))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(sK37),u1_struct_0(X1),X0,k2_group_1(sK37)) ),
inference(forward_demodulation,[],[f55748,f54374]) ).
fof(f55752,plain,
! [X0,X1] :
( ~ l1_group_1(X1)
| ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(X1))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| k2_group_1(X1) = k8_funct_2(k2_pre_topc(sK37),u1_struct_0(X1),X0,k2_group_1(sK37)) ),
inference(forward_demodulation,[],[f55750,f54374]) ).
fof(f55754,plain,
! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,k2_group_1(sK37)) ),
inference(resolution,[],[f55752,f44030]) ).
fof(f55757,plain,
! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55754,f44033]) ).
fof(f55759,plain,
! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| ~ v4_group_1(sK38)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55757,f44032]) ).
fof(f55761,plain,
! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55759,f44031]) ).
fof(f55763,plain,
! [X0] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,k2_group_1(sK37)) ),
inference(forward_demodulation,[],[f55761,f54373]) ).
fof(f55765,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,k2_group_1(sK37)) ),
inference(forward_demodulation,[],[f55763,f54373]) ).
fof(f55767,plain,
! [X0] :
( ~ v1_group_6(X0,sK37,sK38)
| ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(X0)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),X0,k2_group_1(sK37)) ),
inference(forward_demodulation,[],[f55765,f54373]) ).
fof(f55777,plain,
( ~ v1_funct_2(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(sK39)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,k2_group_1(sK37)) ),
inference(resolution,[],[f55767,f44035]) ).
fof(f55778,plain,
( ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_1(sK39)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55777,f54382]) ).
fof(f55779,plain,
( ~ v1_funct_1(sK39)
| k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,k2_group_1(sK37)) ),
inference(forward_subsumption_resolution,[],[f55778,f54383]) ).
fof(f55780,plain,
k2_group_1(sK38) = k8_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,k2_group_1(sK37)),
inference(forward_subsumption_resolution,[],[f55779,f44037]) ).
fof(f55782,plain,
( k2_group_1(sK38) = k1_funct_1(sK39,k2_group_1(sK37))
| ~ spl1150_77 ),
inference(superposition,[],[f54763,f55780]) ).
fof(f55792,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| k9_relat_1(X0,X3) = k2_funct_2(X1,X2,X0,X3)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f44416,f44111]) ).
fof(f56062,definition,
( spl1150_130
<=> v1_xboole_0(k2_pre_topc(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_130])],[avatar_definition]) ).
fof(f56063,plain,
( v1_xboole_0(k2_pre_topc(sK38))
| ~ spl1150_130 ),
inference(avatar_component_clause,[],[f56062]) ).
fof(f56302,plain,
( ~ v3_struct_0(k5_group_2(sK37))
| spl1150_55 ),
inference(avatar_component_clause,[],[f54457]) ).
fof(f56308,plain,
( v3_group_1(k5_group_2(sK37))
| ~ spl1150_54 ),
inference(avatar_component_clause,[],[f54454]) ).
fof(f56310,plain,
( v4_group_1(k5_group_2(sK37))
| ~ spl1150_53 ),
inference(avatar_component_clause,[],[f54451]) ).
fof(f56629,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK37),u1_struct_0(X2))
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| m1_group_2(sK32(sK37,X2,X1,X0),X2) ),
inference(resolution,[],[f43983,f44026]) ).
fof(f56630,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK37),u1_struct_0(X2))
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| m1_group_2(sK32(sK37,X2,X1,X0),X2) ),
inference(forward_subsumption_resolution,[],[f56629,f44029]) ).
fof(f56632,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK37),u1_struct_0(X2))
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(sK37)
| m1_group_2(sK32(sK37,X2,X1,X0),X2) ),
inference(forward_subsumption_resolution,[],[f56630,f44028]) ).
fof(f56634,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK37),u1_struct_0(X2))
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| m1_group_2(sK32(sK37,X2,X1,X0),X2) ),
inference(forward_subsumption_resolution,[],[f56632,f44027]) ).
fof(f56636,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X1,k2_pre_topc(sK37),u1_struct_0(X2))
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| m1_group_2(sK32(sK37,X2,X1,X0),X2) ),
inference(forward_demodulation,[],[f56634,f54374]) ).
fof(f56638,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X2)
| ~ v1_funct_2(X1,k2_pre_topc(sK37),u1_struct_0(X2))
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,sK37,X2)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m2_relset_1(X1,k2_pre_topc(sK37),u1_struct_0(X2))
| m1_group_2(sK32(sK37,X2,X1,X0),X2) ),
inference(forward_demodulation,[],[f56636,f54374]) ).
fof(f56640,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| m1_group_2(sK32(sK37,sK38,X0,X1),sK38) ),
inference(resolution,[],[f56638,f44030]) ).
fof(f56643,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| m1_group_2(sK32(sK37,sK38,X0,X1),sK38) ),
inference(forward_subsumption_resolution,[],[f56640,f44033]) ).
fof(f56645,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| ~ v4_group_1(sK38)
| ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| m1_group_2(sK32(sK37,sK38,X0,X1),sK38) ),
inference(forward_subsumption_resolution,[],[f56643,f44032]) ).
fof(f56647,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| m1_group_2(sK32(sK37,sK38,X0,X1),sK38) ),
inference(forward_subsumption_resolution,[],[f56645,f44031]) ).
fof(f56649,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| m1_group_2(sK32(sK37,sK38,X0,X1),sK38) ),
inference(forward_demodulation,[],[f56647,f54373]) ).
fof(f56651,plain,
! [X0,X1] :
( ~ v1_group_6(X0,sK37,sK38)
| ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| m1_group_2(sK32(sK37,sK38,X0,X1),sK38) ),
inference(forward_demodulation,[],[f56649,f54373]) ).
fof(f56659,plain,
! [X0] :
( ~ v1_funct_2(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(sK39)
| ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| m1_group_2(sK32(sK37,sK38,sK39,X0),sK38) ),
inference(resolution,[],[f56651,f44035]) ).
fof(f56660,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(sK39)
| ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| m1_group_2(sK32(sK37,sK38,sK39,X0),sK38) ),
inference(forward_subsumption_resolution,[],[f56659,f54382]) ).
fof(f56661,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| m1_group_2(sK32(sK37,sK38,sK39,X0),sK38) ),
inference(forward_subsumption_resolution,[],[f56660,f44037]) ).
fof(f56662,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| m1_group_2(sK32(sK37,sK38,sK39,X0),sK38) ),
inference(forward_subsumption_resolution,[],[f56661,f54383]) ).
fof(f56663,plain,
m1_group_2(sK32(sK37,sK38,sK39,k5_group_2(sK37)),sK38),
inference(resolution,[],[f56662,f54528]) ).
fof(f56736,plain,
( ~ v3_struct_0(k5_group_2(sK38))
| spl1150_49 ),
inference(avatar_component_clause,[],[f54431]) ).
fof(f56742,plain,
( v3_group_1(k5_group_2(sK38))
| ~ spl1150_48 ),
inference(avatar_component_clause,[],[f54428]) ).
fof(f56744,plain,
( v4_group_1(k5_group_2(sK38))
| ~ spl1150_47 ),
inference(avatar_component_clause,[],[f54425]) ).
fof(f56759,plain,
( u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))) = k7_group_2(sK38,sK32(sK37,sK38,sK39,k5_group_2(sK37)))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38) ),
inference(resolution,[],[f56663,f45787]) ).
fof(f56762,plain,
( u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))) = k7_group_2(sK38,sK32(sK37,sK38,sK39,k5_group_2(sK37)))
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38) ),
inference(forward_subsumption_resolution,[],[f56759,f44033]) ).
fof(f56765,plain,
( u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))) = k7_group_2(sK38,sK32(sK37,sK38,sK39,k5_group_2(sK37)))
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38) ),
inference(forward_subsumption_resolution,[],[f56762,f44032]) ).
fof(f56768,plain,
( u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))) = k7_group_2(sK38,sK32(sK37,sK38,sK39,k5_group_2(sK37)))
| ~ l1_group_1(sK38) ),
inference(forward_subsumption_resolution,[],[f56765,f44031]) ).
fof(f56771,plain,
u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))) = k7_group_2(sK38,sK32(sK37,sK38,sK39,k5_group_2(sK37))),
inference(forward_subsumption_resolution,[],[f56768,f44030]) ).
fof(f57235,plain,
! [X0] :
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| m1_subset_1(k7_group_2(sK38,X0),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ m1_group_2(X0,sK38) ),
inference(resolution,[],[f45773,f44030]) ).
fof(f57236,plain,
! [X0] :
( v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| m1_subset_1(k7_group_2(sK37,X0),k1_zfmisc_1(u1_struct_0(sK37)))
| ~ m1_group_2(X0,sK37) ),
inference(resolution,[],[f45773,f44026]) ).
fof(f57237,plain,
! [X0] :
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| m1_subset_1(k7_group_2(sK37,X0),k1_zfmisc_1(u1_struct_0(sK37)))
| ~ m1_group_2(X0,sK37) ),
inference(forward_subsumption_resolution,[],[f57236,f44029]) ).
fof(f57238,plain,
! [X0] :
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| m1_subset_1(k7_group_2(sK38,X0),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ m1_group_2(X0,sK38) ),
inference(forward_subsumption_resolution,[],[f57235,f44033]) ).
fof(f57239,plain,
! [X0] :
( ~ v4_group_1(sK37)
| m1_subset_1(k7_group_2(sK37,X0),k1_zfmisc_1(u1_struct_0(sK37)))
| ~ m1_group_2(X0,sK37) ),
inference(forward_subsumption_resolution,[],[f57237,f44028]) ).
fof(f57240,plain,
! [X0] :
( ~ v4_group_1(sK38)
| m1_subset_1(k7_group_2(sK38,X0),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ m1_group_2(X0,sK38) ),
inference(forward_subsumption_resolution,[],[f57238,f44032]) ).
fof(f57241,plain,
! [X0] :
( m1_subset_1(k7_group_2(sK37,X0),k1_zfmisc_1(u1_struct_0(sK37)))
| ~ m1_group_2(X0,sK37) ),
inference(forward_subsumption_resolution,[],[f57239,f44027]) ).
fof(f57242,plain,
! [X0] :
( m1_subset_1(k7_group_2(sK38,X0),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ m1_group_2(X0,sK38) ),
inference(forward_subsumption_resolution,[],[f57240,f44031]) ).
fof(f57243,plain,
! [X0] :
( m1_subset_1(k7_group_2(sK37,X0),k1_zfmisc_1(k2_pre_topc(sK37)))
| ~ m1_group_2(X0,sK37) ),
inference(forward_demodulation,[],[f57241,f54374]) ).
fof(f57244,plain,
! [X0] :
( m1_subset_1(k7_group_2(sK38,X0),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ m1_group_2(X0,sK38) ),
inference(forward_demodulation,[],[f57242,f54373]) ).
fof(f57247,plain,
( m1_subset_1(u1_struct_0(k5_group_2(sK37)),k1_zfmisc_1(k2_pre_topc(sK37)))
| ~ m1_group_2(k5_group_2(sK37),sK37) ),
inference(superposition,[],[f57243,f54555]) ).
fof(f57252,plain,
m1_subset_1(u1_struct_0(k5_group_2(sK37)),k1_zfmisc_1(k2_pre_topc(sK37))),
inference(forward_subsumption_resolution,[],[f57247,f54528]) ).
fof(f57259,plain,
( m1_subset_1(u1_struct_0(k5_group_2(sK38)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ m1_group_2(k5_group_2(sK38),sK38) ),
inference(superposition,[],[f57244,f54556]) ).
fof(f57261,plain,
( m1_subset_1(u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ m1_group_2(sK32(sK37,sK38,sK39,k5_group_2(sK37)),sK38) ),
inference(superposition,[],[f57244,f56771]) ).
fof(f57262,plain,
m1_subset_1(u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38))),
inference(forward_subsumption_resolution,[],[f57261,f56663]) ).
fof(f57264,plain,
m1_subset_1(u1_struct_0(k5_group_2(sK38)),k1_zfmisc_1(k2_pre_topc(sK38))),
inference(forward_subsumption_resolution,[],[f57259,f54513]) ).
fof(f57536,plain,
( ! [X0] : ~ r2_hidden(X0,k2_pre_topc(sK37))
| ~ spl1150_78 ),
inference(resolution,[],[f54756,f44233]) ).
fof(f57547,plain,
( ! [X0] : r1_tarski(k2_pre_topc(sK37),X0)
| ~ spl1150_78 ),
inference(resolution,[],[f57536,f44545]) ).
fof(f57565,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK37),u1_struct_0(X2))
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| k2_funct_2(u1_struct_0(sK37),u1_struct_0(X2),X1,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,X2,X1,X0)) ),
inference(resolution,[],[f43982,f44026]) ).
fof(f57566,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK37),u1_struct_0(X2))
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| k2_funct_2(u1_struct_0(sK37),u1_struct_0(X2),X1,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,X2,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f57565,f44029]) ).
fof(f57568,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK37),u1_struct_0(X2))
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(sK37)
| k2_funct_2(u1_struct_0(sK37),u1_struct_0(X2),X1,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,X2,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f57566,f44028]) ).
fof(f57570,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK37),u1_struct_0(X2))
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| k2_funct_2(u1_struct_0(sK37),u1_struct_0(X2),X1,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,X2,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f57568,f44027]) ).
fof(f57572,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X1,k2_pre_topc(sK37),u1_struct_0(X2))
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,sK37,X2)
| ~ m2_relset_1(X1,u1_struct_0(sK37),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| k2_funct_2(u1_struct_0(sK37),u1_struct_0(X2),X1,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,X2,X1,X0)) ),
inference(forward_demodulation,[],[f57570,f54374]) ).
fof(f57574,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,k2_pre_topc(sK37),u1_struct_0(X2))
| ~ v1_funct_2(X1,k2_pre_topc(sK37),u1_struct_0(X2))
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,sK37,X2)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| k2_funct_2(u1_struct_0(sK37),u1_struct_0(X2),X1,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,X2,X1,X0)) ),
inference(forward_demodulation,[],[f57572,f54374]) ).
fof(f57576,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X2)
| ~ m2_relset_1(X1,k2_pre_topc(sK37),u1_struct_0(X2))
| ~ v1_funct_2(X1,k2_pre_topc(sK37),u1_struct_0(X2))
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,sK37,X2)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| u1_struct_0(sK32(sK37,X2,X1,X0)) = k2_funct_2(k2_pre_topc(sK37),u1_struct_0(X2),X1,u1_struct_0(X0)) ),
inference(forward_demodulation,[],[f57574,f54374]) ).
fof(f57578,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(sK32(sK37,sK38,X0,X1)) = k2_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,u1_struct_0(X1)) ),
inference(resolution,[],[f57576,f44030]) ).
fof(f57581,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(sK32(sK37,sK38,X0,X1)) = k2_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f57578,f44033]) ).
fof(f57583,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| ~ v4_group_1(sK38)
| u1_struct_0(sK32(sK37,sK38,X0,X1)) = k2_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f57581,f44032]) ).
fof(f57585,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| u1_struct_0(sK32(sK37,sK38,X0,X1)) = k2_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f57583,f44031]) ).
fof(f57587,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ v1_funct_2(X0,k2_pre_topc(sK37),u1_struct_0(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| u1_struct_0(sK32(sK37,sK38,X0,X1)) = k2_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,u1_struct_0(X1)) ),
inference(forward_demodulation,[],[f57585,f54373]) ).
fof(f57589,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK37,sK38)
| u1_struct_0(sK32(sK37,sK38,X0,X1)) = k2_funct_2(k2_pre_topc(sK37),u1_struct_0(sK38),X0,u1_struct_0(X1)) ),
inference(forward_demodulation,[],[f57587,f54373]) ).
fof(f57591,plain,
! [X0,X1] :
( ~ v1_group_6(X0,sK37,sK38)
| ~ v1_funct_2(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m2_relset_1(X0,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_group_2(X1,sK37)
| ~ v1_funct_1(X0)
| u1_struct_0(sK32(sK37,sK38,X0,X1)) = k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),X0,u1_struct_0(X1)) ),
inference(forward_demodulation,[],[f57589,f54373]) ).
fof(f57601,plain,
! [X0] :
( ~ v1_funct_2(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(sK39)
| k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,sK38,sK39,X0)) ),
inference(resolution,[],[f57591,f44035]) ).
fof(f57602,plain,
! [X0] :
( ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38))
| ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(sK39)
| k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,sK38,sK39,X0)) ),
inference(forward_subsumption_resolution,[],[f57601,f54382]) ).
fof(f57603,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| ~ v1_funct_1(sK39)
| k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,sK38,sK39,X0)) ),
inference(forward_subsumption_resolution,[],[f57602,f54383]) ).
fof(f57604,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(X0)) = u1_struct_0(sK32(sK37,sK38,sK39,X0)) ),
inference(forward_subsumption_resolution,[],[f57603,f44037]) ).
fof(f57605,plain,
k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,u1_struct_0(k5_group_2(sK37))) = u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))),
inference(resolution,[],[f57604,f54528]) ).
fof(f57896,plain,
( ! [X0] : ~ r2_hidden(X0,k2_pre_topc(sK38))
| ~ spl1150_130 ),
inference(resolution,[],[f56063,f44233]) ).
fof(f58368,plain,
( ! [X0] : r1_tarski(k2_pre_topc(sK38),X0)
| ~ spl1150_130 ),
inference(resolution,[],[f57896,f44545]) ).
fof(f58396,plain,
! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sK39))
| k2_tarski(k1_funct_1(sK39,X0),k1_funct_1(sK39,X0)) = k9_relat_1(sK39,k2_tarski(X0,X0))
| ~ v1_funct_1(sK39) ),
inference(resolution,[],[f52188,f54471]) ).
fof(f58399,plain,
! [X0] :
( ~ r2_hidden(X0,k1_relat_1(sK39))
| k2_tarski(k1_funct_1(sK39,X0),k1_funct_1(sK39,X0)) = k9_relat_1(sK39,k2_tarski(X0,X0)) ),
inference(forward_subsumption_resolution,[],[f58396,f44037]) ).
fof(f58400,plain,
! [X0] :
( ~ r2_hidden(X0,k2_pre_topc(sK37))
| k2_tarski(k1_funct_1(sK39,X0),k1_funct_1(sK39,X0)) = k9_relat_1(sK39,k2_tarski(X0,X0)) ),
inference(forward_demodulation,[],[f58399,f55237]) ).
fof(f58412,plain,
r1_tarski(u1_struct_0(k5_group_2(sK37)),k2_pre_topc(sK37)),
inference(resolution,[],[f44527,f57252]) ).
fof(f58415,plain,
r1_tarski(u1_struct_0(k5_group_2(sK38)),k2_pre_topc(sK38)),
inference(resolution,[],[f44527,f57264]) ).
fof(f58425,plain,
( ~ r1_tarski(k2_pre_topc(sK37),u1_struct_0(k5_group_2(sK37)))
| k2_pre_topc(sK37) = u1_struct_0(k5_group_2(sK37)) ),
inference(resolution,[],[f58412,f44542]) ).
fof(f58426,plain,
( k2_pre_topc(sK37) = u1_struct_0(k5_group_2(sK37))
| ~ spl1150_78 ),
inference(forward_subsumption_resolution,[],[f58425,f57547]) ).
fof(f58437,plain,
( ~ v1_xboole_0(k2_pre_topc(sK37))
| v3_struct_0(k5_group_2(sK37))
| ~ l1_struct_0(k5_group_2(sK37))
| ~ spl1150_78 ),
inference(superposition,[],[f47594,f58426]) ).
fof(f58438,plain,
( v3_struct_0(k5_group_2(sK37))
| ~ l1_struct_0(k5_group_2(sK37))
| ~ spl1150_78 ),
inference(forward_subsumption_resolution,[],[f58437,f54756]) ).
fof(f58441,definition,
( spl1150_254
<=> l1_struct_0(k5_group_2(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_254])],[avatar_definition]) ).
fof(f58442,plain,
( ~ l1_struct_0(k5_group_2(sK37))
| spl1150_254 ),
inference(avatar_component_clause,[],[f58441]) ).
fof(f58443,plain,
( ~ spl1150_254
| spl1150_55
| ~ spl1150_78 ),
inference(avatar_split_clause,[],[f58438,f54755,f54457,f58441]) ).
fof(f58444,plain,
( ~ l1_group_1(k5_group_2(sK37))
| spl1150_254 ),
inference(resolution,[],[f58442,f47583]) ).
fof(f58462,plain,
( ~ r1_tarski(k2_pre_topc(sK38),u1_struct_0(k5_group_2(sK38)))
| k2_pre_topc(sK38) = u1_struct_0(k5_group_2(sK38)) ),
inference(resolution,[],[f58415,f44542]) ).
fof(f58463,plain,
( k2_pre_topc(sK38) = u1_struct_0(k5_group_2(sK38))
| ~ spl1150_130 ),
inference(forward_subsumption_resolution,[],[f58462,f58368]) ).
fof(f58473,plain,
( ~ v1_xboole_0(k2_pre_topc(sK38))
| v3_struct_0(k5_group_2(sK38))
| ~ l1_struct_0(k5_group_2(sK38))
| ~ spl1150_130 ),
inference(superposition,[],[f47594,f58463]) ).
fof(f58474,plain,
( v3_struct_0(k5_group_2(sK38))
| ~ l1_struct_0(k5_group_2(sK38))
| ~ spl1150_130 ),
inference(forward_subsumption_resolution,[],[f58473,f56063]) ).
fof(f58476,definition,
( spl1150_257
<=> l1_struct_0(k5_group_2(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_257])],[avatar_definition]) ).
fof(f58477,plain,
( ~ l1_struct_0(k5_group_2(sK38))
| spl1150_257 ),
inference(avatar_component_clause,[],[f58476]) ).
fof(f58478,plain,
( ~ spl1150_257
| spl1150_49
| ~ spl1150_130 ),
inference(avatar_split_clause,[],[f58474,f56062,f54431,f58476]) ).
fof(f58479,plain,
( ~ l1_group_1(k5_group_2(sK38))
| spl1150_257 ),
inference(resolution,[],[f58477,f47583]) ).
fof(f58654,plain,
( $false
| spl1150_46 ),
inference(unit_resulting_resolution,[],[f44084,f44033,f44032,f54423,f54513,f44030]) ).
fof(f58655,plain,
( $false
| spl1150_52 ),
inference(unit_resulting_resolution,[],[f44084,f44029,f44028,f54449,f54528,f44026]) ).
fof(f58658,plain,
! [X0] :
( ~ m1_group_2(X0,sK38)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| l1_group_1(X0) ),
inference(resolution,[],[f44084,f44030]) ).
fof(f58659,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| l1_group_1(X0) ),
inference(resolution,[],[f44084,f44026]) ).
fof(f58660,plain,
spl1150_46,
inference(avatar_contradiction_clause,[],[f58654]) ).
fof(f58661,plain,
spl1150_52,
inference(avatar_contradiction_clause,[],[f58655]) ).
fof(f58664,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| ~ v3_group_1(sK37)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f58659,f44029]) ).
fof(f58665,plain,
! [X0] :
( ~ m1_group_2(X0,sK38)
| ~ v3_group_1(sK38)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f58658,f44033]) ).
fof(f58666,plain,
! [X0] :
( ~ m1_group_2(X0,sK37)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f58664,f44028]) ).
fof(f58667,plain,
! [X0] :
( ~ m1_group_2(X0,sK38)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f58665,f44032]) ).
fof(f58685,definition,
( spl1150_272
<=> m1_subset_1(k2_group_1(k5_group_2(sK37)),k2_pre_topc(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_272])],[avatar_definition]) ).
fof(f58686,plain,
( m1_subset_1(k2_group_1(k5_group_2(sK37)),k2_pre_topc(sK37))
| ~ spl1150_272 ),
inference(avatar_component_clause,[],[f58685]) ).
fof(f58687,plain,
( ~ spl1150_52
| spl1150_55
| spl1150_272 ),
inference(avatar_split_clause,[],[f54656,f58685,f54457,f54448]) ).
fof(f58693,plain,
( ~ spl1150_52
| spl1150_254 ),
inference(avatar_split_clause,[],[f58444,f58441,f54448]) ).
fof(f58695,definition,
( spl1150_274
<=> m1_subset_1(k2_group_1(k5_group_2(sK38)),k2_pre_topc(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_274])],[avatar_definition]) ).
fof(f58696,plain,
( m1_subset_1(k2_group_1(k5_group_2(sK38)),k2_pre_topc(sK38))
| ~ spl1150_274 ),
inference(avatar_component_clause,[],[f58695]) ).
fof(f58697,plain,
( ~ spl1150_46
| spl1150_49
| spl1150_274 ),
inference(avatar_split_clause,[],[f54657,f58695,f54431,f54422]) ).
fof(f58703,plain,
( ~ spl1150_46
| spl1150_257 ),
inference(avatar_split_clause,[],[f58479,f58476,f54422]) ).
fof(f58706,plain,
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ spl1150_49 ),
inference(resolution,[],[f54432,f44585]) ).
fof(f58710,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ spl1150_49 ),
inference(forward_subsumption_resolution,[],[f58706,f44033]) ).
fof(f58711,plain,
( ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ spl1150_49 ),
inference(forward_subsumption_resolution,[],[f58710,f44032]) ).
fof(f58712,plain,
( ~ l1_group_1(sK38)
| ~ spl1150_49 ),
inference(forward_subsumption_resolution,[],[f58711,f44031]) ).
fof(f58713,plain,
( $false
| ~ spl1150_49 ),
inference(forward_subsumption_resolution,[],[f58712,f44030]) ).
fof(f58714,plain,
~ spl1150_49,
inference(avatar_contradiction_clause,[],[f58713]) ).
fof(f58726,plain,
( v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| ~ spl1150_55 ),
inference(resolution,[],[f54458,f44585]) ).
fof(f58730,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| ~ spl1150_55 ),
inference(forward_subsumption_resolution,[],[f58726,f44029]) ).
fof(f58731,plain,
( ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| ~ spl1150_55 ),
inference(forward_subsumption_resolution,[],[f58730,f44028]) ).
fof(f58732,plain,
( ~ l1_group_1(sK37)
| ~ spl1150_55 ),
inference(forward_subsumption_resolution,[],[f58731,f44027]) ).
fof(f58733,plain,
( $false
| ~ spl1150_55 ),
inference(forward_subsumption_resolution,[],[f58732,f44026]) ).
fof(f58734,plain,
~ spl1150_55,
inference(avatar_contradiction_clause,[],[f58733]) ).
fof(f58748,plain,
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_47 ),
inference(resolution,[],[f54426,f44581]) ).
fof(f58750,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_47 ),
inference(forward_subsumption_resolution,[],[f58748,f44033]) ).
fof(f58751,plain,
( ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_47 ),
inference(forward_subsumption_resolution,[],[f58750,f44032]) ).
fof(f58752,plain,
( ~ l1_group_1(sK38)
| spl1150_47 ),
inference(forward_subsumption_resolution,[],[f58751,f44031]) ).
fof(f58753,plain,
( $false
| spl1150_47 ),
inference(forward_subsumption_resolution,[],[f58752,f44030]) ).
fof(f58754,plain,
spl1150_47,
inference(avatar_contradiction_clause,[],[f58753]) ).
fof(f58756,plain,
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_48 ),
inference(resolution,[],[f54429,f44582]) ).
fof(f58758,plain,
( ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_48 ),
inference(forward_subsumption_resolution,[],[f58756,f44033]) ).
fof(f58759,plain,
( ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| spl1150_48 ),
inference(forward_subsumption_resolution,[],[f58758,f44032]) ).
fof(f58760,plain,
( ~ l1_group_1(sK38)
| spl1150_48 ),
inference(forward_subsumption_resolution,[],[f58759,f44031]) ).
fof(f58761,plain,
( $false
| spl1150_48 ),
inference(forward_subsumption_resolution,[],[f58760,f44030]) ).
fof(f58762,plain,
spl1150_48,
inference(avatar_contradiction_clause,[],[f58761]) ).
fof(f58765,plain,
( r1_rlvect_1(k5_group_2(sK38),k2_group_1(k5_group_2(sK38)))
| ~ v3_group_1(k5_group_2(sK38))
| ~ v4_group_1(k5_group_2(sK38))
| ~ l1_group_1(k5_group_2(sK38))
| spl1150_49 ),
inference(forward_subsumption_resolution,[],[f54557,f56736]) ).
fof(f58770,plain,
( r1_rlvect_1(k5_group_2(sK38),k2_group_1(k5_group_2(sK38)))
| ~ v4_group_1(k5_group_2(sK38))
| ~ l1_group_1(k5_group_2(sK38))
| ~ spl1150_48
| spl1150_49 ),
inference(forward_subsumption_resolution,[],[f58765,f56742]) ).
fof(f58775,plain,
( r1_rlvect_1(k5_group_2(sK38),k2_group_1(k5_group_2(sK38)))
| ~ l1_group_1(k5_group_2(sK38))
| ~ spl1150_47
| ~ spl1150_48
| spl1150_49 ),
inference(forward_subsumption_resolution,[],[f58770,f56744]) ).
fof(f58784,definition,
( spl1150_282
<=> r1_rlvect_1(k5_group_2(sK38),k2_group_1(k5_group_2(sK38))) ),
introduced(definition,[new_symbols(definition,[spl1150_282])],[avatar_definition]) ).
fof(f58785,plain,
( r1_rlvect_1(k5_group_2(sK38),k2_group_1(k5_group_2(sK38)))
| ~ spl1150_282 ),
inference(avatar_component_clause,[],[f58784]) ).
fof(f58786,plain,
( ~ spl1150_46
| spl1150_282
| ~ spl1150_47
| ~ spl1150_48
| spl1150_49 ),
inference(avatar_split_clause,[],[f58775,f54431,f54428,f54425,f58784,f54422]) ).
fof(f58793,plain,
( v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_54 ),
inference(resolution,[],[f54455,f44582]) ).
fof(f58795,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_54 ),
inference(forward_subsumption_resolution,[],[f58793,f44029]) ).
fof(f58796,plain,
( ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_54 ),
inference(forward_subsumption_resolution,[],[f58795,f44028]) ).
fof(f58797,plain,
( ~ l1_group_1(sK37)
| spl1150_54 ),
inference(forward_subsumption_resolution,[],[f58796,f44027]) ).
fof(f58798,plain,
( $false
| spl1150_54 ),
inference(forward_subsumption_resolution,[],[f58797,f44026]) ).
fof(f58799,plain,
spl1150_54,
inference(avatar_contradiction_clause,[],[f58798]) ).
fof(f58801,plain,
( v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_53 ),
inference(resolution,[],[f54452,f44581]) ).
fof(f58803,plain,
( ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_53 ),
inference(forward_subsumption_resolution,[],[f58801,f44029]) ).
fof(f58804,plain,
( ~ v4_group_1(sK37)
| ~ l1_group_1(sK37)
| spl1150_53 ),
inference(forward_subsumption_resolution,[],[f58803,f44028]) ).
fof(f58805,plain,
( ~ l1_group_1(sK37)
| spl1150_53 ),
inference(forward_subsumption_resolution,[],[f58804,f44027]) ).
fof(f58806,plain,
( $false
| spl1150_53 ),
inference(forward_subsumption_resolution,[],[f58805,f44026]) ).
fof(f58807,plain,
spl1150_53,
inference(avatar_contradiction_clause,[],[f58806]) ).
fof(f58810,plain,
( r1_rlvect_1(k5_group_2(sK37),k2_group_1(k5_group_2(sK37)))
| ~ v3_group_1(k5_group_2(sK37))
| ~ v4_group_1(k5_group_2(sK37))
| ~ l1_group_1(k5_group_2(sK37))
| spl1150_55 ),
inference(forward_subsumption_resolution,[],[f54558,f56302]) ).
fof(f58815,plain,
( r1_rlvect_1(k5_group_2(sK37),k2_group_1(k5_group_2(sK37)))
| ~ v4_group_1(k5_group_2(sK37))
| ~ l1_group_1(k5_group_2(sK37))
| ~ spl1150_54
| spl1150_55 ),
inference(forward_subsumption_resolution,[],[f58810,f56308]) ).
fof(f58820,plain,
( r1_rlvect_1(k5_group_2(sK37),k2_group_1(k5_group_2(sK37)))
| ~ l1_group_1(k5_group_2(sK37))
| ~ spl1150_53
| ~ spl1150_54
| spl1150_55 ),
inference(forward_subsumption_resolution,[],[f58815,f56310]) ).
fof(f58829,definition,
( spl1150_285
<=> r1_rlvect_1(k5_group_2(sK37),k2_group_1(k5_group_2(sK37))) ),
introduced(definition,[new_symbols(definition,[spl1150_285])],[avatar_definition]) ).
fof(f58830,plain,
( r1_rlvect_1(k5_group_2(sK37),k2_group_1(k5_group_2(sK37)))
| ~ spl1150_285 ),
inference(avatar_component_clause,[],[f58829]) ).
fof(f58831,plain,
( ~ spl1150_52
| spl1150_285
| ~ spl1150_53
| ~ spl1150_54
| spl1150_55 ),
inference(avatar_split_clause,[],[f58820,f54457,f54454,f54451,f58829,f54448]) ).
fof(f58849,plain,
! [X0] :
( k2_tarski(k1_funct_1(sK39,X0),k1_funct_1(sK39,X0)) = k9_relat_1(sK39,k2_tarski(X0,X0))
| ~ m1_subset_1(X0,k2_pre_topc(sK37))
| v1_xboole_0(k2_pre_topc(sK37)) ),
inference(resolution,[],[f58400,f44231]) ).
fof(f58852,definition,
( spl1150_288
<=> ! [X0] :
( k2_tarski(k1_funct_1(sK39,X0),k1_funct_1(sK39,X0)) = k9_relat_1(sK39,k2_tarski(X0,X0))
| ~ m1_subset_1(X0,k2_pre_topc(sK37)) ) ),
introduced(definition,[new_symbols(definition,[spl1150_288])],[avatar_definition]) ).
fof(f58853,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK37))
| k2_tarski(k1_funct_1(sK39,X0),k1_funct_1(sK39,X0)) = k9_relat_1(sK39,k2_tarski(X0,X0)) )
| ~ spl1150_288 ),
inference(avatar_component_clause,[],[f58852]) ).
fof(f58854,plain,
( spl1150_78
| spl1150_288 ),
inference(avatar_split_clause,[],[f58849,f58852,f54755]) ).
fof(f58855,plain,
l1_group_1(k5_group_2(sK37)),
inference(resolution,[],[f58666,f54528]) ).
fof(f58911,plain,
u1_struct_0(k5_group_2(sK37)) = k2_pre_topc(k5_group_2(sK37)),
inference(resolution,[],[f58855,f54372]) ).
fof(f59387,plain,
u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))) = k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,k2_pre_topc(k5_group_2(sK37))),
inference(superposition,[],[f57605,f58911]) ).
fof(f59436,plain,
l1_group_1(k5_group_2(sK38)),
inference(resolution,[],[f58667,f54513]) ).
fof(f59508,plain,
u1_struct_0(k5_group_2(sK38)) = k2_pre_topc(k5_group_2(sK38)),
inference(resolution,[],[f59436,f54372]) ).
fof(f59984,plain,
m1_subset_1(k2_pre_topc(k5_group_2(sK38)),k1_zfmisc_1(k2_pre_topc(sK38))),
inference(superposition,[],[f57264,f59508]) ).
fof(f60612,plain,
v1_group_1(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))),
inference(resolution,[],[f59984,f54701]) ).
fof(f61303,plain,
! [X0] :
( ~ r1_rlvect_1(k5_group_2(sK38),X0)
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| k2_group_1(sK38) = X0
| ~ l1_group_1(sK38) ),
inference(resolution,[],[f44586,f44031]) ).
fof(f61304,plain,
! [X0] :
( ~ r1_rlvect_1(k5_group_2(sK37),X0)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| k2_group_1(sK37) = X0
| ~ l1_group_1(sK37) ),
inference(resolution,[],[f44586,f44027]) ).
fof(f61311,plain,
! [X0] :
( ~ r1_rlvect_1(k5_group_2(sK37),X0)
| ~ v3_group_1(sK37)
| k2_group_1(sK37) = X0
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f61304,f44029]) ).
fof(f61312,plain,
! [X0] :
( ~ r1_rlvect_1(k5_group_2(sK38),X0)
| ~ v3_group_1(sK38)
| k2_group_1(sK38) = X0
| ~ l1_group_1(sK38) ),
inference(forward_subsumption_resolution,[],[f61303,f44033]) ).
fof(f61316,plain,
! [X0] :
( ~ r1_rlvect_1(k5_group_2(sK37),X0)
| k2_group_1(sK37) = X0
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f61311,f44028]) ).
fof(f61317,plain,
! [X0] :
( ~ r1_rlvect_1(k5_group_2(sK38),X0)
| k2_group_1(sK38) = X0
| ~ l1_group_1(sK38) ),
inference(forward_subsumption_resolution,[],[f61312,f44032]) ).
fof(f61320,plain,
! [X0] :
( ~ r1_rlvect_1(k5_group_2(sK37),X0)
| k2_group_1(sK37) = X0 ),
inference(forward_subsumption_resolution,[],[f61316,f44026]) ).
fof(f61321,plain,
! [X0] :
( ~ r1_rlvect_1(k5_group_2(sK38),X0)
| k2_group_1(sK38) = X0 ),
inference(forward_subsumption_resolution,[],[f61317,f44030]) ).
fof(f61325,plain,
( k2_group_1(sK38) = k2_group_1(k5_group_2(sK38))
| ~ spl1150_282 ),
inference(resolution,[],[f61321,f58785]) ).
fof(f61327,plain,
( k2_group_1(sK37) = k2_group_1(k5_group_2(sK37))
| ~ spl1150_285 ),
inference(resolution,[],[f61320,f58830]) ).
fof(f61476,plain,
! [X0] :
( v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| m1_group_2(k5_group_4(sK38,X0),sK38)
| ~ l1_group_1(sK38)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK38))) ),
inference(resolution,[],[f44264,f44031]) ).
fof(f61485,plain,
! [X0] :
( ~ v3_group_1(sK38)
| m1_group_2(k5_group_4(sK38,X0),sK38)
| ~ l1_group_1(sK38)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK38))) ),
inference(forward_subsumption_resolution,[],[f61476,f44033]) ).
fof(f61490,plain,
! [X0] :
( m1_group_2(k5_group_4(sK38,X0),sK38)
| ~ l1_group_1(sK38)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK38))) ),
inference(forward_subsumption_resolution,[],[f61485,f44032]) ).
fof(f61494,plain,
! [X0] :
( m1_group_2(k5_group_4(sK38,X0),sK38)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK38))) ),
inference(forward_subsumption_resolution,[],[f61490,f44030]) ).
fof(f61498,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK38)))
| m1_group_2(k5_group_4(sK38,X0),sK38) ),
inference(forward_demodulation,[],[f61494,f54373]) ).
fof(f61513,plain,
m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38),
inference(resolution,[],[f61498,f59984]) ).
fof(f62198,plain,
( k2_tarski(k1_funct_1(sK39,k2_group_1(sK37)),k1_funct_1(sK39,k2_group_1(sK37))) = k9_relat_1(sK39,k2_tarski(k2_group_1(sK37),k2_group_1(sK37)))
| ~ spl1150_288 ),
inference(resolution,[],[f58853,f54547]) ).
fof(f62205,plain,
( k2_tarski(k2_group_1(sK38),k2_group_1(sK38)) = k9_relat_1(sK39,k2_tarski(k2_group_1(sK37),k2_group_1(sK37)))
| ~ spl1150_77
| ~ spl1150_288 ),
inference(forward_demodulation,[],[f62198,f55782]) ).
fof(f62717,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK38)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK38)))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| r1_group_2(sK38,k5_group_4(sK38,u1_struct_0(X0)),X0)
| ~ l1_group_1(sK38) ),
inference(resolution,[],[f53061,f44031]) ).
fof(f62726,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK38)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK38)))
| ~ v3_group_1(sK38)
| r1_group_2(sK38,k5_group_4(sK38,u1_struct_0(X0)),X0)
| ~ l1_group_1(sK38) ),
inference(forward_subsumption_resolution,[],[f62717,f44033]) ).
fof(f62731,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK38)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK38)))
| r1_group_2(sK38,k5_group_4(sK38,u1_struct_0(X0)),X0)
| ~ l1_group_1(sK38) ),
inference(forward_subsumption_resolution,[],[f62726,f44032]) ).
fof(f62735,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK38)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK38)))
| r1_group_2(sK38,k5_group_4(sK38,u1_struct_0(X0)),X0) ),
inference(forward_subsumption_resolution,[],[f62731,f44030]) ).
fof(f62739,plain,
! [X0] :
( r1_group_2(sK38,k5_group_4(sK38,u1_struct_0(X0)),X0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK38)
| ~ m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(k2_pre_topc(sK38))) ),
inference(forward_demodulation,[],[f62735,f54373]) ).
fof(f62803,plain,
( r1_group_2(sK38,k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),k5_group_2(sK38))
| ~ v1_group_1(k5_group_2(sK38))
| ~ m1_group_2(k5_group_2(sK38),sK38)
| ~ m1_subset_1(k2_pre_topc(k5_group_2(sK38)),k1_zfmisc_1(k2_pre_topc(sK38))) ),
inference(superposition,[],[f62739,f59508]) ).
fof(f62811,plain,
( r1_group_2(sK38,k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),k5_group_2(sK38))
| ~ m1_group_2(k5_group_2(sK38),sK38)
| ~ m1_subset_1(k2_pre_topc(k5_group_2(sK38)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62803,f54439]) ).
fof(f62813,plain,
( r1_group_2(sK38,k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),k5_group_2(sK38))
| ~ m1_subset_1(k2_pre_topc(k5_group_2(sK38)),k1_zfmisc_1(k2_pre_topc(sK38)))
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62811,f54513]) ).
fof(f62815,plain,
( r1_group_2(sK38,k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),k5_group_2(sK38))
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62813,f59984]) ).
fof(f62820,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_group_1(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))))
| ~ m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38)
| ~ v1_group_1(k5_group_2(sK38))
| ~ m1_group_2(k5_group_2(sK38),sK38)
| ~ spl1150_51 ),
inference(resolution,[],[f62815,f44239]) ).
fof(f62821,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_group_1(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))))
| ~ m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38)
| ~ m1_group_2(k5_group_2(sK38),sK38)
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62820,f44590]) ).
fof(f62822,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| v3_struct_0(sK38)
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_group_1(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))))
| ~ m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38)
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62821,f44589]) ).
fof(f62823,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| ~ v3_group_1(sK38)
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_group_1(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))))
| ~ m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38)
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62822,f44033]) ).
fof(f62824,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| ~ v4_group_1(sK38)
| ~ l1_group_1(sK38)
| ~ v1_group_1(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))))
| ~ m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38)
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62823,f44032]) ).
fof(f62825,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| ~ l1_group_1(sK38)
| ~ v1_group_1(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))))
| ~ m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38)
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62824,f44031]) ).
fof(f62826,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| ~ v1_group_1(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))))
| ~ m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38)
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62825,f44030]) ).
fof(f62827,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| ~ m1_group_2(k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38))),sK38)
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62826,f60612]) ).
fof(f62828,plain,
( k5_group_2(sK38) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| ~ spl1150_51 ),
inference(forward_subsumption_resolution,[],[f62827,f61513]) ).
fof(f63529,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(sK39,X0,X1)
| k9_relat_1(sK39,X2) = k2_funct_2(X0,X1,sK39,X2)
| ~ m2_relset_1(sK39,X0,X1) ),
inference(resolution,[],[f55792,f44037]) ).
fof(f63547,plain,
! [X0] :
( k9_relat_1(sK39,X0) = k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,X0)
| ~ m2_relset_1(sK39,k2_pre_topc(sK37),k2_pre_topc(sK38)) ),
inference(resolution,[],[f63529,f54382]) ).
fof(f63548,plain,
! [X0] : k9_relat_1(sK39,X0) = k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,X0),
inference(forward_subsumption_resolution,[],[f63547,f54383]) ).
fof(f63556,plain,
u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))) = k9_relat_1(sK39,k2_pre_topc(k5_group_2(sK37))),
inference(superposition,[],[f59387,f63548]) ).
fof(f64223,definition,
( spl1150_724
<=> k2_pre_topc(k5_group_2(sK38)) = k9_relat_1(sK39,k2_pre_topc(k5_group_2(sK37))) ),
introduced(definition,[new_symbols(definition,[spl1150_724])],[avatar_definition]) ).
fof(f64224,plain,
( k2_pre_topc(k5_group_2(sK38)) != k9_relat_1(sK39,k2_pre_topc(k5_group_2(sK37)))
| spl1150_724 ),
inference(avatar_component_clause,[],[f64223]) ).
fof(f64580,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| k1_struct_0(X0,X1) = k2_tarski(X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f52070,f47583]) ).
fof(f64585,plain,
! [X0] :
( k2_tarski(X0,X0) = k1_struct_0(sK37,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK37))
| v3_struct_0(sK37) ),
inference(resolution,[],[f64580,f44026]) ).
fof(f64586,plain,
! [X0] :
( k2_tarski(X0,X0) = k1_struct_0(sK38,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK38))
| v3_struct_0(sK38) ),
inference(resolution,[],[f64580,f44030]) ).
fof(f64589,plain,
! [X0] :
( k2_tarski(X0,X0) = k1_struct_0(sK38,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK38)) ),
inference(forward_subsumption_resolution,[],[f64586,f44033]) ).
fof(f64590,plain,
! [X0] :
( k2_tarski(X0,X0) = k1_struct_0(sK37,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK37)) ),
inference(forward_subsumption_resolution,[],[f64585,f44029]) ).
fof(f64595,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK38))
| k2_tarski(X0,X0) = k1_struct_0(sK38,X0) ),
inference(forward_demodulation,[],[f64589,f54373]) ).
fof(f64596,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK37))
| k2_tarski(X0,X0) = k1_struct_0(sK37,X0) ),
inference(forward_demodulation,[],[f64590,f54374]) ).
fof(f64608,plain,
k2_tarski(k2_group_1(sK38),k2_group_1(sK38)) = k1_struct_0(sK38,k2_group_1(sK38)),
inference(resolution,[],[f64595,f54548]) ).
fof(f64620,plain,
k2_tarski(k2_group_1(sK37),k2_group_1(sK37)) = k1_struct_0(sK37,k2_group_1(sK37)),
inference(resolution,[],[f64596,f54547]) ).
fof(f69642,plain,
( v1_xboole_0(k2_pre_topc(sK37))
| k2_tarski(k2_group_1(k5_group_2(sK37)),k2_group_1(k5_group_2(sK37))) = k6_domain_1(k2_pre_topc(sK37),k2_group_1(k5_group_2(sK37)))
| ~ spl1150_272 ),
inference(resolution,[],[f52074,f58686]) ).
fof(f69643,plain,
( v1_xboole_0(k2_pre_topc(sK38))
| k2_tarski(k2_group_1(k5_group_2(sK38)),k2_group_1(k5_group_2(sK38))) = k6_domain_1(k2_pre_topc(sK38),k2_group_1(k5_group_2(sK38)))
| ~ spl1150_274 ),
inference(resolution,[],[f52074,f58696]) ).
fof(f69693,plain,
( k6_domain_1(k2_pre_topc(sK38),k2_group_1(sK38)) = k2_tarski(k2_group_1(sK38),k2_group_1(sK38))
| v1_xboole_0(k2_pre_topc(sK38))
| ~ spl1150_274
| ~ spl1150_282 ),
inference(forward_demodulation,[],[f69643,f61325]) ).
fof(f69694,plain,
( k6_domain_1(k2_pre_topc(sK37),k2_group_1(sK37)) = k2_tarski(k2_group_1(sK37),k2_group_1(sK37))
| v1_xboole_0(k2_pre_topc(sK37))
| ~ spl1150_272
| ~ spl1150_285 ),
inference(forward_demodulation,[],[f69642,f61327]) ).
fof(f69733,plain,
( k6_domain_1(k2_pre_topc(sK38),k2_group_1(sK38)) = k1_struct_0(sK38,k2_group_1(sK38))
| v1_xboole_0(k2_pre_topc(sK38))
| ~ spl1150_274
| ~ spl1150_282 ),
inference(forward_demodulation,[],[f69693,f64608]) ).
fof(f69734,plain,
( k6_domain_1(k2_pre_topc(sK37),k2_group_1(sK37)) = k1_struct_0(sK37,k2_group_1(sK37))
| v1_xboole_0(k2_pre_topc(sK37))
| ~ spl1150_272
| ~ spl1150_285 ),
inference(forward_demodulation,[],[f69694,f64620]) ).
fof(f69750,plain,
( u1_struct_0(k5_group_2(sK38)) = k1_struct_0(sK38,k2_group_1(sK38))
| v1_xboole_0(k2_pre_topc(sK38))
| ~ spl1150_114
| ~ spl1150_274
| ~ spl1150_282 ),
inference(forward_demodulation,[],[f69733,f55487]) ).
fof(f69751,plain,
( u1_struct_0(k5_group_2(sK37)) = k1_struct_0(sK37,k2_group_1(sK37))
| v1_xboole_0(k2_pre_topc(sK37))
| ~ spl1150_113
| ~ spl1150_272
| ~ spl1150_285 ),
inference(forward_demodulation,[],[f69734,f55482]) ).
fof(f69764,plain,
( k2_pre_topc(k5_group_2(sK38)) = k1_struct_0(sK38,k2_group_1(sK38))
| v1_xboole_0(k2_pre_topc(sK38))
| ~ spl1150_114
| ~ spl1150_274
| ~ spl1150_282 ),
inference(forward_demodulation,[],[f69750,f59508]) ).
fof(f69765,plain,
( k2_pre_topc(k5_group_2(sK37)) = k1_struct_0(sK37,k2_group_1(sK37))
| v1_xboole_0(k2_pre_topc(sK37))
| ~ spl1150_113
| ~ spl1150_272
| ~ spl1150_285 ),
inference(forward_demodulation,[],[f69751,f58911]) ).
fof(f69767,definition,
( spl1150_1284
<=> k2_pre_topc(k5_group_2(sK38)) = k1_struct_0(sK38,k2_group_1(sK38)) ),
introduced(definition,[new_symbols(definition,[spl1150_1284])],[avatar_definition]) ).
fof(f69768,plain,
( k2_pre_topc(k5_group_2(sK38)) = k1_struct_0(sK38,k2_group_1(sK38))
| ~ spl1150_1284 ),
inference(avatar_component_clause,[],[f69767]) ).
fof(f69771,definition,
( spl1150_1285
<=> k2_pre_topc(k5_group_2(sK37)) = k1_struct_0(sK37,k2_group_1(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1150_1285])],[avatar_definition]) ).
fof(f69772,plain,
( k2_pre_topc(k5_group_2(sK37)) = k1_struct_0(sK37,k2_group_1(sK37))
| ~ spl1150_1285 ),
inference(avatar_component_clause,[],[f69771]) ).
fof(f69774,plain,
( spl1150_130
| spl1150_1284
| ~ spl1150_114
| ~ spl1150_274
| ~ spl1150_282 ),
inference(avatar_split_clause,[],[f69764,f58784,f58695,f55486,f69767,f56062]) ).
fof(f69775,plain,
( spl1150_78
| spl1150_1285
| ~ spl1150_113
| ~ spl1150_272
| ~ spl1150_285 ),
inference(avatar_split_clause,[],[f69765,f58829,f58685,f55481,f69771,f54755]) ).
fof(f69841,plain,
( k2_pre_topc(k5_group_2(sK38)) = k9_relat_1(sK39,k2_pre_topc(k5_group_2(sK37)))
| ~ spl1150_724 ),
inference(avatar_component_clause,[],[f64223]) ).
fof(f70091,plain,
( k2_tarski(k2_group_1(sK38),k2_group_1(sK38)) = k9_relat_1(sK39,k1_struct_0(sK37,k2_group_1(sK37)))
| ~ spl1150_77
| ~ spl1150_288 ),
inference(superposition,[],[f62205,f64620]) ).
fof(f71886,plain,
( ~ m1_subset_1(k2_funct_2(k2_pre_topc(sK37),k2_pre_topc(sK38),sK39,k2_pre_topc(k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| spl1150_108 ),
inference(superposition,[],[f55366,f58911]) ).
fof(f71893,plain,
( ~ m1_subset_1(u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))),k1_zfmisc_1(k2_pre_topc(sK38)))
| spl1150_108 ),
inference(forward_demodulation,[],[f71886,f59387]) ).
fof(f71894,plain,
( $false
| spl1150_108 ),
inference(forward_subsumption_resolution,[],[f71893,f57262]) ).
fof(f71895,plain,
spl1150_108,
inference(avatar_contradiction_clause,[],[f71894]) ).
fof(f71896,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,u1_struct_0(sK32(sK37,sK38,sK39,k5_group_2(sK37))))
| ~ spl1150_109 ),
inference(forward_demodulation,[],[f55370,f57605]) ).
fof(f71897,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k9_relat_1(sK39,k2_pre_topc(k5_group_2(sK37))))
| ~ spl1150_109 ),
inference(forward_demodulation,[],[f71896,f63556]) ).
fof(f71898,plain,
( k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37)) = k5_group_4(sK38,k2_pre_topc(k5_group_2(sK38)))
| ~ spl1150_109
| ~ spl1150_724 ),
inference(forward_demodulation,[],[f71897,f69841]) ).
fof(f71899,plain,
( k5_group_2(sK38) = k1_funct_1(k3_latsubgr(sK37,sK38,sK39),k5_group_2(sK37))
| ~ spl1150_51
| ~ spl1150_109
| ~ spl1150_724 ),
inference(forward_demodulation,[],[f71898,f62828]) ).
fof(f71900,plain,
( $false
| ~ spl1150_51
| ~ spl1150_109
| ~ spl1150_724 ),
inference(forward_subsumption_resolution,[],[f71899,f44038]) ).
fof(f71901,plain,
( ~ spl1150_51
| ~ spl1150_109
| ~ spl1150_724 ),
inference(avatar_contradiction_clause,[],[f71900]) ).
fof(f79011,plain,
( k2_tarski(k2_group_1(sK38),k2_group_1(sK38)) = k9_relat_1(sK39,k2_pre_topc(k5_group_2(sK37)))
| ~ spl1150_77
| ~ spl1150_288
| ~ spl1150_1285 ),
inference(forward_demodulation,[],[f70091,f69772]) ).
fof(f79012,plain,
( k9_relat_1(sK39,k2_pre_topc(k5_group_2(sK37))) = k1_struct_0(sK38,k2_group_1(sK38))
| ~ spl1150_77
| ~ spl1150_288
| ~ spl1150_1285 ),
inference(forward_demodulation,[],[f79011,f64608]) ).
fof(f79013,plain,
( k2_pre_topc(k5_group_2(sK38)) = k9_relat_1(sK39,k2_pre_topc(k5_group_2(sK37)))
| ~ spl1150_77
| ~ spl1150_288
| ~ spl1150_1284
| ~ spl1150_1285 ),
inference(forward_demodulation,[],[f79012,f69768]) ).
fof(f79014,plain,
( $false
| ~ spl1150_77
| ~ spl1150_288
| spl1150_724
| ~ spl1150_1284
| ~ spl1150_1285 ),
inference(forward_subsumption_resolution,[],[f79013,f64224]) ).
fof(f79015,plain,
( ~ spl1150_77
| ~ spl1150_288
| spl1150_724
| ~ spl1150_1284
| ~ spl1150_1285 ),
inference(avatar_contradiction_clause,[],[f79014]) ).
cnf(s34,plain,
( ~ spl1150_44
| spl1150_45 ),
inference(sat_conversion,[],[f54365]) ).
cnf(s36,plain,
spl1150_44,
inference(sat_conversion,[],[f54370]) ).
cnf(s47,plain,
spl1150_71,
inference(sat_conversion,[],[f54684]) ).
cnf(s51,plain,
( spl1150_77
| spl1150_78 ),
inference(sat_conversion,[],[f54762]) ).
cnf(s59,plain,
( ~ spl1150_71
| spl1150_96 ),
inference(sat_conversion,[],[f54981]) ).
cnf(s63,plain,
( ~ spl1150_45
| ~ spl1150_96
| spl1150_106
| ~ spl1150_107 ),
inference(sat_conversion,[],[f55354]) ).
cnf(s64,plain,
( ~ spl1150_71
| spl1150_107 ),
inference(sat_conversion,[],[f55358]) ).
cnf(s67,plain,
( ~ spl1150_106
| ~ spl1150_108
| spl1150_109 ),
inference(sat_conversion,[],[f55387]) ).
cnf(s68,plain,
( ~ spl1150_57
| spl1150_113 ),
inference(sat_conversion,[],[f55483]) ).
cnf(s69,plain,
( ~ spl1150_51
| spl1150_114 ),
inference(sat_conversion,[],[f55488]) ).
cnf(s71,plain,
spl1150_51,
inference(sat_conversion,[],[f55496]) ).
cnf(s73,plain,
spl1150_57,
inference(sat_conversion,[],[f55504]) ).
cnf(s237,plain,
( spl1150_55
| ~ spl1150_78
| ~ spl1150_254 ),
inference(sat_conversion,[],[f58443]) ).
cnf(s239,plain,
( spl1150_49
| ~ spl1150_130
| ~ spl1150_257 ),
inference(sat_conversion,[],[f58478]) ).
cnf(s251,plain,
spl1150_46,
inference(sat_conversion,[],[f58660]) ).
cnf(s252,plain,
spl1150_52,
inference(sat_conversion,[],[f58661]) ).
cnf(s259,plain,
( ~ spl1150_52
| spl1150_55
| spl1150_272 ),
inference(sat_conversion,[],[f58687]) ).
cnf(s262,plain,
( ~ spl1150_52
| spl1150_254 ),
inference(sat_conversion,[],[f58693]) ).
cnf(s263,plain,
( ~ spl1150_46
| spl1150_49
| spl1150_274 ),
inference(sat_conversion,[],[f58697]) ).
cnf(s266,plain,
( ~ spl1150_46
| spl1150_257 ),
inference(sat_conversion,[],[f58703]) ).
cnf(s269,plain,
~ spl1150_49,
inference(sat_conversion,[],[f58714]) ).
cnf(s274,plain,
~ spl1150_55,
inference(sat_conversion,[],[f58734]) ).
cnf(s278,plain,
spl1150_47,
inference(sat_conversion,[],[f58754]) ).
cnf(s280,plain,
spl1150_48,
inference(sat_conversion,[],[f58762]) ).
cnf(s283,plain,
( ~ spl1150_46
| ~ spl1150_47
| ~ spl1150_48
| spl1150_49
| spl1150_282 ),
inference(sat_conversion,[],[f58786]) ).
cnf(s287,plain,
spl1150_54,
inference(sat_conversion,[],[f58799]) ).
cnf(s289,plain,
spl1150_53,
inference(sat_conversion,[],[f58807]) ).
cnf(s292,plain,
( ~ spl1150_52
| ~ spl1150_53
| ~ spl1150_54
| spl1150_55
| spl1150_285 ),
inference(sat_conversion,[],[f58831]) ).
cnf(s297,plain,
( spl1150_78
| spl1150_288 ),
inference(sat_conversion,[],[f58854]) ).
cnf(s1030,plain,
( ~ spl1150_114
| spl1150_130
| ~ spl1150_274
| ~ spl1150_282
| spl1150_1284 ),
inference(sat_conversion,[],[f69774]) ).
cnf(s1031,plain,
( spl1150_78
| ~ spl1150_113
| ~ spl1150_272
| ~ spl1150_285
| spl1150_1285 ),
inference(sat_conversion,[],[f69775]) ).
cnf(s1142,plain,
spl1150_108,
inference(sat_conversion,[],[f71895]) ).
cnf(s1143,plain,
( ~ spl1150_51
| ~ spl1150_109
| ~ spl1150_724 ),
inference(sat_conversion,[],[f71901]) ).
cnf(s1452,plain,
( ~ spl1150_77
| ~ spl1150_288
| spl1150_724
| ~ spl1150_1284
| ~ spl1150_1285 ),
inference(sat_conversion,[],[f79015]) ).
cnf(s1827,plain,
( ~ spl1150_46
| spl1150_274 ),
inference(rat,[],[s263,s269]) ).
cnf(s1830,plain,
( ~ spl1150_52
| spl1150_272 ),
inference(rat,[],[s259,s274]) ).
cnf(s1841,plain,
spl1150_285,
inference(rat,[],[s292,s274,s287,s289,s252]) ).
cnf(s1844,plain,
spl1150_254,
inference(rat,[],[s262,s252]) ).
cnf(s1846,plain,
spl1150_272,
inference(rat,[],[s1830,s252]) ).
cnf(s1855,plain,
spl1150_282,
inference(rat,[],[s283,s269,s278,s280,s251]) ).
cnf(s1858,plain,
spl1150_257,
inference(rat,[],[s266,s251]) ).
cnf(s1860,plain,
spl1150_274,
inference(rat,[],[s1827,s251]) ).
cnf(s1865,plain,
~ spl1150_130,
inference(rat,[],[s239,s1858,s269]) ).
cnf(s1876,plain,
~ spl1150_78,
inference(rat,[],[s237,s1844,s274]) ).
cnf(s1892,plain,
spl1150_288,
inference(rat,[],[s297,s1876]) ).
cnf(s1975,plain,
spl1150_114,
inference(rat,[],[s69,s71]) ).
cnf(s1976,plain,
spl1150_1284,
inference(rat,[],[s1030,s1865,s1855,s1860,s1975]) ).
cnf(s1977,plain,
spl1150_113,
inference(rat,[],[s68,s73]) ).
cnf(s1978,plain,
spl1150_1285,
inference(rat,[],[s1031,s1876,s1841,s1846,s1977]) ).
cnf(s1979,plain,
( ~ spl1150_106
| spl1150_109 ),
inference(rat,[],[s67,s1142]) ).
cnf(s1982,plain,
spl1150_77,
inference(rat,[],[s51,s1876]) ).
cnf(s1983,plain,
spl1150_724,
inference(rat,[],[s1452,s1978,s1976,s1892,s1982]) ).
cnf(s1987,plain,
~ spl1150_109,
inference(rat,[],[s1143,s71,s1983]) ).
cnf(s1992,plain,
~ spl1150_106,
inference(rat,[],[s1979,s1987]) ).
cnf(s1997,plain,
spl1150_107,
inference(rat,[],[s64,s47]) ).
cnf(s1998,plain,
spl1150_96,
inference(rat,[],[s59,s47]) ).
cnf(s2001,plain,
~ spl1150_45,
inference(rat,[],[s63,s1997,s1992,s1998]) ).
cnf(s2002,plain,
$false,
inference(rat,[],[s34,s2001,s36]) ).
fof(f79016,plain,
$false,
inference(avatar_sat_refutation,[],[s2002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP652+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:30:23 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.05/4.69 % (2889337)Detected formulas, will run a generic FOF schedule.
% 15.05/4.69 % (2889348)dis-21_1_sil=8000:lcm=predicate:random_seed=2621949881:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 15.05/4.69 % (2889344)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=741282123:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 15.05/4.69 % (2889342)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=2497475246:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 15.05/4.69 % (2889343)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=206938388:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 15.05/4.69 % (2889347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1267702354:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 15.05/4.69 % (2889345)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=840726710:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 15.05/4.69 % (2889346)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2211261229:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 15.05/4.69 % (2889348)Instruction limit reached!
% 15.05/4.69 % (2889348)------------------------------
% 15.05/4.69 % (2889348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.05/4.69 % (2889348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/4.69 % (2889348)CaDiCaL version: 2.1.3
% 15.05/4.69 % (2889348)Termination reason: Instruction limit
% 15.05/4.69 % (2889348)Termination phase: SInE selection
% 15.05/4.69 % (2889348)Time elapsed: 0.054 s
% 15.05/4.69 % (2889348)Peak memory usage: 139 MB
% 15.05/4.69 % (2889348)Instructions burned: 130 (million)
% 15.05/4.69 % (2889347)Instruction limit reached!
% 15.05/4.69 % (2889347)------------------------------
% 15.05/4.69 % (2889347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.05/4.69 % (2889347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/4.69 % (2889347)CaDiCaL version: 2.1.3
% 15.05/4.69 % (2889347)Termination reason: Instruction limit
% 15.05/4.69 % (2889347)Termination phase: Property scanning
% 15.05/4.69 % (2889347)Time elapsed: 0.064 s
% 15.05/4.69 % (2889347)Peak memory usage: 139 MB
% 15.05/4.69 % (2889347)Instructions burned: 141 (million)
% 15.05/4.69 % (2889345)Instruction limit reached!
% 15.05/4.69 % (2889345)------------------------------
% 15.05/4.69 % (2889345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.05/4.69 % (2889345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/4.69 % (2889345)CaDiCaL version: 2.1.3
% 15.05/4.69 % (2889345)Termination reason: Instruction limit
% 15.05/4.69 % (2889345)Termination phase: SInE selection
% 15.05/4.69 % (2889345)Time elapsed: 0.085 s
% 15.05/4.69 % (2889345)Peak memory usage: 139 MB
% 15.05/4.69 % (2889345)Instructions burned: 109 (million)
% 15.05/4.69 % (2889346)Instruction limit reached!
% 15.05/4.69 % (2889346)------------------------------
% 15.05/4.69 % (2889346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.05/4.69 % (2889346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.05/4.69 % (2889346)CaDiCaL version: 2.1.3
% 15.05/4.69 % (2889346)Termination reason: Instruction limit
% 15.05/4.69 % (2889346)Termination phase: SInE selection
% 15.05/4.69 % (2889346)Time elapsed: 0.091 s
% 15.05/4.69 % (2889346)Peak memory usage: 139 MB
% 15.05/4.69 % (2889346)Instructions burned: 119 (million)
% 15.05/4.69 % (2889356)lrs+10_1_sil=8000:sp=occurrence:random_seed=4077802450:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 15.05/4.69 % (2889357)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3175403251:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/157Mi)
% 15.05/4.69 % (2889358)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2110625866:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 15.05/4.69 % (2889359)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=318137991:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 15.05/4.69 % (2889357)Instruction limit reached!
% 23.55/6.02 % (2889357)------------------------------
% 23.55/6.02 % (2889357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.55/6.02 % (2889357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.55/6.02 % (2889357)CaDiCaL version: 2.1.3
% 23.55/6.02 % (2889357)Termination reason: Instruction limit
% 23.55/6.02 % (2889357)Termination phase: Property scanning
% 23.55/6.02 % (2889357)Time elapsed: 0.069 s
% 23.55/6.02 % (2889357)Peak memory usage: 139 MB
% 23.55/6.02 % (2889357)Instructions burned: 158 (million)
% 23.55/6.02 % (2889356)Instruction limit reached!
% 23.55/6.02 % (2889356)------------------------------
% 23.55/6.02 % (2889356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.55/6.02 % (2889356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.55/6.02 % (2889356)CaDiCaL version: 2.1.3
% 23.55/6.02 % (2889356)Termination reason: Instruction limit
% 23.55/6.02 % (2889356)Termination phase: Preprocessing 3
% 23.55/6.02 % (2889356)Time elapsed: 0.141 s
% 23.55/6.02 % (2889356)Peak memory usage: 142 MB
% 23.55/6.02 % (2889356)Instructions burned: 287 (million)
% 23.55/6.02 % (2889359)Instruction limit reached!
% 23.55/6.02 % (2889359)------------------------------
% 23.55/6.02 % (2889359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.55/6.02 % (2889359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.55/6.02 % (2889359)CaDiCaL version: 2.1.3
% 23.55/6.02 % (2889359)Termination reason: Instruction limit
% 23.55/6.02 % (2889359)Termination phase: Property scanning
% 23.55/6.02 % (2889359)Time elapsed: 0.108 s
% 23.55/6.02 % (2889359)Peak memory usage: 139 MB
% 23.55/6.02 % (2889359)Instructions burned: 248 (million)
% 23.55/6.02 % (2889364)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1344547094:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 23.55/6.02 % (2889365)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4243915229:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 23.55/6.02 % (2889358)Instruction limit reached!
% 23.55/6.02 % (2889358)------------------------------
% 23.55/6.02 % (2889358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.55/6.02 % (2889358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.55/6.02 % (2889358)CaDiCaL version: 2.1.3
% 23.55/6.02 % (2889358)Termination reason: Instruction limit
% 23.55/6.02 % (2889358)Termination phase: Saturation
% 23.55/6.02 % (2889358)Time elapsed: 0.248 s
% 23.55/6.02 % (2889358)Peak memory usage: 145 MB
% 23.55/6.02 % (2889358)Instructions burned: 326 (million)
% 23.55/6.02 % (2889364)Instruction limit reached!
% 23.55/6.02 % (2889364)------------------------------
% 23.55/6.02 % (2889364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.55/6.02 % (2889364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.55/6.02 % (2889364)CaDiCaL version: 2.1.3
% 23.55/6.02 % (2889364)Termination reason: Instruction limit
% 23.55/6.02 % (2889364)Termination phase: SInE selection
% 23.55/6.02 % (2889364)Time elapsed: 0.103 s
% 23.55/6.02 % (2889364)Peak memory usage: 140 MB
% 23.55/6.02 % (2889364)Instructions burned: 295 (million)
% 23.55/6.02 % (2889366)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3327229124:cts=off:i=113:fsr=off:ss=included:sgt=4_2973 on theBenchmark for (2973ds/113Mi)
% 23.55/6.02 % (2889366)Instruction limit reached!
% 23.55/6.02 % (2889366)------------------------------
% 23.55/6.02 % (2889366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.55/6.02 % (2889366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.55/6.02 % (2889366)CaDiCaL version: 2.1.3
% 23.55/6.02 % (2889366)Termination reason: Instruction limit
% 23.55/6.02 % (2889366)Termination phase: SInE selection
% 23.55/6.02 % (2889366)Time elapsed: 0.087 s
% 23.55/6.02 % (2889366)Peak memory usage: 139 MB
% 23.55/6.02 % (2889366)Instructions burned: 113 (million)
% 23.55/6.02 % (2889371)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1183920291:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 23.55/6.02 % (2889369)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2021723525:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 23.55/6.02 % (2889371)Instruction limit reached!
% 23.55/6.02 % (2889371)------------------------------
% 23.55/6.02 % (2889371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/9.18 % (2889371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/9.18 % (2889371)CaDiCaL version: 2.1.3
% 47.46/9.18 % (2889371)Termination reason: Instruction limit
% 47.46/9.18 % (2889371)Termination phase: Property scanning
% 47.46/9.18 % (2889371)Time elapsed: 0.029 s
% 47.46/9.18 % (2889371)Peak memory usage: 139 MB
% 47.46/9.18 % (2889371)Instructions burned: 117 (million)
% 47.46/9.18 % (2889369)Instruction limit reached!
% 47.46/9.18 % (2889369)------------------------------
% 47.46/9.18 % (2889369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/9.18 % (2889369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/9.18 % (2889369)CaDiCaL version: 2.1.3
% 47.46/9.18 % (2889369)Termination reason: Instruction limit
% 47.46/9.18 % (2889369)Termination phase: Preprocessing 1
% 47.46/9.18 % (2889369)Time elapsed: 0.097 s
% 47.46/9.18 % (2889369)Peak memory usage: 140 MB
% 47.46/9.18 % (2889369)Instructions burned: 128 (million)
% 47.46/9.18 % (2889372)lrs+10_1_sil=8000:sp=occurrence:random_seed=239684845:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2970 on theBenchmark for (2970ds/907Mi)
% 47.46/9.18 % (2889375)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=554880262:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 47.46/9.18 % (2889376)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3432251864:i=5202:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/5202Mi)
% 47.46/9.18 % (2889375)Instruction limit reached!
% 47.46/9.18 % (2889375)------------------------------
% 47.46/9.18 % (2889375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/9.18 % (2889375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/9.18 % (2889375)CaDiCaL version: 2.1.3
% 47.46/9.18 % (2889375)Termination reason: Instruction limit
% 47.46/9.18 % (2889375)Termination phase: Saturation
% 47.46/9.18 % (2889375)Time elapsed: 0.172 s
% 47.46/9.18 % (2889375)Peak memory usage: 146 MB
% 47.46/9.18 % (2889375)Instructions burned: 439 (million)
% 47.46/9.18 % (2889380)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=675831980:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 47.46/9.18 % (2889380)Instruction limit reached!
% 47.46/9.18 % (2889380)------------------------------
% 47.46/9.18 % (2889380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/9.18 % (2889380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/9.18 % (2889380)CaDiCaL version: 2.1.3
% 47.46/9.18 % (2889380)Termination reason: Instruction limit
% 47.46/9.18 % (2889380)Termination phase: SInE selection
% 47.46/9.18 % (2889380)Time elapsed: 0.058 s
% 47.46/9.18 % (2889380)Peak memory usage: 139 MB
% 47.46/9.18 % (2889380)Instructions burned: 136 (million)
% 47.46/9.18 % (2889382)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3399866364:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 47.46/9.18 % (2889372)Instruction limit reached!
% 47.46/9.18 % (2889372)------------------------------
% 47.46/9.18 % (2889372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/9.18 % (2889372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/9.18 % (2889372)CaDiCaL version: 2.1.3
% 47.46/9.18 % (2889372)Termination reason: Instruction limit
% 47.46/9.18 % (2889372)Termination phase: Property scanning
% 47.46/9.18 % (2889372)Time elapsed: 0.605 s
% 47.46/9.18 % (2889372)Peak memory usage: 158 MB
% 47.46/9.18 % (2889372)Instructions burned: 908 (million)
% 47.46/9.18 % (2889384)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1981944340:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 47.46/9.18 % (2889382)Instruction limit reached!
% 47.46/9.18 % (2889382)------------------------------
% 47.46/9.18 % (2889382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/9.18 % (2889382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/9.18 % (2889382)CaDiCaL version: 2.1.3
% 47.46/9.18 % (2889382)Termination reason: Instruction limit
% 47.46/9.18 % (2889382)Termination phase: Unused predicate definition removal
% 47.46/9.18 % (2889382)Time elapsed: 0.265 s
% 47.46/9.18 % (2889382)Peak memory usage: 145 MB
% 47.46/9.18 % (2889382)Instructions burned: 592 (million)
% 47.46/9.18 % (2889386)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=3488151453:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/125Mi)
% 24.53/9.55 % (2889386)Instruction limit reached!
% 24.53/9.55 % (2889386)------------------------------
% 24.53/9.55 % (2889386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889386)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889386)Termination reason: Instruction limit
% 24.53/9.55 % (2889386)Termination phase: Property scanning
% 24.53/9.55 % (2889386)Time elapsed: 0.032 s
% 24.53/9.55 % (2889386)Peak memory usage: 139 MB
% 24.53/9.55 % (2889386)Instructions burned: 129 (million)
% 24.53/9.55 % (2889388)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3314151346:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 24.53/9.55 % (2889388)Instruction limit reached!
% 24.53/9.55 % (2889388)------------------------------
% 24.53/9.55 % (2889388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889388)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889388)Termination reason: Instruction limit
% 24.53/9.55 % (2889388)Termination phase: Property scanning
% 24.53/9.55 % (2889388)Time elapsed: 0.033 s
% 24.53/9.55 % (2889388)Peak memory usage: 139 MB
% 24.53/9.55 % (2889388)Instructions burned: 136 (million)
% 24.53/9.55 % (2889365)Instruction limit reached!
% 24.53/9.55 % (2889365)------------------------------
% 24.53/9.55 % (2889365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889365)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889365)Termination reason: Instruction limit
% 24.53/9.55 % (2889365)Termination phase: Property scanning
% 24.53/9.55 % (2889365)Time elapsed: 1.635 s
% 24.53/9.55 % (2889365)Peak memory usage: 242 MB
% 24.53/9.55 % (2889365)Instructions burned: 2351 (million)
% 24.53/9.55 % (2889390)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=522269923:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/141Mi)
% 24.53/9.55 % (2889390)Instruction limit reached!
% 24.53/9.55 % (2889390)------------------------------
% 24.53/9.55 % (2889390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889390)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889390)Termination reason: Instruction limit
% 24.53/9.55 % (2889390)Termination phase: SInE selection
% 24.53/9.55 % (2889390)Time elapsed: 0.064 s
% 24.53/9.55 % (2889390)Peak memory usage: 139 MB
% 24.53/9.55 % (2889390)Instructions burned: 142 (million)
% 24.53/9.55 % (2889392)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2414341347:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/431Mi)
% 24.53/9.55 % (2889393)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1243467233:i=6060:aac=none:ins=25_2954 on theBenchmark for (2954ds/6060Mi)
% 24.53/9.55 % (2889392)Refutation not found, incomplete strategy
% 24.53/9.55 % (2889392)------------------------------
% 24.53/9.55 % (2889392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889392)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889392)Termination reason: Refutation not found, incomplete strategy
% 24.53/9.55 % (2889392)Time elapsed: 0.213 s
% 24.53/9.55 % (2889392)Peak memory usage: 145 MB
% 24.53/9.55 % (2889392)Instructions burned: 271 (million)
% 24.53/9.55 % (2889392)------------------------------
% 24.53/9.55 % (2889392)------------------------------
% 24.53/9.55 % (2889396)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1232770394:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2948 on theBenchmark for (2948ds/150Mi)
% 24.53/9.55 % (2889396)Instruction limit reached!
% 24.53/9.55 % (2889396)------------------------------
% 24.53/9.55 % (2889396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889396)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889396)Termination reason: Instruction limit
% 24.53/9.55 % (2889396)Termination phase: SInE selection
% 24.53/9.55 % (2889396)Time elapsed: 0.120 s
% 24.53/9.55 % (2889396)Peak memory usage: 139 MB
% 24.53/9.55 % (2889396)Instructions burned: 151 (million)
% 24.53/9.55 % (2889398)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3803850227:i=14155:bd=all_2946 on theBenchmark for (2946ds/14155Mi)
% 24.53/9.55 % (2889376)Instruction limit reached!
% 24.53/9.55 % (2889376)------------------------------
% 24.53/9.55 % (2889376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889376)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889376)Termination reason: Instruction limit
% 24.53/9.55 % (2889376)Termination phase: Saturation
% 24.53/9.55 % (2889376)Time elapsed: 3.197 s
% 24.53/9.55 % (2889376)Peak memory usage: 290 MB
% 24.53/9.55 % (2889376)Instructions burned: 5203 (million)
% 24.53/9.55 % (2889400)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1627564006:i=667:av=off:fsr=off_2935 on theBenchmark for (2935ds/667Mi)
% 24.53/9.55 % (2889393)Instruction limit reached!
% 24.53/9.55 % (2889393)------------------------------
% 24.53/9.55 % (2889393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889393)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889393)Termination reason: Instruction limit
% 24.53/9.55 % (2889393)Termination phase: Function definition elimination
% 24.53/9.55 % (2889393)Time elapsed: 2.187 s
% 24.53/9.55 % (2889393)Peak memory usage: 254 MB
% 24.53/9.55 % (2889393)Instructions burned: 6063 (million)
% 24.53/9.55 % (2889402)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1221825483:s2a=on:i=185:s2at=1.8:fdi=4_2931 on theBenchmark for (2931ds/185Mi)
% 24.53/9.55 % (2889402)Instruction limit reached!
% 24.53/9.55 % (2889402)------------------------------
% 24.53/9.55 % (2889402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889402)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889402)Termination reason: Instruction limit
% 24.53/9.55 % (2889402)Termination phase: SInE selection
% 24.53/9.55 % (2889402)Time elapsed: 0.078 s
% 24.53/9.55 % (2889402)Peak memory usage: 139 MB
% 24.53/9.55 % (2889402)Instructions burned: 187 (million)
% 24.53/9.55 % (2889404)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3238720101:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2929 on theBenchmark for (2929ds/193Mi)
% 24.53/9.55 % (2889400)Instruction limit reached!
% 24.53/9.55 % (2889400)------------------------------
% 24.53/9.55 % (2889400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889400)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889400)Termination reason: Instruction limit
% 24.53/9.55 % (2889400)Termination phase: NewCNF
% 24.53/9.55 % (2889400)Time elapsed: 0.561 s
% 24.53/9.55 % (2889400)Peak memory usage: 190 MB
% 24.53/9.55 % (2889400)Instructions burned: 668 (million)
% 24.53/9.55 % (2889404)Instruction limit reached!
% 24.53/9.55 % (2889404)------------------------------
% 24.53/9.55 % (2889404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.53/9.55 % (2889404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.53/9.55 % (2889404)CaDiCaL version: 2.1.3
% 24.53/9.55 % (2889404)Termination reason: Instruction limit
% 24.53/9.55 % (2889404)Termination phase: SInE selection
% 24.53/9.55 % (2889404)Time elapsed: 0.085 s
% 24.53/9.55 % (2889404)Peak memory usage: 139 MB
% 24.53/9.55 % (2889404)Instructions burned: 193 (million)
% 24.53/9.55 % (2889406)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2528761294:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2927 on theBenchmark for (2927ds/4850Mi)
% 24.53/9.55 % (2889407)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3500462230:i=12111:sd=1:ss=included_2927 on theBenchmark for (2927ds/12111Mi)
% 24.53/9.55 % (2889343)First to succeed.
% 24.53/9.55 % (2889343)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2889337"
% 24.53/9.55 % (2889343)Refutation found. Thanks to Tanya!
% 24.53/9.55 % SZS status Theorem for theBenchmark
% 24.53/9.55 % SZS output start Proof for theBenchmark
% See solution above
% 50.34/9.79 % (2889343)------------------------------
% 50.34/9.79 % (2889343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.34/9.79 % (2889343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.34/9.79 % (2889343)CaDiCaL version: 2.1.3
% 50.34/9.79 % (2889343)Termination reason: Refutation
% 50.34/9.79 % (2889343)Time elapsed: 6.255 s
% 50.34/9.79 % (2889343)Peak memory usage: 295 MB
% 50.34/9.79 % (2889343)Instructions burned: 9642 (million)
% 50.34/9.79 % (2889343)------------------------------
% 50.34/9.79 % (2889343)------------------------------
% 50.34/9.79 % (2889337)Success in time 8.925 s
% 50.34/9.79 % Vampire exiting
%------------------------------------------------------------------------------