%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT371+1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:27 AM UTC 2026
% Result : Theorem 26.07s 4.56s
% Output : Refutation 26.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 49
% Syntax : Number of formulae : 510 ( 46 unt; 17 def)
% Number of atoms : 2624 ( 229 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 3682 (1568 ~;1890 |; 150 &)
% ( 25 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 14 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-4 aty)
% Number of variables : 629 ( 0 sgn 617 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r4_waybel_0(X0,X1,k3_borsuk_1(X0,X1,X2),X3)
& r3_waybel_0(X0,X1,k3_borsuk_1(X0,X1,X2),X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r4_waybel_0(X0,X1,k3_borsuk_1(X0,X1,X2),X3)
& r3_waybel_0(X0,X1,k3_borsuk_1(X0,X1,X2),X3) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f25,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f26,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(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] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r3_waybel_0(X0,X1,X2,X3)
<=> ( r2_yellow_0(X0,X3)
=> ( r2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k2_yellow_0(X0,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d30_waybel_0) ).
fof(f27,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(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] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( r4_waybel_0(X0,X1,X2,X3)
<=> ( r1_yellow_0(X0,X3)
=> ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d31_waybel_0) ).
fof(f28,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_borsuk_1) ).
fof(f29,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X2,X0) )
=> ( v1_funct_1(k1_borsuk_1(X0,X1,X2))
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_borsuk_1) ).
fof(f31,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_struct_0) ).
fof(f35,axiom,
! [X0,X1] :
( l1_orders_2(X0)
=> m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f38,axiom,
! [X0,X1] :
( l1_orders_2(X0)
=> m1_subset_1(k2_yellow_0(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_0) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( v1_funct_1(k3_borsuk_1(X0,X1,X2))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_borsuk_1) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& ~ v3_struct_0(X1)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,u1_struct_0(X1))
& m1_relset_1(X2,X0,u1_struct_0(X1))
& m1_subset_1(X3,X0) )
=> m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_yellow_2) ).
fof(f44,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f47,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( m1_struct_0(X2,X0,X1)
=> m1_subset_1(X2,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_struct_0) ).
fof(f54,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ? [X2] : m1_struct_0(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_struct_0) ).
fof(f62,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(f67,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(f81,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X2,X0) )
=> k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_borsuk_1) ).
fof(f82,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(f83,axiom,
! [X0,X1,X2,X3] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& ~ v3_struct_0(X1)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
=> k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_waybel_0) ).
fof(f84,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f85,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& ~ v3_struct_0(X1)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,u1_struct_0(X1))
& m1_relset_1(X2,X0,u1_struct_0(X1))
& m1_subset_1(X3,X0) )
=> k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_yellow_2) ).
fof(f86,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( m1_struct_0(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_struct_0) ).
fof(f87,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(f89,axiom,
! [X0,X1,X2] :
( r2_hidden(X1,X0)
=> k1_funct_1(k2_funcop_1(X0,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_funcop_1) ).
fof(f91,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f92,axiom,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),X1)
<=> r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f93,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( r1_yellow_0(X0,k1_struct_0(X0,X1))
& r2_yellow_0(X0,k1_struct_0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_yellow_0) ).
fof(f94,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_yellow_0) ).
fof(f96,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ( X1 != k1_xboole_0
=> ! [X4] :
( ? [X5] :
( r2_hidden(X5,X0)
& r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5) )
=> r2_hidden(X4,k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_funct_2) ).
fof(f97,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f99,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f100,axiom,
! [X0,X1,X2] : r1_tarski(k9_relat_1(k2_funcop_1(X0,X1),X2),k1_tarski(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_borsuk_1) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r4_waybel_0(X0,X1,k3_borsuk_1(X0,X1,X2),X3)
| ~ r3_waybel_0(X0,X1,k3_borsuk_1(X0,X1,X2),X3) )
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r4_waybel_0(X0,X1,k3_borsuk_1(X0,X1,X2),X3)
| ~ r3_waybel_0(X0,X1,k3_borsuk_1(X0,X1,X2),X3) )
& ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
& m1_subset_1(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f110]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r3_waybel_0(X0,X1,X2,X3)
<=> ( ( r2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k2_yellow_0(X0,X3)) )
| ~ r2_yellow_0(X0,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r3_waybel_0(X0,X1,X2,X3)
<=> ( ( r2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k2_yellow_0(X0,X3)) )
| ~ r2_yellow_0(X0,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r4_waybel_0(X0,X1,X2,X3)
<=> ( ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
| ~ r1_yellow_0(X0,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r4_waybel_0(X0,X1,X2,X3)
<=> ( ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
| ~ r1_yellow_0(X0,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_borsuk_1(X0,X1,X2))
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_borsuk_1(X0,X1,X2))
& v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
& m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f145,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f144]) ).
fof(f148,plain,
! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f149,plain,
! [X0,X1] :
( m1_subset_1(k2_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_borsuk_1(X0,X1,X2))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_borsuk_1(X0,X1,X2))
& v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(flattening,[],[f150]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f157,plain,
! [X0,X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_struct_0(X2,X0,X1) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f47]) ).
fof(f158,plain,
! [X0,X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_struct_0(X2,X0,X1) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f157]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X2] : m1_struct_0(X2,X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f54]) ).
fof(f161,plain,
! [X0,X1] :
( ? [X2] : m1_struct_0(X2,X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f160]) ).
fof(f168,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f169,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f168]) ).
fof(f184,plain,
! [X0,X1,X2] :
( k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f185,plain,
! [X0,X1,X2] :
( k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(flattening,[],[f184]) ).
fof(f186,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,[],[f82]) ).
fof(f187,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,[],[f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f83]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f84]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( ! [X2] :
( m1_struct_0(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f86]) ).
fof(f195,plain,
! [X0,X1] :
( ! [X2] :
( m1_struct_0(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0,X1,X2] :
( k1_funct_1(k2_funcop_1(X0,X2),X1) = X2
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f198,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f199,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( r1_yellow_0(X0,k1_struct_0(X0,X1))
& r2_yellow_0(X0,k1_struct_0(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( r1_yellow_0(X0,k1_struct_0(X0,X1))
& r2_yellow_0(X0,k1_struct_0(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f200]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ( k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
& k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1 )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ! [X5] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4 ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ! [X5] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4 ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f97]) ).
fof(f207,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f206]) ).
fof(f209,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f212,plain,
( ( ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,sK2),sK3)
| ~ r3_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,sK2),sK3) )
& ~ v1_xboole_0(sK3)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
& m1_subset_1(sK2,u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v2_orders_2(sK1)
& v4_orders_2(sK1)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f111]) ).
fof(f213,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,[],[f25]) ).
fof(f214,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,[],[f213]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r3_waybel_0(X0,X1,X2,X3)
| ( ( ~ r2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| k2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k2_yellow_0(X0,X3)) )
& r2_yellow_0(X0,X3) ) )
& ( ( r2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k2_yellow_0(X0,X3)) )
| ~ r2_yellow_0(X0,X3)
| ~ r3_waybel_0(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f137]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r3_waybel_0(X0,X1,X2,X3)
| ( ( ~ r2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| k2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k2_yellow_0(X0,X3)) )
& r2_yellow_0(X0,X3) ) )
& ( ( r2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k2_yellow_0(X0,X3)) )
| ~ r2_yellow_0(X0,X3)
| ~ r3_waybel_0(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f215]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r4_waybel_0(X0,X1,X2,X3)
| ( ( ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
& r1_yellow_0(X0,X3) ) )
& ( ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
| ~ r1_yellow_0(X0,X3)
| ~ r4_waybel_0(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r4_waybel_0(X0,X1,X2,X3)
| ( ( ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
& r1_yellow_0(X0,X3) ) )
& ( ( r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
& k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) = k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3)) )
| ~ r1_yellow_0(X0,X3)
| ~ r4_waybel_0(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f217]) ).
fof(f222,plain,
! [X0,X1] :
( m1_struct_0(sK7(X0,X1),X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f161]) ).
fof(f235,plain,
! [X0,X1] :
( ! [X2] :
( ( m1_struct_0(X2,X0,X1)
| ~ m1_subset_1(X2,X1) )
& ( m1_subset_1(X2,X1)
| ~ m1_struct_0(X2,X0,X1) ) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(nnf_transformation,[],[f195]) ).
fof(f236,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,[],[f87]) ).
fof(f237,plain,
! [X0,X1] :
( ( r1_tarski(k1_tarski(X0),X1)
| ~ r2_hidden(X0,X1) )
& ( r2_hidden(X0,X1)
| ~ r1_tarski(k1_tarski(X0),X1) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f239,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f212]) ).
fof(f240,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f212]) ).
fof(f241,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f212]) ).
fof(f242,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f212]) ).
fof(f243,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f212]) ).
fof(f244,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f212]) ).
fof(f245,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f212]) ).
fof(f246,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f212]) ).
fof(f247,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f212]) ).
fof(f248,plain,
( ~ r4_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,sK2),sK3)
| ~ r3_waybel_0(sK0,sK1,k3_borsuk_1(sK0,sK1,sK2),sK3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f298,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f214]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( k2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k2_yellow_0(X0,X3))
| ~ r2_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| r3_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( k1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3)) != k1_waybel_0(X0,X1,X2,k1_yellow_0(X0,X3))
| ~ r1_yellow_0(X1,k4_pre_topc(X0,X1,X2,X3))
| r4_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| k3_borsuk_1(X0,X1,X2) = k1_borsuk_1(u1_struct_0(X1),u1_struct_0(X0),X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f308,plain,
! [X2,X0,X1] :
( m2_relset_1(k1_borsuk_1(X0,X1,X2),X1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f309,plain,
! [X2,X0,X1] :
( v1_funct_2(k1_borsuk_1(X0,X1,X2),X1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f310,plain,
! [X2,X0,X1] :
( v1_funct_1(k1_borsuk_1(X0,X1,X2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f311,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f313,plain,
! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f314,plain,
! [X0,X1] :
( m1_subset_1(k2_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f315,plain,
! [X2,X0,X1] :
( m2_relset_1(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f316,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_borsuk_1(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f317,plain,
! [X2,X0,X1] :
( v1_funct_1(k3_borsuk_1(X0,X1,X2))
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k7_yellow_2(X0,X1,X2,X3),u1_struct_0(X1))
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f320,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f321,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_struct_0(X2,X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f326,plain,
! [X0,X1] :
( m1_struct_0(sK7(X0,X1),X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f222]) ).
fof(f342,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f355,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f67]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,X0)
| v1_xboole_0(X0)
| k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f390,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| k1_waybel_0(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,u1_struct_0(X1))
| v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,u1_struct_0(X1))
| k7_yellow_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_struct_0(X2,X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_xboole_0(X1)
| m1_subset_1(X2,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f396,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X0)
| k1_funct_1(k2_funcop_1(X0,X2),X1) = X2 ),
inference(cnf_transformation,[],[f196]) ).
fof(f401,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f403,plain,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f404,plain,
! [X0,X1] :
( r2_yellow_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f405,plain,
! [X0,X1] :
( r1_yellow_0(X0,k1_struct_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f406,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_yellow_0(X0,k1_struct_0(X0,X1)) = X1
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f407,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_yellow_0(X0,k1_struct_0(X0,X1)) = X1
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f411,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f413,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f209]) ).
fof(f414,plain,
! [X2,X0,X1] : r1_tarski(k9_relat_1(k2_funcop_1(X0,X1),X2),k1_tarski(X1)),
inference(cnf_transformation,[],[f100]) ).
fof(f419,plain,
! [X2,X3,X0,X1,X5] :
( ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| r2_hidden(k1_funct_1(X3,X5),k9_relat_1(X3,X2)) ),
inference(equality_resolution,[],[f410]) ).
fof(f420,definition,
sF20 = k3_borsuk_1(sK0,sK1,sK2),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f421,plain,
k3_borsuk_1(sK0,sK1,sK2) = sF20,
inference(reorient_equations,[],[f420]) ).
fof(f422,plain,
( ~ r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ r3_waybel_0(sK0,sK1,sF20,sK3) ),
inference(definition_folding,[],[f248,f421,f421]) ).
fof(f423,definition,
sF21 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f424,plain,
u1_struct_0(sK0) = sF21,
inference(reorient_equations,[],[f423]) ).
fof(f425,definition,
sF22 = k1_zfmisc_1(sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f426,plain,
k1_zfmisc_1(sF21) = sF22,
inference(reorient_equations,[],[f425]) ).
fof(f427,plain,
m1_subset_1(sK3,sF22),
inference(definition_folding,[],[f246,f426,f424]) ).
fof(f428,definition,
sF23 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f429,plain,
u1_struct_0(sK1) = sF23,
inference(reorient_equations,[],[f428]) ).
fof(f430,plain,
m1_subset_1(sK2,sF23),
inference(definition_folding,[],[f245,f429]) ).
fof(f432,definition,
( spl24_1
<=> r3_waybel_0(sK0,sK1,sF20,sK3) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f434,plain,
( ~ r3_waybel_0(sK0,sK1,sF20,sK3)
| spl24_1 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f436,definition,
( spl24_2
<=> r4_waybel_0(sK0,sK1,sF20,sK3) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f438,plain,
( ~ r4_waybel_0(sK0,sK1,sF20,sK3)
| spl24_2 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f422,f436,f432]) ).
fof(f440,plain,
( v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(superposition,[],[f316,f421]) ).
fof(f441,plain,
( v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f440,f244]) ).
fof(f442,plain,
( v1_funct_2(sF20,u1_struct_0(sK0),sF23)
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f441,f429]) ).
fof(f443,plain,
( v1_funct_2(sF20,sF21,sF23)
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(forward_demodulation,[],[f442,f424]) ).
fof(f444,plain,
( ~ m1_subset_1(sK2,sF23)
| v1_funct_2(sF20,sF21,sF23)
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1) ),
inference(forward_demodulation,[],[f443,f429]) ).
fof(f445,plain,
( v1_funct_2(sF20,sF21,sF23)
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f444,f430]) ).
fof(f447,definition,
( spl24_3
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f448,plain,
( l1_struct_0(sK1)
| ~ spl24_3 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( ~ l1_struct_0(sK1)
| spl24_3 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f451,definition,
( spl24_4
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f452,plain,
( l1_struct_0(sK0)
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( ~ l1_struct_0(sK0)
| spl24_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl24_5
<=> v1_funct_2(sF20,sF21,sF23) ),
introduced(definition,[new_symbols(definition,[spl24_5])],[avatar_definition]) ).
fof(f457,plain,
( v1_funct_2(sF20,sF21,sF23)
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f458,plain,
( ~ spl24_3
| ~ spl24_4
| spl24_5 ),
inference(avatar_split_clause,[],[f445,f455,f451,f447]) ).
fof(f472,plain,
( m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(superposition,[],[f315,f421]) ).
fof(f478,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k2_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f406,f429]) ).
fof(f479,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k2_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f478,f244]) ).
fof(f481,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k2_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f479,f243]) ).
fof(f483,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k2_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f481,f242]) ).
fof(f496,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k2_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f483,f241]) ).
fof(f497,plain,
sK2 = k2_yellow_0(sK1,k1_struct_0(sK1,sK2)),
inference(resolution,[],[f496,f430]) ).
fof(f499,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k1_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f407,f429]) ).
fof(f500,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k1_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f499,f244]) ).
fof(f501,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k1_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f500,f243]) ).
fof(f502,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k1_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f501,f242]) ).
fof(f503,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| k1_yellow_0(sK1,k1_struct_0(sK1,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f502,f241]) ).
fof(f504,plain,
sK2 = k1_yellow_0(sK1,k1_struct_0(sK1,sK2)),
inference(resolution,[],[f503,f430]) ).
fof(f506,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| k3_borsuk_1(X1,sK1,X0) = k1_borsuk_1(sF23,u1_struct_0(X1),X0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(X1) ),
inference(superposition,[],[f307,f429]) ).
fof(f507,plain,
l1_struct_0(sK1),
inference(resolution,[],[f320,f241]) ).
fof(f508,plain,
l1_struct_0(sK0),
inference(resolution,[],[f320,f239]) ).
fof(f509,plain,
( $false
| spl24_4 ),
inference(forward_subsumption_resolution,[],[f508,f453]) ).
fof(f510,plain,
spl24_4,
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f511,plain,
( $false
| spl24_3 ),
inference(forward_subsumption_resolution,[],[f507,f449]) ).
fof(f512,plain,
spl24_3,
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f515,plain,
( m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f472,f452]) ).
fof(f521,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| k3_borsuk_1(X1,sK1,X0) = k1_borsuk_1(sF23,u1_struct_0(X1),X0)
| ~ l1_struct_0(sK1)
| ~ l1_struct_0(X1) ),
inference(forward_subsumption_resolution,[],[f506,f244]) ).
fof(f523,plain,
( m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f515,f244]) ).
fof(f527,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| k3_borsuk_1(X1,sK1,X0) = k1_borsuk_1(sF23,u1_struct_0(X1),X0)
| ~ l1_struct_0(X1) )
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f521,f448]) ).
fof(f528,plain,
( m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f523,f448]) ).
fof(f529,plain,
( m2_relset_1(sF20,u1_struct_0(sK0),sF23)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_demodulation,[],[f528,f429]) ).
fof(f530,plain,
( m2_relset_1(sF20,sF21,sF23)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_demodulation,[],[f529,f424]) ).
fof(f531,plain,
( ~ m1_subset_1(sK2,sF23)
| m2_relset_1(sF20,sF21,sF23)
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_demodulation,[],[f530,f429]) ).
fof(f532,plain,
( m2_relset_1(sF20,sF21,sF23)
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f531,f430]) ).
fof(f533,plain,
( v1_funct_1(sF20)
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1)) ),
inference(superposition,[],[f317,f421]) ).
fof(f534,plain,
( v1_funct_1(sF20)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f533,f452]) ).
fof(f535,plain,
( v1_funct_1(sF20)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f534,f244]) ).
fof(f536,plain,
( v1_funct_1(sF20)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f535,f448]) ).
fof(f537,plain,
( ~ m1_subset_1(sK2,sF23)
| v1_funct_1(sF20)
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_demodulation,[],[f536,f429]) ).
fof(f538,plain,
( v1_funct_1(sF20)
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f537,f430]) ).
fof(f539,plain,
! [X0] :
( ~ m1_subset_1(X0,sF21)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| k1_tarski(X0) = k1_struct_0(sK0,X0) ),
inference(superposition,[],[f390,f424]) ).
fof(f540,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| k1_tarski(X0) = k1_struct_0(sK1,X0) ),
inference(superposition,[],[f390,f429]) ).
fof(f541,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| ~ l1_struct_0(sK1)
| k1_tarski(X0) = k1_struct_0(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f540,f244]) ).
fof(f542,plain,
! [X0] :
( ~ m1_subset_1(X0,sF21)
| ~ l1_struct_0(sK0)
| k1_tarski(X0) = k1_struct_0(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f539,f240]) ).
fof(f543,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF23)
| k1_tarski(X0) = k1_struct_0(sK1,X0) )
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f541,f448]) ).
fof(f544,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF21)
| k1_tarski(X0) = k1_struct_0(sK0,X0) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f542,f452]) ).
fof(f545,plain,
( k1_struct_0(sK1,sK2) = k1_tarski(sK2)
| ~ spl24_3 ),
inference(resolution,[],[f543,f430]) ).
fof(f549,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF23)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF23)
| k1_funct_1(X0,X2) = k1_waybel_0(X1,sK1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(superposition,[],[f391,f429]) ).
fof(f550,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF23)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF23)
| k1_funct_1(X0,X2) = k1_waybel_0(X1,sK1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f549,f244]) ).
fof(f554,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF23)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF23)
| k1_funct_1(X0,X2) = k1_waybel_0(X1,sK1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f550,f448]) ).
fof(f646,plain,
! [X0] :
( v1_xboole_0(sF23)
| k1_borsuk_1(sF23,X0,sK2) = k2_funcop_1(X0,sK2) ),
inference(resolution,[],[f389,f430]) ).
fof(f648,definition,
( spl24_11
<=> ! [X0] : k1_borsuk_1(sF23,X0,sK2) = k2_funcop_1(X0,sK2) ),
introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).
fof(f649,plain,
( ! [X0] : k1_borsuk_1(sF23,X0,sK2) = k2_funcop_1(X0,sK2)
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,definition,
( spl24_12
<=> v1_xboole_0(sF23) ),
introduced(definition,[new_symbols(definition,[spl24_12])],[avatar_definition]) ).
fof(f652,plain,
( ~ v1_xboole_0(sF23)
| spl24_12 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f654,plain,
( spl24_11
| spl24_12 ),
inference(avatar_split_clause,[],[f646,f651,f648]) ).
fof(f659,definition,
( spl24_14
<=> v1_xboole_0(sF22) ),
introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).
fof(f660,plain,
( ~ v1_xboole_0(sF22)
| spl24_14 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f661,plain,
( v1_xboole_0(sF22)
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f663,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,sF21,u1_struct_0(X1))
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF21,u1_struct_0(X1))
| k4_pre_topc(sK0,X1,X0,X2) = k9_relat_1(X0,X2) ),
inference(superposition,[],[f392,f424]) ).
fof(f670,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,sF21,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF21,u1_struct_0(X1))
| k4_pre_topc(sK0,X1,X0,X2) = k9_relat_1(X0,X2) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f663,f452]) ).
fof(f671,plain,
( ! [X0] :
( k3_borsuk_1(X0,sK1,sK2) = k1_borsuk_1(sF23,u1_struct_0(X0),sK2)
| ~ l1_struct_0(X0) )
| ~ spl24_3 ),
inference(resolution,[],[f527,f430]) ).
fof(f672,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| k3_borsuk_1(X0,sK1,sK2) = k2_funcop_1(u1_struct_0(X0),sK2) )
| ~ spl24_3
| ~ spl24_11 ),
inference(forward_demodulation,[],[f671,f649]) ).
fof(f674,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,sF23)
| v1_xboole_0(X1)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,sF23)
| k1_funct_1(X0,X2) = k7_yellow_2(X1,sK1,X0,X2)
| ~ m1_subset_1(X2,X1) ),
inference(superposition,[],[f393,f429]) ).
fof(f675,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,sF23)
| v1_xboole_0(X1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,sF23)
| k1_funct_1(X0,X2) = k7_yellow_2(X1,sK1,X0,X2)
| ~ m1_subset_1(X2,X1) ),
inference(forward_subsumption_resolution,[],[f674,f244]) ).
fof(f677,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,sF23)
| v1_xboole_0(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,sF23)
| k1_funct_1(X0,X2) = k7_yellow_2(X1,sK1,X0,X2)
| ~ m1_subset_1(X2,X1) )
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f675,f448]) ).
fof(f692,plain,
! [X0] :
( m1_subset_1(k1_yellow_0(sK0,X0),sF21)
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f313,f424]) ).
fof(f693,plain,
! [X0] :
( m1_subset_1(k1_yellow_0(sK1,X0),sF23)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f313,f429]) ).
fof(f696,plain,
! [X0] : m1_subset_1(k1_yellow_0(sK1,X0),sF23),
inference(forward_subsumption_resolution,[],[f693,f241]) ).
fof(f697,plain,
! [X0] : m1_subset_1(k1_yellow_0(sK0,X0),sF21),
inference(forward_subsumption_resolution,[],[f692,f239]) ).
fof(f708,definition,
( spl24_16
<=> v1_xboole_0(sF21) ),
introduced(definition,[new_symbols(definition,[spl24_16])],[avatar_definition]) ).
fof(f709,plain,
( ~ v1_xboole_0(sF21)
| spl24_16 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f750,plain,
( ~ v1_xboole_0(sF21)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0) ),
inference(superposition,[],[f342,f424]) ).
fof(f751,plain,
( ~ v1_xboole_0(sF23)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1) ),
inference(superposition,[],[f342,f429]) ).
fof(f752,plain,
( ~ v1_xboole_0(sF23)
| ~ l1_struct_0(sK1) ),
inference(forward_subsumption_resolution,[],[f751,f244]) ).
fof(f753,plain,
( ~ v1_xboole_0(sF21)
| ~ l1_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f750,f240]) ).
fof(f754,plain,
( ~ v1_xboole_0(sF23)
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f752,f448]) ).
fof(f755,plain,
( ~ v1_xboole_0(sF21)
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f753,f452]) ).
fof(f756,plain,
( ~ spl24_12
| ~ spl24_3 ),
inference(avatar_split_clause,[],[f754,f447,f651]) ).
fof(f757,plain,
( ~ spl24_16
| ~ spl24_4 ),
inference(avatar_split_clause,[],[f755,f451,f708]) ).
fof(f774,plain,
! [X0] :
( m1_subset_1(k2_yellow_0(sK0,X0),sF21)
| ~ l1_orders_2(sK0) ),
inference(superposition,[],[f314,f424]) ).
fof(f779,plain,
! [X0] : m1_subset_1(k2_yellow_0(sK0,X0),sF21),
inference(forward_subsumption_resolution,[],[f774,f239]) ).
fof(f818,plain,
( sK2 = k1_yellow_0(sK1,k1_tarski(sK2))
| ~ spl24_3 ),
inference(superposition,[],[f504,f545]) ).
fof(f819,plain,
( sK2 = k2_yellow_0(sK1,k1_tarski(sK2))
| ~ spl24_3 ),
inference(superposition,[],[f497,f545]) ).
fof(f820,plain,
( r2_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl24_3 ),
inference(superposition,[],[f404,f545]) ).
fof(f821,plain,
( r1_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl24_3 ),
inference(superposition,[],[f405,f545]) ).
fof(f822,plain,
( r1_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f821,f244]) ).
fof(f823,plain,
( r2_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f820,f244]) ).
fof(f824,plain,
( r1_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f822,f243]) ).
fof(f825,plain,
( r2_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f823,f243]) ).
fof(f826,plain,
( r1_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f824,f242]) ).
fof(f827,plain,
( r2_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f825,f242]) ).
fof(f828,plain,
( r1_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f826,f241]) ).
fof(f829,plain,
( r2_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f827,f241]) ).
fof(f830,plain,
( ~ m1_subset_1(sK2,sF23)
| r1_yellow_0(sK1,k1_tarski(sK2))
| ~ spl24_3 ),
inference(forward_demodulation,[],[f828,f429]) ).
fof(f831,plain,
( ~ m1_subset_1(sK2,sF23)
| r2_yellow_0(sK1,k1_tarski(sK2))
| ~ spl24_3 ),
inference(forward_demodulation,[],[f829,f429]) ).
fof(f832,plain,
( r1_yellow_0(sK1,k1_tarski(sK2))
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f830,f430]) ).
fof(f833,plain,
( r2_yellow_0(sK1,k1_tarski(sK2))
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f831,f430]) ).
fof(f844,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| ~ m1_struct_0(X1,sK0,X0)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| m1_subset_1(X1,sF21) ),
inference(superposition,[],[f321,f424]) ).
fof(f847,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| ~ m1_struct_0(X1,sK0,X0)
| ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| m1_subset_1(X1,sF21) ),
inference(forward_subsumption_resolution,[],[f844,f240]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| ~ m1_struct_0(X1,sK0,X0)
| v1_xboole_0(X0)
| m1_subset_1(X1,sF21) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f847,f452]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ m1_struct_0(X1,sK0,X0)
| ~ m1_subset_1(X0,sF22)
| v1_xboole_0(X0)
| m1_subset_1(X1,sF21) )
| ~ spl24_4 ),
inference(forward_demodulation,[],[f849,f426]) ).
fof(f885,plain,
! [X0] :
( m1_subset_1(k1_struct_0(sK0,X0),k1_zfmisc_1(sF21))
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(X0,sF21) ),
inference(superposition,[],[f311,f424]) ).
fof(f890,plain,
! [X0] :
( m1_subset_1(k1_struct_0(sK0,X0),k1_zfmisc_1(sF21))
| ~ l1_struct_0(sK0)
| ~ m1_subset_1(X0,sF21) ),
inference(forward_subsumption_resolution,[],[f885,f240]) ).
fof(f893,plain,
( ! [X0] :
( m1_subset_1(k1_struct_0(sK0,X0),k1_zfmisc_1(sF21))
| ~ m1_subset_1(X0,sF21) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f890,f452]) ).
fof(f895,plain,
( ! [X0] :
( m1_subset_1(k1_struct_0(sK0,X0),sF22)
| ~ m1_subset_1(X0,sF21) )
| ~ spl24_4 ),
inference(forward_demodulation,[],[f893,f426]) ).
fof(f926,plain,
( m1_relset_1(sF20,sF21,sF23)
| ~ spl24_3
| ~ spl24_4 ),
inference(resolution,[],[f396,f532]) ).
fof(f946,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,sF21,sF23)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF21,sF23)
| k1_funct_1(X0,X1) = k1_waybel_0(sK0,sK1,X0,X1)
| ~ m1_subset_1(X1,sF21) )
| ~ spl24_3 ),
inference(superposition,[],[f554,f424]) ).
fof(f949,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,sF21,sF23)
| ~ l1_struct_0(sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF21,sF23)
| k1_funct_1(X0,X1) = k1_waybel_0(sK0,sK1,X0,X1)
| ~ m1_subset_1(X1,sF21) )
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f946,f240]) ).
fof(f951,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,sF21,sF23)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF21,sF23)
| k1_funct_1(X0,X1) = k1_waybel_0(sK0,sK1,X0,X1)
| ~ m1_subset_1(X1,sF21) )
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f949,f452]) ).
fof(f952,plain,
( ! [X0] :
( ~ v1_funct_1(sF20)
| ~ v1_funct_2(sF20,sF21,sF23)
| k1_funct_1(sF20,X0) = k1_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,sF21) )
| ~ spl24_3
| ~ spl24_4 ),
inference(resolution,[],[f951,f926]) ).
fof(f953,plain,
( ! [X0] :
( ~ v1_funct_2(sF20,sF21,sF23)
| k1_funct_1(sF20,X0) = k1_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,sF21) )
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f952,f538]) ).
fof(f954,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF21)
| k1_funct_1(sF20,X0) = k1_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f953,f457]) ).
fof(f955,plain,
( ! [X0] : k1_funct_1(sF20,k2_yellow_0(sK0,X0)) = k1_waybel_0(sK0,sK1,sF20,k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f954,f779]) ).
fof(f956,plain,
( ! [X0] : k1_funct_1(sF20,k1_yellow_0(sK0,X0)) = k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(resolution,[],[f954,f697]) ).
fof(f973,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,sF21,sF23)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF21,sF23)
| k9_relat_1(X0,X1) = k4_pre_topc(sK0,sK1,X0,X1) )
| ~ spl24_4 ),
inference(superposition,[],[f670,f429]) ).
fof(f974,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,sF21,sF23)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF21,sF23)
| k9_relat_1(X0,X1) = k4_pre_topc(sK0,sK1,X0,X1) )
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f973,f448]) ).
fof(f975,plain,
( ! [X0] :
( ~ v1_funct_1(sF20)
| ~ v1_funct_2(sF20,sF21,sF23)
| k9_relat_1(sF20,X0) = k4_pre_topc(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4 ),
inference(resolution,[],[f974,f926]) ).
fof(f976,plain,
( ! [X0] :
( ~ v1_funct_2(sF20,sF21,sF23)
| k9_relat_1(sF20,X0) = k4_pre_topc(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f975,f538]) ).
fof(f977,plain,
( ! [X0] : k9_relat_1(sF20,X0) = k4_pre_topc(sK0,sK1,sF20,X0)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f976,f457]) ).
fof(f978,plain,
( ! [X0] :
( k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sF20)
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(superposition,[],[f306,f977]) ).
fof(f979,plain,
( ! [X0] :
( k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f978,f538]) ).
fof(f980,plain,
( ! [X0] :
( k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f979,f244]) ).
fof(f981,plain,
( ! [X0] :
( k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f980,f241]) ).
fof(f982,plain,
( ! [X0] :
( k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f981,f240]) ).
fof(f983,plain,
( ! [X0] :
( k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f982,f239]) ).
fof(f984,plain,
( ! [X0] :
( k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f983,f956]) ).
fof(f985,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f984,f424]) ).
fof(f986,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f985,f426]) ).
fof(f987,plain,
( ! [X0] :
( ~ v1_funct_2(sF20,u1_struct_0(sK0),sF23)
| ~ m1_subset_1(X0,sF22)
| k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f986,f429]) ).
fof(f988,plain,
( ! [X0] :
( ~ v1_funct_2(sF20,sF21,sF23)
| ~ m1_subset_1(X0,sF22)
| k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f987,f424]) ).
fof(f989,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0)
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f988,f457]) ).
fof(f990,plain,
( ! [X0] :
( ~ m2_relset_1(sF20,u1_struct_0(sK0),sF23)
| ~ m1_subset_1(X0,sF22)
| k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f989,f429]) ).
fof(f991,plain,
( ! [X0] :
( ~ m2_relset_1(sF20,sF21,sF23)
| ~ m1_subset_1(X0,sF22)
| k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f990,f424]) ).
fof(f992,plain,
( ! [X0] :
( k1_funct_1(sF20,k1_yellow_0(sK0,X0)) != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ m1_subset_1(X0,sF22)
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f991,f532]) ).
fof(f1000,plain,
! [X0,X1] :
( v1_xboole_0(sF23)
| k1_borsuk_1(sF23,X0,k1_yellow_0(sK1,X1)) = k2_funcop_1(X0,k1_yellow_0(sK1,X1)) ),
inference(resolution,[],[f696,f389]) ).
fof(f1003,plain,
( ! [X0,X1] : k1_borsuk_1(sF23,X0,k1_yellow_0(sK1,X1)) = k2_funcop_1(X0,k1_yellow_0(sK1,X1))
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f1000,f652]) ).
fof(f1031,plain,
( k3_borsuk_1(sK0,sK1,sK2) = k2_funcop_1(u1_struct_0(sK0),sK2)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11 ),
inference(resolution,[],[f672,f452]) ).
fof(f1032,plain,
( k3_borsuk_1(sK0,sK1,sK2) = k2_funcop_1(sF21,sK2)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11 ),
inference(forward_demodulation,[],[f1031,f424]) ).
fof(f1034,plain,
( sF20 = k2_funcop_1(sF21,sK2)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11 ),
inference(forward_demodulation,[],[f1032,f421]) ).
fof(f1086,plain,
! [X2,X0,X1] :
( m1_subset_1(k7_yellow_2(X0,sK1,X1,X2),sF23)
| v1_xboole_0(X0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,sF23)
| ~ m1_relset_1(X1,X0,sF23)
| ~ m1_subset_1(X2,X0) ),
inference(superposition,[],[f319,f429]) ).
fof(f1091,plain,
! [X2,X0,X1] :
( m1_subset_1(k7_yellow_2(X0,sK1,X1,X2),sF23)
| v1_xboole_0(X0)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,sF23)
| ~ m1_relset_1(X1,X0,sF23)
| ~ m1_subset_1(X2,X0) ),
inference(forward_subsumption_resolution,[],[f1086,f244]) ).
fof(f1097,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k7_yellow_2(X0,sK1,X1,X2),sF23)
| v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,sF23)
| ~ m1_relset_1(X1,X0,sF23)
| ~ m1_subset_1(X2,X0) )
| ~ spl24_3 ),
inference(forward_subsumption_resolution,[],[f1091,f448]) ).
fof(f1099,plain,
( ! [X0] :
( v1_funct_1(k2_funcop_1(X0,sK2))
| v1_xboole_0(sF23)
| ~ m1_subset_1(sK2,sF23) )
| ~ spl24_11 ),
inference(superposition,[],[f310,f649]) ).
fof(f1100,plain,
( ! [X0] :
( v1_funct_1(k2_funcop_1(X0,sK2))
| ~ m1_subset_1(sK2,sF23) )
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f1099,f652]) ).
fof(f1101,plain,
( ! [X0] : v1_funct_1(k2_funcop_1(X0,sK2))
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f1100,f430]) ).
fof(f1103,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| ~ m1_struct_0(X1,sK0,X0)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| m1_subset_1(X1,X0) ),
inference(superposition,[],[f394,f424]) ).
fof(f1107,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| ~ m1_struct_0(X1,sK0,X0)
| ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| m1_subset_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f1103,f240]) ).
fof(f1109,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| ~ m1_struct_0(X1,sK0,X0)
| v1_xboole_0(X0)
| m1_subset_1(X1,X0) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f1107,f452]) ).
fof(f1110,plain,
( ! [X0,X1] :
( ~ m1_struct_0(X1,sK0,X0)
| ~ m1_subset_1(X0,sF22)
| v1_xboole_0(X0)
| m1_subset_1(X1,X0) )
| ~ spl24_4 ),
inference(forward_demodulation,[],[f1109,f426]) ).
fof(f1125,plain,
! [X0] :
( r2_hidden(k2_yellow_0(sK0,X0),sF21)
| v1_xboole_0(sF21) ),
inference(resolution,[],[f401,f779]) ).
fof(f1129,plain,
! [X0] :
( r2_hidden(k1_yellow_0(sK0,X0),sF21)
| v1_xboole_0(sF21) ),
inference(resolution,[],[f401,f697]) ).
fof(f1145,plain,
( ! [X0] : r2_hidden(k1_yellow_0(sK0,X0),sF21)
| spl24_16 ),
inference(forward_subsumption_resolution,[],[f1129,f709]) ).
fof(f1148,plain,
( ! [X0] : r2_hidden(k2_yellow_0(sK0,X0),sF21)
| spl24_16 ),
inference(forward_subsumption_resolution,[],[f1125,f709]) ).
fof(f1179,plain,
( ! [X0] : r1_tarski(k9_relat_1(sF20,X0),k1_tarski(sK2))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11 ),
inference(superposition,[],[f414,f1034]) ).
fof(f1187,plain,
( ! [X0] :
( v1_funct_2(k2_funcop_1(X0,sK2),X0,sF23)
| v1_xboole_0(sF23)
| ~ m1_subset_1(sK2,sF23) )
| ~ spl24_11 ),
inference(superposition,[],[f309,f649]) ).
fof(f1188,plain,
( ! [X0] :
( v1_funct_2(k2_funcop_1(X0,sK2),X0,sF23)
| ~ m1_subset_1(sK2,sF23) )
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f1187,f652]) ).
fof(f1189,plain,
( ! [X0] : v1_funct_2(k2_funcop_1(X0,sK2),X0,sF23)
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f1188,f430]) ).
fof(f1195,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(X1,sF21) ),
inference(superposition,[],[f411,f426]) ).
fof(f1196,plain,
( ! [X0] :
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,sF22)
| v1_xboole_0(X0)
| m1_subset_1(sK7(sK0,X0),X0) )
| ~ spl24_4 ),
inference(resolution,[],[f326,f1110]) ).
fof(f1197,plain,
( ! [X0] :
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,sF22)
| v1_xboole_0(X0)
| m1_subset_1(sK7(sK0,X0),sF21) )
| ~ spl24_4 ),
inference(resolution,[],[f326,f850]) ).
fof(f1198,plain,
( ! [X0] :
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),sF21) )
| ~ spl24_4 ),
inference(duplicate_literal_removal,[],[f1197]) ).
fof(f1199,plain,
( ! [X0] :
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),X0) )
| ~ spl24_4 ),
inference(duplicate_literal_removal,[],[f1196]) ).
fof(f1200,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),sF21) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f1198,f240]) ).
fof(f1201,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),X0) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f1199,f240]) ).
fof(f1202,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),sF21) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f1200,f452]) ).
fof(f1203,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),X0) )
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f1201,f452]) ).
fof(f1204,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),sF21) )
| ~ spl24_4 ),
inference(forward_demodulation,[],[f1202,f424]) ).
fof(f1205,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),X0) )
| ~ spl24_4 ),
inference(forward_demodulation,[],[f1203,f424]) ).
fof(f1206,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),sF21) )
| ~ spl24_4 ),
inference(forward_demodulation,[],[f1204,f426]) ).
fof(f1207,plain,
( ! [X0] :
( m1_subset_1(sK7(sK0,X0),sF21)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF22) )
| ~ spl24_4 ),
inference(duplicate_literal_removal,[],[f1206]) ).
fof(f1208,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF22)
| m1_subset_1(sK7(sK0,X0),X0) )
| ~ spl24_4 ),
inference(forward_demodulation,[],[f1205,f426]) ).
fof(f1209,plain,
( ! [X0] :
( m1_subset_1(sK7(sK0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF22) )
| ~ spl24_4 ),
inference(duplicate_literal_removal,[],[f1208]) ).
fof(f1213,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| v1_xboole_0(X0)
| k1_tarski(sK7(sK0,X0)) = k1_struct_0(sK0,sK7(sK0,X0)) )
| ~ spl24_4 ),
inference(resolution,[],[f1207,f544]) ).
fof(f1245,plain,
( ! [X0] :
( ~ r1_tarski(k1_tarski(sK2),k9_relat_1(sF20,X0))
| k1_tarski(sK2) = k9_relat_1(sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11 ),
inference(resolution,[],[f1179,f298]) ).
fof(f1592,plain,
( ! [X0] :
( k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sF20)
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(superposition,[],[f302,f955]) ).
fof(f1595,plain,
( ! [X0] :
( k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1592,f538]) ).
fof(f1597,plain,
( ! [X0] :
( k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1595,f244]) ).
fof(f1599,plain,
( ! [X0] :
( k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1597,f241]) ).
fof(f1601,plain,
( ! [X0] :
( k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1599,f240]) ).
fof(f1603,plain,
( ! [X0] :
( k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1601,f239]) ).
fof(f1605,plain,
( ! [X0] :
( k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f1603,f977]) ).
fof(f1607,plain,
( ! [X0] :
( ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f1605,f977]) ).
fof(f1609,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f1607,f424]) ).
fof(f1611,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ v1_funct_2(sF20,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f1609,f426]) ).
fof(f1613,plain,
( ! [X0] :
( ~ v1_funct_2(sF20,u1_struct_0(sK0),sF23)
| ~ m1_subset_1(X0,sF22)
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f1611,f429]) ).
fof(f1615,plain,
( ! [X0] :
( ~ v1_funct_2(sF20,sF21,sF23)
| ~ m1_subset_1(X0,sF22)
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f1613,f424]) ).
fof(f1617,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF22)
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0)
| ~ m2_relset_1(sF20,u1_struct_0(sK0),u1_struct_0(sK1)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1615,f457]) ).
fof(f1619,plain,
( ! [X0] :
( ~ m2_relset_1(sF20,u1_struct_0(sK0),sF23)
| ~ m1_subset_1(X0,sF22)
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f1617,f429]) ).
fof(f1621,plain,
( ! [X0] :
( ~ m2_relset_1(sF20,sF21,sF23)
| ~ m1_subset_1(X0,sF22)
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_demodulation,[],[f1619,f424]) ).
fof(f1622,plain,
( ! [X0] :
( k1_funct_1(sF20,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ m1_subset_1(X0,sF22)
| r3_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(forward_subsumption_resolution,[],[f1621,f532]) ).
fof(f1647,plain,
! [X2,X0,X1] :
( m1_relset_1(k1_borsuk_1(X0,X2,X1),X2,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f308,f396]) ).
fof(f1659,plain,
( ! [X0] :
( m2_relset_1(k2_funcop_1(X0,sK2),X0,sF23)
| v1_xboole_0(sF23)
| ~ m1_subset_1(sK2,sF23) )
| ~ spl24_11 ),
inference(superposition,[],[f308,f649]) ).
fof(f1660,plain,
( ! [X0] :
( m2_relset_1(k2_funcop_1(X0,sK2),X0,sF23)
| ~ m1_subset_1(sK2,sF23) )
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f1659,f652]) ).
fof(f1671,plain,
( ! [X0] : m2_relset_1(k2_funcop_1(X0,sK2),X0,sF23)
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f1660,f430]) ).
fof(f1688,plain,
( ! [X0] : m1_relset_1(k2_funcop_1(X0,sK2),X0,sF23)
| ~ spl24_11
| spl24_12 ),
inference(resolution,[],[f1671,f396]) ).
fof(f2022,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,X2)
| k1_xboole_0 = sF23
| ~ v1_funct_1(k2_funcop_1(X1,sK2))
| ~ v1_funct_2(k2_funcop_1(X1,sK2),X1,sF23)
| r2_hidden(k1_funct_1(k2_funcop_1(X1,sK2),X0),k9_relat_1(k2_funcop_1(X1,sK2),X2)) )
| ~ spl24_11
| spl24_12 ),
inference(resolution,[],[f419,f1671]) ).
fof(f2025,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,X2)
| k1_xboole_0 = sF23
| ~ v1_funct_2(k2_funcop_1(X1,sK2),X1,sF23)
| r2_hidden(k1_funct_1(k2_funcop_1(X1,sK2),X0),k9_relat_1(k2_funcop_1(X1,sK2),X2)) )
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f2022,f1101]) ).
fof(f2038,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,X2)
| k1_xboole_0 = sF23
| r2_hidden(k1_funct_1(k2_funcop_1(X1,sK2),X0),k9_relat_1(k2_funcop_1(X1,sK2),X2)) )
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f2025,f1189]) ).
fof(f2050,definition,
( spl24_56
<=> k1_xboole_0 = sF23 ),
introduced(definition,[new_symbols(definition,[spl24_56])],[avatar_definition]) ).
fof(f2052,plain,
( k1_xboole_0 = sF23
| ~ spl24_56 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2079,definition,
( spl24_63
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| r2_hidden(k1_funct_1(k2_funcop_1(X1,sK2),X0),k9_relat_1(k2_funcop_1(X1,sK2),X2))
| ~ r2_hidden(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl24_63])],[avatar_definition]) ).
fof(f2080,plain,
( ! [X2,X0,X1] :
( r2_hidden(k1_funct_1(k2_funcop_1(X1,sK2),X0),k9_relat_1(k2_funcop_1(X1,sK2),X2))
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,X2) )
| ~ spl24_63 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2081,plain,
( spl24_56
| spl24_63
| ~ spl24_11
| spl24_12 ),
inference(avatar_split_clause,[],[f2038,f651,f648,f2079,f2050]) ).
fof(f2370,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_1(k2_funcop_1(X0,sK2))
| ~ v1_funct_2(k2_funcop_1(X0,sK2),X0,sF23)
| k1_funct_1(k2_funcop_1(X0,sK2),X1) = k7_yellow_2(X0,sK1,k2_funcop_1(X0,sK2),X1)
| ~ m1_subset_1(X1,X0) )
| ~ spl24_3
| ~ spl24_11
| spl24_12 ),
inference(resolution,[],[f1688,f677]) ).
fof(f2389,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_funct_2(k2_funcop_1(X0,sK2),X0,sF23)
| k1_funct_1(k2_funcop_1(X0,sK2),X1) = k7_yellow_2(X0,sK1,k2_funcop_1(X0,sK2),X1)
| ~ m1_subset_1(X1,X0) )
| ~ spl24_3
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f2370,f1101]) ).
fof(f2396,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| k1_funct_1(k2_funcop_1(X0,sK2),X1) = k7_yellow_2(X0,sK1,k2_funcop_1(X0,sK2),X1)
| v1_xboole_0(X0) )
| ~ spl24_3
| ~ spl24_11
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f2389,f1189]) ).
fof(f2600,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| v1_xboole_0(sF23)
| ~ v1_funct_1(k1_borsuk_1(sF23,sF21,X0))
| ~ v1_funct_2(k1_borsuk_1(sF23,sF21,X0),sF21,sF23)
| k1_funct_1(k1_borsuk_1(sF23,sF21,X0),X1) = k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,X0),X1)
| ~ m1_subset_1(X1,sF21) )
| ~ spl24_3
| ~ spl24_4 ),
inference(resolution,[],[f1647,f951]) ).
fof(f2609,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| v1_xboole_0(sF23)
| ~ v1_funct_2(k1_borsuk_1(sF23,sF21,X0),sF21,sF23)
| k1_funct_1(k1_borsuk_1(sF23,sF21,X0),X1) = k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,X0),X1)
| ~ m1_subset_1(X1,sF21) )
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f2600,f310]) ).
fof(f2631,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| v1_xboole_0(sF23)
| k1_funct_1(k1_borsuk_1(sF23,sF21,X0),X1) = k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,X0),X1)
| ~ m1_subset_1(X1,sF21) )
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f2609,f309]) ).
fof(f2653,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF21)
| k1_funct_1(k1_borsuk_1(sF23,sF21,X0),X1) = k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,X0),X1)
| ~ m1_subset_1(X0,sF23) )
| ~ spl24_3
| ~ spl24_4
| spl24_12 ),
inference(forward_subsumption_resolution,[],[f2631,f652]) ).
fof(f2841,plain,
( ! [X0,X1] : k1_funct_1(k2_funcop_1(sF21,X0),k1_yellow_0(sK0,X1)) = X0
| spl24_16 ),
inference(resolution,[],[f1145,f399]) ).
fof(f2879,plain,
( ! [X0,X1] : k1_funct_1(k2_funcop_1(sF21,X0),k2_yellow_0(sK0,X1)) = X0
| spl24_16 ),
inference(resolution,[],[f1148,f399]) ).
fof(f3099,plain,
( ~ v1_xboole_0(k1_xboole_0)
| spl24_12
| ~ spl24_56 ),
inference(superposition,[],[f652,f2052]) ).
fof(f3100,plain,
( $false
| spl24_12
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f3099,f355]) ).
fof(f3101,plain,
( spl24_12
| ~ spl24_56 ),
inference(avatar_contradiction_clause,[],[f3100]) ).
fof(f3423,definition,
( spl24_89
<=> m1_subset_1(sK7(sK0,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl24_89])],[avatar_definition]) ).
fof(f3424,plain,
( m1_subset_1(sK7(sK0,sK3),sK3)
| ~ spl24_89 ),
inference(avatar_component_clause,[],[f3423]) ).
fof(f3425,plain,
( ~ m1_subset_1(sK7(sK0,sK3),sK3)
| spl24_89 ),
inference(avatar_component_clause,[],[f3423]) ).
fof(f3442,plain,
( v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,sF22)
| ~ spl24_4
| spl24_89 ),
inference(resolution,[],[f3425,f1209]) ).
fof(f3443,plain,
( ~ m1_subset_1(sK3,sF22)
| ~ spl24_4
| spl24_89 ),
inference(forward_subsumption_resolution,[],[f3442,f247]) ).
fof(f3444,plain,
( $false
| ~ spl24_4
| spl24_89 ),
inference(forward_subsumption_resolution,[],[f3443,f427]) ).
fof(f3445,plain,
( ~ spl24_4
| spl24_89 ),
inference(avatar_contradiction_clause,[],[f3444]) ).
fof(f3448,plain,
( r2_hidden(sK7(sK0,sK3),sK3)
| v1_xboole_0(sK3)
| ~ spl24_89 ),
inference(resolution,[],[f3424,f401]) ).
fof(f3451,plain,
( r2_hidden(sK7(sK0,sK3),sK3)
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f3448,f247]) ).
fof(f3503,plain,
( ~ m1_subset_1(sK3,sF22)
| m1_subset_1(sK7(sK0,sK3),sF21)
| ~ spl24_89 ),
inference(resolution,[],[f3451,f1195]) ).
fof(f3505,plain,
( m1_subset_1(sK7(sK0,sK3),sF21)
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f3503,f427]) ).
fof(f3650,plain,
( v1_xboole_0(sK3)
| k1_tarski(sK7(sK0,sK3)) = k1_struct_0(sK0,sK7(sK0,sK3))
| ~ spl24_4 ),
inference(resolution,[],[f1213,f427]) ).
fof(f3653,plain,
( k1_tarski(sK7(sK0,sK3)) = k1_struct_0(sK0,sK7(sK0,sK3))
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f3650,f247]) ).
fof(f3657,plain,
( m1_subset_1(k1_tarski(sK7(sK0,sK3)),sF22)
| ~ m1_subset_1(sK7(sK0,sK3),sF21)
| ~ spl24_4 ),
inference(superposition,[],[f895,f3653]) ).
fof(f4052,plain,
( ! [X0] :
( ~ r2_hidden(sK2,k9_relat_1(sF20,X0))
| k1_tarski(sK2) = k9_relat_1(sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11 ),
inference(resolution,[],[f403,f1245]) ).
fof(f4323,plain,
( m1_subset_1(k1_tarski(sK7(sK0,sK3)),sF22)
| ~ spl24_4
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f3657,f3505]) ).
fof(f4348,plain,
( r2_hidden(sK7(sK0,sK3),sF21)
| v1_xboole_0(sF21)
| ~ spl24_89 ),
inference(resolution,[],[f3505,f401]) ).
fof(f4352,plain,
( r2_hidden(sK7(sK0,sK3),sF21)
| spl24_16
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f4348,f709]) ).
fof(f4438,plain,
( k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))) = k7_yellow_2(sF22,sK1,k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))
| v1_xboole_0(sF22)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| ~ spl24_89 ),
inference(resolution,[],[f4323,f2396]) ).
fof(f4439,plain,
( r2_hidden(k1_tarski(sK7(sK0,sK3)),sF22)
| v1_xboole_0(sF22)
| ~ spl24_4
| ~ spl24_89 ),
inference(resolution,[],[f4323,f401]) ).
fof(f4592,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,X0),k2_yellow_0(sK0,X1)) = k1_funct_1(k1_borsuk_1(sF23,sF21,X0),k2_yellow_0(sK0,X1)) )
| ~ spl24_3
| ~ spl24_4
| spl24_12 ),
inference(resolution,[],[f2653,f779]) ).
fof(f4594,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF23)
| k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,X0),k1_yellow_0(sK0,X1)) = k1_funct_1(k1_borsuk_1(sF23,sF21,X0),k1_yellow_0(sK0,X1)) )
| ~ spl24_3
| ~ spl24_4
| spl24_12 ),
inference(resolution,[],[f2653,f697]) ).
fof(f6009,plain,
( ! [X0] : k1_funct_1(k2_funcop_1(sF21,X0),sK7(sK0,sK3)) = X0
| spl24_16
| ~ spl24_89 ),
inference(resolution,[],[f4352,f399]) ).
fof(f8682,plain,
( r2_hidden(k1_tarski(sK7(sK0,sK3)),sF22)
| ~ spl24_4
| spl24_14
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f4439,f660]) ).
fof(f8683,plain,
( k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))) = k7_yellow_2(sF22,sK1,k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f4438,f660]) ).
fof(f8777,definition,
( spl24_215
<=> k1_xboole_0 = sF22 ),
introduced(definition,[new_symbols(definition,[spl24_215])],[avatar_definition]) ).
fof(f8778,plain,
( k1_xboole_0 != sF22
| spl24_215 ),
inference(avatar_component_clause,[],[f8777]) ).
fof(f8779,plain,
( k1_xboole_0 = sF22
| ~ spl24_215 ),
inference(avatar_component_clause,[],[f8777]) ).
fof(f8784,plain,
( m1_subset_1(sK3,k1_xboole_0)
| ~ spl24_215 ),
inference(superposition,[],[f427,f8779]) ).
fof(f8915,plain,
( m1_subset_1(k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))),sF23)
| v1_xboole_0(sF22)
| ~ v1_funct_1(k2_funcop_1(sF22,sK2))
| ~ v1_funct_2(k2_funcop_1(sF22,sK2),sF22,sF23)
| ~ m1_relset_1(k2_funcop_1(sF22,sK2),sF22,sF23)
| ~ m1_subset_1(k1_tarski(sK7(sK0,sK3)),sF22)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(superposition,[],[f1097,f8683]) ).
fof(f8922,plain,
( m1_subset_1(k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))),sF23)
| ~ v1_funct_1(k2_funcop_1(sF22,sK2))
| ~ v1_funct_2(k2_funcop_1(sF22,sK2),sF22,sF23)
| ~ m1_relset_1(k2_funcop_1(sF22,sK2),sF22,sF23)
| ~ m1_subset_1(k1_tarski(sK7(sK0,sK3)),sF22)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f8915,f660]) ).
fof(f8926,plain,
( m1_subset_1(k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))),sF23)
| ~ v1_funct_2(k2_funcop_1(sF22,sK2),sF22,sF23)
| ~ m1_relset_1(k2_funcop_1(sF22,sK2),sF22,sF23)
| ~ m1_subset_1(k1_tarski(sK7(sK0,sK3)),sF22)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f8922,f1101]) ).
fof(f8930,plain,
( m1_subset_1(k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))),sF23)
| ~ m1_relset_1(k2_funcop_1(sF22,sK2),sF22,sF23)
| ~ m1_subset_1(k1_tarski(sK7(sK0,sK3)),sF22)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f8926,f1189]) ).
fof(f8934,plain,
( m1_subset_1(k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))),sF23)
| ~ m1_subset_1(k1_tarski(sK7(sK0,sK3)),sF22)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f8930,f1688]) ).
fof(f8938,plain,
( m1_subset_1(k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))),sF23)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f8934,f4323]) ).
fof(f8993,plain,
( ! [X0] :
( v1_xboole_0(sF23)
| k1_borsuk_1(sF23,X0,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))) = k2_funcop_1(X0,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(resolution,[],[f8938,f389]) ).
fof(f9000,plain,
( ! [X0] : k1_borsuk_1(sF23,X0,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))) = k2_funcop_1(X0,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f8993,f652]) ).
fof(f9011,plain,
( ! [X0] : k1_funct_1(k2_funcop_1(sF22,X0),k1_tarski(sK7(sK0,sK3))) = X0
| ~ spl24_4
| spl24_14
| ~ spl24_89 ),
inference(resolution,[],[f8682,f399]) ).
fof(f12888,plain,
( ! [X0,X1] : k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,k1_yellow_0(sK1,X0)),k1_yellow_0(sK0,X1)) = k1_funct_1(k1_borsuk_1(sF23,sF21,k1_yellow_0(sK1,X0)),k1_yellow_0(sK0,X1))
| ~ spl24_3
| ~ spl24_4
| spl24_12 ),
inference(resolution,[],[f4594,f696]) ).
fof(f12896,plain,
( ! [X0] : k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k1_yellow_0(sK0,X0)) = k1_funct_1(k1_borsuk_1(sF23,sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(resolution,[],[f4594,f8938]) ).
fof(f12908,plain,
( ! [X0] : k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k1_yellow_0(sK0,X0)) = k1_funct_1(k2_funcop_1(sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_demodulation,[],[f12896,f9000]) ).
fof(f12915,plain,
( ! [X0,X1] : k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,k1_yellow_0(sK1,X0)),k1_yellow_0(sK0,X1)) = k1_funct_1(k2_funcop_1(sF21,k1_yellow_0(sK1,X0)),k1_yellow_0(sK0,X1))
| ~ spl24_3
| ~ spl24_4
| spl24_12 ),
inference(forward_demodulation,[],[f12888,f1003]) ).
fof(f12921,plain,
( ! [X0] : k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))) = k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(forward_demodulation,[],[f12908,f2841]) ).
fof(f12928,plain,
( ! [X0,X1] : k1_yellow_0(sK1,X0) = k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,k1_yellow_0(sK1,X0)),k1_yellow_0(sK0,X1))
| ~ spl24_3
| ~ spl24_4
| spl24_12
| spl24_16 ),
inference(forward_demodulation,[],[f12915,f2841]) ).
fof(f12931,plain,
( ! [X0] : sK2 = k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,sK2),k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(forward_demodulation,[],[f12921,f9011]) ).
fof(f12934,plain,
( ! [X0] : sK2 = k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(forward_demodulation,[],[f12931,f1034]) ).
fof(f12935,plain,
( ! [X0] : sK2 = k1_funct_1(sF20,k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(forward_demodulation,[],[f12934,f956]) ).
fof(f12936,plain,
( ! [X0] :
( sK2 != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ m1_subset_1(X0,sF22)
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(superposition,[],[f992,f12935]) ).
fof(f13550,plain,
( ! [X0,X1] : k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,k1_yellow_0(sK1,X0)),k2_yellow_0(sK0,X1)) = k1_funct_1(k1_borsuk_1(sF23,sF21,k1_yellow_0(sK1,X0)),k2_yellow_0(sK0,X1))
| ~ spl24_3
| ~ spl24_4
| spl24_12 ),
inference(resolution,[],[f4592,f696]) ).
fof(f13559,plain,
( ! [X0] : k1_waybel_0(sK0,sK1,k1_borsuk_1(sF23,sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k2_yellow_0(sK0,X0)) = k1_funct_1(k1_borsuk_1(sF23,sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(resolution,[],[f4592,f8938]) ).
fof(f13571,plain,
( ! [X0] : k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k2_yellow_0(sK0,X0)) = k1_funct_1(k2_funcop_1(sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| ~ spl24_89 ),
inference(forward_demodulation,[],[f13559,f9000]) ).
fof(f13578,plain,
( ! [X0,X1] : k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,k1_yellow_0(sK1,X0)),k2_yellow_0(sK0,X1)) = k1_funct_1(k2_funcop_1(sF21,k1_yellow_0(sK1,X0)),k2_yellow_0(sK0,X1))
| ~ spl24_3
| ~ spl24_4
| spl24_12 ),
inference(forward_demodulation,[],[f13550,f1003]) ).
fof(f13584,plain,
( ! [X0] : k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3))) = k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,k1_funct_1(k2_funcop_1(sF22,sK2),k1_tarski(sK7(sK0,sK3)))),k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(forward_demodulation,[],[f13571,f2879]) ).
fof(f13591,plain,
( ! [X0,X1] : k1_yellow_0(sK1,X0) = k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,k1_yellow_0(sK1,X0)),k2_yellow_0(sK0,X1))
| ~ spl24_3
| ~ spl24_4
| spl24_12
| spl24_16 ),
inference(forward_demodulation,[],[f13578,f2879]) ).
fof(f13594,plain,
( ! [X0] : sK2 = k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,sK2),k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(forward_demodulation,[],[f13584,f9011]) ).
fof(f13598,plain,
( ! [X0] : sK2 = k1_waybel_0(sK0,sK1,sF20,k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(forward_demodulation,[],[f13594,f1034]) ).
fof(f13600,plain,
( ! [X0] : sK2 = k1_funct_1(sF20,k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(forward_demodulation,[],[f13598,f955]) ).
fof(f13603,plain,
( ! [X0] :
( sK2 != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ m1_subset_1(X0,sF22)
| r3_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_89 ),
inference(superposition,[],[f1622,f13600]) ).
fof(f16834,plain,
( ! [X0] : sK2 = k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,sK2),k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| spl24_12
| spl24_16 ),
inference(superposition,[],[f12928,f818]) ).
fof(f16847,plain,
( ! [X0] : sK2 = k1_waybel_0(sK0,sK1,sF20,k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_16 ),
inference(forward_demodulation,[],[f16834,f1034]) ).
fof(f16854,plain,
( ! [X0] : sK2 = k1_funct_1(sF20,k1_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16 ),
inference(forward_demodulation,[],[f16847,f956]) ).
fof(f17122,plain,
( ! [X0] : sK2 = k1_waybel_0(sK0,sK1,k2_funcop_1(sF21,sK2),k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| spl24_12
| spl24_16 ),
inference(superposition,[],[f13591,f818]) ).
fof(f17137,plain,
( ! [X0] : sK2 = k1_waybel_0(sK0,sK1,sF20,k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_12
| spl24_16 ),
inference(forward_demodulation,[],[f17122,f1034]) ).
fof(f17146,plain,
( ! [X0] : sK2 = k1_funct_1(sF20,k2_yellow_0(sK0,X0))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16 ),
inference(forward_demodulation,[],[f17137,f955]) ).
fof(f23046,plain,
( ! [X0] :
( r2_hidden(sK2,k9_relat_1(k2_funcop_1(sF21,sK2),X0))
| ~ r2_hidden(sK7(sK0,sK3),sF21)
| ~ r2_hidden(sK7(sK0,sK3),X0) )
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(superposition,[],[f2080,f6009]) ).
fof(f23049,plain,
( ! [X0] :
( r2_hidden(sK2,k9_relat_1(k2_funcop_1(sF21,sK2),X0))
| ~ r2_hidden(sK7(sK0,sK3),X0) )
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f23046,f4352]) ).
fof(f23051,plain,
( ! [X0] :
( ~ r2_hidden(sK7(sK0,sK3),X0)
| r2_hidden(sK2,k9_relat_1(sF20,X0)) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_demodulation,[],[f23049,f1034]) ).
fof(f23086,plain,
( r2_hidden(sK2,k9_relat_1(sF20,sK3))
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(resolution,[],[f23051,f3451]) ).
fof(f23091,plain,
( k1_tarski(sK2) = k9_relat_1(sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_11
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(resolution,[],[f23086,f4052]) ).
fof(f23117,plain,
( sK2 != k1_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK3,sF22)
| ~ r1_yellow_0(sK1,k1_tarski(sK2))
| r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(superposition,[],[f12936,f23091]) ).
fof(f23118,plain,
( sK2 != k2_yellow_0(sK1,k1_tarski(sK2))
| ~ r2_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK3,sF22)
| r3_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(superposition,[],[f13603,f23091]) ).
fof(f23119,plain,
( ~ r2_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK3,sF22)
| r3_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f23118,f819]) ).
fof(f23120,plain,
( ~ m1_subset_1(sK3,sF22)
| ~ r1_yellow_0(sK1,k1_tarski(sK2))
| r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f23117,f818]) ).
fof(f23122,plain,
( ~ m1_subset_1(sK3,sF22)
| r3_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f23119,f833]) ).
fof(f23123,plain,
( ~ r1_yellow_0(sK1,k1_tarski(sK2))
| r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f23120,f427]) ).
fof(f23124,plain,
( r3_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f23122,f427]) ).
fof(f23125,plain,
( r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f23123,f832]) ).
fof(f23126,plain,
( $false
| spl24_1
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f23124,f434]) ).
fof(f23127,plain,
( spl24_1
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(avatar_contradiction_clause,[],[f23126]) ).
fof(f23128,plain,
( spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(avatar_split_clause,[],[f23125,f3423,f2079,f708,f659,f651,f648,f455,f451,f447,f436]) ).
fof(f23394,plain,
( k1_xboole_0 = sF22
| ~ spl24_14 ),
inference(resolution,[],[f661,f413]) ).
fof(f23396,plain,
( $false
| ~ spl24_14
| spl24_215 ),
inference(forward_subsumption_resolution,[],[f23394,f8778]) ).
fof(f23397,plain,
( ~ spl24_14
| spl24_215 ),
inference(avatar_contradiction_clause,[],[f23396]) ).
fof(f23508,plain,
( ! [X0] :
( sK2 != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ m1_subset_1(X0,sF22)
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16 ),
inference(superposition,[],[f992,f16854]) ).
fof(f23523,plain,
( ! [X0] :
( sK2 != k1_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ m1_subset_1(X0,k1_xboole_0)
| ~ r1_yellow_0(sK1,k9_relat_1(sF20,X0))
| r4_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_215 ),
inference(forward_demodulation,[],[f23508,f8779]) ).
fof(f23528,plain,
( ! [X0] :
( sK2 != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ m1_subset_1(X0,sF22)
| r3_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16 ),
inference(superposition,[],[f1622,f17146]) ).
fof(f23540,plain,
( ! [X0] :
( sK2 != k2_yellow_0(sK1,k9_relat_1(sF20,X0))
| ~ m1_subset_1(X0,k1_xboole_0)
| ~ r2_yellow_0(sK1,k9_relat_1(sF20,X0))
| r3_waybel_0(sK0,sK1,sF20,X0) )
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_215 ),
inference(forward_demodulation,[],[f23528,f8779]) ).
fof(f23841,plain,
( sK2 != k1_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK3,k1_xboole_0)
| ~ r1_yellow_0(sK1,k1_tarski(sK2))
| r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(superposition,[],[f23523,f23091]) ).
fof(f23842,plain,
( ~ m1_subset_1(sK3,k1_xboole_0)
| ~ r1_yellow_0(sK1,k1_tarski(sK2))
| r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(forward_subsumption_resolution,[],[f23841,f818]) ).
fof(f23843,plain,
( ~ r1_yellow_0(sK1,k1_tarski(sK2))
| r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(forward_subsumption_resolution,[],[f23842,f8784]) ).
fof(f23844,plain,
( r4_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(forward_subsumption_resolution,[],[f23843,f832]) ).
fof(f23845,plain,
( $false
| spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(forward_subsumption_resolution,[],[f23844,f438]) ).
fof(f23846,plain,
( spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(avatar_contradiction_clause,[],[f23845]) ).
fof(f24308,plain,
( sK2 != k2_yellow_0(sK1,k1_tarski(sK2))
| ~ m1_subset_1(sK3,k1_xboole_0)
| ~ r2_yellow_0(sK1,k1_tarski(sK2))
| r3_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(superposition,[],[f23540,f23091]) ).
fof(f24313,plain,
( ~ m1_subset_1(sK3,k1_xboole_0)
| ~ r2_yellow_0(sK1,k1_tarski(sK2))
| r3_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(forward_subsumption_resolution,[],[f24308,f819]) ).
fof(f24316,plain,
( ~ r2_yellow_0(sK1,k1_tarski(sK2))
| r3_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(forward_subsumption_resolution,[],[f24313,f8784]) ).
fof(f24319,plain,
( r3_waybel_0(sK0,sK1,sF20,sK3)
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(forward_subsumption_resolution,[],[f24316,f833]) ).
fof(f24320,plain,
( $false
| spl24_1
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(forward_subsumption_resolution,[],[f24319,f434]) ).
fof(f24321,plain,
( spl24_1
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(avatar_contradiction_clause,[],[f24320]) ).
cnf(s1,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(sat_conversion,[],[f439]) ).
cnf(s2,plain,
( ~ spl24_3
| ~ spl24_4
| spl24_5 ),
inference(sat_conversion,[],[f458]) ).
cnf(s6,plain,
spl24_4,
inference(sat_conversion,[],[f510]) ).
cnf(s7,plain,
spl24_3,
inference(sat_conversion,[],[f512]) ).
cnf(s8,plain,
( spl24_11
| spl24_12 ),
inference(sat_conversion,[],[f654]) ).
cnf(s12,plain,
( ~ spl24_3
| ~ spl24_12 ),
inference(sat_conversion,[],[f756]) ).
cnf(s13,plain,
( ~ spl24_4
| ~ spl24_16 ),
inference(sat_conversion,[],[f757]) ).
cnf(s47,plain,
( ~ spl24_11
| spl24_12
| spl24_56
| spl24_63 ),
inference(sat_conversion,[],[f2081]) ).
cnf(s63,plain,
( spl24_12
| ~ spl24_56 ),
inference(sat_conversion,[],[f3101]) ).
cnf(s77,plain,
( ~ spl24_4
| spl24_89 ),
inference(sat_conversion,[],[f3445]) ).
cnf(s429,plain,
( spl24_1
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(sat_conversion,[],[f23127]) ).
cnf(s430,plain,
( spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_14
| spl24_16
| ~ spl24_63
| ~ spl24_89 ),
inference(sat_conversion,[],[f23128]) ).
cnf(s436,plain,
( ~ spl24_14
| spl24_215 ),
inference(sat_conversion,[],[f23397]) ).
cnf(s452,plain,
( spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(sat_conversion,[],[f23846]) ).
cnf(s458,plain,
( spl24_1
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_11
| spl24_12
| spl24_16
| ~ spl24_63
| ~ spl24_89
| ~ spl24_215 ),
inference(sat_conversion,[],[f24321]) ).
cnf(s471,plain,
~ spl24_12,
inference(rat,[],[s12,s7]) ).
cnf(s473,plain,
~ spl24_56,
inference(rat,[],[s63,s471]) ).
cnf(s481,plain,
spl24_11,
inference(rat,[],[s8,s471]) ).
cnf(s491,plain,
spl24_63,
inference(rat,[],[s47,s471,s473,s481]) ).
cnf(s495,plain,
spl24_89,
inference(rat,[],[s77,s6]) ).
cnf(s497,plain,
~ spl24_16,
inference(rat,[],[s13,s6]) ).
cnf(s511,plain,
spl24_5,
inference(rat,[],[s2,s6,s7]) ).
cnf(s516,plain,
spl24_1,
inference(rat,[],[s436,s429,s458,s7,s6,s481,s471,s511,s497,s491,s495]) ).
cnf(s517,plain,
~ spl24_2,
inference(rat,[],[s1,s516]) ).
cnf(s518,plain,
~ spl24_215,
inference(rat,[],[s452,s511,s495,s491,s497,s471,s481,s6,s7,s517]) ).
cnf(s519,plain,
spl24_14,
inference(rat,[],[s430,s495,s491,s497,s511,s471,s481,s6,s7,s517]) ).
cnf(s520,plain,
$false,
inference(rat,[],[s436,s518,s519]) ).
fof(f24322,plain,
$false,
inference(avatar_sat_refutation,[],[s520]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT371+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:12:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.95/2.47 % (3682676)Detected formulas, will run a generic FOF schedule.
% 10.95/2.47 % (3682685)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2734901230:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.95/2.47 % (3682687)dis-21_1_sil=8000:lcm=predicate:random_seed=3704156220:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.95/2.47 % (3682681)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=505746751:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.95/2.47 % (3682684)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1305663933:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.95/2.47 % (3682682)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=4019653677:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.95/2.47 % (3682683)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=1746985530:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.95/2.47 % (3682684)Refutation not found, incomplete strategy
% 10.95/2.47 % (3682684)------------------------------
% 10.95/2.47 % (3682684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.47 % (3682684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.47 % (3682684)CaDiCaL version: 2.1.3
% 10.95/2.47 % (3682684)Termination reason: Refutation not found, incomplete strategy
% 10.95/2.47 % (3682684)Time elapsed: 0.004 s
% 10.95/2.47 % (3682684)Peak memory usage: 88 MB
% 10.95/2.47 % (3682684)Instructions burned: 3 (million)
% 10.95/2.47 % (3682685)Instruction limit reached!
% 10.95/2.47 % (3682685)------------------------------
% 10.95/2.47 % (3682685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.47 % (3682685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.47 % (3682685)CaDiCaL version: 2.1.3
% 10.95/2.47 % (3682685)Termination reason: Instruction limit
% 10.95/2.47 % (3682685)Termination phase: Saturation
% 10.95/2.47 % (3682685)Time elapsed: 0.039 s
% 10.95/2.47 % (3682685)Peak memory usage: 88 MB
% 10.95/2.47 % (3682685)Instructions burned: 121 (million)
% 10.95/2.47 % (3682686)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1424996739:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.95/2.47 % (3682687)Instruction limit reached!
% 10.95/2.47 % (3682687)------------------------------
% 10.95/2.47 % (3682687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.47 % (3682687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.47 % (3682687)CaDiCaL version: 2.1.3
% 10.95/2.47 % (3682687)Termination reason: Instruction limit
% 10.95/2.47 % (3682687)Termination phase: Saturation
% 10.95/2.47 % (3682687)Time elapsed: 0.073 s
% 10.95/2.47 % (3682687)Peak memory usage: 91 MB
% 10.95/2.47 % (3682687)Instructions burned: 130 (million)
% 10.95/2.47 % (3682686)Instruction limit reached!
% 10.95/2.47 % (3682686)------------------------------
% 10.95/2.47 % (3682686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.47 % (3682686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.47 % (3682686)CaDiCaL version: 2.1.3
% 10.95/2.47 % (3682686)Termination reason: Instruction limit
% 10.95/2.47 % (3682686)Termination phase: Saturation
% 10.95/2.47 % (3682686)Time elapsed: 0.094 s
% 10.95/2.47 % (3682686)Peak memory usage: 90 MB
% 10.95/2.47 % (3682686)Instructions burned: 139 (million)
% 10.95/2.47 % (3682694)lrs+10_1_sil=8000:sp=occurrence:random_seed=1972774479:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.95/2.47 % (3682696)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2392856014:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.95/2.47 % (3682696)Refutation not found, incomplete strategy
% 10.95/2.47 % (3682696)------------------------------
% 10.95/2.47 % (3682696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.95/2.47 % (3682696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.47 % (3682696)CaDiCaL version: 2.1.3
% 10.95/2.47 % (3682696)Termination reason: Refutation not found, incomplete strategy
% 20.68/3.81 % (3682696)Time elapsed: 0.010 s
% 20.68/3.81 % (3682696)Peak memory usage: 89 MB
% 20.68/3.81 % (3682696)Instructions burned: 15 (million)
% 20.68/3.81 % (3682684)------------------------------
% 20.68/3.81 % (3682684)------------------------------
% 20.68/3.81 % (3682694)Instruction limit reached!
% 20.68/3.81 % (3682694)------------------------------
% 20.68/3.81 % (3682694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.81 % (3682694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.81 % (3682694)CaDiCaL version: 2.1.3
% 20.68/3.81 % (3682694)Termination reason: Instruction limit
% 20.68/3.81 % (3682694)Termination phase: Saturation
% 20.68/3.81 % (3682694)Time elapsed: 0.097 s
% 20.68/3.81 % (3682694)Peak memory usage: 92 MB
% 20.68/3.81 % (3682694)Instructions burned: 286 (million)
% 20.68/3.81 % (3682697)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3763382925:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 20.68/3.81 % (3682701)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1152571506:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.68/3.81 % (3682701)Refutation not found, incomplete strategy
% 20.68/3.81 % (3682701)------------------------------
% 20.68/3.81 % (3682701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.81 % (3682701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.81 % (3682701)CaDiCaL version: 2.1.3
% 20.68/3.81 % (3682701)Termination reason: Refutation not found, incomplete strategy
% 20.68/3.81 % (3682701)Time elapsed: 0.004 s
% 20.68/3.81 % (3682701)Peak memory usage: 88 MB
% 20.68/3.81 % (3682701)Instructions burned: 9 (million)
% 20.68/3.81 % (3682700)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=3769570987:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.68/3.81 % (3682696)------------------------------
% 20.68/3.81 % (3682696)------------------------------
% 20.68/3.81 % (3682697)Instruction limit reached!
% 20.68/3.81 % (3682697)------------------------------
% 20.68/3.81 % (3682697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.81 % (3682697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.82 % (3682697)CaDiCaL version: 2.1.3
% 20.68/3.82 % (3682697)Termination reason: Instruction limit
% 20.68/3.82 % (3682697)Termination phase: Saturation
% 20.68/3.82 % (3682697)Time elapsed: 0.224 s
% 20.68/3.82 % (3682697)Peak memory usage: 93 MB
% 20.68/3.82 % (3682697)Instructions burned: 325 (million)
% 20.68/3.82 % (3682701)------------------------------
% 20.68/3.82 % (3682701)------------------------------
% 20.68/3.82 % (3682700)Instruction limit reached!
% 20.68/3.82 % (3682700)------------------------------
% 20.68/3.82 % (3682700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.82 % (3682700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.82 % (3682700)CaDiCaL version: 2.1.3
% 20.68/3.82 % (3682700)Termination reason: Instruction limit
% 20.68/3.82 % (3682700)Termination phase: Saturation
% 20.68/3.82 % (3682700)Time elapsed: 0.152 s
% 20.68/3.82 % (3682700)Peak memory usage: 91 MB
% 20.68/3.82 % (3682700)Instructions burned: 249 (million)
% 20.68/3.82 % (3682705)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1971050119:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.68/3.82 % (3682706)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1122643097:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.68/3.82 % (3682707)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=824207307:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.68/3.82 % (3682707)Instruction limit reached!
% 20.68/3.82 % (3682707)------------------------------
% 20.68/3.82 % (3682707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.82 % (3682707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.82 % (3682707)CaDiCaL version: 2.1.3
% 20.68/3.82 % (3682707)Termination reason: Instruction limit
% 20.68/3.82 % (3682707)Termination phase: Saturation
% 20.68/3.82 % (3682707)Time elapsed: 0.035 s
% 20.68/3.82 % (3682707)Peak memory usage: 89 MB
% 20.68/3.82 % (3682707)Instructions burned: 128 (million)
% 20.68/3.82 % (3682706)Instruction limit reached!
% 20.68/3.82 % (3682706)------------------------------
% 20.68/3.82 % (3682706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682706)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682706)Termination reason: Instruction limit
% 26.07/4.56 % (3682706)Termination phase: Saturation
% 26.07/4.56 % (3682706)Time elapsed: 0.076 s
% 26.07/4.56 % (3682706)Peak memory usage: 90 MB
% 26.07/4.56 % (3682706)Instructions burned: 113 (million)
% 26.07/4.56 % (3682708)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3965629023:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 26.07/4.56 % (3682708)Instruction limit reached!
% 26.07/4.56 % (3682708)------------------------------
% 26.07/4.56 % (3682708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682708)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682708)Termination reason: Instruction limit
% 26.07/4.56 % (3682708)Termination phase: Saturation
% 26.07/4.56 % (3682708)Time elapsed: 0.072 s
% 26.07/4.56 % (3682708)Peak memory usage: 89 MB
% 26.07/4.56 % (3682708)Instructions burned: 114 (million)
% 26.07/4.56 % (3682712)lrs+10_1_sil=8000:sp=occurrence:random_seed=1283974911:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 26.07/4.56 % (3682714)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2964251999:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 26.07/4.56 % (3682714)Refutation not found, incomplete strategy
% 26.07/4.56 % (3682714)------------------------------
% 26.07/4.56 % (3682714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682714)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682714)Termination reason: Refutation not found, incomplete strategy
% 26.07/4.56 % (3682714)Time elapsed: 0.009 s
% 26.07/4.56 % (3682714)Peak memory usage: 89 MB
% 26.07/4.56 % (3682714)Instructions burned: 13 (million)
% 26.07/4.56 % (3682715)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1944381221:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 26.07/4.56 % (3682712)Instruction limit reached!
% 26.07/4.56 % (3682712)------------------------------
% 26.07/4.56 % (3682712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682712)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682712)Termination reason: Instruction limit
% 26.07/4.56 % (3682712)Termination phase: Saturation
% 26.07/4.56 % (3682712)Time elapsed: 0.291 s
% 26.07/4.56 % (3682712)Peak memory usage: 99 MB
% 26.07/4.56 % (3682712)Instructions burned: 907 (million)
% 26.07/4.56 % (3682714)------------------------------
% 26.07/4.56 % (3682714)------------------------------
% 26.07/4.56 % (3682719)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1731369478:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 26.07/4.56 % (3682719)Instruction limit reached!
% 26.07/4.56 % (3682719)------------------------------
% 26.07/4.56 % (3682719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682719)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682719)Termination reason: Instruction limit
% 26.07/4.56 % (3682719)Termination phase: Saturation
% 26.07/4.56 % (3682719)Time elapsed: 0.044 s
% 26.07/4.56 % (3682719)Peak memory usage: 91 MB
% 26.07/4.56 % (3682719)Instructions burned: 135 (million)
% 26.07/4.56 % (3682720)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1312756400:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 26.07/4.56 % (3682720)Refutation not found, incomplete strategy
% 26.07/4.56 % (3682720)------------------------------
% 26.07/4.56 % (3682720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682720)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682720)Termination reason: Refutation not found, incomplete strategy
% 26.07/4.56 % (3682720)Time elapsed: 0.009 s
% 26.07/4.56 % (3682720)Peak memory usage: 89 MB
% 26.07/4.56 % (3682720)Instructions burned: 13 (million)
% 26.07/4.56 % (3682722)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=840712935:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 26.07/4.56 % (3682720)------------------------------
% 26.07/4.56 % (3682720)------------------------------
% 26.07/4.56 % (3682725)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=1757419896:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 26.07/4.56 % (3682725)Instruction limit reached!
% 26.07/4.56 % (3682725)------------------------------
% 26.07/4.56 % (3682725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682725)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682725)Termination reason: Instruction limit
% 26.07/4.56 % (3682725)Termination phase: Saturation
% 26.07/4.56 % (3682725)Time elapsed: 0.081 s
% 26.07/4.56 % (3682725)Peak memory usage: 91 MB
% 26.07/4.56 % (3682725)Instructions burned: 127 (million)
% 26.07/4.56 % (3682727)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3547465634:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 26.07/4.56 % (3682727)Instruction limit reached!
% 26.07/4.56 % (3682727)------------------------------
% 26.07/4.56 % (3682727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682727)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682727)Termination reason: Instruction limit
% 26.07/4.56 % (3682727)Termination phase: Saturation
% 26.07/4.56 % (3682727)Time elapsed: 0.086 s
% 26.07/4.56 % (3682727)Peak memory usage: 90 MB
% 26.07/4.56 % (3682727)Instructions burned: 135 (million)
% 26.07/4.56 % (3682705)Instruction limit reached!
% 26.07/4.56 % (3682705)------------------------------
% 26.07/4.56 % (3682705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682705)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682705)Termination reason: Instruction limit
% 26.07/4.56 % (3682705)Termination phase: Saturation
% 26.07/4.56 % (3682705)Time elapsed: 1.565 s
% 26.07/4.56 % (3682705)Peak memory usage: 141 MB
% 26.07/4.56 % (3682705)Instructions burned: 2351 (million)
% 26.07/4.56 % (3682729)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2299883491:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 26.07/4.56 % (3682729)Refutation not found, incomplete strategy
% 26.07/4.56 % (3682729)------------------------------
% 26.07/4.56 % (3682729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682729)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682729)Termination reason: Refutation not found, incomplete strategy
% 26.07/4.56 % (3682729)Time elapsed: 0.004 s
% 26.07/4.56 % (3682729)Peak memory usage: 88 MB
% 26.07/4.56 % (3682729)Instructions burned: 5 (million)
% 26.07/4.56 % (3682731)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1243465168:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 26.07/4.56 % (3682729)------------------------------
% 26.07/4.56 % (3682729)------------------------------
% 26.07/4.56 % (3682731)Instruction limit reached!
% 26.07/4.56 % (3682731)------------------------------
% 26.07/4.56 % (3682731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682731)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682731)Termination reason: Instruction limit
% 26.07/4.56 % (3682731)Termination phase: Saturation
% 26.07/4.56 % (3682731)Time elapsed: 0.223 s
% 26.07/4.56 % (3682731)Peak memory usage: 93 MB
% 26.07/4.56 % (3682731)Instructions burned: 433 (million)
% 26.07/4.56 % (3682733)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=260490385:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 26.07/4.56 % (3682734)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=2607835010:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 26.07/4.56 % (3682734)Instruction limit reached!
% 26.07/4.56 % (3682734)------------------------------
% 26.07/4.56 % (3682734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.07/4.56 % (3682734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.07/4.56 % (3682734)CaDiCaL version: 2.1.3
% 26.07/4.56 % (3682734)Termination reason: Instruction limit
% 26.07/4.56 % (3682734)Termination phase: Saturation
% 26.07/4.56 % (3682734)Time elapsed: 0.097 s
% 26.07/4.56 % (3682734)Peak memory usage: 92 MB
% 26.07/4.56 % (3682734)Instructions burned: 150 (million)
% 26.07/4.56 % (3682737)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4164616799:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 26.07/4.56 % (3682681)First to succeed.
% 26.07/4.56 % (3682681)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3682676"
% 26.07/4.56 % (3682681)Refutation found. Thanks to Tanya!
% 26.07/4.56 % SZS status Theorem for theBenchmark
% 26.07/4.56 % SZS output start Proof for theBenchmark
% See solution above
% 26.60/4.67 % (3682681)------------------------------
% 26.60/4.67 % (3682681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.60/4.67 % (3682681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.60/4.67 % (3682681)CaDiCaL version: 2.1.3
% 26.60/4.67 % (3682681)Termination reason: Refutation
% 26.60/4.67 % (3682681)Time elapsed: 3.247 s
% 26.60/4.67 % (3682681)Peak memory usage: 163 MB
% 26.60/4.67 % (3682681)Instructions burned: 4937 (million)
% 26.60/4.67 % (3682681)------------------------------
% 26.60/4.67 % (3682681)------------------------------
% 26.60/4.67 % (3682676)Success in time 3.693 s
% 26.60/4.67 % Vampire exiting
%------------------------------------------------------------------------------