%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT379+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:48:43 AM UTC 2026
% Result : Theorem 15.98s 4.71s
% Output : Refutation 15.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 20
% Syntax : Number of formulae : 190 ( 25 unt; 9 def)
% Number of atoms : 897 ( 30 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1161 ( 454 ~; 578 |; 82 &)
% ( 18 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 10 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 141 ( 0 sgn 135 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [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)) )
=> ( v4_waybel34(X2,X0,X1)
=> ( v20_waybel_0(X2,X0,X1)
& v5_waybel34(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_waybel34) ).
fof(f2,negated_conjecture,
~ ! [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)) )
=> ( v4_waybel34(X2,X0,X1)
=> ( v20_waybel_0(X2,X0,X1)
& v5_waybel34(X2,X0,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
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)) )
=> ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( ( v1_finset_1(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> r4_waybel_0(X0,X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d15_waybel34) ).
fof(f28,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)) )
=> ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_waybel34) ).
fof(f30,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)) )
=> ( v20_waybel_0(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d35_waybel_0) ).
fof(f31,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_struct_0) ).
fof(f37,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f57,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_xboole_0(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_finset_1(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v5_membered(k1_pre_topc(X0))
& v1_waybel_0(k1_pre_topc(X0),X0)
& v2_waybel_0(k1_pre_topc(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_0) ).
fof(f58,axiom,
! [X0,X1] :
( ~ v1_xboole_0(k2_tarski(X0,X1))
& v1_finset_1(k2_tarski(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_finset_1) ).
fof(f74,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_struct_0) ).
fof(f82,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f95,plain,
! [X0] :
( l1_orders_2(X0)
=> ( v1_xboole_0(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_finset_1(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v5_membered(k1_pre_topc(X0))
& v1_waybel_0(k1_pre_topc(X0),X0) ) ),
inference(pure_predicate_removal,[],[f57]) ).
fof(f98,plain,
! [X0] :
( l1_orders_2(X0)
=> ( v1_xboole_0(k1_pre_topc(X0))
& v5_orders_2(k1_pre_topc(X0),X0)
& v1_finset_1(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v5_membered(k1_pre_topc(X0)) ) ),
inference(pure_predicate_removal,[],[f95]) ).
fof(f100,plain,
! [X0] :
( l1_orders_2(X0)
=> ( v1_xboole_0(k1_pre_topc(X0))
& v1_finset_1(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v5_membered(k1_pre_topc(X0)) ) ),
inference(pure_predicate_removal,[],[f98]) ).
fof(f103,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v20_waybel_0(X2,X0,X1)
| ~ v5_waybel34(X2,X0,X1) )
& v4_waybel34(X2,X0,X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f104,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ v20_waybel_0(X2,X0,X1)
| ~ v5_waybel34(X2,X0,X1) )
& v4_waybel34(X2,X0,X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f103]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ v1_finset_1(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(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v4_waybel34(X2,X0,X1)
<=> ! [X3] :
( r4_waybel_0(X0,X1,X2,X3)
| ~ v1_finset_1(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,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(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,[],[f28]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v5_waybel34(X2,X0,X1)
<=> r4_waybel_0(X0,X1,X2,k1_pre_topc(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,[],[f133]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v20_waybel_0(X2,X0,X1)
<=> ! [X3] :
( ! [X4] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,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,[],[f30]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v20_waybel_0(X2,X0,X1)
<=> ! [X3] :
( ! [X4] :
( r4_waybel_0(X0,X1,X2,k2_struct_0(X0,X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,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] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f139,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f140,plain,
! [X0,X1,X2] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f159,plain,
! [X0] :
( ( v1_xboole_0(k1_pre_topc(X0))
& v1_finset_1(k1_pre_topc(X0))
& v1_membered(k1_pre_topc(X0))
& v2_membered(k1_pre_topc(X0))
& v3_membered(k1_pre_topc(X0))
& v4_membered(k1_pre_topc(X0))
& v5_membered(k1_pre_topc(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f170,plain,
! [X0,X1,X2] :
( k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f74]) ).
fof(f171,plain,
! [X0,X1,X2] :
( k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f170]) ).
fof(f179,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f182,plain,
( ~ v5_waybel34(sK2,sK0,sK1)
| ~ v20_waybel_0(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f183,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f104]) ).
fof(f184,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f104]) ).
fof(f185,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f104]) ).
fof(f186,plain,
v4_waybel34(sK2,sK0,sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f187,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f188,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f189,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f190,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( r4_waybel_0(X0,X1,X2,X3)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_finset_1(X3)
| ~ l1_orders_2(X0)
| ~ v4_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,k1_pre_topc(X0))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v5_waybel34(X2,X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f245,plain,
! [X2,X0,X1] :
( m1_subset_1(sK5(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ r4_waybel_0(X0,X1,X2,k2_struct_0(X0,sK4(X0,X1,X2),sK5(X0,X1,X2)))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f248,plain,
! [X2,X0,X1] :
( m1_subset_1(sK4(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v20_waybel_0(X2,X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f249,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f250,plain,
! [X2,X0,X1] :
( m1_subset_1(k2_struct_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f251,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f293,plain,
! [X0] :
( v1_finset_1(k1_pre_topc(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f294,plain,
! [X0] :
( v1_xboole_0(k1_pre_topc(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f295,plain,
! [X0,X1] : v1_finset_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k2_struct_0(X0,X1,X2) = k2_tarski(X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f345,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f179]) ).
fof(f349,definition,
( spl24_1
<=> v20_waybel_0(sK2,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f351,plain,
( ~ v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f353,definition,
( spl24_2
<=> v5_waybel34(sK2,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f356,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f182,f353,f349]) ).
fof(f374,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k1_pre_topc(X0) = k1_xboole_0 ),
inference(resolution,[],[f345,f294]) ).
fof(f401,definition,
( spl24_4
<=> v1_finset_1(k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f403,plain,
( v1_finset_1(k1_xboole_0)
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f457,plain,
k1_xboole_0 = k1_pre_topc(sK1),
inference(resolution,[],[f374,f187]) ).
fof(f458,plain,
k1_xboole_0 = k1_pre_topc(sK0),
inference(resolution,[],[f374,f189]) ).
fof(f471,plain,
( v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK1) ),
inference(superposition,[],[f293,f457]) ).
fof(f473,plain,
v1_finset_1(k1_xboole_0),
inference(forward_subsumption_resolution,[],[f471,f187]) ).
fof(f474,plain,
spl24_4,
inference(avatar_split_clause,[],[f473,f401]) ).
fof(f679,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_struct_0(sK0) ),
inference(superposition,[],[f249,f458]) ).
fof(f705,definition,
( spl24_10
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).
fof(f706,plain,
( l1_struct_0(sK0)
| ~ spl24_10 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( ~ l1_struct_0(sK0)
| spl24_10 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f709,definition,
( spl24_11
<=> m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).
fof(f711,plain,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,plain,
( ~ spl24_10
| spl24_11 ),
inference(avatar_split_clause,[],[f679,f709,f705]) ).
fof(f717,plain,
( ~ l1_orders_2(sK0)
| spl24_10 ),
inference(resolution,[],[f707,f251]) ).
fof(f718,plain,
( $false
| spl24_10 ),
inference(forward_subsumption_resolution,[],[f717,f189]) ).
fof(f719,plain,
spl24_10,
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f1491,plain,
! [X0,X1] :
( ~ r4_waybel_0(sK0,X0,X1,k1_xboole_0)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(sK0)
| ~ v1_funct_1(X1)
| ~ l1_orders_2(sK0)
| v5_waybel34(X1,sK0,X0) ),
inference(superposition,[],[f242,f458]) ).
fof(f1498,plain,
! [X0,X1] :
( ~ r4_waybel_0(sK0,X0,X1,k1_xboole_0)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(sK0)
| v5_waybel34(X1,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f1491,f190]) ).
fof(f1508,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ r4_waybel_0(sK0,X0,X1,k1_xboole_0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v5_waybel34(X1,sK0,X0) ),
inference(forward_subsumption_resolution,[],[f1498,f189]) ).
fof(f1520,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k1_xboole_0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| v5_waybel34(sK2,sK0,sK1) ),
inference(resolution,[],[f1508,f184]) ).
fof(f1521,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k1_xboole_0)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| v5_waybel34(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1520,f187]) ).
fof(f1522,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k1_xboole_0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| v5_waybel34(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1521,f188]) ).
fof(f1523,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k1_xboole_0)
| ~ v1_funct_1(sK2)
| v5_waybel34(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1522,f183]) ).
fof(f1524,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k1_xboole_0)
| v5_waybel34(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1523,f185]) ).
fof(f1526,definition,
( spl24_50
<=> r4_waybel_0(sK0,sK1,sK2,k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[spl24_50])],[avatar_definition]) ).
fof(f1528,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k1_xboole_0)
| spl24_50 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1529,plain,
( spl24_2
| ~ spl24_50 ),
inference(avatar_split_clause,[],[f1524,f1526,f353]) ).
fof(f1533,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v20_waybel_0(X2,X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k2_struct_0(X0,X3,sK5(X0,X1,X2)) = k2_tarski(X3,sK5(X0,X1,X2)) ),
inference(resolution,[],[f245,f336]) ).
fof(f1550,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v20_waybel_0(X2,X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| k2_struct_0(X0,X3,sK5(X0,X1,X2)) = k2_tarski(X3,sK5(X0,X1,X2)) ),
inference(duplicate_literal_removal,[],[f1533]) ).
fof(f1554,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X0)
| v20_waybel_0(X2,X0,X1)
| v3_struct_0(X0)
| k2_struct_0(X0,X3,sK5(X0,X1,X2)) = k2_tarski(X3,sK5(X0,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f1550,f251]) ).
fof(f1630,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_50 ),
inference(resolution,[],[f238,f1528]) ).
fof(f1633,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1630,f190]) ).
fof(f1635,plain,
( v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1633,f187]) ).
fof(f1636,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1635,f188]) ).
fof(f1637,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1636,f183]) ).
fof(f1638,plain,
( ~ v1_funct_1(sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1637,f184]) ).
fof(f1639,plain,
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1638,f185]) ).
fof(f1640,plain,
( ~ v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| ~ spl24_11
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1639,f711]) ).
fof(f1641,plain,
( ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| ~ spl24_4
| ~ spl24_11
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1640,f403]) ).
fof(f1642,plain,
( ~ v4_waybel34(sK2,sK0,sK1)
| ~ spl24_4
| ~ spl24_11
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1641,f189]) ).
fof(f1643,plain,
( $false
| ~ spl24_4
| ~ spl24_11
| spl24_50 ),
inference(forward_subsumption_resolution,[],[f1642,f186]) ).
fof(f1644,plain,
( ~ spl24_4
| ~ spl24_11
| spl24_50 ),
inference(avatar_contradiction_clause,[],[f1643]) ).
fof(f4661,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| k2_tarski(X0,sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,X0,sK5(sK0,sK1,sK2)) ),
inference(resolution,[],[f1554,f184]) ).
fof(f4669,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| k2_tarski(X0,sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,X0,sK5(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f4661,f188]) ).
fof(f4670,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| k2_tarski(X0,sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,X0,sK5(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f4669,f183]) ).
fof(f4671,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| k2_tarski(X0,sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,X0,sK5(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f4670,f187]) ).
fof(f4672,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| k2_tarski(X0,sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,X0,sK5(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f4671,f185]) ).
fof(f4673,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v20_waybel_0(sK2,sK0,sK1)
| v3_struct_0(sK0)
| k2_tarski(X0,sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,X0,sK5(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f4672,f189]) ).
fof(f4674,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| k2_tarski(X0,sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,X0,sK5(sK0,sK1,sK2)) )
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4673,f351]) ).
fof(f4675,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k2_tarski(X0,sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,X0,sK5(sK0,sK1,sK2)) )
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4674,f190]) ).
fof(f4678,plain,
( ! [X0,X1] :
( k2_tarski(sK4(sK0,X0,X1),sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,sK4(sK0,X0,X1),sK5(sK0,sK1,sK2))
| v3_struct_0(sK0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(sK0)
| v20_waybel_0(X1,sK0,X0) )
| spl24_1 ),
inference(resolution,[],[f4675,f248]) ).
fof(f4682,plain,
( ! [X0,X1] :
( k2_tarski(sK4(sK0,X0,X1),sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,sK4(sK0,X0,X1),sK5(sK0,sK1,sK2))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_orders_2(sK0)
| v20_waybel_0(X1,sK0,X0) )
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4678,f190]) ).
fof(f4684,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| k2_tarski(sK4(sK0,X0,X1),sK5(sK0,sK1,sK2)) = k2_struct_0(sK0,sK4(sK0,X0,X1),sK5(sK0,sK1,sK2))
| ~ v1_funct_1(X1)
| v20_waybel_0(X1,sK0,X0) )
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4682,f189]) ).
fof(f4727,definition,
( spl24_88
<=> m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl24_88])],[avatar_definition]) ).
fof(f4728,plain,
( m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ spl24_88 ),
inference(avatar_component_clause,[],[f4727]) ).
fof(f4729,plain,
( ~ m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0))
| spl24_88 ),
inference(avatar_component_clause,[],[f4727]) ).
fof(f4768,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_88 ),
inference(resolution,[],[f4729,f245]) ).
fof(f4771,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f4768,f190]) ).
fof(f4772,plain,
( v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f4771,f187]) ).
fof(f4773,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f4772,f188]) ).
fof(f4774,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f4773,f183]) ).
fof(f4775,plain,
( ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f4774,f184]) ).
fof(f4776,plain,
( ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f4775,f185]) ).
fof(f4777,plain,
( v20_waybel_0(sK2,sK0,sK1)
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f4776,f189]) ).
fof(f4778,plain,
( $false
| spl24_1
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f4777,f351]) ).
fof(f4779,plain,
( spl24_1
| spl24_88 ),
inference(avatar_contradiction_clause,[],[f4778]) ).
fof(f4862,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) = k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))
| ~ v1_funct_1(sK2)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(resolution,[],[f4684,f184]) ).
fof(f4863,plain,
( v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) = k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))
| ~ v1_funct_1(sK2)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4862,f187]) ).
fof(f4864,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) = k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))
| ~ v1_funct_1(sK2)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4863,f188]) ).
fof(f4865,plain,
( k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) = k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))
| ~ v1_funct_1(sK2)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4864,f183]) ).
fof(f4866,plain,
( k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) = k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4865,f185]) ).
fof(f4867,plain,
( k2_struct_0(sK0,sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)) = k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2))
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f4866,f351]) ).
fof(f5226,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(superposition,[],[f246,f4867]) ).
fof(f5228,plain,
( m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0))
| spl24_1 ),
inference(superposition,[],[f250,f4867]) ).
fof(f5260,plain,
( m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0))
| spl24_1
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f5228,f706]) ).
fof(f5262,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f5226,f184]) ).
fof(f5263,plain,
( m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0))
| ~ m1_subset_1(sK5(sK0,sK1,sK2),u1_struct_0(sK0))
| spl24_1
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f5260,f190]) ).
fof(f5265,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f5262,f187]) ).
fof(f5266,plain,
( m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0))
| spl24_1
| ~ spl24_10
| ~ spl24_88 ),
inference(forward_subsumption_resolution,[],[f5263,f4728]) ).
fof(f5268,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f5265,f188]) ).
fof(f5270,definition,
( spl24_107
<=> m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl24_107])],[avatar_definition]) ).
fof(f5272,plain,
( ~ m1_subset_1(sK4(sK0,sK1,sK2),u1_struct_0(sK0))
| spl24_107 ),
inference(avatar_component_clause,[],[f5270]) ).
fof(f5274,definition,
( spl24_108
<=> m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl24_108])],[avatar_definition]) ).
fof(f5276,plain,
( m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl24_108 ),
inference(avatar_component_clause,[],[f5274]) ).
fof(f5277,plain,
( ~ spl24_107
| spl24_108
| spl24_1
| ~ spl24_10
| ~ spl24_88 ),
inference(avatar_split_clause,[],[f5266,f4727,f705,f349,f5274,f5270]) ).
fof(f5282,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| v3_struct_0(sK0)
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f5268,f183]) ).
fof(f5283,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f5282,f190]) ).
fof(f5284,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f5283,f185]) ).
fof(f5285,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| v20_waybel_0(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f5284,f189]) ).
fof(f5286,plain,
( ~ r4_waybel_0(sK0,sK1,sK2,k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f5285,f351]) ).
fof(f5590,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_107 ),
inference(resolution,[],[f5272,f248]) ).
fof(f5593,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_107 ),
inference(forward_subsumption_resolution,[],[f5590,f190]) ).
fof(f5594,plain,
( v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_107 ),
inference(forward_subsumption_resolution,[],[f5593,f187]) ).
fof(f5595,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_107 ),
inference(forward_subsumption_resolution,[],[f5594,f188]) ).
fof(f5596,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_107 ),
inference(forward_subsumption_resolution,[],[f5595,f183]) ).
fof(f5597,plain,
( ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_107 ),
inference(forward_subsumption_resolution,[],[f5596,f184]) ).
fof(f5598,plain,
( ~ l1_orders_2(sK0)
| v20_waybel_0(sK2,sK0,sK1)
| spl24_107 ),
inference(forward_subsumption_resolution,[],[f5597,f185]) ).
fof(f5599,plain,
( v20_waybel_0(sK2,sK0,sK1)
| spl24_107 ),
inference(forward_subsumption_resolution,[],[f5598,f189]) ).
fof(f5600,plain,
( $false
| spl24_1
| spl24_107 ),
inference(forward_subsumption_resolution,[],[f5599,f351]) ).
fof(f5601,plain,
( spl24_1
| spl24_107 ),
inference(avatar_contradiction_clause,[],[f5600]) ).
fof(f6087,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1 ),
inference(resolution,[],[f5286,f238]) ).
fof(f6088,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f6087,f190]) ).
fof(f6089,plain,
( v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f6088,f187]) ).
fof(f6090,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f6089,f188]) ).
fof(f6091,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f6090,f183]) ).
fof(f6092,plain,
( ~ v1_funct_1(sK2)
| ~ m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f6091,f184]) ).
fof(f6093,plain,
( ~ m1_subset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1 ),
inference(forward_subsumption_resolution,[],[f6092,f185]) ).
fof(f6094,plain,
( ~ v1_finset_1(k2_tarski(sK4(sK0,sK1,sK2),sK5(sK0,sK1,sK2)))
| ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1
| ~ spl24_108 ),
inference(forward_subsumption_resolution,[],[f6093,f5276]) ).
fof(f6095,plain,
( ~ l1_orders_2(sK0)
| ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1
| ~ spl24_108 ),
inference(forward_subsumption_resolution,[],[f6094,f295]) ).
fof(f6096,plain,
( ~ v4_waybel34(sK2,sK0,sK1)
| spl24_1
| ~ spl24_108 ),
inference(forward_subsumption_resolution,[],[f6095,f189]) ).
fof(f6097,plain,
( $false
| spl24_1
| ~ spl24_108 ),
inference(forward_subsumption_resolution,[],[f6096,f186]) ).
fof(f6098,plain,
( spl24_1
| ~ spl24_108 ),
inference(avatar_contradiction_clause,[],[f6097]) ).
cnf(s1,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(sat_conversion,[],[f356]) ).
cnf(s4,plain,
spl24_4,
inference(sat_conversion,[],[f474]) ).
cnf(s7,plain,
( ~ spl24_10
| spl24_11 ),
inference(sat_conversion,[],[f712]) ).
cnf(s9,plain,
spl24_10,
inference(sat_conversion,[],[f719]) ).
cnf(s92,plain,
( spl24_2
| ~ spl24_50 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s94,plain,
( ~ spl24_4
| ~ spl24_11
| spl24_50 ),
inference(sat_conversion,[],[f1644]) ).
cnf(s124,plain,
( spl24_1
| spl24_88 ),
inference(sat_conversion,[],[f4779]) ).
cnf(s143,plain,
( spl24_1
| ~ spl24_10
| ~ spl24_88
| ~ spl24_107
| spl24_108 ),
inference(sat_conversion,[],[f5277]) ).
cnf(s146,plain,
( spl24_1
| spl24_107 ),
inference(sat_conversion,[],[f5601]) ).
cnf(s149,plain,
( spl24_1
| ~ spl24_108 ),
inference(sat_conversion,[],[f6098]) ).
cnf(s153,plain,
spl24_11,
inference(rat,[],[s7,s9]) ).
cnf(s157,plain,
spl24_50,
inference(rat,[],[s94,s153,s4]) ).
cnf(s158,plain,
spl24_2,
inference(rat,[],[s92,s157]) ).
cnf(s159,plain,
~ spl24_1,
inference(rat,[],[s1,s158]) ).
cnf(s160,plain,
~ spl24_108,
inference(rat,[],[s149,s159]) ).
cnf(s161,plain,
spl24_107,
inference(rat,[],[s146,s159]) ).
cnf(s162,plain,
~ spl24_88,
inference(rat,[],[s143,s160,s161,s9,s159]) ).
cnf(s165,plain,
$false,
inference(rat,[],[s124,s162,s159]) ).
fof(f6099,plain,
$false,
inference(avatar_sat_refutation,[],[s165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT379+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:12:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.36/4.36 % (680359)Will run a generic schedule for satisfiability detection.
% 27.36/4.36 % (680364)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1156183156_2999 on theBenchmark for (2999ds/0Mi)
% 27.36/4.36 % (680365)% WARNING: option uhcvi not known.
% 27.36/4.36 % TRYING [1]
% 27.36/4.36 % TRYING [2]
% 27.36/4.36 % (680365)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2413701507:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.36/4.36 % (680366)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4191177687:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.36/4.36 % (680367)dis+10_1_sil=32000:sp=arity:random_seed=2263826497:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.36/4.36 % (680368)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=122331675:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.36/4.36 % TRYING [3]
% 27.36/4.36 % (680369)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1176010689:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.36/4.36 % (680370)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2606213804:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.36/4.36 % TRYING [4]
% 27.36/4.36 % TRYING [5]
% 27.36/4.36 % (680367)Instruction limit reached!
% 27.36/4.36 % (680367)------------------------------
% 27.36/4.36 % (680367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.36/4.36 % (680367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.36 % (680367)CaDiCaL version: 2.1.3
% 27.36/4.36 % (680367)Termination reason: Instruction limit
% 27.36/4.36 % (680367)Termination phase: Saturation
% 27.36/4.36 % (680367)Time elapsed: 0.062 s
% 27.36/4.36 % (680367)Peak memory usage: 13 MB
% 27.36/4.36 % (680367)Instructions burned: 104 (million)
% 27.36/4.36 % (680368)Instruction limit reached!
% 27.36/4.36 % (680368)------------------------------
% 27.36/4.36 % (680368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.36/4.36 % (680368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.36 % (680368)CaDiCaL version: 2.1.3
% 27.36/4.36 % (680368)Termination reason: Instruction limit
% 27.36/4.36 % (680368)Termination phase: Saturation
% 27.36/4.36 % (680368)Time elapsed: 0.066 s
% 27.36/4.36 % (680368)Peak memory usage: 13 MB
% 27.36/4.36 % (680368)Instructions burned: 116 (million)
% 27.36/4.36 % (680369)Instruction limit reached!
% 27.36/4.36 % (680369)------------------------------
% 27.36/4.36 % (680369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.36/4.36 % (680369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.36 % (680369)CaDiCaL version: 2.1.3
% 27.36/4.36 % (680369)Termination reason: Instruction limit
% 27.36/4.36 % (680369)Termination phase: Saturation
% 27.36/4.36 % (680369)Time elapsed: 0.077 s
% 27.36/4.36 % (680369)Peak memory usage: 13 MB
% 27.36/4.36 % (680369)Instructions burned: 132 (million)
% 27.36/4.36 % (680378)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=878633264:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.36/4.36 % (680379)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2974318230:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 27.36/4.36 % TRYING [1]
% 27.36/4.36 % TRYING [2]
% 27.36/4.36 % TRYING [3]
% 27.36/4.36 % (680380)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1621732044:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.36/4.36 % (680370)Instruction limit reached!
% 27.36/4.36 % (680370)------------------------------
% 27.36/4.36 % (680370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.36/4.36 % (680370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.36/4.36 % (680370)CaDiCaL version: 2.1.3
% 27.36/4.36 % (680370)Termination reason: Instruction limit
% 27.36/4.36 % (680370)Termination phase: Saturation
% 27.36/4.36 % (680370)Time elapsed: 0.101 s
% 27.36/4.36 % (680370)Peak memory usage: 14 MB
% 27.36/4.36 % (680370)Instructions burned: 160 (million)
% 27.36/4.36 % TRYING [4]
% 27.36/4.36 % (680384)ott-21_1_sil=16000:fs=off:random_seed=4149631232:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.36/4.36 % (680379)Instruction limit reached!
% 27.36/4.36 % (680379)------------------------------
% 27.36/4.36 % (680379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.36/4.36 % (680379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680379)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680379)Termination reason: Instruction limit
% 15.98/4.71 % (680379)Termination phase: Saturation
% 15.98/4.71 % (680379)Time elapsed: 0.083 s
% 15.98/4.71 % (680379)Peak memory usage: 14 MB
% 15.98/4.71 % (680379)Instructions burned: 131 (million)
% 15.98/4.71 % (680386)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4270295939:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 15.98/4.71 % (680384)Instruction limit reached!
% 15.98/4.71 % (680384)------------------------------
% 15.98/4.71 % (680384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680384)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680384)Termination reason: Instruction limit
% 15.98/4.71 % (680384)Termination phase: Saturation
% 15.98/4.71 % (680384)Time elapsed: 0.089 s
% 15.98/4.71 % (680384)Peak memory usage: 13 MB
% 15.98/4.71 % (680384)Instructions burned: 182 (million)
% 15.98/4.71 % (680388)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=388014020:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.98/4.71 % TRYING [1]
% 15.98/4.71 % TRYING [2]
% 15.98/4.71 % TRYING [3]
% 15.98/4.71 % TRYING [5]
% 15.98/4.71 % TRYING [4]
% 15.98/4.71 % (680378)Instruction limit reached!
% 15.98/4.71 % (680378)------------------------------
% 15.98/4.71 % (680378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680378)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680378)Termination reason: Instruction limit
% 15.98/4.71 % (680378)Termination phase: Finite model building SAT solving
% 15.98/4.71 % (680378)Time elapsed: 0.355 s
% 15.98/4.71 % (680378)Peak memory usage: 27 MB
% 15.98/4.71 % (680378)Instructions burned: 714 (million)
% 15.98/4.71 % TRYING [5]
% 15.98/4.71 % (680390)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=727307820:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 15.98/4.71 % (680380)Instruction limit reached!
% 15.98/4.71 % (680380)------------------------------
% 15.98/4.71 % (680380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680380)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680380)Termination reason: Instruction limit
% 15.98/4.71 % (680380)Termination phase: Saturation
% 15.98/4.71 % (680380)Time elapsed: 0.407 s
% 15.98/4.71 % (680380)Peak memory usage: 20 MB
% 15.98/4.71 % (680380)Instructions burned: 684 (million)
% 15.98/4.71 % (680386)Instruction limit reached!
% 15.98/4.71 % (680386)------------------------------
% 15.98/4.71 % (680386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680386)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680386)Termination reason: Instruction limit
% 15.98/4.71 % (680386)Termination phase: Saturation
% 15.98/4.71 % (680386)Time elapsed: 0.318 s
% 15.98/4.71 % (680386)Peak memory usage: 16 MB
% 15.98/4.71 % (680386)Instructions burned: 478 (million)
% 15.98/4.71 % (680392)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=361086365:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 15.98/4.71 % (680393)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3598882749:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 15.98/4.71 % (680388)Instruction limit reached!
% 15.98/4.71 % (680388)------------------------------
% 15.98/4.71 % (680388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680388)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680388)Termination reason: Instruction limit
% 15.98/4.71 % (680388)Termination phase: Finite model building SAT solving
% 15.98/4.71 % (680388)Time elapsed: 0.335 s
% 15.98/4.71 % (680388)Peak memory usage: 25 MB
% 15.98/4.71 % (680388)Instructions burned: 866 (million)
% 15.98/4.71 % (680396)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=724402321:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 15.98/4.71 % TRYING [14]
% 15.98/4.71 % TRYING [6]
% 15.98/4.71 % (680392)Instruction limit reached!
% 15.98/4.71 % (680392)------------------------------
% 15.98/4.71 % (680392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680392)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680392)Termination reason: Instruction limit
% 15.98/4.71 % (680392)Termination phase: Finite model building constraint generation
% 15.98/4.71 % (680392)Time elapsed: 0.334 s
% 15.98/4.71 % (680392)Peak memory usage: 74 MB
% 15.98/4.71 % (680392)Instructions burned: 891 (million)
% 15.98/4.71 % (680398)fmb+10_1_sil=64000:random_seed=1123114805:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 15.98/4.71 % TRYING [1]
% 15.98/4.71 % TRYING [2]
% 15.98/4.71 % TRYING [3]
% 15.98/4.71 % (680393)Instruction limit reached!
% 15.98/4.71 % (680393)------------------------------
% 15.98/4.71 % (680393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680393)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680393)Termination reason: Instruction limit
% 15.98/4.71 % (680393)Termination phase: Saturation
% 15.98/4.71 % (680393)Time elapsed: 0.397 s
% 15.98/4.71 % (680393)Peak memory usage: 22 MB
% 15.98/4.71 % (680393)Instructions burned: 693 (million)
% 15.98/4.71 % TRYING [4]
% 15.98/4.71 % (680400)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=625512460:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 15.98/4.71 % TRYING [20]
% 15.98/4.71 % TRYING [5]
% 15.98/4.71 % (680396)Instruction limit reached!
% 15.98/4.71 % (680396)------------------------------
% 15.98/4.71 % (680396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680396)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680396)Termination reason: Instruction limit
% 15.98/4.71 % (680396)Termination phase: Saturation
% 15.98/4.71 % (680396)Time elapsed: 0.516 s
% 15.98/4.71 % (680396)Peak memory usage: 20 MB
% 15.98/4.71 % (680396)Instructions burned: 879 (million)
% 15.98/4.71 % (680390)Instruction limit reached!
% 15.98/4.71 % (680390)------------------------------
% 15.98/4.71 % (680390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680390)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680390)Termination reason: Instruction limit
% 15.98/4.71 % (680390)Termination phase: Saturation
% 15.98/4.71 % (680390)Time elapsed: 0.666 s
% 15.98/4.71 % (680390)Peak memory usage: 26 MB
% 15.98/4.71 % (680390)Instructions burned: 1180 (million)
% 15.98/4.71 % (680402)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2127144807:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 15.98/4.71 % TRYING [8]
% 15.98/4.71 % (680404)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2817310391:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 15.98/4.71 % (680402)Instruction limit reached!
% 15.98/4.71 % (680402)------------------------------
% 15.98/4.71 % (680402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680402)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680402)Termination reason: Instruction limit
% 15.98/4.71 % (680402)Termination phase: Finite model building constraint generation
% 15.98/4.71 % (680402)Time elapsed: 0.336 s
% 15.98/4.71 % (680402)Peak memory usage: 62 MB
% 15.98/4.71 % (680402)Instructions burned: 921 (million)
% 15.98/4.71 % (680406)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2384106701:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 15.98/4.71 % TRYING [6]
% 15.98/4.71 % (680406)Instruction limit reached!
% 15.98/4.71 % (680406)------------------------------
% 15.98/4.71 % (680406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680406)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680406)Termination reason: Instruction limit
% 15.98/4.71 % (680406)Termination phase: Saturation
% 15.98/4.71 % (680406)Time elapsed: 0.851 s
% 15.98/4.71 % (680406)Peak memory usage: 37 MB
% 15.98/4.71 % (680406)Instructions burned: 1472 (million)
% 15.98/4.71 % (680408)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1296039200:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 15.98/4.71 % TRYING [77]
% 15.98/4.71 % TRYING [7]
% 15.98/4.71 % (680404)Instruction limit reached!
% 15.98/4.71 % (680404)------------------------------
% 15.98/4.71 % (680404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680404)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680404)Termination reason: Instruction limit
% 15.98/4.71 % (680404)Termination phase: Saturation
% 15.98/4.71 % (680404)Time elapsed: 2.727 s
% 15.98/4.71 % (680404)Peak memory usage: 33 MB
% 15.98/4.71 % (680404)Instructions burned: 5132 (million)
% 15.98/4.71 % (680410)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1217112684:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 15.98/4.71 % TRYING [16]
% 15.98/4.71 % (680400)Instruction limit reached!
% 15.98/4.71 % (680400)------------------------------
% 15.98/4.71 % (680400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680400)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680400)Termination reason: Instruction limit
% 15.98/4.71 % (680400)Termination phase: Finite model building constraint generation
% 15.98/4.71 % (680400)Time elapsed: 3.031 s
% 15.98/4.71 % (680400)Peak memory usage: 393 MB
% 15.98/4.71 % (680400)Instructions burned: 9515 (million)
% 15.98/4.71 % (680412)ott-2_1_sil=16000:newcnf=on:random_seed=1286650287:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2959 on theBenchmark for (2959ds/869Mi)
% 15.98/4.71 % (680412) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-680359-680412"...
% 15.98/4.71 % (680412)...printing done.
% 15.98/4.71 % (680412)Refutation found. Thanks to Tanya!
% 15.98/4.71 % SZS status Theorem for theBenchmark
% 15.98/4.71 % SZS output start Proof for theBenchmark
% See solution above
% 15.98/4.71 % (680412)------------------------------
% 15.98/4.71 % (680412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.98/4.71 % (680412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.98/4.71 % (680412)CaDiCaL version: 2.1.3
% 15.98/4.71 % (680412)Termination reason: Refutation
% 15.98/4.71 % (680412)Time elapsed: 0.139 s
% 15.98/4.71 % (680412)Peak memory usage: 15 MB
% 15.98/4.71 % (680412)Instructions burned: 231 (million)
% 15.98/4.71 % (680359)Success in time 4.272 s
% 15.98/4.71 % Vampire exiting
%------------------------------------------------------------------------------