%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT373+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 : n009.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 11:47:28 AM UTC 2026
% Result : Theorem 47.99s 7.77s
% Output : Refutation 48.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 28
% Syntax : Number of formulae : 185 ( 32 unt; 6 def)
% Number of atoms : 876 ( 91 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1193 ( 502 ~; 539 |; 104 &)
% ( 12 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 5 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-4 aty)
% Number of variables : 253 ( 0 sgn 247 !; 6 ?)
% 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)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> v17_waybel_0(k3_borsuk_1(X0,X1,k4_yellow_0(X1)),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_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)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> v17_waybel_0(k3_borsuk_1(X0,X1,k4_yellow_0(X1)),X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f26,axiom,
! [X0] :
( l1_orders_2(X0)
=> k4_yellow_0(X0) = k2_yellow_0(X0,k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_yellow_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)))
=> ( 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(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)) )
=> ( v17_waybel_0(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> r3_waybel_0(X0,X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d32_waybel_0) ).
fof(f29,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(f39,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(f41,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(f43,axiom,
! [X0] :
( l1_orders_2(X0)
=> m1_subset_1(k4_yellow_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_yellow_0) ).
fof(f46,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
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(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(f86,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(f88,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(f90,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(f91,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(f92,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(f93,axiom,
! [X0,X1] :
( r1_tarski(X0,k1_tarski(X1))
<=> ( X0 = k1_xboole_0
| X0 = k1_tarski(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f95,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& l1_orders_2(X0) )
=> ( r2_yellow_0(X0,k1_xboole_0)
& r1_yellow_0(X0,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_yellow_0) ).
fof(f99,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(f103,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& l1_orders_2(X0) )
=> r2_yellow_0(X0,k1_xboole_0) ),
inference(pure_predicate_removal,[],[f95]) ).
fof(f104,plain,
! [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))
=> r2_yellow_0(X0,k1_struct_0(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f91]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ~ v17_waybel_0(k3_borsuk_1(X0,X1,k4_yellow_0(X1)),X0,X1)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f114,plain,
? [X0] :
( ? [X1] :
( ~ v17_waybel_0(k3_borsuk_1(X0,X1,k4_yellow_0(X1)),X0,X1)
& ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f113]) ).
fof(f141,plain,
! [X0] :
( k4_yellow_0(X0) = k2_yellow_0(X0,k1_xboole_0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f142,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,[],[f27]) ).
fof(f143,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,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v17_waybel_0(X2,X0,X1)
<=> ! [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(ennf_transformation,[],[f28]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v17_waybel_0(X2,X0,X1)
<=> ! [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,[],[f144]) ).
fof(f146,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,[],[f29]) ).
fof(f147,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,[],[f146]) ).
fof(f155,plain,
! [X0,X1] :
( m1_subset_1(k2_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f156,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,[],[f41]) ).
fof(f157,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,[],[f156]) ).
fof(f160,plain,
! [X0] :
( m1_subset_1(k4_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f163,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f171,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f172,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f171]) ).
fof(f187,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(f188,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,[],[f187]) ).
fof(f189,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(f190,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,[],[f189]) ).
fof(f191,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(f192,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,[],[f191]) ).
fof(f193,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(f194,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,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( k1_funct_1(k2_funcop_1(X0,X2),X1) = X2
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f199,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f90]) ).
fof(f200,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f199]) ).
fof(f201,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(ennf_transformation,[],[f104]) ).
fof(f202,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(flattening,[],[f201]) ).
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(ennf_transformation,[],[f92]) ).
fof(f204,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,[],[f203]) ).
fof(f205,plain,
! [X0] :
( r2_yellow_0(X0,k1_xboole_0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f206,plain,
! [X0] :
( r2_yellow_0(X0,k1_xboole_0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f205]) ).
fof(f213,plain,
( ~ v17_waybel_0(k3_borsuk_1(sK0,sK1,k4_yellow_0(sK1)),sK0,sK1)
& ~ v3_struct_0(sK1)
& v2_orders_2(sK1)
& v4_orders_2(sK1)
& v2_yellow_0(sK1)
& l1_orders_2(sK1)
& ~ v3_struct_0(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f114]) ).
fof(f214,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,[],[f143]) ).
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(flattening,[],[f214]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v17_waybel_0(X2,X0,X1)
| ? [X3] :
( ~ r3_waybel_0(X0,X1,X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( r3_waybel_0(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v17_waybel_0(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(nnf_transformation,[],[f145]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v17_waybel_0(X2,X0,X1)
| ? [X3] :
( ~ r3_waybel_0(X0,X1,X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( r3_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v17_waybel_0(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(rectify,[],[f216]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v17_waybel_0(X2,X0,X1)
| ( ~ r3_waybel_0(X0,X1,X2,sK2(X0,X1,X2))
& m1_subset_1(sK2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X4] :
( r3_waybel_0(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v17_waybel_0(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(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f217]) ).
fof(f234,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,[],[f86]) ).
fof(f235,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_xboole_0 != X0
& k1_tarski(X1) != X0 ) )
& ( X0 = k1_xboole_0
| X0 = k1_tarski(X1)
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f236,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_xboole_0 != X0
& k1_tarski(X1) != X0 ) )
& ( X0 = k1_xboole_0
| X0 = k1_tarski(X1)
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(flattening,[],[f235]) ).
fof(f238,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f213]) ).
fof(f239,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f213]) ).
fof(f240,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f213]) ).
fof(f241,plain,
v2_yellow_0(sK1),
inference(cnf_transformation,[],[f213]) ).
fof(f242,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f213]) ).
fof(f243,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f213]) ).
fof(f244,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f213]) ).
fof(f245,plain,
~ v17_waybel_0(k3_borsuk_1(sK0,sK1,k4_yellow_0(sK1)),sK0,sK1),
inference(cnf_transformation,[],[f213]) ).
fof(f295,plain,
! [X0] :
( k4_yellow_0(X0) = k2_yellow_0(X0,k1_xboole_0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f299,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,[],[f215]) ).
fof(f301,plain,
! [X2,X0,X1] :
( m1_subset_1(sK2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v17_waybel_0(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(cnf_transformation,[],[f218]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ r3_waybel_0(X0,X1,X2,sK2(X0,X1,X2))
| v17_waybel_0(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(cnf_transformation,[],[f218]) ).
fof(f303,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f147]) ).
fof(f310,plain,
! [X0,X1] :
( m1_subset_1(k2_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f311,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,[],[f157]) ).
fof(f312,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,[],[f157]) ).
fof(f313,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,[],[f157]) ).
fof(f315,plain,
! [X0] :
( m1_subset_1(k4_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f317,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f337,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f384,plain,
! [X2,X0,X1] :
( k1_borsuk_1(X0,X1,X2) = k2_funcop_1(X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f385,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(cnf_transformation,[],[f190]) ).
fof(f386,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f192]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f194]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f392,plain,
! [X2,X0,X1] :
( k1_funct_1(k2_funcop_1(X0,X2),X1) = X2
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f394,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f395,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,[],[f202]) ).
fof(f396,plain,
! [X0,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(cnf_transformation,[],[f204]) ).
fof(f398,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f236]) ).
fof(f403,plain,
! [X0] :
( r2_yellow_0(X0,k1_xboole_0)
| v3_struct_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f407,plain,
! [X2,X0,X1] : r1_tarski(k9_relat_1(k2_funcop_1(X0,X1),X2),k1_tarski(X1)),
inference(cnf_transformation,[],[f99]) ).
fof(f412,definition,
sF18 = k4_yellow_0(sK1),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f413,plain,
k4_yellow_0(sK1) = sF18,
inference(reorient_equations,[],[f412]) ).
fof(f414,definition,
sF19 = k3_borsuk_1(sK0,sK1,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f415,plain,
k3_borsuk_1(sK0,sK1,sF18) = sF19,
inference(reorient_equations,[],[f414]) ).
fof(f416,plain,
~ v17_waybel_0(sF19,sK0,sK1),
inference(definition_folding,[],[f245,f415,f413]) ).
fof(f417,plain,
( v1_funct_2(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF18,u1_struct_0(sK1)) ),
inference(superposition,[],[f312,f415]) ).
fof(f418,plain,
( v1_funct_2(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF18,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f417,f244]) ).
fof(f420,definition,
( spl20_1
<=> m1_subset_1(sF18,u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f421,plain,
( m1_subset_1(sF18,u1_struct_0(sK1))
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( ~ m1_subset_1(sF18,u1_struct_0(sK1))
| spl20_1 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl20_2
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f425,plain,
( l1_struct_0(sK1)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f428,definition,
( spl20_3
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f429,plain,
( l1_struct_0(sK0)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f432,definition,
( spl20_4
<=> v1_funct_2(sF19,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f434,plain,
( v1_funct_2(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f435,plain,
( ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| spl20_4 ),
inference(avatar_split_clause,[],[f418,f432,f428,f424,f420]) ).
fof(f436,plain,
( m2_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF18,u1_struct_0(sK1)) ),
inference(superposition,[],[f311,f415]) ).
fof(f439,plain,
l1_struct_0(sK1),
inference(resolution,[],[f317,f240]) ).
fof(f440,plain,
l1_struct_0(sK0),
inference(resolution,[],[f317,f238]) ).
fof(f441,plain,
spl20_3,
inference(avatar_split_clause,[],[f440,f428]) ).
fof(f442,plain,
spl20_2,
inference(avatar_split_clause,[],[f439,f424]) ).
fof(f443,plain,
k4_yellow_0(sK1) = k2_yellow_0(sK1,k1_xboole_0),
inference(unit_resulting_resolution,[],[f295,f240]) ).
fof(f445,plain,
sF18 = k2_yellow_0(sK1,k1_xboole_0),
inference(forward_demodulation,[],[f443,f413]) ).
fof(f446,plain,
m1_subset_1(k4_yellow_0(sK1),u1_struct_0(sK1)),
inference(unit_resulting_resolution,[],[f315,f240]) ).
fof(f450,plain,
m1_subset_1(sF18,u1_struct_0(sK1)),
inference(forward_demodulation,[],[f446,f413]) ).
fof(f453,plain,
( $false
| spl20_1 ),
inference(forward_subsumption_resolution,[],[f450,f422]) ).
fof(f454,plain,
spl20_1,
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f455,plain,
( m2_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF18,u1_struct_0(sK1))
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f436,f429]) ).
fof(f456,plain,
( m2_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_struct_0(sK1)
| ~ m1_subset_1(sF18,u1_struct_0(sK1))
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f455,f244]) ).
fof(f457,plain,
( m2_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_subset_1(sF18,u1_struct_0(sK1))
| ~ spl20_2
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f456,f425]) ).
fof(f458,plain,
( m2_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f457,f421]) ).
fof(f465,plain,
( k1_struct_0(sK1,sF18) = k1_tarski(sF18)
| ~ spl20_1
| ~ spl20_2 ),
inference(unit_resulting_resolution,[],[f385,f244,f425,f421]) ).
fof(f467,plain,
( k3_borsuk_1(sK0,sK1,sF18) = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(sK0),sF18)
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f303,f429,f425,f244,f421]) ).
fof(f468,plain,
( sF19 = k1_borsuk_1(u1_struct_0(sK1),u1_struct_0(sK0),sF18)
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(forward_demodulation,[],[f467,f415]) ).
fof(f469,plain,
r2_yellow_0(sK1,k1_xboole_0),
inference(unit_resulting_resolution,[],[f403,f240,f241,f242,f244]) ).
fof(f470,plain,
( r2_yellow_0(sK1,k1_struct_0(sK1,sF18))
| ~ spl20_1 ),
inference(unit_resulting_resolution,[],[f395,f240,f242,f243,f244,f421]) ).
fof(f474,plain,
( r2_yellow_0(sK1,k1_tarski(sF18))
| ~ spl20_1
| ~ spl20_2 ),
inference(forward_demodulation,[],[f470,f465]) ).
fof(f479,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ spl20_2 ),
inference(unit_resulting_resolution,[],[f337,f425,f244]) ).
fof(f480,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f337,f429,f239]) ).
fof(f483,plain,
( m1_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(resolution,[],[f389,f458]) ).
fof(f485,plain,
! [X0] : m1_subset_1(k2_yellow_0(sK0,X0),u1_struct_0(sK0)),
inference(unit_resulting_resolution,[],[f310,f238]) ).
fof(f490,plain,
( v1_funct_1(k3_borsuk_1(sK0,sK1,sF18))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f313,f429,f425,f244,f421]) ).
fof(f493,plain,
( v1_funct_1(sF19)
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(forward_demodulation,[],[f490,f415]) ).
fof(f497,plain,
( sF18 = k2_yellow_0(sK1,k1_struct_0(sK1,sF18))
| ~ spl20_1 ),
inference(unit_resulting_resolution,[],[f396,f240,f242,f243,f244,f421]) ).
fof(f503,plain,
( sF18 = k2_yellow_0(sK1,k1_tarski(sF18))
| ~ spl20_1
| ~ spl20_2 ),
inference(forward_demodulation,[],[f497,f465]) ).
fof(f504,plain,
( ! [X0] : k4_pre_topc(sK0,sK1,sF19,X0) = k9_relat_1(sF19,X0)
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(unit_resulting_resolution,[],[f387,f429,f425,f483,f434,f493]) ).
fof(f505,plain,
( ~ r3_waybel_0(sK0,sK1,sF19,sK2(sK0,sK1,sF19))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(unit_resulting_resolution,[],[f302,f238,f239,f240,f244,f416,f458,f434,f493]) ).
fof(f535,plain,
( m1_subset_1(sK2(sK0,sK1,sF19),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(unit_resulting_resolution,[],[f301,f238,f239,f240,f244,f493,f416,f458,f434]) ).
fof(f551,plain,
( ! [X0] : k1_waybel_0(sK0,sK1,sF19,k2_yellow_0(sK0,X0)) = k1_funct_1(sF19,k2_yellow_0(sK0,X0))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(unit_resulting_resolution,[],[f386,f239,f244,f429,f493,f425,f483,f434,f485]) ).
fof(f560,plain,
( ! [X0] : k2_funcop_1(X0,sF18) = k1_borsuk_1(u1_struct_0(sK1),X0,sF18)
| ~ spl20_1
| ~ spl20_2 ),
inference(unit_resulting_resolution,[],[f384,f421,f479]) ).
fof(f575,plain,
( sF19 = k2_funcop_1(u1_struct_0(sK0),sF18)
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(backward_demodulation,[],[f468,f560]) ).
fof(f1175,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(sF19)
| ~ v1_funct_2(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(superposition,[],[f299,f551]) ).
fof(f1179,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f1175,f493]) ).
fof(f1182,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(sF19,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f1179,f434]) ).
fof(f1185,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f1182,f458]) ).
fof(f1186,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f1185,f244]) ).
fof(f1187,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f1186,f240]) ).
fof(f1188,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_orders_2(sK0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f1187,f239]) ).
fof(f1189,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f1188,f238]) ).
fof(f1190,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF19,X0))
| ~ r2_yellow_0(sK1,k4_pre_topc(sK0,sK1,sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_demodulation,[],[f1189,f504]) ).
fof(f1191,plain,
( ! [X0] :
( k1_funct_1(sF19,k2_yellow_0(sK0,X0)) != k2_yellow_0(sK1,k9_relat_1(sF19,X0))
| ~ r2_yellow_0(sK1,k9_relat_1(sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_demodulation,[],[f1190,f504]) ).
fof(f1317,plain,
( ! [X0] :
( sF18 = k1_funct_1(sF19,X0)
| ~ r2_hidden(X0,u1_struct_0(sK0)) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(superposition,[],[f392,f575]) ).
fof(f1320,plain,
( ! [X0] :
( sF18 != k2_yellow_0(sK1,k9_relat_1(sF19,X0))
| ~ r2_yellow_0(sK1,k9_relat_1(sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ r2_hidden(k2_yellow_0(sK0,X0),u1_struct_0(sK0)) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(superposition,[],[f1191,f1317]) ).
fof(f1407,plain,
( ! [X0] : r2_hidden(k2_yellow_0(sK0,X0),u1_struct_0(sK0))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f394,f480,f485]) ).
fof(f2074,plain,
! [X2,X0,X1] :
( k1_tarski(X0) = k9_relat_1(k2_funcop_1(X1,X0),X2)
| k1_xboole_0 = k9_relat_1(k2_funcop_1(X1,X0),X2) ),
inference(resolution,[],[f407,f398]) ).
fof(f2076,plain,
( ! [X0] :
( k1_tarski(sF18) = k9_relat_1(sF19,X0)
| k1_xboole_0 = k9_relat_1(sF19,X0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(superposition,[],[f2074,f575]) ).
fof(f3443,plain,
( ! [X0] :
( sF18 != k2_yellow_0(sK1,k9_relat_1(sF19,X0))
| ~ r2_yellow_0(sK1,k9_relat_1(sF19,X0))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f1320,f1407]) ).
fof(f3898,plain,
( ! [X0] :
( sF18 != k2_yellow_0(sK1,k1_tarski(sF18))
| ~ r2_yellow_0(sK1,k1_tarski(sF18))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k1_xboole_0 = k9_relat_1(sF19,X0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(superposition,[],[f3443,f2076]) ).
fof(f3914,plain,
( ! [X0] :
( ~ r2_yellow_0(sK1,k1_tarski(sF18))
| r3_waybel_0(sK0,sK1,sF19,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k1_xboole_0 = k9_relat_1(sF19,X0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f3898,f503]) ).
fof(f3920,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| r3_waybel_0(sK0,sK1,sF19,X0)
| k1_xboole_0 = k9_relat_1(sF19,X0) )
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f3914,f474]) ).
fof(f3968,plain,
( k1_xboole_0 = k9_relat_1(sF19,sK2(sK0,sK1,sF19))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(unit_resulting_resolution,[],[f3920,f505,f535]) ).
fof(f3982,plain,
( sF18 != k2_yellow_0(sK1,k1_xboole_0)
| ~ r2_yellow_0(sK1,k1_xboole_0)
| r3_waybel_0(sK0,sK1,sF19,sK2(sK0,sK1,sF19))
| ~ m1_subset_1(sK2(sK0,sK1,sF19),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(superposition,[],[f3443,f3968]) ).
fof(f3992,plain,
( ~ r2_yellow_0(sK1,k1_xboole_0)
| r3_waybel_0(sK0,sK1,sF19,sK2(sK0,sK1,sF19))
| ~ m1_subset_1(sK2(sK0,sK1,sF19),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f3982,f445]) ).
fof(f4005,plain,
( r3_waybel_0(sK0,sK1,sF19,sK2(sK0,sK1,sF19))
| ~ m1_subset_1(sK2(sK0,sK1,sF19),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f3992,f469]) ).
fof(f4006,plain,
( ~ m1_subset_1(sK2(sK0,sK1,sF19),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f4005,f505]) ).
fof(f4007,plain,
( $false
| ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f4006,f535]) ).
fof(f4008,plain,
( ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(avatar_contradiction_clause,[],[f4007]) ).
cnf(s1,plain,
( ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| spl20_4 ),
inference(sat_conversion,[],[f435]) ).
cnf(s2,plain,
spl20_3,
inference(sat_conversion,[],[f441]) ).
cnf(s3,plain,
spl20_2,
inference(sat_conversion,[],[f442]) ).
cnf(s7,plain,
spl20_1,
inference(sat_conversion,[],[f454]) ).
cnf(s34,plain,
( ~ spl20_1
| ~ spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(sat_conversion,[],[f4008]) ).
cnf(s35,plain,
~ spl20_4,
inference(rat,[],[s34,s3,s7,s2]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s1,s35,s2,s3,s7]) ).
fof(f4009,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT373+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n009.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 15:07:30 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 17.87/3.64 % (2141966)Detected formulas, will run a generic FOF schedule.
% 17.87/3.64 % (2141975)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2145073994:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.87/3.64 % (2141975)Refutation not found, incomplete strategy
% 17.87/3.64 % (2141975)------------------------------
% 17.87/3.64 % (2141975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/3.64 % (2141975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/3.64 % (2141975)CaDiCaL version: 2.1.3
% 17.87/3.64 % (2141975)Termination reason: Refutation not found, incomplete strategy
% 17.87/3.64 % (2141975)Time elapsed: 0.008 s
% 17.87/3.64 % (2141975)Peak memory usage: 88 MB
% 17.87/3.64 % (2141975)Instructions burned: 15 (million)
% 17.87/3.64 % (2141974)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2570881936:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.87/3.64 % (2141972)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=789293283:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.87/3.64 % (2141976)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1175082543:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.87/3.64 % (2141977)dis-21_1_sil=8000:lcm=predicate:random_seed=672918997: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)
% 17.87/3.64 % (2141973)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=1293981565:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.87/3.64 % (2141971)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=678966076:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.87/3.64 % (2141974)Refutation not found, incomplete strategy
% 17.87/3.64 % (2141974)------------------------------
% 17.87/3.64 % (2141974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/3.64 % (2141974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/3.64 % (2141974)CaDiCaL version: 2.1.3
% 17.87/3.64 % (2141974)Termination reason: Refutation not found, incomplete strategy
% 17.87/3.64 % (2141974)Time elapsed: 0.003 s
% 17.87/3.64 % (2141974)Peak memory usage: 88 MB
% 17.87/3.64 % (2141974)Instructions burned: 1 (million)
% 17.87/3.64 % (2141977)Instruction limit reached!
% 17.87/3.64 % (2141977)------------------------------
% 17.87/3.64 % (2141977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/3.64 % (2141977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/3.64 % (2141977)CaDiCaL version: 2.1.3
% 17.87/3.64 % (2141977)Termination reason: Instruction limit
% 17.87/3.64 % (2141977)Termination phase: Saturation
% 17.87/3.64 % (2141977)Time elapsed: 0.121 s
% 17.87/3.64 % (2141977)Peak memory usage: 90 MB
% 17.87/3.64 % (2141977)Instructions burned: 130 (million)
% 17.87/3.64 % (2141976)Instruction limit reached!
% 17.87/3.64 % (2141976)------------------------------
% 17.87/3.64 % (2141976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/3.64 % (2141976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/3.64 % (2141976)CaDiCaL version: 2.1.3
% 17.87/3.64 % (2141976)Termination reason: Instruction limit
% 17.87/3.64 % (2141976)Termination phase: Saturation
% 17.87/3.64 % (2141976)Time elapsed: 0.152 s
% 17.87/3.64 % (2141976)Peak memory usage: 90 MB
% 17.87/3.64 % (2141976)Instructions burned: 139 (million)
% 17.87/3.64 % (2141975)------------------------------
% 17.87/3.64 % (2141975)------------------------------
% 17.87/3.64 % (2141986)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3128300990:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 17.87/3.64 % (2141986)Refutation not found, incomplete strategy
% 17.87/3.64 % (2141986)------------------------------
% 17.87/3.64 % (2141986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.87/3.64 % (2141986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.87/3.64 % (2141986)CaDiCaL version: 2.1.3
% 17.87/3.64 % (2141986)Termination reason: Refutation not found, incomplete strategy
% 17.87/3.64 % (2141986)Time elapsed: 0.005 s
% 27.75/4.91 % (2141986)Peak memory usage: 88 MB
% 27.75/4.91 % (2141986)Instructions burned: 7 (million)
% 27.75/4.91 % (2141985)lrs+10_1_sil=8000:sp=occurrence:random_seed=3062085258:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 27.75/4.91 % (2141974)------------------------------
% 27.75/4.91 % (2141974)------------------------------
% 27.75/4.91 % (2141987)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1236810526:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 27.75/4.91 % (2141987)Refutation not found, incomplete strategy
% 27.75/4.91 % (2141987)------------------------------
% 27.75/4.91 % (2141987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.75/4.91 % (2141987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.91 % (2141987)CaDiCaL version: 2.1.3
% 27.75/4.91 % (2141987)Termination reason: Refutation not found, incomplete strategy
% 27.75/4.91 % (2141987)Time elapsed: 0.008 s
% 27.75/4.91 % (2141987)Peak memory usage: 88 MB
% 27.75/4.91 % (2141987)Instructions burned: 6 (million)
% 27.75/4.91 % (2141986)------------------------------
% 27.75/4.91 % (2141986)------------------------------
% 27.75/4.91 % (2141990)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=2119683907:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 27.75/4.91 % (2141985)Instruction limit reached!
% 27.75/4.91 % (2141985)------------------------------
% 27.75/4.91 % (2141985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.75/4.91 % (2141985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.91 % (2141985)CaDiCaL version: 2.1.3
% 27.75/4.91 % (2141985)Termination reason: Instruction limit
% 27.75/4.91 % (2141985)Termination phase: Saturation
% 27.75/4.91 % (2141985)Time elapsed: 0.285 s
% 27.75/4.91 % (2141985)Peak memory usage: 92 MB
% 27.75/4.91 % (2141985)Instructions burned: 286 (million)
% 27.75/4.91 % (2141990)Instruction limit reached!
% 27.75/4.91 % (2141990)------------------------------
% 27.75/4.91 % (2141990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.75/4.91 % (2141990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.91 % (2141990)CaDiCaL version: 2.1.3
% 27.75/4.91 % (2141990)Termination reason: Instruction limit
% 27.75/4.91 % (2141990)Termination phase: Saturation
% 27.75/4.91 % (2141990)Time elapsed: 0.131 s
% 27.75/4.91 % (2141990)Peak memory usage: 91 MB
% 27.75/4.91 % (2141990)Instructions burned: 249 (million)
% 27.75/4.91 % (2141992)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3957639748:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 27.75/4.91 % (2141987)------------------------------
% 27.75/4.91 % (2141987)------------------------------
% 27.75/4.91 % (2141992)Refutation not found, incomplete strategy
% 27.75/4.91 % (2141992)------------------------------
% 27.75/4.91 % (2141992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.75/4.91 % (2141992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.91 % (2141992)CaDiCaL version: 2.1.3
% 27.75/4.91 % (2141992)Termination reason: Refutation not found, incomplete strategy
% 27.75/4.91 % (2141992)Time elapsed: 0.007 s
% 27.75/4.91 % (2141992)Peak memory usage: 88 MB
% 27.75/4.91 % (2141992)Instructions burned: 5 (million)
% 27.75/4.91 % (2141994)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=633596252:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 27.75/4.91 % (2141995)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4077523904:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 27.75/4.91 % (2141995)Instruction limit reached!
% 27.75/4.91 % (2141995)------------------------------
% 27.75/4.91 % (2141995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.75/4.91 % (2141995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.91 % (2141995)CaDiCaL version: 2.1.3
% 27.75/4.91 % (2141995)Termination reason: Instruction limit
% 27.75/4.91 % (2141995)Termination phase: Saturation
% 27.75/4.91 % (2141995)Time elapsed: 0.118 s
% 27.75/4.91 % (2141995)Peak memory usage: 90 MB
% 27.75/4.91 % (2141995)Instructions burned: 113 (million)
% 27.75/4.91 % (2141997)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4293770566:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 27.75/4.91 % (2141992)------------------------------
% 27.75/4.91 % (2141992)------------------------------
% 47.99/7.77 % (2141997)Instruction limit reached!
% 47.99/7.77 % (2141997)------------------------------
% 47.99/7.77 % (2141997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2141997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2141997)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2141997)Termination reason: Instruction limit
% 47.99/7.77 % (2141997)Termination phase: Saturation
% 47.99/7.77 % (2141997)Time elapsed: 0.114 s
% 47.99/7.77 % (2141997)Peak memory usage: 89 MB
% 47.99/7.77 % (2141997)Instructions burned: 128 (million)
% 47.99/7.77 % (2142001)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=674197491:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 47.99/7.77 % (2142001)Refutation not found, incomplete strategy
% 47.99/7.77 % (2142001)------------------------------
% 47.99/7.77 % (2142001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142001)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142001)Termination reason: Refutation not found, incomplete strategy
% 47.99/7.77 % (2142001)Time elapsed: 0.007 s
% 47.99/7.77 % (2142001)Peak memory usage: 89 MB
% 47.99/7.77 % (2142001)Instructions burned: 5 (million)
% 47.99/7.77 % (2142004)lrs+10_1_sil=8000:sp=occurrence:random_seed=1746591801:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 47.99/7.77 % (2142005)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2436868217:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 47.99/7.77 % (2142005)Refutation not found, incomplete strategy
% 47.99/7.77 % (2142005)------------------------------
% 47.99/7.77 % (2142005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142005)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142005)Termination reason: Refutation not found, incomplete strategy
% 47.99/7.77 % (2142005)Time elapsed: 0.008 s
% 47.99/7.77 % (2142005)Peak memory usage: 88 MB
% 47.99/7.77 % (2142005)Instructions burned: 7 (million)
% 47.99/7.77 % (2142001)------------------------------
% 47.99/7.77 % (2142001)------------------------------
% 47.99/7.77 % (2142005)------------------------------
% 47.99/7.77 % (2142005)------------------------------
% 47.99/7.77 % (2142009)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3985857658:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 47.99/7.77 % (2141994)Instruction limit reached!
% 47.99/7.77 % (2141994)------------------------------
% 47.99/7.77 % (2141994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2141994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2141994)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2141994)Termination reason: Instruction limit
% 47.99/7.77 % (2141994)Termination phase: Saturation
% 47.99/7.77 % (2141994)Time elapsed: 1.304 s
% 47.99/7.77 % (2141994)Peak memory usage: 141 MB
% 47.99/7.77 % (2141994)Instructions burned: 2351 (million)
% 47.99/7.77 % (2142012)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3170943069:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 47.99/7.77 % (2142012)Instruction limit reached!
% 47.99/7.77 % (2142012)------------------------------
% 47.99/7.77 % (2142012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142012)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142012)Termination reason: Instruction limit
% 47.99/7.77 % (2142012)Termination phase: Saturation
% 47.99/7.77 % (2142012)Time elapsed: 0.130 s
% 47.99/7.77 % (2142012)Peak memory usage: 91 MB
% 47.99/7.77 % (2142012)Instructions burned: 134 (million)
% 47.99/7.77 % (2142004)Instruction limit reached!
% 47.99/7.77 % (2142004)------------------------------
% 47.99/7.77 % (2142004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142004)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142004)Termination reason: Instruction limit
% 47.99/7.77 % (2142004)Termination phase: Saturation
% 47.99/7.77 % (2142004)Time elapsed: 0.843 s
% 47.99/7.77 % (2142004)Peak memory usage: 100 MB
% 47.99/7.77 % (2142004)Instructions burned: 907 (million)
% 47.99/7.77 % (2142015)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2902079789:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 47.99/7.77 % (2142015)Refutation not found, incomplete strategy
% 47.99/7.77 % (2142015)------------------------------
% 47.99/7.77 % (2142015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142015)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142015)Termination reason: Refutation not found, incomplete strategy
% 47.99/7.77 % (2142015)Time elapsed: 0.004 s
% 47.99/7.77 % (2142015)Peak memory usage: 88 MB
% 47.99/7.77 % (2142015)Instructions burned: 7 (million)
% 47.99/7.77 % (2142015)------------------------------
% 47.99/7.77 % (2142015)------------------------------
% 47.99/7.77 % (2142017)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3075608536:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 47.99/7.77 % (2142018)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=2485625656:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 47.99/7.77 % (2142018)Instruction limit reached!
% 47.99/7.77 % (2142018)------------------------------
% 47.99/7.77 % (2142018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142018)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142018)Termination reason: Instruction limit
% 47.99/7.77 % (2142018)Termination phase: Saturation
% 47.99/7.77 % (2142018)Time elapsed: 0.133 s
% 47.99/7.77 % (2142018)Peak memory usage: 91 MB
% 47.99/7.77 % (2142018)Instructions burned: 125 (million)
% 47.99/7.77 % (2142021)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3138996036:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 47.99/7.77 % (2142021)Instruction limit reached!
% 47.99/7.77 % (2142021)------------------------------
% 47.99/7.77 % (2142021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142021)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142021)Termination reason: Instruction limit
% 47.99/7.77 % (2142021)Termination phase: Saturation
% 47.99/7.77 % (2142021)Time elapsed: 0.073 s
% 47.99/7.77 % (2142021)Peak memory usage: 90 MB
% 47.99/7.77 % (2142021)Instructions burned: 134 (million)
% 47.99/7.77 % (2142023)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2874913440:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 47.99/7.77 % (2142023)Refutation not found, incomplete strategy
% 47.99/7.77 % (2142023)------------------------------
% 47.99/7.77 % (2142023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142023)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142023)Termination reason: Refutation not found, incomplete strategy
% 47.99/7.77 % (2142023)Time elapsed: 0.003 s
% 47.99/7.77 % (2142023)Peak memory usage: 88 MB
% 47.99/7.77 % (2142023)Instructions burned: 1 (million)
% 47.99/7.77 % (2142025)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1688000830:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/431Mi)
% 47.99/7.77 % (2142025)Refutation not found, incomplete strategy
% 47.99/7.77 % (2142025)------------------------------
% 47.99/7.77 % (2142025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142025)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142025)Termination reason: Refutation not found, incomplete strategy
% 47.99/7.77 % (2142025)Time elapsed: 0.002 s
% 47.99/7.77 % (2142025)Peak memory usage: 88 MB
% 47.99/7.77 % (2142025)Instructions burned: 2 (million)
% 47.99/7.77 % (2142025)------------------------------
% 47.99/7.77 % (2142025)------------------------------
% 47.99/7.77 % (2142023)------------------------------
% 47.99/7.77 % (2142023)------------------------------
% 47.99/7.77 % (2142028)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=3479168488:i=6060:aac=none:ins=25_2963 on theBenchmark for (2963ds/6060Mi)
% 47.99/7.77 % (2142029)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=2877880204:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2962 on theBenchmark for (2962ds/150Mi)
% 47.99/7.77 % (2142029)Instruction limit reached!
% 47.99/7.77 % (2142029)------------------------------
% 47.99/7.77 % (2142029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.99/7.77 % (2142029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.99/7.77 % (2142029)CaDiCaL version: 2.1.3
% 47.99/7.77 % (2142029)Termination reason: Instruction limit
% 47.99/7.77 % (2142029)Termination phase: Saturation
% 47.99/7.77 % (2142029)Time elapsed: 0.145 s
% 47.99/7.77 % (2142029)Peak memory usage: 91 MB
% 47.99/7.77 % (2142029)Instructions burned: 150 (million)
% 47.99/7.77 % (2142032)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1605037186:i=14155:bd=all_2958 on theBenchmark for (2958ds/14155Mi)
% 47.99/7.77 % (2142032)First to succeed.
% 47.99/7.77 % (2142032)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2141966"
% 47.99/7.77 % (2142032)Refutation found. Thanks to Tanya!
% 47.99/7.77 % SZS status Theorem for theBenchmark
% 47.99/7.77 % SZS output start Proof for theBenchmark
% See solution above
% 48.59/8.00 % (2142032)------------------------------
% 48.59/8.00 % (2142032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.59/8.00 % (2142032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.59/8.00 % (2142032)CaDiCaL version: 2.1.3
% 48.59/8.00 % (2142032)Termination reason: Refutation
% 48.59/8.00 % (2142032)Time elapsed: 1.850 s
% 48.59/8.00 % (2142032)Peak memory usage: 137 MB
% 48.59/8.00 % (2142032)Instructions burned: 1771 (million)
% 48.59/8.00 % (2142032)------------------------------
% 48.59/8.00 % (2142032)------------------------------
% 48.59/8.00 % (2141966)Success in time 6.76 s
% 48.59/8.00 % Vampire exiting
%------------------------------------------------------------------------------