%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP034+2 : 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 : n020.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 02:33:58 PM UTC 2026
% Result : Theorem 4.58s 1.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 46 ( 9 unt; 0 def)
% Number of atoms : 325 ( 0 equ)
% Maximal formula atoms : 17 ( 7 avg)
% Number of connectives : 447 ( 168 ~; 188 |; 77 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 74 ( 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2769,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& m1_pre_topc(X1,X0) )
=> ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).
fof(f3567,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f3618,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f3619,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> r1_borsuk_1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(f3620,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> r1_borsuk_1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f3619]) ).
fof(f3648,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3620]) ).
fof(f3649,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f3648]) ).
fof(f3650,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2769]) ).
fof(f3651,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3650]) ).
fof(f3652,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3618]) ).
fof(f3653,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3652]) ).
fof(f3680,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3567]) ).
fof(f3715,plain,
( ~ r1_borsuk_1(sK8,sK9)
& ~ v3_struct_0(sK9)
& v2_tsp_2(sK9,sK8)
& m2_tsp_1(sK9,sK8)
& ~ v3_struct_0(sK8)
& v2_pre_topc(sK8)
& l1_pre_topc(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f3649]) ).
fof(f3717,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_borsuk_1(X2,X0,X1) ) )
& ( ? [X2] :
( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X2,X0,X1) )
| ~ r1_borsuk_1(X0,X1) ) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3651]) ).
fof(f3718,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_borsuk_1(X2,X0,X1) ) )
& ( ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X3,X0,X1)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(X3,X0,X1) )
| ~ r1_borsuk_1(X0,X1) ) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f3717]) ).
fof(f3719,plain,
! [X0] :
( ! [X1] :
( ( ( r1_borsuk_1(X0,X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_borsuk_1(X2,X0,X1) ) )
& ( ( v1_funct_1(sK11(X0,X1))
& v1_funct_2(sK11(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK11(X0,X1),X0,X1)
& m2_relset_1(sK11(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(sK11(X0,X1),X0,X1) )
| ~ r1_borsuk_1(X0,X1) ) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f3718]) ).
fof(f3720,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(sK12(X0,X1))
& v1_funct_2(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK12(X0,X1),X0,X1)
& m2_relset_1(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(sK12(X0,X1),X0,X1) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f3653]) ).
fof(f3746,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3680]) ).
fof(f3774,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f3715]) ).
fof(f3775,plain,
v2_pre_topc(sK8),
inference(cnf_transformation,[],[f3715]) ).
fof(f3776,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f3715]) ).
fof(f3777,plain,
m2_tsp_1(sK9,sK8),
inference(cnf_transformation,[],[f3715]) ).
fof(f3778,plain,
v2_tsp_2(sK9,sK8),
inference(cnf_transformation,[],[f3715]) ).
fof(f3779,plain,
~ v3_struct_0(sK9),
inference(cnf_transformation,[],[f3715]) ).
fof(f3780,plain,
~ r1_borsuk_1(sK8,sK9),
inference(cnf_transformation,[],[f3715]) ).
fof(f3787,plain,
! [X2,X0,X1] :
( ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| r1_borsuk_1(X0,X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3719]) ).
fof(f3788,plain,
! [X0,X1] :
( v3_borsuk_1(sK12(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3720]) ).
fof(f3789,plain,
! [X0,X1] :
( m2_relset_1(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3720]) ).
fof(f3790,plain,
! [X0,X1] :
( v5_pre_topc(sK12(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3720]) ).
fof(f3791,plain,
! [X0,X1] :
( v1_funct_2(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3720]) ).
fof(f3792,plain,
! [X0,X1] :
( v1_funct_1(sK12(X0,X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3720]) ).
fof(f3846,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3746]) ).
fof(f4180,plain,
! [X0,X1] :
( ~ v1_funct_1(sK12(X0,X1))
| ~ v1_funct_2(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(sK12(X0,X1),X0,X1)
| ~ m2_relset_1(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| r1_borsuk_1(X0,X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f3787,f3788]) ).
fof(f4181,plain,
! [X0,X1] :
( ~ v1_funct_1(sK12(X0,X1))
| ~ v1_funct_2(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(sK12(X0,X1),X0,X1)
| ~ m2_relset_1(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| r1_borsuk_1(X0,X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) ),
inference(duplicate_literal_removal,[],[f4180]) ).
fof(f4182,plain,
! [X0,X1] :
( ~ v1_funct_2(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(sK12(X0,X1),X0,X1)
| ~ m2_relset_1(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| r1_borsuk_1(X0,X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f4181,f3792]) ).
fof(f4183,plain,
! [X0,X1] :
( ~ v5_pre_topc(sK12(X0,X1),X0,X1)
| ~ m2_relset_1(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| r1_borsuk_1(X0,X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f4182,f3791]) ).
fof(f4184,plain,
! [X0,X1] :
( ~ m2_relset_1(sK12(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| r1_borsuk_1(X0,X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f4183,f3790]) ).
fof(f4185,plain,
! [X0,X1] :
( r1_borsuk_1(X0,X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f4184,f3789]) ).
fof(f4186,plain,
! [X0,X1] :
( r1_borsuk_1(X0,X1)
| v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) ),
inference(forward_subsumption_resolution,[],[f4185,f3846]) ).
fof(f4322,plain,
( v3_struct_0(sK9)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(resolution,[],[f4186,f3780]) ).
fof(f4329,plain,
( v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f4322,f3779]) ).
fof(f4330,plain,
( ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f4329,f3776]) ).
fof(f4331,plain,
( ~ l1_pre_topc(sK8)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f4330,f3775]) ).
fof(f4332,plain,
( ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f4331,f3774]) ).
fof(f4333,plain,
~ m2_tsp_1(sK9,sK8),
inference(forward_subsumption_resolution,[],[f4332,f3778]) ).
fof(f4334,plain,
$false,
inference(forward_subsumption_resolution,[],[f4333,f3777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP034+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n020.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 18:58:50 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 4.58/1.51 % (428524)Detected formulas, will run a generic FOF schedule.
% 4.58/1.51 % (428532)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3465949763:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.58/1.51 % (428532)Refutation not found, incomplete strategy
% 4.58/1.51 % (428532)------------------------------
% 4.58/1.51 % (428532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.51 % (428532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.51 % (428532)CaDiCaL version: 2.1.3
% 4.58/1.51 % (428532)Termination reason: Refutation not found, incomplete strategy
% 4.58/1.51 % (428532)Time elapsed: 0.014 s
% 4.58/1.51 % (428532)Peak memory usage: 93 MB
% 4.58/1.51 % (428532)Instructions burned: 31 (million)
% 4.58/1.51 % (428535)dis-21_1_sil=8000:lcm=predicate:random_seed=3867676937:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 4.58/1.51 % (428531)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=1453097280:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.58/1.51 % (428529)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=1745241345:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.58/1.51 % (428534)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1442231523:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.58/1.51 % (428530)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=2622596962:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.58/1.51 % (428533)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4108490778:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.58/1.51 % (428533)Instruction limit reached!
% 4.58/1.51 % (428533)------------------------------
% 4.58/1.51 % (428533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.51 % (428533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.51 % (428533)CaDiCaL version: 2.1.3
% 4.58/1.51 % (428533)Termination reason: Instruction limit
% 4.58/1.51 % (428533)Termination phase: Property scanning
% 4.58/1.51 % (428533)Time elapsed: 0.071 s
% 4.58/1.51 % (428533)Peak memory usage: 93 MB
% 4.58/1.51 % (428533)Instructions burned: 120 (million)
% 4.58/1.51 % (428535)Instruction limit reached!
% 4.58/1.51 % (428535)------------------------------
% 4.58/1.51 % (428535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.51 % (428535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.51 % (428535)CaDiCaL version: 2.1.3
% 4.58/1.51 % (428535)Termination reason: Instruction limit
% 4.58/1.51 % (428535)Termination phase: Preprocessing 3
% 4.58/1.51 % (428535)Time elapsed: 0.090 s
% 4.58/1.51 % (428535)Peak memory usage: 94 MB
% 4.58/1.51 % (428535)Instructions burned: 130 (million)
% 4.58/1.51 % (428534)Instruction limit reached!
% 4.58/1.51 % (428534)------------------------------
% 4.58/1.51 % (428534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.51 % (428534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.51 % (428534)CaDiCaL version: 2.1.3
% 4.58/1.51 % (428534)Termination reason: Instruction limit
% 4.58/1.51 % (428534)Termination phase: Preprocessing 3
% 4.58/1.51 % (428534)Time elapsed: 0.094 s
% 4.58/1.51 % (428534)Peak memory usage: 94 MB
% 4.58/1.51 % (428534)Instructions burned: 140 (million)
% 4.58/1.51 % (428532)------------------------------
% 4.58/1.51 % (428532)------------------------------
% 4.58/1.51 % (428543)lrs+10_1_sil=8000:sp=occurrence:random_seed=2033171877:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.58/1.51 % (428544)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2021952208:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.58/1.51 % (428545)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2525889262:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.58/1.51 % (428546)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=2962487438:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.58/1.51 % (428545)First to succeed.
% 4.58/1.51 % (428545)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-428524"
% 4.58/1.51 % (428544)Instruction limit reached!
% 4.58/1.51 % (428544)------------------------------
% 4.58/1.51 % (428544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.51 % (428544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.51 % (428544)CaDiCaL version: 2.1.3
% 4.58/1.51 % (428544)Termination reason: Instruction limit
% 4.58/1.51 % (428544)Termination phase: Saturation
% 4.58/1.51 % (428544)Time elapsed: 0.086 s
% 4.58/1.51 % (428544)Peak memory usage: 93 MB
% 4.58/1.51 % (428544)Instructions burned: 158 (million)
% 4.58/1.51 % (428546)Instruction limit reached!
% 4.58/1.51 % (428546)------------------------------
% 4.58/1.51 % (428546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.51 % (428546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.51 % (428546)CaDiCaL version: 2.1.3
% 4.58/1.51 % (428546)Termination reason: Instruction limit
% 4.58/1.51 % (428546)Termination phase: Property scanning
% 4.58/1.51 % (428546)Time elapsed: 0.077 s
% 4.58/1.51 % (428546)Peak memory usage: 98 MB
% 4.58/1.51 % (428546)Instructions burned: 249 (million)
% 4.58/1.51 % (428543)Instruction limit reached!
% 4.58/1.51 % (428543)------------------------------
% 4.58/1.51 % (428543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.51 % (428543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.51 % (428543)CaDiCaL version: 2.1.3
% 4.58/1.51 % (428543)Termination reason: Instruction limit
% 4.58/1.51 % (428543)Termination phase: Saturation
% 4.58/1.51 % (428543)Time elapsed: 0.177 s
% 4.58/1.51 % (428543)Peak memory usage: 97 MB
% 4.58/1.51 % (428543)Instructions burned: 286 (million)
% 4.58/1.51 % (428552)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3613574341:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 4.58/1.51 % (428551)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3840748805:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 4.58/1.51 % (428545)Refutation found. Thanks to Tanya!
% 4.58/1.51 % SZS status Theorem for theBenchmark
% 4.58/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.71 % (428545)------------------------------
% 0.19/1.71 % (428545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.71 % (428545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.71 % (428545)CaDiCaL version: 2.1.3
% 0.19/1.71 % (428545)Termination reason: Refutation
% 0.19/1.71 % (428545)Time elapsed: 0.043 s
% 0.19/1.71 % (428545)Peak memory usage: 93 MB
% 0.19/1.71 % (428545)Instructions burned: 60 (million)
% 0.19/1.71 % (428545)------------------------------
% 0.19/1.71 % (428545)------------------------------
% 0.19/1.71 % (428524)Success in time 0.858 s
% 0.19/1.71 % Vampire exiting
%------------------------------------------------------------------------------