%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP034+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12.04s 5.04s
% Output : Refutation 13.75s
% 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(f26596,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/sandbox2/benchmark/theBenchmark.p',d20_borsuk_1) ).
fof(f34366,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f34417,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/sandbox2/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f34418,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/sandbox2/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(f34419,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)],[f34418]) ).
fof(f34447,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,[],[f34419]) ).
fof(f34448,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,[],[f34447]) ).
fof(f34449,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,[],[f26596]) ).
fof(f34450,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,[],[f34449]) ).
fof(f34451,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,[],[f34417]) ).
fof(f34452,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,[],[f34451]) ).
fof(f34479,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f34366]) ).
fof(f34514,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)],[f34448]) ).
fof(f34516,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,[],[f34450]) ).
fof(f34517,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,[],[f34516]) ).
fof(f34518,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))],[f34517]) ).
fof(f34519,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))],[f34452]) ).
fof(f34545,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,[],[f34479]) ).
fof(f34573,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f34514]) ).
fof(f34574,plain,
v2_pre_topc(sK8),
inference(cnf_transformation,[],[f34514]) ).
fof(f34575,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f34514]) ).
fof(f34576,plain,
m2_tsp_1(sK9,sK8),
inference(cnf_transformation,[],[f34514]) ).
fof(f34577,plain,
v2_tsp_2(sK9,sK8),
inference(cnf_transformation,[],[f34514]) ).
fof(f34578,plain,
~ v3_struct_0(sK9),
inference(cnf_transformation,[],[f34514]) ).
fof(f34579,plain,
~ r1_borsuk_1(sK8,sK9),
inference(cnf_transformation,[],[f34514]) ).
fof(f34586,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,[],[f34518]) ).
fof(f34587,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,[],[f34519]) ).
fof(f34588,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,[],[f34519]) ).
fof(f34589,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,[],[f34519]) ).
fof(f34590,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,[],[f34519]) ).
fof(f34591,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,[],[f34519]) ).
fof(f34645,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f34545]) ).
fof(f34979,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,[],[f34586,f34587]) ).
fof(f34980,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,[],[f34979]) ).
fof(f34981,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,[],[f34980,f34591]) ).
fof(f34982,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,[],[f34981,f34590]) ).
fof(f34983,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,[],[f34982,f34589]) ).
fof(f34984,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,[],[f34983,f34588]) ).
fof(f34985,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,[],[f34984,f34645]) ).
fof(f35121,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,[],[f34985,f34579]) ).
fof(f35128,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,[],[f35121,f34578]) ).
fof(f35129,plain,
( ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f35128,f34575]) ).
fof(f35130,plain,
( ~ l1_pre_topc(sK8)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f35129,f34574]) ).
fof(f35131,plain,
( ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f35130,f34573]) ).
fof(f35132,plain,
~ m2_tsp_1(sK9,sK8),
inference(forward_subsumption_resolution,[],[f35131,f34577]) ).
fof(f35133,plain,
$false,
inference(forward_subsumption_resolution,[],[f35132,f34576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP034+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n010.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 18:58:22 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.04/5.04 % (2207259)Detected formulas, will run a generic FOF schedule.
% 12.04/5.04 % (2207268)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4255438619:i=119:av=off:ss=axioms_2974 on theBenchmark for (2974ds/119Mi)
% 12.04/5.04 % (2207265)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=3115544544:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2974 on theBenchmark for (2974ds/134677Mi)
% 12.04/5.04 % (2207266)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=1391663125:i=141695:sd=1:nm=32:gsp=on:ss=included_2974 on theBenchmark for (2974ds/141695Mi)
% 12.04/5.04 % (2207264)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=3391709762:i=141193_2974 on theBenchmark for (2974ds/141193Mi)
% 12.04/5.04 % (2207268)Instruction limit reached!
% 12.04/5.04 % (2207268)------------------------------
% 12.04/5.04 % (2207268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207268)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207268)Termination reason: Instruction limit
% 12.04/5.04 % (2207268)Termination phase: SInE selection
% 12.04/5.04 % (2207268)Time elapsed: 0.073 s
% 12.04/5.04 % (2207268)Peak memory usage: 136 MB
% 12.04/5.04 % (2207268)Instructions burned: 120 (million)
% 12.04/5.04 % (2207269)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2898123319:s2a=on:i=139:gtg=position_2974 on theBenchmark for (2974ds/139Mi)
% 12.04/5.04 % (2207270)dis-21_1_sil=8000:lcm=predicate:random_seed=1281588683:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2974 on theBenchmark for (2974ds/129Mi)
% 12.04/5.04 % (2207267)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1073910323:i=109:sd=1:ins=1:gsp=on:ss=axioms_2974 on theBenchmark for (2974ds/109Mi)
% 12.04/5.04 % (2207269)Instruction limit reached!
% 12.04/5.04 % (2207269)------------------------------
% 12.04/5.04 % (2207269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207269)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207269)Termination reason: Instruction limit
% 12.04/5.04 % (2207269)Termination phase: Property scanning
% 12.04/5.04 % (2207269)Time elapsed: 0.118 s
% 12.04/5.04 % (2207269)Peak memory usage: 136 MB
% 12.04/5.04 % (2207269)Instructions burned: 140 (million)
% 12.04/5.04 % (2207267)Instruction limit reached!
% 12.04/5.04 % (2207267)------------------------------
% 12.04/5.04 % (2207267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207267)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207267)Termination reason: Instruction limit
% 12.04/5.04 % (2207267)Termination phase: SInE selection
% 12.04/5.04 % (2207267)Time elapsed: 0.128 s
% 12.04/5.04 % (2207267)Peak memory usage: 136 MB
% 12.04/5.04 % (2207267)Instructions burned: 112 (million)
% 12.04/5.04 % (2207270)Instruction limit reached!
% 12.04/5.04 % (2207270)------------------------------
% 12.04/5.04 % (2207270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207270)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207270)Termination reason: Instruction limit
% 12.04/5.04 % (2207270)Termination phase: SInE selection
% 12.04/5.04 % (2207270)Time elapsed: 0.132 s
% 12.04/5.04 % (2207270)Peak memory usage: 136 MB
% 12.04/5.04 % (2207270)Instructions burned: 129 (million)
% 12.04/5.04 % (2207275)lrs+10_1_sil=8000:sp=occurrence:random_seed=551189556:i=285:sd=3:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/285Mi)
% 12.04/5.04 % (2207279)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1513091297:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/157Mi)
% 12.04/5.04 % (2207280)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1702256872:i=325:sd=1:ss=axioms:sgt=32_2970 on theBenchmark for (2970ds/325Mi)
% 12.04/5.04 % (2207279)Instruction limit reached!
% 12.04/5.04 % (2207279)------------------------------
% 12.04/5.04 % (2207279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207279)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207279)Termination reason: Instruction limit
% 12.04/5.04 % (2207279)Termination phase: Property scanning
% 12.04/5.04 % (2207279)Time elapsed: 0.068 s
% 12.04/5.04 % (2207279)Peak memory usage: 136 MB
% 12.04/5.04 % (2207279)Instructions burned: 160 (million)
% 12.04/5.04 % (2207281)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=557800548:s2a=on:i=248:s2at=1.23:gtg=position_2970 on theBenchmark for (2970ds/248Mi)
% 12.04/5.04 % (2207275)Instruction limit reached!
% 12.04/5.04 % (2207275)------------------------------
% 12.04/5.04 % (2207275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207275)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207275)Termination reason: Instruction limit
% 12.04/5.04 % (2207275)Termination phase: Preprocessing 3
% 12.04/5.04 % (2207275)Time elapsed: 0.352 s
% 12.04/5.04 % (2207275)Peak memory usage: 139 MB
% 12.04/5.04 % (2207275)Instructions burned: 285 (million)
% 12.04/5.04 % (2207286)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=958915643:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2967 on theBenchmark for (2967ds/294Mi)
% 12.04/5.04 % (2207281)Instruction limit reached!
% 12.04/5.04 % (2207281)------------------------------
% 12.04/5.04 % (2207281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207281)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207281)Termination reason: Instruction limit
% 12.04/5.04 % (2207281)Termination phase: Property scanning
% 12.04/5.04 % (2207281)Time elapsed: 0.208 s
% 12.04/5.04 % (2207281)Peak memory usage: 136 MB
% 12.04/5.04 % (2207281)Instructions burned: 249 (million)
% 12.04/5.04 % (2207280)First to succeed.
% 12.04/5.04 % (2207280)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2207259"
% 12.04/5.04 % (2207286)Instruction limit reached!
% 12.04/5.04 % (2207286)------------------------------
% 12.04/5.04 % (2207286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207286)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207286)Termination reason: Instruction limit
% 12.04/5.04 % (2207286)Termination phase: SInE selection
% 12.04/5.04 % (2207286)Time elapsed: 0.152 s
% 12.04/5.04 % (2207286)Peak memory usage: 136 MB
% 12.04/5.04 % (2207286)Instructions burned: 295 (million)
% 12.04/5.04 % (2207291)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3941298347:cts=off:i=113:fsr=off:ss=included:sgt=4_2965 on theBenchmark for (2965ds/113Mi)
% 12.04/5.04 % (2207289)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1742632752:i=2350_2965 on theBenchmark for (2965ds/2350Mi)
% 12.04/5.04 % (2207291)Instruction limit reached!
% 12.04/5.04 % (2207291)------------------------------
% 12.04/5.04 % (2207291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.04/5.04 % (2207291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.04/5.04 % (2207291)CaDiCaL version: 2.1.3
% 12.04/5.04 % (2207291)Termination reason: Instruction limit
% 12.04/5.04 % (2207291)Termination phase: SInE selection
% 12.04/5.04 % (2207291)Time elapsed: 0.070 s
% 12.04/5.04 % (2207291)Peak memory usage: 135 MB
% 12.04/5.04 % (2207291)Instructions burned: 114 (million)
% 12.04/5.04 % (2207292)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1271708763:i=127:av=off:fsr=off:sup=off_2963 on theBenchmark for (2963ds/127Mi)
% 12.04/5.04 % (2207280)Refutation found. Thanks to Tanya!
% 12.04/5.04 % SZS status Theorem for theBenchmark
% 12.04/5.04 % SZS output start Proof for theBenchmark
% See solution above
% 13.75/5.37 % (2207280)------------------------------
% 13.75/5.37 % (2207280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.75/5.37 % (2207280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.75/5.37 % (2207280)CaDiCaL version: 2.1.3
% 13.75/5.37 % (2207280)Termination reason: Refutation
% 13.75/5.37 % (2207280)Time elapsed: 0.324 s
% 13.75/5.37 % (2207280)Peak memory usage: 142 MB
% 13.75/5.37 % (2207280)Instructions burned: 282 (million)
% 13.75/5.37 % (2207280)------------------------------
% 13.75/5.37 % (2207280)------------------------------
% 13.75/5.37 % (2207259)Success in time 4.014 s
% 13.75/5.37 % Vampire exiting
%------------------------------------------------------------------------------