%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP034+3 : 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 : n015.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 5.73s 2.05s
% Output : Refutation 6.43s
% 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(f10854,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(f13461,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(f13512,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(f13513,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(f13514,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)],[f13513]) ).
fof(f13542,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,[],[f13514]) ).
fof(f13543,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,[],[f13542]) ).
fof(f13544,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,[],[f10854]) ).
fof(f13545,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,[],[f13544]) ).
fof(f13546,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,[],[f13512]) ).
fof(f13547,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,[],[f13546]) ).
fof(f13574,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13461]) ).
fof(f13609,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)],[f13543]) ).
fof(f13611,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,[],[f13545]) ).
fof(f13612,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,[],[f13611]) ).
fof(f13613,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))],[f13612]) ).
fof(f13614,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))],[f13547]) ).
fof(f13640,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,[],[f13574]) ).
fof(f13668,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f13609]) ).
fof(f13669,plain,
v2_pre_topc(sK8),
inference(cnf_transformation,[],[f13609]) ).
fof(f13670,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f13609]) ).
fof(f13671,plain,
m2_tsp_1(sK9,sK8),
inference(cnf_transformation,[],[f13609]) ).
fof(f13672,plain,
v2_tsp_2(sK9,sK8),
inference(cnf_transformation,[],[f13609]) ).
fof(f13673,plain,
~ v3_struct_0(sK9),
inference(cnf_transformation,[],[f13609]) ).
fof(f13674,plain,
~ r1_borsuk_1(sK8,sK9),
inference(cnf_transformation,[],[f13609]) ).
fof(f13681,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,[],[f13613]) ).
fof(f13682,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,[],[f13614]) ).
fof(f13683,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,[],[f13614]) ).
fof(f13684,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,[],[f13614]) ).
fof(f13685,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,[],[f13614]) ).
fof(f13686,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,[],[f13614]) ).
fof(f13740,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13640]) ).
fof(f14074,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,[],[f13681,f13682]) ).
fof(f14075,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,[],[f14074]) ).
fof(f14076,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,[],[f14075,f13686]) ).
fof(f14077,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,[],[f14076,f13685]) ).
fof(f14078,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,[],[f14077,f13684]) ).
fof(f14079,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,[],[f14078,f13683]) ).
fof(f14080,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,[],[f14079,f13740]) ).
fof(f14216,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,[],[f14080,f13674]) ).
fof(f14223,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,[],[f14216,f13673]) ).
fof(f14224,plain,
( ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f14223,f13670]) ).
fof(f14225,plain,
( ~ l1_pre_topc(sK8)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f14224,f13669]) ).
fof(f14226,plain,
( ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8) ),
inference(forward_subsumption_resolution,[],[f14225,f13668]) ).
fof(f14227,plain,
~ m2_tsp_1(sK9,sK8),
inference(forward_subsumption_resolution,[],[f14226,f13672]) ).
fof(f14228,plain,
$false,
inference(forward_subsumption_resolution,[],[f14227,f13671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP034+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:01:20 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 5.73/2.05 % (2907187)Detected formulas, will run a generic FOF schedule.
% 5.73/2.05 % (2907198)dis-21_1_sil=8000:lcm=predicate:random_seed=4038018370:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 5.73/2.05 % (2907192)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=1695618937:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 5.73/2.05 % (2907195)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1504409733:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 5.73/2.05 % (2907193)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=3826763620:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 5.73/2.05 % (2907194)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=1007204594:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 5.73/2.05 % (2907196)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=705223853:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 5.73/2.05 % (2907197)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=128976450:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 5.73/2.05 % (2907198)Instruction limit reached!
% 5.73/2.05 % (2907198)------------------------------
% 5.73/2.05 % (2907198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.05 % (2907198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.05 % (2907198)CaDiCaL version: 2.1.3
% 5.73/2.05 % (2907198)Termination reason: Instruction limit
% 5.73/2.05 % (2907198)Termination phase: Preprocessing 1
% 5.73/2.05 % (2907198)Time elapsed: 0.059 s
% 5.73/2.05 % (2907198)Peak memory usage: 103 MB
% 5.73/2.05 % (2907198)Instructions burned: 130 (million)
% 5.73/2.05 % (2907195)Refutation not found, incomplete strategy
% 5.73/2.05 % (2907195)------------------------------
% 5.73/2.05 % (2907195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.05 % (2907195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.05 % (2907195)CaDiCaL version: 2.1.3
% 5.73/2.05 % (2907195)Termination reason: Refutation not found, incomplete strategy
% 5.73/2.05 % (2907195)Time elapsed: 0.074 s
% 5.73/2.05 % (2907195)Peak memory usage: 107 MB
% 5.73/2.05 % (2907195)Instructions burned: 92 (million)
% 5.73/2.05 % (2907197)Instruction limit reached!
% 5.73/2.05 % (2907197)------------------------------
% 5.73/2.05 % (2907197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.05 % (2907197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.05 % (2907197)CaDiCaL version: 2.1.3
% 5.73/2.05 % (2907197)Termination reason: Instruction limit
% 5.73/2.05 % (2907197)Termination phase: Property scanning
% 5.73/2.05 % (2907197)Time elapsed: 0.061 s
% 5.73/2.05 % (2907197)Peak memory usage: 102 MB
% 5.73/2.05 % (2907197)Instructions burned: 141 (million)
% 5.73/2.05 % (2907196)Instruction limit reached!
% 5.73/2.05 % (2907196)------------------------------
% 5.73/2.05 % (2907196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.05 % (2907196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.05 % (2907196)CaDiCaL version: 2.1.3
% 5.73/2.05 % (2907196)Termination reason: Instruction limit
% 5.73/2.05 % (2907196)Termination phase: Preprocessing 3
% 5.73/2.05 % (2907196)Time elapsed: 0.102 s
% 5.73/2.05 % (2907196)Peak memory usage: 105 MB
% 5.73/2.05 % (2907196)Instructions burned: 120 (million)
% 5.73/2.05 % (2907206)lrs+10_1_sil=8000:sp=occurrence:random_seed=273951884:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 5.73/2.05 % (2907207)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3731695419:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 5.73/2.05 % (2907208)lrs+1011_1_sil=32000:sp=occurrence:random_seed=417108896:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 5.73/2.05 % (2907206)Instruction limit reached!
% 5.73/2.05 % (2907206)------------------------------
% 5.73/2.05 % (2907206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.05 % (2907206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.05 % (2907206)CaDiCaL version: 2.1.3
% 5.73/2.05 % (2907206)Termination reason: Instruction limit
% 5.73/2.05 % (2907206)Termination phase: Saturation
% 5.73/2.05 % (2907206)Time elapsed: 0.103 s
% 5.73/2.05 % (2907206)Peak memory usage: 110 MB
% 5.73/2.05 % (2907206)Instructions burned: 287 (million)
% 5.73/2.05 % (2907207)Instruction limit reached!
% 5.73/2.05 % (2907207)------------------------------
% 5.73/2.05 % (2907207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.05 % (2907207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.05 % (2907207)CaDiCaL version: 2.1.3
% 5.73/2.05 % (2907207)Termination reason: Instruction limit
% 5.73/2.05 % (2907207)Termination phase: Property scanning
% 5.73/2.05 % (2907207)Time elapsed: 0.067 s
% 5.73/2.05 % (2907207)Peak memory usage: 102 MB
% 5.73/2.05 % (2907207)Instructions burned: 157 (million)
% 5.73/2.05 % (2907195)------------------------------
% 5.73/2.05 % (2907195)------------------------------
% 5.73/2.05 % (2907208)First to succeed.
% 5.73/2.05 % (2907212)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=4137156868:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 5.73/2.05 % (2907208)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2907187"
% 5.73/2.05 % (2907212)Instruction limit reached!
% 5.73/2.05 % (2907212)------------------------------
% 5.73/2.05 % (2907212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.05 % (2907212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.05 % (2907212)CaDiCaL version: 2.1.3
% 5.73/2.05 % (2907212)Termination reason: Instruction limit
% 5.73/2.05 % (2907212)Termination phase: SInE selection
% 5.73/2.05 % (2907212)Time elapsed: 0.072 s
% 5.73/2.05 % (2907212)Peak memory usage: 103 MB
% 5.73/2.05 % (2907212)Instructions burned: 249 (million)
% 5.73/2.05 % (2907213)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3753181061:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 5.73/2.05 % (2907215)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4232417051:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 5.73/2.05 % (2907216)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1616707301:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 5.73/2.05 % (2907216)Instruction limit reached!
% 5.73/2.05 % (2907216)------------------------------
% 5.73/2.05 % (2907216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.05 % (2907216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.05 % (2907216)CaDiCaL version: 2.1.3
% 5.73/2.05 % (2907216)Termination reason: Instruction limit
% 5.73/2.05 % (2907216)Termination phase: Preprocessing 3
% 5.73/2.05 % (2907216)Time elapsed: 0.057 s
% 5.73/2.05 % (2907216)Peak memory usage: 106 MB
% 5.73/2.05 % (2907216)Instructions burned: 121 (million)
% 5.73/2.05 % (2907208)Refutation found. Thanks to Tanya!
% 5.73/2.05 % SZS status Theorem for theBenchmark
% 5.73/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 6.43/2.15 % (2907208)------------------------------
% 6.43/2.15 % (2907208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.15 % (2907208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.15 % (2907208)CaDiCaL version: 2.1.3
% 6.43/2.15 % (2907208)Termination reason: Refutation
% 6.43/2.15 % (2907208)Time elapsed: 0.094 s
% 6.43/2.15 % (2907208)Peak memory usage: 107 MB
% 6.43/2.15 % (2907208)Instructions burned: 118 (million)
% 6.43/2.15 % (2907208)------------------------------
% 6.43/2.15 % (2907208)------------------------------
% 6.43/2.15 % (2907187)Success in time 1.395 s
% 6.43/2.15 % Vampire exiting
%------------------------------------------------------------------------------