%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP035+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 02:33:59 PM UTC 2026
% Result : Theorem 10.57s 2.94s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 105 ( 20 unt; 5 def)
% Number of atoms : 547 ( 29 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 760 ( 318 ~; 345 |; 65 &)
% ( 10 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 79 ( 0 sgn 71 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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(f13464,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f13514,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)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( X3 = X4
=> k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l33_tsp_2) ).
fof(f13519,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)) )
=> ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_tsp_2) ).
fof(f13520,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) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_tsp_2) ).
fof(f13521,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) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13520]) ).
fof(f13576,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f13464]) ).
fof(f13577,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f13576]) ).
fof(f13676,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ 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)) )
| 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(f13677,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ 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)) )
| 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,[],[f13676]) ).
fof(f13686,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_tsp_2(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)) )
| 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,[],[f13519]) ).
fof(f13687,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_tsp_2(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)) )
| 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,[],[f13686]) ).
fof(f13688,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k6_pre_topc(X0,k1_struct_0(X0,X2)) != k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3)))
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(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(ennf_transformation,[],[f13521]) ).
fof(f13689,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k6_pre_topc(X0,k1_struct_0(X0,X2)) != k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3)))
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(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(flattening,[],[f13688]) ).
fof(f14169,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13461]) ).
fof(f14463,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_tsp_2(X0,X1)
| ~ v3_borsuk_1(X2,X0,X1) )
& ( v3_borsuk_1(X2,X0,X1)
| k1_tsp_2(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_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(nnf_transformation,[],[f13687]) ).
fof(f14464,plain,
( k6_pre_topc(sK51,k1_struct_0(sK51,sK53)) != k5_pre_topc(sK51,sK52,k1_tsp_2(sK51,sK52),k6_pre_topc(sK52,k1_struct_0(sK52,sK54)))
& sK53 = sK54
& m1_subset_1(sK54,u1_struct_0(sK52))
& m1_subset_1(sK53,u1_struct_0(sK51))
& ~ v3_struct_0(sK52)
& v2_tsp_2(sK52,sK51)
& m2_tsp_1(sK52,sK51)
& ~ v3_struct_0(sK51)
& v2_pre_topc(sK51)
& l1_pre_topc(sK51) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54]),skolemize(X0,sK51),skolemize(X1,sK52),skolemize(X2,sK53),skolemize(X3,sK54)],[f13689]) ).
fof(f14651,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,[],[f14169]) ).
fof(f14770,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13577]) ).
fof(f14771,plain,
! [X0,X1] :
( v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13577]) ).
fof(f14772,plain,
! [X0,X1] :
( v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13577]) ).
fof(f14773,plain,
! [X0,X1] :
( v1_funct_1(k1_tsp_2(X0,X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f13577]) ).
fof(f14926,plain,
! [X2,X3,X0,X1,X4] :
( k6_pre_topc(X0,k1_struct_0(X0,X3)) = k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4)))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ 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))
| 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,[],[f13677]) ).
fof(f14931,plain,
! [X2,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| k1_tsp_2(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_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,[],[f14463]) ).
fof(f14933,plain,
l1_pre_topc(sK51),
inference(cnf_transformation,[],[f14464]) ).
fof(f14934,plain,
v2_pre_topc(sK51),
inference(cnf_transformation,[],[f14464]) ).
fof(f14935,plain,
~ v3_struct_0(sK51),
inference(cnf_transformation,[],[f14464]) ).
fof(f14936,plain,
m2_tsp_1(sK52,sK51),
inference(cnf_transformation,[],[f14464]) ).
fof(f14937,plain,
v2_tsp_2(sK52,sK51),
inference(cnf_transformation,[],[f14464]) ).
fof(f14938,plain,
~ v3_struct_0(sK52),
inference(cnf_transformation,[],[f14464]) ).
fof(f14939,plain,
m1_subset_1(sK53,u1_struct_0(sK51)),
inference(cnf_transformation,[],[f14464]) ).
fof(f14940,plain,
m1_subset_1(sK54,u1_struct_0(sK52)),
inference(cnf_transformation,[],[f14464]) ).
fof(f14941,plain,
sK53 = sK54,
inference(cnf_transformation,[],[f14464]) ).
fof(f14942,plain,
k6_pre_topc(sK51,k1_struct_0(sK51,sK53)) != k5_pre_topc(sK51,sK52,k1_tsp_2(sK51,sK52),k6_pre_topc(sK52,k1_struct_0(sK52,sK54))),
inference(cnf_transformation,[],[f14464]) ).
fof(f15560,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f14651]) ).
fof(f16040,plain,
! [X2,X0,X1,X4] :
( k6_pre_topc(X0,k1_struct_0(X0,X4)) = k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ 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))
| 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(equality_resolution,[],[f14926]) ).
fof(f16045,plain,
! [X0,X1] :
( ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(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(equality_resolution,[],[f14931]) ).
fof(f16177,definition,
( spl217_3
<=> m1_pre_topc(sK52,sK51) ),
introduced(definition,[new_symbols(definition,[spl217_3])],[avatar_definition]) ).
fof(f16178,plain,
( ~ m1_pre_topc(sK52,sK51)
| spl217_3 ),
inference(avatar_component_clause,[],[f16177]) ).
fof(f16215,plain,
( ~ m2_tsp_1(sK52,sK51)
| ~ l1_pre_topc(sK51)
| spl217_3 ),
inference(resolution,[],[f16178,f15560]) ).
fof(f16218,plain,
( ~ l1_pre_topc(sK51)
| spl217_3 ),
inference(forward_subsumption_resolution,[],[f16215,f14936]) ).
fof(f16223,plain,
( $false
| spl217_3 ),
inference(forward_subsumption_resolution,[],[f16218,f14933]) ).
fof(f16224,plain,
spl217_3,
inference(avatar_contradiction_clause,[],[f16223]) ).
fof(f16230,plain,
m1_subset_1(sK53,u1_struct_0(sK52)),
inference(forward_demodulation,[],[f14940,f14941]) ).
fof(f16315,plain,
k6_pre_topc(sK51,k1_struct_0(sK51,sK53)) != k5_pre_topc(sK51,sK52,k1_tsp_2(sK51,sK52),k6_pre_topc(sK52,k1_struct_0(sK52,sK53))),
inference(forward_demodulation,[],[f14942,f14941]) ).
fof(f16347,plain,
( k6_pre_topc(sK51,k1_struct_0(sK51,sK53)) != k6_pre_topc(sK51,k1_struct_0(sK51,sK53))
| ~ m1_subset_1(sK53,u1_struct_0(sK52))
| ~ m1_subset_1(sK53,u1_struct_0(sK51))
| ~ v3_borsuk_1(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m2_tsp_1(sK52,sK51)
| v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(superposition,[],[f16315,f16040]) ).
fof(f16349,plain,
( ~ m1_subset_1(sK53,u1_struct_0(sK52))
| ~ m1_subset_1(sK53,u1_struct_0(sK51))
| ~ v3_borsuk_1(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m2_tsp_1(sK52,sK51)
| v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(trivial_inequality_removal,[],[f16347]) ).
fof(f16351,plain,
( ~ m1_subset_1(sK53,u1_struct_0(sK52))
| ~ m1_subset_1(sK53,u1_struct_0(sK51))
| ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m2_tsp_1(sK52,sK51)
| v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(forward_subsumption_resolution,[],[f16349,f16045]) ).
fof(f16359,plain,
( ~ m1_subset_1(sK53,u1_struct_0(sK51))
| ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m2_tsp_1(sK52,sK51)
| v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(forward_subsumption_resolution,[],[f16351,f16230]) ).
fof(f16380,plain,
( ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m2_tsp_1(sK52,sK51)
| v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(forward_subsumption_resolution,[],[f16359,f14939]) ).
fof(f16386,plain,
( ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v2_tsp_2(sK52,sK51)
| ~ m2_tsp_1(sK52,sK51)
| v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(forward_subsumption_resolution,[],[f16380,f14938]) ).
fof(f16388,plain,
( ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ m2_tsp_1(sK52,sK51)
| v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(forward_subsumption_resolution,[],[f16386,f14937]) ).
fof(f16390,plain,
( ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(forward_subsumption_resolution,[],[f16388,f14936]) ).
fof(f16392,plain,
( ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51) ),
inference(forward_subsumption_resolution,[],[f16390,f14935]) ).
fof(f16394,definition,
( spl217_23
<=> m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52)) ),
introduced(definition,[new_symbols(definition,[spl217_23])],[avatar_definition]) ).
fof(f16395,plain,
( ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| spl217_23 ),
inference(avatar_component_clause,[],[f16394]) ).
fof(f16397,definition,
( spl217_24
<=> v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52) ),
introduced(definition,[new_symbols(definition,[spl217_24])],[avatar_definition]) ).
fof(f16398,plain,
( ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| spl217_24 ),
inference(avatar_component_clause,[],[f16397]) ).
fof(f16400,definition,
( spl217_25
<=> v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52)) ),
introduced(definition,[new_symbols(definition,[spl217_25])],[avatar_definition]) ).
fof(f16401,plain,
( ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| spl217_25 ),
inference(avatar_component_clause,[],[f16400]) ).
fof(f16403,definition,
( spl217_26
<=> v1_funct_1(k1_tsp_2(sK51,sK52)) ),
introduced(definition,[new_symbols(definition,[spl217_26])],[avatar_definition]) ).
fof(f16404,plain,
( ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| spl217_26 ),
inference(avatar_component_clause,[],[f16403]) ).
fof(f16415,plain,
( ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ l1_pre_topc(sK51) ),
inference(forward_subsumption_resolution,[],[f16392,f14934]) ).
fof(f16416,plain,
( ~ v1_funct_1(k1_tsp_2(sK51,sK52))
| ~ v1_funct_2(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52))
| ~ v5_pre_topc(k1_tsp_2(sK51,sK52),sK51,sK52)
| ~ m2_relset_1(k1_tsp_2(sK51,sK52),u1_struct_0(sK51),u1_struct_0(sK52)) ),
inference(forward_subsumption_resolution,[],[f16415,f14933]) ).
fof(f16417,plain,
( ~ spl217_23
| ~ spl217_24
| ~ spl217_25
| ~ spl217_26 ),
inference(avatar_split_clause,[],[f16416,f16403,f16400,f16397,f16394]) ).
fof(f16501,plain,
( v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_26 ),
inference(resolution,[],[f16404,f14773]) ).
fof(f16503,plain,
( ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_26 ),
inference(forward_subsumption_resolution,[],[f16501,f14935]) ).
fof(f16504,plain,
( ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_26 ),
inference(forward_subsumption_resolution,[],[f16503,f14934]) ).
fof(f16505,plain,
( v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_26 ),
inference(forward_subsumption_resolution,[],[f16504,f14933]) ).
fof(f16506,plain,
( ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_26 ),
inference(forward_subsumption_resolution,[],[f16505,f14938]) ).
fof(f16507,plain,
( ~ m1_pre_topc(sK52,sK51)
| spl217_26 ),
inference(forward_subsumption_resolution,[],[f16506,f14937]) ).
fof(f16508,plain,
( ~ spl217_3
| spl217_26 ),
inference(avatar_split_clause,[],[f16507,f16403,f16177]) ).
fof(f16520,plain,
( v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_23 ),
inference(resolution,[],[f16395,f14770]) ).
fof(f16548,plain,
( ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_23 ),
inference(forward_subsumption_resolution,[],[f16520,f14935]) ).
fof(f16549,plain,
( ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_23 ),
inference(forward_subsumption_resolution,[],[f16548,f14934]) ).
fof(f16550,plain,
( v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_23 ),
inference(forward_subsumption_resolution,[],[f16549,f14933]) ).
fof(f16551,plain,
( ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_23 ),
inference(forward_subsumption_resolution,[],[f16550,f14938]) ).
fof(f16552,plain,
( ~ m1_pre_topc(sK52,sK51)
| spl217_23 ),
inference(forward_subsumption_resolution,[],[f16551,f14937]) ).
fof(f16553,plain,
( ~ spl217_3
| spl217_23 ),
inference(avatar_split_clause,[],[f16552,f16394,f16177]) ).
fof(f16556,plain,
( v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_24 ),
inference(resolution,[],[f16398,f14771]) ).
fof(f16557,plain,
( ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_24 ),
inference(forward_subsumption_resolution,[],[f16556,f14935]) ).
fof(f16558,plain,
( ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_24 ),
inference(forward_subsumption_resolution,[],[f16557,f14934]) ).
fof(f16559,plain,
( v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_24 ),
inference(forward_subsumption_resolution,[],[f16558,f14933]) ).
fof(f16560,plain,
( ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_24 ),
inference(forward_subsumption_resolution,[],[f16559,f14938]) ).
fof(f16561,plain,
( ~ m1_pre_topc(sK52,sK51)
| spl217_24 ),
inference(forward_subsumption_resolution,[],[f16560,f14937]) ).
fof(f16562,plain,
( ~ spl217_3
| spl217_24 ),
inference(avatar_split_clause,[],[f16561,f16397,f16177]) ).
fof(f16563,plain,
( v3_struct_0(sK51)
| ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_25 ),
inference(resolution,[],[f16401,f14772]) ).
fof(f16564,plain,
( ~ v2_pre_topc(sK51)
| ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_25 ),
inference(forward_subsumption_resolution,[],[f16563,f14935]) ).
fof(f16565,plain,
( ~ l1_pre_topc(sK51)
| v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_25 ),
inference(forward_subsumption_resolution,[],[f16564,f14934]) ).
fof(f16566,plain,
( v3_struct_0(sK52)
| ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_25 ),
inference(forward_subsumption_resolution,[],[f16565,f14933]) ).
fof(f16567,plain,
( ~ v2_tsp_2(sK52,sK51)
| ~ m1_pre_topc(sK52,sK51)
| spl217_25 ),
inference(forward_subsumption_resolution,[],[f16566,f14938]) ).
fof(f16568,plain,
( ~ m1_pre_topc(sK52,sK51)
| spl217_25 ),
inference(forward_subsumption_resolution,[],[f16567,f14937]) ).
fof(f16569,plain,
( ~ spl217_3
| spl217_25 ),
inference(avatar_split_clause,[],[f16568,f16400,f16177]) ).
cnf(s12,plain,
spl217_3,
inference(sat_conversion,[],[f16224]) ).
cnf(s32,plain,
( ~ spl217_23
| ~ spl217_24
| ~ spl217_25
| ~ spl217_26 ),
inference(sat_conversion,[],[f16417]) ).
cnf(s45,plain,
( ~ spl217_3
| spl217_26 ),
inference(sat_conversion,[],[f16508]) ).
cnf(s50,plain,
( ~ spl217_3
| spl217_23 ),
inference(sat_conversion,[],[f16553]) ).
cnf(s51,plain,
( ~ spl217_3
| spl217_24 ),
inference(sat_conversion,[],[f16562]) ).
cnf(s52,plain,
( ~ spl217_3
| spl217_25 ),
inference(sat_conversion,[],[f16569]) ).
cnf(s54,plain,
spl217_25,
inference(rat,[],[s52,s12]) ).
cnf(s55,plain,
spl217_24,
inference(rat,[],[s51,s12]) ).
cnf(s56,plain,
spl217_23,
inference(rat,[],[s50,s12]) ).
cnf(s57,plain,
spl217_26,
inference(rat,[],[s45,s12]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s32,s57,s54,s55,s56]) ).
fof(f16570,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP035+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n015.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:02:12 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 10.57/2.94 % (2908541)Detected formulas, will run a generic FOF schedule.
% 10.57/2.94 % (2908547)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=1477979982:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 10.57/2.94 % (2908546)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=1915363797:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 10.57/2.94 % (2908550)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1333931273:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 10.57/2.94 % (2908548)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=3215957022:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 10.57/2.94 % (2908552)dis-21_1_sil=8000:lcm=predicate:random_seed=41599679: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)
% 10.57/2.94 % (2908549)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=646214877:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 10.57/2.94 % (2908551)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3328981447:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 10.57/2.94 % (2908551)Instruction limit reached!
% 10.57/2.94 % (2908551)------------------------------
% 10.57/2.94 % (2908551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908551)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908551)Termination reason: Instruction limit
% 10.57/2.94 % (2908551)Termination phase: Property scanning
% 10.57/2.94 % (2908551)Time elapsed: 0.058 s
% 10.57/2.94 % (2908551)Peak memory usage: 102 MB
% 10.57/2.94 % (2908551)Instructions burned: 140 (million)
% 10.57/2.94 % (2908549)Refutation not found, incomplete strategy
% 10.57/2.94 % (2908549)------------------------------
% 10.57/2.94 % (2908549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908549)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908549)Termination reason: Refutation not found, incomplete strategy
% 10.57/2.94 % (2908549)Time elapsed: 0.080 s
% 10.57/2.94 % (2908549)Peak memory usage: 107 MB
% 10.57/2.94 % (2908549)Instructions burned: 103 (million)
% 10.57/2.94 % (2908552)Instruction limit reached!
% 10.57/2.94 % (2908552)------------------------------
% 10.57/2.94 % (2908552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908552)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908552)Termination reason: Instruction limit
% 10.57/2.94 % (2908552)Termination phase: Preprocessing 1
% 10.57/2.94 % (2908552)Time elapsed: 0.095 s
% 10.57/2.94 % (2908552)Peak memory usage: 103 MB
% 10.57/2.94 % (2908552)Instructions burned: 130 (million)
% 10.57/2.94 % (2908550)Instruction limit reached!
% 10.57/2.94 % (2908550)------------------------------
% 10.57/2.94 % (2908550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908550)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908550)Termination reason: Instruction limit
% 10.57/2.94 % (2908550)Termination phase: Preprocessing 3
% 10.57/2.94 % (2908550)Time elapsed: 0.101 s
% 10.57/2.94 % (2908550)Peak memory usage: 105 MB
% 10.57/2.94 % (2908550)Instructions burned: 119 (million)
% 10.57/2.94 % (2908560)lrs+10_1_sil=8000:sp=occurrence:random_seed=1762426373:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 10.57/2.94 % (2908561)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4109438048:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 10.57/2.94 % (2908562)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1859089634:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 10.57/2.94 % (2908561)Instruction limit reached!
% 10.57/2.94 % (2908561)------------------------------
% 10.57/2.94 % (2908561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908561)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908561)Termination reason: Instruction limit
% 10.57/2.94 % (2908561)Termination phase: Property scanning
% 10.57/2.94 % (2908561)Time elapsed: 0.067 s
% 10.57/2.94 % (2908561)Peak memory usage: 102 MB
% 10.57/2.94 % (2908561)Instructions burned: 158 (million)
% 10.57/2.94 % (2908549)------------------------------
% 10.57/2.94 % (2908549)------------------------------
% 10.57/2.94 % (2908560)Instruction limit reached!
% 10.57/2.94 % (2908560)------------------------------
% 10.57/2.94 % (2908560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908560)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908560)Termination reason: Instruction limit
% 10.57/2.94 % (2908560)Termination phase: Saturation
% 10.57/2.94 % (2908560)Time elapsed: 0.180 s
% 10.57/2.94 % (2908560)Peak memory usage: 110 MB
% 10.57/2.94 % (2908560)Instructions burned: 285 (million)
% 10.57/2.94 % (2908566)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=2123816979:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 10.57/2.94 % (2908567)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1704083021:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 10.57/2.94 % (2908562)Instruction limit reached!
% 10.57/2.94 % (2908562)------------------------------
% 10.57/2.94 % (2908562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908562)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908562)Termination reason: Instruction limit
% 10.57/2.94 % (2908562)Termination phase: Saturation
% 10.57/2.94 % (2908562)Time elapsed: 0.230 s
% 10.57/2.94 % (2908562)Peak memory usage: 109 MB
% 10.57/2.94 % (2908562)Instructions burned: 325 (million)
% 10.57/2.94 % (2908568)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=282136229:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 10.57/2.94 % (2908566)Instruction limit reached!
% 10.57/2.94 % (2908566)------------------------------
% 10.57/2.94 % (2908566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908566)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908566)Termination reason: Instruction limit
% 10.57/2.94 % (2908566)Termination phase: SInE selection
% 10.57/2.94 % (2908566)Time elapsed: 0.125 s
% 10.57/2.94 % (2908566)Peak memory usage: 103 MB
% 10.57/2.94 % (2908566)Instructions burned: 248 (million)
% 10.57/2.94 % (2908571)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=75175883:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 10.57/2.94 % (2908567)Instruction limit reached!
% 10.57/2.94 % (2908567)------------------------------
% 10.57/2.94 % (2908567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908567)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908567)Termination reason: Instruction limit
% 10.57/2.94 % (2908567)Termination phase: Property scanning
% 10.57/2.94 % (2908567)Time elapsed: 0.186 s
% 10.57/2.94 % (2908567)Peak memory usage: 109 MB
% 10.57/2.94 % (2908567)Instructions burned: 294 (million)
% 10.57/2.94 % (2908573)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3121213175:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 10.57/2.94 % (2908571)Instruction limit reached!
% 10.57/2.94 % (2908571)------------------------------
% 10.57/2.94 % (2908571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908571)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908571)Termination reason: Instruction limit
% 10.57/2.94 % (2908571)Termination phase: Preprocessing 3
% 10.57/2.94 % (2908571)Time elapsed: 0.097 s
% 10.57/2.94 % (2908571)Peak memory usage: 105 MB
% 10.57/2.94 % (2908571)Instructions burned: 113 (million)
% 10.57/2.94 % (2908575)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4159649461:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 10.57/2.94 % (2908573)Instruction limit reached!
% 10.57/2.94 % (2908573)------------------------------
% 10.57/2.94 % (2908573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908573)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908573)Termination reason: Instruction limit
% 10.57/2.94 % (2908573)Termination phase: Preprocessing 2
% 10.57/2.94 % (2908573)Time elapsed: 0.103 s
% 10.57/2.94 % (2908573)Peak memory usage: 106 MB
% 10.57/2.94 % (2908573)Instructions burned: 127 (million)
% 10.57/2.94 % (2908575)Instruction limit reached!
% 10.57/2.94 % (2908575)------------------------------
% 10.57/2.94 % (2908575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.94 % (2908575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.94 % (2908575)CaDiCaL version: 2.1.3
% 10.57/2.94 % (2908575)Termination reason: Instruction limit
% 10.57/2.94 % (2908575)Termination phase: Property scanning
% 10.57/2.94 % (2908575)Time elapsed: 0.050 s
% 10.57/2.94 % (2908575)Peak memory usage: 102 MB
% 10.57/2.94 % (2908575)Instructions burned: 115 (million)
% 10.57/2.94 % (2908577)lrs+10_1_sil=8000:sp=occurrence:random_seed=2143676190:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 10.57/2.94 % (2908579)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1629509314:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 10.57/2.94 % (2908580)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2703579265:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 10.57/2.94 % (2908579)First to succeed.
% 10.57/2.94 % (2908579)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2908541"
% 10.57/2.94 % (2908548)Also succeeded, but the first one will report.
% 10.57/2.94 % (2908579)Refutation found. Thanks to Tanya!
% 10.57/2.94 % SZS status Theorem for theBenchmark
% 10.57/2.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/3.14 % (2908579)------------------------------
% 0.20/3.14 % (2908579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/3.14 % (2908579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/3.14 % (2908579)CaDiCaL version: 2.1.3
% 0.20/3.14 % (2908579)Termination reason: Refutation
% 0.20/3.14 % (2908579)Time elapsed: 0.125 s
% 0.20/3.14 % (2908579)Peak memory usage: 110 MB
% 0.20/3.14 % (2908579)Instructions burned: 179 (million)
% 0.20/3.14 % (2908579)------------------------------
% 0.20/3.14 % (2908579)------------------------------
% 0.20/3.14 % (2908541)Success in time 2.28 s
% 0.20/3.14 % Vampire exiting
%------------------------------------------------------------------------------