%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP028+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:55 PM UTC 2026
% Result : Theorem 16.57s 3.59s
% Output : Refutation 17.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 103 ( 17 unt; 7 def)
% Number of atoms : 354 ( 14 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 422 ( 171 ~; 178 |; 49 &)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn 69 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2152,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_struct_0) ).
fof(f2183,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f2245,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f2249,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f3552,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> v1_tsp_1(k1_struct_0(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_tsp_1) ).
fof(f3590,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_tsp_2) ).
fof(f3591,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( v1_tsp_1(X1,X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(f3592,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).
fof(f3593,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0) ) ),
inference(negated_conjecture,[status(cth)],[f3592]) ).
fof(f3653,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X3) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3590]) ).
fof(f3654,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ! [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X3) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3653]) ).
fof(f3655,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ? [X2] :
( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3591]) ).
fof(f3656,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ? [X2] :
( r1_tarski(X1,X2)
& v1_tsp_2(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3655]) ).
fof(f3657,plain,
? [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3593]) ).
fof(f3658,plain,
? [X0] :
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f3657]) ).
fof(f3728,plain,
! [X0] :
( ! [X1] :
( v1_tsp_1(k1_struct_0(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3552]) ).
fof(f3729,plain,
! [X0] :
( ! [X1] :
( v1_tsp_1(k1_struct_0(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3728]) ).
fof(f3793,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f2152]) ).
fof(f3794,plain,
! [X0,X1] :
( m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f3793]) ).
fof(f4458,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f4744,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2249]) ).
fof(f4758,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2183]) ).
fof(f5543,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| k1_struct_0(X0,X3) != k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& r2_hidden(X3,X1)
& k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) = k1_struct_0(X0,X3) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3654]) ).
fof(f5544,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ? [X2] :
( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| k1_struct_0(X0,X3) != k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X2)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& r2_hidden(X5,X1)
& k1_struct_0(X0,X5) = k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X4)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f5543]) ).
fof(f5545,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ r2_hidden(X3,X1)
| k1_struct_0(X0,X3) != k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,sK18(X0,X1))) )
& m1_subset_1(sK18(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ( m1_subset_1(sK19(X0,X1,X4),u1_struct_0(X0))
& r2_hidden(sK19(X0,X1,X4),X1)
& k5_subset_1(u1_struct_0(X0),X1,k4_tex_4(X0,X4)) = k1_struct_0(X0,sK19(X0,X1,X4)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X2,sK18(X0,X1)),skolemize(X5,sK19(X0,X1,X4))],[f5544]) ).
fof(f5546,plain,
! [X0] :
( ! [X1] :
( ~ v1_tsp_1(X1,X0)
| ( r1_tarski(X1,sK20(X0,X1))
& v1_tsp_2(sK20(X0,X1),X0)
& m1_subset_1(sK20(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X2,sK20(X0,X1))],[f3656]) ).
fof(f5547,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK21)))
| ~ v1_tsp_2(X1,sK21) )
& ~ v3_struct_0(sK21)
& v2_pre_topc(sK21)
& l1_pre_topc(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f3658]) ).
fof(f6265,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK18(X0,X1),u1_struct_0(X0))
| v1_tsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5545]) ).
fof(f6267,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK20(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5546]) ).
fof(f6268,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_2(sK20(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5546]) ).
fof(f6270,plain,
l1_pre_topc(sK21),
inference(cnf_transformation,[],[f5547]) ).
fof(f6271,plain,
v2_pre_topc(sK21),
inference(cnf_transformation,[],[f5547]) ).
fof(f6272,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f5547]) ).
fof(f6273,plain,
! [X1] :
( ~ v1_tsp_2(X1,sK21)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK21))) ),
inference(cnf_transformation,[],[f5547]) ).
fof(f6389,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| v1_tsp_1(k1_struct_0(X0,X1),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3729]) ).
fof(f6501,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| m1_subset_1(k1_struct_0(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f3794]) ).
fof(f7437,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4458]) ).
fof(f7921,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f4744]) ).
fof(f7944,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f4758]) ).
fof(f10077,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f7944,f7437]) ).
fof(f10078,plain,
u1_struct_0(sK21) = k2_pre_topc(sK21),
inference(resolution,[],[f10077,f6270]) ).
fof(f10079,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution,[],[f7921,f7437]) ).
fof(f10094,plain,
m1_subset_1(k2_pre_topc(sK21),k1_zfmisc_1(u1_struct_0(sK21))),
inference(resolution,[],[f10079,f6270]) ).
fof(f10095,plain,
m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21))),
inference(forward_demodulation,[],[f10094,f10078]) ).
fof(f10097,plain,
( m1_subset_1(sK18(sK21,u1_struct_0(sK21)),u1_struct_0(sK21))
| v1_tsp_2(u1_struct_0(sK21),sK21)
| v3_struct_0(sK21)
| ~ v2_pre_topc(sK21)
| ~ l1_pre_topc(sK21) ),
inference(resolution,[],[f10095,f6265]) ).
fof(f10113,plain,
( m1_subset_1(sK18(sK21,u1_struct_0(sK21)),u1_struct_0(sK21))
| v1_tsp_2(u1_struct_0(sK21),sK21)
| ~ v2_pre_topc(sK21)
| ~ l1_pre_topc(sK21) ),
inference(forward_subsumption_resolution,[],[f10097,f6272]) ).
fof(f10120,plain,
( m1_subset_1(sK18(sK21,u1_struct_0(sK21)),u1_struct_0(sK21))
| v1_tsp_2(u1_struct_0(sK21),sK21)
| ~ l1_pre_topc(sK21) ),
inference(forward_subsumption_resolution,[],[f10113,f6271]) ).
fof(f10122,definition,
( spl410_7
<=> v1_tsp_2(u1_struct_0(sK21),sK21) ),
introduced(definition,[new_symbols(definition,[spl410_7])],[avatar_definition]) ).
fof(f10123,plain,
( v1_tsp_2(u1_struct_0(sK21),sK21)
| ~ spl410_7 ),
inference(avatar_component_clause,[],[f10122]) ).
fof(f10134,plain,
( m1_subset_1(sK18(sK21,u1_struct_0(sK21)),u1_struct_0(sK21))
| v1_tsp_2(u1_struct_0(sK21),sK21) ),
inference(forward_subsumption_resolution,[],[f10120,f6270]) ).
fof(f10142,definition,
( spl410_11
<=> m1_subset_1(sK18(sK21,u1_struct_0(sK21)),u1_struct_0(sK21)) ),
introduced(definition,[new_symbols(definition,[spl410_11])],[avatar_definition]) ).
fof(f10143,plain,
( m1_subset_1(sK18(sK21,u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ spl410_11 ),
inference(avatar_component_clause,[],[f10142]) ).
fof(f10144,plain,
( spl410_7
| spl410_11 ),
inference(avatar_split_clause,[],[f10134,f10142,f10122]) ).
fof(f10147,plain,
( ~ m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl410_7 ),
inference(resolution,[],[f10123,f6273]) ).
fof(f10149,plain,
( $false
| ~ spl410_7 ),
inference(forward_subsumption_resolution,[],[f10147,f10095]) ).
fof(f10150,plain,
~ spl410_7,
inference(avatar_contradiction_clause,[],[f10149]) ).
fof(f10152,plain,
( v3_struct_0(sK21)
| ~ l1_struct_0(sK21)
| m1_subset_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl410_11 ),
inference(resolution,[],[f10143,f6501]) ).
fof(f10157,plain,
( ~ l1_struct_0(sK21)
| m1_subset_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl410_11 ),
inference(forward_subsumption_resolution,[],[f10152,f6272]) ).
fof(f10161,definition,
( spl410_12
<=> m1_subset_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),k1_zfmisc_1(u1_struct_0(sK21))) ),
introduced(definition,[new_symbols(definition,[spl410_12])],[avatar_definition]) ).
fof(f10162,plain,
( m1_subset_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl410_12 ),
inference(avatar_component_clause,[],[f10161]) ).
fof(f10164,definition,
( spl410_13
<=> l1_struct_0(sK21) ),
introduced(definition,[new_symbols(definition,[spl410_13])],[avatar_definition]) ).
fof(f10165,plain,
( ~ l1_struct_0(sK21)
| spl410_13 ),
inference(avatar_component_clause,[],[f10164]) ).
fof(f10166,plain,
( spl410_12
| ~ spl410_13
| ~ spl410_11 ),
inference(avatar_split_clause,[],[f10157,f10142,f10164,f10161]) ).
fof(f10171,plain,
( ~ l1_pre_topc(sK21)
| spl410_13 ),
inference(resolution,[],[f10165,f7437]) ).
fof(f10173,plain,
( $false
| spl410_13 ),
inference(forward_subsumption_resolution,[],[f10171,f6270]) ).
fof(f10174,plain,
spl410_13,
inference(avatar_contradiction_clause,[],[f10173]) ).
fof(f10177,plain,
( m1_subset_1(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| v3_struct_0(sK21)
| ~ v2_pre_topc(sK21)
| ~ l1_pre_topc(sK21)
| ~ spl410_12 ),
inference(resolution,[],[f10162,f6267]) ).
fof(f10178,plain,
( v1_tsp_2(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),sK21)
| ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| v3_struct_0(sK21)
| ~ v2_pre_topc(sK21)
| ~ l1_pre_topc(sK21)
| ~ spl410_12 ),
inference(resolution,[],[f10162,f6268]) ).
fof(f10190,plain,
( v1_tsp_2(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),sK21)
| ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| ~ v2_pre_topc(sK21)
| ~ l1_pre_topc(sK21)
| ~ spl410_12 ),
inference(forward_subsumption_resolution,[],[f10178,f6272]) ).
fof(f10196,plain,
( v1_tsp_2(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),sK21)
| ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| ~ l1_pre_topc(sK21)
| ~ spl410_12 ),
inference(forward_subsumption_resolution,[],[f10190,f6271]) ).
fof(f10206,definition,
( spl410_16
<=> v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21) ),
introduced(definition,[new_symbols(definition,[spl410_16])],[avatar_definition]) ).
fof(f10207,plain,
( ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| spl410_16 ),
inference(avatar_component_clause,[],[f10206]) ).
fof(f10210,plain,
( v1_tsp_2(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),sK21)
| ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| ~ spl410_12 ),
inference(forward_subsumption_resolution,[],[f10196,f6270]) ).
fof(f10214,definition,
( spl410_17
<=> v1_tsp_2(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),sK21) ),
introduced(definition,[new_symbols(definition,[spl410_17])],[avatar_definition]) ).
fof(f10215,plain,
( v1_tsp_2(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),sK21)
| ~ spl410_17 ),
inference(avatar_component_clause,[],[f10214]) ).
fof(f10216,plain,
( ~ spl410_16
| spl410_17
| ~ spl410_12 ),
inference(avatar_split_clause,[],[f10210,f10161,f10214,f10206]) ).
fof(f10350,plain,
( $false
| ~ spl410_11
| spl410_16 ),
inference(unit_resulting_resolution,[],[f6389,f6270,f6271,f6272,f10143,f10207]) ).
fof(f10352,plain,
( ~ spl410_11
| spl410_16 ),
inference(avatar_contradiction_clause,[],[f10350]) ).
fof(f10356,plain,
( m1_subset_1(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| ~ v2_pre_topc(sK21)
| ~ l1_pre_topc(sK21)
| ~ spl410_12 ),
inference(forward_subsumption_resolution,[],[f10177,f6272]) ).
fof(f10357,plain,
( m1_subset_1(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| ~ l1_pre_topc(sK21)
| ~ spl410_12 ),
inference(forward_subsumption_resolution,[],[f10356,f6271]) ).
fof(f10358,plain,
( m1_subset_1(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ v1_tsp_1(k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21))),sK21)
| ~ spl410_12 ),
inference(forward_subsumption_resolution,[],[f10357,f6270]) ).
fof(f10365,definition,
( spl410_31
<=> m1_subset_1(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),k1_zfmisc_1(u1_struct_0(sK21))) ),
introduced(definition,[new_symbols(definition,[spl410_31])],[avatar_definition]) ).
fof(f10366,plain,
( m1_subset_1(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl410_31 ),
inference(avatar_component_clause,[],[f10365]) ).
fof(f10367,plain,
( ~ spl410_16
| spl410_31
| ~ spl410_12 ),
inference(avatar_split_clause,[],[f10358,f10161,f10365,f10206]) ).
fof(f10461,plain,
( ~ m1_subset_1(sK20(sK21,k1_struct_0(sK21,sK18(sK21,u1_struct_0(sK21)))),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl410_17 ),
inference(resolution,[],[f10215,f6273]) ).
fof(f10462,plain,
( $false
| ~ spl410_17
| ~ spl410_31 ),
inference(forward_subsumption_resolution,[],[f10461,f10366]) ).
fof(f10463,plain,
( ~ spl410_17
| ~ spl410_31 ),
inference(avatar_contradiction_clause,[],[f10462]) ).
cnf(s6,plain,
( spl410_7
| spl410_11 ),
inference(sat_conversion,[],[f10144]) ).
cnf(s9,plain,
~ spl410_7,
inference(sat_conversion,[],[f10150]) ).
cnf(s10,plain,
( ~ spl410_11
| spl410_12
| ~ spl410_13 ),
inference(sat_conversion,[],[f10166]) ).
cnf(s12,plain,
spl410_13,
inference(sat_conversion,[],[f10174]) ).
cnf(s14,plain,
( ~ spl410_12
| ~ spl410_16
| spl410_17 ),
inference(sat_conversion,[],[f10216]) ).
cnf(s33,plain,
( ~ spl410_11
| spl410_16 ),
inference(sat_conversion,[],[f10352]) ).
cnf(s35,plain,
( ~ spl410_12
| ~ spl410_16
| spl410_31 ),
inference(sat_conversion,[],[f10367]) ).
cnf(s43,plain,
( ~ spl410_17
| ~ spl410_31 ),
inference(sat_conversion,[],[f10463]) ).
cnf(s44,plain,
( ~ spl410_11
| spl410_12 ),
inference(rat,[],[s10,s12]) ).
cnf(s45,plain,
spl410_11,
inference(rat,[],[s6,s9]) ).
cnf(s46,plain,
spl410_16,
inference(rat,[],[s33,s45]) ).
cnf(s48,plain,
spl410_12,
inference(rat,[],[s44,s45]) ).
cnf(s50,plain,
spl410_31,
inference(rat,[],[s35,s46,s48]) ).
cnf(s52,plain,
spl410_17,
inference(rat,[],[s14,s46,s48]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s43,s50,s52]) ).
fof(f10464,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : TOP028+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 % Computer : n009.cluster.edu
% 0.26/0.31 % Model : x86_64 x86_64
% 0.26/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.31 % Memory : 8046.5625MB
% 0.26/0.31 % OS : Linux 6.8.0-71-generic
% 0.26/0.31 % CPULimit : 300
% 0.26/0.31 % WCLimit : 300
% 0.26/0.31 % DateTime : Mon Sep 28 18:54:01 UTC 2026
% 0.26/0.31 % CPUTime :
% 0.26/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.38 Running first-order theorem proving
% 0.26/0.38 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
% 15.52/3.37 % (3351551)Detected formulas, will run a generic FOF schedule.
% 15.52/3.37 % (3351558)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=2013812186:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.52/3.37 % (3351556)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=2155479759:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.52/3.37 % (3351561)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1298843587:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.52/3.37 % (3351557)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=740270740:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.52/3.37 % (3351559)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4077122450:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.52/3.37 % (3351560)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=667560991:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.52/3.37 % (3351559)Refutation not found, incomplete strategy
% 15.52/3.37 % (3351559)------------------------------
% 15.52/3.37 % (3351559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.37 % (3351559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.37 % (3351559)CaDiCaL version: 2.1.3
% 15.52/3.37 % (3351559)Termination reason: Refutation not found, incomplete strategy
% 15.52/3.37 % (3351559)Time elapsed: 0.024 s
% 15.52/3.37 % (3351559)Peak memory usage: 92 MB
% 15.52/3.37 % (3351559)Instructions burned: 19 (million)
% 15.52/3.37 % (3351562)dis-21_1_sil=8000:lcm=predicate:random_seed=2255699661:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 15.52/3.37 % (3351560)Instruction limit reached!
% 15.52/3.37 % (3351560)------------------------------
% 15.52/3.37 % (3351560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.37 % (3351560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.37 % (3351560)CaDiCaL version: 2.1.3
% 15.52/3.37 % (3351560)Termination reason: Instruction limit
% 15.52/3.37 % (3351560)Termination phase: Saturation
% 15.52/3.37 % (3351560)Time elapsed: 0.118 s
% 15.52/3.37 % (3351560)Peak memory usage: 94 MB
% 15.52/3.37 % (3351560)Instructions burned: 119 (million)
% 15.52/3.37 % (3351561)Instruction limit reached!
% 15.52/3.37 % (3351561)------------------------------
% 15.52/3.37 % (3351561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.37 % (3351561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.37 % (3351561)CaDiCaL version: 2.1.3
% 15.52/3.37 % (3351561)Termination reason: Instruction limit
% 15.52/3.37 % (3351561)Termination phase: Preprocessing 3
% 15.52/3.37 % (3351561)Time elapsed: 0.148 s
% 15.52/3.37 % (3351561)Peak memory usage: 94 MB
% 15.52/3.37 % (3351561)Instructions burned: 140 (million)
% 15.52/3.37 % (3351562)Instruction limit reached!
% 15.52/3.37 % (3351562)------------------------------
% 15.52/3.37 % (3351562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/3.37 % (3351562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/3.37 % (3351562)CaDiCaL version: 2.1.3
% 15.52/3.37 % (3351562)Termination reason: Instruction limit
% 15.52/3.37 % (3351562)Termination phase: Clausification
% 15.52/3.37 % (3351562)Time elapsed: 0.144 s
% 15.52/3.37 % (3351562)Peak memory usage: 95 MB
% 15.52/3.37 % (3351562)Instructions burned: 129 (million)
% 15.52/3.37 % (3351570)lrs+10_1_sil=8000:sp=occurrence:random_seed=167978248:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 15.52/3.37 % (3351559)------------------------------
% 15.52/3.37 % (3351559)------------------------------
% 15.52/3.37 % (3351571)lrs+10_1_sil=32000:urr=on:br=off:random_seed=848706390:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 15.52/3.37 % (3351572)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1246058322:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 15.52/3.37 % (3351571)Refutation not found, incomplete strategy
% 15.52/3.37 % (3351571)------------------------------
% 15.52/3.37 % (3351571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351571)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351571)Termination reason: Refutation not found, incomplete strategy
% 16.57/3.59 % (3351571)Time elapsed: 0.056 s
% 16.57/3.59 % (3351571)Peak memory usage: 93 MB
% 16.57/3.59 % (3351571)Instructions burned: 57 (million)
% 16.57/3.59 % (3351570)Instruction limit reached!
% 16.57/3.59 % (3351570)------------------------------
% 16.57/3.59 % (3351570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351570)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351570)Termination reason: Instruction limit
% 16.57/3.59 % (3351570)Termination phase: Saturation
% 16.57/3.59 % (3351570)Time elapsed: 0.159 s
% 16.57/3.59 % (3351570)Peak memory usage: 98 MB
% 16.57/3.59 % (3351570)Instructions burned: 285 (million)
% 16.57/3.59 % (3351577)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2523918862:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 16.57/3.59 % (3351575)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=2400402559:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 16.57/3.59 % (3351572)Instruction limit reached!
% 16.57/3.59 % (3351572)------------------------------
% 16.57/3.59 % (3351572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351572)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351572)Termination reason: Instruction limit
% 16.57/3.59 % (3351572)Termination phase: Saturation
% 16.57/3.59 % (3351572)Time elapsed: 0.235 s
% 16.57/3.59 % (3351572)Peak memory usage: 93 MB
% 16.57/3.59 % (3351572)Instructions burned: 326 (million)
% 16.57/3.59 % (3351577)Instruction limit reached!
% 16.57/3.59 % (3351577)------------------------------
% 16.57/3.59 % (3351577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351577)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351577)Termination reason: Instruction limit
% 16.57/3.59 % (3351577)Termination phase: Saturation
% 16.57/3.59 % (3351577)Time elapsed: 0.091 s
% 16.57/3.59 % (3351577)Peak memory usage: 95 MB
% 16.57/3.59 % (3351577)Instructions burned: 296 (million)
% 16.57/3.59 % (3351571)------------------------------
% 16.57/3.59 % (3351571)------------------------------
% 16.57/3.59 % (3351581)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2695574768:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 16.57/3.59 % (3351580)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=268987682:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 16.57/3.59 % (3351575)Instruction limit reached!
% 16.57/3.59 % (3351575)------------------------------
% 16.57/3.59 % (3351575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351575)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351575)Termination reason: Instruction limit
% 16.57/3.59 % (3351575)Termination phase: Property scanning
% 16.57/3.59 % (3351575)Time elapsed: 0.185 s
% 16.57/3.59 % (3351575)Peak memory usage: 98 MB
% 16.57/3.59 % (3351575)Instructions burned: 250 (million)
% 16.57/3.59 % (3351581)Instruction limit reached!
% 16.57/3.59 % (3351581)------------------------------
% 16.57/3.59 % (3351581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351581)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351581)Termination reason: Instruction limit
% 16.57/3.59 % (3351581)Termination phase: Property scanning
% 16.57/3.59 % (3351581)Time elapsed: 0.038 s
% 16.57/3.59 % (3351581)Peak memory usage: 93 MB
% 16.57/3.59 % (3351581)Instructions burned: 116 (million)
% 16.57/3.59 % (3351585)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=100424006:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 16.57/3.59 % (3351582)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1879756911:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 16.57/3.59 % (3351585)Instruction limit reached!
% 16.57/3.59 % (3351585)------------------------------
% 16.57/3.59 % (3351585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351585)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351585)Termination reason: Instruction limit
% 16.57/3.59 % (3351585)Termination phase: Preprocessing 3
% 16.57/3.59 % (3351585)Time elapsed: 0.059 s
% 16.57/3.59 % (3351585)Peak memory usage: 90 MB
% 16.57/3.59 % (3351585)Instructions burned: 115 (million)
% 16.57/3.59 % (3351586)lrs+10_1_sil=8000:sp=occurrence:random_seed=733695118:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 16.57/3.59 % (3351582)Instruction limit reached!
% 16.57/3.59 % (3351582)------------------------------
% 16.57/3.59 % (3351582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351582)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351582)Termination reason: Instruction limit
% 16.57/3.59 % (3351582)Termination phase: Preprocessing 3
% 16.57/3.59 % (3351582)Time elapsed: 0.085 s
% 16.57/3.59 % (3351582)Peak memory usage: 96 MB
% 16.57/3.59 % (3351582)Instructions burned: 128 (million)
% 16.57/3.59 % (3351590)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3645528866:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 16.57/3.59 % (3351591)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3924212411:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 16.57/3.59 % (3351590)Instruction limit reached!
% 16.57/3.59 % (3351590)------------------------------
% 16.57/3.59 % (3351590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351590)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351590)Termination reason: Instruction limit
% 16.57/3.59 % (3351590)Termination phase: Saturation
% 16.57/3.59 % (3351590)Time elapsed: 0.269 s
% 16.57/3.59 % (3351590)Peak memory usage: 96 MB
% 16.57/3.59 % (3351590)Instructions burned: 437 (million)
% 16.57/3.59 % (3351594)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2539836975:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 16.57/3.59 % (3351586)Instruction limit reached!
% 16.57/3.59 % (3351586)------------------------------
% 16.57/3.59 % (3351586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351586)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351586)Termination reason: Instruction limit
% 16.57/3.59 % (3351586)Termination phase: Saturation
% 16.57/3.59 % (3351586)Time elapsed: 0.614 s
% 16.57/3.59 % (3351586)Peak memory usage: 106 MB
% 16.57/3.59 % (3351586)Instructions burned: 907 (million)
% 16.57/3.59 % (3351580)Instruction limit reached!
% 16.57/3.59 % (3351580)------------------------------
% 16.57/3.59 % (3351580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351580)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351580)Termination reason: Instruction limit
% 16.57/3.59 % (3351580)Termination phase: Saturation
% 16.57/3.59 % (3351580)Time elapsed: 0.879 s
% 16.57/3.59 % (3351580)Peak memory usage: 231 MB
% 16.57/3.59 % (3351580)Instructions burned: 2353 (million)
% 16.57/3.59 % (3351594)Instruction limit reached!
% 16.57/3.59 % (3351594)------------------------------
% 16.57/3.59 % (3351594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351594)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351594)Termination reason: Instruction limit
% 16.57/3.59 % (3351594)Termination phase: Saturation
% 16.57/3.59 % (3351594)Time elapsed: 0.082 s
% 16.57/3.59 % (3351594)Peak memory usage: 96 MB
% 16.57/3.59 % (3351594)Instructions burned: 135 (million)
% 16.57/3.59 % (3351557)First to succeed.
% 16.57/3.59 % (3351557)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3351551"
% 16.57/3.59 % (3351596)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1106834250:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 16.57/3.59 % (3351597)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2896144241:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 16.57/3.59 % (3351598)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=695705983:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 16.57/3.59 % (3351598)Instruction limit reached!
% 16.57/3.59 % (3351598)------------------------------
% 16.57/3.59 % (3351598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.57/3.59 % (3351598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.57/3.59 % (3351598)CaDiCaL version: 2.1.3
% 16.57/3.59 % (3351598)Termination reason: Instruction limit
% 16.57/3.59 % (3351598)Termination phase: Property scanning
% 16.57/3.59 % (3351598)Time elapsed: 0.075 s
% 16.57/3.59 % (3351598)Peak memory usage: 92 MB
% 16.57/3.59 % (3351598)Instructions burned: 128 (million)
% 16.57/3.59 % (3351557)Refutation found. Thanks to Tanya!
% 16.57/3.59 % SZS status Theorem for theBenchmark
% 16.57/3.59 % SZS output start Proof for theBenchmark
% See solution above
% 17.88/3.82 % (3351557)------------------------------
% 17.88/3.82 % (3351557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.88/3.82 % (3351557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.88/3.82 % (3351557)CaDiCaL version: 2.1.3
% 17.88/3.82 % (3351557)Termination reason: Refutation
% 17.88/3.82 % (3351557)Time elapsed: 1.813 s
% 17.88/3.82 % (3351557)Peak memory usage: 174 MB
% 17.88/3.82 % (3351557)Instructions burned: 2174 (million)
% 17.88/3.82 % (3351557)------------------------------
% 17.88/3.82 % (3351557)------------------------------
% 17.88/3.82 % (3351551)Success in time 2.459 s
% 17.88/3.82 % Vampire exiting
%------------------------------------------------------------------------------