%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP644+4 : 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 : n018.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 10:15:15 AM UTC 2026
% Result : Theorem 11.39s 3.11s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 69 ( 16 unt; 2 def)
% Number of atoms : 314 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 423 ( 178 ~; 180 |; 44 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18994,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f21871,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_rlvect_1(X2,X1)
=> r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_group_2) ).
fof(f36508,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(f36512,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
=> r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(f36513,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
=> r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f36512]) ).
fof(f36592,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36508]) ).
fof(f36593,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
<=> r1_rlvect_1(X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36592]) ).
fof(f36600,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X2,u1_struct_0(X0)) )
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f36513]) ).
fof(f36601,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),k1_funct_1(k1_latsubgr(X0),X1))
& r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
& m1_subset_1(X2,u1_struct_0(X0)) )
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f36600]) ).
fof(f37099,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21871]) ).
fof(f37100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f37099]) ).
fof(f37103,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f18994]) ).
fof(f37104,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f37103]) ).
fof(f37156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2) )
& ( r1_rlvect_1(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f36593]) ).
fof(f37157,plain,
( ~ r2_hidden(k3_group_1(sK9,sK11),k1_funct_1(k1_latsubgr(sK9),sK10))
& r2_hidden(sK11,k1_funct_1(k1_latsubgr(sK9),sK10))
& m1_subset_1(sK11,u1_struct_0(sK9))
& v1_group_1(sK10)
& m1_group_2(sK10,sK9)
& ~ v3_struct_0(sK9)
& v3_group_1(sK9)
& v4_group_1(sK9)
& l1_group_1(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11)],[f36601]) ).
fof(f37361,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37156]) ).
fof(f37362,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))
| ~ r1_rlvect_1(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37156]) ).
fof(f37366,plain,
l1_group_1(sK9),
inference(cnf_transformation,[],[f37157]) ).
fof(f37367,plain,
v4_group_1(sK9),
inference(cnf_transformation,[],[f37157]) ).
fof(f37368,plain,
v3_group_1(sK9),
inference(cnf_transformation,[],[f37157]) ).
fof(f37369,plain,
~ v3_struct_0(sK9),
inference(cnf_transformation,[],[f37157]) ).
fof(f37370,plain,
m1_group_2(sK10,sK9),
inference(cnf_transformation,[],[f37157]) ).
fof(f37371,plain,
v1_group_1(sK10),
inference(cnf_transformation,[],[f37157]) ).
fof(f37372,plain,
m1_subset_1(sK11,u1_struct_0(sK9)),
inference(cnf_transformation,[],[f37157]) ).
fof(f37373,plain,
r2_hidden(sK11,k1_funct_1(k1_latsubgr(sK9),sK10)),
inference(cnf_transformation,[],[f37157]) ).
fof(f37374,plain,
~ r2_hidden(k3_group_1(sK9,sK11),k1_funct_1(k1_latsubgr(sK9),sK10)),
inference(cnf_transformation,[],[f37157]) ).
fof(f38016,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f37100]) ).
fof(f38018,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f37104]) ).
fof(f38185,plain,
( r1_rlvect_1(sK10,sK11)
| ~ m1_subset_1(sK11,u1_struct_0(sK9))
| ~ v1_group_1(sK10)
| ~ m1_group_2(sK10,sK9)
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(resolution,[],[f37373,f37361]) ).
fof(f38192,plain,
( r1_rlvect_1(sK10,sK11)
| ~ v1_group_1(sK10)
| ~ m1_group_2(sK10,sK9)
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38185,f37372]) ).
fof(f38193,plain,
( r1_rlvect_1(sK10,sK11)
| ~ m1_group_2(sK10,sK9)
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38192,f37371]) ).
fof(f38194,plain,
( r1_rlvect_1(sK10,sK11)
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38193,f37370]) ).
fof(f38195,plain,
( r1_rlvect_1(sK10,sK11)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38194,f37369]) ).
fof(f38196,plain,
( r1_rlvect_1(sK10,sK11)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38195,f37368]) ).
fof(f38197,plain,
( r1_rlvect_1(sK10,sK11)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38196,f37367]) ).
fof(f38198,plain,
r1_rlvect_1(sK10,sK11),
inference(forward_subsumption_resolution,[],[f38197,f37366]) ).
fof(f38199,plain,
( ~ r1_rlvect_1(sK10,k3_group_1(sK9,sK11))
| ~ m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9))
| ~ v1_group_1(sK10)
| ~ m1_group_2(sK10,sK9)
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(resolution,[],[f37374,f37362]) ).
fof(f38215,plain,
( ~ r1_rlvect_1(sK10,k3_group_1(sK9,sK11))
| ~ m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9))
| ~ m1_group_2(sK10,sK9)
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38199,f37371]) ).
fof(f38218,plain,
( ~ r1_rlvect_1(sK10,k3_group_1(sK9,sK11))
| ~ m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38215,f37370]) ).
fof(f38220,plain,
( ~ r1_rlvect_1(sK10,k3_group_1(sK9,sK11))
| ~ m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9))
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38218,f37369]) ).
fof(f38222,plain,
( ~ r1_rlvect_1(sK10,k3_group_1(sK9,sK11))
| ~ m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9))
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38220,f37368]) ).
fof(f38224,plain,
( ~ r1_rlvect_1(sK10,k3_group_1(sK9,sK11))
| ~ m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9))
| ~ l1_group_1(sK9) ),
inference(forward_subsumption_resolution,[],[f38222,f37367]) ).
fof(f38225,plain,
( ~ r1_rlvect_1(sK10,k3_group_1(sK9,sK11))
| ~ m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9)) ),
inference(forward_subsumption_resolution,[],[f38224,f37366]) ).
fof(f38227,definition,
( spl106_8
<=> m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9)) ),
introduced(definition,[new_symbols(definition,[spl106_8])],[avatar_definition]) ).
fof(f38228,plain,
( ~ m1_subset_1(k3_group_1(sK9,sK11),u1_struct_0(sK9))
| spl106_8 ),
inference(avatar_component_clause,[],[f38227]) ).
fof(f38230,definition,
( spl106_9
<=> r1_rlvect_1(sK10,k3_group_1(sK9,sK11)) ),
introduced(definition,[new_symbols(definition,[spl106_9])],[avatar_definition]) ).
fof(f38231,plain,
( ~ r1_rlvect_1(sK10,k3_group_1(sK9,sK11))
| spl106_9 ),
inference(avatar_component_clause,[],[f38230]) ).
fof(f38232,plain,
( ~ spl106_8
| ~ spl106_9 ),
inference(avatar_split_clause,[],[f38225,f38230,f38227]) ).
fof(f38234,plain,
( ~ r1_rlvect_1(sK10,sK11)
| ~ m1_group_2(sK10,sK9)
| ~ m1_subset_1(sK11,u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| spl106_9 ),
inference(resolution,[],[f38231,f38016]) ).
fof(f38241,plain,
( ~ m1_group_2(sK10,sK9)
| ~ m1_subset_1(sK11,u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| spl106_9 ),
inference(forward_subsumption_resolution,[],[f38234,f38198]) ).
fof(f38245,plain,
( ~ m1_subset_1(sK11,u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| spl106_9 ),
inference(forward_subsumption_resolution,[],[f38241,f37370]) ).
fof(f38248,plain,
( v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| spl106_9 ),
inference(forward_subsumption_resolution,[],[f38245,f37372]) ).
fof(f38250,plain,
( ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| spl106_9 ),
inference(forward_subsumption_resolution,[],[f38248,f37369]) ).
fof(f38252,plain,
( ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| spl106_9 ),
inference(forward_subsumption_resolution,[],[f38250,f37368]) ).
fof(f38253,plain,
( ~ l1_group_1(sK9)
| spl106_9 ),
inference(forward_subsumption_resolution,[],[f38252,f37367]) ).
fof(f38254,plain,
( $false
| spl106_9 ),
inference(forward_subsumption_resolution,[],[f38253,f37366]) ).
fof(f38255,plain,
spl106_9,
inference(avatar_contradiction_clause,[],[f38254]) ).
fof(f38282,plain,
( v3_struct_0(sK9)
| ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| ~ m1_subset_1(sK11,u1_struct_0(sK9))
| spl106_8 ),
inference(resolution,[],[f38228,f38018]) ).
fof(f38293,plain,
( ~ v3_group_1(sK9)
| ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| ~ m1_subset_1(sK11,u1_struct_0(sK9))
| spl106_8 ),
inference(forward_subsumption_resolution,[],[f38282,f37369]) ).
fof(f38297,plain,
( ~ v4_group_1(sK9)
| ~ l1_group_1(sK9)
| ~ m1_subset_1(sK11,u1_struct_0(sK9))
| spl106_8 ),
inference(forward_subsumption_resolution,[],[f38293,f37368]) ).
fof(f38300,plain,
( ~ l1_group_1(sK9)
| ~ m1_subset_1(sK11,u1_struct_0(sK9))
| spl106_8 ),
inference(forward_subsumption_resolution,[],[f38297,f37367]) ).
fof(f38302,plain,
( ~ m1_subset_1(sK11,u1_struct_0(sK9))
| spl106_8 ),
inference(forward_subsumption_resolution,[],[f38300,f37366]) ).
fof(f38304,plain,
( $false
| spl106_8 ),
inference(forward_subsumption_resolution,[],[f38302,f37372]) ).
fof(f38305,plain,
spl106_8,
inference(avatar_contradiction_clause,[],[f38304]) ).
cnf(s7,plain,
( ~ spl106_8
| ~ spl106_9 ),
inference(sat_conversion,[],[f38232]) ).
cnf(s9,plain,
spl106_9,
inference(sat_conversion,[],[f38255]) ).
cnf(s14,plain,
spl106_8,
inference(sat_conversion,[],[f38305]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s7,s9,s14]) ).
fof(f38306,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP644+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n018.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 10:26:24 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 11.39/3.10 % (2125115)Detected formulas, will run a generic FOF schedule.
% 11.39/3.10 % (2125125)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=539593049:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 11.39/3.10 % (2125122)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=3217087771:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 11.39/3.10 % (2125120)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=2201187014:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 11.39/3.10 % (2125121)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=3274261457:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 11.39/3.10 % (2125123)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2989724147:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 11.39/3.10 % (2125124)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4100647006:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 11.39/3.10 % (2125126)dis-21_1_sil=8000:lcm=predicate:random_seed=1040658682:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 11.39/3.10 % (2125125)Instruction limit reached!
% 11.39/3.10 % (2125125)------------------------------
% 11.39/3.10 % (2125125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.10 % (2125125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.10 % (2125125)CaDiCaL version: 2.1.3
% 11.39/3.10 % (2125125)Termination reason: Instruction limit
% 11.39/3.10 % (2125125)Termination phase: Property scanning
% 11.39/3.10 % (2125125)Time elapsed: 0.060 s
% 11.39/3.10 % (2125125)Peak memory usage: 139 MB
% 11.39/3.10 % (2125125)Instructions burned: 141 (million)
% 11.39/3.10 % (2125123)Instruction limit reached!
% 11.39/3.10 % (2125123)------------------------------
% 11.39/3.10 % (2125123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.10 % (2125123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.10 % (2125123)CaDiCaL version: 2.1.3
% 11.39/3.10 % (2125123)Termination reason: Instruction limit
% 11.39/3.10 % (2125123)Termination phase: SInE selection
% 11.39/3.10 % (2125123)Time elapsed: 0.076 s
% 11.39/3.10 % (2125123)Peak memory usage: 139 MB
% 11.39/3.10 % (2125123)Instructions burned: 110 (million)
% 11.39/3.10 % (2125124)Instruction limit reached!
% 11.39/3.10 % (2125124)------------------------------
% 11.39/3.10 % (2125124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.10 % (2125124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.10 % (2125124)CaDiCaL version: 2.1.3
% 11.39/3.10 % (2125124)Termination reason: Instruction limit
% 11.39/3.10 % (2125124)Termination phase: SInE selection
% 11.39/3.10 % (2125124)Time elapsed: 0.083 s
% 11.39/3.10 % (2125124)Peak memory usage: 139 MB
% 11.39/3.10 % (2125124)Instructions burned: 120 (million)
% 11.39/3.10 % (2125126)Instruction limit reached!
% 11.39/3.10 % (2125126)------------------------------
% 11.39/3.10 % (2125126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.10 % (2125126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.10 % (2125126)CaDiCaL version: 2.1.3
% 11.39/3.10 % (2125126)Termination reason: Instruction limit
% 11.39/3.10 % (2125126)Termination phase: SInE selection
% 11.39/3.10 % (2125126)Time elapsed: 0.094 s
% 11.39/3.10 % (2125126)Peak memory usage: 139 MB
% 11.39/3.10 % (2125126)Instructions burned: 130 (million)
% 11.39/3.10 % (2125134)lrs+10_1_sil=8000:sp=occurrence:random_seed=4275198406:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.39/3.10 % (2125135)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2300030266:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 11.39/3.10 % (2125136)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4234846863:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 11.39/3.10 % (2125137)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=582893792:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 11.39/3.10 % (2125135)Instruction limit reached!
% 11.39/3.11 % (2125135)------------------------------
% 11.39/3.11 % (2125135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125135)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125135)Termination reason: Instruction limit
% 11.39/3.11 % (2125135)Termination phase: Property scanning
% 11.39/3.11 % (2125135)Time elapsed: 0.070 s
% 11.39/3.11 % (2125135)Peak memory usage: 139 MB
% 11.39/3.11 % (2125135)Instructions burned: 158 (million)
% 11.39/3.11 % (2125134)Instruction limit reached!
% 11.39/3.11 % (2125134)------------------------------
% 11.39/3.11 % (2125134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125134)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125134)Termination reason: Instruction limit
% 11.39/3.11 % (2125134)Termination phase: Property scanning
% 11.39/3.11 % (2125134)Time elapsed: 0.138 s
% 11.39/3.11 % (2125134)Peak memory usage: 142 MB
% 11.39/3.11 % (2125134)Instructions burned: 286 (million)
% 11.39/3.11 % (2125137)Instruction limit reached!
% 11.39/3.11 % (2125137)------------------------------
% 11.39/3.11 % (2125137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125137)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125137)Termination reason: Instruction limit
% 11.39/3.11 % (2125137)Termination phase: Property scanning
% 11.39/3.11 % (2125137)Time elapsed: 0.110 s
% 11.39/3.11 % (2125137)Peak memory usage: 139 MB
% 11.39/3.11 % (2125137)Instructions burned: 250 (million)
% 11.39/3.11 % (2125142)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1479701532:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 11.39/3.11 % (2125143)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3126156289:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 11.39/3.11 % (2125136)Instruction limit reached!
% 11.39/3.11 % (2125136)------------------------------
% 11.39/3.11 % (2125136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125136)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125136)Termination reason: Instruction limit
% 11.39/3.11 % (2125136)Termination phase: Saturation
% 11.39/3.11 % (2125136)Time elapsed: 0.259 s
% 11.39/3.11 % (2125136)Peak memory usage: 145 MB
% 11.39/3.11 % (2125136)Instructions burned: 326 (million)
% 11.39/3.11 % (2125144)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3280751756:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 11.39/3.11 % (2125142)Instruction limit reached!
% 11.39/3.11 % (2125142)------------------------------
% 11.39/3.11 % (2125142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125142)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125142)Termination reason: Instruction limit
% 11.39/3.11 % (2125142)Termination phase: SInE selection
% 11.39/3.11 % (2125142)Time elapsed: 0.185 s
% 11.39/3.11 % (2125142)Peak memory usage: 140 MB
% 11.39/3.11 % (2125142)Instructions burned: 295 (million)
% 11.39/3.11 % (2125144)Instruction limit reached!
% 11.39/3.11 % (2125144)------------------------------
% 11.39/3.11 % (2125144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125144)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125144)Termination reason: Instruction limit
% 11.39/3.11 % (2125144)Termination phase: SInE selection
% 11.39/3.11 % (2125144)Time elapsed: 0.093 s
% 11.39/3.11 % (2125144)Peak memory usage: 139 MB
% 11.39/3.11 % (2125144)Instructions burned: 115 (million)
% 11.39/3.11 % (2125147)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=497849729:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 11.39/3.11 % (2125149)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=811751128:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 11.39/3.11 % (2125147)Instruction limit reached!
% 11.39/3.11 % (2125147)------------------------------
% 11.39/3.11 % (2125147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125147)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125147)Termination reason: Instruction limit
% 11.39/3.11 % (2125147)Termination phase: Preprocessing 1
% 11.39/3.11 % (2125147)Time elapsed: 0.101 s
% 11.39/3.11 % (2125147)Peak memory usage: 140 MB
% 11.39/3.11 % (2125147)Instructions burned: 128 (million)
% 11.39/3.11 % (2125150)lrs+10_1_sil=8000:sp=occurrence:random_seed=1271622818:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 11.39/3.11 % (2125149)Instruction limit reached!
% 11.39/3.11 % (2125149)------------------------------
% 11.39/3.11 % (2125149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125149)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125149)Termination reason: Instruction limit
% 11.39/3.11 % (2125149)Termination phase: Property scanning
% 11.39/3.11 % (2125149)Time elapsed: 0.052 s
% 11.39/3.11 % (2125149)Peak memory usage: 139 MB
% 11.39/3.11 % (2125149)Instructions burned: 115 (million)
% 11.39/3.11 % (2125153)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2024498200:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 11.39/3.11 % (2125155)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2793907120:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 11.39/3.11 % (2125153)First to succeed.
% 11.39/3.11 % (2125153)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2125115"
% 11.39/3.11 % (2125143)Instruction limit reached!
% 11.39/3.11 % (2125143)------------------------------
% 11.39/3.11 % (2125143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125143)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125143)Termination reason: Instruction limit
% 11.39/3.11 % (2125143)Termination phase: Property scanning
% 11.39/3.11 % (2125143)Time elapsed: 0.894 s
% 11.39/3.11 % (2125143)Peak memory usage: 242 MB
% 11.39/3.11 % (2125143)Instructions burned: 2352 (million)
% 11.39/3.11 % (2125150)Instruction limit reached!
% 11.39/3.11 % (2125150)------------------------------
% 11.39/3.11 % (2125150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/3.11 % (2125150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/3.11 % (2125150)CaDiCaL version: 2.1.3
% 11.39/3.11 % (2125150)Termination reason: Instruction limit
% 11.39/3.11 % (2125150)Termination phase: Saturation
% 11.39/3.11 % (2125150)Time elapsed: 0.583 s
% 11.39/3.11 % (2125150)Peak memory usage: 153 MB
% 11.39/3.11 % (2125150)Instructions burned: 908 (million)
% 11.39/3.11 % (2125153)Refutation found. Thanks to Tanya!
% 11.39/3.11 % SZS status Theorem for theBenchmark
% 11.39/3.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/3.31 % (2125153)------------------------------
% 0.18/3.31 % (2125153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/3.31 % (2125153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.31 % (2125153)CaDiCaL version: 2.1.3
% 0.18/3.31 % (2125153)Termination reason: Refutation
% 0.18/3.31 % (2125153)Time elapsed: 0.248 s
% 0.18/3.31 % (2125153)Peak memory usage: 146 MB
% 0.18/3.31 % (2125153)Instructions burned: 323 (million)
% 0.18/3.31 % (2125153)------------------------------
% 0.18/3.31 % (2125153)------------------------------
% 0.18/3.31 % (2125115)Success in time 2.467 s
% 0.18/3.31 % Vampire exiting
%------------------------------------------------------------------------------