%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP622+1 : 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 : n008.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 10:15:02 AM UTC 2026
% Result : Theorem 6.61s 1.96s
% Output : Refutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 118 ( 18 unt; 6 def)
% Number of atoms : 400 ( 7 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 452 ( 170 ~; 214 |; 45 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 7 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 131 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_autgroup) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f13,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f21,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f40,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f58,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(f59,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f62,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,X0,X0)
& m2_relset_1(X1,X0,X0) )
=> r2_hidden(X1,k1_funct_2(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_funct_2) ).
fof(f63,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f72,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f73,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f72]) ).
fof(f90,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f94,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f95,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f107,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f108,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f113,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f117,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f127,plain,
( ~ r1_tarski(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0)))
& ~ v3_struct_0(sK0)
& v1_group_1(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f73]) ).
fof(f128,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f129,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK1(X0,X1),X1)
& r2_hidden(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f129]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(nnf_transformation,[],[f115]) ).
fof(f155,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f156,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f157,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f158,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f159,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f160,plain,
~ r1_tarski(k4_autgroup(sK0),k1_fraenkel(u1_struct_0(sK0),u1_struct_0(sK0))),
inference(cnf_transformation,[],[f127]) ).
fof(f182,plain,
! [X0,X1] :
( r2_hidden(sK1(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f183,plain,
! [X0,X1] :
( ~ r2_hidden(sK1(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f187,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f188,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f209,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f252,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X2)
| m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f258,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f259,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f273,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_fraenkel(X1,u1_struct_0(X0)) = k1_funct_2(X1,u1_struct_0(X0)) ),
inference(resolution,[],[f209,f252]) ).
fof(f277,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| k1_fraenkel(X1,u1_struct_0(X0)) = k1_funct_2(X1,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f273,f188]) ).
fof(f278,plain,
! [X0] :
( k1_fraenkel(X0,u1_struct_0(sK0)) = k1_funct_2(X0,u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(resolution,[],[f277,f155]) ).
fof(f279,plain,
! [X0] : k1_fraenkel(X0,u1_struct_0(sK0)) = k1_funct_2(X0,u1_struct_0(sK0)),
inference(forward_subsumption_resolution,[],[f278,f159]) ).
fof(f280,plain,
~ r1_tarski(k4_autgroup(sK0),k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0))),
inference(superposition,[],[f160,f279]) ).
fof(f283,definition,
( spl23_1
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f284,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f296,plain,
! [X0,X1] :
( m1_subset_1(sK1(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f259,f182]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X2,X3)
| m2_fraenkel(sK1(X0,X1),X2,X3,X0)
| v1_xboole_0(X3)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f296,f254]) ).
fof(f300,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v1_xboole_0(u1_struct_0(X0))
| r1_tarski(k4_autgroup(X0),X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| m2_fraenkel(sK1(k4_autgroup(X0),X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
inference(resolution,[],[f298,f187]) ).
fof(f308,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl23_1 ),
inference(resolution,[],[f284,f209]) ).
fof(f310,plain,
( ~ l1_struct_0(sK0)
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f308,f159]) ).
fof(f312,plain,
( ~ l1_group_1(sK0)
| ~ spl23_1 ),
inference(resolution,[],[f310,f188]) ).
fof(f314,plain,
( $false
| ~ spl23_1 ),
inference(forward_subsumption_resolution,[],[f312,f155]) ).
fof(f315,plain,
~ spl23_1,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f340,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| r1_tarski(k4_autgroup(sK0),X0)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| m2_fraenkel(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(resolution,[],[f300,f155]) ).
fof(f341,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| r1_tarski(k4_autgroup(sK0),X0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| m2_fraenkel(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(forward_subsumption_resolution,[],[f340,f159]) ).
fof(f342,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| r1_tarski(k4_autgroup(sK0),X0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| m2_fraenkel(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(forward_subsumption_resolution,[],[f341,f158]) ).
fof(f343,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| r1_tarski(k4_autgroup(sK0),X0)
| ~ v4_group_1(sK0)
| m2_fraenkel(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(forward_subsumption_resolution,[],[f342,f157]) ).
fof(f344,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| r1_tarski(k4_autgroup(sK0),X0)
| m2_fraenkel(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
inference(forward_subsumption_resolution,[],[f343,f156]) ).
fof(f346,definition,
( spl23_6
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK0),X0)
| m2_fraenkel(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f347,plain,
( ! [X0] :
( m2_fraenkel(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| r1_tarski(k4_autgroup(sK0),X0) )
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( spl23_6
| spl23_1 ),
inference(avatar_split_clause,[],[f344,f283,f346]) ).
fof(f349,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK0),X0)
| v1_funct_1(sK1(k4_autgroup(sK0),X0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl23_6 ),
inference(resolution,[],[f347,f193]) ).
fof(f351,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK0),X0)
| v1_funct_2(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl23_6 ),
inference(resolution,[],[f347,f192]) ).
fof(f352,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK0),X0)
| m2_relset_1(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl23_6 ),
inference(resolution,[],[f347,f191]) ).
fof(f354,definition,
( spl23_7
<=> m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_7])],[avatar_definition]) ).
fof(f355,plain,
( ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| spl23_7 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,definition,
( spl23_8
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK0),X0)
| m2_relset_1(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition]) ).
fof(f358,plain,
( ! [X0] :
( m2_relset_1(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0))
| r1_tarski(k4_autgroup(sK0),X0) )
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( ~ spl23_7
| spl23_1
| spl23_8
| ~ spl23_6 ),
inference(avatar_split_clause,[],[f352,f346,f357,f283,f354]) ).
fof(f361,definition,
( spl23_9
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK0),X0)
| v1_funct_2(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl23_9])],[avatar_definition]) ).
fof(f362,plain,
( ! [X0] :
( v1_funct_2(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0))
| r1_tarski(k4_autgroup(sK0),X0) )
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( ~ spl23_7
| spl23_1
| spl23_9
| ~ spl23_6 ),
inference(avatar_split_clause,[],[f351,f346,f361,f283,f354]) ).
fof(f365,definition,
( spl23_10
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK0),X0)
| v1_funct_1(sK1(k4_autgroup(sK0),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).
fof(f366,plain,
( ! [X0] :
( v1_funct_1(sK1(k4_autgroup(sK0),X0))
| r1_tarski(k4_autgroup(sK0),X0) )
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( ~ spl23_7
| spl23_1
| spl23_10
| ~ spl23_6 ),
inference(avatar_split_clause,[],[f349,f346,f365,f283,f354]) ).
fof(f369,plain,
( v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_7 ),
inference(resolution,[],[f355,f187]) ).
fof(f371,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f369,f159]) ).
fof(f372,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f371,f158]) ).
fof(f373,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f372,f157]) ).
fof(f374,plain,
( ~ l1_group_1(sK0)
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f373,f156]) ).
fof(f375,plain,
( $false
| spl23_7 ),
inference(forward_subsumption_resolution,[],[f374,f155]) ).
fof(f376,plain,
spl23_7,
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f382,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK1(k4_autgroup(sK0),X0),X1,X1)
| r2_hidden(sK1(k4_autgroup(sK0),X0),k1_funct_2(X1,X1))
| r1_tarski(k4_autgroup(sK0),X0)
| ~ m2_relset_1(sK1(k4_autgroup(sK0),X0),X1,X1) )
| ~ spl23_10 ),
inference(resolution,[],[f366,f258]) ).
fof(f383,plain,
( ! [X0] :
( r2_hidden(sK1(k4_autgroup(sK0),X0),k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0)))
| r1_tarski(k4_autgroup(sK0),X0)
| ~ m2_relset_1(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0))
| r1_tarski(k4_autgroup(sK0),X0) )
| ~ spl23_9
| ~ spl23_10 ),
inference(resolution,[],[f382,f362]) ).
fof(f384,plain,
( ! [X0] :
( r2_hidden(sK1(k4_autgroup(sK0),X0),k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0)))
| r1_tarski(k4_autgroup(sK0),X0)
| ~ m2_relset_1(sK1(k4_autgroup(sK0),X0),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl23_9
| ~ spl23_10 ),
inference(duplicate_literal_removal,[],[f383]) ).
fof(f385,plain,
( ! [X0] :
( r2_hidden(sK1(k4_autgroup(sK0),X0),k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0)))
| r1_tarski(k4_autgroup(sK0),X0) )
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f384,f358]) ).
fof(f386,plain,
( r1_tarski(k4_autgroup(sK0),k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0)))
| r1_tarski(k4_autgroup(sK0),k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(resolution,[],[f385,f183]) ).
fof(f388,plain,
( r1_tarski(k4_autgroup(sK0),k1_funct_2(u1_struct_0(sK0),u1_struct_0(sK0)))
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(duplicate_literal_removal,[],[f386]) ).
fof(f389,plain,
( $false
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(forward_subsumption_resolution,[],[f388,f280]) ).
fof(f390,plain,
( ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(avatar_contradiction_clause,[],[f389]) ).
cnf(s4,plain,
~ spl23_1,
inference(sat_conversion,[],[f315]) ).
cnf(s7,plain,
( spl23_1
| spl23_6 ),
inference(sat_conversion,[],[f348]) ).
cnf(s8,plain,
( spl23_1
| ~ spl23_6
| ~ spl23_7
| spl23_8 ),
inference(sat_conversion,[],[f359]) ).
cnf(s9,plain,
( spl23_1
| ~ spl23_6
| ~ spl23_7
| spl23_9 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl23_1
| ~ spl23_6
| ~ spl23_7
| spl23_10 ),
inference(sat_conversion,[],[f367]) ).
cnf(s12,plain,
spl23_7,
inference(sat_conversion,[],[f376]) ).
cnf(s13,plain,
( ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(sat_conversion,[],[f390]) ).
cnf(s14,plain,
( spl23_1
| ~ spl23_6
| spl23_10 ),
inference(rat,[],[s10,s12]) ).
cnf(s15,plain,
( spl23_1
| ~ spl23_6
| spl23_9 ),
inference(rat,[],[s9,s12]) ).
cnf(s16,plain,
( spl23_1
| ~ spl23_6
| spl23_8 ),
inference(rat,[],[s8,s12]) ).
cnf(s17,plain,
spl23_6,
inference(rat,[],[s7,s4]) ).
cnf(s20,plain,
spl23_10,
inference(rat,[],[s14,s4,s17]) ).
cnf(s21,plain,
spl23_9,
inference(rat,[],[s15,s4,s17]) ).
cnf(s22,plain,
spl23_8,
inference(rat,[],[s16,s4,s17]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s13,s20,s21,s22]) ).
fof(f391,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP622+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:10:54 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 6.61/1.96 % (1007216)Detected formulas, will run a generic FOF schedule.
% 6.61/1.96 % (1007224)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3061139800:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.61/1.96 % (1007224)Refutation not found, incomplete strategy
% 6.61/1.96 % (1007224)------------------------------
% 6.61/1.96 % (1007224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007224)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007224)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.96 % (1007224)Time elapsed: 0.001 s
% 6.61/1.96 % (1007224)Peak memory usage: 88 MB
% 6.61/1.96 % (1007221)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=3617165541:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.61/1.96 % (1007227)dis-21_1_sil=8000:lcm=predicate:random_seed=4157616774: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)
% 6.61/1.96 % (1007226)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=102563116:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.61/1.96 % (1007223)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=1542362144:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.61/1.96 % (1007225)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4080208909:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.61/1.96 % (1007222)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=638431706:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.61/1.96 % (1007225)Instruction limit reached!
% 6.61/1.96 % (1007225)------------------------------
% 6.61/1.96 % (1007225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007225)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007225)Termination reason: Instruction limit
% 6.61/1.96 % (1007225)Termination phase: Saturation
% 6.61/1.96 % (1007225)Time elapsed: 0.073 s
% 6.61/1.96 % (1007225)Peak memory usage: 88 MB
% 6.61/1.96 % (1007225)Instructions burned: 119 (million)
% 6.61/1.96 % (1007227)Instruction limit reached!
% 6.61/1.96 % (1007227)------------------------------
% 6.61/1.96 % (1007227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007227)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007227)Termination reason: Instruction limit
% 6.61/1.96 % (1007227)Termination phase: Saturation
% 6.61/1.96 % (1007227)Time elapsed: 0.079 s
% 6.61/1.96 % (1007227)Peak memory usage: 90 MB
% 6.61/1.96 % (1007227)Instructions burned: 130 (million)
% 6.61/1.96 % (1007224)------------------------------
% 6.61/1.96 % (1007224)------------------------------
% 6.61/1.96 % (1007226)Instruction limit reached!
% 6.61/1.96 % (1007226)------------------------------
% 6.61/1.96 % (1007226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007226)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007226)Termination reason: Instruction limit
% 6.61/1.96 % (1007226)Termination phase: Saturation
% 6.61/1.96 % (1007226)Time elapsed: 0.099 s
% 6.61/1.96 % (1007226)Peak memory usage: 89 MB
% 6.61/1.96 % (1007226)Instructions burned: 139 (million)
% 6.61/1.96 % (1007237)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3582820879:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.61/1.96 % (1007236)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1203731356:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.61/1.96 % (1007235)lrs+10_1_sil=8000:sp=occurrence:random_seed=1076976262:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.61/1.96 % (1007236)Refutation not found, incomplete strategy
% 6.61/1.96 % (1007236)------------------------------
% 6.61/1.96 % (1007236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007236)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007236)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.96 % (1007236)Time elapsed: 0.002 s
% 6.61/1.96 % (1007236)Peak memory usage: 89 MB
% 6.61/1.96 % (1007236)Instructions burned: 2 (million)
% 6.61/1.96 % (1007238)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=3143618753:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.61/1.96 % (1007237)Instruction limit reached!
% 6.61/1.96 % (1007237)------------------------------
% 6.61/1.96 % (1007237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007237)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007237)Termination reason: Instruction limit
% 6.61/1.96 % (1007237)Termination phase: Saturation
% 6.61/1.96 % (1007237)Time elapsed: 0.075 s
% 6.61/1.96 % (1007237)Peak memory usage: 89 MB
% 6.61/1.96 % (1007237)Instructions burned: 326 (million)
% 6.61/1.96 % (1007235)Instruction limit reached!
% 6.61/1.96 % (1007235)------------------------------
% 6.61/1.96 % (1007235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007235)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007235)Termination reason: Instruction limit
% 6.61/1.96 % (1007235)Termination phase: Saturation
% 6.61/1.96 % (1007235)Time elapsed: 0.181 s
% 6.61/1.96 % (1007235)Peak memory usage: 92 MB
% 6.61/1.96 % (1007235)Instructions burned: 285 (million)
% 6.61/1.96 % (1007243)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2671851703:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.61/1.96 % (1007243)Refutation not found, incomplete strategy
% 6.61/1.96 % (1007243)------------------------------
% 6.61/1.96 % (1007243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007243)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007243)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.96 % (1007243)Time elapsed: 0.002 s
% 6.61/1.96 % (1007243)Peak memory usage: 88 MB
% 6.61/1.96 % (1007243)Instructions burned: 3 (million)
% 6.61/1.96 % (1007238)Instruction limit reached!
% 6.61/1.96 % (1007238)------------------------------
% 6.61/1.96 % (1007238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007238)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007238)Termination reason: Instruction limit
% 6.61/1.96 % (1007238)Termination phase: Saturation
% 6.61/1.96 % (1007238)Time elapsed: 0.162 s
% 6.61/1.96 % (1007238)Peak memory usage: 91 MB
% 6.61/1.96 % (1007238)Instructions burned: 249 (million)
% 6.61/1.96 % (1007236)------------------------------
% 6.61/1.96 % (1007236)------------------------------
% 6.61/1.96 % (1007244)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=754507435:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.61/1.96 % (1007243)------------------------------
% 6.61/1.96 % (1007243)------------------------------
% 6.61/1.96 % (1007246)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1994865161:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.61/1.96 % (1007247)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2912425755:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.61/1.96 % (1007222)First to succeed.
% 6.61/1.96 % (1007246)Also succeeded, but the first one will report.
% 6.61/1.96 % (1007221)Also succeeded, but the first one will report.
% 6.61/1.96 % (1007222)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1007216"
% 6.61/1.96 % (1007223)Also succeeded, but the first one will report.
% 6.61/1.96 % (1007247)Instruction limit reached!
% 6.61/1.96 % (1007247)------------------------------
% 6.61/1.96 % (1007247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007247)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007247)Termination reason: Instruction limit
% 6.61/1.96 % (1007247)Termination phase: Saturation
% 6.61/1.96 % (1007247)Time elapsed: 0.065 s
% 6.61/1.96 % (1007247)Peak memory usage: 89 MB
% 6.61/1.96 % (1007247)Instructions burned: 128 (million)
% 6.61/1.96 % (1007249)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2915085774:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.61/1.96 % (1007249)Instruction limit reached!
% 6.61/1.96 % (1007249)------------------------------
% 6.61/1.96 % (1007249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007249)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007249)Termination reason: Instruction limit
% 6.61/1.96 % (1007249)Termination phase: Saturation
% 6.61/1.96 % (1007249)Time elapsed: 0.029 s
% 6.61/1.96 % (1007249)Peak memory usage: 88 MB
% 6.61/1.96 % (1007249)Instructions burned: 118 (million)
% 6.61/1.96 % (1007252)lrs+10_1_sil=8000:sp=occurrence:random_seed=1659050833:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.61/1.96 % (1007254)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=308848853:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.61/1.96 % (1007254)Refutation not found, incomplete strategy
% 6.61/1.96 % (1007254)------------------------------
% 6.61/1.96 % (1007254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1007254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1007254)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1007254)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.96 % (1007254)Time elapsed: 0.002 s
% 6.61/1.96 % (1007254)Peak memory usage: 88 MB
% 6.61/1.96 % (1007254)Instructions burned: 3 (million)
% 6.61/1.96 % (1007222)Refutation found. Thanks to Tanya!
% 6.61/1.96 % SZS status Theorem for theBenchmark
% 6.61/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.35/2.17 % (1007222)------------------------------
% 8.35/2.17 % (1007222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.17 % (1007222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.17 % (1007222)CaDiCaL version: 2.1.3
% 8.35/2.17 % (1007222)Termination reason: Refutation
% 8.35/2.17 % (1007222)Time elapsed: 0.648 s
% 8.35/2.17 % (1007222)Peak memory usage: 128 MB
% 8.35/2.17 % (1007222)Instructions burned: 957 (million)
% 8.35/2.17 % (1007222)------------------------------
% 8.35/2.17 % (1007222)------------------------------
% 8.35/2.17 % (1007216)Success in time 1.093 s
% 8.35/2.17 % Vampire exiting
%------------------------------------------------------------------------------