%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP622+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 10:15:03 AM UTC 2026
% Result : Theorem 15.43s 3.17s
% Output : Refutation 15.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 106 ( 22 unt; 2 def)
% Number of atoms : 344 ( 17 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 395 ( 157 ~; 174 |; 45 &)
% ( 7 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 3 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 172 ( 0 sgn 168 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f330,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f1100,axiom,
! [X0,X1] : k3_partfun1(k1_xboole_0,X0,X1) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t91_partfun1) ).
fof(f1239,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/sandbox2/benchmark/theBenchmark.p',t12_funct_2) ).
fof(f1389,axiom,
! [X0,X1] : k5_partfun1(X0,X1,k3_partfun1(k1_xboole_0,X0,X1)) = k1_funct_2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t160_funct_2) ).
fof(f1872,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/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f1874,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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f1876,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(f2220,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f2481,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f2766,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f3804,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/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f3825,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/sandbox2/benchmark/theBenchmark.p',t12_autgroup) ).
fof(f3826,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)],[f3825]) ).
fof(f3853,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,[],[f3804]) ).
fof(f3854,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,[],[f3853]) ).
fof(f3893,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,[],[f3826]) ).
fof(f3894,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,[],[f3893]) ).
fof(f3896,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,[],[f1874]) ).
fof(f3897,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,[],[f3896]) ).
fof(f3900,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,[],[f1872]) ).
fof(f3901,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,[],[f3900]) ).
fof(f3999,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f330]) ).
fof(f4060,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f4317,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f1876]) ).
fof(f4330,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,[],[f1239]) ).
fof(f4331,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,[],[f4330]) ).
fof(f5134,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2766]) ).
fof(f5142,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2481]) ).
fof(f5143,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f5142]) ).
fof(f5785,plain,
( ~ r1_tarski(k4_autgroup(sK21),k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21)))
& ~ v3_struct_0(sK21)
& v1_group_1(sK21)
& v3_group_1(sK21)
& v4_group_1(sK21)
& l1_group_1(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f3894]) ).
fof(f5786,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,[],[f3897]) ).
fof(f5826,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,[],[f4060]) ).
fof(f5827,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,[],[f5826]) ).
fof(f5828,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK49(X0,X1),X1)
& r2_hidden(sK49(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X2,sK49(X0,X1))],[f5827]) ).
fof(f6369,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,[],[f3854]) ).
fof(f6437,plain,
l1_group_1(sK21),
inference(cnf_transformation,[],[f5785]) ).
fof(f6438,plain,
v4_group_1(sK21),
inference(cnf_transformation,[],[f5785]) ).
fof(f6439,plain,
v3_group_1(sK21),
inference(cnf_transformation,[],[f5785]) ).
fof(f6440,plain,
v1_group_1(sK21),
inference(cnf_transformation,[],[f5785]) ).
fof(f6441,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f5785]) ).
fof(f6442,plain,
~ r1_tarski(k4_autgroup(sK21),k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))),
inference(cnf_transformation,[],[f5785]) ).
fof(f6445,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f5786]) ).
fof(f6447,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,[],[f3901]) ).
fof(f6448,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,[],[f3901]) ).
fof(f6449,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,[],[f3901]) ).
fof(f6541,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f3999]) ).
fof(f6631,plain,
! [X0,X1] :
( r2_hidden(sK49(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f5828]) ).
fof(f6632,plain,
! [X0,X1] :
( ~ r2_hidden(sK49(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f5828]) ).
fof(f6969,plain,
! [X0,X1] :
( k1_funct_2(X0,X1) = k1_fraenkel(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f4317]) ).
fof(f6978,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k5_partfun1(X0,X1,k3_partfun1(k1_xboole_0,X0,X1)),
inference(cnf_transformation,[],[f1389]) ).
fof(f6984,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(cnf_transformation,[],[f4331]) ).
fof(f7076,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f2220]) ).
fof(f7697,plain,
! [X0,X1] : k1_xboole_0 = k3_partfun1(k1_xboole_0,X0,X1),
inference(cnf_transformation,[],[f1100]) ).
fof(f7900,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5134]) ).
fof(f7911,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f5143]) ).
fof(f8823,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k5_partfun1(X0,X1,k3_partfun1(np__0,X0,X1)),
inference(definition_unfolding,[],[f6978,f7076]) ).
fof(f8917,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k5_partfun1(X0,X1,k3_partfun1(np__0,X0,X1))
| v1_xboole_0(X1) ),
inference(definition_unfolding,[],[f6969,f8823]) ).
fof(f8931,plain,
! [X0,X1] :
( r2_hidden(X1,k5_partfun1(X0,X0,k3_partfun1(np__0,X0,X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(definition_unfolding,[],[f6984,f8823]) ).
fof(f9089,plain,
! [X0,X1] : np__0 = k3_partfun1(np__0,X0,X1),
inference(definition_unfolding,[],[f7697,f7076,f7076]) ).
fof(f9868,plain,
! [X0,X1] :
( r2_hidden(X1,k5_partfun1(X0,X0,np__0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(forward_demodulation,[],[f8931,f9089]) ).
fof(f9882,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| k1_fraenkel(X0,X1) = k5_partfun1(X0,X1,np__0) ),
inference(forward_demodulation,[],[f8917,f9089]) ).
fof(f10030,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X0)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X3,X1)
| ~ m1_subset_1(X0,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X3,X1) ),
inference(resolution,[],[f6449,f6445]) ).
fof(f10032,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X3,X1)
| v1_funct_1(X0) ),
inference(duplicate_literal_removal,[],[f10030]) ).
fof(f10036,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(resolution,[],[f6448,f6445]) ).
fof(f10038,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| v1_funct_2(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f10036]) ).
fof(f10040,plain,
! [X0,X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| k1_fraenkel(X0,u1_struct_0(X1)) = k5_partfun1(X0,u1_struct_0(X1),np__0) ),
inference(resolution,[],[f9882,f7911]) ).
fof(f10041,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| k1_fraenkel(X1,u1_struct_0(X0)) = k5_partfun1(X1,u1_struct_0(X0),np__0)
| v3_struct_0(X0) ),
inference(resolution,[],[f10040,f7900]) ).
fof(f10042,plain,
! [X0] :
( k1_fraenkel(X0,u1_struct_0(sK21)) = k5_partfun1(X0,u1_struct_0(sK21),np__0)
| v3_struct_0(sK21) ),
inference(resolution,[],[f10041,f6437]) ).
fof(f10043,plain,
! [X0] : k1_fraenkel(X0,u1_struct_0(sK21)) = k5_partfun1(X0,u1_struct_0(sK21),np__0),
inference(forward_subsumption_resolution,[],[f10042,f6441]) ).
fof(f10064,definition,
( spl361_9
<=> v1_xboole_0(u1_struct_0(sK21)) ),
introduced(definition,[new_symbols(definition,[spl361_9])],[avatar_definition]) ).
fof(f10065,plain,
( v1_xboole_0(u1_struct_0(sK21))
| ~ spl361_9 ),
inference(avatar_component_clause,[],[f10064]) ).
fof(f10079,plain,
( v3_struct_0(sK21)
| ~ l1_struct_0(sK21)
| ~ spl361_9 ),
inference(resolution,[],[f10065,f7911]) ).
fof(f10080,plain,
( ~ l1_struct_0(sK21)
| ~ spl361_9 ),
inference(forward_subsumption_resolution,[],[f10079,f6441]) ).
fof(f10082,plain,
( ~ l1_group_1(sK21)
| ~ spl361_9 ),
inference(resolution,[],[f10080,f7900]) ).
fof(f10084,plain,
( $false
| ~ spl361_9 ),
inference(forward_subsumption_resolution,[],[f10082,f6437]) ).
fof(f10085,plain,
~ spl361_9,
inference(avatar_contradiction_clause,[],[f10084]) ).
fof(f10095,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(resolution,[],[f6447,f6445]) ).
fof(f10097,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f10095]) ).
fof(f11122,plain,
! [X0,X1] :
( m1_subset_1(sK49(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f6541,f6631]) ).
fof(f11127,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X3,X2)
| v1_xboole_0(X2)
| r1_tarski(X0,X1)
| v1_funct_1(sK49(X0,X1)) ),
inference(resolution,[],[f11122,f10032]) ).
fof(f11128,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(sK49(X0,X1),X3,X2)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X0,X3,X2)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f11122,f10097]) ).
fof(f11129,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X3,X2)
| v1_xboole_0(X2)
| r1_tarski(X0,X1)
| v1_funct_2(sK49(X0,X1),X3,X2) ),
inference(resolution,[],[f11122,f10038]) ).
fof(f12682,plain,
! [X0] :
( r2_hidden(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK21),u1_struct_0(sK21))
| ~ m2_relset_1(X0,u1_struct_0(sK21),u1_struct_0(sK21)) ),
inference(superposition,[],[f9868,f10043]) ).
fof(f12705,plain,
! [X0] :
( ~ m2_relset_1(sK49(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))),u1_struct_0(sK21),u1_struct_0(sK21))
| ~ v1_funct_2(sK49(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))),u1_struct_0(sK21),u1_struct_0(sK21))
| ~ v1_funct_1(sK49(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))) ),
inference(resolution,[],[f12682,f6632]) ).
fof(f12708,plain,
! [X0] :
( ~ v1_funct_2(sK49(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))),u1_struct_0(sK21),u1_struct_0(sK21))
| ~ v1_funct_1(sK49(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21)))
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))) ),
inference(resolution,[],[f12705,f11128]) ).
fof(f12709,plain,
! [X0] :
( ~ v1_funct_2(sK49(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))),u1_struct_0(sK21),u1_struct_0(sK21))
| ~ v1_funct_1(sK49(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21)))
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21)) ),
inference(duplicate_literal_removal,[],[f12708]) ).
fof(f12710,plain,
! [X0] :
( ~ v1_funct_1(sK49(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21)))
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21)) ),
inference(forward_subsumption_resolution,[],[f12709,f11129]) ).
fof(f12711,plain,
! [X0] :
( r1_tarski(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21)))
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21)) ),
inference(forward_subsumption_resolution,[],[f12710,f11127]) ).
fof(f12713,definition,
( spl361_230
<=> ! [X0] :
( r1_tarski(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21)))
| ~ m1_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21)) ) ),
introduced(definition,[new_symbols(definition,[spl361_230])],[avatar_definition]) ).
fof(f12714,plain,
( ! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK21),u1_struct_0(sK21))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21))) )
| ~ spl361_230 ),
inference(avatar_component_clause,[],[f12713]) ).
fof(f12715,plain,
( spl361_9
| spl361_230 ),
inference(avatar_split_clause,[],[f12711,f12713,f10064]) ).
fof(f12716,plain,
( r1_tarski(k4_autgroup(sK21),k1_fraenkel(u1_struct_0(sK21),u1_struct_0(sK21)))
| v3_struct_0(sK21)
| ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ spl361_230 ),
inference(resolution,[],[f12714,f6369]) ).
fof(f12719,plain,
( v3_struct_0(sK21)
| ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ spl361_230 ),
inference(forward_subsumption_resolution,[],[f12716,f6442]) ).
fof(f12720,plain,
( ~ v1_group_1(sK21)
| ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ spl361_230 ),
inference(forward_subsumption_resolution,[],[f12719,f6441]) ).
fof(f12721,plain,
( ~ v3_group_1(sK21)
| ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ spl361_230 ),
inference(forward_subsumption_resolution,[],[f12720,f6440]) ).
fof(f12722,plain,
( ~ v4_group_1(sK21)
| ~ l1_group_1(sK21)
| ~ spl361_230 ),
inference(forward_subsumption_resolution,[],[f12721,f6439]) ).
fof(f12723,plain,
( ~ l1_group_1(sK21)
| ~ spl361_230 ),
inference(forward_subsumption_resolution,[],[f12722,f6438]) ).
fof(f12724,plain,
( $false
| ~ spl361_230 ),
inference(forward_subsumption_resolution,[],[f12723,f6437]) ).
fof(f12725,plain,
~ spl361_230,
inference(avatar_contradiction_clause,[],[f12724]) ).
cnf(s11,plain,
~ spl361_9,
inference(sat_conversion,[],[f10085]) ).
cnf(s223,plain,
( spl361_9
| spl361_230 ),
inference(sat_conversion,[],[f12715]) ).
cnf(s224,plain,
~ spl361_230,
inference(sat_conversion,[],[f12725]) ).
cnf(s225,plain,
spl361_9,
inference(rat,[],[s223,s224]) ).
cnf(s335,plain,
$false,
inference(rat,[],[s11,s225]) ).
fof(f12726,plain,
$false,
inference(avatar_sat_refutation,[],[s335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP622+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 10:09:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.51/2.86 % (4186173)Detected formulas, will run a generic FOF schedule.
% 12.51/2.86 % (4186437)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=469965440:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.51/2.86 % (4186437)Refutation not found, incomplete strategy
% 12.51/2.86 % (4186437)------------------------------
% 12.51/2.86 % (4186437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/2.86 % (4186437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.86 % (4186437)CaDiCaL version: 2.1.3
% 12.51/2.86 % (4186437)Termination reason: Refutation not found, incomplete strategy
% 12.51/2.86 % (4186437)Time elapsed: 0.011 s
% 12.51/2.86 % (4186437)Peak memory usage: 93 MB
% 12.51/2.86 % (4186437)Instructions burned: 23 (million)
% 12.51/2.86 % (4186439)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=961565582:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.51/2.86 % (4186441)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3119689690:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.51/2.86 % (4186435)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=2605862004:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.51/2.86 % (4186442)dis-21_1_sil=8000:lcm=predicate:random_seed=2935639789:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.51/2.86 % (4186432)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=4252911799:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.51/2.86 % (4186434)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=3065143117:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.51/2.86 % (4186439)Instruction limit reached!
% 12.51/2.86 % (4186439)------------------------------
% 12.51/2.86 % (4186439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/2.86 % (4186439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.86 % (4186439)CaDiCaL version: 2.1.3
% 12.51/2.86 % (4186439)Termination reason: Instruction limit
% 12.51/2.86 % (4186439)Termination phase: Saturation
% 12.51/2.86 % (4186439)Time elapsed: 0.075 s
% 12.51/2.86 % (4186439)Peak memory usage: 94 MB
% 12.51/2.86 % (4186439)Instructions burned: 119 (million)
% 12.51/2.86 % (4186441)Instruction limit reached!
% 12.51/2.86 % (4186441)------------------------------
% 12.51/2.86 % (4186441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/2.86 % (4186441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.86 % (4186441)CaDiCaL version: 2.1.3
% 12.51/2.86 % (4186441)Termination reason: Instruction limit
% 12.51/2.86 % (4186441)Termination phase: Preprocessing 3
% 12.51/2.86 % (4186441)Time elapsed: 0.089 s
% 12.51/2.86 % (4186441)Peak memory usage: 94 MB
% 12.51/2.86 % (4186441)Instructions burned: 140 (million)
% 12.51/2.86 % (4186442)Instruction limit reached!
% 12.51/2.86 % (4186442)------------------------------
% 12.51/2.86 % (4186442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/2.86 % (4186442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.86 % (4186442)CaDiCaL version: 2.1.3
% 12.51/2.86 % (4186442)Termination reason: Instruction limit
% 12.51/2.86 % (4186442)Termination phase: Preprocessing 3
% 12.51/2.86 % (4186442)Time elapsed: 0.089 s
% 12.51/2.86 % (4186442)Peak memory usage: 94 MB
% 12.51/2.86 % (4186442)Instructions burned: 130 (million)
% 12.51/2.86 % (4186437)------------------------------
% 12.51/2.86 % (4186437)------------------------------
% 12.51/2.86 % (4186550)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=320272950:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.51/2.86 % (4186539)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3764880457:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.51/2.86 % (4186537)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1074338009:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.51/2.86 % (4186530)lrs+10_1_sil=8000:sp=occurrence:random_seed=1790241517:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 15.43/3.17 % (4186539)Refutation not found, incomplete strategy
% 15.43/3.17 % (4186539)------------------------------
% 15.43/3.17 % (4186539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186539)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186539)Termination reason: Refutation not found, incomplete strategy
% 15.43/3.17 % (4186539)Time elapsed: 0.018 s
% 15.43/3.17 % (4186539)Peak memory usage: 93 MB
% 15.43/3.17 % (4186539)Instructions burned: 21 (million)
% 15.43/3.17 % (4186550)Instruction limit reached!
% 15.43/3.17 % (4186550)------------------------------
% 15.43/3.17 % (4186550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186550)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186550)Termination reason: Instruction limit
% 15.43/3.17 % (4186550)Termination phase: Property scanning
% 15.43/3.17 % (4186550)Time elapsed: 0.077 s
% 15.43/3.17 % (4186550)Peak memory usage: 97 MB
% 15.43/3.17 % (4186550)Instructions burned: 250 (million)
% 15.43/3.17 % (4186537)Instruction limit reached!
% 15.43/3.17 % (4186537)------------------------------
% 15.43/3.17 % (4186537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186537)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186537)Termination reason: Instruction limit
% 15.43/3.17 % (4186537)Termination phase: Saturation
% 15.43/3.17 % (4186537)Time elapsed: 0.076 s
% 15.43/3.17 % (4186537)Peak memory usage: 93 MB
% 15.43/3.17 % (4186537)Instructions burned: 158 (million)
% 15.43/3.17 % (4186620)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2025492580:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 15.43/3.17 % (4186530)Instruction limit reached!
% 15.43/3.17 % (4186530)------------------------------
% 15.43/3.17 % (4186530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186530)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186530)Termination reason: Instruction limit
% 15.43/3.17 % (4186530)Termination phase: Saturation
% 15.43/3.17 % (4186530)Time elapsed: 0.190 s
% 15.43/3.17 % (4186530)Peak memory usage: 97 MB
% 15.43/3.17 % (4186530)Instructions burned: 286 (million)
% 15.43/3.17 % (4186625)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2674165034:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.43/3.17 % (4186620)Instruction limit reached!
% 15.43/3.17 % (4186620)------------------------------
% 15.43/3.17 % (4186620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186620)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186620)Termination reason: Instruction limit
% 15.43/3.17 % (4186620)Termination phase: Saturation
% 15.43/3.17 % (4186620)Time elapsed: 0.095 s
% 15.43/3.17 % (4186620)Peak memory usage: 97 MB
% 15.43/3.17 % (4186620)Instructions burned: 298 (million)
% 15.43/3.17 % (4186539)------------------------------
% 15.43/3.17 % (4186539)------------------------------
% 15.43/3.17 % (4186671)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3530973417:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 15.43/3.17 % (4186695)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2357593616:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 15.43/3.17 % (4186671)Instruction limit reached!
% 15.43/3.17 % (4186671)------------------------------
% 15.43/3.17 % (4186671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186671)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186671)Termination reason: Instruction limit
% 15.43/3.17 % (4186671)Termination phase: Property scanning
% 15.43/3.17 % (4186671)Time elapsed: 0.068 s
% 15.43/3.17 % (4186671)Peak memory usage: 93 MB
% 15.43/3.17 % (4186671)Instructions burned: 114 (million)
% 15.43/3.17 % (4186701)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2033378618:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.43/3.17 % (4186701)Instruction limit reached!
% 15.43/3.17 % (4186701)------------------------------
% 15.43/3.17 % (4186701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186701)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186701)Termination reason: Instruction limit
% 15.43/3.17 % (4186701)Termination phase: Unused predicate definition removal
% 15.43/3.17 % (4186701)Time elapsed: 0.057 s
% 15.43/3.17 % (4186701)Peak memory usage: 90 MB
% 15.43/3.17 % (4186701)Instructions burned: 114 (million)
% 15.43/3.17 % (4186695)Instruction limit reached!
% 15.43/3.17 % (4186695)------------------------------
% 15.43/3.17 % (4186695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186695)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186695)Termination reason: Instruction limit
% 15.43/3.17 % (4186695)Termination phase: Preprocessing 3
% 15.43/3.17 % (4186695)Time elapsed: 0.083 s
% 15.43/3.17 % (4186695)Peak memory usage: 96 MB
% 15.43/3.17 % (4186695)Instructions burned: 128 (million)
% 15.43/3.17 % (4186753)lrs+10_1_sil=8000:sp=occurrence:random_seed=700734391:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 15.43/3.17 % (4186776)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3818124896:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 15.43/3.17 % (4186782)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3143147459:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 15.43/3.17 % (4186776)Instruction limit reached!
% 15.43/3.17 % (4186776)------------------------------
% 15.43/3.17 % (4186776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186776)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186776)Termination reason: Instruction limit
% 15.43/3.17 % (4186776)Termination phase: Saturation
% 15.43/3.17 % (4186776)Time elapsed: 0.269 s
% 15.43/3.17 % (4186776)Peak memory usage: 96 MB
% 15.43/3.17 % (4186776)Instructions burned: 437 (million)
% 15.43/3.17 % (4186936)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1792734662:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 15.43/3.17 % (4186936)Instruction limit reached!
% 15.43/3.17 % (4186936)------------------------------
% 15.43/3.17 % (4186936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186936)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186936)Termination reason: Instruction limit
% 15.43/3.17 % (4186936)Termination phase: Saturation
% 15.43/3.17 % (4186936)Time elapsed: 0.084 s
% 15.43/3.17 % (4186936)Peak memory usage: 96 MB
% 15.43/3.17 % (4186936)Instructions burned: 134 (million)
% 15.43/3.17 % (4186753)Instruction limit reached!
% 15.43/3.17 % (4186753)------------------------------
% 15.43/3.17 % (4186753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186753)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186753)Termination reason: Instruction limit
% 15.43/3.17 % (4186753)Termination phase: Saturation
% 15.43/3.17 % (4186753)Time elapsed: 0.584 s
% 15.43/3.17 % (4186753)Peak memory usage: 106 MB
% 15.43/3.17 % (4186753)Instructions burned: 907 (million)
% 15.43/3.17 % (4187023)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1728843122:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 15.43/3.17 % (4187038)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3156740592:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 15.43/3.17 % (4187023)Refutation not found, incomplete strategy
% 15.43/3.17 % (4187023)------------------------------
% 15.43/3.17 % (4187023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4187023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4187023)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4187023)Termination reason: Refutation not found, incomplete strategy
% 15.43/3.17 % (4187023)Time elapsed: 0.275 s
% 15.43/3.17 % (4187023)Peak memory usage: 105 MB
% 15.43/3.17 % (4187023)Instructions burned: 500 (million)
% 15.43/3.17 % (4186434)First to succeed.
% 15.43/3.17 % (4186434)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4186173"
% 15.43/3.17 % (4186625)Instruction limit reached!
% 15.43/3.17 % (4186625)------------------------------
% 15.43/3.17 % (4186625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.43/3.17 % (4186625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/3.17 % (4186625)CaDiCaL version: 2.1.3
% 15.43/3.17 % (4186625)Termination reason: Instruction limit
% 15.43/3.17 % (4186625)Termination phase: Saturation
% 15.43/3.17 % (4186625)Time elapsed: 1.479 s
% 15.43/3.17 % (4186625)Peak memory usage: 220 MB
% 15.43/3.17 % (4186625)Instructions burned: 2352 (million)
% 15.43/3.17 % (4187023)------------------------------
% 15.43/3.17 % (4187023)------------------------------
% 15.43/3.17 % (4186434)Refutation found. Thanks to Tanya!
% 15.43/3.17 % SZS status Theorem for theBenchmark
% 15.43/3.17 % SZS output start Proof for theBenchmark
% See solution above
% 15.89/3.36 % (4186434)------------------------------
% 15.89/3.36 % (4186434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.89/3.36 % (4186434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/3.36 % (4186434)CaDiCaL version: 2.1.3
% 15.89/3.36 % (4186434)Termination reason: Refutation
% 15.89/3.36 % (4186434)Time elapsed: 1.704 s
% 15.89/3.36 % (4186434)Peak memory usage: 160 MB
% 15.89/3.36 % (4186434)Instructions burned: 2727 (million)
% 15.89/3.36 % (4186434)------------------------------
% 15.89/3.36 % (4186434)------------------------------
% 15.89/3.36 % (4186173)Success in time 2.316 s
% 15.89/3.36 % Vampire exiting
%------------------------------------------------------------------------------