%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP623+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 : n007.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 31.58s 7.11s
% Output : Refutation 32.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 149 ( 24 unt; 5 def)
% Number of atoms : 500 ( 5 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 584 ( 233 ~; 257 |; 58 &)
% ( 16 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 6 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 168 ( 0 sgn 164 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,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(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f3367,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f3371,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(f18256,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f18620,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_rlvect_1) ).
fof(f18989,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f18993,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f21861,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_rlvect_1(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_group_2) ).
fof(f21874,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_group_2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_group_2) ).
fof(f33385,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f33388,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(f33410,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f33411,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_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_autgroup) ).
fof(f33412,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_autgroup(X0)) ),
inference(negated_conjecture,[status(cth)],[f33411]) ).
fof(f33497,plain,
! [X0] :
( m1_fraenkel(k1_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,[],[f33385]) ).
fof(f33498,plain,
! [X0] :
( m1_fraenkel(k1_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,[],[f33497]) ).
fof(f33503,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,[],[f33388]) ).
fof(f33504,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,[],[f33503]) ).
fof(f33545,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33410]) ).
fof(f33546,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33545]) ).
fof(f33547,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f33412]) ).
fof(f33548,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_autgroup(X0))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f33547]) ).
fof(f33551,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,[],[f3371]) ).
fof(f33552,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,[],[f33551]) ).
fof(f33557,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f3367]) ).
fof(f33582,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21874]) ).
fof(f33583,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33582]) ).
fof(f33602,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21861]) ).
fof(f33603,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33602]) ).
fof(f33654,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f33655,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f33656,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f33765,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f34022,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18993]) ).
fof(f34023,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f34022]) ).
fof(f36618,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18989]) ).
fof(f36621,plain,
! [X0] :
( ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18620]) ).
fof(f37926,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18256]) ).
fof(f39519,plain,
( ~ r1_tarski(k4_autgroup(sK44),k1_autgroup(sK44))
& ~ v3_struct_0(sK44)
& v1_group_1(sK44)
& v3_group_1(sK44)
& v4_group_1(sK44)
& l1_group_1(sK44) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X0,sK44)],[f33548]) ).
fof(f39520,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,[],[f33552]) ).
fof(f39539,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f33655]) ).
fof(f39589,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,[],[f33765]) ).
fof(f39590,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,[],[f39589]) ).
fof(f39591,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK103(X0,X1),X1)
& r2_hidden(sK103(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(X2,sK103(X0,X1))],[f39590]) ).
fof(f40385,plain,
! [X0] :
( ! [X1] :
( ( r1_rlvect_1(X0,X1)
| ~ r2_hidden(X1,u1_struct_0(X0)) )
& ( r2_hidden(X1,u1_struct_0(X0))
| ~ r1_rlvect_1(X0,X1) ) )
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f36621]) ).
fof(f41208,plain,
! [X0] :
( m1_fraenkel(k1_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,[],[f33498]) ).
fof(f41217,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,[],[f33504]) ).
fof(f41286,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33546]) ).
fof(f41287,plain,
l1_group_1(sK44),
inference(cnf_transformation,[],[f39519]) ).
fof(f41288,plain,
v4_group_1(sK44),
inference(cnf_transformation,[],[f39519]) ).
fof(f41289,plain,
v3_group_1(sK44),
inference(cnf_transformation,[],[f39519]) ).
fof(f41290,plain,
v1_group_1(sK44),
inference(cnf_transformation,[],[f39519]) ).
fof(f41291,plain,
~ v3_struct_0(sK44),
inference(cnf_transformation,[],[f39519]) ).
fof(f41292,plain,
~ r1_tarski(k4_autgroup(sK44),k1_autgroup(sK44)),
inference(cnf_transformation,[],[f39519]) ).
fof(f41295,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,[],[f39520]) ).
fof(f41296,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,[],[f39520]) ).
fof(f41303,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f33557]) ).
fof(f41336,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33583]) ).
fof(f41382,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| r1_rlvect_1(X0,X2)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33603]) ).
fof(f41417,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f33654]) ).
fof(f41420,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f39539]) ).
fof(f41422,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f33656]) ).
fof(f41624,plain,
! [X0,X1] :
( r2_hidden(sK103(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f39591]) ).
fof(f41625,plain,
! [X0,X1] :
( ~ r2_hidden(sK103(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f39591]) ).
fof(f42026,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f34023]) ).
fof(f45374,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36618]) ).
fof(f45376,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ r1_rlvect_1(X0,X1)
| r2_hidden(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f40385]) ).
fof(f47177,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f37926]) ).
fof(f52160,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f47177,f45374]) ).
fof(f52161,plain,
u1_struct_0(sK44) = k2_pre_topc(sK44),
inference(resolution,[],[f52160,f41287]) ).
fof(f52165,plain,
( m1_fraenkel(k4_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| v3_struct_0(sK44)
| ~ v1_group_1(sK44)
| ~ v3_group_1(sK44)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(superposition,[],[f41217,f52161]) ).
fof(f52166,plain,
( m1_fraenkel(k1_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| v3_struct_0(sK44)
| ~ v1_group_1(sK44)
| ~ v3_group_1(sK44)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(superposition,[],[f41208,f52161]) ).
fof(f52182,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k4_autgroup(sK44))
| v3_struct_0(sK44)
| ~ v1_group_1(sK44)
| ~ v3_group_1(sK44)
| m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k1_autgroup(sK44))
| ~ l1_group_1(sK44) ),
inference(resolution,[],[f41286,f41288]) ).
fof(f52183,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k4_autgroup(sK44))
| ~ v1_group_1(sK44)
| ~ v3_group_1(sK44)
| m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k1_autgroup(sK44))
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52182,f41291]) ).
fof(f52184,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k4_autgroup(sK44))
| ~ v3_group_1(sK44)
| m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k1_autgroup(sK44))
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52183,f41290]) ).
fof(f52185,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k4_autgroup(sK44))
| m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k1_autgroup(sK44))
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52184,f41289]) ).
fof(f52186,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k4_autgroup(sK44))
| m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k1_autgroup(sK44)) ),
inference(forward_subsumption_resolution,[],[f52185,f41287]) ).
fof(f52187,plain,
! [X0] :
( ~ m2_fraenkel(X0,k2_pre_topc(sK44),k2_pre_topc(sK44),k4_autgroup(sK44))
| m2_fraenkel(X0,u1_struct_0(sK44),u1_struct_0(sK44),k1_autgroup(sK44)) ),
inference(forward_demodulation,[],[f52186,f52161]) ).
fof(f52188,plain,
! [X0] :
( ~ m2_fraenkel(X0,k2_pre_topc(sK44),k2_pre_topc(sK44),k4_autgroup(sK44))
| m2_fraenkel(X0,k2_pre_topc(sK44),k2_pre_topc(sK44),k1_autgroup(sK44)) ),
inference(forward_demodulation,[],[f52187,f52161]) ).
fof(f52223,plain,
( v3_struct_0(sK44)
| m1_subset_1(k2_group_1(sK44),u1_struct_0(sK44)) ),
inference(resolution,[],[f42026,f41287]) ).
fof(f52224,plain,
m1_subset_1(k2_group_1(sK44),u1_struct_0(sK44)),
inference(forward_subsumption_resolution,[],[f52223,f41291]) ).
fof(f52225,plain,
m1_subset_1(k2_group_1(sK44),k2_pre_topc(sK44)),
inference(forward_demodulation,[],[f52224,f52161]) ).
fof(f52229,definition,
( spl1167_50
<=> v1_xboole_0(k2_pre_topc(sK44)) ),
introduced(definition,[new_symbols(definition,[spl1167_50])],[avatar_definition]) ).
fof(f52230,plain,
( v1_xboole_0(k2_pre_topc(sK44))
| ~ spl1167_50 ),
inference(avatar_component_clause,[],[f52229]) ).
fof(f52245,plain,
( m1_fraenkel(k1_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| ~ v1_group_1(sK44)
| ~ v3_group_1(sK44)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52166,f41291]) ).
fof(f52246,plain,
( m1_fraenkel(k4_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| ~ v1_group_1(sK44)
| ~ v3_group_1(sK44)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52165,f41291]) ).
fof(f52250,plain,
( m1_fraenkel(k1_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| ~ v3_group_1(sK44)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52245,f41290]) ).
fof(f52251,plain,
( m1_fraenkel(k4_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| ~ v3_group_1(sK44)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52246,f41290]) ).
fof(f52255,plain,
( m1_fraenkel(k1_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52250,f41289]) ).
fof(f52256,plain,
( m1_fraenkel(k4_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52251,f41289]) ).
fof(f52260,plain,
( m1_fraenkel(k1_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52255,f41288]) ).
fof(f52261,plain,
( m1_fraenkel(k4_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44))
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f52256,f41288]) ).
fof(f52265,plain,
m1_fraenkel(k1_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44)),
inference(forward_subsumption_resolution,[],[f52260,f41287]) ).
fof(f52266,plain,
m1_fraenkel(k4_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44)),
inference(forward_subsumption_resolution,[],[f52261,f41287]) ).
fof(f52401,plain,
! [X0,X1] :
( m1_subset_1(sK103(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f41417,f41624]) ).
fof(f52405,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X2,X3)
| m2_fraenkel(sK103(X0,X1),X2,X3,X0)
| v1_xboole_0(X3)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f52401,f41296]) ).
fof(f52410,plain,
! [X0] :
( m2_fraenkel(sK103(k4_autgroup(sK44),X0),k2_pre_topc(sK44),k2_pre_topc(sK44),k4_autgroup(sK44))
| v1_xboole_0(k2_pre_topc(sK44))
| r1_tarski(k4_autgroup(sK44),X0) ),
inference(resolution,[],[f52405,f52266]) ).
fof(f52592,plain,
( ! [X0] : ~ r2_hidden(X0,k2_pre_topc(sK44))
| ~ spl1167_50 ),
inference(resolution,[],[f41422,f52230]) ).
fof(f53785,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK44)
| v3_struct_0(sK44)
| r1_rlvect_1(sK44,X0)
| ~ l1_group_1(sK44) ),
inference(resolution,[],[f41382,f41289]) ).
fof(f53788,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK44)
| r1_rlvect_1(sK44,X0)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f53785,f41291]) ).
fof(f53790,plain,
! [X0,X1] :
( ~ m1_group_2(X1,sK44)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| r1_rlvect_1(sK44,X0) ),
inference(forward_subsumption_resolution,[],[f53788,f41287]) ).
fof(f53791,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK44))
| r1_rlvect_1(sK44,X0)
| v3_struct_0(sK44)
| ~ v3_group_1(sK44)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(resolution,[],[f53790,f41336]) ).
fof(f53793,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK44))
| r1_rlvect_1(sK44,X0)
| ~ v3_group_1(sK44)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f53791,f41291]) ).
fof(f53794,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK44))
| r1_rlvect_1(sK44,X0)
| ~ v4_group_1(sK44)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f53793,f41289]) ).
fof(f53795,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK44))
| r1_rlvect_1(sK44,X0)
| ~ l1_group_1(sK44) ),
inference(forward_subsumption_resolution,[],[f53794,f41288]) ).
fof(f53796,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK44))
| r1_rlvect_1(sK44,X0) ),
inference(forward_subsumption_resolution,[],[f53795,f41287]) ).
fof(f53797,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK44))
| r1_rlvect_1(sK44,X0) ),
inference(forward_demodulation,[],[f53796,f52161]) ).
fof(f53798,plain,
r1_rlvect_1(sK44,k2_group_1(sK44)),
inference(resolution,[],[f53797,f52225]) ).
fof(f54073,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| r2_hidden(X1,u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f45376,f45374]) ).
fof(f54074,plain,
( r2_hidden(k2_group_1(sK44),u1_struct_0(sK44))
| ~ l1_group_1(sK44) ),
inference(resolution,[],[f54073,f53798]) ).
fof(f54077,plain,
r2_hidden(k2_group_1(sK44),u1_struct_0(sK44)),
inference(forward_subsumption_resolution,[],[f54074,f41287]) ).
fof(f54079,plain,
r2_hidden(k2_group_1(sK44),k2_pre_topc(sK44)),
inference(forward_demodulation,[],[f54077,f52161]) ).
fof(f54082,plain,
( $false
| ~ spl1167_50 ),
inference(forward_subsumption_resolution,[],[f54079,f52592]) ).
fof(f54083,plain,
~ spl1167_50,
inference(avatar_contradiction_clause,[],[f54082]) ).
fof(f54093,definition,
( spl1167_138
<=> ! [X0] :
( m2_fraenkel(sK103(k4_autgroup(sK44),X0),k2_pre_topc(sK44),k2_pre_topc(sK44),k4_autgroup(sK44))
| r1_tarski(k4_autgroup(sK44),X0) ) ),
introduced(definition,[new_symbols(definition,[spl1167_138])],[avatar_definition]) ).
fof(f54094,plain,
( ! [X0] :
( m2_fraenkel(sK103(k4_autgroup(sK44),X0),k2_pre_topc(sK44),k2_pre_topc(sK44),k4_autgroup(sK44))
| r1_tarski(k4_autgroup(sK44),X0) )
| ~ spl1167_138 ),
inference(avatar_component_clause,[],[f54093]) ).
fof(f54095,plain,
( spl1167_50
| spl1167_138 ),
inference(avatar_split_clause,[],[f52410,f54093,f52229]) ).
fof(f54169,plain,
( ! [X0] :
( m2_fraenkel(sK103(k4_autgroup(sK44),X0),k2_pre_topc(sK44),k2_pre_topc(sK44),k1_autgroup(sK44))
| r1_tarski(k4_autgroup(sK44),X0) )
| ~ spl1167_138 ),
inference(resolution,[],[f54094,f52188]) ).
fof(f54210,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK44),X0)
| m1_subset_1(sK103(k4_autgroup(sK44),X0),k1_autgroup(sK44))
| v1_xboole_0(k2_pre_topc(sK44))
| ~ m1_fraenkel(k1_autgroup(sK44),k2_pre_topc(sK44),k2_pre_topc(sK44)) )
| ~ spl1167_138 ),
inference(resolution,[],[f54169,f41295]) ).
fof(f54212,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK44),X0)
| m1_subset_1(sK103(k4_autgroup(sK44),X0),k1_autgroup(sK44))
| v1_xboole_0(k2_pre_topc(sK44)) )
| ~ spl1167_138 ),
inference(forward_subsumption_resolution,[],[f54210,f52265]) ).
fof(f54214,definition,
( spl1167_157
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK44),X0)
| m1_subset_1(sK103(k4_autgroup(sK44),X0),k1_autgroup(sK44)) ) ),
introduced(definition,[new_symbols(definition,[spl1167_157])],[avatar_definition]) ).
fof(f54215,plain,
( ! [X0] :
( m1_subset_1(sK103(k4_autgroup(sK44),X0),k1_autgroup(sK44))
| r1_tarski(k4_autgroup(sK44),X0) )
| ~ spl1167_157 ),
inference(avatar_component_clause,[],[f54214]) ).
fof(f54216,plain,
( spl1167_50
| spl1167_157
| ~ spl1167_138 ),
inference(avatar_split_clause,[],[f54212,f54093,f54214,f52229]) ).
fof(f54246,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK44),X0)
| r2_hidden(sK103(k4_autgroup(sK44),X0),k1_autgroup(sK44))
| v1_xboole_0(k1_autgroup(sK44)) )
| ~ spl1167_157 ),
inference(resolution,[],[f54215,f41420]) ).
fof(f54249,definition,
( spl1167_160
<=> v1_xboole_0(k1_autgroup(sK44)) ),
introduced(definition,[new_symbols(definition,[spl1167_160])],[avatar_definition]) ).
fof(f54250,plain,
( v1_xboole_0(k1_autgroup(sK44))
| ~ spl1167_160 ),
inference(avatar_component_clause,[],[f54249]) ).
fof(f54252,definition,
( spl1167_161
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK44),X0)
| r2_hidden(sK103(k4_autgroup(sK44),X0),k1_autgroup(sK44)) ) ),
introduced(definition,[new_symbols(definition,[spl1167_161])],[avatar_definition]) ).
fof(f54253,plain,
( ! [X0] :
( r2_hidden(sK103(k4_autgroup(sK44),X0),k1_autgroup(sK44))
| r1_tarski(k4_autgroup(sK44),X0) )
| ~ spl1167_161 ),
inference(avatar_component_clause,[],[f54252]) ).
fof(f54254,plain,
( spl1167_160
| spl1167_161
| ~ spl1167_157 ),
inference(avatar_split_clause,[],[f54246,f54214,f54252,f54249]) ).
fof(f54374,plain,
( $false
| ~ spl1167_160 ),
inference(unit_resulting_resolution,[],[f41303,f52265,f54250]) ).
fof(f54377,plain,
~ spl1167_160,
inference(avatar_contradiction_clause,[],[f54374]) ).
fof(f54378,plain,
( r1_tarski(k4_autgroup(sK44),k1_autgroup(sK44))
| r1_tarski(k4_autgroup(sK44),k1_autgroup(sK44))
| ~ spl1167_161 ),
inference(resolution,[],[f54253,f41625]) ).
fof(f54384,plain,
( r1_tarski(k4_autgroup(sK44),k1_autgroup(sK44))
| ~ spl1167_161 ),
inference(duplicate_literal_removal,[],[f54378]) ).
fof(f54385,plain,
( $false
| ~ spl1167_161 ),
inference(forward_subsumption_resolution,[],[f54384,f41292]) ).
fof(f54386,plain,
~ spl1167_161,
inference(avatar_contradiction_clause,[],[f54385]) ).
cnf(s112,plain,
~ spl1167_50,
inference(sat_conversion,[],[f54083]) ).
cnf(s115,plain,
( spl1167_50
| spl1167_138 ),
inference(sat_conversion,[],[f54095]) ).
cnf(s139,plain,
( spl1167_50
| ~ spl1167_138
| spl1167_157 ),
inference(sat_conversion,[],[f54216]) ).
cnf(s142,plain,
( ~ spl1167_157
| spl1167_160
| spl1167_161 ),
inference(sat_conversion,[],[f54254]) ).
cnf(s147,plain,
~ spl1167_160,
inference(sat_conversion,[],[f54377]) ).
cnf(s148,plain,
~ spl1167_161,
inference(sat_conversion,[],[f54386]) ).
cnf(s150,plain,
~ spl1167_157,
inference(rat,[],[s142,s148,s147]) ).
cnf(s151,plain,
( spl1167_50
| ~ spl1167_138 ),
inference(rat,[],[s139,s150]) ).
cnf(s152,plain,
~ spl1167_138,
inference(rat,[],[s151,s112]) ).
cnf(s168,plain,
$false,
inference(rat,[],[s115,s152,s112]) ).
fof(f54387,plain,
$false,
inference(avatar_sat_refutation,[],[s168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP623+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:08:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.39/4.83 % (1187870)Detected formulas, will run a generic FOF schedule.
% 15.39/4.83 % (1187878)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4253947801:i=109:sd=1:ins=1:gsp=on:ss=axioms_2979 on theBenchmark for (2979ds/109Mi)
% 15.39/4.83 % (1187877)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=3603717326:i=141695:sd=1:nm=32:gsp=on:ss=included_2979 on theBenchmark for (2979ds/141695Mi)
% 15.39/4.83 % (1187876)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=116668783:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2979 on theBenchmark for (2979ds/134677Mi)
% 15.39/4.83 % (1187875)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=1551843476:i=141193_2979 on theBenchmark for (2979ds/141193Mi)
% 15.39/4.83 % (1187881)dis-21_1_sil=8000:lcm=predicate:random_seed=3553599027:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2979 on theBenchmark for (2979ds/129Mi)
% 15.39/4.83 % (1187879)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=282076196:i=119:av=off:ss=axioms_2979 on theBenchmark for (2979ds/119Mi)
% 15.39/4.83 % (1187880)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3542961507:s2a=on:i=139:gtg=position_2979 on theBenchmark for (2979ds/139Mi)
% 15.39/4.83 % (1187878)Instruction limit reached!
% 15.39/4.83 % (1187878)------------------------------
% 15.39/4.83 % (1187878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.83 % (1187878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.83 % (1187878)CaDiCaL version: 2.1.3
% 15.39/4.83 % (1187878)Termination reason: Instruction limit
% 15.39/4.83 % (1187878)Termination phase: SInE selection
% 15.39/4.83 % (1187878)Time elapsed: 0.051 s
% 15.39/4.83 % (1187878)Peak memory usage: 133 MB
% 15.39/4.83 % (1187878)Instructions burned: 113 (million)
% 15.39/4.83 % (1187880)Instruction limit reached!
% 15.39/4.83 % (1187880)------------------------------
% 15.39/4.83 % (1187880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.83 % (1187880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.83 % (1187880)CaDiCaL version: 2.1.3
% 15.39/4.83 % (1187880)Termination reason: Instruction limit
% 15.39/4.83 % (1187880)Termination phase: Property scanning
% 15.39/4.83 % (1187880)Time elapsed: 0.061 s
% 15.39/4.83 % (1187880)Peak memory usage: 133 MB
% 15.39/4.83 % (1187880)Instructions burned: 139 (million)
% 15.39/4.83 % (1187879)Instruction limit reached!
% 15.39/4.83 % (1187879)------------------------------
% 15.39/4.83 % (1187879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.83 % (1187879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.83 % (1187879)CaDiCaL version: 2.1.3
% 15.39/4.83 % (1187879)Termination reason: Instruction limit
% 15.39/4.83 % (1187879)Termination phase: SInE selection
% 15.39/4.83 % (1187879)Time elapsed: 0.085 s
% 15.39/4.83 % (1187879)Peak memory usage: 133 MB
% 15.39/4.83 % (1187879)Instructions burned: 120 (million)
% 15.39/4.83 % (1187881)Instruction limit reached!
% 15.39/4.83 % (1187881)------------------------------
% 15.39/4.83 % (1187881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/4.83 % (1187881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/4.83 % (1187881)CaDiCaL version: 2.1.3
% 15.39/4.83 % (1187881)Termination reason: Instruction limit
% 15.39/4.83 % (1187881)Termination phase: SInE selection
% 15.39/4.83 % (1187881)Time elapsed: 0.088 s
% 15.39/4.83 % (1187881)Peak memory usage: 133 MB
% 15.39/4.83 % (1187881)Instructions burned: 129 (million)
% 15.39/4.83 % (1187889)lrs+10_1_sil=8000:sp=occurrence:random_seed=1928989798:i=285:sd=3:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/285Mi)
% 15.39/4.83 % (1187890)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2043273942:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/157Mi)
% 15.39/4.83 % (1187891)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4227378631:i=325:sd=1:ss=axioms:sgt=32_2976 on theBenchmark for (2976ds/325Mi)
% 15.39/4.83 % (1187892)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=1954450500:s2a=on:i=248:s2at=1.23:gtg=position_2976 on theBenchmark for (2976ds/248Mi)
% 15.39/4.83 % (1187889)Instruction limit reached!
% 22.15/5.87 % (1187889)------------------------------
% 22.15/5.87 % (1187889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/5.87 % (1187889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/5.87 % (1187889)CaDiCaL version: 2.1.3
% 22.15/5.87 % (1187889)Termination reason: Instruction limit
% 22.15/5.87 % (1187889)Termination phase: Property scanning
% 22.15/5.87 % (1187889)Time elapsed: 0.131 s
% 22.15/5.87 % (1187889)Peak memory usage: 138 MB
% 22.15/5.87 % (1187889)Instructions burned: 288 (million)
% 22.15/5.87 % (1187890)Instruction limit reached!
% 22.15/5.87 % (1187890)------------------------------
% 22.15/5.87 % (1187890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/5.87 % (1187890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/5.87 % (1187890)CaDiCaL version: 2.1.3
% 22.15/5.87 % (1187890)Termination reason: Instruction limit
% 22.15/5.87 % (1187890)Termination phase: Property scanning
% 22.15/5.87 % (1187890)Time elapsed: 0.069 s
% 22.15/5.87 % (1187890)Peak memory usage: 133 MB
% 22.15/5.87 % (1187890)Instructions burned: 159 (million)
% 22.15/5.87 % (1187892)Instruction limit reached!
% 22.15/5.87 % (1187892)------------------------------
% 22.15/5.87 % (1187892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/5.87 % (1187892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/5.87 % (1187892)CaDiCaL version: 2.1.3
% 22.15/5.87 % (1187892)Termination reason: Instruction limit
% 22.15/5.87 % (1187892)Termination phase: Property scanning
% 22.15/5.87 % (1187892)Time elapsed: 0.109 s
% 22.15/5.87 % (1187892)Peak memory usage: 133 MB
% 22.15/5.87 % (1187892)Instructions burned: 250 (million)
% 22.15/5.87 % (1187897)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1569876133:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2974 on theBenchmark for (2974ds/294Mi)
% 22.15/5.87 % (1187898)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2085595709:i=2350_2974 on theBenchmark for (2974ds/2350Mi)
% 22.15/5.87 % (1187897)Instruction limit reached!
% 22.15/5.87 % (1187897)------------------------------
% 22.15/5.87 % (1187897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/5.87 % (1187897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/5.87 % (1187897)CaDiCaL version: 2.1.3
% 22.15/5.87 % (1187897)Termination reason: Instruction limit
% 22.15/5.87 % (1187897)Termination phase: SInE selection
% 22.15/5.87 % (1187897)Time elapsed: 0.104 s
% 22.15/5.87 % (1187897)Peak memory usage: 134 MB
% 22.15/5.87 % (1187897)Instructions burned: 295 (million)
% 22.15/5.87 % (1187891)Instruction limit reached!
% 22.15/5.87 % (1187891)------------------------------
% 22.15/5.87 % (1187891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/5.87 % (1187891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/5.87 % (1187891)CaDiCaL version: 2.1.3
% 22.15/5.87 % (1187891)Termination reason: Instruction limit
% 22.15/5.87 % (1187891)Termination phase: Saturation
% 22.15/5.87 % (1187891)Time elapsed: 0.262 s
% 22.15/5.87 % (1187891)Peak memory usage: 140 MB
% 22.15/5.87 % (1187891)Instructions burned: 326 (million)
% 22.15/5.87 % (1187899)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=31129555:cts=off:i=113:fsr=off:ss=included:sgt=4_2973 on theBenchmark for (2973ds/113Mi)
% 22.15/5.87 % (1187899)Instruction limit reached!
% 22.15/5.87 % (1187899)------------------------------
% 22.15/5.87 % (1187899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/5.87 % (1187899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/5.87 % (1187899)CaDiCaL version: 2.1.3
% 22.15/5.87 % (1187899)Termination reason: Instruction limit
% 22.15/5.87 % (1187899)Termination phase: SInE selection
% 22.15/5.87 % (1187899)Time elapsed: 0.086 s
% 22.15/5.87 % (1187899)Peak memory usage: 133 MB
% 22.15/5.87 % (1187899)Instructions burned: 114 (million)
% 22.15/5.87 % (1187902)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2073183373:i=127:av=off:fsr=off:sup=off_2972 on theBenchmark for (2972ds/127Mi)
% 22.15/5.87 % (1187902)Instruction limit reached!
% 22.15/5.87 % (1187902)------------------------------
% 22.15/5.87 % (1187902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.15/5.87 % (1187902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.15/5.87 % (1187902)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187902)Termination reason: Instruction limit
% 31.58/7.11 % (1187902)Termination phase: Preprocessing 1
% 31.58/7.11 % (1187902)Time elapsed: 0.058 s
% 31.58/7.11 % (1187902)Peak memory usage: 136 MB
% 31.58/7.11 % (1187902)Instructions burned: 128 (million)
% 31.58/7.11 % (1187903)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3931549055:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2972 on theBenchmark for (2972ds/114Mi)
% 31.58/7.11 % (1187903)Instruction limit reached!
% 31.58/7.11 % (1187903)------------------------------
% 31.58/7.11 % (1187903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187903)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187903)Termination reason: Instruction limit
% 31.58/7.11 % (1187903)Termination phase: Property scanning
% 31.58/7.11 % (1187903)Time elapsed: 0.054 s
% 31.58/7.11 % (1187903)Peak memory usage: 133 MB
% 31.58/7.11 % (1187903)Instructions burned: 116 (million)
% 31.58/7.11 % (1187905)lrs+10_1_sil=8000:sp=occurrence:random_seed=90477155:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 31.58/7.11 % (1187908)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=513590676:i=437:sd=1:aac=none:ss=included_2970 on theBenchmark for (2970ds/437Mi)
% 31.58/7.11 % (1187909)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3332624513:i=5202:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/5202Mi)
% 31.58/7.11 % (1187908)Instruction limit reached!
% 31.58/7.11 % (1187908)------------------------------
% 31.58/7.11 % (1187908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187908)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187908)Termination reason: Instruction limit
% 31.58/7.11 % (1187908)Termination phase: Saturation
% 31.58/7.11 % (1187908)Time elapsed: 0.175 s
% 31.58/7.11 % (1187908)Peak memory usage: 142 MB
% 31.58/7.11 % (1187908)Instructions burned: 437 (million)
% 31.58/7.11 % (1187913)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1659419349:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2967 on theBenchmark for (2967ds/134Mi)
% 31.58/7.11 % (1187913)Instruction limit reached!
% 31.58/7.11 % (1187913)------------------------------
% 31.58/7.11 % (1187913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187913)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187913)Termination reason: Instruction limit
% 31.58/7.11 % (1187913)Termination phase: SInE selection
% 31.58/7.11 % (1187913)Time elapsed: 0.057 s
% 31.58/7.11 % (1187913)Peak memory usage: 133 MB
% 31.58/7.11 % (1187913)Instructions burned: 136 (million)
% 31.58/7.11 % (1187915)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2005871060:st=8:i=592:sd=3:ep=RST:ss=axioms_2965 on theBenchmark for (2965ds/592Mi)
% 31.58/7.11 % (1187905)Instruction limit reached!
% 31.58/7.11 % (1187905)------------------------------
% 31.58/7.11 % (1187905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187905)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187905)Termination reason: Instruction limit
% 31.58/7.11 % (1187905)Termination phase: Property scanning
% 31.58/7.11 % (1187905)Time elapsed: 0.592 s
% 31.58/7.11 % (1187905)Peak memory usage: 154 MB
% 31.58/7.11 % (1187905)Instructions burned: 909 (million)
% 31.58/7.11 % (1187917)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3082150040:st=3:i=13193:sd=3:ss=axioms_2963 on theBenchmark for (2963ds/13193Mi)
% 31.58/7.11 % (1187915)Instruction limit reached!
% 31.58/7.11 % (1187915)------------------------------
% 31.58/7.11 % (1187915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187915)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187915)Termination reason: Instruction limit
% 31.58/7.11 % (1187915)Termination phase: Preprocessing 2
% 31.58/7.11 % (1187915)Time elapsed: 0.271 s
% 31.58/7.11 % (1187915)Peak memory usage: 148 MB
% 31.58/7.11 % (1187915)Instructions burned: 592 (million)
% 31.58/7.11 % (1187919)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2895062119:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/125Mi)
% 31.58/7.11 % (1187919)Instruction limit reached!
% 31.58/7.11 % (1187919)------------------------------
% 31.58/7.11 % (1187919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187919)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187919)Termination reason: Instruction limit
% 31.58/7.11 % (1187919)Termination phase: Property scanning
% 31.58/7.11 % (1187919)Time elapsed: 0.031 s
% 31.58/7.11 % (1187919)Peak memory usage: 133 MB
% 31.58/7.11 % (1187919)Instructions burned: 126 (million)
% 31.58/7.11 % (1187921)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2773791641:i=134:gtgl=5:slsql=off:gtg=exists_sym_2959 on theBenchmark for (2959ds/134Mi)
% 31.58/7.11 % (1187921)Instruction limit reached!
% 31.58/7.11 % (1187921)------------------------------
% 31.58/7.11 % (1187921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187921)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187921)Termination reason: Instruction limit
% 31.58/7.11 % (1187921)Termination phase: Property scanning
% 31.58/7.11 % (1187921)Time elapsed: 0.035 s
% 31.58/7.11 % (1187921)Peak memory usage: 133 MB
% 31.58/7.11 % (1187921)Instructions burned: 138 (million)
% 31.58/7.11 % (1187898)Instruction limit reached!
% 31.58/7.11 % (1187898)------------------------------
% 31.58/7.11 % (1187898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187898)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187898)Termination reason: Instruction limit
% 31.58/7.11 % (1187898)Termination phase: Property scanning
% 31.58/7.11 % (1187898)Time elapsed: 1.532 s
% 31.58/7.11 % (1187898)Peak memory usage: 227 MB
% 31.58/7.11 % (1187898)Instructions burned: 2351 (million)
% 31.58/7.11 % (1187923)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3133764077:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/141Mi)
% 31.58/7.11 % (1187924)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=496083055:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/431Mi)
% 31.58/7.11 % (1187923)Instruction limit reached!
% 31.58/7.11 % (1187923)------------------------------
% 31.58/7.11 % (1187923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187923)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187923)Termination reason: Instruction limit
% 31.58/7.11 % (1187923)Termination phase: SInE selection
% 31.58/7.11 % (1187923)Time elapsed: 0.075 s
% 31.58/7.11 % (1187923)Peak memory usage: 133 MB
% 31.58/7.11 % (1187923)Instructions burned: 142 (million)
% 31.58/7.11 % (1187927)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1848530409:i=6060:aac=none:ins=25_2955 on theBenchmark for (2955ds/6060Mi)
% 31.58/7.11 % (1187924)Instruction limit reached!
% 31.58/7.11 % (1187924)------------------------------
% 31.58/7.11 % (1187924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187924)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187924)Termination reason: Instruction limit
% 31.58/7.11 % (1187924)Termination phase: Saturation
% 31.58/7.11 % (1187924)Time elapsed: 0.311 s
% 31.58/7.11 % (1187924)Peak memory usage: 141 MB
% 31.58/7.11 % (1187924)Instructions burned: 432 (million)
% 31.58/7.11 % (1187929)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2541150581:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2952 on theBenchmark for (2952ds/150Mi)
% 31.58/7.11 % (1187929)Instruction limit reached!
% 31.58/7.11 % (1187929)------------------------------
% 31.58/7.11 % (1187929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187929)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187929)Termination reason: Instruction limit
% 31.58/7.11 % (1187929)Termination phase: SInE selection
% 31.58/7.11 % (1187929)Time elapsed: 0.113 s
% 31.58/7.11 % (1187929)Peak memory usage: 133 MB
% 31.58/7.11 % (1187929)Instructions burned: 151 (million)
% 31.58/7.11 % (1187931)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4109180612:i=14155:bd=all_2949 on theBenchmark for (2949ds/14155Mi)
% 31.58/7.11 % (1187909)Instruction limit reached!
% 31.58/7.11 % (1187909)------------------------------
% 31.58/7.11 % (1187909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187909)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187909)Termination reason: Instruction limit
% 31.58/7.11 % (1187909)Termination phase: Saturation
% 31.58/7.11 % (1187909)Time elapsed: 2.354 s
% 31.58/7.11 % (1187909)Peak memory usage: 268 MB
% 31.58/7.11 % (1187909)Instructions burned: 5204 (million)
% 31.58/7.11 % (1187933)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2802036941:i=667:av=off:fsr=off_2944 on theBenchmark for (2944ds/667Mi)
% 31.58/7.11 % (1187876)First to succeed.
% 31.58/7.11 % (1187876)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1187870"
% 31.58/7.11 % (1187933)Instruction limit reached!
% 31.58/7.11 % (1187933)------------------------------
% 31.58/7.11 % (1187933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.58/7.11 % (1187933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.58/7.11 % (1187933)CaDiCaL version: 2.1.3
% 31.58/7.11 % (1187933)Termination reason: Instruction limit
% 31.58/7.11 % (1187933)Termination phase: NewCNF
% 31.58/7.11 % (1187933)Time elapsed: 0.327 s
% 31.58/7.11 % (1187933)Peak memory usage: 183 MB
% 31.58/7.11 % (1187933)Instructions burned: 668 (million)
% 31.58/7.11 % (1187935)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=978656843:s2a=on:i=185:s2at=1.8:fdi=4_2939 on theBenchmark for (2939ds/185Mi)
% 31.58/7.11 % (1187876)Refutation found. Thanks to Tanya!
% 31.58/7.11 % SZS status Theorem for theBenchmark
% 31.58/7.11 % SZS output start Proof for theBenchmark
% See solution above
% 32.20/7.26 % (1187876)------------------------------
% 32.20/7.26 % (1187876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.20/7.26 % (1187876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.20/7.26 % (1187876)CaDiCaL version: 2.1.3
% 32.20/7.26 % (1187876)Termination reason: Refutation
% 32.20/7.26 % (1187876)Time elapsed: 3.692 s
% 32.20/7.26 % (1187876)Peak memory usage: 287 MB
% 32.20/7.26 % (1187876)Instructions burned: 5931 (million)
% 32.20/7.26 % (1187876)------------------------------
% 32.20/7.26 % (1187876)------------------------------
% 32.20/7.26 % (1187870)Success in time 6.265 s
% 32.20/7.26 % Vampire exiting
%------------------------------------------------------------------------------