%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP619+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 10:15:00 AM UTC 2026
% Result : Theorem 10.73s 4.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 124 ( 21 unt; 3 def)
% Number of atoms : 637 ( 32 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 848 ( 335 ~; 376 |; 101 &)
% ( 18 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 3 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 185 ( 0 sgn 178 !; 7 ?)
% 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(f330,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f1100,axiom,
! [X0,X1] : k3_partfun1(k1_xboole_0,X0,X1) = k1_xboole_0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t160_funct_2) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(f2220,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f2766,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f3801,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(f3810,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X2,X1)
<=> ( v2_funct_1(X2)
& v3_group_6(X2,X0,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f3812,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_autgroup) ).
fof(f3813,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(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(negated_conjecture,[status(cth)],[f3812]) ).
fof(f3818,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) ) ) ) ) ) ),
inference(rectify,[],[f3810]) ).
fof(f3905,plain,
? [X0] :
( ~ r1_tarski(k1_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,[],[f3813]) ).
fof(f3906,plain,
? [X0] :
( ~ r1_tarski(k1_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,[],[f3905]) ).
fof(f3976,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f4012,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f1876]) ).
fof(f4016,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ) )
| ~ m1_fraenkel(X1,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,[],[f3818]) ).
fof(f4017,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ) )
| ~ m1_fraenkel(X1,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,[],[f4016]) ).
fof(f4018,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,[],[f3801]) ).
fof(f4019,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,[],[f4018]) ).
fof(f4326,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f330]) ).
fof(f4710,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(f4711,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,[],[f4710]) ).
fof(f4898,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(f4899,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,[],[f4898]) ).
fof(f5492,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2766]) ).
fof(f5504,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2481]) ).
fof(f5505,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f5504]) ).
fof(f6390,definition,
! [X0,X1] :
( sP2(X0,X1)
<=> ! [X3] :
( ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f6391,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) ) )
| ~ m1_fraenkel(X1,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(definition_folding,[],[f4017,f6390]) ).
fof(f6464,plain,
( ~ r1_tarski(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
& ~ v3_struct_0(sK49)
& v1_group_1(sK49)
& v3_group_1(sK49)
& v4_group_1(sK49)
& l1_group_1(sK49) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X0,sK49)],[f3906]) ).
fof(f6481,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,[],[f3976]) ).
fof(f6482,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,[],[f6481]) ).
fof(f6483,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK58(X0,X1),X1)
& r2_hidden(sK58(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X2,sK58(X0,X1))],[f6482]) ).
fof(f6506,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) )
& ( ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,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(nnf_transformation,[],[f6391]) ).
fof(f6507,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) )
& ( ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,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,[],[f6506]) ).
fof(f6508,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) )
& ( ( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,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(rectify,[],[f6507]) ).
fof(f6509,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ( ( ~ v1_funct_1(sK75(X0,X1))
| ~ v1_funct_2(sK75(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK75(X0,X1),X0,X0)
| ~ m2_relset_1(sK75(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK75(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) )
& ( ( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,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(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(X2,sK75(X0,X1))],[f6508]) ).
fof(f6841,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,[],[f4899]) ).
fof(f7297,plain,
l1_group_1(sK49),
inference(cnf_transformation,[],[f6464]) ).
fof(f7298,plain,
v4_group_1(sK49),
inference(cnf_transformation,[],[f6464]) ).
fof(f7299,plain,
v3_group_1(sK49),
inference(cnf_transformation,[],[f6464]) ).
fof(f7300,plain,
v1_group_1(sK49),
inference(cnf_transformation,[],[f6464]) ).
fof(f7301,plain,
~ v3_struct_0(sK49),
inference(cnf_transformation,[],[f6464]) ).
fof(f7302,plain,
~ r1_tarski(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),
inference(cnf_transformation,[],[f6464]) ).
fof(f7404,plain,
! [X0,X1] :
( r2_hidden(sK58(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6483]) ).
fof(f7405,plain,
! [X0,X1] :
( ~ r2_hidden(sK58(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6483]) ).
fof(f7460,plain,
! [X0,X1] :
( k1_funct_2(X0,X1) = k1_fraenkel(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f4012]) ).
fof(f7475,plain,
! [X3,X0,X1] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,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,[],[f6509]) ).
fof(f7477,plain,
! [X3,X0,X1] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,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,[],[f6509]) ).
fof(f7478,plain,
! [X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,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,[],[f6509]) ).
fof(f7481,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,[],[f4019]) ).
fof(f7910,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f4326]) ).
fof(f8362,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f2220]) ).
fof(f8404,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k5_partfun1(X0,X1,k3_partfun1(k1_xboole_0,X0,X1)),
inference(cnf_transformation,[],[f1389]) ).
fof(f8411,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,[],[f4711]) ).
fof(f8642,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,[],[f6841]) ).
fof(f9340,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f5492]) ).
fof(f9350,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f5505]) ).
fof(f10104,plain,
! [X0,X1] : k1_xboole_0 = k3_partfun1(k1_xboole_0,X0,X1),
inference(cnf_transformation,[],[f1100]) ).
fof(f10584,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k5_partfun1(X0,X1,k3_partfun1(np__0,X0,X1)),
inference(definition_unfolding,[],[f8404,f8362]) ).
fof(f10617,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k5_partfun1(X0,X1,k3_partfun1(np__0,X0,X1))
| v1_xboole_0(X1) ),
inference(definition_unfolding,[],[f7460,f10584]) ).
fof(f10802,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,[],[f8411,f10584]) ).
fof(f11085,plain,
! [X0,X1] : np__0 = k3_partfun1(np__0,X0,X1),
inference(definition_unfolding,[],[f10104,f8362,f8362]) ).
fof(f11223,plain,
! [X3,X0] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(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(equality_resolution,[],[f7478]) ).
fof(f11224,plain,
! [X3,X0] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(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(equality_resolution,[],[f7477]) ).
fof(f11226,plain,
! [X3,X0] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(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(equality_resolution,[],[f7475]) ).
fof(f11760,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,[],[f10802,f11085]) ).
fof(f11868,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| m2_relset_1(X3,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(forward_subsumption_resolution,[],[f11226,f7481]) ).
fof(f11870,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_2(X3,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(forward_subsumption_resolution,[],[f11224,f7481]) ).
fof(f11871,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_1(X3)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f11223,f7481]) ).
fof(f11874,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| k1_fraenkel(X0,X1) = k5_partfun1(X0,X1,np__0) ),
inference(forward_demodulation,[],[f10617,f11085]) ).
fof(f11996,plain,
l1_struct_0(sK49),
inference(resolution,[],[f9340,f7297]) ).
fof(f12016,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_funct_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f8642,f11871]) ).
fof(f12017,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f8642,f11870]) ).
fof(f12018,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f8642,f11868]) ).
fof(f12021,plain,
! [X0,X1] :
( m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f12018,f7481]) ).
fof(f12022,plain,
! [X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X0,k1_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f12017,f7481]) ).
fof(f12023,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f12016,f7481]) ).
fof(f12164,plain,
! [X0,X1] :
( m1_subset_1(sK58(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f7910,f7404]) ).
fof(f12174,plain,
! [X0,X1] :
( v1_funct_1(sK58(k1_autgroup(X0),X1))
| v1_xboole_0(u1_struct_0(X0))
| r1_tarski(k1_autgroup(X0),X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f12164,f12023]) ).
fof(f12279,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,[],[f11874,f9350]) ).
fof(f12426,plain,
! [X0] :
( v3_struct_0(sK49)
| k1_fraenkel(X0,u1_struct_0(sK49)) = k5_partfun1(X0,u1_struct_0(sK49),np__0) ),
inference(resolution,[],[f12279,f11996]) ).
fof(f12427,plain,
! [X0] : k1_fraenkel(X0,u1_struct_0(sK49)) = k5_partfun1(X0,u1_struct_0(sK49),np__0),
inference(forward_subsumption_resolution,[],[f12426,f7301]) ).
fof(f12428,plain,
! [X0] :
( r2_hidden(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK49),u1_struct_0(sK49))
| ~ m2_relset_1(X0,u1_struct_0(sK49),u1_struct_0(sK49)) ),
inference(superposition,[],[f11760,f12427]) ).
fof(f12429,plain,
! [X0] :
( ~ v1_funct_2(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),u1_struct_0(sK49),u1_struct_0(sK49))
| ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| ~ m2_relset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),u1_struct_0(sK49),u1_struct_0(sK49))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))) ),
inference(resolution,[],[f12428,f7405]) ).
fof(f12445,plain,
! [X0] :
( ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| ~ m2_relset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),u1_struct_0(sK49),u1_struct_0(sK49))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v1_xboole_0(u1_struct_0(sK49))
| ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49))
| v3_struct_0(sK49)
| ~ v1_group_1(sK49)
| ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49) ),
inference(resolution,[],[f12429,f12022]) ).
fof(f12446,plain,
! [X0] :
( ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v1_xboole_0(u1_struct_0(sK49))
| ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49))
| v3_struct_0(sK49)
| ~ v1_group_1(sK49)
| ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49) ),
inference(forward_subsumption_resolution,[],[f12445,f12021]) ).
fof(f12447,plain,
! [X0] :
( ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v1_xboole_0(u1_struct_0(sK49))
| ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49))
| ~ v1_group_1(sK49)
| ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49) ),
inference(forward_subsumption_resolution,[],[f12446,f7301]) ).
fof(f12448,plain,
! [X0] :
( ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v1_xboole_0(u1_struct_0(sK49))
| ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49))
| ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49) ),
inference(forward_subsumption_resolution,[],[f12447,f7300]) ).
fof(f12449,plain,
! [X0] :
( ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v1_xboole_0(u1_struct_0(sK49))
| ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49))
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49) ),
inference(forward_subsumption_resolution,[],[f12448,f7299]) ).
fof(f12450,plain,
! [X0] :
( ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v1_xboole_0(u1_struct_0(sK49))
| ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49))
| ~ l1_group_1(sK49) ),
inference(forward_subsumption_resolution,[],[f12449,f7298]) ).
fof(f12451,plain,
! [X0] :
( ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v1_xboole_0(u1_struct_0(sK49))
| ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49)) ),
inference(forward_subsumption_resolution,[],[f12450,f7297]) ).
fof(f12453,definition,
( spl534_18
<=> v1_xboole_0(u1_struct_0(sK49)) ),
introduced(definition,[new_symbols(definition,[spl534_18])],[avatar_definition]) ).
fof(f12454,plain,
( ~ v1_xboole_0(u1_struct_0(sK49))
| spl534_18 ),
inference(avatar_component_clause,[],[f12453]) ).
fof(f12455,plain,
( v1_xboole_0(u1_struct_0(sK49))
| ~ spl534_18 ),
inference(avatar_component_clause,[],[f12453]) ).
fof(f12457,definition,
( spl534_19
<=> ! [X0] :
( ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))) ) ),
introduced(definition,[new_symbols(definition,[spl534_19])],[avatar_definition]) ).
fof(f12458,plain,
( ! [X0] :
( ~ m1_subset_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))),k1_autgroup(sK49))
| ~ v1_funct_1(sK58(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(X0,k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))) )
| ~ spl534_19 ),
inference(avatar_component_clause,[],[f12457]) ).
fof(f12459,plain,
( spl534_18
| spl534_19 ),
inference(avatar_split_clause,[],[f12451,f12457,f12453]) ).
fof(f12460,plain,
( v3_struct_0(sK49)
| ~ l1_struct_0(sK49)
| ~ spl534_18 ),
inference(resolution,[],[f12455,f9350]) ).
fof(f12461,plain,
( ~ l1_struct_0(sK49)
| ~ spl534_18 ),
inference(forward_subsumption_resolution,[],[f12460,f7301]) ).
fof(f12462,plain,
( $false
| ~ spl534_18 ),
inference(forward_subsumption_resolution,[],[f12461,f11996]) ).
fof(f12463,plain,
~ spl534_18,
inference(avatar_contradiction_clause,[],[f12462]) ).
fof(f12464,plain,
( ~ v1_funct_1(sK58(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| r1_tarski(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| ~ spl534_19 ),
inference(resolution,[],[f12458,f12164]) ).
fof(f12465,plain,
( ~ v1_funct_1(sK58(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| r1_tarski(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| ~ spl534_19 ),
inference(duplicate_literal_removal,[],[f12464]) ).
fof(f12466,plain,
( ~ v1_funct_1(sK58(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49))))
| ~ spl534_19 ),
inference(forward_subsumption_resolution,[],[f12465,f7302]) ).
fof(f12467,plain,
( v1_xboole_0(u1_struct_0(sK49))
| r1_tarski(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v3_struct_0(sK49)
| ~ v1_group_1(sK49)
| ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49)
| ~ spl534_19 ),
inference(resolution,[],[f12466,f12174]) ).
fof(f12468,plain,
( r1_tarski(k1_autgroup(sK49),k1_fraenkel(u1_struct_0(sK49),u1_struct_0(sK49)))
| v3_struct_0(sK49)
| ~ v1_group_1(sK49)
| ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49)
| spl534_18
| ~ spl534_19 ),
inference(forward_subsumption_resolution,[],[f12467,f12454]) ).
fof(f12469,plain,
( v3_struct_0(sK49)
| ~ v1_group_1(sK49)
| ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49)
| spl534_18
| ~ spl534_19 ),
inference(forward_subsumption_resolution,[],[f12468,f7302]) ).
fof(f12470,plain,
( ~ v1_group_1(sK49)
| ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49)
| spl534_18
| ~ spl534_19 ),
inference(forward_subsumption_resolution,[],[f12469,f7301]) ).
fof(f12471,plain,
( ~ v3_group_1(sK49)
| ~ v4_group_1(sK49)
| ~ l1_group_1(sK49)
| spl534_18
| ~ spl534_19 ),
inference(forward_subsumption_resolution,[],[f12470,f7300]) ).
fof(f12472,plain,
( ~ v4_group_1(sK49)
| ~ l1_group_1(sK49)
| spl534_18
| ~ spl534_19 ),
inference(forward_subsumption_resolution,[],[f12471,f7299]) ).
fof(f12473,plain,
( ~ l1_group_1(sK49)
| spl534_18
| ~ spl534_19 ),
inference(forward_subsumption_resolution,[],[f12472,f7298]) ).
fof(f12474,plain,
( $false
| spl534_18
| ~ spl534_19 ),
inference(forward_subsumption_resolution,[],[f12473,f7297]) ).
fof(f12475,plain,
( spl534_18
| ~ spl534_19 ),
inference(avatar_contradiction_clause,[],[f12474]) ).
cnf(s11,plain,
( spl534_18
| spl534_19 ),
inference(sat_conversion,[],[f12459]) ).
cnf(s12,plain,
~ spl534_18,
inference(sat_conversion,[],[f12463]) ).
cnf(s13,plain,
( spl534_18
| ~ spl534_19 ),
inference(sat_conversion,[],[f12475]) ).
cnf(s14,plain,
~ spl534_19,
inference(rat,[],[s13,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s11,s14,s12]) ).
fof(f12476,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP619+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:07:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 15.57/3.15 % (1183900)Detected formulas, will run a generic FOF schedule.
% 15.57/3.15 % (1184010)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=207215981:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 15.57/3.15 % (1184008)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=1516309705:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 15.57/3.15 % (1184006)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=1589990231:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 15.57/3.15 % (1184012)dis-21_1_sil=8000:lcm=predicate:random_seed=1470300225: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)
% 15.57/3.15 % (1184007)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=2466010327:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 15.57/3.15 % (1184010)Instruction limit reached!
% 15.57/3.15 % (1184010)------------------------------
% 15.57/3.15 % (1184010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.57/3.15 % (1184010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/3.15 % (1184010)CaDiCaL version: 2.1.3
% 15.57/3.15 % (1184010)Termination reason: Instruction limit
% 15.57/3.15 % (1184010)Termination phase: Saturation
% 15.57/3.15 % (1184010)Time elapsed: 0.043 s
% 15.57/3.15 % (1184010)Peak memory usage: 94 MB
% 15.57/3.15 % (1184010)Instructions burned: 121 (million)
% 15.57/3.15 % (1184009)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1160834130:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 15.57/3.15 % (1184009)Refutation not found, incomplete strategy
% 15.57/3.15 % (1184009)------------------------------
% 15.57/3.15 % (1184009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.57/3.15 % (1184009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/3.15 % (1184009)CaDiCaL version: 2.1.3
% 15.57/3.15 % (1184009)Termination reason: Refutation not found, incomplete strategy
% 15.57/3.15 % (1184009)Time elapsed: 0.019 s
% 15.57/3.15 % (1184009)Peak memory usage: 93 MB
% 15.57/3.15 % (1184009)Instructions burned: 23 (million)
% 15.57/3.15 % (1184011)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1916677244:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 15.57/3.15 % (1184018)lrs+10_1_sil=8000:sp=occurrence:random_seed=229659597:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 15.57/3.15 % (1184012)Instruction limit reached!
% 15.57/3.15 % (1184012)------------------------------
% 15.57/3.15 % (1184012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.57/3.15 % (1184012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/3.15 % (1184012)CaDiCaL version: 2.1.3
% 15.57/3.15 % (1184012)Termination reason: Instruction limit
% 15.57/3.15 % (1184012)Termination phase: Clausification
% 15.57/3.15 % (1184012)Time elapsed: 0.089 s
% 15.57/3.15 % (1184012)Peak memory usage: 94 MB
% 15.57/3.15 % (1184012)Instructions burned: 129 (million)
% 15.57/3.15 % (1184011)Instruction limit reached!
% 15.57/3.15 % (1184011)------------------------------
% 15.57/3.15 % (1184011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.57/3.15 % (1184011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/3.15 % (1184011)CaDiCaL version: 2.1.3
% 15.57/3.15 % (1184011)Termination reason: Instruction limit
% 15.57/3.15 % (1184011)Termination phase: Preprocessing 3
% 15.57/3.15 % (1184011)Time elapsed: 0.109 s
% 15.57/3.15 % (1184011)Peak memory usage: 94 MB
% 15.57/3.15 % (1184011)Instructions burned: 139 (million)
% 15.57/3.15 % (1184018)Instruction limit reached!
% 15.57/3.15 % (1184018)------------------------------
% 15.57/3.15 % (1184018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.57/3.15 % (1184018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.57/3.15 % (1184018)CaDiCaL version: 2.1.3
% 15.57/3.15 % (1184018)Termination reason: Instruction limit
% 15.57/3.15 % (1184018)Termination phase: Saturation
% 15.57/3.15 % (1184018)Time elapsed: 0.099 s
% 15.57/3.15 % (1184018)Peak memory usage: 97 MB
% 15.57/3.15 % (1184018)Instructions burned: 286 (million)
% 10.73/4.31 % (1184034)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3199975826:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.73/4.31 % (1184009)------------------------------
% 10.73/4.31 % (1184009)------------------------------
% 10.73/4.31 % (1184037)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=3503698593:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.73/4.31 % (1184034)Instruction limit reached!
% 10.73/4.31 % (1184034)------------------------------
% 10.73/4.31 % (1184034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184034)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184034)Termination reason: Instruction limit
% 10.73/4.31 % (1184034)Termination phase: Saturation
% 10.73/4.31 % (1184034)Time elapsed: 0.077 s
% 10.73/4.31 % (1184034)Peak memory usage: 93 MB
% 10.73/4.31 % (1184034)Instructions burned: 159 (million)
% 10.73/4.31 % (1184036)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3752066336:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.73/4.31 % (1184036)Refutation not found, incomplete strategy
% 10.73/4.31 % (1184036)------------------------------
% 10.73/4.31 % (1184036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184036)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184036)Termination reason: Refutation not found, incomplete strategy
% 10.73/4.31 % (1184036)Time elapsed: 0.020 s
% 10.73/4.31 % (1184036)Peak memory usage: 93 MB
% 10.73/4.31 % (1184036)Instructions burned: 22 (million)
% 10.73/4.31 % (1184037)Instruction limit reached!
% 10.73/4.31 % (1184037)------------------------------
% 10.73/4.31 % (1184037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184037)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184037)Termination reason: Instruction limit
% 10.73/4.31 % (1184037)Termination phase: Property scanning
% 10.73/4.31 % (1184037)Time elapsed: 0.079 s
% 10.73/4.31 % (1184037)Peak memory usage: 97 MB
% 10.73/4.31 % (1184037)Instructions burned: 249 (million)
% 10.73/4.31 % (1184039)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=185064246:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.73/4.31 % (1184041)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1268081992:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.73/4.31 % (1184043)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1673660605:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 10.73/4.31 % (1184043)Instruction limit reached!
% 10.73/4.31 % (1184043)------------------------------
% 10.73/4.31 % (1184043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184043)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184043)Termination reason: Instruction limit
% 10.73/4.31 % (1184043)Termination phase: Saturation
% 10.73/4.31 % (1184043)Time elapsed: 0.034 s
% 10.73/4.31 % (1184043)Peak memory usage: 94 MB
% 10.73/4.31 % (1184043)Instructions burned: 114 (million)
% 10.73/4.31 % (1184039)Refutation not found, incomplete strategy
% 10.73/4.31 % (1184039)------------------------------
% 10.73/4.31 % (1184039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184039)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184039)Termination reason: Refutation not found, incomplete strategy
% 10.73/4.31 % (1184039)Time elapsed: 0.092 s
% 10.73/4.31 % (1184039)Peak memory usage: 96 MB
% 10.73/4.31 % (1184039)Instructions burned: 152 (million)
% 10.73/4.31 % (1184047)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=657210454:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.73/4.31 % (1184036)------------------------------
% 10.73/4.31 % (1184036)------------------------------
% 10.73/4.31 % (1184047)Instruction limit reached!
% 10.73/4.31 % (1184047)------------------------------
% 10.73/4.31 % (1184047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184047)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184047)Termination reason: Instruction limit
% 10.73/4.31 % (1184047)Termination phase: Clausification
% 10.73/4.31 % (1184047)Time elapsed: 0.048 s
% 10.73/4.31 % (1184047)Peak memory usage: 96 MB
% 10.73/4.31 % (1184047)Instructions burned: 128 (million)
% 10.73/4.31 % (1184050)lrs+10_1_sil=8000:sp=occurrence:random_seed=425033955:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.73/4.31 % (1184039)------------------------------
% 10.73/4.31 % (1184039)------------------------------
% 10.73/4.31 % (1184049)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3180674210:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.73/4.31 % (1184049)Instruction limit reached!
% 10.73/4.31 % (1184049)------------------------------
% 10.73/4.31 % (1184049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184049)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184049)Termination reason: Instruction limit
% 10.73/4.31 % (1184049)Termination phase: Preprocessing 2
% 10.73/4.31 % (1184049)Time elapsed: 0.059 s
% 10.73/4.31 % (1184049)Peak memory usage: 90 MB
% 10.73/4.31 % (1184049)Instructions burned: 115 (million)
% 10.73/4.31 % (1184052)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2730525648:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.73/4.31 % (1184052)Refutation not found, incomplete strategy
% 10.73/4.31 % (1184052)------------------------------
% 10.73/4.31 % (1184052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184052)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184052)Termination reason: Refutation not found, incomplete strategy
% 10.73/4.31 % (1184052)Time elapsed: 0.035 s
% 10.73/4.31 % (1184052)Peak memory usage: 93 MB
% 10.73/4.31 % (1184052)Instructions burned: 35 (million)
% 10.73/4.31 % (1184054)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2512236400:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.73/4.31 % (1184050)Instruction limit reached!
% 10.73/4.31 % (1184050)------------------------------
% 10.73/4.31 % (1184050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184050)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184050)Termination reason: Instruction limit
% 10.73/4.31 % (1184050)Termination phase: Saturation
% 10.73/4.31 % (1184050)Time elapsed: 0.394 s
% 10.73/4.31 % (1184050)Peak memory usage: 108 MB
% 10.73/4.31 % (1184050)Instructions burned: 907 (million)
% 10.73/4.31 % (1184077)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2263232209:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 10.73/4.31 % (1184052)------------------------------
% 10.73/4.31 % (1184052)------------------------------
% 10.73/4.31 % (1184077)Instruction limit reached!
% 10.73/4.31 % (1184077)------------------------------
% 10.73/4.31 % (1184077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184077)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184077)Termination reason: Instruction limit
% 10.73/4.31 % (1184077)Termination phase: Saturation
% 10.73/4.31 % (1184077)Time elapsed: 0.076 s
% 10.73/4.31 % (1184077)Peak memory usage: 96 MB
% 10.73/4.31 % (1184077)Instructions burned: 134 (million)
% 10.73/4.31 % (1184084)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3369005611:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 10.73/4.31 % (1184083)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=449952716:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 10.73/4.31 % (1184083)Refutation not found, incomplete strategy
% 10.73/4.31 % (1184083)------------------------------
% 10.73/4.31 % (1184083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184083)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184083)Termination reason: Refutation not found, incomplete strategy
% 10.73/4.31 % (1184083)Time elapsed: 0.459 s
% 10.73/4.31 % (1184083)Peak memory usage: 105 MB
% 10.73/4.31 % (1184083)Instructions burned: 495 (million)
% 10.73/4.31 % (1184083)------------------------------
% 10.73/4.31 % (1184083)------------------------------
% 10.73/4.31 % (1184041)Instruction limit reached!
% 10.73/4.31 % (1184041)------------------------------
% 10.73/4.31 % (1184041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184041)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184041)Termination reason: Instruction limit
% 10.73/4.31 % (1184041)Termination phase: Saturation
% 10.73/4.31 % (1184041)Time elapsed: 2.017 s
% 10.73/4.31 % (1184041)Peak memory usage: 207 MB
% 10.73/4.31 % (1184041)Instructions burned: 2350 (million)
% 10.73/4.31 % (1184099)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=3072271871:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 10.73/4.31 % (1184100)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1684216102:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 10.73/4.31 % (1184099)Instruction limit reached!
% 10.73/4.31 % (1184099)------------------------------
% 10.73/4.31 % (1184099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184099)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184099)Termination reason: Instruction limit
% 10.73/4.31 % (1184099)Termination phase: Property scanning
% 10.73/4.31 % (1184099)Time elapsed: 0.126 s
% 10.73/4.31 % (1184099)Peak memory usage: 92 MB
% 10.73/4.31 % (1184099)Instructions burned: 125 (million)
% 10.73/4.31 % (1184100)Instruction limit reached!
% 10.73/4.31 % (1184100)------------------------------
% 10.73/4.31 % (1184100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184100)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184100)Termination reason: Instruction limit
% 10.73/4.31 % (1184100)Termination phase: Preprocessing 1
% 10.73/4.31 % (1184100)Time elapsed: 0.112 s
% 10.73/4.31 % (1184100)Peak memory usage: 90 MB
% 10.73/4.31 % (1184100)Instructions burned: 134 (million)
% 10.73/4.31 % (1184084)First to succeed.
% 10.73/4.31 % (1184084)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1183900"
% 10.73/4.31 % (1184007)Also succeeded, but the first one will report.
% 10.73/4.31 % (1184108)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3426798138:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 10.73/4.31 % (1184108)Refutation not found, incomplete strategy
% 10.73/4.31 % (1184108)------------------------------
% 10.73/4.31 % (1184108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/4.31 % (1184108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/4.31 % (1184108)CaDiCaL version: 2.1.3
% 10.73/4.31 % (1184108)Termination reason: Refutation not found, incomplete strategy
% 10.73/4.31 % (1184108)Time elapsed: 0.019 s
% 10.73/4.31 % (1184108)Peak memory usage: 93 MB
% 10.73/4.31 % (1184108)Instructions burned: 23 (million)
% 10.73/4.31 % (1184110)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2353640389:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 10.73/4.31 % (1184084)Refutation found. Thanks to Tanya!
% 10.73/4.31 % SZS status Theorem for theBenchmark
% 10.73/4.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/4.61 % (1184084)------------------------------
% 0.14/4.61 % (1184084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/4.61 % (1184084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/4.61 % (1184084)CaDiCaL version: 2.1.3
% 0.14/4.61 % (1184084)Termination reason: Refutation
% 0.14/4.61 % (1184084)Time elapsed: 1.382 s
% 0.14/4.61 % (1184084)Peak memory usage: 178 MB
% 0.14/4.61 % (1184084)Instructions burned: 2570 (million)
% 0.14/4.61 % (1184084)------------------------------
% 0.14/4.61 % (1184084)------------------------------
% 0.14/4.61 % (1183900)Success in time 3.453 s
% 0.14/4.61 % Vampire exiting
%------------------------------------------------------------------------------