%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP624+3 : 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 10:15:04 AM UTC 2026
% Result : Theorem 17.35s 4.45s
% Output : Refutation 20.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 124 ( 20 unt; 4 def)
% Number of atoms : 599 ( 57 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 818 ( 343 ~; 371 |; 74 &)
% ( 11 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 5 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-6 aty)
% Number of variables : 195 ( 0 sgn 185 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1394,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f2347,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
& m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
& m1_subset_1(X4,X0)
& m1_subset_1(X5,X1) )
=> k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(f2933,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(f2937,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(f6422,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(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f12867,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(f12868,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_funct_1(k2_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_autgroup) ).
fof(f12885,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) )
=> ( X1 = k2_autgroup(X0)
<=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_autgroup) ).
fof(f12892,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(f12894,conjecture,
! [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))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup) ).
fof(f12895,negated_conjecture,
~ ! [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))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f12894]) ).
fof(f12935,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,[],[f12867]) ).
fof(f12936,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,[],[f12935]) ).
fof(f12937,plain,
! [X0] :
( ( v1_funct_1(k2_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_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,[],[f12868]) ).
fof(f12938,plain,
! [X0] :
( ( v1_funct_1(k2_autgroup(X0))
& v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
& m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_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,[],[f12937]) ).
fof(f12969,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_autgroup(X0)
<=> ! [X2] :
( ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_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,[],[f12885]) ).
fof(f12970,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_autgroup(X0)
<=> ! [X2] :
( ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_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,[],[f12969]) ).
fof(f12983,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,[],[f12892]) ).
fof(f12984,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,[],[f12983]) ).
fof(f12987,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) != k1_binop_1(k2_autgroup(X0),X1,X2)
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_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,[],[f12895]) ).
fof(f12988,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) != k1_binop_1(k2_autgroup(X0),X1,X2)
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_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,[],[f12987]) ).
fof(f12990,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,[],[f2937]) ).
fof(f12991,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,[],[f12990]) ).
fof(f12996,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2933]) ).
fof(f13439,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X1) ),
inference(ennf_transformation,[],[f2347]) ).
fof(f13440,plain,
! [X0,X1,X2,X3,X4,X5] :
( k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X1) ),
inference(flattening,[],[f13439]) ).
fof(f14432,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f14441,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f14442,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f14441]) ).
fof(f16139,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_autgroup(X0)
| ? [X2] :
( ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| k2_autgroup(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_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(nnf_transformation,[],[f12970]) ).
fof(f16140,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_autgroup(X0)
| ? [X2] :
( ? [X3] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X2,X3) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X3,X2)
& m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X4,X5) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| k2_autgroup(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_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(rectify,[],[f16139]) ).
fof(f16141,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_autgroup(X0)
| ( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK24(X0,X1),sK25(X0,X1)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK25(X0,X1),sK24(X0,X1))
& m2_fraenkel(sK25(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(sK24(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X4,X5) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| k2_autgroup(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_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(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25]),skolemize(X2,sK24(X0,X1)),skolemize(X3,sK25(X0,X1))],[f16140]) ).
fof(f16146,plain,
( k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),sK33,sK32) != k1_binop_1(k2_autgroup(sK31),sK32,sK33)
& m2_fraenkel(sK33,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
& m2_fraenkel(sK32,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
& ~ v3_struct_0(sK31)
& v1_group_1(sK31)
& v3_group_1(sK31)
& v4_group_1(sK31)
& l1_group_1(sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33]),skolemize(X0,sK31),skolemize(X1,sK32),skolemize(X2,sK33)],[f12988]) ).
fof(f16147,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,[],[f12991]) ).
fof(f16377,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1394]) ).
fof(f17107,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12936]) ).
fof(f17108,plain,
! [X0] :
( m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_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(cnf_transformation,[],[f12938]) ).
fof(f17109,plain,
! [X0] :
( v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_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(cnf_transformation,[],[f12938]) ).
fof(f17110,plain,
! [X0] :
( v1_funct_1(k2_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12938]) ).
fof(f17167,plain,
! [X0,X1,X4,X5] :
( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,X4,X5) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4)
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k2_autgroup(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(k1_autgroup(X0),k1_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(cnf_transformation,[],[f16141]) ).
fof(f17185,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,[],[f12984]) ).
fof(f17187,plain,
l1_group_1(sK31),
inference(cnf_transformation,[],[f16146]) ).
fof(f17188,plain,
v4_group_1(sK31),
inference(cnf_transformation,[],[f16146]) ).
fof(f17189,plain,
v3_group_1(sK31),
inference(cnf_transformation,[],[f16146]) ).
fof(f17190,plain,
v1_group_1(sK31),
inference(cnf_transformation,[],[f16146]) ).
fof(f17191,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f16146]) ).
fof(f17192,plain,
m2_fraenkel(sK32,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31)),
inference(cnf_transformation,[],[f16146]) ).
fof(f17193,plain,
m2_fraenkel(sK33,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31)),
inference(cnf_transformation,[],[f16146]) ).
fof(f17194,plain,
k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),sK33,sK32) != k1_binop_1(k2_autgroup(sK31),sK32,sK33),
inference(cnf_transformation,[],[f16146]) ).
fof(f17196,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| m1_subset_1(X3,X2) ),
inference(cnf_transformation,[],[f16147]) ).
fof(f17204,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f12996]) ).
fof(f17791,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X1) ),
inference(cnf_transformation,[],[f13440]) ).
fof(f18286,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f16377]) ).
fof(f19132,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14432]) ).
fof(f19143,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14442]) ).
fof(f22359,plain,
! [X0,X4,X5] :
( ~ v1_funct_2(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m2_fraenkel(X5,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X5,X4) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X4,X5)
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_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(equality_resolution,[],[f17167]) ).
fof(f23169,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X2,X1)
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_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(resolution,[],[f17109,f22359]) ).
fof(f23170,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X2,X1)
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) ),
inference(duplicate_literal_removal,[],[f23169]) ).
fof(f23174,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| v3_struct_0(sK31)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f17185,f17188]) ).
fof(f23186,plain,
( v3_struct_0(sK31)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m1_fraenkel(k1_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f17107,f17188]) ).
fof(f23193,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23174,f17191]) ).
fof(f23196,plain,
( ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m1_fraenkel(k1_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23186,f17191]) ).
fof(f23198,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| ~ v3_group_1(sK31)
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23193,f17190]) ).
fof(f23201,plain,
( ~ v3_group_1(sK31)
| m1_fraenkel(k1_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23196,f17190]) ).
fof(f23203,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23198,f17189]) ).
fof(f23206,plain,
( m1_fraenkel(k1_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23201,f17189]) ).
fof(f23207,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31)) ),
inference(forward_subsumption_resolution,[],[f23203,f17187]) ).
fof(f23210,plain,
m1_fraenkel(k1_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31)),
inference(forward_subsumption_resolution,[],[f23206,f17187]) ).
fof(f23216,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| m1_subset_1(X0,k1_autgroup(sK31)) ),
inference(resolution,[],[f23210,f17196]) ).
fof(f23220,definition,
( spl618_24
<=> v1_xboole_0(u1_struct_0(sK31)) ),
introduced(definition,[new_symbols(definition,[spl618_24])],[avatar_definition]) ).
fof(f23221,plain,
( v1_xboole_0(u1_struct_0(sK31))
| ~ spl618_24 ),
inference(avatar_component_clause,[],[f23220]) ).
fof(f23231,definition,
( spl618_27
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| m1_subset_1(X0,k1_autgroup(sK31)) ) ),
introduced(definition,[new_symbols(definition,[spl618_27])],[avatar_definition]) ).
fof(f23232,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| m1_subset_1(X0,k1_autgroup(sK31)) )
| ~ spl618_27 ),
inference(avatar_component_clause,[],[f23231]) ).
fof(f23233,plain,
( spl618_24
| spl618_27 ),
inference(avatar_split_clause,[],[f23216,f23231,f23220]) ).
fof(f23238,plain,
( v3_struct_0(sK31)
| ~ l1_struct_0(sK31)
| ~ spl618_24 ),
inference(resolution,[],[f23221,f19143]) ).
fof(f23240,plain,
( ~ l1_struct_0(sK31)
| ~ spl618_24 ),
inference(forward_subsumption_resolution,[],[f23238,f17191]) ).
fof(f23242,plain,
( ~ l1_group_1(sK31)
| ~ spl618_24 ),
inference(resolution,[],[f23240,f19132]) ).
fof(f23244,plain,
( $false
| ~ spl618_24 ),
inference(forward_subsumption_resolution,[],[f23242,f17187]) ).
fof(f23245,plain,
~ spl618_24,
inference(avatar_contradiction_clause,[],[f23244]) ).
fof(f23246,plain,
m2_fraenkel(sK33,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31)),
inference(resolution,[],[f23207,f17193]) ).
fof(f23247,plain,
m2_fraenkel(sK32,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31)),
inference(resolution,[],[f23207,f17192]) ).
fof(f23254,plain,
( m1_subset_1(sK33,k1_autgroup(sK31))
| ~ spl618_27 ),
inference(resolution,[],[f23232,f23246]) ).
fof(f23255,plain,
( m1_subset_1(sK32,k1_autgroup(sK31))
| ~ spl618_27 ),
inference(resolution,[],[f23232,f23247]) ).
fof(f23276,plain,
! [X2,X0,X1] :
( v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X2,X1)
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f23170,f17110]) ).
fof(f23284,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X2,X1) ),
inference(forward_subsumption_resolution,[],[f23276,f17108]) ).
fof(f23325,plain,
! [X0,X1] :
( ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ m2_fraenkel(X1,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X1,X0) ),
inference(resolution,[],[f23284,f17188]) ).
fof(f23326,plain,
! [X0,X1] :
( ~ v3_group_1(sK31)
| v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ m2_fraenkel(X1,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X1,X0) ),
inference(forward_subsumption_resolution,[],[f23325,f17190]) ).
fof(f23327,plain,
! [X0,X1] :
( v3_struct_0(sK31)
| ~ l1_group_1(sK31)
| ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ m2_fraenkel(X1,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X1,X0) ),
inference(forward_subsumption_resolution,[],[f23326,f17189]) ).
fof(f23328,plain,
! [X0,X1] :
( ~ l1_group_1(sK31)
| ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ m2_fraenkel(X1,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X1,X0) ),
inference(forward_subsumption_resolution,[],[f23327,f17191]) ).
fof(f23329,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X1,X0) ),
inference(forward_subsumption_resolution,[],[f23328,f17187]) ).
fof(f23331,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK31),u1_struct_0(sK31),k1_autgroup(sK31))
| k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),X0,sK32) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),sK32,X0) ),
inference(resolution,[],[f23329,f23247]) ).
fof(f23334,plain,
k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),sK33,sK32) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),sK32,sK33),
inference(resolution,[],[f23331,f23246]) ).
fof(f24378,plain,
! [X2,X0,X1] :
( v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| k1_binop_1(k2_autgroup(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X1,X2)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f17791,f17109]) ).
fof(f24379,plain,
! [X2,X0,X1] :
( v1_xboole_0(k1_autgroup(X0))
| ~ v1_funct_1(k2_autgroup(X0))
| k1_binop_1(k2_autgroup(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X1,X2)
| ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(duplicate_literal_removal,[],[f24378]) ).
fof(f24380,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| k1_binop_1(k2_autgroup(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X1,X2)
| v1_xboole_0(k1_autgroup(X0))
| ~ m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(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,[],[f24379,f17110]) ).
fof(f24381,plain,
! [X2,X0,X1] :
( k1_binop_1(k2_autgroup(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X1,X2)
| v1_xboole_0(k1_autgroup(X0))
| ~ m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m2_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0)) ),
inference(resolution,[],[f24380,f18286]) ).
fof(f24382,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| v1_xboole_0(k1_autgroup(X0))
| ~ m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k1_binop_1(k2_autgroup(X0),X1,X2) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X1,X2)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f24381,f17108]) ).
fof(f24383,plain,
! [X0,X1] :
( v1_xboole_0(k1_autgroup(sK31))
| ~ m1_subset_1(X0,k1_autgroup(sK31))
| ~ m1_subset_1(X1,k1_autgroup(sK31))
| v3_struct_0(sK31)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| k1_binop_1(k2_autgroup(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X0,X1)
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f24382,f17188]) ).
fof(f24392,plain,
! [X0,X1] :
( v1_xboole_0(k1_autgroup(sK31))
| ~ m1_subset_1(X0,k1_autgroup(sK31))
| ~ m1_subset_1(X1,k1_autgroup(sK31))
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| k1_binop_1(k2_autgroup(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X0,X1)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f24383,f17191]) ).
fof(f24393,plain,
! [X0,X1] :
( v1_xboole_0(k1_autgroup(sK31))
| ~ m1_subset_1(X0,k1_autgroup(sK31))
| ~ m1_subset_1(X1,k1_autgroup(sK31))
| ~ v3_group_1(sK31)
| k1_binop_1(k2_autgroup(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X0,X1)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f24392,f17190]) ).
fof(f24394,plain,
! [X0,X1] :
( v1_xboole_0(k1_autgroup(sK31))
| ~ m1_subset_1(X0,k1_autgroup(sK31))
| ~ m1_subset_1(X1,k1_autgroup(sK31))
| k1_binop_1(k2_autgroup(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X0,X1)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f24393,f17189]) ).
fof(f24395,plain,
! [X0,X1] :
( v1_xboole_0(k1_autgroup(sK31))
| ~ m1_subset_1(X0,k1_autgroup(sK31))
| ~ m1_subset_1(X1,k1_autgroup(sK31))
| k1_binop_1(k2_autgroup(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X0,X1) ),
inference(forward_subsumption_resolution,[],[f24394,f17187]) ).
fof(f24397,definition,
( spl618_107
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(sK31))
| k1_binop_1(k2_autgroup(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X0,X1)
| ~ m1_subset_1(X1,k1_autgroup(sK31)) ) ),
introduced(definition,[new_symbols(definition,[spl618_107])],[avatar_definition]) ).
fof(f24398,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_autgroup(sK31))
| k1_binop_1(k2_autgroup(sK31),X0,X1) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X0,X1)
| ~ m1_subset_1(X0,k1_autgroup(sK31)) )
| ~ spl618_107 ),
inference(avatar_component_clause,[],[f24397]) ).
fof(f24400,definition,
( spl618_108
<=> v1_xboole_0(k1_autgroup(sK31)) ),
introduced(definition,[new_symbols(definition,[spl618_108])],[avatar_definition]) ).
fof(f24401,plain,
( v1_xboole_0(k1_autgroup(sK31))
| ~ spl618_108 ),
inference(avatar_component_clause,[],[f24400]) ).
fof(f24402,plain,
( spl618_107
| spl618_108 ),
inference(avatar_split_clause,[],[f24395,f24400,f24397]) ).
fof(f24408,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK31))
| k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),X0,sK33) = k1_binop_1(k2_autgroup(sK31),X0,sK33) )
| ~ spl618_27
| ~ spl618_107 ),
inference(resolution,[],[f24398,f23254]) ).
fof(f24419,plain,
( k1_binop_1(k2_autgroup(sK31),sK32,sK33) = k2_binop_1(k1_autgroup(sK31),k1_autgroup(sK31),k1_autgroup(sK31),k2_autgroup(sK31),sK32,sK33)
| ~ spl618_27
| ~ spl618_107 ),
inference(resolution,[],[f24408,f23255]) ).
fof(f24433,plain,
( k7_funct_2(u1_struct_0(sK31),u1_struct_0(sK31),u1_struct_0(sK31),sK33,sK32) = k1_binop_1(k2_autgroup(sK31),sK32,sK33)
| ~ spl618_27
| ~ spl618_107 ),
inference(superposition,[],[f24419,f23334]) ).
fof(f24437,plain,
( $false
| ~ spl618_27
| ~ spl618_107 ),
inference(forward_subsumption_resolution,[],[f24433,f17194]) ).
fof(f24438,plain,
( ~ spl618_27
| ~ spl618_107 ),
inference(avatar_contradiction_clause,[],[f24437]) ).
fof(f24439,plain,
( $false
| ~ spl618_108 ),
inference(unit_resulting_resolution,[],[f17204,f23210,f24401]) ).
fof(f24441,plain,
~ spl618_108,
inference(avatar_contradiction_clause,[],[f24439]) ).
cnf(s21,plain,
( spl618_24
| spl618_27 ),
inference(sat_conversion,[],[f23233]) ).
cnf(s24,plain,
~ spl618_24,
inference(sat_conversion,[],[f23245]) ).
cnf(s101,plain,
( spl618_107
| spl618_108 ),
inference(sat_conversion,[],[f24402]) ).
cnf(s103,plain,
( ~ spl618_27
| ~ spl618_107 ),
inference(sat_conversion,[],[f24438]) ).
cnf(s104,plain,
~ spl618_108,
inference(sat_conversion,[],[f24441]) ).
cnf(s105,plain,
spl618_107,
inference(rat,[],[s101,s104]) ).
cnf(s106,plain,
~ spl618_27,
inference(rat,[],[s103,s105]) ).
cnf(s132,plain,
$false,
inference(rat,[],[s21,s106,s24]) ).
fof(f24442,plain,
$false,
inference(avatar_sat_refutation,[],[s132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP624+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 10:08:26 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 17.35/4.45 % (1191714)Detected formulas, will run a generic FOF schedule.
% 17.35/4.45 % (1191724)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=1422250557:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 17.35/4.45 % (1191726)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4179848423:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 17.35/4.45 % (1191723)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=1486174244:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 17.35/4.45 % (1191725)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=3917274667:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 17.35/4.45 % (1191727)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4280482119:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 17.35/4.45 % (1191729)dis-21_1_sil=8000:lcm=predicate:random_seed=3220252514:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 17.35/4.45 % (1191728)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1464007709:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 17.35/4.45 % (1191726)Refutation not found, incomplete strategy
% 17.35/4.45 % (1191726)------------------------------
% 17.35/4.45 % (1191726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191726)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191726)Termination reason: Refutation not found, incomplete strategy
% 17.35/4.45 % (1191726)Time elapsed: 0.088 s
% 17.35/4.45 % (1191726)Peak memory usage: 106 MB
% 17.35/4.45 % (1191726)Instructions burned: 81 (million)
% 17.35/4.45 % (1191728)Instruction limit reached!
% 17.35/4.45 % (1191728)------------------------------
% 17.35/4.45 % (1191728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191728)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191728)Termination reason: Instruction limit
% 17.35/4.45 % (1191728)Termination phase: Property scanning
% 17.35/4.45 % (1191728)Time elapsed: 0.110 s
% 17.35/4.45 % (1191728)Peak memory usage: 101 MB
% 17.35/4.45 % (1191728)Instructions burned: 140 (million)
% 17.35/4.45 % (1191729)Instruction limit reached!
% 17.35/4.45 % (1191729)------------------------------
% 17.35/4.45 % (1191729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191729)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191729)Termination reason: Instruction limit
% 17.35/4.45 % (1191729)Termination phase: Preprocessing 1
% 17.35/4.45 % (1191729)Time elapsed: 0.147 s
% 17.35/4.45 % (1191729)Peak memory usage: 102 MB
% 17.35/4.45 % (1191729)Instructions burned: 129 (million)
% 17.35/4.45 % (1191727)Instruction limit reached!
% 17.35/4.45 % (1191727)------------------------------
% 17.35/4.45 % (1191727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191727)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191727)Termination reason: Instruction limit
% 17.35/4.45 % (1191727)Termination phase: Preprocessing 3
% 17.35/4.45 % (1191727)Time elapsed: 0.149 s
% 17.35/4.45 % (1191727)Peak memory usage: 104 MB
% 17.35/4.45 % (1191727)Instructions burned: 119 (million)
% 17.35/4.45 % (1191738)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4247214630:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 17.35/4.45 % (1191737)lrs+10_1_sil=8000:sp=occurrence:random_seed=675915990:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 17.35/4.45 % (1191726)------------------------------
% 17.35/4.45 % (1191726)------------------------------
% 17.35/4.45 % (1191738)Instruction limit reached!
% 17.35/4.45 % (1191738)------------------------------
% 17.35/4.45 % (1191738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191738)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191738)Termination reason: Instruction limit
% 17.35/4.45 % (1191738)Termination phase: Property scanning
% 17.35/4.45 % (1191738)Time elapsed: 0.070 s
% 17.35/4.45 % (1191738)Peak memory usage: 101 MB
% 17.35/4.45 % (1191738)Instructions burned: 158 (million)
% 17.35/4.45 % (1191739)lrs+1011_1_sil=32000:sp=occurrence:random_seed=867439786:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 17.35/4.45 % (1191739)Refutation not found, incomplete strategy
% 17.35/4.45 % (1191739)------------------------------
% 17.35/4.45 % (1191739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191739)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191739)Termination reason: Refutation not found, incomplete strategy
% 17.35/4.45 % (1191739)Time elapsed: 0.099 s
% 17.35/4.45 % (1191739)Peak memory usage: 106 MB
% 17.35/4.45 % (1191739)Instructions burned: 78 (million)
% 17.35/4.45 % (1191743)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2505989953:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 17.35/4.45 % (1191737)Instruction limit reached!
% 17.35/4.45 % (1191737)------------------------------
% 17.35/4.45 % (1191737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191737)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191737)Termination reason: Instruction limit
% 17.35/4.45 % (1191737)Termination phase: Saturation
% 17.35/4.45 % (1191737)Time elapsed: 0.319 s
% 17.35/4.45 % (1191737)Peak memory usage: 109 MB
% 17.35/4.45 % (1191737)Instructions burned: 286 (million)
% 17.35/4.45 % (1191742)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=528822632:s2a=on:i=248:s2at=1.23:gtg=position_2985 on theBenchmark for (2985ds/248Mi)
% 17.35/4.45 % (1191743)Instruction limit reached!
% 17.35/4.45 % (1191743)------------------------------
% 17.35/4.45 % (1191743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191743)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191743)Termination reason: Instruction limit
% 17.35/4.45 % (1191743)Termination phase: Property scanning
% 17.35/4.45 % (1191743)Time elapsed: 0.171 s
% 17.35/4.45 % (1191743)Peak memory usage: 108 MB
% 17.35/4.45 % (1191743)Instructions burned: 296 (million)
% 17.35/4.45 % (1191742)Instruction limit reached!
% 17.35/4.45 % (1191742)------------------------------
% 17.35/4.45 % (1191742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191742)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191742)Termination reason: Instruction limit
% 17.35/4.45 % (1191742)Termination phase: SInE selection
% 17.35/4.45 % (1191742)Time elapsed: 0.194 s
% 17.35/4.45 % (1191742)Peak memory usage: 102 MB
% 17.35/4.45 % (1191742)Instructions burned: 248 (million)
% 17.35/4.45 % (1191739)------------------------------
% 17.35/4.45 % (1191739)------------------------------
% 17.35/4.45 % (1191747)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=785331369:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 17.35/4.45 % (1191750)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1137335353:i=127:av=off:fsr=off:sup=off_2981 on theBenchmark for (2981ds/127Mi)
% 17.35/4.45 % (1191748)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1976402846:cts=off:i=113:fsr=off:ss=included:sgt=4_2981 on theBenchmark for (2981ds/113Mi)
% 17.35/4.45 % (1191750)Instruction limit reached!
% 17.35/4.45 % (1191750)------------------------------
% 17.35/4.45 % (1191750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191750)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191750)Termination reason: Instruction limit
% 17.35/4.45 % (1191750)Termination phase: Preprocessing 2
% 17.35/4.45 % (1191750)Time elapsed: 0.086 s
% 17.35/4.45 % (1191750)Peak memory usage: 106 MB
% 17.35/4.45 % (1191750)Instructions burned: 127 (million)
% 17.35/4.45 % (1191748)Instruction limit reached!
% 17.35/4.45 % (1191748)------------------------------
% 17.35/4.45 % (1191748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191748)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191748)Termination reason: Instruction limit
% 17.35/4.45 % (1191748)Termination phase: Preprocessing 3
% 17.35/4.45 % (1191748)Time elapsed: 0.134 s
% 17.35/4.45 % (1191748)Peak memory usage: 105 MB
% 17.35/4.45 % (1191748)Instructions burned: 114 (million)
% 17.35/4.45 % (1191752)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4225705653:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 17.35/4.45 % (1191752)Instruction limit reached!
% 17.35/4.45 % (1191752)------------------------------
% 17.35/4.45 % (1191752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191752)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191752)Termination reason: Instruction limit
% 17.35/4.45 % (1191752)Termination phase: Property scanning
% 17.35/4.45 % (1191752)Time elapsed: 0.092 s
% 17.35/4.45 % (1191752)Peak memory usage: 101 MB
% 17.35/4.45 % (1191752)Instructions burned: 115 (million)
% 17.35/4.45 % (1191756)lrs+10_1_sil=8000:sp=occurrence:random_seed=3134353616:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2978 on theBenchmark for (2978ds/907Mi)
% 17.35/4.45 % (1191757)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4252386441:i=437:sd=1:aac=none:ss=included_2978 on theBenchmark for (2978ds/437Mi)
% 17.35/4.45 % (1191759)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1295938558:i=5202:ss=axioms:sgt=16_2976 on theBenchmark for (2976ds/5202Mi)
% 17.35/4.45 % (1191757)Instruction limit reached!
% 17.35/4.45 % (1191757)------------------------------
% 17.35/4.45 % (1191757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191757)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191757)Termination reason: Instruction limit
% 17.35/4.45 % (1191757)Termination phase: Saturation
% 17.35/4.45 % (1191757)Time elapsed: 0.443 s
% 17.35/4.45 % (1191757)Peak memory usage: 109 MB
% 17.35/4.45 % (1191757)Instructions burned: 437 (million)
% 17.35/4.45 % (1191756)Instruction limit reached!
% 17.35/4.45 % (1191756)------------------------------
% 17.35/4.45 % (1191756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191756)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191756)Termination reason: Instruction limit
% 17.35/4.45 % (1191756)Termination phase: Saturation
% 17.35/4.45 % (1191756)Time elapsed: 0.767 s
% 17.35/4.45 % (1191756)Peak memory usage: 120 MB
% 17.35/4.45 % (1191756)Instructions burned: 908 (million)
% 17.35/4.45 % (1191763)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=212298134:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2970 on theBenchmark for (2970ds/134Mi)
% 17.35/4.45 % (1191724)First to succeed.
% 17.35/4.45 % (1191724)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1191714"
% 17.35/4.45 % (1191763)Instruction limit reached!
% 17.35/4.45 % (1191763)------------------------------
% 17.35/4.45 % (1191763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/4.45 % (1191763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/4.45 % (1191763)CaDiCaL version: 2.1.3
% 17.35/4.45 % (1191763)Termination reason: Instruction limit
% 17.35/4.45 % (1191763)Termination phase: Property scanning
% 17.35/4.45 % (1191763)Time elapsed: 0.151 s
% 17.35/4.45 % (1191763)Peak memory usage: 105 MB
% 17.35/4.45 % (1191763)Instructions burned: 134 (million)
% 17.35/4.45 % (1191764)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4147415019:st=8:i=592:sd=3:ep=RST:ss=axioms_2969 on theBenchmark for (2969ds/592Mi)
% 17.35/4.45 % (1191724)Refutation found. Thanks to Tanya!
% 17.35/4.45 % SZS status Theorem for theBenchmark
% 17.35/4.45 % SZS output start Proof for theBenchmark
% See solution above
% 20.85/4.66 % (1191724)------------------------------
% 20.85/4.66 % (1191724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.85/4.66 % (1191724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.85/4.66 % (1191724)CaDiCaL version: 2.1.3
% 20.85/4.66 % (1191724)Termination reason: Refutation
% 20.85/4.66 % (1191724)Time elapsed: 2.270 s
% 20.85/4.66 % (1191724)Peak memory usage: 207 MB
% 20.85/4.66 % (1191724)Instructions burned: 3323 (million)
% 20.85/4.66 % (1191724)------------------------------
% 20.85/4.66 % (1191724)------------------------------
% 20.85/4.66 % (1191714)Success in time 3.476 s
% 20.85/4.66 % Vampire exiting
%------------------------------------------------------------------------------