%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP624+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 10:18:16 AM UTC 2026
% Result : Theorem 13.31s 4.14s
% Output : Refutation 13.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 138 ( 18 unt; 4 def)
% Number of atoms : 665 ( 57 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 903 ( 376 ~; 423 |; 74 &)
% ( 11 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 183 ( 0 sgn 173 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [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/sandbox2/benchmark/theBenchmark.p',t15_autgroup) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [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)],[f1]) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',d2_autgroup) ).
fof(f18,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/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f24,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/sandbox2/benchmark/theBenchmark.p',dt_k2_autgroup) ).
fof(f32,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f34,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f50,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f67,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/sandbox2/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(f69,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f70,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f72,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/sandbox2/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f88,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( 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)
& 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,[],[f2]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( 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)
& 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,[],[f88]) ).
fof(f108,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,[],[f15]) ).
fof(f109,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,[],[f108]) ).
fof(f112,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,[],[f18]) ).
fof(f113,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,[],[f112]) ).
fof(f114,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,[],[f24]) ).
fof(f115,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,[],[f114]) ).
fof(f124,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f136,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f137,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f136]) ).
fof(f142,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,[],[f67]) ).
fof(f143,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,[],[f142]) ).
fof(f146,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,[],[f69]) ).
fof(f147,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,[],[f146]) ).
fof(f148,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,[],[f72]) ).
fof(f149,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,[],[f148]) ).
fof(f160,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)
& m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
& ~ v3_struct_0(sK0)
& v1_group_1(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f89]) ).
fof(f161,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,[],[f109]) ).
fof(f162,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,[],[f161]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_autgroup(X0)
| ( k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),X1,sK3(X0,X1),sK4(X0,X1)) != k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),sK4(X0,X1),sK3(X0,X1))
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(sK3(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,[sK3,sK4]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1))],[f162]) ).
fof(f185,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,[],[f147]) ).
fof(f186,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,[],[f70]) ).
fof(f187,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f160]) ).
fof(f188,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f160]) ).
fof(f189,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f160]) ).
fof(f190,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f160]) ).
fof(f191,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f160]) ).
fof(f192,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f160]) ).
fof(f193,plain,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f160]) ).
fof(f194,plain,
k1_binop_1(k2_autgroup(sK0),sK1,sK2) != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1),
inference(cnf_transformation,[],[f160]) ).
fof(f215,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,[],[f163]) ).
fof(f222,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,[],[f113]) ).
fof(f223,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,[],[f115]) ).
fof(f224,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,[],[f115]) ).
fof(f225,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,[],[f115]) ).
fof(f232,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f253,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f292,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X3,k2_zfmisc_1(X0,X1),X2)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X1),X2)
| k2_binop_1(X0,X1,X2,X3,X4,X5) = k1_binop_1(X3,X4,X5)
| ~ m1_subset_1(X4,X0)
| ~ m1_subset_1(X5,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f294,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,[],[f185]) ).
fof(f295,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,[],[f185]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f299,plain,
! [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))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f309,plain,
! [X0,X4,X5] :
( 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_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))
| ~ 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(equality_resolution,[],[f215]) ).
fof(f388,definition,
( spl26_2
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f389,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl26_2 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f390,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f469,plain,
! [X0] :
( ~ v1_xboole_0(k1_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f222,f234]) ).
fof(f509,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl26_2 ),
inference(resolution,[],[f390,f253]) ).
fof(f515,plain,
( ~ l1_struct_0(sK0)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f509,f191]) ).
fof(f523,plain,
( ~ l1_group_1(sK0)
| ~ spl26_2 ),
inference(resolution,[],[f515,f232]) ).
fof(f524,plain,
( $false
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f523,f187]) ).
fof(f525,plain,
~ spl26_2,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f534,plain,
! [X0] :
( m1_relset_1(k2_autgroup(X0),k2_zfmisc_1(k1_autgroup(X0),k1_autgroup(X0)),k1_autgroup(X0))
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f223,f296]) ).
fof(f576,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f299,f192]) ).
fof(f577,plain,
( m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f299,f193]) ).
fof(f582,plain,
( m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f577,f191]) ).
fof(f583,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f576,f191]) ).
fof(f584,plain,
( m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f582,f190]) ).
fof(f585,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f583,f190]) ).
fof(f586,plain,
( m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f584,f189]) ).
fof(f587,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f585,f189]) ).
fof(f588,plain,
( m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f586,f188]) ).
fof(f589,plain,
( m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f587,f188]) ).
fof(f590,plain,
m2_fraenkel(sK2,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)),
inference(forward_subsumption_resolution,[],[f588,f187]) ).
fof(f591,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k1_autgroup(sK0)),
inference(forward_subsumption_resolution,[],[f589,f187]) ).
fof(f663,plain,
! [X0,X4,X5] :
( 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_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_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(forward_subsumption_resolution,[],[f309,f225]) ).
fof(f664,plain,
! [X0,X4,X5] :
( 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_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))
| ~ 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(forward_subsumption_resolution,[],[f663,f224]) ).
fof(f665,plain,
! [X0,X4,X5] :
( ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X5,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),X5,X4) = k2_binop_1(k1_autgroup(X0),k1_autgroup(X0),k1_autgroup(X0),k2_autgroup(X0),X4,X5)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f664,f223]) ).
fof(f669,plain,
! [X2,X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X0,X2) = k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(resolution,[],[f665,f295]) ).
fof(f672,plain,
! [X2,X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X0,X2) = k2_binop_1(k1_autgroup(X1),k1_autgroup(X1),k1_autgroup(X1),k2_autgroup(X1),X2,X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f669,f222]) ).
fof(f677,plain,
( m1_subset_1(sK2,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolution,[],[f590,f294]) ).
fof(f679,plain,
( m1_subset_1(sK2,k1_autgroup(sK0))
| ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f677,f389]) ).
fof(f682,definition,
( spl26_13
<=> m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl26_13])],[avatar_definition]) ).
fof(f684,plain,
( ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_13 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f686,definition,
( spl26_14
<=> m1_subset_1(sK2,k1_autgroup(sK0)) ),
introduced(definition,[new_symbols(definition,[spl26_14])],[avatar_definition]) ).
fof(f688,plain,
( m1_subset_1(sK2,k1_autgroup(sK0))
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f689,plain,
( ~ spl26_13
| spl26_14
| spl26_2 ),
inference(avatar_split_clause,[],[f679,f388,f686,f682]) ).
fof(f697,plain,
( m1_subset_1(sK1,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolution,[],[f591,f294]) ).
fof(f699,plain,
( m1_subset_1(sK1,k1_autgroup(sK0))
| ~ m1_fraenkel(k1_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f697,f389]) ).
fof(f702,definition,
( spl26_15
<=> m1_subset_1(sK1,k1_autgroup(sK0)) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
fof(f704,plain,
( m1_subset_1(sK1,k1_autgroup(sK0))
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f705,plain,
( ~ spl26_13
| spl26_15
| spl26_2 ),
inference(avatar_split_clause,[],[f699,f388,f702,f682]) ).
fof(f711,plain,
( v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl26_13 ),
inference(resolution,[],[f684,f222]) ).
fof(f712,plain,
( ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl26_13 ),
inference(forward_subsumption_resolution,[],[f711,f191]) ).
fof(f713,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl26_13 ),
inference(forward_subsumption_resolution,[],[f712,f190]) ).
fof(f714,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl26_13 ),
inference(forward_subsumption_resolution,[],[f713,f189]) ).
fof(f715,plain,
( ~ l1_group_1(sK0)
| spl26_13 ),
inference(forward_subsumption_resolution,[],[f714,f188]) ).
fof(f716,plain,
( $false
| spl26_13 ),
inference(forward_subsumption_resolution,[],[f715,f187]) ).
fof(f717,plain,
spl26_13,
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f968,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_autgroup(X0))
| v1_xboole_0(k1_autgroup(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))
| 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_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(X0)) ),
inference(resolution,[],[f534,f292]) ).
fof(f972,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_autgroup(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))
| 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_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(X0)) ),
inference(duplicate_literal_removal,[],[f968]) ).
fof(f975,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(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))
| 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_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f972,f469]) ).
fof(f983,plain,
! [X2,X0,X1] :
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_funct_2(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)
| ~ m1_subset_1(X1,k1_autgroup(X0))
| ~ m1_subset_1(X2,k1_autgroup(X0)) ),
inference(forward_subsumption_resolution,[],[f975,f225]) ).
fof(f989,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_autgroup(X0))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(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_subset_1(X1,k1_autgroup(X0))
| ~ v1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f983,f224]) ).
fof(f1493,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2)
| v3_struct_0(sK0)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f672,f590]) ).
fof(f1507,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2)
| ~ v1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1493,f191]) ).
fof(f1509,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1507,f190]) ).
fof(f1511,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1509,f189]) ).
fof(f1513,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2)
| ~ l1_group_1(sK0)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1511,f188]) ).
fof(f1515,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1513,f187]) ).
fof(f1517,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,X0) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) )
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f1515,f389]) ).
fof(f1599,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2)
| spl26_2
| ~ spl26_15 ),
inference(resolution,[],[f1517,f704]) ).
fof(f2718,plain,
( ! [X0] :
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ v1_group_1(sK0) )
| ~ spl26_14 ),
inference(resolution,[],[f989,f688]) ).
fof(f2723,plain,
( ! [X0] :
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ v1_group_1(sK0) )
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f2718,f189]) ).
fof(f2725,plain,
( ! [X0] :
( ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ v1_group_1(sK0) )
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f2723,f188]) ).
fof(f2727,plain,
( ! [X0] :
( v3_struct_0(sK0)
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ v1_group_1(sK0) )
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f2725,f187]) ).
fof(f2729,plain,
( ! [X0] :
( k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2)
| ~ m1_subset_1(X0,k1_autgroup(sK0))
| ~ v1_group_1(sK0) )
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f2727,f191]) ).
fof(f2731,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK0))
| k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),X0,sK2) = k1_binop_1(k2_autgroup(sK0),X0,sK2) )
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f2729,f190]) ).
fof(f38029,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) = k2_binop_1(k1_autgroup(sK0),k1_autgroup(sK0),k1_autgroup(sK0),k2_autgroup(sK0),sK1,sK2)
| ~ spl26_14
| ~ spl26_15 ),
inference(resolution,[],[f2731,f704]) ).
fof(f47698,plain,
( k1_binop_1(k2_autgroup(sK0),sK1,sK2) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK2,sK1)
| spl26_2
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f38029,f1599]) ).
fof(f47717,plain,
( $false
| spl26_2
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f47698,f194]) ).
fof(f47718,plain,
( spl26_2
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f47717]) ).
cnf(s16,plain,
~ spl26_2,
inference(sat_conversion,[],[f525]) ).
cnf(s22,plain,
( spl26_2
| ~ spl26_13
| spl26_14 ),
inference(sat_conversion,[],[f689]) ).
cnf(s23,plain,
( spl26_2
| ~ spl26_13
| spl26_15 ),
inference(sat_conversion,[],[f705]) ).
cnf(s24,plain,
spl26_13,
inference(sat_conversion,[],[f717]) ).
cnf(s1910,plain,
( spl26_2
| ~ spl26_14
| ~ spl26_15 ),
inference(sat_conversion,[],[f47718]) ).
cnf(s2131,plain,
( spl26_2
| spl26_15 ),
inference(rat,[],[s23,s24]) ).
cnf(s2132,plain,
( spl26_2
| spl26_14 ),
inference(rat,[],[s22,s24]) ).
cnf(s2173,plain,
spl26_15,
inference(rat,[],[s2131,s16]) ).
cnf(s2174,plain,
spl26_14,
inference(rat,[],[s2132,s16]) ).
cnf(s2198,plain,
$false,
inference(rat,[],[s1910,s16,s2173,s2174]) ).
fof(f47761,plain,
$false,
inference(avatar_sat_refutation,[],[s2198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP624+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 10:10:20 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.32 Running first-order model finding
% 0.08/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.69/1.09 % (2158801)Will run a generic schedule for satisfiability detection.
% 4.69/1.09 % (2158807)% WARNING: option uhcvi not known.
% 4.69/1.09 % (2158812)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1645970012:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.69/1.09 % (2158806)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2670637372_2999 on theBenchmark for (2999ds/0Mi)
% 4.69/1.09 % (2158809)dis+10_1_sil=32000:sp=arity:random_seed=1955239833:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.69/1.09 % (2158807)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2537534348:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.69/1.09 % (2158808)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3495125684:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.69/1.09 % (2158810)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3686172229:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.69/1.09 % (2158811)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1524423934:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.69/1.09 % TRYING [1]
% 4.69/1.09 % TRYING [2]
% 4.69/1.09 % TRYING [3]
% 4.69/1.09 % (2158809)Instruction limit reached!
% 4.69/1.09 % (2158809)------------------------------
% 4.69/1.09 % (2158809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.09 % (2158809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.09 % (2158809)CaDiCaL version: 2.1.3
% 4.69/1.09 % (2158809)Termination reason: Instruction limit
% 4.69/1.09 % (2158809)Termination phase: Saturation
% 4.69/1.09 % (2158809)Time elapsed: 0.038 s
% 4.69/1.09 % (2158809)Peak memory usage: 12 MB
% 4.69/1.09 % (2158809)Instructions burned: 103 (million)
% 4.69/1.09 % (2158810)Instruction limit reached!
% 4.69/1.09 % (2158810)------------------------------
% 4.69/1.09 % (2158810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.09 % (2158810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.09 % (2158810)CaDiCaL version: 2.1.3
% 4.69/1.09 % (2158810)Termination reason: Instruction limit
% 4.69/1.09 % (2158810)Termination phase: Saturation
% 4.69/1.09 % (2158810)Time elapsed: 0.041 s
% 4.69/1.09 % (2158810)Peak memory usage: 13 MB
% 4.69/1.09 % (2158810)Instructions burned: 117 (million)
% 4.69/1.09 % (2158811)Instruction limit reached!
% 4.69/1.09 % (2158811)------------------------------
% 4.69/1.09 % (2158811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.09 % (2158811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.09 % (2158811)CaDiCaL version: 2.1.3
% 4.69/1.09 % (2158811)Termination reason: Instruction limit
% 4.69/1.09 % (2158811)Termination phase: Saturation
% 4.69/1.09 % (2158811)Time elapsed: 0.042 s
% 4.69/1.09 % (2158811)Peak memory usage: 13 MB
% 4.69/1.09 % (2158811)Instructions burned: 134 (million)
% 4.69/1.09 % (2158820)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4240336964:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.69/1.09 % (2158821)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=488399072:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.69/1.09 % (2158822)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1773506196:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.69/1.09 % TRYING [1]
% 4.69/1.09 % TRYING [2]
% 4.69/1.09 % (2158812)Instruction limit reached!
% 4.69/1.09 % (2158812)------------------------------
% 4.69/1.09 % (2158812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.09 % (2158812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.09 % (2158812)CaDiCaL version: 2.1.3
% 4.69/1.09 % (2158812)Termination reason: Instruction limit
% 4.69/1.09 % (2158812)Termination phase: Saturation
% 4.69/1.09 % (2158812)Time elapsed: 0.058 s
% 4.69/1.09 % (2158812)Peak memory usage: 13 MB
% 4.69/1.09 % (2158812)Instructions burned: 168 (million)
% 4.69/1.09 % TRYING [3]
% 4.69/1.09 % TRYING [4]
% 4.69/1.09 % (2158826)ott-21_1_sil=16000:fs=off:random_seed=1627086113:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.69/1.09 % (2158821)Instruction limit reached!
% 4.69/1.09 % (2158821)------------------------------
% 4.69/1.09 % (2158821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.09 % (2158821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.10 % (2158821)CaDiCaL version: 2.1.3
% 18.80/3.10 % (2158821)Termination reason: Instruction limit
% 18.80/3.10 % (2158821)Termination phase: Saturation
% 18.80/3.10 % (2158821)Time elapsed: 0.045 s
% 18.80/3.10 % (2158821)Peak memory usage: 14 MB
% 18.80/3.10 % (2158821)Instructions burned: 134 (million)
% 18.80/3.10 % TRYING [4]
% 18.80/3.10 % (2158828)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1476716811:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.80/3.10 % (2158826)Instruction limit reached!
% 18.80/3.10 % (2158826)------------------------------
% 18.80/3.10 % (2158826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.10 % (2158826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.10 % (2158826)CaDiCaL version: 2.1.3
% 18.80/3.10 % (2158826)Termination reason: Instruction limit
% 18.80/3.10 % (2158826)Termination phase: Saturation
% 18.80/3.10 % (2158826)Time elapsed: 0.055 s
% 18.80/3.10 % (2158826)Peak memory usage: 13 MB
% 18.80/3.10 % (2158826)Instructions burned: 183 (million)
% 18.80/3.10 % (2158830)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=325626509:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 18.80/3.10 % TRYING [1]
% 18.80/3.10 % TRYING [2]
% 18.80/3.10 % TRYING [3]
% 18.80/3.10 % (2158820)Instruction limit reached!
% 18.80/3.10 % (2158820)------------------------------
% 18.80/3.10 % (2158820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.10 % (2158820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.10 % (2158820)CaDiCaL version: 2.1.3
% 18.80/3.10 % (2158820)Termination reason: Instruction limit
% 18.80/3.10 % (2158820)Termination phase: Finite model building constraint generation
% 18.80/3.10 % (2158820)Time elapsed: 0.128 s
% 18.80/3.10 % (2158820)Peak memory usage: 29 MB
% 18.80/3.10 % (2158820)Instructions burned: 715 (million)
% 18.80/3.10 % (2158832)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2927609232:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 18.80/3.10 % TRYING [4]
% 18.80/3.10 % (2158822)Instruction limit reached!
% 18.80/3.10 % (2158822)------------------------------
% 18.80/3.10 % (2158822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.10 % (2158822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.10 % (2158822)CaDiCaL version: 2.1.3
% 18.80/3.10 % (2158822)Termination reason: Instruction limit
% 18.80/3.10 % (2158822)Termination phase: Saturation
% 18.80/3.10 % (2158822)Time elapsed: 0.223 s
% 18.80/3.10 % (2158822)Peak memory usage: 19 MB
% 18.80/3.10 % (2158822)Instructions burned: 687 (million)
% 18.80/3.10 % (2158834)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3761016501:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 18.80/3.10 % (2158828)Instruction limit reached!
% 18.80/3.10 % (2158828)------------------------------
% 18.80/3.10 % (2158828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.10 % (2158828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.10 % (2158828)CaDiCaL version: 2.1.3
% 18.80/3.10 % (2158828)Termination reason: Instruction limit
% 18.80/3.10 % (2158828)Termination phase: Saturation
% 18.80/3.10 % (2158828)Time elapsed: 0.179 s
% 18.80/3.10 % (2158828)Peak memory usage: 15 MB
% 18.80/3.10 % (2158828)Instructions burned: 477 (million)
% 18.80/3.10 % (2158836)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=635544375:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 18.80/3.10 % (2158830)Instruction limit reached!
% 18.80/3.10 % (2158830)------------------------------
% 18.80/3.10 % (2158830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.10 % (2158830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.10 % (2158830)CaDiCaL version: 2.1.3
% 18.80/3.10 % (2158830)Termination reason: Instruction limit
% 18.80/3.10 % (2158830)Termination phase: Finite model building constraint generation
% 18.80/3.10 % (2158830)Time elapsed: 0.169 s
% 18.80/3.10 % (2158830)Peak memory usage: 29 MB
% 18.80/3.10 % (2158830)Instructions burned: 870 (million)
% 18.80/3.10 % (2158838)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2811166591:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 18.80/3.10 % TRYING [5]
% 18.80/3.10 % (2158836)Instruction limit reached!
% 18.80/3.10 % (2158836)------------------------------
% 13.31/4.14 % (2158836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158836)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158836)Termination reason: Instruction limit
% 13.31/4.14 % (2158836)Termination phase: Saturation
% 13.31/4.14 % (2158836)Time elapsed: 0.215 s
% 13.31/4.14 % (2158836)Peak memory usage: 23 MB
% 13.31/4.14 % (2158836)Instructions burned: 693 (million)
% 13.31/4.14 % (2158840)fmb+10_1_sil=64000:random_seed=203391896:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 13.31/4.14 % (2158834)Instruction limit reached!
% 13.31/4.14 % (2158834)------------------------------
% 13.31/4.14 % (2158834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158834)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158834)Termination reason: Instruction limit
% 13.31/4.14 % (2158834)Termination phase: Finite model building constraint generation
% 13.31/4.14 % (2158834)Time elapsed: 0.241 s
% 13.31/4.14 % (2158834)Peak memory usage: 107 MB
% 13.31/4.14 % (2158834)Instructions burned: 892 (million)
% 13.31/4.14 % TRYING [1]
% 13.31/4.14 % TRYING [2]
% 13.31/4.14 % TRYING [3]
% 13.31/4.14 % (2158842)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1426648178:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 13.31/4.14 % (2158842)Cannot represent all propositional literals internally
% 13.31/4.14 % (2158842)Refutation not found, incomplete strategy
% 13.31/4.14 % (2158842)------------------------------
% 13.31/4.14 % (2158842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158842)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158842)Termination reason: Refutation not found, incomplete strategy
% 13.31/4.14 % (2158842)Time elapsed: 0.005 s
% 13.31/4.14 % (2158842)Peak memory usage: 10 MB
% 13.31/4.14 % (2158842)Instructions burned: 19 (million)
% 13.31/4.14 % (2158842)------------------------------
% 13.31/4.14 % (2158842)------------------------------
% 13.31/4.14 % (2158832)Instruction limit reached!
% 13.31/4.14 % (2158832)------------------------------
% 13.31/4.14 % (2158832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158832)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158832)Termination reason: Instruction limit
% 13.31/4.14 % (2158832)Termination phase: Saturation
% 13.31/4.14 % (2158832)Time elapsed: 0.369 s
% 13.31/4.14 % (2158832)Peak memory usage: 26 MB
% 13.31/4.14 % (2158832)Instructions burned: 1181 (million)
% 13.31/4.14 % (2158844)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2882078028:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 13.31/4.14 % TRYING [8]
% 13.31/4.14 % (2158845)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3444568314:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 13.31/4.14 % (2158838)Instruction limit reached!
% 13.31/4.14 % (2158838)------------------------------
% 13.31/4.14 % (2158838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158838)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158838)Termination reason: Instruction limit
% 13.31/4.14 % (2158838)Termination phase: Saturation
% 13.31/4.14 % (2158838)Time elapsed: 0.276 s
% 13.31/4.14 % (2158838)Peak memory usage: 19 MB
% 13.31/4.14 % (2158838)Instructions burned: 881 (million)
% 13.31/4.14 % (2158848)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=156486622:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 13.31/4.14 % TRYING [4]
% 13.31/4.14 % (2158844)Instruction limit reached!
% 13.31/4.14 % (2158844)------------------------------
% 13.31/4.14 % (2158844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158844)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158844)Termination reason: Instruction limit
% 13.31/4.14 % (2158844)Termination phase: Finite model building constraint generation
% 13.31/4.14 % (2158844)Time elapsed: 0.153 s
% 13.31/4.14 % (2158844)Peak memory usage: 49 MB
% 13.31/4.14 % (2158844)Instructions burned: 923 (million)
% 13.31/4.14 % (2158850)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3127983928:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 13.31/4.14 % (2158850)Cannot represent all propositional literals internally
% 13.31/4.14 % (2158850)Refutation not found, incomplete strategy
% 13.31/4.14 % (2158850)------------------------------
% 13.31/4.14 % (2158850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158850)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158850)Termination reason: Refutation not found, incomplete strategy
% 13.31/4.14 % (2158850)Time elapsed: 0.006 s
% 13.31/4.14 % (2158850)Peak memory usage: 11 MB
% 13.31/4.14 % (2158850)Instructions burned: 22 (million)
% 13.31/4.14 % (2158850)------------------------------
% 13.31/4.14 % (2158850)------------------------------
% 13.31/4.14 % (2158852)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=350436076:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 13.31/4.14 % TRYING [16]
% 13.31/4.14 % (2158848)Instruction limit reached!
% 13.31/4.14 % (2158848)------------------------------
% 13.31/4.14 % (2158848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158848)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158848)Termination reason: Instruction limit
% 13.31/4.14 % (2158848)Termination phase: Saturation
% 13.31/4.14 % (2158848)Time elapsed: 0.408 s
% 13.31/4.14 % (2158848)Peak memory usage: 26 MB
% 13.31/4.14 % (2158848)Instructions burned: 1472 (million)
% 13.31/4.14 % (2158854)ott-2_1_sil=16000:newcnf=on:random_seed=546292855:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 13.31/4.14 % (2158852)Instruction limit reached!
% 13.31/4.14 % (2158852)------------------------------
% 13.31/4.14 % (2158852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158852)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158852)Termination reason: Instruction limit
% 13.31/4.14 % (2158852)Termination phase: Finite model building constraint generation
% 13.31/4.14 % (2158852)Time elapsed: 0.397 s
% 13.31/4.14 % (2158852)Peak memory usage: 121 MB
% 13.31/4.14 % (2158852)Instructions burned: 2175 (million)
% 13.31/4.14 % (2158856)ott+10_1_sil=32000:tgt=ground:random_seed=2431079543:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 13.31/4.14 % (2158854)Instruction limit reached!
% 13.31/4.14 % (2158854)------------------------------
% 13.31/4.14 % (2158854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158854)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158854)Termination reason: Instruction limit
% 13.31/4.14 % (2158854)Termination phase: Saturation
% 13.31/4.14 % (2158854)Time elapsed: 0.273 s
% 13.31/4.14 % (2158854)Peak memory usage: 19 MB
% 13.31/4.14 % (2158854)Instructions burned: 872 (million)
% 13.31/4.14 % TRYING [5]
% 13.31/4.14 % (2158858)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2271052950:i=54282_2986 on theBenchmark for (2986ds/54282Mi)
% 13.31/4.14 % TRYING [1]
% 13.31/4.14 % TRYING [2]
% 13.31/4.14 % TRYING [3]
% 13.31/4.14 % TRYING [4]
% 13.31/4.14 % TRYING [5]
% 13.31/4.14 % (2158845)Instruction limit reached!
% 13.31/4.14 % (2158845)------------------------------
% 13.31/4.14 % (2158845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158845)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158845)Termination reason: Instruction limit
% 13.31/4.14 % (2158845)Termination phase: Saturation
% 13.31/4.14 % (2158845)Time elapsed: 1.493 s
% 13.31/4.14 % (2158845)Peak memory usage: 32 MB
% 13.31/4.14 % (2158845)Instructions burned: 5132 (million)
% 13.31/4.14 % (2158860)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1048282481:i=3512:aac=none_2979 on theBenchmark for (2979ds/3512Mi)
% 13.31/4.14 % (2158856)Instruction limit reached!
% 13.31/4.14 % (2158856)------------------------------
% 13.31/4.14 % (2158856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158856)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158856)Termination reason: Instruction limit
% 13.31/4.14 % (2158856)Termination phase: Saturation
% 13.31/4.14 % (2158856)Time elapsed: 1.578 s
% 13.31/4.14 % (2158856)Peak memory usage: 58 MB
% 13.31/4.14 % (2158856)Instructions burned: 5115 (million)
% 13.31/4.14 % (2158862)dis+21_1_sil=32000:sas=cadical:random_seed=1239732199:i=3773:amm=off_2972 on theBenchmark for (2972ds/3773Mi)
% 13.31/4.14 % (2158860)Instruction limit reached!
% 13.31/4.14 % (2158860)------------------------------
% 13.31/4.14 % (2158860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.14 % (2158860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.14 % (2158860)CaDiCaL version: 2.1.3
% 13.31/4.14 % (2158860)Termination reason: Instruction limit
% 13.31/4.14 % (2158860)Termination phase: Saturation
% 13.31/4.14 % (2158860)Time elapsed: 1.078 s
% 13.31/4.14 % (2158860)Peak memory usage: 31 MB
% 13.31/4.14 % (2158860)Instructions burned: 3513 (million)
% 13.31/4.14 % (2158864)ott+11_1_sil=16000:gs=on:random_seed=4045406584:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2968 on theBenchmark for (2968ds/2251Mi)
% 13.31/4.14 % TRYING [6]
% 13.31/4.14 % (2158862) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2158801-2158862"...
% 13.31/4.14 % (2158862)...printing done.
% 13.31/4.14 % (2158862)Refutation found. Thanks to Tanya!
% 13.31/4.14 % SZS status Theorem for theBenchmark
% 13.31/4.14 % SZS output start Proof for theBenchmark
% See solution above
% 13.31/4.15 % (2158862)------------------------------
% 13.31/4.15 % (2158862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.31/4.15 % (2158862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/4.15 % (2158862)CaDiCaL version: 2.1.3
% 13.31/4.15 % (2158862)Termination reason: Refutation
% 13.31/4.15 % (2158862)Time elapsed: 0.983 s
% 13.31/4.15 % (2158862)Peak memory usage: 32 MB
% 13.31/4.15 % (2158862)Instructions burned: 3129 (million)
% 13.31/4.15 % (2158801)Success in time 3.814 s
% 13.31/4.15 % Vampire exiting
%------------------------------------------------------------------------------