%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP632+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:18 AM UTC 2026
% Result : Theorem 9.89s 2.55s
% Output : Refutation 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 177 ( 27 unt; 9 def)
% Number of atoms : 648 ( 68 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 802 ( 331 ~; 383 |; 63 &)
% ( 10 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 10 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 161 ( 0 sgn 157 !; 4 ?)
% 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))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_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))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f22,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f24,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(f25,axiom,
! [X0] :
( v1_partfun1(k6_partfun1(X0),X0,X0)
& m2_relset_1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f29,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] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f47,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(f50,axiom,
! [X0] :
( v1_relat_1(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0))
& v8_relat_2(k6_relat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f68,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f69,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X3,X0,X1)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f70,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X4,X0,X1)
& m1_relset_1(X5,X2,X3) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f72,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(f75,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2
& k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f76,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f87,plain,
! [X0] :
( v1_relat_1(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v8_relat_2(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 )
& 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(f91,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 )
& 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,[],[f90]) ).
fof(f118,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f119,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f121,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,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)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f125,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,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)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f124]) ).
fof(f130,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f132]) ).
fof(f142,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f143,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f142]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(ennf_transformation,[],[f70]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(flattening,[],[f150]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2
& k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f156,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(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,[],[f76]) ).
fof(f157,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(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,[],[f156]) ).
fof(f167,plain,
( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0)))
| sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f168,plain,
m2_fraenkel(sK1,u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)),
inference(cnf_transformation,[],[f91]) ).
fof(f169,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f170,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f171,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f172,plain,
v1_group_1(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f173,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f91]) ).
fof(f194,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f195,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f197,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f198,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f205,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_funct_2(X3,X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| v1_funct_1(X3) ),
inference(cnf_transformation,[],[f133]) ).
fof(f226,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f233,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f87]) ).
fof(f287,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f68]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_2(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,X0,X1)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X3)
| v1_xboole_0(X1)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(cnf_transformation,[],[f149]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(cnf_transformation,[],[f151]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 ),
inference(cnf_transformation,[],[f155]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ),
inference(cnf_transformation,[],[f155]) ).
fof(f298,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f307,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f198,f287]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),X2) = X2 ),
inference(definition_unfolding,[],[f297,f287]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_relat_1(X1)) = X2 ),
inference(definition_unfolding,[],[f296,f287]) ).
fof(f310,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0)
| k6_autgroup(X0,k2_group_1(X0)) = k6_relat_1(u1_struct_0(X0)) ),
inference(definition_unfolding,[],[f298,f287]) ).
fof(f312,definition,
( spl25_1
<=> sK1 = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f314,plain,
( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_autgroup(sK0,k2_group_1(sK0)),sK1)
| spl25_1 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,definition,
( spl25_2
<=> sK1 = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f318,plain,
( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_autgroup(sK0,k2_group_1(sK0)))
| spl25_2 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( ~ spl25_1
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f167,f316,f312]) ).
fof(f375,plain,
! [X0] : m1_relset_1(k6_relat_1(X0),X0,X0),
inference(resolution,[],[f293,f307]) ).
fof(f428,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_funct_1(sK1) ),
inference(resolution,[],[f210,f168]) ).
fof(f430,definition,
( spl25_3
<=> v1_funct_1(sK1) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f432,plain,
( v1_funct_1(sK1)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f434,definition,
( spl25_4
<=> m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).
fof(f435,plain,
( m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f436,plain,
( ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| spl25_4 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f438,definition,
( spl25_5
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f439,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl25_5 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f440,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f441,plain,
( spl25_3
| ~ spl25_4
| spl25_5 ),
inference(avatar_split_clause,[],[f428,f438,f434,f430]) ).
fof(f467,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolution,[],[f208,f168]) ).
fof(f473,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
inference(resolution,[],[f209,f168]) ).
fof(f494,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| spl25_4 ),
inference(resolution,[],[f195,f436]) ).
fof(f497,plain,
( ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f494,f170]) ).
fof(f498,plain,
( ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f497,f171]) ).
fof(f499,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f498,f172]) ).
fof(f500,plain,
( ~ l1_group_1(sK0)
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f499,f173]) ).
fof(f501,plain,
( $false
| spl25_4 ),
inference(forward_subsumption_resolution,[],[f500,f169]) ).
fof(f502,plain,
spl25_4,
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f504,plain,
( v1_xboole_0(u1_struct_0(sK0))
| m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f467,f435]) ).
fof(f505,plain,
( v1_xboole_0(u1_struct_0(sK0))
| v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f473,f435]) ).
fof(f512,definition,
( spl25_7
<=> m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).
fof(f514,plain,
( m2_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl25_7 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f515,plain,
( spl25_7
| spl25_5
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f504,f434,f438,f512]) ).
fof(f517,definition,
( spl25_8
<=> v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_8])],[avatar_definition]) ).
fof(f519,plain,
( v1_funct_2(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f520,plain,
( spl25_8
| spl25_5
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f505,f434,f438,f517]) ).
fof(f521,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl25_5 ),
inference(resolution,[],[f440,f226]) ).
fof(f528,plain,
( ~ l1_struct_0(sK0)
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f521,f173]) ).
fof(f530,plain,
( ~ l1_group_1(sK0)
| ~ spl25_5 ),
inference(resolution,[],[f528,f205]) ).
fof(f531,plain,
( $false
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f530,f169]) ).
fof(f532,plain,
~ spl25_5,
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f544,plain,
( sK1 = k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0)))
| ~ spl25_7 ),
inference(resolution,[],[f514,f309]) ).
fof(f545,plain,
( sK1 = k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1)
| ~ spl25_7 ),
inference(resolution,[],[f514,f308]) ).
fof(f547,plain,
( m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl25_7 ),
inference(resolution,[],[f514,f293]) ).
fof(f600,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)) ),
inference(resolution,[],[f310,f170]) ).
fof(f603,plain,
( ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f600,f169]) ).
fof(f605,plain,
( ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f603,f171]) ).
fof(f607,plain,
( v3_struct_0(sK0)
| k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f605,f172]) ).
fof(f609,plain,
k6_autgroup(sK0,k2_group_1(sK0)) = k6_relat_1(u1_struct_0(sK0)),
inference(forward_subsumption_resolution,[],[f607,f173]) ).
fof(f610,plain,
( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1)
| spl25_1 ),
inference(superposition,[],[f314,f609]) ).
fof(f618,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X2,u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) = k5_relat_1(X0,sK1) )
| ~ spl25_7 ),
inference(resolution,[],[f289,f547]) ).
fof(f626,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),X1,X2,sK1,X0) = k5_relat_1(sK1,X0) )
| ~ spl25_7 ),
inference(resolution,[],[f289,f547]) ).
fof(f630,plain,
( ! [X0] : k7_relset_1(X0,X0,u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(X0),sK1) = k5_relat_1(k6_relat_1(X0),sK1)
| ~ spl25_7 ),
inference(resolution,[],[f618,f375]) ).
fof(f638,plain,
( ! [X0] : k7_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),X0,X0,sK1,k6_relat_1(X0)) = k5_relat_1(sK1,k6_relat_1(X0))
| ~ spl25_7 ),
inference(resolution,[],[f626,f375]) ).
fof(f655,plain,
( sK1 = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),sK1)
| ~ spl25_7 ),
inference(superposition,[],[f545,f630]) ).
fof(f676,plain,
( sK1 = k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0)))
| ~ spl25_7 ),
inference(superposition,[],[f544,f638]) ).
fof(f1661,plain,
( m2_fraenkel(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(superposition,[],[f197,f609]) ).
fof(f1664,plain,
( m2_fraenkel(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1661,f169]) ).
fof(f1670,plain,
( m2_fraenkel(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1664,f170]) ).
fof(f1672,plain,
( m2_fraenkel(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ v1_group_1(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1670,f171]) ).
fof(f1674,plain,
( m2_fraenkel(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| v3_struct_0(sK0)
| ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1672,f172]) ).
fof(f1676,plain,
( m2_fraenkel(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1674,f173]) ).
fof(f1687,definition,
( spl25_13
<=> m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_13])],[avatar_definition]) ).
fof(f1689,plain,
( ~ m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0))
| spl25_13 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f1691,definition,
( spl25_14
<=> m2_fraenkel(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_14])],[avatar_definition]) ).
fof(f1693,plain,
( m2_fraenkel(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0),k4_autgroup(sK0))
| ~ spl25_14 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f1694,plain,
( ~ spl25_13
| spl25_14 ),
inference(avatar_split_clause,[],[f1676,f1691,f1687]) ).
fof(f1695,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| spl25_13 ),
inference(resolution,[],[f1689,f194]) ).
fof(f1698,plain,
( ~ l1_group_1(sK0)
| spl25_13 ),
inference(forward_subsumption_resolution,[],[f1695,f173]) ).
fof(f1699,plain,
( $false
| spl25_13 ),
inference(forward_subsumption_resolution,[],[f1698,f169]) ).
fof(f1700,plain,
spl25_13,
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1717,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl25_14 ),
inference(resolution,[],[f1693,f209]) ).
fof(f1722,plain,
( ~ m1_fraenkel(k4_autgroup(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| spl25_5
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f1717,f439]) ).
fof(f1724,plain,
( v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl25_4
| spl25_5
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f1722,f435]) ).
fof(f3563,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(sK0))
| ~ v1_funct_1(sK1)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK0))
| k5_relat_1(X0,sK1) = k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) )
| ~ spl25_8 ),
inference(resolution,[],[f288,f519]) ).
fof(f3572,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(sK1)
| v1_xboole_0(u1_struct_0(sK0))
| k5_relat_1(sK1,X0) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1,X0) )
| ~ spl25_8 ),
inference(resolution,[],[f288,f519]) ).
fof(f3584,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(sK1)
| v1_xboole_0(u1_struct_0(sK0))
| k5_relat_1(sK1,X0) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1,X0) )
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f3572,f547]) ).
fof(f3591,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(sK0))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK0))
| ~ m1_relset_1(sK1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK0))
| k5_relat_1(X0,sK1) = k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) )
| ~ spl25_3
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f3563,f432]) ).
fof(f3598,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| v1_xboole_0(u1_struct_0(sK0))
| k5_relat_1(sK1,X0) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1,X0) )
| ~ spl25_3
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f3584,f432]) ).
fof(f3605,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(sK0))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK0))
| k5_relat_1(X0,sK1) = k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) )
| ~ spl25_3
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f3591,f547]) ).
fof(f3611,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| k5_relat_1(sK1,X0) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),X1,sK1,X0) )
| ~ spl25_3
| spl25_5
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f3598,f439]) ).
fof(f3614,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(sK0))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| k5_relat_1(X0,sK1) = k7_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0),X0,sK1) )
| ~ spl25_3
| spl25_5
| ~ spl25_7
| ~ spl25_8 ),
inference(forward_subsumption_resolution,[],[f3605,f439]) ).
fof(f3651,plain,
( ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0))) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0)))
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(resolution,[],[f3611,f1724]) ).
fof(f3660,plain,
( ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0))) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0)))
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f3651,f233]) ).
fof(f3665,plain,
( k5_relat_1(sK1,k6_relat_1(u1_struct_0(sK0))) = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0)))
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f3660,f375]) ).
fof(f3667,plain,
( sK1 = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0)))
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_demodulation,[],[f3665,f676]) ).
fof(f3708,plain,
( ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),sK1)
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(resolution,[],[f3614,f1724]) ).
fof(f3712,plain,
( ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),sK1)
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f3708,f375]) ).
fof(f3716,plain,
( k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1) = k5_relat_1(k6_relat_1(u1_struct_0(sK0)),sK1)
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f3712,f233]) ).
fof(f3720,plain,
( sK1 = k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),sK1)
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_demodulation,[],[f3716,f655]) ).
fof(f3721,plain,
( $false
| spl25_1
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f3720,f610]) ).
fof(f3722,plain,
( spl25_1
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(avatar_contradiction_clause,[],[f3721]) ).
fof(f3724,plain,
( sK1 != k7_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),sK1,k6_relat_1(u1_struct_0(sK0)))
| spl25_2 ),
inference(forward_demodulation,[],[f318,f609]) ).
fof(f3725,plain,
( $false
| spl25_2
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f3724,f3667]) ).
fof(f3726,plain,
( spl25_2
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(avatar_contradiction_clause,[],[f3725]) ).
cnf(s1,plain,
( ~ spl25_1
| ~ spl25_2 ),
inference(sat_conversion,[],[f319]) ).
cnf(s2,plain,
( spl25_3
| ~ spl25_4
| spl25_5 ),
inference(sat_conversion,[],[f441]) ).
cnf(s3,plain,
spl25_4,
inference(sat_conversion,[],[f502]) ).
cnf(s5,plain,
( ~ spl25_4
| spl25_5
| spl25_7 ),
inference(sat_conversion,[],[f515]) ).
cnf(s6,plain,
( ~ spl25_4
| spl25_5
| spl25_8 ),
inference(sat_conversion,[],[f520]) ).
cnf(s7,plain,
~ spl25_5,
inference(sat_conversion,[],[f532]) ).
cnf(s12,plain,
( ~ spl25_13
| spl25_14 ),
inference(sat_conversion,[],[f1694]) ).
cnf(s13,plain,
spl25_13,
inference(sat_conversion,[],[f1700]) ).
cnf(s33,plain,
( spl25_1
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(sat_conversion,[],[f3722]) ).
cnf(s34,plain,
( spl25_2
| ~ spl25_3
| ~ spl25_4
| spl25_5
| ~ spl25_7
| ~ spl25_8
| ~ spl25_14 ),
inference(sat_conversion,[],[f3726]) ).
cnf(s39,plain,
spl25_14,
inference(rat,[],[s12,s13]) ).
cnf(s43,plain,
( ~ spl25_4
| spl25_8 ),
inference(rat,[],[s6,s7]) ).
cnf(s44,plain,
( ~ spl25_4
| spl25_7 ),
inference(rat,[],[s5,s7]) ).
cnf(s47,plain,
spl25_8,
inference(rat,[],[s43,s3]) ).
cnf(s48,plain,
spl25_7,
inference(rat,[],[s44,s3]) ).
cnf(s51,plain,
spl25_3,
inference(rat,[],[s2,s7,s3]) ).
cnf(s52,plain,
spl25_2,
inference(rat,[],[s34,s39,s47,s48,s7,s3,s51]) ).
cnf(s53,plain,
spl25_1,
inference(rat,[],[s33,s39,s47,s48,s7,s3,s51]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s1,s52,s53]) ).
fof(f3727,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP632+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:16:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 8.95/1.84 % (708)Will run a generic schedule for satisfiability detection.
% 8.95/1.84 % (713)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3418892940_2999 on theBenchmark for (2999ds/0Mi)
% 8.95/1.84 % (714)% WARNING: option uhcvi not known.
% 8.95/1.84 % TRYING [1]
% 8.95/1.84 % TRYING [2]
% 8.95/1.84 % TRYING [3]
% 8.95/1.84 % (714)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1179656507:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.95/1.84 % (715)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3417167874:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.95/1.84 % (717)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4179679347:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.95/1.84 % (716)dis+10_1_sil=32000:sp=arity:random_seed=3933540092:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.95/1.84 % (718)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1699471358:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.95/1.84 % (719)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3086671682:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.95/1.84 % TRYING [4]
% 8.95/1.84 % (716)Instruction limit reached!
% 8.95/1.84 % (716)------------------------------
% 8.95/1.84 % (716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.95/1.84 % (716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/1.84 % (716)CaDiCaL version: 2.1.3
% 8.95/1.84 % (716)Termination reason: Instruction limit
% 8.95/1.84 % (716)Termination phase: Saturation
% 8.95/1.84 % (716)Time elapsed: 0.068 s
% 8.95/1.84 % (716)Peak memory usage: 13 MB
% 8.95/1.84 % (716)Instructions burned: 103 (million)
% 8.95/1.84 % (717)Instruction limit reached!
% 8.95/1.84 % (717)------------------------------
% 8.95/1.84 % (717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.95/1.84 % (717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/1.84 % (717)CaDiCaL version: 2.1.3
% 8.95/1.84 % (717)Termination reason: Instruction limit
% 8.95/1.84 % (717)Termination phase: Saturation
% 8.95/1.84 % (717)Time elapsed: 0.074 s
% 8.95/1.84 % (717)Peak memory usage: 13 MB
% 8.95/1.84 % (717)Instructions burned: 122 (million)
% 8.95/1.84 % (718)Instruction limit reached!
% 8.95/1.84 % (718)------------------------------
% 8.95/1.84 % (718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.95/1.84 % (718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/1.84 % (718)CaDiCaL version: 2.1.3
% 8.95/1.84 % (718)Termination reason: Instruction limit
% 8.95/1.84 % (718)Termination phase: Saturation
% 8.95/1.84 % (718)Time elapsed: 0.077 s
% 8.95/1.84 % (718)Peak memory usage: 13 MB
% 8.95/1.84 % (718)Instructions burned: 131 (million)
% 8.95/1.84 % (727)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1029077768:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.95/1.84 % (728)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=240316872:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.95/1.84 % (729)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=4264711202:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.95/1.84 % (719)Instruction limit reached!
% 8.95/1.84 % (719)------------------------------
% 8.95/1.84 % (719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.95/1.84 % (719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/1.84 % (719)CaDiCaL version: 2.1.3
% 8.95/1.84 % (719)Termination reason: Instruction limit
% 8.95/1.84 % (719)Termination phase: Saturation
% 8.95/1.84 % (719)Time elapsed: 0.098 s
% 8.95/1.84 % (719)Peak memory usage: 14 MB
% 8.95/1.84 % (719)Instructions burned: 159 (million)
% 8.95/1.84 % TRYING [1]
% 8.95/1.84 % TRYING [5]
% 8.95/1.84 % TRYING [2]
% 8.95/1.84 % TRYING [3]
% 8.95/1.84 % (733)ott-21_1_sil=16000:fs=off:random_seed=2848716242:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.95/1.84 % TRYING [4]
% 8.95/1.84 % (728)Instruction limit reached!
% 8.95/1.84 % (728)------------------------------
% 8.95/1.84 % (728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.95/1.84 % (728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/1.84 % (728)CaDiCaL version: 2.1.3
% 8.95/1.84 % (728)Termination reason: Instruction limit
% 8.95/1.84 % (728)Termination phase: Saturation
% 8.95/1.84 % (728)Time elapsed: 0.076 s
% 9.89/2.55 % (728)Peak memory usage: 13 MB
% 9.89/2.55 % (728)Instructions burned: 131 (million)
% 9.89/2.55 % (735)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=307034570:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 9.89/2.55 % (733)Instruction limit reached!
% 9.89/2.55 % (733)------------------------------
% 9.89/2.55 % (733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (733)CaDiCaL version: 2.1.3
% 9.89/2.55 % (733)Termination reason: Instruction limit
% 9.89/2.55 % (733)Termination phase: Saturation
% 9.89/2.55 % (733)Time elapsed: 0.102 s
% 9.89/2.55 % (733)Peak memory usage: 13 MB
% 9.89/2.55 % (733)Instructions burned: 180 (million)
% 9.89/2.55 % (737)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4075625396:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.89/2.55 % TRYING [1]
% 9.89/2.55 % TRYING [2]
% 9.89/2.55 % TRYING [3]
% 9.89/2.55 % TRYING [4]
% 9.89/2.55 % (727)Instruction limit reached!
% 9.89/2.55 % (727)------------------------------
% 9.89/2.55 % (727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (727)CaDiCaL version: 2.1.3
% 9.89/2.55 % (727)Termination reason: Instruction limit
% 9.89/2.55 % (727)Termination phase: Finite model building SAT solving
% 9.89/2.55 % (727)Time elapsed: 0.318 s
% 9.89/2.55 % (727)Peak memory usage: 40 MB
% 9.89/2.55 % (727)Instructions burned: 715 (million)
% 9.89/2.55 % (739)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1414249464:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 9.89/2.55 % (735)Instruction limit reached!
% 9.89/2.55 % (735)------------------------------
% 9.89/2.55 % (735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (735)CaDiCaL version: 2.1.3
% 9.89/2.55 % (735)Termination reason: Instruction limit
% 9.89/2.55 % (735)Termination phase: Saturation
% 9.89/2.55 % (735)Time elapsed: 0.313 s
% 9.89/2.55 % (735)Peak memory usage: 15 MB
% 9.89/2.55 % (735)Instructions burned: 477 (million)
% 9.89/2.55 % (741)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2832756790:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 9.89/2.55 % TRYING [6]
% 9.89/2.55 % (729)Instruction limit reached!
% 9.89/2.55 % (729)------------------------------
% 9.89/2.55 % (729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (729)CaDiCaL version: 2.1.3
% 9.89/2.55 % (729)Termination reason: Instruction limit
% 9.89/2.55 % (729)Termination phase: Saturation
% 9.89/2.55 % (729)Time elapsed: 0.465 s
% 9.89/2.55 % (729)Peak memory usage: 19 MB
% 9.89/2.55 % (729)Instructions burned: 684 (million)
% 9.89/2.55 % (743)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=3796378952:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 9.89/2.55 % (737)Instruction limit reached!
% 9.89/2.55 % (737)------------------------------
% 9.89/2.55 % (737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (737)CaDiCaL version: 2.1.3
% 9.89/2.55 % (737)Termination reason: Instruction limit
% 9.89/2.55 % (737)Termination phase: Finite model building SAT solving
% 9.89/2.55 % (737)Time elapsed: 0.387 s
% 9.89/2.55 % (737)Peak memory usage: 33 MB
% 9.89/2.55 % (737)Instructions burned: 867 (million)
% 9.89/2.55 % (745)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2154659468:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 9.89/2.55 % (741)Instruction limit reached!
% 9.89/2.55 % (741)------------------------------
% 9.89/2.55 % (741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (741)CaDiCaL version: 2.1.3
% 9.89/2.55 % (741)Termination reason: Instruction limit
% 9.89/2.55 % (741)Termination phase: Finite model building constraint generation
% 9.89/2.55 % (741)Time elapsed: 0.414 s
% 9.89/2.55 % (741)Peak memory usage: 106 MB
% 9.89/2.55 % (741)Instructions burned: 890 (million)
% 9.89/2.55 % (747)fmb+10_1_sil=64000:random_seed=1802771520:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 9.89/2.55 % (743)Instruction limit reached!
% 9.89/2.55 % (743)------------------------------
% 9.89/2.55 % (743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (743)CaDiCaL version: 2.1.3
% 9.89/2.55 % (743)Termination reason: Instruction limit
% 9.89/2.55 % (743)Termination phase: Saturation
% 9.89/2.55 % (743)Time elapsed: 0.387 s
% 9.89/2.55 % (743)Peak memory usage: 23 MB
% 9.89/2.55 % (743)Instructions burned: 692 (million)
% 9.89/2.55 % TRYING [1]
% 9.89/2.55 % TRYING [2]
% 9.89/2.55 % TRYING [3]
% 9.89/2.55 % (749)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2005077295:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 9.89/2.55 % (749)Cannot represent all propositional literals internally
% 9.89/2.55 % (749)Refutation not found, incomplete strategy
% 9.89/2.55 % (749)------------------------------
% 9.89/2.55 % (749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (749)CaDiCaL version: 2.1.3
% 9.89/2.55 % (749)Termination reason: Refutation not found, incomplete strategy
% 9.89/2.55 % (749)Time elapsed: 0.006 s
% 9.89/2.55 % (749)Peak memory usage: 10 MB
% 9.89/2.55 % (749)Instructions burned: 12 (million)
% 9.89/2.55 % (749)------------------------------
% 9.89/2.55 % (749)------------------------------
% 9.89/2.55 % (751)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2421783546:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 9.89/2.55 % TRYING [8]
% 9.89/2.55 % TRYING [4]
% 9.89/2.55 % (739)Instruction limit reached!
% 9.89/2.55 % (739)------------------------------
% 9.89/2.55 % (739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (739)CaDiCaL version: 2.1.3
% 9.89/2.55 % (739)Termination reason: Instruction limit
% 9.89/2.55 % (739)Termination phase: Saturation
% 9.89/2.55 % (739)Time elapsed: 0.675 s
% 9.89/2.55 % (739)Peak memory usage: 24 MB
% 9.89/2.55 % (739)Instructions burned: 1180 (million)
% 9.89/2.55 % (753)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1731007817:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 9.89/2.55 % (745)Instruction limit reached!
% 9.89/2.55 % (745)------------------------------
% 9.89/2.55 % (745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (745)CaDiCaL version: 2.1.3
% 9.89/2.55 % (745)Termination reason: Instruction limit
% 9.89/2.55 % (745)Termination phase: Saturation
% 9.89/2.55 % (745)Time elapsed: 0.523 s
% 9.89/2.55 % (745)Peak memory usage: 20 MB
% 9.89/2.55 % (745)Instructions burned: 880 (million)
% 9.89/2.55 % (755)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3735364353:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 9.89/2.55 % (751)Instruction limit reached!
% 9.89/2.55 % (751)------------------------------
% 9.89/2.55 % (751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (751)CaDiCaL version: 2.1.3
% 9.89/2.55 % (751)Termination reason: Instruction limit
% 9.89/2.55 % (751)Termination phase: Finite model building constraint generation
% 9.89/2.55 % (751)Time elapsed: 0.304 s
% 9.89/2.55 % (751)Peak memory usage: 60 MB
% 9.89/2.55 % (751)Instructions burned: 923 (million)
% 9.89/2.55 % (757)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1021555991:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 9.89/2.55 % (757)Cannot represent all propositional literals internally
% 9.89/2.55 % (757)Refutation not found, incomplete strategy
% 9.89/2.55 % (757)------------------------------
% 9.89/2.55 % (757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (757)CaDiCaL version: 2.1.3
% 9.89/2.55 % (757)Termination reason: Refutation not found, incomplete strategy
% 9.89/2.55 % (757)Time elapsed: 0.007 s
% 9.89/2.55 % (757)Peak memory usage: 11 MB
% 9.89/2.55 % (757)Instructions burned: 12 (million)
% 9.89/2.55 % (757)------------------------------
% 9.89/2.55 % (757)------------------------------
% 9.89/2.55 % (759)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=920986527:fmbsr=2.30978:i=2174_2985 on theBenchmark for (2985ds/2174Mi)
% 9.89/2.55 % TRYING [16]
% 9.89/2.55 % TRYING [5]
% 9.89/2.55 % (755)Instruction limit reached!
% 9.89/2.55 % (755)------------------------------
% 9.89/2.55 % (755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (755)CaDiCaL version: 2.1.3
% 9.89/2.55 % (755)Termination reason: Instruction limit
% 9.89/2.55 % (755)Termination phase: Saturation
% 9.89/2.55 % (755)Time elapsed: 0.670 s
% 9.89/2.55 % (755)Peak memory usage: 23 MB
% 9.89/2.55 % (755)Instructions burned: 1474 (million)
% 9.89/2.55 % (761)ott-2_1_sil=16000:newcnf=on:random_seed=3877272173:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2980 on theBenchmark for (2980ds/869Mi)
% 9.89/2.55 % (761) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-708-761"...
% 9.89/2.55 % (761)...printing done.
% 9.89/2.55 % (761)Refutation found. Thanks to Tanya!
% 9.89/2.55 % SZS status Theorem for theBenchmark
% 9.89/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 9.89/2.55 % (761)------------------------------
% 9.89/2.55 % (761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/2.55 % (761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.55 % (761)CaDiCaL version: 2.1.3
% 9.89/2.55 % (761)Termination reason: Refutation
% 9.89/2.55 % (761)Time elapsed: 0.135 s
% 9.89/2.55 % (761)Peak memory usage: 16 MB
% 9.89/2.55 % (761)Instructions burned: 224 (million)
% 9.89/2.55 % (708)Success in time 2.129 s
% 9.89/2.55 % Vampire exiting
%------------------------------------------------------------------------------