%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG216+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 : n010.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 09:29:48 AM UTC 2026
% Result : Theorem 0.46s 0.38s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 112 ( 30 unt; 2 def)
% Number of atoms : 817 ( 23 equ)
% Maximal formula atoms : 23 ( 7 avg)
% Number of connectives : 1305 ( 600 ~; 572 |; 111 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 59 ( 0 sgn 53 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_rmod_5) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f31,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f33,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f34,axiom,
! [X0] :
( l2_vectsp_1(X0)
=> ( l1_vectsp_1(X0)
& l2_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(f47,axiom,
! [X0] :
( l2_struct_0(X0)
=> m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).
fof(f50,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_vectsp_2(X1,X0)
=> l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(f51,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f54,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_rmod_5) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f59]) ).
fof(f78,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f79,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f80,plain,
! [X0] :
( ( l1_vectsp_1(X0)
& l2_struct_0(X0) )
| ~ l2_vectsp_1(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f90,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f96,plain,
! [X0] :
( ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) )
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) )
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
( ( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1) )
& k1_rlvect_1(sK0) != k2_group_1(sK0)
& m1_subset_1(sK2,u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v3_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v6_rlvect_1(sK1)
& v5_vectsp_2(sK1,sK0)
& l1_vectsp_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v3_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v6_rlvect_1(sK0)
& v4_group_1(sK0)
& v6_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& l3_vectsp_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f60]) ).
fof(f118,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f119,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f120,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f121,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f122,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f123,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f124,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f125,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f126,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f127,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f128,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f129,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f130,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f131,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f132,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f133,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f134,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f135,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f99]) ).
fof(f136,plain,
k1_rlvect_1(sK0) != k2_group_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f137,plain,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f167,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f168,plain,
! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f169,plain,
! [X0] :
( ~ l2_vectsp_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f186,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f189,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f190,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rlvect_1(X1) != X3
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rlvect_1(X1) != X2
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f194,plain,
! [X3,X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X3),X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f193]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| k1_rlvect_1(X0) = k2_group_1(X0)
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f192]) ).
fof(f197,definition,
( spl21_1
<=> v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f199,plain,
( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl21_2
<=> v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f203,plain,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f137,f201,f197]) ).
fof(f216,plain,
l2_vectsp_1(sK0),
inference(resolution,[],[f190,f118]) ).
fof(f219,plain,
l2_struct_0(sK0),
inference(resolution,[],[f216,f169]) ).
fof(f224,plain,
l1_struct_0(sK0),
inference(resolution,[],[f219,f168]) ).
fof(f241,plain,
( l1_rlvect_1(sK1)
| ~ l1_struct_0(sK0) ),
inference(resolution,[],[f189,f128]) ).
fof(f246,plain,
l1_rlvect_1(sK1),
inference(forward_subsumption_resolution,[],[f241,f224]) ).
fof(f247,plain,
l2_struct_0(sK1),
inference(resolution,[],[f246,f167]) ).
fof(f342,plain,
( k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(resolution,[],[f195,f203]) ).
fof(f343,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f342,f136]) ).
fof(f344,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f343,f135]) ).
fof(f345,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f344,f134]) ).
fof(f346,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f345,f133]) ).
fof(f347,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f346,f132]) ).
fof(f348,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f347,f131]) ).
fof(f349,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f348,f130]) ).
fof(f350,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f349,f129]) ).
fof(f351,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f350,f128]) ).
fof(f352,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f351,f127]) ).
fof(f353,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f352,f126]) ).
fof(f354,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f353,f125]) ).
fof(f355,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f354,f124]) ).
fof(f356,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f355,f123]) ).
fof(f357,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f356,f122]) ).
fof(f358,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f357,f121]) ).
fof(f359,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f358,f120]) ).
fof(f360,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l3_vectsp_1(sK0)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f359,f119]) ).
fof(f361,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f360,f118]) ).
fof(f362,plain,
( ~ l2_struct_0(sK1)
| ~ spl21_2 ),
inference(resolution,[],[f361,f186]) ).
fof(f363,plain,
( $false
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f362,f247]) ).
fof(f364,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f365,plain,
( k1_rlvect_1(sK0) = k2_group_1(sK0)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(resolution,[],[f199,f194]) ).
fof(f366,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f365,f136]) ).
fof(f367,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f366,f135]) ).
fof(f368,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f367,f134]) ).
fof(f369,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f368,f133]) ).
fof(f370,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f369,f132]) ).
fof(f371,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f370,f131]) ).
fof(f372,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f371,f130]) ).
fof(f373,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f372,f129]) ).
fof(f374,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f373,f128]) ).
fof(f375,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f374,f127]) ).
fof(f376,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f375,f126]) ).
fof(f377,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f376,f125]) ).
fof(f378,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f377,f124]) ).
fof(f379,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f378,f123]) ).
fof(f380,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f379,f122]) ).
fof(f381,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f380,f121]) ).
fof(f382,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f381,f120]) ).
fof(f383,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l3_vectsp_1(sK0)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f382,f119]) ).
fof(f384,plain,
( ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f383,f118]) ).
fof(f385,plain,
( ~ l2_struct_0(sK1)
| ~ spl21_1 ),
inference(resolution,[],[f384,f186]) ).
fof(f386,plain,
( $false
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f385,f247]) ).
fof(f387,plain,
~ spl21_1,
inference(avatar_contradiction_clause,[],[f386]) ).
cnf(s1,plain,
( spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f204]) ).
cnf(s5,plain,
~ spl21_2,
inference(sat_conversion,[],[f364]) ).
cnf(s6,plain,
~ spl21_1,
inference(sat_conversion,[],[f387]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s5,s6]) ).
fof(f388,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG216+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 % Computer : n010.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 19:45:17 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32 Running first-order model finding
% 0.26/0.32 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
% 0.46/0.38 % (2244950)Will run a generic schedule for satisfiability detection.
% 0.46/0.38 % (2244957)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2616344293:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.46/0.38 % (2244956)% WARNING: option uhcvi not known.
% 0.46/0.38 % (2244956)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3302313019:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.46/0.38 % (2244955)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3379954501_2999 on theBenchmark for (2999ds/0Mi)
% 0.46/0.38 % (2244958)dis+10_1_sil=32000:sp=arity:random_seed=774089553:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.46/0.38 % (2244959)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=744888414:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.46/0.38 % (2244960)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=908689300:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.46/0.38 % (2244961)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3805077557:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.46/0.38 % TRYING [1]
% 0.46/0.38 % TRYING [2]
% 0.46/0.38 % (2244958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2244950-2244958"...
% 0.46/0.38 % TRYING [3]
% 0.46/0.38 % (2244958)...printing done.
% 0.46/0.38 % TRYING [4]
% 0.46/0.38 % (2244958)Refutation found. Thanks to Tanya!
% 0.46/0.38 % SZS status Theorem for theBenchmark
% 0.46/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.38 % (2244958)------------------------------
% 0.46/0.38 % (2244958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.38 % (2244958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.38 % (2244958)CaDiCaL version: 2.1.3
% 0.46/0.38 % (2244958)Termination reason: Refutation
% 0.46/0.38 % (2244958)Time elapsed: 0.015 s
% 0.46/0.38 % (2244958)Peak memory usage: 12 MB
% 0.46/0.38 % (2244958)Instructions burned: 12 (million)
% 0.46/0.38 % (2244950)Success in time 0.054 s
% 0.46/0.38 % Vampire exiting
%------------------------------------------------------------------------------