%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG216+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:19:21 AM UTC 2026
% Result : Theorem 22.51s 4.38s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 9
% Syntax : Number of formulae : 122 ( 27 unt; 4 def)
% Number of atoms : 1043 ( 42 equ)
% Maximal formula atoms : 23 ( 8 avg)
% Number of connectives : 1629 ( 708 ~; 745 |; 155 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 103 ( 0 sgn 97 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9925,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) )
=> k5_rmod_4(X0,X1,k3_rmod_4(X0,X1)) = k1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_rmod_4) ).
fof(f9979,axiom,
! [X0,X1] :
( ( ~ 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)
& ~ 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) )
=> m1_rmod_4(k3_rmod_4(X0,X1),X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_rmod_4) ).
fof(f9981,axiom,
! [X0,X1,X2] :
( ( ~ 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)
& ~ 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)
& m1_rmod_4(X2,X0,X1) )
=> m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_rmod_4) ).
fof(f9995,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/sandbox/benchmark/theBenchmark.p',t5_rmod_5) ).
fof(f9996,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/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).
fof(f9997,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)],[f9996]) ).
fof(f10050,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,[],[f9995]) ).
fof(f10051,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,[],[f10050]) ).
fof(f10052,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,[],[f9997]) ).
fof(f10053,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,[],[f10052]) ).
fof(f10173,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| 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)
| 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)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(ennf_transformation,[],[f9981]) ).
fof(f10174,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| 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)
| 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)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(flattening,[],[f10173]) ).
fof(f10762,plain,
! [X0,X1] :
( m1_rmod_4(k3_rmod_4(X0,X1),X0,X1)
| 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)
| 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) ),
inference(ennf_transformation,[],[f9979]) ).
fof(f10763,plain,
! [X0,X1] :
( m1_rmod_4(k3_rmod_4(X0,X1),X0,X1)
| 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)
| 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) ),
inference(flattening,[],[f10762]) ).
fof(f10768,plain,
! [X0] :
( ! [X1] :
( k5_rmod_4(X0,X1,k3_rmod_4(X0,X1)) = k1_rlvect_1(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,[],[f9925]) ).
fof(f10769,plain,
! [X0] :
( ! [X1] :
( k5_rmod_4(X0,X1,k3_rmod_4(X0,X1)) = k1_rlvect_1(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,[],[f10768]) ).
fof(f13605,plain,
( ( v1_rmod_5(k8_rlvect_2(sK28,sK29,k1_rlvect_1(sK28)),sK27,sK28)
| v1_rmod_5(k8_rlvect_2(sK28,k1_rlvect_1(sK28),sK29),sK27,sK28) )
& k1_rlvect_1(sK27) != k2_group_1(sK27)
& m1_subset_1(sK29,u1_struct_0(sK28))
& ~ v3_struct_0(sK28)
& v3_rlvect_1(sK28)
& v4_rlvect_1(sK28)
& v5_rlvect_1(sK28)
& v6_rlvect_1(sK28)
& v5_vectsp_2(sK28,sK27)
& l1_vectsp_2(sK28,sK27)
& ~ v3_struct_0(sK27)
& v3_rlvect_1(sK27)
& v4_rlvect_1(sK27)
& v5_rlvect_1(sK27)
& v6_rlvect_1(sK27)
& v4_group_1(sK27)
& v6_vectsp_1(sK27)
& v7_vectsp_1(sK27)
& v8_vectsp_1(sK27)
& l3_vectsp_1(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28,sK29]),skolemize(X0,sK27),skolemize(X1,sK28),skolemize(X2,sK29)],[f10053]) ).
fof(f14755,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,[],[f10051]) ).
fof(f14756,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,[],[f10051]) ).
fof(f14757,plain,
l3_vectsp_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14758,plain,
v8_vectsp_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14759,plain,
v7_vectsp_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14760,plain,
v6_vectsp_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14761,plain,
v4_group_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14762,plain,
v6_rlvect_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14763,plain,
v5_rlvect_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14764,plain,
v4_rlvect_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14765,plain,
v3_rlvect_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14766,plain,
~ v3_struct_0(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14767,plain,
l1_vectsp_2(sK28,sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14768,plain,
v5_vectsp_2(sK28,sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14769,plain,
v6_rlvect_1(sK28),
inference(cnf_transformation,[],[f13605]) ).
fof(f14770,plain,
v5_rlvect_1(sK28),
inference(cnf_transformation,[],[f13605]) ).
fof(f14771,plain,
v4_rlvect_1(sK28),
inference(cnf_transformation,[],[f13605]) ).
fof(f14772,plain,
v3_rlvect_1(sK28),
inference(cnf_transformation,[],[f13605]) ).
fof(f14773,plain,
~ v3_struct_0(sK28),
inference(cnf_transformation,[],[f13605]) ).
fof(f14774,plain,
m1_subset_1(sK29,u1_struct_0(sK28)),
inference(cnf_transformation,[],[f13605]) ).
fof(f14775,plain,
k1_rlvect_1(sK27) != k2_group_1(sK27),
inference(cnf_transformation,[],[f13605]) ).
fof(f14776,plain,
( v1_rmod_5(k8_rlvect_2(sK28,sK29,k1_rlvect_1(sK28)),sK27,sK28)
| v1_rmod_5(k8_rlvect_2(sK28,k1_rlvect_1(sK28),sK29),sK27,sK28) ),
inference(cnf_transformation,[],[f13605]) ).
fof(f14968,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| ~ l3_vectsp_1(X0)
| 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)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(cnf_transformation,[],[f10174]) ).
fof(f15759,plain,
! [X0,X1] :
( m1_rmod_4(k3_rmod_4(X0,X1),X0,X1)
| 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)
| 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) ),
inference(cnf_transformation,[],[f10763]) ).
fof(f15763,plain,
! [X0,X1] :
( ~ v8_vectsp_1(X0)
| 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)
| k1_rlvect_1(X1) = k5_rmod_4(X0,X1,k3_rmod_4(X0,X1))
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f10769]) ).
fof(f20951,plain,
! [X3,X0,X1] :
( ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_rlvect_1(X0) = k2_group_1(X0)
| 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,[],[f14756]) ).
fof(f20952,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(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(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,[],[f14755]) ).
fof(f21749,definition,
( spl732_41
<=> v1_rmod_5(k8_rlvect_2(sK28,k1_rlvect_1(sK28),sK29),sK27,sK28) ),
introduced(definition,[new_symbols(definition,[spl732_41])],[avatar_definition]) ).
fof(f21750,plain,
( v1_rmod_5(k8_rlvect_2(sK28,k1_rlvect_1(sK28),sK29),sK27,sK28)
| ~ spl732_41 ),
inference(avatar_component_clause,[],[f21749]) ).
fof(f21752,definition,
( spl732_42
<=> v1_rmod_5(k8_rlvect_2(sK28,sK29,k1_rlvect_1(sK28)),sK27,sK28) ),
introduced(definition,[new_symbols(definition,[spl732_42])],[avatar_definition]) ).
fof(f21753,plain,
( v1_rmod_5(k8_rlvect_2(sK28,sK29,k1_rlvect_1(sK28)),sK27,sK28)
| ~ spl732_42 ),
inference(avatar_component_clause,[],[f21752]) ).
fof(f21754,plain,
( spl732_41
| spl732_42 ),
inference(avatar_split_clause,[],[f14776,f21752,f21749]) ).
fof(f21971,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(resolution,[],[f15763,f14758]) ).
fof(f21972,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21971,f14766]) ).
fof(f21973,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21972,f14765]) ).
fof(f21974,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21973,f14764]) ).
fof(f21975,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21974,f14763]) ).
fof(f21976,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21975,f14762]) ).
fof(f21977,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21976,f14761]) ).
fof(f21978,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v7_vectsp_1(sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21977,f14760]) ).
fof(f21979,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21978,f14759]) ).
fof(f21980,plain,
! [X0] :
( ~ v5_vectsp_2(X0,sK27)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X0,sK27)
| k1_rlvect_1(X0) = k5_rmod_4(sK27,X0,k3_rmod_4(sK27,X0)) ),
inference(forward_subsumption_resolution,[],[f21979,f14757]) ).
fof(f21981,plain,
( ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| v3_struct_0(sK28)
| ~ l1_vectsp_2(sK28,sK27)
| k1_rlvect_1(sK28) = k5_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28)) ),
inference(resolution,[],[f21980,f14768]) ).
fof(f21982,plain,
( ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| v3_struct_0(sK28)
| ~ l1_vectsp_2(sK28,sK27)
| k1_rlvect_1(sK28) = k5_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28)) ),
inference(forward_subsumption_resolution,[],[f21981,f14772]) ).
fof(f21983,plain,
( ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| v3_struct_0(sK28)
| ~ l1_vectsp_2(sK28,sK27)
| k1_rlvect_1(sK28) = k5_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28)) ),
inference(forward_subsumption_resolution,[],[f21982,f14771]) ).
fof(f21984,plain,
( ~ v6_rlvect_1(sK28)
| v3_struct_0(sK28)
| ~ l1_vectsp_2(sK28,sK27)
| k1_rlvect_1(sK28) = k5_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28)) ),
inference(forward_subsumption_resolution,[],[f21983,f14770]) ).
fof(f21985,plain,
( v3_struct_0(sK28)
| ~ l1_vectsp_2(sK28,sK27)
| k1_rlvect_1(sK28) = k5_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28)) ),
inference(forward_subsumption_resolution,[],[f21984,f14769]) ).
fof(f21986,plain,
( ~ l1_vectsp_2(sK28,sK27)
| k1_rlvect_1(sK28) = k5_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28)) ),
inference(forward_subsumption_resolution,[],[f21985,f14773]) ).
fof(f21987,plain,
k1_rlvect_1(sK28) = k5_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28)),
inference(forward_subsumption_resolution,[],[f21986,f14767]) ).
fof(f22305,plain,
! [X0,X1] :
( v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(resolution,[],[f14968,f14758]) ).
fof(f22306,plain,
! [X0,X1] :
( ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22305,f14766]) ).
fof(f22307,plain,
! [X0,X1] :
( ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22306,f14765]) ).
fof(f22308,plain,
! [X0,X1] :
( ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22307,f14764]) ).
fof(f22309,plain,
! [X0,X1] :
( ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22308,f14763]) ).
fof(f22310,plain,
! [X0,X1] :
( ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22309,f14762]) ).
fof(f22311,plain,
! [X0,X1] :
( ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22310,f14761]) ).
fof(f22312,plain,
! [X0,X1] :
( ~ v7_vectsp_1(sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22311,f14760]) ).
fof(f22313,plain,
! [X0,X1] :
( m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22312,f14759]) ).
fof(f22314,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| m1_subset_1(k5_rmod_4(sK27,X0,X1),u1_struct_0(X0))
| ~ m1_rmod_4(X1,sK27,X0) ),
inference(forward_subsumption_resolution,[],[f22313,f14757]) ).
fof(f22315,plain,
! [X0] :
( v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| m1_subset_1(k5_rmod_4(sK27,sK28,X0),u1_struct_0(sK28))
| ~ m1_rmod_4(X0,sK27,sK28) ),
inference(resolution,[],[f22314,f14767]) ).
fof(f22316,plain,
! [X0] :
( ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| m1_subset_1(k5_rmod_4(sK27,sK28,X0),u1_struct_0(sK28))
| ~ m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f22315,f14773]) ).
fof(f22317,plain,
! [X0] :
( ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| m1_subset_1(k5_rmod_4(sK27,sK28,X0),u1_struct_0(sK28))
| ~ m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f22316,f14772]) ).
fof(f22318,plain,
! [X0] :
( ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| m1_subset_1(k5_rmod_4(sK27,sK28,X0),u1_struct_0(sK28))
| ~ m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f22317,f14771]) ).
fof(f22319,plain,
! [X0] :
( ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| m1_subset_1(k5_rmod_4(sK27,sK28,X0),u1_struct_0(sK28))
| ~ m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f22318,f14770]) ).
fof(f22320,plain,
! [X0] :
( ~ v5_vectsp_2(sK28,sK27)
| m1_subset_1(k5_rmod_4(sK27,sK28,X0),u1_struct_0(sK28))
| ~ m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f22319,f14769]) ).
fof(f22321,plain,
! [X0] :
( m1_subset_1(k5_rmod_4(sK27,sK28,X0),u1_struct_0(sK28))
| ~ m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f22320,f14768]) ).
fof(f22323,plain,
( m1_subset_1(k1_rlvect_1(sK28),u1_struct_0(sK28))
| ~ m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28) ),
inference(superposition,[],[f22321,f21987]) ).
fof(f22325,definition,
( spl732_63
<=> m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28) ),
introduced(definition,[new_symbols(definition,[spl732_63])],[avatar_definition]) ).
fof(f22326,plain,
( ~ m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28)
| spl732_63 ),
inference(avatar_component_clause,[],[f22325]) ).
fof(f22328,definition,
( spl732_64
<=> m1_subset_1(k1_rlvect_1(sK28),u1_struct_0(sK28)) ),
introduced(definition,[new_symbols(definition,[spl732_64])],[avatar_definition]) ).
fof(f22329,plain,
( m1_subset_1(k1_rlvect_1(sK28),u1_struct_0(sK28))
| ~ spl732_64 ),
inference(avatar_component_clause,[],[f22328]) ).
fof(f22330,plain,
( ~ spl732_63
| spl732_64 ),
inference(avatar_split_clause,[],[f22323,f22328,f22325]) ).
fof(f22332,plain,
( v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(resolution,[],[f22326,f15759]) ).
fof(f22334,plain,
( ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22332,f14766]) ).
fof(f22335,plain,
( ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22334,f14765]) ).
fof(f22336,plain,
( ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22335,f14764]) ).
fof(f22337,plain,
( ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22336,f14763]) ).
fof(f22338,plain,
( ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22337,f14762]) ).
fof(f22339,plain,
( ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22338,f14761]) ).
fof(f22340,plain,
( ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22339,f14760]) ).
fof(f22341,plain,
( ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22340,f14759]) ).
fof(f22342,plain,
( ~ l3_vectsp_1(sK27)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22341,f14758]) ).
fof(f22343,plain,
( v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22342,f14757]) ).
fof(f22344,plain,
( ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22343,f14773]) ).
fof(f22345,plain,
( ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22344,f14772]) ).
fof(f22346,plain,
( ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22345,f14771]) ).
fof(f22347,plain,
( ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22346,f14770]) ).
fof(f22348,plain,
( ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22347,f14769]) ).
fof(f22349,plain,
( ~ l1_vectsp_2(sK28,sK27)
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22348,f14768]) ).
fof(f22350,plain,
( $false
| spl732_63 ),
inference(forward_subsumption_resolution,[],[f22349,f14767]) ).
fof(f22351,plain,
spl732_63,
inference(avatar_contradiction_clause,[],[f22350]) ).
fof(f22352,plain,
( $false
| ~ spl732_41
| ~ spl732_64 ),
inference(unit_resulting_resolution,[],[f20951,f14757,f14758,f14759,f14760,f14761,f14762,f14763,f14764,f14765,f14766,f14772,f14773,f14769,f14770,f14771,f14767,f14768,f14774,f14775,f21750,f22329]) ).
fof(f22358,plain,
( ~ spl732_41
| ~ spl732_64 ),
inference(avatar_contradiction_clause,[],[f22352]) ).
fof(f22386,plain,
( $false
| ~ spl732_42
| ~ spl732_64 ),
inference(unit_resulting_resolution,[],[f20952,f14757,f14758,f14759,f14760,f14761,f14762,f14763,f14764,f14765,f14766,f14772,f14773,f14769,f14770,f14771,f14767,f14768,f14774,f14775,f22329,f21753]) ).
fof(f22387,plain,
( ~ spl732_42
| ~ spl732_64 ),
inference(avatar_contradiction_clause,[],[f22386]) ).
cnf(s47,plain,
( spl732_41
| spl732_42 ),
inference(sat_conversion,[],[f21754]) ).
cnf(s65,plain,
( ~ spl732_63
| spl732_64 ),
inference(sat_conversion,[],[f22330]) ).
cnf(s67,plain,
spl732_63,
inference(sat_conversion,[],[f22351]) ).
cnf(s68,plain,
( ~ spl732_41
| ~ spl732_64 ),
inference(sat_conversion,[],[f22358]) ).
cnf(s70,plain,
( ~ spl732_42
| ~ spl732_64 ),
inference(sat_conversion,[],[f22387]) ).
cnf(s71,plain,
spl732_64,
inference(rat,[],[s65,s67]) ).
cnf(s72,plain,
~ spl732_42,
inference(rat,[],[s70,s71]) ).
cnf(s73,plain,
~ spl732_41,
inference(rat,[],[s68,s71]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s47,s72,s73]) ).
fof(f22388,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG216+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n020.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 19:46:06 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.35/3.81 % (466451)Detected formulas, will run a generic FOF schedule.
% 22.35/3.81 % (466499)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=271284772:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 22.35/3.81 % (466497)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3792617202:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 22.35/3.81 % (466500)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4253583881:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 22.35/3.81 % (466501)dis-21_1_sil=8000:lcm=predicate:random_seed=1919873346:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 22.35/3.81 % (466496)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=556194381:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 22.35/3.81 % (466495)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2580670947:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 22.35/3.81 % (466494)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2771363317:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 22.35/3.81 % (466497)Refutation not found, incomplete strategy
% 22.35/3.81 % (466497)------------------------------
% 22.35/3.81 % (466497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.81 % (466497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.81 % (466497)CaDiCaL version: 2.1.3
% 22.35/3.81 % (466497)Termination reason: Refutation not found, incomplete strategy
% 22.35/3.81 % (466497)Time elapsed: 0.047 s
% 22.35/3.81 % (466497)Peak memory usage: 101 MB
% 22.35/3.81 % (466497)Instructions burned: 63 (million)
% 22.35/3.81 % (466500)Instruction limit reached!
% 22.35/3.81 % (466500)------------------------------
% 22.35/3.81 % (466500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.81 % (466500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.81 % (466500)CaDiCaL version: 2.1.3
% 22.35/3.81 % (466500)Termination reason: Instruction limit
% 22.35/3.81 % (466500)Termination phase: SInE selection
% 22.35/3.81 % (466500)Time elapsed: 0.067 s
% 22.35/3.81 % (466500)Peak memory usage: 97 MB
% 22.35/3.81 % (466500)Instructions burned: 140 (million)
% 22.35/3.81 % (466499)Instruction limit reached!
% 22.35/3.81 % (466499)------------------------------
% 22.35/3.81 % (466499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.81 % (466499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.81 % (466499)CaDiCaL version: 2.1.3
% 22.35/3.81 % (466499)Termination reason: Instruction limit
% 22.35/3.81 % (466499)Termination phase: Property scanning
% 22.35/3.81 % (466499)Time elapsed: 0.088 s
% 22.35/3.81 % (466499)Peak memory usage: 100 MB
% 22.35/3.81 % (466499)Instructions burned: 119 (million)
% 22.35/3.81 % (466501)Instruction limit reached!
% 22.35/3.81 % (466501)------------------------------
% 22.35/3.81 % (466501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.35/3.81 % (466501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.35/3.81 % (466501)CaDiCaL version: 2.1.3
% 22.35/3.81 % (466501)Termination reason: Instruction limit
% 22.35/3.81 % (466501)Termination phase: Unused predicate definition removal
% 22.35/3.81 % (466501)Time elapsed: 0.116 s
% 22.35/3.81 % (466501)Peak memory usage: 98 MB
% 22.35/3.81 % (466501)Instructions burned: 129 (million)
% 22.35/3.81 % (466565)lrs+10_1_sil=8000:sp=occurrence:random_seed=1991796637:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 22.35/3.81 % (466570)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2084699314:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 22.35/3.81 % (466497)------------------------------
% 22.35/3.81 % (466497)------------------------------
% 22.35/3.81 % (466575)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1227547117:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 22.35/3.81 % (466575)Refutation not found, incomplete strategy
% 22.35/3.81 % (466575)------------------------------
% 22.35/3.81 % (466575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466575)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466575)Termination reason: Refutation not found, incomplete strategy
% 22.51/4.38 % (466575)Time elapsed: 0.046 s
% 22.51/4.38 % (466575)Peak memory usage: 101 MB
% 22.51/4.38 % (466575)Instructions burned: 55 (million)
% 22.51/4.38 % (466570)Instruction limit reached!
% 22.51/4.38 % (466570)------------------------------
% 22.51/4.38 % (466570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466570)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466570)Termination reason: Instruction limit
% 22.51/4.38 % (466570)Termination phase: SInE selection
% 22.51/4.38 % (466570)Time elapsed: 0.106 s
% 22.51/4.38 % (466570)Peak memory usage: 97 MB
% 22.51/4.38 % (466570)Instructions burned: 157 (million)
% 22.51/4.38 % (466565)Instruction limit reached!
% 22.51/4.38 % (466565)------------------------------
% 22.51/4.38 % (466565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466565)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466565)Termination reason: Instruction limit
% 22.51/4.38 % (466565)Termination phase: Saturation
% 22.51/4.38 % (466565)Time elapsed: 0.180 s
% 22.51/4.38 % (466565)Peak memory usage: 104 MB
% 22.51/4.38 % (466565)Instructions burned: 286 (million)
% 22.51/4.38 % (466605)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3362454144:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 22.51/4.38 % (466608)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=467997543:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 22.51/4.38 % (466575)------------------------------
% 22.51/4.38 % (466575)------------------------------
% 22.51/4.38 % (466605)Instruction limit reached!
% 22.51/4.38 % (466605)------------------------------
% 22.51/4.38 % (466605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466605)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466605)Termination reason: Instruction limit
% 22.51/4.38 % (466605)Termination phase: Preprocessing 1
% 22.51/4.38 % (466605)Time elapsed: 0.144 s
% 22.51/4.38 % (466605)Peak memory usage: 97 MB
% 22.51/4.38 % (466605)Instructions burned: 248 (million)
% 22.51/4.38 % (466607)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=221878452:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 22.51/4.38 % (466612)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=567767031:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 22.51/4.38 % (466613)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3520249381:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 22.51/4.38 % (466607)Instruction limit reached!
% 22.51/4.38 % (466607)------------------------------
% 22.51/4.38 % (466607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466607)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466607)Termination reason: Instruction limit
% 22.51/4.38 % (466607)Termination phase: Saturation
% 22.51/4.38 % (466607)Time elapsed: 0.199 s
% 22.51/4.38 % (466607)Peak memory usage: 105 MB
% 22.51/4.38 % (466607)Instructions burned: 295 (million)
% 22.51/4.38 % (466612)Instruction limit reached!
% 22.51/4.38 % (466612)------------------------------
% 22.51/4.38 % (466612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466612)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466612)Termination reason: Instruction limit
% 22.51/4.38 % (466612)Termination phase: Preprocessing 3
% 22.51/4.38 % (466612)Time elapsed: 0.102 s
% 22.51/4.38 % (466612)Peak memory usage: 100 MB
% 22.51/4.38 % (466612)Instructions burned: 113 (million)
% 22.51/4.38 % (466613)Instruction limit reached!
% 22.51/4.38 % (466613)------------------------------
% 22.51/4.38 % (466613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466613)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466613)Termination reason: Instruction limit
% 22.51/4.38 % (466613)Termination phase: Naming
% 22.51/4.38 % (466613)Time elapsed: 0.119 s
% 22.51/4.38 % (466613)Peak memory usage: 106 MB
% 22.51/4.38 % (466613)Instructions burned: 128 (million)
% 22.51/4.38 % (466616)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4204916001:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 22.51/4.38 % (466632)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3954063106:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 22.51/4.38 % (466631)lrs+10_1_sil=8000:sp=occurrence:random_seed=1802450075:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 22.51/4.38 % (466616)Instruction limit reached!
% 22.51/4.38 % (466616)------------------------------
% 22.51/4.38 % (466616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466616)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466616)Termination reason: Instruction limit
% 22.51/4.38 % (466616)Termination phase: Property scanning
% 22.51/4.38 % (466616)Time elapsed: 0.094 s
% 22.51/4.38 % (466616)Peak memory usage: 96 MB
% 22.51/4.38 % (466616)Instructions burned: 116 (million)
% 22.51/4.38 % (466632)Instruction limit reached!
% 22.51/4.38 % (466632)------------------------------
% 22.51/4.38 % (466632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466632)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466632)Termination reason: Instruction limit
% 22.51/4.38 % (466632)Termination phase: Saturation
% 22.51/4.38 % (466632)Time elapsed: 0.348 s
% 22.51/4.38 % (466632)Peak memory usage: 102 MB
% 22.51/4.38 % (466632)Instructions burned: 438 (million)
% 22.51/4.38 % (466644)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=870613651:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 22.51/4.38 % (466652)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2648748187:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 22.51/4.38 % (466652)Instruction limit reached!
% 22.51/4.38 % (466652)------------------------------
% 22.51/4.38 % (466652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466652)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466652)Termination reason: Instruction limit
% 22.51/4.38 % (466652)Termination phase: Saturation
% 22.51/4.38 % (466652)Time elapsed: 0.144 s
% 22.51/4.38 % (466652)Peak memory usage: 103 MB
% 22.51/4.38 % (466652)Instructions burned: 135 (million)
% 22.51/4.38 % (466631)Instruction limit reached!
% 22.51/4.38 % (466631)------------------------------
% 22.51/4.38 % (466631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466631)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466631)Termination reason: Instruction limit
% 22.51/4.38 % (466631)Termination phase: Saturation
% 22.51/4.38 % (466631)Time elapsed: 0.842 s
% 22.51/4.38 % (466631)Peak memory usage: 116 MB
% 22.51/4.38 % (466631)Instructions burned: 907 (million)
% 22.51/4.38 % (466658)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=131357956:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 22.51/4.38 % (466659)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3381660667:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 22.51/4.38 % (466658)Instruction limit reached!
% 22.51/4.38 % (466658)------------------------------
% 22.51/4.38 % (466658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466658)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466658)Termination reason: Instruction limit
% 22.51/4.38 % (466658)Termination phase: Property scanning
% 22.51/4.38 % (466658)Time elapsed: 0.578 s
% 22.51/4.38 % (466658)Peak memory usage: 113 MB
% 22.51/4.38 % (466658)Instructions burned: 592 (million)
% 22.51/4.38 % (466672)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=101038649:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/125Mi)
% 22.51/4.38 % (466608)Instruction limit reached!
% 22.51/4.38 % (466608)------------------------------
% 22.51/4.38 % (466608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466608)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466608)Termination reason: Instruction limit
% 22.51/4.38 % (466608)Termination phase: Saturation
% 22.51/4.38 % (466608)Time elapsed: 2.476 s
% 22.51/4.38 % (466608)Peak memory usage: 326 MB
% 22.51/4.38 % (466608)Instructions burned: 2351 (million)
% 22.51/4.38 % (466495)First to succeed.
% 22.51/4.38 % (466495)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-466451"
% 22.51/4.38 % (466672)Instruction limit reached!
% 22.51/4.38 % (466672)------------------------------
% 22.51/4.38 % (466672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466672)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466672)Termination reason: Instruction limit
% 22.51/4.38 % (466672)Termination phase: SInE selection
% 22.51/4.38 % (466672)Time elapsed: 0.107 s
% 22.51/4.38 % (466672)Peak memory usage: 97 MB
% 22.51/4.38 % (466672)Instructions burned: 125 (million)
% 22.51/4.38 % (466496)Also succeeded, but the first one will report.
% 22.51/4.38 % (466674)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3055945058:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 22.51/4.38 % (466675)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2503670397:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 22.51/4.38 % (466675)Refutation not found, incomplete strategy
% 22.51/4.38 % (466675)------------------------------
% 22.51/4.38 % (466675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466675)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466675)Termination reason: Refutation not found, incomplete strategy
% 22.51/4.38 % (466675)Time elapsed: 0.067 s
% 22.51/4.38 % (466675)Peak memory usage: 101 MB
% 22.51/4.38 % (466675)Instructions burned: 56 (million)
% 22.51/4.38 % (466674)Instruction limit reached!
% 22.51/4.38 % (466674)------------------------------
% 22.51/4.38 % (466674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.51/4.38 % (466674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.38 % (466674)CaDiCaL version: 2.1.3
% 22.51/4.38 % (466674)Termination reason: Instruction limit
% 22.51/4.38 % (466674)Termination phase: Initialization
% 22.51/4.38 % (466674)Time elapsed: 0.115 s
% 22.51/4.38 % (466674)Peak memory usage: 97 MB
% 22.51/4.38 % (466674)Instructions burned: 134 (million)
% 22.51/4.38 % (466495)Refutation found. Thanks to Tanya!
% 22.51/4.38 % SZS status Theorem for theBenchmark
% 22.51/4.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/4.61 % (466495)------------------------------
% 0.23/4.61 % (466495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/4.61 % (466495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/4.61 % (466495)CaDiCaL version: 2.1.3
% 0.23/4.61 % (466495)Termination reason: Refutation
% 0.23/4.61 % (466495)Time elapsed: 3.078 s
% 0.23/4.61 % (466495)Peak memory usage: 194 MB
% 0.23/4.61 % (466495)Instructions burned: 3629 (million)
% 0.23/4.61 % (466495)------------------------------
% 0.23/4.61 % (466495)------------------------------
% 0.23/4.61 % (466451)Success in time 3.913 s
% 0.23/4.61 % Vampire exiting
%------------------------------------------------------------------------------