%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG220+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:19:24 AM UTC 2026
% Result : Theorem 0.64s 0.95s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 5
% Syntax : Number of formulae : 113 ( 28 unt; 0 def)
% Number of atoms : 1581 ( 50 equ)
% Maximal formula atoms : 42 ( 13 avg)
% Number of connectives : 2605 (1137 ~;1232 |; 214 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 16 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 164 ( 156 !; 8 ?)
% 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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(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)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3) )
=> k1_rmod_5(X0,X1,X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(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)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3) )
=> k1_rmod_5(X0,X1,X3) = X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(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_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f22,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) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_rmod_2) ).
fof(f61,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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(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,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r1_tarski(X2,X3)
=> m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f64,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)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v3_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
=> ( ( m1_rmod_2(X2,X0,X1)
& m1_rmod_2(X1,X0,X2) )
=> X2 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_rmod_2) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& 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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f73,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& 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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f72]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X1
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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,[],[f64]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X1
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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,[],[f75]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(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_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f9]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(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_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f86]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
| ~ m1_rmod_2(X2,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,[],[f22]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
| ~ m1_rmod_2(X2,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,[],[f95]) ).
fof(f99,plain,
( sK1 != k1_rmod_5(sK0,sK1,sK3)
& sK1 = k1_rmod_5(sK0,sK1,sK2)
& r1_tarski(sK2,sK3)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v3_struct_0(sK1)
& v3_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v6_rlvect_1(sK1)
& v3_vectsp_2(sK1,sK0)
& 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)
& v7_group_1(sK0)
& v6_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& ~ v10_vectsp_1(sK0)
& v2_vectsp_2(sK0)
& l3_vectsp_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f73]) ).
fof(f117,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f118,plain,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f119,plain,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f120,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f121,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f122,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f123,plain,
v7_group_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f124,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f125,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f126,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f127,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f128,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f129,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f130,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f131,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f132,plain,
v3_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f133,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f134,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f135,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f136,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f137,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f138,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f99]) ).
fof(f139,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f99]) ).
fof(f140,plain,
r1_tarski(sK2,sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f141,plain,
sK1 = k1_rmod_5(sK0,sK1,sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f142,plain,
sK1 != k1_rmod_5(sK0,sK1,sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f144,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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,[],[f76]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f161,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(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_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f162,plain,
! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(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_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| l1_vectsp_2(X2,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)
| 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,[],[f96]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| v5_vectsp_2(X2,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)
| 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,[],[f96]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| v6_rlvect_1(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) ),
inference(cnf_transformation,[],[f96]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| v5_rlvect_1(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) ),
inference(cnf_transformation,[],[f96]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| v4_rlvect_1(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) ),
inference(cnf_transformation,[],[f96]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| v3_rlvect_1(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) ),
inference(cnf_transformation,[],[f96]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| ~ v3_struct_0(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) ),
inference(cnf_transformation,[],[f96]) ).
fof(f288,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(superposition,[],[f160,f141]) ).
fof(f297,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f288,f138]) ).
fof(f298,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f297,f137]) ).
fof(f299,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f298,f136]) ).
fof(f300,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f299,f135]) ).
fof(f301,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f300,f134]) ).
fof(f302,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f301,f133]) ).
fof(f303,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f302,f131]) ).
fof(f304,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(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)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f303,f130]) ).
fof(f305,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f304,f129]) ).
fof(f306,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f305,f128]) ).
fof(f307,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f306,f127]) ).
fof(f308,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f307,f126]) ).
fof(f309,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f308,f125]) ).
fof(f310,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f309,f124]) ).
fof(f311,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f310,f123]) ).
fof(f312,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f311,f122]) ).
fof(f313,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f312,f121]) ).
fof(f314,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f313,f120]) ).
fof(f315,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f314,f119]) ).
fof(f316,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f315,f118]) ).
fof(f317,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f316,f117]) ).
fof(f344,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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(forward_subsumption_resolution,[],[f144,f195]) ).
fof(f345,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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(forward_subsumption_resolution,[],[f344,f194]) ).
fof(f346,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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(forward_subsumption_resolution,[],[f345,f193]) ).
fof(f347,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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(forward_subsumption_resolution,[],[f346,f192]) ).
fof(f348,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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(forward_subsumption_resolution,[],[f347,f191]) ).
fof(f349,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| ~ v3_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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(forward_subsumption_resolution,[],[f348,f190]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| X1 = X2
| ~ m1_rmod_2(X1,X0,X2)
| ~ v3_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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(forward_subsumption_resolution,[],[f349,f189]) ).
fof(f353,plain,
! [X2,X0,X1] :
( k1_rmod_5(X1,X0,X2) = X0
| ~ m1_rmod_2(X0,X1,k1_rmod_5(X1,X0,X2))
| ~ v3_vectsp_2(k1_rmod_5(X1,X0,X2),X1)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ l1_vectsp_2(X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,X1)
| ~ l1_vectsp_2(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution,[],[f350,f161]) ).
fof(f361,plain,
! [X2,X0,X1] :
( k1_rmod_5(X1,X0,X2) = X0
| ~ m1_rmod_2(X0,X1,k1_rmod_5(X1,X0,X2))
| ~ v3_vectsp_2(k1_rmod_5(X1,X0,X2),X1)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ l1_vectsp_2(X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v7_group_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f366,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,X1,k1_rmod_5(X1,X0,X2))
| k1_rmod_5(X1,X0,X2) = X0
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ l1_vectsp_2(X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v7_group_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f361,f162]) ).
fof(f529,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v3_vectsp_2(sK1,sK0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f366,f317]) ).
fof(f530,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v3_vectsp_2(sK1,sK0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(duplicate_literal_removal,[],[f529]) ).
fof(f531,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v3_vectsp_2(sK1,sK0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f530,f137]) ).
fof(f532,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v3_vectsp_2(sK1,sK0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f531,f136]) ).
fof(f533,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v3_vectsp_2(sK1,sK0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f532,f135]) ).
fof(f534,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v6_rlvect_1(sK1)
| ~ v3_vectsp_2(sK1,sK0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f533,f134]) ).
fof(f535,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v3_vectsp_2(sK1,sK0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f534,f133]) ).
fof(f536,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f535,f132]) ).
fof(f537,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f536,f131]) ).
fof(f538,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f537,f130]) ).
fof(f539,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f538,f129]) ).
fof(f540,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f539,f128]) ).
fof(f541,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ 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)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f540,f127]) ).
fof(f542,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f541,f126]) ).
fof(f543,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f542,f125]) ).
fof(f544,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f543,f124]) ).
fof(f545,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f544,f122]) ).
fof(f546,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f545,f121]) ).
fof(f547,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ l3_vectsp_1(sK0)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f546,f120]) ).
fof(f548,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v7_group_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f547,f117]) ).
fof(f549,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f548,f123]) ).
fof(f550,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ v2_vectsp_2(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f549,f119]) ).
fof(f551,plain,
! [X0] :
( sK1 = k1_rmod_5(sK0,sK1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f550,f118]) ).
fof(f552,plain,
( sK1 != sK1
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,sK3) ),
inference(superposition,[],[f142,f551]) ).
fof(f582,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,sK3) ),
inference(trivial_inequality_removal,[],[f552]) ).
fof(f584,plain,
~ r1_tarski(sK2,sK3),
inference(forward_subsumption_resolution,[],[f582,f139]) ).
fof(f586,plain,
$false,
inference(forward_subsumption_resolution,[],[f584,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG220+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:49:42 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/0.95 % (4178920)Detected formulas, will run a generic FOF schedule.
% 0.64/0.95 % (4178929)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1976269406:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.64/0.95 % (4178929)First to succeed.
% 0.64/0.95 % (4178929)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4178920"
% 0.64/0.95 % (4178928)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3410493015:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.64/0.95 % (4178928)Refutation not found, incomplete strategy
% 0.64/0.95 % (4178928)------------------------------
% 0.64/0.95 % (4178928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.95 % (4178928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.95 % (4178928)CaDiCaL version: 2.1.3
% 0.64/0.95 % (4178928)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.95 % (4178928)Time elapsed: 0.007 s
% 0.64/0.95 % (4178928)Peak memory usage: 88 MB
% 0.64/0.95 % (4178928)Instructions burned: 12 (million)
% 0.64/0.95 % (4178925)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=2846836729:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.64/0.95 % (4178927)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=2066894325:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.64/0.95 % (4178926)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=212688039:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.64/0.95 % (4178931)dis-21_1_sil=8000:lcm=predicate:random_seed=3124295272:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.64/0.95 % (4178930)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2885858786:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.64/0.95 % (4178930)Also succeeded, but the first one will report.
% 0.64/0.95 % (4178931)Instruction limit reached!
% 0.64/0.95 % (4178931)------------------------------
% 0.64/0.95 % (4178931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.95 % (4178931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.95 % (4178931)CaDiCaL version: 2.1.3
% 0.64/0.95 % (4178931)Termination reason: Instruction limit
% 0.64/0.95 % (4178931)Termination phase: Saturation
% 0.64/0.95 % (4178931)Time elapsed: 0.074 s
% 0.64/0.95 % (4178931)Peak memory usage: 90 MB
% 0.64/0.95 % (4178931)Instructions burned: 130 (million)
% 0.64/0.95 % (4178929)Refutation found. Thanks to Tanya!
% 0.64/0.95 % SZS status Theorem for theBenchmark
% 0.64/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.14 % (4178929)------------------------------
% 2.64/1.14 % (4178929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.14 % (4178929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.14 % (4178929)CaDiCaL version: 2.1.3
% 2.64/1.14 % (4178929)Termination reason: Refutation
% 2.64/1.14 % (4178929)Time elapsed: 0.011 s
% 2.64/1.14 % (4178929)Peak memory usage: 88 MB
% 2.64/1.14 % (4178929)Instructions burned: 39 (million)
% 2.64/1.14 % (4178929)------------------------------
% 2.64/1.14 % (4178929)------------------------------
% 2.64/1.14 % (4178920)Success in time 0.283 s
% 2.64/1.14 % Vampire exiting
%------------------------------------------------------------------------------