TSTP Solution File: ALG217+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG217+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 16:50:27 EDT 2022
% Result : Theorem 0.50s 50.68s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 27
% Syntax : Number of formulae : 246 ( 41 unt; 0 def)
% Number of atoms : 2965 ( 128 equ)
% Maximal formula atoms : 133 ( 12 avg)
% Number of connectives : 4785 (2066 ~;2382 |; 295 &)
% ( 6 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-4 aty)
% Number of variables : 445 ( 13 sgn 127 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_boole) ).
fof(dt_k1_subset_1,axiom,
! [X1] :
( v1_xboole_0(k1_subset_1(X1))
& m1_subset_1(k1_subset_1(X1),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_subset_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc1_xboole_0) ).
fof(fraenkel_a_2_0_rmod_5,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v4_group_1(X2)
& v7_group_1(X2)
& v6_vectsp_1(X2)
& v7_vectsp_1(X2)
& v8_vectsp_1(X2)
& ~ v10_vectsp_1(X2)
& v2_vectsp_2(X2)
& l3_vectsp_1(X2)
& ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X2)
& l1_vectsp_2(X3,X2) )
=> ( r2_hidden(X1,a_2_0_rmod_5(X2,X3))
<=> ? [X4] :
( m2_rmod_4(X4,X2,X3,k1_subset_1(u1_struct_0(X3)))
& X1 = k5_rmod_4(X2,X3,X4) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fraenkel_a_2_0_rmod_5) ).
fof(fraenkel_a_3_0_rmod_5,axiom,
! [X1,X2,X3,X4] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v4_group_1(X2)
& v7_group_1(X2)
& v6_vectsp_1(X2)
& v7_vectsp_1(X2)
& v8_vectsp_1(X2)
& ~ v10_vectsp_1(X2)
& v2_vectsp_2(X2)
& l3_vectsp_1(X2)
& ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X2)
& l1_vectsp_2(X3,X2)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) )
=> ( r2_hidden(X1,a_3_0_rmod_5(X2,X3,X4))
<=> ? [X5] :
( m2_rmod_4(X5,X2,X3,X4)
& X1 = k5_rmod_4(X2,X3,X5) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fraenkel_a_3_0_rmod_5) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_tarski) ).
fof(dt_m1_rmod_2,axiom,
! [X1,X2] :
( ( ~ 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(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_rmod_2(X3,X1,X2)
=> ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X1)
& l1_vectsp_2(X3,X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_rmod_2) ).
fof(dt_k1_rmod_2,axiom,
! [X1,X2] :
( ( ~ 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(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ( v3_vectsp_2(k1_rmod_2(X1,X2),X1)
& m1_rmod_2(k1_rmod_2(X1,X2),X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_rmod_2) ).
fof(dt_m2_rmod_4,axiom,
! [X1,X2,X3] :
( ( ~ 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(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ! [X4] :
( m2_rmod_4(X4,X1,X2,X3)
=> m1_rmod_4(X4,X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_rmod_4) ).
fof(t11_rmod_5,conjecture,
! [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) )
=> ! [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,X1)
& l1_vectsp_2(X2,X1) )
=> k1_rmod_5(X1,X2,k1_subset_1(u1_struct_0(X2))) = k1_rmod_2(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t11_rmod_5) ).
fof(t42_rmod_4,axiom,
! [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) )
=> ! [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,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
=> k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t42_rmod_4) ).
fof(dt_k5_rmod_4,axiom,
! [X1,X2,X3] :
( ( ~ 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(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& m1_rmod_4(X3,X1,X2) )
=> m1_subset_1(k5_rmod_4(X1,X2,X3),u1_struct_0(X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_rmod_4) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
fof(existence_m2_rmod_4,axiom,
! [X1,X2,X3] :
( ( ~ 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(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ? [X4] : m2_rmod_4(X4,X1,X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',existence_m2_rmod_4) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',existence_m1_subset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(t46_rmod_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v4_group_1(X2)
& v6_vectsp_1(X2)
& v7_vectsp_1(X2)
& v8_vectsp_1(X2)
& l3_vectsp_1(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X2)
& l1_vectsp_2(X3,X2) )
=> ( r1_rlvect_1(k1_rmod_2(X2,X3),X1)
<=> X1 = k1_rlvect_1(X3) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t46_rmod_2) ).
fof(d1_rlvect_1,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( r1_rlvect_1(X1,X2)
<=> r2_hidden(X2,u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_rlvect_1) ).
fof(dt_l1_vectsp_2,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_vectsp_2(X2,X1)
=> l1_rlvect_1(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_vectsp_2) ).
fof(dt_l1_rlvect_1,axiom,
! [X1] :
( l1_rlvect_1(X1)
=> l2_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_rlvect_1) ).
fof(dt_l2_struct_0,axiom,
! [X1] :
( l2_struct_0(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l2_struct_0) ).
fof(d2_rmod_5,axiom,
! [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) )
=> ! [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,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( ( v3_vectsp_2(X4,X1)
& m1_rmod_2(X4,X1,X2) )
=> ( X4 = k1_rmod_5(X1,X2,X3)
<=> u1_struct_0(X4) = a_3_0_rmod_5(X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_rmod_5) ).
fof(dt_k1_rmod_5,axiom,
! [X1,X2,X3] :
( ( ~ 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(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ( v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
& m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_rmod_5) ).
fof(dt_l3_vectsp_1,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l3_vectsp_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
fof(t25_rmod_2,axiom,
! [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) )
=> ! [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,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_rmod_2(X3,X1,X2)
=> r1_rlvect_1(X3,k1_rlvect_1(X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t25_rmod_2) ).
fof(c_0_27,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_28,plain,
! [X2,X2] :
( v1_xboole_0(k1_subset_1(X2))
& m1_subset_1(k1_subset_1(X2),k1_zfmisc_1(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[dt_k1_subset_1])])]) ).
fof(c_0_29,plain,
v1_xboole_0(esk25_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(c_0_30,plain,
! [X5,X6,X7,X9] :
( ( m2_rmod_4(esk19_3(X5,X6,X7),X6,X7,k1_subset_1(u1_struct_0(X7)))
| ~ r2_hidden(X5,a_2_0_rmod_5(X6,X7))
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v7_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| v10_vectsp_1(X6)
| ~ v2_vectsp_2(X6)
| ~ l3_vectsp_1(X6)
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v5_vectsp_2(X7,X6)
| ~ l1_vectsp_2(X7,X6) )
& ( X5 = k5_rmod_4(X6,X7,esk19_3(X5,X6,X7))
| ~ r2_hidden(X5,a_2_0_rmod_5(X6,X7))
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v7_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| v10_vectsp_1(X6)
| ~ v2_vectsp_2(X6)
| ~ l3_vectsp_1(X6)
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v5_vectsp_2(X7,X6)
| ~ l1_vectsp_2(X7,X6) )
& ( ~ m2_rmod_4(X9,X6,X7,k1_subset_1(u1_struct_0(X7)))
| X5 != k5_rmod_4(X6,X7,X9)
| r2_hidden(X5,a_2_0_rmod_5(X6,X7))
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v7_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| v10_vectsp_1(X6)
| ~ v2_vectsp_2(X6)
| ~ l3_vectsp_1(X6)
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v5_vectsp_2(X7,X6)
| ~ l1_vectsp_2(X7,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fraenkel_a_2_0_rmod_5])])])])])])])]) ).
cnf(c_0_31,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
v1_xboole_0(k1_subset_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
v1_xboole_0(esk25_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,plain,
! [X6,X7,X8,X9,X11] :
( ( m2_rmod_4(esk20_4(X6,X7,X8,X9),X7,X8,X9)
| ~ r2_hidden(X6,a_3_0_rmod_5(X7,X8,X9))
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v4_group_1(X7)
| ~ v7_group_1(X7)
| ~ v6_vectsp_1(X7)
| ~ v7_vectsp_1(X7)
| ~ v8_vectsp_1(X7)
| v10_vectsp_1(X7)
| ~ v2_vectsp_2(X7)
| ~ l3_vectsp_1(X7)
| v3_struct_0(X8)
| ~ v3_rlvect_1(X8)
| ~ v4_rlvect_1(X8)
| ~ v5_rlvect_1(X8)
| ~ v6_rlvect_1(X8)
| ~ v5_vectsp_2(X8,X7)
| ~ l1_vectsp_2(X8,X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X8))) )
& ( X6 = k5_rmod_4(X7,X8,esk20_4(X6,X7,X8,X9))
| ~ r2_hidden(X6,a_3_0_rmod_5(X7,X8,X9))
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v4_group_1(X7)
| ~ v7_group_1(X7)
| ~ v6_vectsp_1(X7)
| ~ v7_vectsp_1(X7)
| ~ v8_vectsp_1(X7)
| v10_vectsp_1(X7)
| ~ v2_vectsp_2(X7)
| ~ l3_vectsp_1(X7)
| v3_struct_0(X8)
| ~ v3_rlvect_1(X8)
| ~ v4_rlvect_1(X8)
| ~ v5_rlvect_1(X8)
| ~ v6_rlvect_1(X8)
| ~ v5_vectsp_2(X8,X7)
| ~ l1_vectsp_2(X8,X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X8))) )
& ( ~ m2_rmod_4(X11,X7,X8,X9)
| X6 != k5_rmod_4(X7,X8,X11)
| r2_hidden(X6,a_3_0_rmod_5(X7,X8,X9))
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v4_group_1(X7)
| ~ v7_group_1(X7)
| ~ v6_vectsp_1(X7)
| ~ v7_vectsp_1(X7)
| ~ v8_vectsp_1(X7)
| v10_vectsp_1(X7)
| ~ v2_vectsp_2(X7)
| ~ l3_vectsp_1(X7)
| v3_struct_0(X8)
| ~ v3_rlvect_1(X8)
| ~ v4_rlvect_1(X8)
| ~ v5_rlvect_1(X8)
| ~ v6_rlvect_1(X8)
| ~ v5_vectsp_2(X8,X7)
| ~ l1_vectsp_2(X8,X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X8))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fraenkel_a_3_0_rmod_5])])])])])])])]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| m2_rmod_4(esk19_3(X3,X2,X1),X2,X1,k1_subset_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ r2_hidden(X3,a_2_0_rmod_5(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
k1_subset_1(X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
k1_xboole_0 = esk25_0,
inference(spm,[status(thm)],[c_0_31,c_0_33]) ).
cnf(c_0_38,plain,
m1_subset_1(k1_subset_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( v3_struct_0(X2)
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| r2_hidden(X4,a_3_0_rmod_5(X3,X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| X4 != k5_rmod_4(X3,X2,X5)
| ~ m2_rmod_4(X5,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( m2_rmod_4(esk19_3(X1,X2,X3),X2,X3,esk25_0)
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_41,plain,
m1_subset_1(esk25_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_36]),c_0_37]) ).
cnf(c_0_42,plain,
( r2_hidden(X1,a_3_0_rmod_5(X2,X3,esk25_0))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k5_rmod_4(X2,X3,esk19_3(X4,X2,X3))
| ~ r2_hidden(X4,a_2_0_rmod_5(X2,X3))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| X3 = k5_rmod_4(X2,X1,esk19_3(X3,X2,X1))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ r2_hidden(X3,a_2_0_rmod_5(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_44,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk33_2(X4,X5),X4)
| ~ r2_hidden(esk33_2(X4,X5),X5)
| X4 = X5 )
& ( r2_hidden(esk33_2(X4,X5),X4)
| r2_hidden(esk33_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])])]) ).
fof(c_0_45,plain,
! [X4,X5,X6] :
( ( ~ v3_struct_0(X6)
| ~ m1_rmod_2(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4) )
& ( v3_rlvect_1(X6)
| ~ m1_rmod_2(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4) )
& ( v4_rlvect_1(X6)
| ~ m1_rmod_2(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4) )
& ( v5_rlvect_1(X6)
| ~ m1_rmod_2(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4) )
& ( v6_rlvect_1(X6)
| ~ m1_rmod_2(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4) )
& ( v5_vectsp_2(X6,X4)
| ~ m1_rmod_2(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4) )
& ( l1_vectsp_2(X6,X4)
| ~ m1_rmod_2(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m1_rmod_2])])])])])])]) ).
fof(c_0_46,plain,
! [X3,X4] :
( ( v3_vectsp_2(k1_rmod_2(X3,X4),X3)
| v3_struct_0(X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v5_vectsp_2(X4,X3)
| ~ l1_vectsp_2(X4,X3) )
& ( m1_rmod_2(k1_rmod_2(X3,X4),X3,X4)
| v3_struct_0(X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v4_group_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v5_vectsp_2(X4,X3)
| ~ l1_vectsp_2(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_rmod_2])])])]) ).
cnf(c_0_47,plain,
( r2_hidden(X1,a_3_0_rmod_5(X2,X3,esk25_0))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_48,plain,
( X1 = X2
| r2_hidden(esk33_2(X1,X2),X2)
| r2_hidden(esk33_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| l1_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_rmod_2(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(k1_rmod_2(X2,X1),X2,X1)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,plain,
( X1 = a_2_0_rmod_5(X2,X3)
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,X3)),a_3_0_rmod_5(X2,X3,esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,X3)),X1)
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( l1_vectsp_2(k1_rmod_2(X1,X2),X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_rmod_2(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,plain,
( X1 = a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),a_3_0_rmod_5(X2,k1_rmod_2(X2,X3),esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),X1)
| v10_vectsp_1(X2)
| v3_struct_0(k1_rmod_2(X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(k1_rmod_2(X2,X3),X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(k1_rmod_2(X2,X3))
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(k1_rmod_2(X2,X3))
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(k1_rmod_2(X2,X3))
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(k1_rmod_2(X2,X3))
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
( v5_vectsp_2(k1_rmod_2(X1,X2),X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_56,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v6_rlvect_1(X3)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_rmod_2(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( X1 = a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),a_3_0_rmod_5(X2,k1_rmod_2(X2,X3),esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),X1)
| v10_vectsp_1(X2)
| v3_struct_0(k1_rmod_2(X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(k1_rmod_2(X2,X3))
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(k1_rmod_2(X2,X3))
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(k1_rmod_2(X2,X3))
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(k1_rmod_2(X2,X3))
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
( v6_rlvect_1(k1_rmod_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_50]) ).
cnf(c_0_59,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_rlvect_1(X3)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_rmod_2(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_60,plain,
( X1 = a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),a_3_0_rmod_5(X2,k1_rmod_2(X2,X3),esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),X1)
| v10_vectsp_1(X2)
| v3_struct_0(k1_rmod_2(X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(k1_rmod_2(X2,X3))
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(k1_rmod_2(X2,X3))
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(k1_rmod_2(X2,X3))
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( v5_rlvect_1(k1_rmod_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_50]) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_rlvect_1(X3)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_rmod_2(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_63,plain,
! [X5,X6,X7,X8] :
( v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ m2_rmod_4(X8,X5,X6,X7)
| m1_rmod_4(X8,X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_rmod_4])])])])])]) ).
cnf(c_0_64,plain,
( X1 = a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),a_3_0_rmod_5(X2,k1_rmod_2(X2,X3),esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),X1)
| v10_vectsp_1(X2)
| v3_struct_0(k1_rmod_2(X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(k1_rmod_2(X2,X3))
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(k1_rmod_2(X2,X3))
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
( v4_rlvect_1(k1_rmod_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_50]) ).
cnf(c_0_66,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_rlvect_1(X3)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_rmod_2(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_67,negated_conjecture,
~ ! [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) )
=> ! [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,X1)
& l1_vectsp_2(X2,X1) )
=> k1_rmod_5(X1,X2,k1_subset_1(u1_struct_0(X2))) = k1_rmod_2(X1,X2) ) ),
inference(assume_negation,[status(cth)],[t11_rmod_5]) ).
fof(c_0_68,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4)
| ~ m2_rmod_4(X6,X4,X5,k1_subset_1(u1_struct_0(X5)))
| k5_rmod_4(X4,X5,X6) = k1_rlvect_1(X5) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t42_rmod_4])])])])])]) ).
fof(c_0_69,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4)
| ~ m1_rmod_4(X6,X4,X5)
| m1_subset_1(k5_rmod_4(X4,X5,X6),u1_struct_0(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_rmod_4])])]) ).
cnf(c_0_70,plain,
( m1_rmod_4(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m2_rmod_4(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,plain,
( v3_struct_0(X2)
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| m2_rmod_4(esk20_4(X4,X3,X2,X1),X3,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ r2_hidden(X4,a_3_0_rmod_5(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_72,plain,
( X1 = a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),a_3_0_rmod_5(X2,k1_rmod_2(X2,X3),esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),X1)
| v10_vectsp_1(X2)
| v3_struct_0(k1_rmod_2(X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(k1_rmod_2(X2,X3))
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
( v3_rlvect_1(k1_rmod_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_50]) ).
fof(c_0_74,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v4_group_1(esk1_0)
& v7_group_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& ~ v10_vectsp_1(esk1_0)
& v2_vectsp_2(esk1_0)
& l3_vectsp_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v6_rlvect_1(esk2_0)
& v5_vectsp_2(esk2_0,esk1_0)
& l1_vectsp_2(esk2_0,esk1_0)
& k1_rmod_5(esk1_0,esk2_0,k1_subset_1(u1_struct_0(esk2_0))) != k1_rmod_2(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_67])])])])])]) ).
cnf(c_0_75,plain,
( k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
( m1_subset_1(k5_rmod_4(X1,X2,X3),u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_4(X3,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_77,plain,
( m1_rmod_4(esk20_4(X1,X2,X3,X4),X2,X3)
| v10_vectsp_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ r2_hidden(X1,a_3_0_rmod_5(X2,X3,X4))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_78,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_79,plain,
( X1 = a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),a_3_0_rmod_5(X2,k1_rmod_2(X2,X3),esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(X2,k1_rmod_2(X2,X3))),X1)
| v10_vectsp_1(X2)
| v3_struct_0(k1_rmod_2(X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_83,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_84,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_88,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_89,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_90,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_91,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_92,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_93,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_94,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_95,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_96,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_97,negated_conjecture,
~ v10_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_98,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_99,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_100,plain,
( v3_struct_0(X2)
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| X4 = k5_rmod_4(X3,X2,esk20_4(X4,X3,X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ r2_hidden(X4,a_3_0_rmod_5(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_101,plain,
( k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_rmod_4(X3,X1,X2,esk25_0)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_36]),c_0_37]) ).
fof(c_0_102,plain,
! [X5,X6,X7] :
( v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| m2_rmod_4(esk18_3(X5,X6,X7),X5,X6,X7) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[existence_m2_rmod_4])])])])])]) ).
cnf(c_0_103,plain,
( v3_struct_0(X1)
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| r2_hidden(X3,a_2_0_rmod_5(X2,X1))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| X3 != k5_rmod_4(X2,X1,X4)
| ~ m2_rmod_4(X4,X2,X1,k1_subset_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_104,plain,
( m1_subset_1(k5_rmod_4(X1,X2,esk20_4(X3,X1,X2,X4)),u1_struct_0(X2))
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(X3,a_3_0_rmod_5(X1,X2,X4))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_105,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_106,negated_conjecture,
( X1 = a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))),a_3_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0),esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))),X1)
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_107,plain,
( k1_rlvect_1(X1) = X2
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ m2_rmod_4(esk20_4(X2,X3,X1,X4),X3,X1,esk25_0)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X2,a_3_0_rmod_5(X3,X1,X4))
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_108,plain,
( m2_rmod_4(esk18_3(X1,X2,X3),X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_109,plain,
( r2_hidden(X1,a_2_0_rmod_5(X2,X3))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k5_rmod_4(X2,X3,X4)
| ~ m2_rmod_4(X4,X2,X3,esk25_0)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_36]),c_0_37]) ).
cnf(c_0_110,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v10_vectsp_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(X1,a_3_0_rmod_5(X3,X2,X4))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_100]) ).
cnf(c_0_111,negated_conjecture,
( X1 = a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))),a_3_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0),esk25_0))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,plain,
( k1_rlvect_1(X1) = X2
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ r2_hidden(X2,a_3_0_rmod_5(X3,X1,esk25_0))
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_71]),c_0_41])]) ).
fof(c_0_113,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_114,plain,
! [X3] : m1_subset_1(esk15_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_115,plain,
( r2_hidden(X1,a_3_0_rmod_5(X2,X3,X4))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k5_rmod_4(X2,X3,esk18_3(X2,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_108]) ).
cnf(c_0_116,plain,
( r2_hidden(k5_rmod_4(X1,X2,X3),a_2_0_rmod_5(X1,X2))
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_rmod_4(X3,X1,X2,esk25_0)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(er,[status(thm)],[c_0_109]) ).
cnf(c_0_117,negated_conjecture,
( X1 = a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))
| m1_subset_1(esk33_2(X1,a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ v1_xboole_0(X1)
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_41]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_91]),c_0_93]),c_0_95])]),c_0_97]),c_0_98]) ).
cnf(c_0_118,negated_conjecture,
( esk33_2(X1,a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))) = k1_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| X1 = a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ v1_xboole_0(X1)
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_111]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_91]),c_0_93]),c_0_95])]),c_0_97]),c_0_98]) ).
cnf(c_0_119,negated_conjecture,
( X1 = a_2_0_rmod_5(esk1_0,esk2_0)
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(esk1_0,esk2_0)),a_3_0_rmod_5(esk1_0,esk2_0,esk25_0))
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(esk1_0,esk2_0)),X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_120,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_121,plain,
m1_subset_1(esk15_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
fof(c_0_122,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_123,plain,
( r2_hidden(k5_rmod_4(X1,X2,esk18_3(X1,X2,X3)),a_3_0_rmod_5(X1,X2,X3))
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(er,[status(thm)],[c_0_115]) ).
fof(c_0_124,plain,
! [X4,X5,X6] :
( ( ~ r1_rlvect_1(k1_rmod_2(X5,X6),X4)
| X4 = k1_rlvect_1(X6)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) )
& ( X4 != k1_rlvect_1(X6)
| r1_rlvect_1(k1_rmod_2(X5,X6),X4)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t46_rmod_2])])])])])])]) ).
fof(c_0_125,plain,
! [X3,X4,X4] :
( ( ~ r1_rlvect_1(X3,X4)
| r2_hidden(X4,u1_struct_0(X3))
| ~ l1_struct_0(X3) )
& ( ~ r2_hidden(X4,u1_struct_0(X3))
| r1_rlvect_1(X3,X4)
| ~ l1_struct_0(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_rlvect_1])])])])])]) ).
cnf(c_0_126,plain,
( r2_hidden(k1_rlvect_1(X1),a_2_0_rmod_5(X2,X1))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_rmod_4(X3,X2,X1,esk25_0)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_101]) ).
cnf(c_0_127,negated_conjecture,
( X1 = a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0))
| m1_subset_1(k1_rlvect_1(k1_rmod_2(esk1_0,esk2_0)),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ v1_xboole_0(X1)
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_128,negated_conjecture,
( X1 = a_2_0_rmod_5(esk1_0,esk2_0)
| r2_hidden(esk33_2(X1,a_2_0_rmod_5(esk1_0,esk2_0)),a_3_0_rmod_5(esk1_0,esk2_0,esk25_0))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_119]) ).
cnf(c_0_129,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk15_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_130,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_131,plain,
( k5_rmod_4(X1,X2,esk18_3(X1,X2,esk25_0)) = k1_rlvect_1(X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_123]),c_0_41])]) ).
cnf(c_0_132,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| X3 = k1_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ r1_rlvect_1(k1_rmod_2(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_133,plain,
( r1_rlvect_1(X1,X2)
| ~ l1_struct_0(X1)
| ~ r2_hidden(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_134,plain,
( r2_hidden(k1_rlvect_1(X1),a_2_0_rmod_5(X2,X1))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_108]),c_0_41])]) ).
cnf(c_0_135,negated_conjecture,
( a_2_0_rmod_5(esk1_0,k1_rmod_2(esk1_0,esk2_0)) = esk25_0
| m1_subset_1(k1_rlvect_1(k1_rmod_2(esk1_0,esk2_0)),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_127,c_0_33]) ).
fof(c_0_136,plain,
! [X3,X4] :
( ~ l1_struct_0(X3)
| ~ l1_vectsp_2(X4,X3)
| l1_rlvect_1(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_vectsp_2])])])])]) ).
cnf(c_0_137,plain,
( X1 = X2
| r2_hidden(esk33_2(X1,X2),X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_48]) ).
cnf(c_0_138,negated_conjecture,
( esk33_2(X1,a_2_0_rmod_5(esk1_0,esk2_0)) = k1_rlvect_1(esk2_0)
| X1 = a_2_0_rmod_5(esk1_0,esk2_0)
| ~ v1_xboole_0(X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_128]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_139,plain,
( v1_xboole_0(esk15_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,esk15_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_140,plain,
( r2_hidden(X1,a_3_0_rmod_5(X2,X3,esk25_0))
| v10_vectsp_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_rlvect_1(X3)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_131]),c_0_41])]) ).
cnf(c_0_141,plain,
( X1 = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ r2_hidden(X1,u1_struct_0(k1_rmod_2(X3,X2)))
| ~ l1_struct_0(k1_rmod_2(X3,X2))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_142,negated_conjecture,
( m1_subset_1(k1_rlvect_1(k1_rmod_2(esk1_0,esk2_0)),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| r2_hidden(k1_rlvect_1(k1_rmod_2(esk1_0,esk2_0)),esk25_0)
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_91]),c_0_93]),c_0_95])]),c_0_97]),c_0_98]) ).
fof(c_0_143,plain,
! [X2] :
( ~ l1_rlvect_1(X2)
| l2_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])]) ).
cnf(c_0_144,plain,
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_145,negated_conjecture,
( X1 = a_2_0_rmod_5(esk1_0,esk2_0)
| r2_hidden(k1_rlvect_1(esk2_0),a_2_0_rmod_5(esk1_0,esk2_0))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_146,plain,
( v1_xboole_0(esk15_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_121]) ).
cnf(c_0_147,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v10_vectsp_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_rlvect_1(X2)
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_140]),c_0_41])]) ).
cnf(c_0_148,plain,
( X1 = k1_rlvect_1(X2)
| v1_xboole_0(u1_struct_0(k1_rmod_2(X3,X2)))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_subset_1(X1,u1_struct_0(k1_rmod_2(X3,X2)))
| ~ l1_struct_0(k1_rmod_2(X3,X2))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_141,c_0_130]) ).
cnf(c_0_149,negated_conjecture,
( m1_subset_1(k1_rlvect_1(k1_rmod_2(esk1_0,esk2_0)),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_142]),c_0_33])]) ).
fof(c_0_150,plain,
! [X2] :
( ~ l2_struct_0(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])]) ).
cnf(c_0_151,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_152,plain,
( l1_rlvect_1(k1_rmod_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_52]) ).
cnf(c_0_153,negated_conjecture,
( esk15_1(k1_zfmisc_1(X1)) = a_2_0_rmod_5(esk1_0,esk2_0)
| r2_hidden(k1_rlvect_1(esk2_0),a_2_0_rmod_5(esk1_0,esk2_0))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_154,plain,
( m1_subset_1(X1,u1_struct_0(k1_rmod_2(X2,X3)))
| v10_vectsp_1(X2)
| v3_struct_0(k1_rmod_2(X2,X3))
| v3_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_rlvect_1(k1_rmod_2(X2,X3))
| ~ l1_vectsp_2(k1_rmod_2(X2,X3),X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(k1_rmod_2(X2,X3))
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(k1_rmod_2(X2,X3))
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(k1_rmod_2(X2,X3))
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(k1_rmod_2(X2,X3))
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(spm,[status(thm)],[c_0_147,c_0_55]) ).
cnf(c_0_155,negated_conjecture,
( k1_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) = k1_rlvect_1(esk2_0)
| v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_90]),c_0_89]),c_0_92]),c_0_91]),c_0_94]),c_0_93]),c_0_96]),c_0_95])]),c_0_99]),c_0_98]) ).
cnf(c_0_156,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_157,plain,
( l2_struct_0(k1_rmod_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_158,negated_conjecture,
( r2_hidden(k1_rlvect_1(esk2_0),a_2_0_rmod_5(esk1_0,esk2_0))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,a_2_0_rmod_5(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_129,c_0_153]) ).
cnf(c_0_159,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0)
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_160,plain,
( l1_struct_0(k1_rmod_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,negated_conjecture,
( r2_hidden(k1_rlvect_1(esk2_0),a_2_0_rmod_5(esk1_0,esk2_0))
| ~ v1_xboole_0(X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_134]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
fof(c_0_162,plain,
! [X5,X6,X7,X8] :
( ( X8 != k1_rmod_5(X5,X6,X7)
| u1_struct_0(X8) = a_3_0_rmod_5(X5,X6,X7)
| ~ v3_vectsp_2(X8,X5)
| ~ m1_rmod_2(X8,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v7_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| v10_vectsp_1(X5)
| ~ v2_vectsp_2(X5)
| ~ l3_vectsp_1(X5) )
& ( u1_struct_0(X8) != a_3_0_rmod_5(X5,X6,X7)
| X8 = k1_rmod_5(X5,X6,X7)
| ~ v3_vectsp_2(X8,X5)
| ~ m1_rmod_2(X8,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v7_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| v10_vectsp_1(X5)
| ~ v2_vectsp_2(X5)
| ~ l3_vectsp_1(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_rmod_5])])])])])])]) ).
cnf(c_0_163,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ l1_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_164,negated_conjecture,
( a_2_0_rmod_5(esk1_0,esk2_0) = a_3_0_rmod_5(esk1_0,esk2_0,esk25_0)
| r2_hidden(esk33_2(a_3_0_rmod_5(esk1_0,esk2_0,esk25_0),a_2_0_rmod_5(esk1_0,esk2_0)),a_3_0_rmod_5(esk1_0,esk2_0,esk25_0)) ),
inference(ef,[status(thm)],[c_0_119]) ).
cnf(c_0_165,negated_conjecture,
r2_hidden(k1_rlvect_1(esk2_0),a_2_0_rmod_5(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_161,c_0_33]) ).
cnf(c_0_166,plain,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| u1_struct_0(X4) = a_3_0_rmod_5(X1,X2,X3)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_rmod_2(X4,X1,X2)
| ~ v3_vectsp_2(X4,X1)
| X4 != k1_rmod_5(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_167,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v5_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_52]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_168,plain,
( k1_rlvect_1(X1) = X2
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ m2_rmod_4(esk19_3(X2,X3,X1),X3,X1,esk25_0)
| ~ r2_hidden(X2,a_2_0_rmod_5(X3,X1))
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_101]) ).
cnf(c_0_169,plain,
( X1 = X2
| ~ r2_hidden(esk33_2(X1,X2),X2)
| ~ r2_hidden(esk33_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_170,negated_conjecture,
( esk33_2(a_3_0_rmod_5(esk1_0,esk2_0,esk25_0),a_2_0_rmod_5(esk1_0,esk2_0)) = k1_rlvect_1(esk2_0)
| a_2_0_rmod_5(esk1_0,esk2_0) = a_3_0_rmod_5(esk1_0,esk2_0,esk25_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_164]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_171,negated_conjecture,
r2_hidden(k1_rlvect_1(esk2_0),a_3_0_rmod_5(esk1_0,esk2_0,esk25_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_165]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_172,plain,
( a_3_0_rmod_5(X1,X2,X3) = u1_struct_0(k1_rmod_5(X1,X2,X3))
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(er,[status(thm)],[c_0_166]) ).
fof(c_0_173,plain,
! [X4,X5,X6] :
( ( v3_vectsp_2(k1_rmod_5(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v7_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| v10_vectsp_1(X4)
| ~ v2_vectsp_2(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5))) )
& ( m1_rmod_2(k1_rmod_5(X4,X5,X6),X4,X5)
| v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v7_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| v10_vectsp_1(X4)
| ~ v2_vectsp_2(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_rmod_5])])])]) ).
cnf(c_0_174,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_55]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_175,plain,
( k1_rlvect_1(X1) = X2
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ r2_hidden(X2,a_2_0_rmod_5(X3,X1))
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_40]) ).
cnf(c_0_176,negated_conjecture,
a_2_0_rmod_5(esk1_0,esk2_0) = a_3_0_rmod_5(esk1_0,esk2_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_165]),c_0_171])]) ).
cnf(c_0_177,negated_conjecture,
( r2_hidden(k1_rlvect_1(esk2_0),u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0,esk2_0)
| ~ v3_vectsp_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_41]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_90]),c_0_89]),c_0_92]),c_0_91]),c_0_94]),c_0_93]),c_0_96]),c_0_95])]),c_0_97]),c_0_99]),c_0_98]) ).
cnf(c_0_178,plain,
( v3_struct_0(X2)
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| v3_vectsp_2(k1_rmod_5(X3,X2,X1),X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_179,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_58]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
fof(c_0_180,plain,
! [X2] :
( ( l1_rlvect_1(X2)
| ~ l3_vectsp_1(X2) )
& ( l2_vectsp_1(X2)
| ~ l3_vectsp_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_vectsp_1])])]) ).
cnf(c_0_181,negated_conjecture,
( k1_rlvect_1(esk2_0) = X1
| ~ r2_hidden(X1,a_3_0_rmod_5(esk1_0,esk2_0,esk25_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_182,negated_conjecture,
( r2_hidden(k1_rlvect_1(esk2_0),u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_41]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
fof(c_0_183,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_184,plain,
( a_2_0_rmod_5(X1,X2) = X3
| r2_hidden(esk33_2(a_2_0_rmod_5(X1,X2),X3),a_3_0_rmod_5(X1,X2,esk25_0))
| r2_hidden(esk33_2(a_2_0_rmod_5(X1,X2),X3),X3)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_185,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_61]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_186,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_187,negated_conjecture,
( k1_rlvect_1(esk2_0) = X1
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0,esk2_0)
| ~ r2_hidden(X1,u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)))
| ~ v3_vectsp_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_172]),c_0_41]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_90]),c_0_89]),c_0_92]),c_0_91]),c_0_94]),c_0_93]),c_0_96]),c_0_95])]),c_0_97]),c_0_99]),c_0_98]) ).
cnf(c_0_188,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_182]) ).
cnf(c_0_189,plain,
( v3_struct_0(X2)
| v10_vectsp_1(X3)
| v3_struct_0(X3)
| m1_rmod_2(k1_rmod_5(X3,X2,X1),X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X3)
| ~ v2_vectsp_2(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v7_group_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_190,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_191,negated_conjecture,
( a_2_0_rmod_5(esk1_0,esk2_0) = X1
| r2_hidden(esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),X1),a_3_0_rmod_5(esk1_0,esk2_0,esk25_0))
| r2_hidden(esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),X1),X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_192,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_65]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_193,plain,
( l2_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_186]) ).
cnf(c_0_194,negated_conjecture,
( k1_rlvect_1(esk2_0) = X1
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0,esk2_0)
| ~ r2_hidden(X1,u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_178]),c_0_41]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_195,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_41]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_196,negated_conjecture,
( a_2_0_rmod_5(esk1_0,esk2_0) = X1
| m1_subset_1(esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),X1),X1)
| r2_hidden(esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),X1),a_3_0_rmod_5(esk1_0,esk2_0,esk25_0)) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_197,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_73]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_198,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_193]) ).
cnf(c_0_199,plain,
( r2_hidden(k5_rmod_4(X1,X2,X3),a_3_0_rmod_5(X1,X2,esk25_0))
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_rmod_4(X3,X1,X2,esk25_0)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_116]) ).
cnf(c_0_200,negated_conjecture,
( k1_rlvect_1(esk2_0) = X1
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_130]),c_0_195]) ).
cnf(c_0_201,negated_conjecture,
( esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),X1) = k1_rlvect_1(esk2_0)
| a_2_0_rmod_5(esk1_0,esk2_0) = X1
| m1_subset_1(esk33_2(a_2_0_rmod_5(esk1_0,esk2_0),X1),X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_196]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_202,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k1_rlvect_1(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_82])]) ).
cnf(c_0_203,negated_conjecture,
( k1_rlvect_1(esk2_0) = k5_rmod_4(esk1_0,esk2_0,X1)
| ~ m2_rmod_4(X1,esk1_0,esk2_0,esk25_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_199]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_204,negated_conjecture,
( k1_rlvect_1(esk2_0) = X1
| ~ m1_subset_1(X1,u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_189]),c_0_41]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_205,negated_conjecture,
( esk33_2(a_3_0_rmod_5(esk1_0,esk2_0,esk25_0),X1) = k1_rlvect_1(esk2_0)
| a_3_0_rmod_5(esk1_0,esk2_0,esk25_0) = X1
| m1_subset_1(esk33_2(a_3_0_rmod_5(esk1_0,esk2_0,esk25_0),X1),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_176]),c_0_176]),c_0_176]) ).
cnf(c_0_206,negated_conjecture,
( m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk25_0),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_190,c_0_182]) ).
cnf(c_0_207,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| X1 != k5_rmod_4(esk1_0,esk2_0,X2)
| ~ m2_rmod_4(X2,esk1_0,esk2_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_208,plain,
( X1 = X2
| v1_xboole_0(X2)
| ~ m1_subset_1(esk33_2(X1,X2),X2)
| ~ r2_hidden(esk33_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_130]) ).
cnf(c_0_209,negated_conjecture,
( esk33_2(a_3_0_rmod_5(esk1_0,esk2_0,esk25_0),u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))) = k1_rlvect_1(esk2_0)
| a_3_0_rmod_5(esk1_0,esk2_0,esk25_0) = u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_210,negated_conjecture,
m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_189]),c_0_41]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_211,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(k5_rmod_4(esk1_0,esk2_0,X1),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ m2_rmod_4(X1,esk1_0,esk2_0,esk25_0) ),
inference(er,[status(thm)],[c_0_207]) ).
cnf(c_0_212,negated_conjecture,
a_3_0_rmod_5(esk1_0,esk2_0,esk25_0) = u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]),c_0_171])]),c_0_195]) ).
cnf(c_0_213,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(k5_rmod_4(esk1_0,esk2_0,esk19_3(X1,esk1_0,esk2_0)),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ r2_hidden(X1,u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_40]),c_0_176]),c_0_212]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_214,plain,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X4 = k1_rmod_5(X1,X2,X3)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_rmod_2(X4,X1,X2)
| ~ v3_vectsp_2(X4,X1)
| u1_struct_0(X4) != a_3_0_rmod_5(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_215,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(X1,u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ r2_hidden(X1,u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_43]),c_0_176]),c_0_212]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_216,plain,
( X1 = X2
| m1_subset_1(esk33_2(X1,X2),X1)
| r2_hidden(esk33_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_190,c_0_48]) ).
cnf(c_0_217,plain,
( k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| a_3_0_rmod_5(X1,X2,X3) != u1_struct_0(k1_rmod_2(X1,X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_vectsp_2(k1_rmod_2(X1,X2),X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_214,c_0_50]) ).
cnf(c_0_218,plain,
( r2_hidden(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| ~ r1_rlvect_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_219,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_rlvect_1(k1_rmod_2(X1,X2),X3)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| X3 != k1_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_220,negated_conjecture,
( X1 = u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))
| v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(esk33_2(X1,u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(esk33_2(X1,u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))),X1)
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
fof(c_0_221,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v4_group_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4)
| ~ m1_rmod_2(X6,X4,X5)
| r1_rlvect_1(X6,k1_rlvect_1(X5)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t25_rmod_2])])])])])]) ).
cnf(c_0_222,plain,
( k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| u1_struct_0(k1_rmod_5(X1,X2,X3)) != u1_struct_0(k1_rmod_2(X1,X2))
| ~ m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
| ~ v3_vectsp_2(k1_rmod_2(X1,X2),X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_217,c_0_172]) ).
cnf(c_0_223,plain,
( r2_hidden(X1,u1_struct_0(k1_rmod_2(X2,X3)))
| v3_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_rlvect_1(X3)
| ~ l1_struct_0(k1_rmod_2(X2,X3))
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_224,negated_conjecture,
( u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)) = u1_struct_0(k1_rmod_2(esk1_0,esk2_0))
| v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| m1_subset_1(esk33_2(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)),u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))),u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_220]) ).
cnf(c_0_225,plain,
( r1_rlvect_1(X1,k1_rlvect_1(X2))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X3,X2)
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_226,plain,
( k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| u1_struct_0(k1_rmod_5(X1,X2,X3)) != u1_struct_0(k1_rmod_2(X1,X2))
| ~ m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_vectsp_2(k1_rmod_2(X1,X2),X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_222,c_0_178]) ).
cnf(c_0_227,plain,
( u1_struct_0(k1_rmod_2(X1,X2)) = X3
| v1_xboole_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| esk33_2(u1_struct_0(k1_rmod_2(X1,X2)),X3) != k1_rlvect_1(X2)
| ~ m1_subset_1(esk33_2(u1_struct_0(k1_rmod_2(X1,X2)),X3),X3)
| ~ l1_struct_0(k1_rmod_2(X1,X2))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_208,c_0_223]) ).
cnf(c_0_228,negated_conjecture,
( esk33_2(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)),u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0))) = k1_rlvect_1(esk2_0)
| u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)) = u1_struct_0(k1_rmod_2(esk1_0,esk2_0))
| v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_224]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_90]),c_0_89]),c_0_92]),c_0_91]),c_0_94]),c_0_93]),c_0_96]),c_0_95])]),c_0_99]),c_0_98]) ).
cnf(c_0_229,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,k1_subset_1(u1_struct_0(esk2_0))) != k1_rmod_2(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_230,plain,
( r1_rlvect_1(k1_rmod_2(X1,X2),k1_rlvect_1(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_225,c_0_50]) ).
cnf(c_0_231,plain,
( k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| u1_struct_0(k1_rmod_5(X1,X2,X3)) != u1_struct_0(k1_rmod_2(X1,X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_vectsp_2(k1_rmod_2(X1,X2),X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_189]) ).
cnf(c_0_232,negated_conjecture,
( u1_struct_0(k1_rmod_5(esk1_0,esk2_0,esk25_0)) = u1_struct_0(k1_rmod_2(esk1_0,esk2_0))
| v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_210]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_90]),c_0_89]),c_0_92]),c_0_91]),c_0_94]),c_0_93]),c_0_96]),c_0_95])]),c_0_195]),c_0_99]),c_0_98]) ).
cnf(c_0_233,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk25_0) != k1_rmod_2(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_36]),c_0_37]) ).
cnf(c_0_234,plain,
( r2_hidden(k1_rlvect_1(X1),u1_struct_0(k1_rmod_2(X2,X1)))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_struct_0(k1_rmod_2(X2,X1))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_230]) ).
cnf(c_0_235,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_41]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_88]),c_0_90]),c_0_89]),c_0_92]),c_0_91]),c_0_94]),c_0_93]),c_0_96]),c_0_95])]),c_0_233]),c_0_97]),c_0_99]),c_0_98]) ).
cnf(c_0_236,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_vectsp_2(k1_rmod_2(X2,X1),X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_237,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(k1_rmod_2(X1,X2)))
| ~ l1_struct_0(k1_rmod_2(X1,X2))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_234]) ).
cnf(c_0_238,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_struct_0(k1_rmod_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_239,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_rmod_2(X3,X2,X1)
| ~ v3_struct_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_240,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(k1_rmod_2(X1,X2)))
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2) ),
inference(spm,[status(thm)],[c_0_237,c_0_160]) ).
cnf(c_0_241,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_rmod_2(esk1_0,esk2_0)))
| v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_160]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_242,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(k1_rmod_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_239,c_0_50]) ).
cnf(c_0_243,negated_conjecture,
( v3_struct_0(k1_rmod_2(esk1_0,esk2_0))
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_244,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_80]),c_0_81]),c_0_82]),c_0_84]),c_0_85]),c_0_86]),c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_98]),c_0_99]) ).
cnf(c_0_245,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_198]),c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG217+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 8 09:56:19 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.34/23.41
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.47/46.42 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.44 eprover: CPU time limit exceeded, terminating
% 0.47/46.45 eprover: CPU time limit exceeded, terminating
% 0.50/50.68 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.50/50.68
% 0.50/50.68 # Failure: Resource limit exceeded (time)
% 0.50/50.68 # OLD status Res
% 0.50/50.68 # Preprocessing time : 0.028 s
% 0.50/50.68 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.50/50.68
% 0.50/50.68 # Failure: Resource limit exceeded (time)
% 0.50/50.68 # OLD status Res
% 0.50/50.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.50/50.68 # Preprocessing time : 0.017 s
% 0.50/50.68 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.50/50.68 # Preprocessing time : 0.016 s
% 0.50/50.68
% 0.50/50.68 # Proof found!
% 0.50/50.68 # SZS status Theorem
% 0.50/50.68 # SZS output start CNFRefutation
% See solution above
% 0.50/50.68 # Proof object total steps : 246
% 0.50/50.68 # Proof object clause steps : 191
% 0.50/50.68 # Proof object formula steps : 55
% 0.50/50.68 # Proof object conjectures : 87
% 0.50/50.68 # Proof object clause conjectures : 84
% 0.50/50.68 # Proof object formula conjectures : 3
% 0.50/50.68 # Proof object initial clauses used : 64
% 0.50/50.68 # Proof object initial formulas used : 27
% 0.50/50.68 # Proof object generating inferences : 121
% 0.50/50.68 # Proof object simplifying inferences : 788
% 0.50/50.68 # Training examples: 0 positive, 0 negative
% 0.50/50.68 # Parsed axioms : 92
% 0.50/50.68 # Removed by relevancy pruning/SinE : 0
% 0.50/50.68 # Initial clauses : 182
% 0.50/50.68 # Removed in clause preprocessing : 12
% 0.50/50.68 # Initial clauses in saturation : 170
% 0.50/50.68 # Processed clauses : 11958
% 0.50/50.68 # ...of these trivial : 130
% 0.50/50.68 # ...subsumed : 6021
% 0.50/50.68 # ...remaining for further processing : 5807
% 0.50/50.68 # Other redundant clauses eliminated : 30
% 0.50/50.68 # Clauses deleted for lack of memory : 0
% 0.50/50.68 # Backward-subsumed : 1602
% 0.50/50.68 # Backward-rewritten : 434
% 0.50/50.68 # Generated clauses : 130054
% 0.50/50.68 # ...of the previous two non-trivial : 121886
% 0.50/50.68 # Contextual simplify-reflections : 0
% 0.50/50.68 # Paramodulations : 129110
% 0.50/50.68 # Factorizations : 872
% 0.50/50.68 # Equation resolutions : 70
% 0.50/50.68 # Current number of processed clauses : 3769
% 0.50/50.68 # Positive orientable unit clauses : 65
% 0.50/50.68 # Positive unorientable unit clauses: 0
% 0.50/50.68 # Negative unit clauses : 21
% 0.50/50.68 # Non-unit-clauses : 3683
% 0.50/50.68 # Current number of unprocessed clauses: 79807
% 0.50/50.68 # ...number of literals in the above : 850987
% 0.50/50.68 # Current number of archived formulas : 0
% 0.50/50.68 # Current number of archived clauses : 2038
% 0.50/50.68 # Clause-clause subsumption calls (NU) : 3347276
% 0.50/50.68 # Rec. Clause-clause subsumption calls : 171650
% 0.50/50.68 # Non-unit clause-clause subsumptions : 7121
% 0.50/50.68 # Unit Clause-clause subsumption calls : 22836
% 0.50/50.68 # Rewrite failures with RHS unbound : 0
% 0.50/50.68 # BW rewrite match attempts : 40
% 0.50/50.68 # BW rewrite match successes : 23
% 0.50/50.68 # Condensation attempts : 0
% 0.50/50.68 # Condensation successes : 0
% 0.50/50.68 # Termbank termtop insertions : 6411967
% 0.50/50.68
% 0.50/50.68 # -------------------------------------------------
% 0.50/50.68 # User time : 4.057 s
% 0.50/50.68 # System time : 0.075 s
% 0.50/50.68 # Total time : 4.132 s
% 0.50/50.68 # Maximum resident set size: 123948 pages
% 0.50/69.44 eprover: CPU time limit exceeded, terminating
% 0.50/69.45 eprover: CPU time limit exceeded, terminating
% 0.50/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.46 eprover: No such file or directory
% 0.50/69.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.46 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.47 eprover: CPU time limit exceeded, terminating
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.47 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.48 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.49 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.50 eprover: No such file or directory
% 0.50/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.51 eprover: No such file or directory
% 0.50/69.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.51 eprover: No such file or directory
% 0.50/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.52 eprover: No such file or directory
% 0.50/69.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.52 eprover: No such file or directory
% 0.50/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.53 eprover: No such file or directory
% 0.50/69.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.50/69.53 eprover: No such file or directory
%------------------------------------------------------------------------------