%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG217+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 2.18s 239.34s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 150 ( 54 unt; 0 def)
% Number of atoms : 1996 ( 62 equ)
% Maximal formula atoms : 133 ( 13 avg)
% Number of connectives : 3156 (1310 ~;1416 |; 370 &)
% ( 3 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-4 aty)
% Number of variables : 258 ( 5 sgn 121 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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',t11_rmod_5) ).
fof(t32_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) )
=> m1_rmod_2(X2,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t32_rmod_2) ).
fof(t50_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)
=> m1_rmod_2(k1_rmod_2(X1,X2),X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t50_rmod_2) ).
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/benchmark/Axioms/SET007/SET007+278.ax',dt_m1_rmod_2) ).
fof(t33_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)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v3_vectsp_2(X3,X1)
& v5_vectsp_2(X3,X1)
& l1_vectsp_2(X3,X1) )
=> ( ( m1_rmod_2(X3,X1,X2)
& m1_rmod_2(X2,X1,X3) )
=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t33_rmod_2) ).
fof(t34_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] :
( ( ~ 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) )
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v3_rlvect_1(X4)
& v4_rlvect_1(X4)
& v5_rlvect_1(X4)
& v6_rlvect_1(X4)
& v5_vectsp_2(X4,X1)
& l1_vectsp_2(X4,X1) )
=> ( ( m1_rmod_2(X2,X1,X3)
& m1_rmod_2(X3,X1,X4) )
=> m1_rmod_2(X2,X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t34_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/benchmark/Axioms/SET007/SET007+278.ax',dt_k1_rmod_2) ).
fof(t19_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)
=> k1_rlvect_1(X3) = k1_rlvect_1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t19_rmod_2) ).
fof(t47_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)
=> k1_rmod_2(X1,X3) = k1_rmod_2(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t47_rmod_2) ).
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/benchmark/Axioms/SET007/SET007+278.ax',t46_rmod_2) ).
fof(t27_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)))
=> X3 = k3_rmod_4(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+280.ax',t27_rmod_4) ).
fof(d3_subset_1,axiom,
! [X1] : k1_subset_1(X1) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',d3_subset_1) ).
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/benchmark/Axioms/SET007/SET007+7.ax',dt_k1_subset_1) ).
fof(t16_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) )
=> ! [X4] :
( m1_rmod_2(X4,X2,X3)
=> ! [X5] :
( m1_rmod_2(X5,X2,X3)
=> ( ( r1_rlvect_1(X4,X1)
& m1_rmod_2(X4,X2,X5) )
=> r1_rlvect_1(X5,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t16_rmod_2) ).
fof(t9_rmod_5,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)
& 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) )
=> ! [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) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
=> ( r1_rlvect_1(k1_rmod_5(X2,X3,X4),X1)
<=> ? [X5] :
( m2_rmod_4(X5,X2,X3,X4)
& X1 = k5_rmod_4(X2,X3,X5) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t9_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',dt_k1_rmod_5) ).
fof(t38_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] :
( ( v3_vectsp_2(X3,X1)
& m1_rmod_2(X3,X1,X2) )
=> ! [X4] :
( ( v3_vectsp_2(X4,X1)
& m1_rmod_2(X4,X1,X2) )
=> ( ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ( r1_rlvect_1(X3,X5)
<=> r1_rlvect_1(X4,X5) ) )
=> X3 = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t38_rmod_2) ).
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/benchmark/Axioms/SET007/SET007+280.ax',t42_rmod_4) ).
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/benchmark/Axioms/SET007/SET007+278.ax',t25_rmod_2) ).
fof(t26_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)
=> ! [X4] :
( m1_rmod_2(X4,X1,X2)
=> r1_rlvect_1(X4,k1_rlvect_1(X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+278.ax',t26_rmod_2) ).
fof(c_0_20,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_21,plain,
! [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)
| m1_rmod_2(X4,X3,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)],[inference(fof_simplification,[status(thm)],[t32_rmod_2])])])])])]) ).
fof(c_0_22,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_20])])])])])]) ).
fof(c_0_23,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)
| m1_rmod_2(k1_rmod_2(X4,X5),X4,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)],[t50_rmod_2])])])])])]) ).
cnf(c_0_24,plain,
( m1_rmod_2(X1,X2,X1)
| 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) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_37,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_38,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_39,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_40,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_42,plain,
( m1_rmod_2(k1_rmod_2(X1,X2),X1,X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(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_23]) ).
cnf(c_0_43,negated_conjecture,
m1_rmod_2(esk2_0,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(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
fof(c_0_44,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])])])])])])]) ).
cnf(c_0_45,negated_conjecture,
m1_rmod_2(k1_rmod_2(esk1_0,esk2_0),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_42,c_0_43]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_41]),c_0_40]) ).
cnf(c_0_46,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_44]) ).
cnf(c_0_47,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_44]) ).
cnf(c_0_48,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_44]) ).
cnf(c_0_49,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_44]) ).
cnf(c_0_50,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_44]) ).
cnf(c_0_51,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_44]) ).
cnf(c_0_52,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_44]) ).
fof(c_0_53,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)
| ~ v3_vectsp_2(X5,X4)
| ~ v5_vectsp_2(X5,X4)
| ~ l1_vectsp_2(X5,X4)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v3_vectsp_2(X6,X4)
| ~ v5_vectsp_2(X6,X4)
| ~ l1_vectsp_2(X6,X4)
| ~ m1_rmod_2(X6,X4,X5)
| ~ m1_rmod_2(X5,X4,X6)
| X6 = 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)],[t33_rmod_2])])])])])]) ).
cnf(c_0_54,negated_conjecture,
m1_rmod_2(k1_rmod_2(esk1_0,esk2_0),esk1_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_42,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_41]),c_0_40]) ).
cnf(c_0_55,negated_conjecture,
v5_vectsp_2(k1_rmod_2(esk1_0,esk2_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_46,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_56,negated_conjecture,
l1_vectsp_2(k1_rmod_2(esk1_0,esk2_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_47,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_57,negated_conjecture,
v6_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_48,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_58,negated_conjecture,
v5_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_49,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_59,negated_conjecture,
v4_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_50,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_60,negated_conjecture,
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_51,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_61,negated_conjecture,
~ v3_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_52,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_62,plain,
( X1 = X2
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2)
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v3_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_53]) ).
cnf(c_0_63,negated_conjecture,
m1_rmod_2(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)),esk1_0,k1_rmod_2(esk1_0,esk2_0)),
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(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(spm,[status(thm)],[c_0_42,c_0_54]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_34]),c_0_36]),c_0_38])]),c_0_41]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]),c_0_61]) ).
fof(c_0_64,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)
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v5_vectsp_2(X7,X5)
| ~ l1_vectsp_2(X7,X5)
| v3_struct_0(X8)
| ~ v3_rlvect_1(X8)
| ~ v4_rlvect_1(X8)
| ~ v5_rlvect_1(X8)
| ~ v6_rlvect_1(X8)
| ~ v5_vectsp_2(X8,X5)
| ~ l1_vectsp_2(X8,X5)
| ~ m1_rmod_2(X6,X5,X7)
| ~ m1_rmod_2(X7,X5,X8)
| m1_rmod_2(X6,X5,X8) ),
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)],[t34_rmod_2])])])])])]) ).
cnf(c_0_65,plain,
( X1 = X2
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2)
| ~ v5_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ l1_vectsp_2(X2,X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_62,c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_66,negated_conjecture,
v5_vectsp_2(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_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_46,c_0_63]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
cnf(c_0_67,negated_conjecture,
l1_vectsp_2(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_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_47,c_0_63]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
cnf(c_0_68,negated_conjecture,
~ v3_struct_0(k1_rmod_2(esk1_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_52,c_0_63]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
cnf(c_0_69,plain,
( m1_rmod_2(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X4)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_rmod_2(X4,X2,X3)
| ~ m1_rmod_2(X1,X2,X4)
| ~ 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)
| ~ l1_vectsp_2(X4,X2)
| ~ v5_vectsp_2(X4,X2)
| ~ v6_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v3_rlvect_1(X4)
| ~ 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_64]) ).
cnf(c_0_70,negated_conjecture,
( k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)) = k1_rmod_2(esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_2(esk1_0,esk2_0),esk1_0,k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)),esk1_0)
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v3_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_65,c_0_63]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_34]),c_0_36]),c_0_38])]),c_0_41]),c_0_66]),c_0_67])]),c_0_68]) ).
cnf(c_0_71,negated_conjecture,
v3_rlvect_1(k1_rmod_2(esk1_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_51,c_0_63]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
fof(c_0_72,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_73,plain,
( m1_rmod_2(X1,X2,X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X4,X2,X3)
| ~ m1_rmod_2(X1,X2,X4)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_69,c_0_46]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_74,negated_conjecture,
( k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)) = k1_rmod_2(esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_2(esk1_0,esk2_0),esk1_0,k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)),esk1_0)
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v4_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).
cnf(c_0_75,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_72]) ).
cnf(c_0_76,negated_conjecture,
( m1_rmod_2(X1,esk1_0,esk2_0)
| v3_struct_0(X1)
| ~ m1_rmod_2(X1,esk1_0,k1_rmod_2(esk1_0,esk2_0))
| ~ l1_vectsp_2(X1,esk1_0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
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_73,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_41]),c_0_40]) ).
cnf(c_0_77,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_72]) ).
cnf(c_0_78,negated_conjecture,
v4_rlvect_1(k1_rmod_2(esk1_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_50,c_0_63]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
cnf(c_0_79,negated_conjecture,
v5_rlvect_1(k1_rmod_2(esk1_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_49,c_0_63]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
cnf(c_0_80,negated_conjecture,
( k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)) = k1_rmod_2(esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_2(esk1_0,esk2_0),esk1_0,k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v4_rlvect_1(k1_rmod_2(esk1_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_74,c_0_75]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
cnf(c_0_81,negated_conjecture,
( m1_rmod_2(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)),esk1_0,esk2_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[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_76,c_0_77]),c_0_67]),c_0_78]),c_0_71]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_68]),c_0_61]),c_0_41]),c_0_79])]) ).
cnf(c_0_82,negated_conjecture,
( k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)) = k1_rmod_2(esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_2(esk1_0,esk2_0),esk1_0,k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v5_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_78])]) ).
cnf(c_0_83,negated_conjecture,
( m1_rmod_2(k1_rmod_2(esk1_0,esk2_0),esk1_0,k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)))
| ~ v6_rlvect_1(k1_rmod_2(esk1_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_42,c_0_81]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_41]),c_0_40]) ).
fof(c_0_84,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)
| k1_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)],[t19_rmod_2])])])])])]) ).
fof(c_0_85,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)
| k1_rmod_2(X4,X6) = k1_rmod_2(X4,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)],[t47_rmod_2])])])])])]) ).
fof(c_0_86,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])])])])])])]) ).
cnf(c_0_87,negated_conjecture,
( k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)) = k1_rmod_2(esk1_0,esk2_0)
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ v6_rlvect_1(k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_79])]),c_0_83]) ).
cnf(c_0_88,negated_conjecture,
v6_rlvect_1(k1_rmod_2(esk1_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_48,c_0_63]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
cnf(c_0_89,plain,
( k1_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_84]) ).
cnf(c_0_90,plain,
( k1_rmod_2(X1,X2) = k1_rmod_2(X1,X3)
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ m1_rmod_2(X2,X1,X3)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(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) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
fof(c_0_91,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)))
| X6 = k3_rmod_4(X4,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)],[t27_rmod_4])])])])])]) ).
fof(c_0_92,plain,
! [X2] : k1_subset_1(X2) = k1_xboole_0,
inference(variable_rename,[status(thm)],[d3_subset_1]) ).
fof(c_0_93,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_94,plain,
! [X6,X7,X8,X9,X10] :
( v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v4_group_1(X7)
| ~ v6_vectsp_1(X7)
| ~ v7_vectsp_1(X7)
| ~ v8_vectsp_1(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_rmod_2(X9,X7,X8)
| ~ m1_rmod_2(X10,X7,X8)
| ~ r1_rlvect_1(X9,X6)
| ~ m1_rmod_2(X9,X7,X10)
| r1_rlvect_1(X10,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)],[t16_rmod_2])])])])])]) ).
cnf(c_0_95,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_86]) ).
cnf(c_0_96,negated_conjecture,
( k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_0)) = k1_rmod_2(esk1_0,esk2_0)
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).
cnf(c_0_97,negated_conjecture,
k1_rlvect_1(k1_rmod_2(esk1_0,esk2_0)) = k1_rlvect_1(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_89,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_98,negated_conjecture,
k1_rmod_2(esk1_0,k1_rmod_2(esk1_0,esk2_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_90,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_41]),c_0_40]) ).
cnf(c_0_99,plain,
( X1 = k3_rmod_4(X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m2_rmod_4(X1,X2,X3,k1_subset_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_91]) ).
cnf(c_0_100,plain,
k1_subset_1(X1) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_101,plain,
! [X6,X7,X8,X9,X11] :
( ( m2_rmod_4(esk3_4(X6,X7,X8,X9),X7,X8,X9)
| ~ r1_rlvect_1(k1_rmod_5(X7,X8,X9),X6)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X8)))
| 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)
| 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) )
& ( X6 = k5_rmod_4(X7,X8,esk3_4(X6,X7,X8,X9))
| ~ r1_rlvect_1(k1_rmod_5(X7,X8,X9),X6)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X8)))
| 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)
| 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) )
& ( ~ m2_rmod_4(X11,X7,X8,X9)
| X6 != k5_rmod_4(X7,X8,X11)
| r1_rlvect_1(k1_rmod_5(X7,X8,X9),X6)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X8)))
| 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)
| 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) ) ),
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)],[t9_rmod_5])])])])])])])]) ).
cnf(c_0_102,plain,
m1_subset_1(k1_subset_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_103,plain,
( r1_rlvect_1(X1,X2)
| v3_struct_0(X5)
| v3_struct_0(X4)
| ~ m1_rmod_2(X3,X4,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_rmod_2(X1,X4,X5)
| ~ m1_rmod_2(X3,X4,X5)
| ~ l1_vectsp_2(X5,X4)
| ~ v5_vectsp_2(X5,X4)
| ~ v6_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v3_rlvect_1(X5)
| ~ l3_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v6_vectsp_1(X4)
| ~ v4_group_1(X4)
| ~ v6_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v3_rlvect_1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_104,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk1_0,esk2_0),X1)
| X1 != k1_rlvect_1(esk2_0)
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_57]),c_0_32]),c_0_58]),c_0_34]),c_0_59]),c_0_36]),c_0_60]),c_0_38])]),c_0_41]),c_0_61]) ).
cnf(c_0_105,negated_conjecture,
v3_vectsp_2(k1_rmod_2(esk1_0,esk2_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_75,c_0_98]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_57]),c_0_34]),c_0_58]),c_0_36]),c_0_59]),c_0_38]),c_0_60])]),c_0_61]),c_0_41]) ).
cnf(c_0_106,plain,
( X1 = k3_rmod_4(X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v5_vectsp_2(X3,X2)
| ~ m2_rmod_4(X1,X2,X3,k1_xboole_0) ),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,plain,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(esk3_4(X4,X1,X2,X3),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)))
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_108,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_102,c_0_100]) ).
cnf(c_0_109,plain,
( r1_rlvect_1(X1,X2)
| v3_struct_0(X3)
| v3_struct_0(X4)
| ~ m1_rmod_2(X1,X4,X3)
| ~ v5_vectsp_2(X3,X4)
| ~ l1_vectsp_2(X3,X4)
| ~ v8_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v6_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| ~ v4_group_1(X4)
| ~ r1_rlvect_1(k1_rmod_2(X4,X3),X2)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X4)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X4)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X4)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_77]),c_0_42]) ).
cnf(c_0_110,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk1_0,esk2_0),X1)
| X1 != k1_rlvect_1(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
fof(c_0_111,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])])])]) ).
fof(c_0_112,plain,
! [X6,X7,X8,X9] :
( ( m1_subset_1(esk21_4(X6,X7,X8,X9),u1_struct_0(X7))
| X8 = X9
| ~ v3_vectsp_2(X9,X6)
| ~ m1_rmod_2(X9,X6,X7)
| ~ v3_vectsp_2(X8,X6)
| ~ m1_rmod_2(X8,X6,X7)
| 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)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| ~ l3_vectsp_1(X6) )
& ( ~ r1_rlvect_1(X8,esk21_4(X6,X7,X8,X9))
| ~ r1_rlvect_1(X9,esk21_4(X6,X7,X8,X9))
| X8 = X9
| ~ v3_vectsp_2(X9,X6)
| ~ m1_rmod_2(X9,X6,X7)
| ~ v3_vectsp_2(X8,X6)
| ~ m1_rmod_2(X8,X6,X7)
| 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)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| ~ l3_vectsp_1(X6) )
& ( r1_rlvect_1(X8,esk21_4(X6,X7,X8,X9))
| r1_rlvect_1(X9,esk21_4(X6,X7,X8,X9))
| X8 = X9
| ~ v3_vectsp_2(X9,X6)
| ~ m1_rmod_2(X9,X6,X7)
| ~ v3_vectsp_2(X8,X6)
| ~ m1_rmod_2(X8,X6,X7)
| 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)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| ~ l3_vectsp_1(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)],[t38_rmod_2])])])])])])])]) ).
cnf(c_0_113,plain,
( esk3_4(X1,X2,X3,k1_xboole_0) = k3_rmod_4(X2,X3)
| v10_vectsp_1(X2)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ r1_rlvect_1(k1_rmod_5(X2,X3,k1_xboole_0),X1)
| ~ 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).
cnf(c_0_114,negated_conjecture,
( r1_rlvect_1(X1,X2)
| X2 != k1_rlvect_1(esk2_0)
| ~ m1_rmod_2(X1,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_109,c_0_110]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_40]),c_0_41]) ).
cnf(c_0_115,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_111]) ).
cnf(c_0_116,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_117,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_118,negated_conjecture,
~ v10_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_119,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| X3 = X4
| r1_rlvect_1(X4,esk21_4(X1,X2,X3,X4))
| r1_rlvect_1(X3,esk21_4(X1,X2,X3,X4))
| ~ 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)
| ~ m1_rmod_2(X3,X1,X2)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_rmod_2(X4,X1,X2)
| ~ v3_vectsp_2(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_120,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_111]) ).
fof(c_0_121,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])])])])])]) ).
cnf(c_0_122,plain,
( m2_rmod_4(k3_rmod_4(X1,X2),X1,X2,k1_xboole_0)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,k1_xboole_0),X3)
| ~ 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_107,c_0_113]),c_0_108])]) ).
cnf(c_0_123,negated_conjecture,
( r1_rlvect_1(k1_rmod_5(esk1_0,esk2_0,X1),X2)
| X2 != k1_rlvect_1(esk2_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_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_114,c_0_115]),c_0_25]),c_0_26]),c_0_116]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_117]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_118]),c_0_40]),c_0_41]) ).
cnf(c_0_124,plain,
( X1 = k1_rmod_5(X2,X3,X4)
| v10_vectsp_1(X2)
| r1_rlvect_1(k1_rmod_5(X2,X3,X4),esk21_4(X2,X3,X1,k1_rmod_5(X2,X3,X4)))
| r1_rlvect_1(X1,esk21_4(X2,X3,X1,k1_rmod_5(X2,X3,X4)))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v5_vectsp_2(X3,X2)
| ~ v3_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_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)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_115]),c_0_120]) ).
cnf(c_0_125,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_22]) ).
cnf(c_0_126,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_121]) ).
cnf(c_0_127,negated_conjecture,
( m2_rmod_4(k3_rmod_4(esk1_0,esk2_0),esk1_0,esk2_0,k1_xboole_0)
| X1 != k1_rlvect_1(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_122,c_0_123]),c_0_25]),c_0_26]),c_0_116]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_117]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38]),c_0_108])]),c_0_118]),c_0_40]),c_0_41]) ).
cnf(c_0_128,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_86]) ).
cnf(c_0_129,plain,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| X4 = k5_rmod_4(X1,X2,esk3_4(X4,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)))
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_130,plain,
( X1 = k1_rmod_5(X2,X3,k1_xboole_0)
| v10_vectsp_1(X2)
| r1_rlvect_1(k1_rmod_5(X2,X3,k1_xboole_0),esk21_4(X2,X3,X1,k1_rmod_5(X2,X3,k1_xboole_0)))
| r1_rlvect_1(X1,esk21_4(X2,X3,X1,k1_rmod_5(X2,X3,k1_xboole_0)))
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v5_vectsp_2(X3,X2)
| ~ v3_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X3,X2)
| ~ v2_vectsp_2(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_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_124,c_0_108]) ).
cnf(c_0_131,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,k1_xboole_0) != k1_rmod_2(esk1_0,esk2_0),
inference(rw,[status(thm)],[c_0_125,c_0_100]) ).
cnf(c_0_132,plain,
( k5_rmod_4(X1,X2,X3) = k1_rlvect_1(X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ m2_rmod_4(X3,X1,X2,k1_xboole_0) ),
inference(rw,[status(thm)],[c_0_126,c_0_100]) ).
cnf(c_0_133,negated_conjecture,
m2_rmod_4(k3_rmod_4(esk1_0,esk2_0),esk1_0,esk2_0,k1_xboole_0),
inference(er,[status(thm)],[c_0_127]) ).
cnf(c_0_134,negated_conjecture,
( X1 = k1_rlvect_1(esk2_0)
| ~ v3_vectsp_2(k1_rmod_2(esk1_0,esk2_0),esk1_0)
| ~ r1_rlvect_1(k1_rmod_2(esk1_0,esk2_0),X1) ),
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_128,c_0_96]),c_0_97]),c_0_55]),c_0_56]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_57]),c_0_32]),c_0_58]),c_0_34]),c_0_59]),c_0_36]),c_0_60]),c_0_38])]),c_0_41]),c_0_61]) ).
fof(c_0_135,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])])])])])]) ).
fof(c_0_136,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_rmod_2(X7,X5,X6)
| ~ m1_rmod_2(X8,X5,X6)
| r1_rlvect_1(X8,k1_rlvect_1(X7)) ),
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)],[t26_rmod_2])])])])])]) ).
cnf(c_0_137,plain,
( k5_rmod_4(X1,X2,k3_rmod_4(X1,X2)) = X3
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,k1_xboole_0),X3)
| ~ 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_129,c_0_113]),c_0_108])]) ).
cnf(c_0_138,negated_conjecture,
( r1_rlvect_1(k1_rmod_5(esk1_0,esk2_0,k1_xboole_0),esk21_4(esk1_0,esk2_0,k1_rmod_2(esk1_0,esk2_0),k1_rmod_5(esk1_0,esk2_0,k1_xboole_0)))
| r1_rlvect_1(k1_rmod_2(esk1_0,esk2_0),esk21_4(esk1_0,esk2_0,k1_rmod_2(esk1_0,esk2_0),k1_rmod_5(esk1_0,esk2_0,k1_xboole_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_130,c_0_45]),c_0_25]),c_0_105]),c_0_26]),c_0_116]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_117]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_131]),c_0_118]),c_0_41]),c_0_40]) ).
cnf(c_0_139,negated_conjecture,
k5_rmod_4(esk1_0,esk2_0,k3_rmod_4(esk1_0,esk2_0)) = k1_rlvect_1(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_132,c_0_133]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_41]),c_0_40]) ).
cnf(c_0_140,negated_conjecture,
( X1 = k1_rlvect_1(esk2_0)
| ~ r1_rlvect_1(k1_rmod_2(esk1_0,esk2_0),X1) ),
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_134,c_0_75]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_141,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_135]) ).
cnf(c_0_142,plain,
( r1_rlvect_1(X1,k1_rlvect_1(X2))
| v3_struct_0(X4)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X3,X4)
| ~ m1_rmod_2(X2,X3,X4)
| ~ l1_vectsp_2(X4,X3)
| ~ v5_vectsp_2(X4,X3)
| ~ v6_rlvect_1(X4)
| ~ v5_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v3_rlvect_1(X4)
| ~ 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_136]) ).
cnf(c_0_143,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| X3 = X4
| ~ 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)
| ~ m1_rmod_2(X3,X1,X2)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_rmod_2(X4,X1,X2)
| ~ v3_vectsp_2(X4,X1)
| ~ r1_rlvect_1(X4,esk21_4(X1,X2,X3,X4))
| ~ r1_rlvect_1(X3,esk21_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_144,negated_conjecture,
esk21_4(esk1_0,esk2_0,k1_rmod_2(esk1_0,esk2_0),k1_rmod_5(esk1_0,esk2_0,k1_xboole_0)) = k1_rlvect_1(esk2_0),
inference(csr,[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_137,c_0_138]),c_0_139]),c_0_25]),c_0_26]),c_0_116]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_117]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_118]),c_0_40]),c_0_41]),c_0_140]) ).
cnf(c_0_145,negated_conjecture,
r1_rlvect_1(k1_rmod_2(esk1_0,esk2_0),k1_rlvect_1(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_141,c_0_45]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_146,negated_conjecture,
( r1_rlvect_1(X1,k1_rlvect_1(esk2_0))
| ~ m1_rmod_2(X1,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_142,c_0_43]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_41]),c_0_40]) ).
cnf(c_0_147,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k1_xboole_0),esk1_0,esk2_0)
| ~ v3_vectsp_2(k1_rmod_5(esk1_0,esk2_0,k1_xboole_0),esk1_0) ),
inference(csr,[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_143,c_0_144]),c_0_45]),c_0_25]),c_0_105]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_145]),c_0_33]),c_0_32]),c_0_35]),c_0_34]),c_0_37]),c_0_36]),c_0_39]),c_0_38])]),c_0_131]),c_0_41]),c_0_40]),c_0_146]) ).
cnf(c_0_148,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k1_xboole_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_147,c_0_120]),c_0_25]),c_0_26]),c_0_116]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_117]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_108])]),c_0_118]),c_0_40]),c_0_41]) ).
cnf(c_0_149,negated_conjecture,
$false,
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_148,c_0_115]),c_0_25]),c_0_26]),c_0_116]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_117]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_108])]),c_0_118]),c_0_40]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : ALG217+2 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 06:05:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.57/23.58 eprover: CPU time limit exceeded, terminating
% 0.57/23.59 eprover: CPU time limit exceeded, terminating
% 0.57/23.59 eprover: CPU time limit exceeded, terminating
% 0.57/23.62 eprover: CPU time limit exceeded, terminating
% 0.74/46.60 eprover: CPU time limit exceeded, terminating
% 0.74/46.60 eprover: CPU time limit exceeded, terminating
% 0.74/46.60 eprover: CPU time limit exceeded, terminating
% 0.74/46.64 eprover: CPU time limit exceeded, terminating
% 0.91/69.62 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.91/69.62
% 0.91/69.62 eprover: CPU time limit exceeded, terminating
% 0.91/69.65 eprover: CPU time limit exceeded, terminating
% 1.09/92.63 eprover: CPU time limit exceeded, terminating
% 1.09/92.64 eprover: CPU time limit exceeded, terminating
% 1.09/92.64 eprover: CPU time limit exceeded, terminating
% 1.09/92.67 eprover: CPU time limit exceeded, terminating
% 1.25/115.65 eprover: CPU time limit exceeded, terminating
% 1.25/115.65 eprover: CPU time limit exceeded, terminating
% 1.25/115.66 eprover: CPU time limit exceeded, terminating
% 1.25/115.69 eprover: CPU time limit exceeded, terminating
% 1.42/138.66 eprover: CPU time limit exceeded, terminating
% 1.42/138.67 eprover: CPU time limit exceeded, terminating
% 1.42/138.67 eprover: CPU time limit exceeded, terminating
% 1.42/138.71 eprover: CPU time limit exceeded, terminating
% 1.60/161.68 eprover: CPU time limit exceeded, terminating
% 1.60/161.69 eprover: CPU time limit exceeded, terminating
% 1.60/161.71 eprover: CPU time limit exceeded, terminating
% 1.60/161.73 eprover: CPU time limit exceeded, terminating
% 1.77/184.69 eprover: CPU time limit exceeded, terminating
% 1.77/184.70 eprover: CPU time limit exceeded, terminating
% 1.77/184.72 eprover: CPU time limit exceeded, terminating
% 1.77/184.74 eprover: CPU time limit exceeded, terminating
% 1.95/207.71 eprover: CPU time limit exceeded, terminating
% 1.95/207.72 eprover: CPU time limit exceeded, terminating
% 1.95/207.74 eprover: CPU time limit exceeded, terminating
% 1.95/207.76 eprover: CPU time limit exceeded, terminating
% 2.12/230.73 eprover: CPU time limit exceeded, terminating
% 2.12/230.75 eprover: CPU time limit exceeded, terminating
% 2.12/230.75 eprover: CPU time limit exceeded, terminating
% 2.12/230.77 eprover: CPU time limit exceeded, terminating
% 2.18/239.34 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # Preprocessing time : 0.708 s
% 2.18/239.34 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 2.18/239.34 # Preprocessing time : 0.185 s
% 2.18/239.34 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # Preprocessing time : 0.628 s
% 2.18/239.34 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # Preprocessing time : 0.623 s
% 2.18/239.34 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 2.18/239.34 # Preprocessing time : 0.153 s
% 2.18/239.34 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # Preprocessing time : 0.743 s
% 2.18/239.34 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 2.18/239.34 # Preprocessing time : 0.184 s
% 2.18/239.34 # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 2.18/239.34 # Preprocessing time : 0.204 s
% 2.18/239.34 # Running protocol protocol_eprover_6c6e328223588bd61ac14315e52cd57432d78a40 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,04,20000,1.0)
% 2.18/239.34 # Preprocessing time : 0.159 s
% 2.18/239.34 # Running protocol protocol_eprover_d060f57557112503de4e70311f17201fbe20b6a3 for 23 seconds:
% 2.18/239.34
% 2.18/239.34 # Failure: Resource limit exceeded (time)
% 2.18/239.34 # OLD status Res
% 2.18/239.34 # Preprocessing time : 0.598 s
% 2.18/239.34 # Running protocol protocol_eprover_7e73d521eed2eff17dc17155adefb3ab5d9c1092 for 23 seconds:
% 2.18/239.34 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,03,80,1.0)
% 2.18/239.34 # Preprocessing time : 0.088 s
% 2.18/239.34
% 2.18/239.34 # Proof found!
% 2.18/239.34 # SZS status Theorem
% 2.18/239.34 # SZS output start CNFRefutation
% See solution above
% 2.18/239.34 # Proof object total steps : 150
% 2.18/239.34 # Proof object clause steps : 109
% 2.18/239.34 # Proof object formula steps : 41
% 2.18/239.34 # Proof object conjectures : 71
% 2.18/239.34 # Proof object clause conjectures : 68
% 2.18/239.34 # Proof object formula conjectures : 3
% 2.18/239.34 # Proof object initial clauses used : 51
% 2.18/239.34 # Proof object initial formulas used : 20
% 2.18/239.34 # Proof object generating inferences : 47
% 2.18/239.34 # Proof object simplifying inferences : 793
% 2.18/239.34 # Training examples: 0 positive, 0 negative
% 2.18/239.34 # Parsed axioms : 3457
% 2.18/239.34 # Removed by relevancy pruning/SinE : 3376
% 2.18/239.34 # Initial clauses : 233
% 2.18/239.34 # Removed in clause preprocessing : 42
% 2.18/239.34 # Initial clauses in saturation : 191
% 2.18/239.34 # Processed clauses : 4562
% 2.18/239.34 # ...of these trivial : 115
% 2.18/239.34 # ...subsumed : 1895
% 2.18/239.34 # ...remaining for further processing : 2552
% 2.18/239.34 # Other redundant clauses eliminated : 8
% 2.18/239.34 # Clauses deleted for lack of memory : 34875
% 2.18/239.34 # Backward-subsumed : 305
% 2.18/239.34 # Backward-rewritten : 110
% 2.18/239.34 # Generated clauses : 98509
% 2.18/239.34 # ...of the previous two non-trivial : 91305
% 2.18/239.34 # Contextual simplify-reflections : 6552
% 2.18/239.34 # Paramodulations : 98488
% 2.18/239.34 # Factorizations : 0
% 2.18/239.34 # Equation resolutions : 21
% 2.18/239.34 # Current number of processed clauses : 2137
% 2.18/239.34 # Positive orientable unit clauses : 73
% 2.18/239.34 # Positive unorientable unit clauses: 0
% 2.18/239.34 # Negative unit clauses : 13
% 2.18/239.34 # Non-unit-clauses : 2051
% 2.18/239.34 # Current number of unprocessed clauses: 50694
% 2.18/239.34 # ...number of literals in the above : 975337
% 2.18/239.34 # Current number of archived formulas : 0
% 2.18/239.34 # Current number of archived clauses : 416
% 2.18/239.34 # Clause-clause subsumption calls (NU) : 5525332
% 2.18/239.34 # Rec. Clause-clause subsumption calls : 100666
% 2.18/239.34 # Non-unit clause-clause subsumptions : 8394
% 2.18/239.34 # Unit Clause-clause subsumption calls : 5135
% 2.18/239.34 # Rewrite failures with RHS unbound : 0
% 2.18/239.34 # BW rewrite match attempts : 97
% 2.18/239.34 # BW rewrite match successes : 20
% 2.18/239.34 # Condensation attempts : 0
% 2.18/239.34 # Condensation successes : 0
% 2.18/239.34 # Termbank termtop insertions : 7766705
% 2.18/239.34
% 2.18/239.34 # -------------------------------------------------
% 2.18/239.34 # User time : 8.245 s
% 2.18/239.34 # System time : 0.120 s
% 2.18/239.34 # Total time : 8.365 s
% 2.18/239.34 # Maximum resident set size: 148636 pages
% 2.18/253.76 eprover: CPU time limit exceeded, terminating
% 2.18/253.78 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.18/253.78 eprover: No such file or directory
% 2.18/253.79 eprover: CPU time limit exceeded, terminating
% 2.18/253.80 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.18/253.80 eprover: No such file or directory
% 2.18/253.92 eprover: CPU time limit exceeded, terminating
%------------------------------------------------------------------------------