TSTP Solution File: ALG220+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG220+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 04:28:52 EST 2010
% Result : Theorem 0.56s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 98
% Number of leaves : 5
% Syntax : Number of formulae : 163 ( 29 unt; 0 def)
% Number of atoms : 3022 ( 94 equ)
% Maximal formula atoms : 133 ( 18 avg)
% Number of connectives : 4473 (1614 ~;2488 |; 332 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 18 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 230 ( 0 sgn 80 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,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('/tmp/tmpAgOwIz/sel_ALG220+1.p_1',dt_k1_rmod_5) ).
fof(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)
& 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('/tmp/tmpAgOwIz/sel_ALG220+1.p_1',t33_rmod_2) ).
fof(26,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r1_tarski(X3,X4)
=> m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
file('/tmp/tmpAgOwIz/sel_ALG220+1.p_1',t15_rmod_5) ).
fof(31,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)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( k1_rmod_5(X1,X2,X3) = X2
& r1_tarski(X3,X4) )
=> k1_rmod_5(X1,X2,X4) = X2 ) ) ) ) ),
file('/tmp/tmpAgOwIz/sel_ALG220+1.p_1',t16_rmod_5) ).
fof(46,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('/tmp/tmpAgOwIz/sel_ALG220+1.p_1',dt_m1_rmod_2) ).
fof(70,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)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( k1_rmod_5(X1,X2,X3) = X2
& r1_tarski(X3,X4) )
=> k1_rmod_5(X1,X2,X4) = X2 ) ) ) ) ),
inference(assume_negation,[status(cth)],[31]) ).
fof(71,plain,
! [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) ) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(72,plain,
! [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 ) ) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(82,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r1_tarski(X3,X4)
=> m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[26,theory(equality)]) ).
fof(83,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)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( k1_rmod_5(X1,X2,X3) = X2
& r1_tarski(X3,X4) )
=> k1_rmod_5(X1,X2,X4) = X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[70,theory(equality)]) ).
fof(86,plain,
! [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) ) ) ),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(93,plain,
! [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) ) ),
inference(fof_nnf,[status(thm)],[71]) ).
fof(94,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)
| ~ 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)))
| ( v3_vectsp_2(k1_rmod_5(X4,X5,X6),X4)
& m1_rmod_2(k1_rmod_5(X4,X5,X6),X4,X5) ) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,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)],[94]) ).
cnf(96,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)],[95]) ).
cnf(97,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)],[95]) ).
fof(102,plain,
! [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 ) ) ),
inference(fof_nnf,[status(thm)],[72]) ).
fof(103,plain,
! [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)
| ~ v6_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ l3_vectsp_1(X4)
| ! [X5] :
( 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)
| ! [X6] :
( 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(variable_rename,[status(thm)],[102]) ).
fof(104,plain,
! [X4,X5,X6] :
( 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
| 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(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) ),
inference(shift_quantors,[status(thm)],[103]) ).
cnf(105,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| X3 = X2
| v3_struct_0(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)
| ~ v3_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_rmod_2(X2,X1,X3)
| ~ m1_rmod_2(X3,X1,X2)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ v3_vectsp_2(X3,X1)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3) ),
inference(split_conjunct,[status(thm)],[104]) ).
fof(199,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ! [X2] :
( v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_tarski(X3,X4)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ),
inference(fof_nnf,[status(thm)],[82]) ).
fof(200,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v7_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| v10_vectsp_1(X5)
| ~ v2_vectsp_2(X5)
| ~ l3_vectsp_1(X5)
| ! [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)
| ! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ! [X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
| ~ r1_tarski(X7,X8)
| m1_rmod_2(k1_rmod_5(X5,X6,X7),X5,k1_rmod_5(X5,X6,X8)) ) ) ) ),
inference(variable_rename,[status(thm)],[199]) ).
fof(201,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
| ~ r1_tarski(X7,X8)
| m1_rmod_2(k1_rmod_5(X5,X6,X7),X5,k1_rmod_5(X5,X6,X8))
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v7_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| v10_vectsp_1(X5)
| ~ v2_vectsp_2(X5)
| ~ l3_vectsp_1(X5) ),
inference(shift_quantors,[status(thm)],[200]) ).
cnf(202,plain,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4))
| ~ 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_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[201]) ).
fof(216,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)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
& k1_rmod_5(X1,X2,X3) = X2
& r1_tarski(X3,X4)
& k1_rmod_5(X1,X2,X4) != X2 ) ) ) ),
inference(fof_nnf,[status(thm)],[83]) ).
fof(217,negated_conjecture,
? [X5] :
( ~ v3_struct_0(X5)
& v3_rlvect_1(X5)
& v4_rlvect_1(X5)
& v5_rlvect_1(X5)
& v6_rlvect_1(X5)
& v4_group_1(X5)
& v7_group_1(X5)
& v6_vectsp_1(X5)
& v7_vectsp_1(X5)
& v8_vectsp_1(X5)
& ~ v10_vectsp_1(X5)
& v2_vectsp_2(X5)
& l3_vectsp_1(X5)
& ? [X6] :
( ~ v3_struct_0(X6)
& v3_rlvect_1(X6)
& v4_rlvect_1(X6)
& v5_rlvect_1(X6)
& v6_rlvect_1(X6)
& v3_vectsp_2(X6,X5)
& v5_vectsp_2(X6,X5)
& l1_vectsp_2(X6,X5)
& ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
& ? [X8] :
( m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
& k1_rmod_5(X5,X6,X7) = X6
& r1_tarski(X7,X8)
& k1_rmod_5(X5,X6,X8) != X6 ) ) ) ),
inference(variable_rename,[status(thm)],[216]) ).
fof(218,negated_conjecture,
( ~ v3_struct_0(esk11_0)
& v3_rlvect_1(esk11_0)
& v4_rlvect_1(esk11_0)
& v5_rlvect_1(esk11_0)
& v6_rlvect_1(esk11_0)
& v4_group_1(esk11_0)
& v7_group_1(esk11_0)
& v6_vectsp_1(esk11_0)
& v7_vectsp_1(esk11_0)
& v8_vectsp_1(esk11_0)
& ~ v10_vectsp_1(esk11_0)
& v2_vectsp_2(esk11_0)
& l3_vectsp_1(esk11_0)
& ~ v3_struct_0(esk12_0)
& v3_rlvect_1(esk12_0)
& v4_rlvect_1(esk12_0)
& v5_rlvect_1(esk12_0)
& v6_rlvect_1(esk12_0)
& v3_vectsp_2(esk12_0,esk11_0)
& v5_vectsp_2(esk12_0,esk11_0)
& l1_vectsp_2(esk12_0,esk11_0)
& m1_subset_1(esk13_0,k1_zfmisc_1(u1_struct_0(esk12_0)))
& m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk12_0)))
& k1_rmod_5(esk11_0,esk12_0,esk13_0) = esk12_0
& r1_tarski(esk13_0,esk14_0)
& k1_rmod_5(esk11_0,esk12_0,esk14_0) != esk12_0 ),
inference(skolemize,[status(esa)],[217]) ).
cnf(219,negated_conjecture,
k1_rmod_5(esk11_0,esk12_0,esk14_0) != esk12_0,
inference(split_conjunct,[status(thm)],[218]) ).
cnf(220,negated_conjecture,
r1_tarski(esk13_0,esk14_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(221,negated_conjecture,
k1_rmod_5(esk11_0,esk12_0,esk13_0) = esk12_0,
inference(split_conjunct,[status(thm)],[218]) ).
cnf(222,negated_conjecture,
m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk12_0))),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(223,negated_conjecture,
m1_subset_1(esk13_0,k1_zfmisc_1(u1_struct_0(esk12_0))),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(224,negated_conjecture,
l1_vectsp_2(esk12_0,esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(225,negated_conjecture,
v5_vectsp_2(esk12_0,esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(226,negated_conjecture,
v3_vectsp_2(esk12_0,esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(227,negated_conjecture,
v6_rlvect_1(esk12_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(228,negated_conjecture,
v5_rlvect_1(esk12_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(229,negated_conjecture,
v4_rlvect_1(esk12_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(230,negated_conjecture,
v3_rlvect_1(esk12_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(231,negated_conjecture,
~ v3_struct_0(esk12_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(232,negated_conjecture,
l3_vectsp_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(233,negated_conjecture,
v2_vectsp_2(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(234,negated_conjecture,
~ v10_vectsp_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(235,negated_conjecture,
v8_vectsp_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(236,negated_conjecture,
v7_vectsp_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(237,negated_conjecture,
v6_vectsp_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(238,negated_conjecture,
v7_group_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(239,negated_conjecture,
v4_group_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(240,negated_conjecture,
v6_rlvect_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(241,negated_conjecture,
v5_rlvect_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(242,negated_conjecture,
v4_rlvect_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(243,negated_conjecture,
v3_rlvect_1(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
cnf(244,negated_conjecture,
~ v3_struct_0(esk11_0),
inference(split_conjunct,[status(thm)],[218]) ).
fof(286,plain,
! [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) ) ) ),
inference(fof_nnf,[status(thm)],[86]) ).
fof(287,plain,
! [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)
| ! [X6] :
( ~ m1_rmod_2(X6,X4,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,X4)
& l1_vectsp_2(X6,X4) ) ) ),
inference(variable_rename,[status(thm)],[286]) ).
fof(288,plain,
! [X4,X5,X6] :
( ~ m1_rmod_2(X6,X4,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,X4)
& l1_vectsp_2(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)
| ~ 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(shift_quantors,[status(thm)],[287]) ).
fof(289,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)],[288]) ).
cnf(290,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)],[289]) ).
cnf(291,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)],[289]) ).
cnf(292,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)],[289]) ).
cnf(293,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)],[289]) ).
cnf(294,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)],[289]) ).
cnf(295,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)],[289]) ).
cnf(296,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)],[289]) ).
cnf(511,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| ~ m1_subset_1(esk13_0,k1_zfmisc_1(u1_struct_0(esk12_0)))
| ~ l1_vectsp_2(esk12_0,esk11_0)
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(spm,[status(thm)],[202,221,theory(equality)]) ).
cnf(520,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| ~ l1_vectsp_2(esk12_0,esk11_0)
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[511,223,theory(equality)]) ).
cnf(521,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[520,224,theory(equality)]) ).
cnf(522,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[521,225,theory(equality)]) ).
cnf(523,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[522,232,theory(equality)]) ).
cnf(524,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[523,233,theory(equality)]) ).
cnf(525,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[524,235,theory(equality)]) ).
cnf(526,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[525,236,theory(equality)]) ).
cnf(527,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[526,237,theory(equality)]) ).
cnf(528,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[527,238,theory(equality)]) ).
cnf(529,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[528,239,theory(equality)]) ).
cnf(530,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[529,227,theory(equality)]) ).
cnf(531,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[530,240,theory(equality)]) ).
cnf(532,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[531,228,theory(equality)]) ).
cnf(533,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[532,241,theory(equality)]) ).
cnf(534,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[533,229,theory(equality)]) ).
cnf(535,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[534,242,theory(equality)]) ).
cnf(536,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk11_0) ),
inference(rw,[status(thm)],[535,230,theory(equality)]) ).
cnf(537,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[536,243,theory(equality)]) ).
cnf(538,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(cn,[status(thm)],[537,theory(equality)]) ).
cnf(539,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[538,234,theory(equality)]) ).
cnf(540,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| v3_struct_0(esk12_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[539,244,theory(equality)]) ).
cnf(541,negated_conjecture,
( m1_rmod_2(esk12_0,esk11_0,k1_rmod_5(esk11_0,esk12_0,X1))
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[540,231,theory(equality)]) ).
cnf(564,plain,
( X2 = X3
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ m1_rmod_2(X2,X1,X3)
| ~ v3_vectsp_2(X3,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(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)],[105,290]) ).
cnf(565,plain,
( X2 = X3
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ m1_rmod_2(X2,X1,X3)
| ~ v3_vectsp_2(X3,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ 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)],[564,291]) ).
cnf(566,plain,
( X2 = X3
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ m1_rmod_2(X2,X1,X3)
| ~ v3_vectsp_2(X3,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X3)
| ~ 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)],[565,292]) ).
cnf(567,plain,
( X2 = X3
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ m1_rmod_2(X2,X1,X3)
| ~ v3_vectsp_2(X3,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ 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)],[566,293]) ).
cnf(568,plain,
( X2 = X3
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ m1_rmod_2(X2,X1,X3)
| ~ v3_vectsp_2(X3,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(csr,[status(thm)],[567,294]) ).
cnf(569,plain,
( X2 = X3
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ m1_rmod_2(X2,X1,X3)
| ~ v3_vectsp_2(X3,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X3) ),
inference(csr,[status(thm)],[568,295]) ).
cnf(570,plain,
( X2 = X3
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ m1_rmod_2(X2,X1,X3)
| ~ v3_vectsp_2(X3,X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X3)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X3)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X3)
| ~ v3_rlvect_1(X1) ),
inference(csr,[status(thm)],[569,296]) ).
cnf(836,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ v3_vectsp_2(esk12_0,esk11_0)
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| ~ l1_vectsp_2(esk12_0,esk11_0)
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(spm,[status(thm)],[570,541,theory(equality)]) ).
cnf(918,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| ~ l1_vectsp_2(esk12_0,esk11_0)
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[836,226,theory(equality)]) ).
cnf(919,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[918,224,theory(equality)]) ).
cnf(920,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| ~ l3_vectsp_1(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[919,225,theory(equality)]) ).
cnf(921,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[920,232,theory(equality)]) ).
cnf(922,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[921,235,theory(equality)]) ).
cnf(923,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| ~ v6_vectsp_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[922,236,theory(equality)]) ).
cnf(924,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[923,237,theory(equality)]) ).
cnf(925,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[924,239,theory(equality)]) ).
cnf(926,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[925,227,theory(equality)]) ).
cnf(927,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[926,240,theory(equality)]) ).
cnf(928,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[927,228,theory(equality)]) ).
cnf(929,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[928,241,theory(equality)]) ).
cnf(930,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[929,229,theory(equality)]) ).
cnf(931,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[930,242,theory(equality)]) ).
cnf(932,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[931,230,theory(equality)]) ).
cnf(933,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| $false
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(rw,[status(thm)],[932,243,theory(equality)]) ).
cnf(934,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(cn,[status(thm)],[933,theory(equality)]) ).
cnf(935,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk12_0)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[934,244,theory(equality)]) ).
cnf(936,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ v3_vectsp_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[935,231,theory(equality)]) ).
cnf(3063,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| ~ l1_vectsp_2(esk12_0,esk11_0)
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(spm,[status(thm)],[936,97,theory(equality)]) ).
cnf(3064,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3063,224,theory(equality)]) ).
cnf(3065,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3064,225,theory(equality)]) ).
cnf(3066,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3065,232,theory(equality)]) ).
cnf(3067,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3066,233,theory(equality)]) ).
cnf(3068,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3067,235,theory(equality)]) ).
cnf(3069,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3068,236,theory(equality)]) ).
cnf(3070,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3069,237,theory(equality)]) ).
cnf(3071,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3070,238,theory(equality)]) ).
cnf(3072,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3071,239,theory(equality)]) ).
cnf(3073,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3072,240,theory(equality)]) ).
cnf(3074,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3073,227,theory(equality)]) ).
cnf(3075,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3074,241,theory(equality)]) ).
cnf(3076,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3075,228,theory(equality)]) ).
cnf(3077,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3076,242,theory(equality)]) ).
cnf(3078,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3077,229,theory(equality)]) ).
cnf(3079,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3078,243,theory(equality)]) ).
cnf(3080,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3079,230,theory(equality)]) ).
cnf(3081,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(cn,[status(thm)],[3080,theory(equality)]) ).
cnf(3082,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[3081,234,theory(equality)]) ).
cnf(3083,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[3082,231,theory(equality)]) ).
cnf(3084,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| ~ r1_tarski(esk13_0,X1)
| ~ m1_rmod_2(k1_rmod_5(esk11_0,esk12_0,X1),esk11_0,esk12_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[3083,244,theory(equality)]) ).
cnf(3085,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| ~ l1_vectsp_2(esk12_0,esk11_0)
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(spm,[status(thm)],[3084,96,theory(equality)]) ).
cnf(3087,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| ~ v5_vectsp_2(esk12_0,esk11_0)
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3085,224,theory(equality)]) ).
cnf(3088,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| ~ l3_vectsp_1(esk11_0)
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3087,225,theory(equality)]) ).
cnf(3089,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| ~ v2_vectsp_2(esk11_0)
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3088,232,theory(equality)]) ).
cnf(3090,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| ~ v8_vectsp_1(esk11_0)
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3089,233,theory(equality)]) ).
cnf(3091,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk11_0)
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3090,235,theory(equality)]) ).
cnf(3092,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_vectsp_1(esk11_0)
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3091,236,theory(equality)]) ).
cnf(3093,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v7_group_1(esk11_0)
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3092,237,theory(equality)]) ).
cnf(3094,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk11_0)
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3093,238,theory(equality)]) ).
cnf(3095,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk11_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3094,239,theory(equality)]) ).
cnf(3096,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3095,240,theory(equality)]) ).
cnf(3097,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk11_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3096,227,theory(equality)]) ).
cnf(3098,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3097,241,theory(equality)]) ).
cnf(3099,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk11_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3098,228,theory(equality)]) ).
cnf(3100,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3099,242,theory(equality)]) ).
cnf(3101,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk11_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3100,229,theory(equality)]) ).
cnf(3102,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[3101,243,theory(equality)]) ).
cnf(3103,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3102,230,theory(equality)]) ).
cnf(3104,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v10_vectsp_1(esk11_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(cn,[status(thm)],[3103,theory(equality)]) ).
cnf(3105,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk12_0)
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[3104,234,theory(equality)]) ).
cnf(3106,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| v3_struct_0(esk11_0)
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[3105,231,theory(equality)]) ).
cnf(3107,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,X1) = esk12_0
| ~ r1_tarski(esk13_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk12_0))) ),
inference(sr,[status(thm)],[3106,244,theory(equality)]) ).
cnf(3110,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,esk14_0) = esk12_0
| ~ r1_tarski(esk13_0,esk14_0) ),
inference(spm,[status(thm)],[3107,222,theory(equality)]) ).
cnf(3135,negated_conjecture,
( k1_rmod_5(esk11_0,esk12_0,esk14_0) = esk12_0
| $false ),
inference(rw,[status(thm)],[3110,220,theory(equality)]) ).
cnf(3136,negated_conjecture,
k1_rmod_5(esk11_0,esk12_0,esk14_0) = esk12_0,
inference(cn,[status(thm)],[3135,theory(equality)]) ).
cnf(3137,negated_conjecture,
$false,
inference(sr,[status(thm)],[3136,219,theory(equality)]) ).
cnf(3138,negated_conjecture,
$false,
3137,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG220+1.p
% --creating new selector for []
% -running prover on /tmp/tmpAgOwIz/sel_ALG220+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG220+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG220+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG220+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------