TSTP Solution File: ALG219+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG219+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 04:25:30 EST 2010
% Result : Theorem 2.92s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 12
% Syntax : Number of formulae : 142 ( 32 unt; 0 def)
% Number of atoms : 1556 ( 126 equ)
% Maximal formula atoms : 36 ( 10 avg)
% Number of connectives : 2205 ( 791 ~;1111 |; 264 &)
% ( 1 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 162 ( 2 sgn 84 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,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(k2_rmod_2(X1,X2),X1)
& m1_rmod_2(k2_rmod_2(X1,X2),X1,X2) ) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',dt_k2_rmod_2) ).
fof(15,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',reflexivity_r1_tarski) ).
fof(16,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',dt_l3_vectsp_1) ).
fof(17,axiom,
! [X1] :
( l1_rlvect_1(X1)
=> l2_struct_0(X1) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',dt_l1_rlvect_1) ).
fof(21,axiom,
! [X1,X2] :
( ( l1_struct_0(X1)
& l1_vectsp_2(X2,X1) )
=> ( v3_vectsp_2(X2,X1)
=> X2 = g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) ) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',abstractness_v3_vectsp_2) ).
fof(24,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',t3_subset) ).
fof(26,axiom,
! [X1] :
( l2_struct_0(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',dt_l2_struct_0) ).
fof(32,axiom,
! [X1] :
( l2_vectsp_1(X1)
=> ( l1_vectsp_1(X1)
& l2_struct_0(X1) ) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',dt_l2_vectsp_1) ).
fof(34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( ( v3_vectsp_2(X4,X1)
& m1_rmod_2(X4,X1,X2) )
=> ( X3 = u1_struct_0(X4)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X4 ) ) ) ) ) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',t13_rmod_5) ).
fof(36,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)))
=> ( X3 = u1_struct_0(X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X2 ) ) ) ) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',t14_rmod_5) ).
fof(47,axiom,
! [X1] :
( l1_vectsp_1(X1)
=> ( ( ~ v3_struct_0(X1)
& v7_group_1(X1)
& v8_vectsp_1(X1) )
=> ( ~ v3_struct_0(X1)
& v2_group_1(X1)
& v6_vectsp_1(X1)
& v8_vectsp_1(X1) ) ) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',cc2_vectsp_2) ).
fof(66,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) )
=> k2_rmod_2(X1,X2) = g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) ) ),
file('/tmp/tmpt3cLlo/sel_ALG219+1.p_1',d4_rmod_2) ).
fof(73,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)))
=> ( X3 = u1_struct_0(X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X2 ) ) ) ) ),
inference(assume_negation,[status(cth)],[36]) ).
fof(75,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) )
=> ( v3_vectsp_2(k2_rmod_2(X1,X2),X1)
& m1_rmod_2(k2_rmod_2(X1,X2),X1,X2) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(86,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] :
( ( v3_vectsp_2(X4,X1)
& m1_rmod_2(X4,X1,X2) )
=> ( X3 = u1_struct_0(X4)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X4 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).
fof(88,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)))
=> ( X3 = u1_struct_0(X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[73,theory(equality)]) ).
fof(91,plain,
! [X1] :
( l1_vectsp_1(X1)
=> ( ( ~ v3_struct_0(X1)
& v7_group_1(X1)
& v8_vectsp_1(X1) )
=> ( ~ v3_struct_0(X1)
& v2_group_1(X1)
& v6_vectsp_1(X1)
& v8_vectsp_1(X1) ) ) ),
inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).
fof(95,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)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> k2_rmod_2(X1,X2) = g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[66,theory(equality)]) ).
fof(113,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)
| ( v3_vectsp_2(k2_rmod_2(X1,X2),X1)
& m1_rmod_2(k2_rmod_2(X1,X2),X1,X2) ) ),
inference(fof_nnf,[status(thm)],[75]) ).
fof(114,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)
| ( v3_vectsp_2(k2_rmod_2(X3,X4),X3)
& m1_rmod_2(k2_rmod_2(X3,X4),X3,X4) ) ),
inference(variable_rename,[status(thm)],[113]) ).
fof(115,plain,
! [X3,X4] :
( ( v3_vectsp_2(k2_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(k2_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)],[114]) ).
cnf(116,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_rmod_2(k2_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)],[115]) ).
fof(157,plain,
! [X3,X4] : r1_tarski(X3,X3),
inference(variable_rename,[status(thm)],[15]) ).
cnf(158,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[157]) ).
fof(159,plain,
! [X1] :
( ~ l3_vectsp_1(X1)
| ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(160,plain,
! [X2] :
( ~ l3_vectsp_1(X2)
| ( l1_rlvect_1(X2)
& l2_vectsp_1(X2) ) ),
inference(variable_rename,[status(thm)],[159]) ).
fof(161,plain,
! [X2] :
( ( l1_rlvect_1(X2)
| ~ l3_vectsp_1(X2) )
& ( l2_vectsp_1(X2)
| ~ l3_vectsp_1(X2) ) ),
inference(distribute,[status(thm)],[160]) ).
cnf(162,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[161]) ).
cnf(163,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[161]) ).
fof(164,plain,
! [X1] :
( ~ l1_rlvect_1(X1)
| l2_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(165,plain,
! [X2] :
( ~ l1_rlvect_1(X2)
| l2_struct_0(X2) ),
inference(variable_rename,[status(thm)],[164]) ).
cnf(166,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[165]) ).
fof(187,plain,
! [X1,X2] :
( ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_vectsp_2(X2,X1)
| X2 = g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(188,plain,
! [X3,X4] :
( ~ l1_struct_0(X3)
| ~ l1_vectsp_2(X4,X3)
| ~ v3_vectsp_2(X4,X3)
| X4 = g1_vectsp_2(X3,u1_struct_0(X4),u1_rlvect_1(X4),u2_struct_0(X4),u1_vectsp_2(X3,X4)) ),
inference(variable_rename,[status(thm)],[187]) ).
cnf(189,plain,
( X1 = g1_vectsp_2(X2,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X2,X1))
| ~ v3_vectsp_2(X1,X2)
| ~ l1_vectsp_2(X1,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[188]) ).
fof(197,plain,
! [X1,X2] :
( ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) )
& ( ~ r1_tarski(X1,X2)
| m1_subset_1(X1,k1_zfmisc_1(X2)) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(198,plain,
! [X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(variable_rename,[status(thm)],[197]) ).
cnf(199,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[198]) ).
fof(205,plain,
! [X1] :
( ~ l2_struct_0(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(206,plain,
! [X2] :
( ~ l2_struct_0(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[205]) ).
cnf(207,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[206]) ).
fof(223,plain,
! [X1] :
( ~ l2_vectsp_1(X1)
| ( l1_vectsp_1(X1)
& l2_struct_0(X1) ) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(224,plain,
! [X2] :
( ~ l2_vectsp_1(X2)
| ( l1_vectsp_1(X2)
& l2_struct_0(X2) ) ),
inference(variable_rename,[status(thm)],[223]) ).
fof(225,plain,
! [X2] :
( ( l1_vectsp_1(X2)
| ~ l2_vectsp_1(X2) )
& ( l2_struct_0(X2)
| ~ l2_vectsp_1(X2) ) ),
inference(distribute,[status(thm)],[224]) ).
cnf(227,plain,
( l1_vectsp_1(X1)
| ~ l2_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[225]) ).
fof(231,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] :
( ~ v3_vectsp_2(X4,X1)
| ~ m1_rmod_2(X4,X1,X2)
| X3 != u1_struct_0(X4)
| k1_rlvect_1(X1) = k2_group_1(X1)
| k1_rmod_5(X1,X2,X3) = X4 ) ) ) ),
inference(fof_nnf,[status(thm)],[86]) ).
fof(232,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] :
( ~ v3_vectsp_2(X8,X5)
| ~ m1_rmod_2(X8,X5,X6)
| X7 != u1_struct_0(X8)
| k1_rlvect_1(X5) = k2_group_1(X5)
| k1_rmod_5(X5,X6,X7) = X8 ) ) ) ),
inference(variable_rename,[status(thm)],[231]) ).
fof(233,plain,
! [X5,X6,X7,X8] :
( ~ v3_vectsp_2(X8,X5)
| ~ m1_rmod_2(X8,X5,X6)
| X7 != u1_struct_0(X8)
| k1_rlvect_1(X5) = k2_group_1(X5)
| k1_rmod_5(X5,X6,X7) = 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)],[232]) ).
cnf(234,plain,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| k1_rmod_5(X1,X2,X3) = X4
| k1_rlvect_1(X1) = k2_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ 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)))
| X3 != u1_struct_0(X4)
| ~ m1_rmod_2(X4,X1,X2)
| ~ v3_vectsp_2(X4,X1) ),
inference(split_conjunct,[status(thm)],[233]) ).
fof(239,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)))
& X3 = u1_struct_0(X2)
& k1_rlvect_1(X1) != k2_group_1(X1)
& k1_rmod_5(X1,X2,X3) != X2 ) ) ),
inference(fof_nnf,[status(thm)],[88]) ).
fof(240,negated_conjecture,
? [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)
& ? [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] :
( m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
& X6 = u1_struct_0(X5)
& k1_rlvect_1(X4) != k2_group_1(X4)
& k1_rmod_5(X4,X5,X6) != X5 ) ) ),
inference(variable_rename,[status(thm)],[239]) ).
fof(241,negated_conjecture,
( ~ 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)
& v4_group_1(esk12_0)
& v7_group_1(esk12_0)
& v6_vectsp_1(esk12_0)
& v7_vectsp_1(esk12_0)
& v8_vectsp_1(esk12_0)
& ~ v10_vectsp_1(esk12_0)
& v2_vectsp_2(esk12_0)
& l3_vectsp_1(esk12_0)
& ~ v3_struct_0(esk13_0)
& v3_rlvect_1(esk13_0)
& v4_rlvect_1(esk13_0)
& v5_rlvect_1(esk13_0)
& v6_rlvect_1(esk13_0)
& v3_vectsp_2(esk13_0,esk12_0)
& v5_vectsp_2(esk13_0,esk12_0)
& l1_vectsp_2(esk13_0,esk12_0)
& m1_subset_1(esk14_0,k1_zfmisc_1(u1_struct_0(esk13_0)))
& esk14_0 = u1_struct_0(esk13_0)
& k1_rlvect_1(esk12_0) != k2_group_1(esk12_0)
& k1_rmod_5(esk12_0,esk13_0,esk14_0) != esk13_0 ),
inference(skolemize,[status(esa)],[240]) ).
cnf(242,negated_conjecture,
k1_rmod_5(esk12_0,esk13_0,esk14_0) != esk13_0,
inference(split_conjunct,[status(thm)],[241]) ).
cnf(243,negated_conjecture,
k1_rlvect_1(esk12_0) != k2_group_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(244,negated_conjecture,
esk14_0 = u1_struct_0(esk13_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(246,negated_conjecture,
l1_vectsp_2(esk13_0,esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(247,negated_conjecture,
v5_vectsp_2(esk13_0,esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(248,negated_conjecture,
v3_vectsp_2(esk13_0,esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(249,negated_conjecture,
v6_rlvect_1(esk13_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(250,negated_conjecture,
v5_rlvect_1(esk13_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(251,negated_conjecture,
v4_rlvect_1(esk13_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(252,negated_conjecture,
v3_rlvect_1(esk13_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(253,negated_conjecture,
~ v3_struct_0(esk13_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(254,negated_conjecture,
l3_vectsp_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(255,negated_conjecture,
v2_vectsp_2(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(256,negated_conjecture,
~ v10_vectsp_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(257,negated_conjecture,
v8_vectsp_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(258,negated_conjecture,
v7_vectsp_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(259,negated_conjecture,
v6_vectsp_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(260,negated_conjecture,
v7_group_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(261,negated_conjecture,
v4_group_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(262,negated_conjecture,
v6_rlvect_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(263,negated_conjecture,
v5_rlvect_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(264,negated_conjecture,
v4_rlvect_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(265,negated_conjecture,
v3_rlvect_1(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(266,negated_conjecture,
~ v3_struct_0(esk12_0),
inference(split_conjunct,[status(thm)],[241]) ).
fof(304,plain,
! [X1] :
( ~ l1_vectsp_1(X1)
| v3_struct_0(X1)
| ~ v7_group_1(X1)
| ~ v8_vectsp_1(X1)
| ( ~ v3_struct_0(X1)
& v2_group_1(X1)
& v6_vectsp_1(X1)
& v8_vectsp_1(X1) ) ),
inference(fof_nnf,[status(thm)],[91]) ).
fof(305,plain,
! [X2] :
( ~ l1_vectsp_1(X2)
| v3_struct_0(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ( ~ v3_struct_0(X2)
& v2_group_1(X2)
& v6_vectsp_1(X2)
& v8_vectsp_1(X2) ) ),
inference(variable_rename,[status(thm)],[304]) ).
fof(306,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l1_vectsp_1(X2) )
& ( v2_group_1(X2)
| v3_struct_0(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l1_vectsp_1(X2) )
& ( v6_vectsp_1(X2)
| v3_struct_0(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l1_vectsp_1(X2) )
& ( v8_vectsp_1(X2)
| v3_struct_0(X2)
| ~ v7_group_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l1_vectsp_1(X2) ) ),
inference(distribute,[status(thm)],[305]) ).
cnf(308,plain,
( v3_struct_0(X1)
| v6_vectsp_1(X1)
| ~ l1_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_group_1(X1) ),
inference(split_conjunct,[status(thm)],[306]) ).
fof(375,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)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| k2_rmod_2(X1,X2) = g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[95]) ).
fof(376,plain,
! [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)
| ! [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,X3)
| ~ l1_vectsp_2(X4,X3)
| k2_rmod_2(X3,X4) = g1_vectsp_2(X3,u1_struct_0(X4),u1_rlvect_1(X4),u2_struct_0(X4),u1_vectsp_2(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[375]) ).
fof(377,plain,
! [X3,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,X3)
| ~ l1_vectsp_2(X4,X3)
| k2_rmod_2(X3,X4) = g1_vectsp_2(X3,u1_struct_0(X4),u1_rlvect_1(X4),u2_struct_0(X4),u1_vectsp_2(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) ),
inference(shift_quantors,[status(thm)],[376]) ).
cnf(378,plain,
( v3_struct_0(X1)
| k2_rmod_2(X1,X2) = g1_vectsp_2(X1,u1_struct_0(X2),u1_rlvect_1(X2),u2_struct_0(X2),u1_vectsp_2(X1,X2))
| v3_struct_0(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) ),
inference(split_conjunct,[status(thm)],[377]) ).
cnf(418,plain,
( l1_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(spm,[status(thm)],[207,166,theory(equality)]) ).
cnf(423,plain,
( l1_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[227,162,theory(equality)]) ).
cnf(428,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[199,158,theory(equality)]) ).
cnf(501,plain,
( k2_rmod_2(X1,X2) = X2
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[189,378,theory(equality)]) ).
cnf(518,negated_conjecture,
( k1_rmod_5(X1,esk13_0,X2) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(esk13_0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X1,esk13_0)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,X1)
| ~ v5_vectsp_2(esk13_0,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(esk13_0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(esk13_0)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(esk13_0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(esk13_0)
| ~ v3_rlvect_1(X1) ),
inference(spm,[status(thm)],[234,244,theory(equality)]) ).
cnf(523,negated_conjecture,
( k1_rmod_5(X1,esk13_0,X2) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(esk13_0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X1,esk13_0)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,X1)
| ~ v5_vectsp_2(esk13_0,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| $false
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(esk13_0)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(esk13_0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(esk13_0)
| ~ v3_rlvect_1(X1) ),
inference(rw,[status(thm)],[518,249,theory(equality)]) ).
cnf(524,negated_conjecture,
( k1_rmod_5(X1,esk13_0,X2) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(esk13_0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X1,esk13_0)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,X1)
| ~ v5_vectsp_2(esk13_0,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| $false
| ~ v6_rlvect_1(X1)
| $false
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(esk13_0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(esk13_0)
| ~ v3_rlvect_1(X1) ),
inference(rw,[status(thm)],[523,250,theory(equality)]) ).
cnf(525,negated_conjecture,
( k1_rmod_5(X1,esk13_0,X2) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(esk13_0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X1,esk13_0)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,X1)
| ~ v5_vectsp_2(esk13_0,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| $false
| ~ v6_rlvect_1(X1)
| $false
| ~ v5_rlvect_1(X1)
| $false
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(esk13_0)
| ~ v3_rlvect_1(X1) ),
inference(rw,[status(thm)],[524,251,theory(equality)]) ).
cnf(526,negated_conjecture,
( k1_rmod_5(X1,esk13_0,X2) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(esk13_0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X1,esk13_0)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,X1)
| ~ v5_vectsp_2(esk13_0,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| $false
| ~ v6_rlvect_1(X1)
| $false
| ~ v5_rlvect_1(X1)
| $false
| ~ v4_rlvect_1(X1)
| $false
| ~ v3_rlvect_1(X1) ),
inference(rw,[status(thm)],[525,252,theory(equality)]) ).
cnf(527,negated_conjecture,
( k1_rmod_5(X1,esk13_0,X2) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(esk13_0)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X1,esk13_0)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,X1)
| ~ v5_vectsp_2(esk13_0,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
inference(cn,[status(thm)],[526,theory(equality)]) ).
cnf(528,negated_conjecture,
( k1_rmod_5(X1,esk13_0,X2) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X1,esk13_0)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,X1)
| ~ v5_vectsp_2(esk13_0,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
inference(sr,[status(thm)],[527,253,theory(equality)]) ).
cnf(567,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[418,163,theory(equality)]) ).
cnf(590,plain,
( v6_vectsp_1(X1)
| v3_struct_0(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[308,423,theory(equality)]) ).
cnf(1966,plain,
( k2_rmod_2(X1,X2) = X2
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(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(csr,[status(thm)],[501,567]) ).
cnf(1968,plain,
( m1_rmod_2(X2,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X1) ),
inference(spm,[status(thm)],[116,1966,theory(equality)]) ).
cnf(2306,negated_conjecture,
( k1_rmod_5(X1,esk13_0,X2) = X3
| k2_group_1(X1) = k1_rlvect_1(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| u1_struct_0(X3) != X2
| ~ m1_rmod_2(X3,X1,esk13_0)
| ~ v3_vectsp_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,X1)
| ~ v5_vectsp_2(esk13_0,X1)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_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) ),
inference(csr,[status(thm)],[528,590]) ).
cnf(2307,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| u1_struct_0(esk13_0) != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,esk12_0)
| ~ v5_vectsp_2(esk13_0,esk12_0)
| ~ l3_vectsp_1(esk12_0)
| ~ v2_vectsp_2(esk12_0)
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v7_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(spm,[status(thm)],[2306,248,theory(equality)]) ).
cnf(2315,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| ~ l1_vectsp_2(esk13_0,esk12_0)
| ~ v5_vectsp_2(esk13_0,esk12_0)
| ~ l3_vectsp_1(esk12_0)
| ~ v2_vectsp_2(esk12_0)
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v7_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2307,244,theory(equality)]) ).
cnf(2316,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| ~ v5_vectsp_2(esk13_0,esk12_0)
| ~ l3_vectsp_1(esk12_0)
| ~ v2_vectsp_2(esk12_0)
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v7_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2315,246,theory(equality)]) ).
cnf(2317,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| ~ l3_vectsp_1(esk12_0)
| ~ v2_vectsp_2(esk12_0)
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v7_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2316,247,theory(equality)]) ).
cnf(2318,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| ~ v2_vectsp_2(esk12_0)
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v7_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2317,254,theory(equality)]) ).
cnf(2319,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v7_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2318,255,theory(equality)]) ).
cnf(2320,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk12_0)
| ~ v7_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2319,257,theory(equality)]) ).
cnf(2321,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v7_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2320,258,theory(equality)]) ).
cnf(2322,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2321,260,theory(equality)]) ).
cnf(2323,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2322,261,theory(equality)]) ).
cnf(2324,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2323,262,theory(equality)]) ).
cnf(2325,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2324,263,theory(equality)]) ).
cnf(2326,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk12_0) ),
inference(rw,[status(thm)],[2325,264,theory(equality)]) ).
cnf(2327,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2326,265,theory(equality)]) ).
cnf(2328,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| k2_group_1(esk12_0) = k1_rlvect_1(esk12_0)
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0)) ),
inference(cn,[status(thm)],[2327,theory(equality)]) ).
cnf(2329,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| v10_vectsp_1(esk12_0)
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0)) ),
inference(sr,[status(thm)],[2328,243,theory(equality)]) ).
cnf(2330,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| v3_struct_0(esk12_0)
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0)) ),
inference(sr,[status(thm)],[2329,256,theory(equality)]) ).
cnf(2331,negated_conjecture,
( k1_rmod_5(esk12_0,esk13_0,X1) = esk13_0
| esk14_0 != X1
| ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk14_0)) ),
inference(sr,[status(thm)],[2330,266,theory(equality)]) ).
cnf(2332,negated_conjecture,
( ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| ~ m1_subset_1(esk14_0,k1_zfmisc_1(esk14_0)) ),
inference(spm,[status(thm)],[242,2331,theory(equality)]) ).
cnf(2337,negated_conjecture,
( ~ m1_rmod_2(esk13_0,esk12_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[2332,428,theory(equality)]) ).
cnf(2338,negated_conjecture,
~ m1_rmod_2(esk13_0,esk12_0,esk13_0),
inference(cn,[status(thm)],[2337,theory(equality)]) ).
cnf(23996,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| ~ l1_vectsp_2(esk13_0,esk12_0)
| ~ v5_vectsp_2(esk13_0,esk12_0)
| ~ l3_vectsp_1(esk12_0)
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v6_vectsp_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(spm,[status(thm)],[1968,248,theory(equality)]) ).
cnf(24005,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| ~ v5_vectsp_2(esk13_0,esk12_0)
| ~ l3_vectsp_1(esk12_0)
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v6_vectsp_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[23996,246,theory(equality)]) ).
cnf(24006,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| ~ l3_vectsp_1(esk12_0)
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v6_vectsp_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24005,247,theory(equality)]) ).
cnf(24007,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| ~ v8_vectsp_1(esk12_0)
| ~ v7_vectsp_1(esk12_0)
| ~ v6_vectsp_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24006,254,theory(equality)]) ).
cnf(24008,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk12_0)
| ~ v6_vectsp_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24007,257,theory(equality)]) ).
cnf(24009,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| ~ v6_vectsp_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24008,258,theory(equality)]) ).
cnf(24010,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk12_0)
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24009,259,theory(equality)]) ).
cnf(24011,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk12_0)
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24010,261,theory(equality)]) ).
cnf(24012,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk13_0)
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24011,262,theory(equality)]) ).
cnf(24013,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk12_0)
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24012,249,theory(equality)]) ).
cnf(24014,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk13_0)
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24013,263,theory(equality)]) ).
cnf(24015,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk12_0)
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24014,250,theory(equality)]) ).
cnf(24016,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk13_0)
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24015,264,theory(equality)]) ).
cnf(24017,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk12_0)
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24016,251,theory(equality)]) ).
cnf(24018,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk13_0) ),
inference(rw,[status(thm)],[24017,265,theory(equality)]) ).
cnf(24019,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[24018,252,theory(equality)]) ).
cnf(24020,negated_conjecture,
( m1_rmod_2(esk13_0,esk12_0,esk13_0)
| v3_struct_0(esk12_0)
| v3_struct_0(esk13_0) ),
inference(cn,[status(thm)],[24019,theory(equality)]) ).
cnf(24021,negated_conjecture,
( v3_struct_0(esk12_0)
| v3_struct_0(esk13_0) ),
inference(sr,[status(thm)],[24020,2338,theory(equality)]) ).
cnf(24022,negated_conjecture,
v3_struct_0(esk13_0),
inference(sr,[status(thm)],[24021,266,theory(equality)]) ).
cnf(24023,negated_conjecture,
$false,
inference(sr,[status(thm)],[24022,253,theory(equality)]) ).
cnf(24024,negated_conjecture,
$false,
24023,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG219+1.p
% --creating new selector for []
% -running prover on /tmp/tmpt3cLlo/sel_ALG219+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG219+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG219+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG219+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
%
%------------------------------------------------------------------------------