TSTP Solution File: ALG216+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG216+4 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 04:22:31 EST 2010
% Result : Theorem 105.13s
% Output : CNFRefutation 105.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 7
% Syntax : Number of formulae : 108 ( 25 unt; 0 def)
% Number of atoms : 1140 ( 66 equ)
% Maximal formula atoms : 44 ( 10 avg)
% Number of connectives : 1548 ( 516 ~; 859 |; 145 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 0 sgn 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(451,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
file('/tmp/tmp2MYFxn/sel_ALG216+4.p_2',dt_l3_vectsp_1) ).
fof(1072,axiom,
! [X1] :
( l2_struct_0(X1)
=> m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
file('/tmp/tmp2MYFxn/sel_ALG216+4.p_2',dt_k1_rlvect_1) ).
fof(4814,axiom,
! [X1] :
( l1_rlvect_1(X1)
=> l2_struct_0(X1) ),
file('/tmp/tmp2MYFxn/sel_ALG216+4.p_2',dt_l1_rlvect_1) ).
fof(5280,axiom,
! [X1] :
( l2_struct_0(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmp2MYFxn/sel_ALG216+4.p_2',dt_l2_struct_0) ).
fof(6517,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_vectsp_2(X2,X1)
=> l1_rlvect_1(X2) ) ),
file('/tmp/tmp2MYFxn/sel_ALG216+4.p_2',dt_l1_vectsp_2) ).
fof(6914,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| ( X3 != k1_rlvect_1(X2)
& X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
file('/tmp/tmp2MYFxn/sel_ALG216+4.p_2',t5_rmod_5) ).
fof(6916,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)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
file('/tmp/tmp2MYFxn/sel_ALG216+4.p_2',t6_rmod_5) ).
fof(6919,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)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[6916]) ).
fof(7809,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) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| ( X3 != k1_rlvect_1(X2)
& X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[6914,theory(equality)]) ).
fof(7811,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)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[6919,theory(equality)]) ).
fof(9099,plain,
! [X1] :
( ~ l3_vectsp_1(X1)
| ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
inference(fof_nnf,[status(thm)],[451]) ).
fof(9100,plain,
! [X2] :
( ~ l3_vectsp_1(X2)
| ( l1_rlvect_1(X2)
& l2_vectsp_1(X2) ) ),
inference(variable_rename,[status(thm)],[9099]) ).
fof(9101,plain,
! [X2] :
( ( l1_rlvect_1(X2)
| ~ l3_vectsp_1(X2) )
& ( l2_vectsp_1(X2)
| ~ l3_vectsp_1(X2) ) ),
inference(distribute,[status(thm)],[9100]) ).
cnf(9103,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[9101]) ).
fof(10773,plain,
! [X1] :
( ~ l2_struct_0(X1)
| m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[1072]) ).
fof(10774,plain,
! [X2] :
( ~ l2_struct_0(X2)
| m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[10773]) ).
cnf(10775,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[10774]) ).
fof(20742,plain,
! [X1] :
( ~ l1_rlvect_1(X1)
| l2_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[4814]) ).
fof(20743,plain,
! [X2] :
( ~ l1_rlvect_1(X2)
| l2_struct_0(X2) ),
inference(variable_rename,[status(thm)],[20742]) ).
cnf(20744,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[20743]) ).
fof(21950,plain,
! [X1] :
( ~ l2_struct_0(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[5280]) ).
fof(21951,plain,
! [X2] :
( ~ l2_struct_0(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[21950]) ).
cnf(21952,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[21951]) ).
fof(25282,plain,
! [X1] :
( ~ l1_struct_0(X1)
| ! [X2] :
( ~ l1_vectsp_2(X2,X1)
| l1_rlvect_1(X2) ) ),
inference(fof_nnf,[status(thm)],[6517]) ).
fof(25283,plain,
! [X3] :
( ~ l1_struct_0(X3)
| ! [X4] :
( ~ l1_vectsp_2(X4,X3)
| l1_rlvect_1(X4) ) ),
inference(variable_rename,[status(thm)],[25282]) ).
fof(25284,plain,
! [X3,X4] :
( ~ l1_vectsp_2(X4,X3)
| l1_rlvect_1(X4)
| ~ l1_struct_0(X3) ),
inference(shift_quantors,[status(thm)],[25283]) ).
cnf(25285,plain,
( l1_rlvect_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[25284]) ).
fof(26354,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)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| k1_rlvect_1(X1) = k2_group_1(X1)
| ( X3 != k1_rlvect_1(X2)
& X4 != k1_rlvect_1(X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[7809]) ).
fof(26355,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)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(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,u1_struct_0(X6))
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_rmod_5(k8_rlvect_2(X6,X7,X8),X5,X6)
| k1_rlvect_1(X5) = k2_group_1(X5)
| ( X7 != k1_rlvect_1(X6)
& X8 != k1_rlvect_1(X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[26354]) ).
fof(26356,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_rmod_5(k8_rlvect_2(X6,X7,X8),X5,X6)
| k1_rlvect_1(X5) = k2_group_1(X5)
| ( X7 != k1_rlvect_1(X6)
& X8 != k1_rlvect_1(X6) )
| ~ m1_subset_1(X7,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)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) ),
inference(shift_quantors,[status(thm)],[26355]) ).
fof(26357,plain,
! [X5,X6,X7,X8] :
( ( X7 != k1_rlvect_1(X6)
| k1_rlvect_1(X5) = k2_group_1(X5)
| ~ v1_rmod_5(k8_rlvect_2(X6,X7,X8),X5,X6)
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ m1_subset_1(X7,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)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) )
& ( X8 != k1_rlvect_1(X6)
| k1_rlvect_1(X5) = k2_group_1(X5)
| ~ v1_rmod_5(k8_rlvect_2(X6,X7,X8),X5,X6)
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ m1_subset_1(X7,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)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) ) ),
inference(distribute,[status(thm)],[26356]) ).
cnf(26358,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k1_rlvect_1(X1) = k2_group_1(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)
| ~ 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,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[26357]) ).
cnf(26359,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k1_rlvect_1(X1) = k2_group_1(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)
| ~ 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,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[26357]) ).
fof(26364,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)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1)
& ? [X2] :
( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
& k1_rlvect_1(X1) != k2_group_1(X1)
& ( v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
| v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[7811]) ).
fof(26365,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)
& 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)
& v5_vectsp_2(X5,X4)
& l1_vectsp_2(X5,X4)
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X5))
& k1_rlvect_1(X4) != k2_group_1(X4)
& ( v1_rmod_5(k8_rlvect_2(X5,X6,k1_rlvect_1(X5)),X4,X5)
| v1_rmod_5(k8_rlvect_2(X5,k1_rlvect_1(X5),X6),X4,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[26364]) ).
fof(26366,negated_conjecture,
( ~ v3_struct_0(esk829_0)
& v3_rlvect_1(esk829_0)
& v4_rlvect_1(esk829_0)
& v5_rlvect_1(esk829_0)
& v6_rlvect_1(esk829_0)
& v4_group_1(esk829_0)
& v6_vectsp_1(esk829_0)
& v7_vectsp_1(esk829_0)
& v8_vectsp_1(esk829_0)
& l3_vectsp_1(esk829_0)
& ~ v3_struct_0(esk830_0)
& v3_rlvect_1(esk830_0)
& v4_rlvect_1(esk830_0)
& v5_rlvect_1(esk830_0)
& v6_rlvect_1(esk830_0)
& v5_vectsp_2(esk830_0,esk829_0)
& l1_vectsp_2(esk830_0,esk829_0)
& m1_subset_1(esk831_0,u1_struct_0(esk830_0))
& k1_rlvect_1(esk829_0) != k2_group_1(esk829_0)
& ( v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,k1_rlvect_1(esk830_0),esk831_0),esk829_0,esk830_0) ) ),
inference(skolemize,[status(esa)],[26365]) ).
cnf(26367,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk830_0,k1_rlvect_1(esk830_0),esk831_0),esk829_0,esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0) ),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26368,negated_conjecture,
k1_rlvect_1(esk829_0) != k2_group_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26369,negated_conjecture,
m1_subset_1(esk831_0,u1_struct_0(esk830_0)),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26370,negated_conjecture,
l1_vectsp_2(esk830_0,esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26371,negated_conjecture,
v5_vectsp_2(esk830_0,esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26372,negated_conjecture,
v6_rlvect_1(esk830_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26373,negated_conjecture,
v5_rlvect_1(esk830_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26374,negated_conjecture,
v4_rlvect_1(esk830_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26375,negated_conjecture,
v3_rlvect_1(esk830_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26376,negated_conjecture,
~ v3_struct_0(esk830_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26377,negated_conjecture,
l3_vectsp_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26378,negated_conjecture,
v8_vectsp_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26379,negated_conjecture,
v7_vectsp_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26380,negated_conjecture,
v6_vectsp_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26381,negated_conjecture,
v4_group_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26382,negated_conjecture,
v6_rlvect_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26383,negated_conjecture,
v5_rlvect_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26384,negated_conjecture,
v4_rlvect_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26385,negated_conjecture,
v3_rlvect_1(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(26386,negated_conjecture,
~ v3_struct_0(esk829_0),
inference(split_conjunct,[status(thm)],[26366]) ).
cnf(29966,plain,
( l1_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(spm,[status(thm)],[21952,20744,theory(equality)]) ).
cnf(29988,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l1_rlvect_1(X1) ),
inference(spm,[status(thm)],[10775,20744,theory(equality)]) ).
cnf(30729,negated_conjecture,
( l1_rlvect_1(esk830_0)
| ~ l1_struct_0(esk829_0) ),
inference(spm,[status(thm)],[25285,26370,theory(equality)]) ).
cnf(240164,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| ~ l1_vectsp_2(esk830_0,esk829_0)
| ~ v5_vectsp_2(esk830_0,esk829_0)
| ~ v6_vectsp_1(esk829_0)
| ~ l3_vectsp_1(esk829_0)
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(spm,[status(thm)],[26359,26367,theory(equality)]) ).
cnf(240171,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| ~ v5_vectsp_2(esk830_0,esk829_0)
| ~ v6_vectsp_1(esk829_0)
| ~ l3_vectsp_1(esk829_0)
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240164,26370,theory(equality)]) ).
cnf(240172,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| ~ v6_vectsp_1(esk829_0)
| ~ l3_vectsp_1(esk829_0)
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240171,26371,theory(equality)]) ).
cnf(240173,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| ~ l3_vectsp_1(esk829_0)
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240172,26380,theory(equality)]) ).
cnf(240174,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240173,26377,theory(equality)]) ).
cnf(240175,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240174,26378,theory(equality)]) ).
cnf(240176,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240175,26379,theory(equality)]) ).
cnf(240177,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240176,26381,theory(equality)]) ).
cnf(240178,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240177,26372,theory(equality)]) ).
cnf(240179,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240178,26382,theory(equality)]) ).
cnf(240180,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240179,26373,theory(equality)]) ).
cnf(240181,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240180,26383,theory(equality)]) ).
cnf(240182,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240181,26374,theory(equality)]) ).
cnf(240183,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240182,26384,theory(equality)]) ).
cnf(240184,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240183,26375,theory(equality)]) ).
cnf(240185,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0))
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240184,26385,theory(equality)]) ).
cnf(240186,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[240185,26369,theory(equality)]) ).
cnf(240187,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(cn,[status(thm)],[240186,theory(equality)]) ).
cnf(240188,negated_conjecture,
( v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(sr,[status(thm)],[240187,26368,theory(equality)]) ).
cnf(240189,negated_conjecture,
( v3_struct_0(esk830_0)
| v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(sr,[status(thm)],[240188,26386,theory(equality)]) ).
cnf(240190,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk830_0,esk831_0,k1_rlvect_1(esk830_0)),esk829_0,esk830_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(sr,[status(thm)],[240189,26376,theory(equality)]) ).
cnf(318402,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| ~ l1_vectsp_2(esk830_0,esk829_0)
| ~ v5_vectsp_2(esk830_0,esk829_0)
| ~ v6_vectsp_1(esk829_0)
| ~ l3_vectsp_1(esk829_0)
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(spm,[status(thm)],[26358,240190,theory(equality)]) ).
cnf(318427,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| ~ v5_vectsp_2(esk830_0,esk829_0)
| ~ v6_vectsp_1(esk829_0)
| ~ l3_vectsp_1(esk829_0)
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318402,26370,theory(equality)]) ).
cnf(318428,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| ~ v6_vectsp_1(esk829_0)
| ~ l3_vectsp_1(esk829_0)
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318427,26371,theory(equality)]) ).
cnf(318429,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| ~ l3_vectsp_1(esk829_0)
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318428,26380,theory(equality)]) ).
cnf(318430,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| ~ v8_vectsp_1(esk829_0)
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318429,26377,theory(equality)]) ).
cnf(318431,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk829_0)
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318430,26378,theory(equality)]) ).
cnf(318432,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk829_0)
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318431,26379,theory(equality)]) ).
cnf(318433,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk830_0)
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318432,26381,theory(equality)]) ).
cnf(318434,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk829_0)
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318433,26372,theory(equality)]) ).
cnf(318435,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk830_0)
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318434,26382,theory(equality)]) ).
cnf(318436,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk829_0)
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318435,26373,theory(equality)]) ).
cnf(318437,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk830_0)
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318436,26383,theory(equality)]) ).
cnf(318438,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk829_0)
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318437,26374,theory(equality)]) ).
cnf(318439,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk830_0)
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318438,26384,theory(equality)]) ).
cnf(318440,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk829_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318439,26375,theory(equality)]) ).
cnf(318441,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ m1_subset_1(esk831_0,u1_struct_0(esk830_0)) ),
inference(rw,[status(thm)],[318440,26385,theory(equality)]) ).
cnf(318442,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| $false ),
inference(rw,[status(thm)],[318441,26369,theory(equality)]) ).
cnf(318443,negated_conjecture,
( k2_group_1(esk829_0) = k1_rlvect_1(esk829_0)
| v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(cn,[status(thm)],[318442,theory(equality)]) ).
cnf(318444,negated_conjecture,
( v3_struct_0(esk829_0)
| v3_struct_0(esk830_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(sr,[status(thm)],[318443,26368,theory(equality)]) ).
cnf(318445,negated_conjecture,
( v3_struct_0(esk830_0)
| ~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)) ),
inference(sr,[status(thm)],[318444,26386,theory(equality)]) ).
cnf(318446,negated_conjecture,
~ m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0)),
inference(sr,[status(thm)],[318445,26376,theory(equality)]) ).
cnf(318882,negated_conjecture,
( l1_rlvect_1(esk830_0)
| ~ l1_rlvect_1(esk829_0) ),
inference(spm,[status(thm)],[30729,29966,theory(equality)]) ).
cnf(320775,negated_conjecture,
( m1_subset_1(k1_rlvect_1(esk830_0),u1_struct_0(esk830_0))
| ~ l1_rlvect_1(esk829_0) ),
inference(spm,[status(thm)],[29988,318882,theory(equality)]) ).
cnf(320776,negated_conjecture,
~ l1_rlvect_1(esk829_0),
inference(sr,[status(thm)],[320775,318446,theory(equality)]) ).
cnf(320777,negated_conjecture,
~ l3_vectsp_1(esk829_0),
inference(spm,[status(thm)],[320776,9103,theory(equality)]) ).
cnf(320778,negated_conjecture,
$false,
inference(rw,[status(thm)],[320777,26377,theory(equality)]) ).
cnf(320779,negated_conjecture,
$false,
inference(cn,[status(thm)],[320778,theory(equality)]) ).
cnf(320780,negated_conjecture,
$false,
320779,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG216+4.p
% --creating new selector for [SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+4.ax, SET007+5.ax, SET007+6.ax, SET007+7.ax, SET007+8.ax, SET007+9.ax, SET007+10.ax, SET007+11.ax, SET007+12.ax, SET007+13.ax, SET007+14.ax, SET007+15.ax, SET007+16.ax, SET007+17.ax, SET007+18.ax, SET007+19.ax, SET007+20.ax, SET007+21.ax, SET007+22.ax, SET007+23.ax, SET007+24.ax, SET007+25.ax, SET007+26.ax, SET007+27.ax, SET007+28.ax, SET007+29.ax, SET007+30.ax, SET007+31.ax, SET007+32.ax, SET007+33.ax, SET007+34.ax, SET007+35.ax, SET007+36.ax, SET007+37.ax, SET007+38.ax, SET007+39.ax, SET007+40.ax, SET007+41.ax, SET007+42.ax, SET007+43.ax, SET007+44.ax, SET007+45.ax, SET007+46.ax, SET007+47.ax, SET007+48.ax, SET007+49.ax, SET007+50.ax, SET007+51.ax, SET007+52.ax, SET007+53.ax, SET007+54.ax, SET007+55.ax, SET007+56.ax, SET007+57.ax, SET007+58.ax, SET007+59.ax, SET007+60.ax, SET007+61.ax, SET007+62.ax, SET007+63.ax, SET007+64.ax, SET007+65.ax, SET007+66.ax, SET007+67.ax, SET007+68.ax, SET007+69.ax, SET007+70.ax, SET007+71.ax, SET007+72.ax, SET007+73.ax, SET007+74.ax, SET007+75.ax, SET007+76.ax, SET007+77.ax, SET007+78.ax, SET007+79.ax, SET007+80.ax, SET007+81.ax, SET007+82.ax, SET007+83.ax, SET007+84.ax, SET007+85.ax, SET007+86.ax, SET007+87.ax, SET007+88.ax, SET007+89.ax, SET007+90.ax, SET007+91.ax, SET007+92.ax, SET007+93.ax, SET007+94.ax, SET007+95.ax, SET007+96.ax, SET007+97.ax, SET007+98.ax, SET007+99.ax, SET007+100.ax, SET007+101.ax, SET007+102.ax, SET007+103.ax, SET007+104.ax, SET007+105.ax, SET007+106.ax, SET007+107.ax, SET007+108.ax, SET007+109.ax, SET007+110.ax, SET007+111.ax, SET007+112.ax, SET007+113.ax, SET007+114.ax, SET007+115.ax, SET007+116.ax, SET007+117.ax, SET007+118.ax, SET007+119.ax, SET007+120.ax, SET007+121.ax, SET007+122.ax, SET007+123.ax, SET007+124.ax, SET007+125.ax, SET007+126.ax, SET007+127.ax, SET007+128.ax, SET007+129.ax, SET007+130.ax, SET007+131.ax, SET007+132.ax, SET007+133.ax, SET007+134.ax, SET007+135.ax, SET007+136.ax, SET007+137.ax, SET007+138.ax, SET007+139.ax, SET007+140.ax, SET007+141.ax, SET007+142.ax, SET007+143.ax, SET007+144.ax, SET007+145.ax, SET007+146.ax, SET007+147.ax, SET007+148.ax, SET007+149.ax, SET007+150.ax, SET007+151.ax, SET007+152.ax, SET007+153.ax, SET007+154.ax, SET007+155.ax, SET007+156.ax, SET007+157.ax, SET007+158.ax, SET007+159.ax, SET007+160.ax, SET007+161.ax, SET007+162.ax, SET007+163.ax, SET007+164.ax, SET007+165.ax, SET007+166.ax, SET007+167.ax, SET007+168.ax, SET007+169.ax, SET007+170.ax, SET007+171.ax, SET007+172.ax, SET007+173.ax, SET007+174.ax, SET007+175.ax, SET007+176.ax, SET007+177.ax, SET007+178.ax, SET007+179.ax, SET007+180.ax, SET007+181.ax, SET007+182.ax, SET007+183.ax, SET007+184.ax, SET007+185.ax, SET007+186.ax, SET007+187.ax, SET007+188.ax, SET007+189.ax, SET007+190.ax, SET007+191.ax, SET007+192.ax, SET007+193.ax, SET007+194.ax, SET007+195.ax, SET007+196.ax, SET007+197.ax, SET007+198.ax, SET007+199.ax, SET007+200.ax, SET007+201.ax, SET007+202.ax, SET007+203.ax, SET007+204.ax, SET007+205.ax, SET007+206.ax, SET007+207.ax, SET007+208.ax, SET007+209.ax, SET007+210.ax, SET007+211.ax, SET007+212.ax, SET007+213.ax, SET007+214.ax, SET007+215.ax, SET007+216.ax, SET007+217.ax, SET007+218.ax, SET007+219.ax, SET007+220.ax, SET007+221.ax, SET007+222.ax, SET007+223.ax, SET007+224.ax, SET007+225.ax, SET007+226.ax, SET007+227.ax, SET007+228.ax, SET007+229.ax, SET007+230.ax, SET007+231.ax, SET007+232.ax, SET007+233.ax, SET007+234.ax, SET007+235.ax, SET007+236.ax, SET007+237.ax, SET007+238.ax, SET007+239.ax, SET007+240.ax, SET007+241.ax, SET007+242.ax, SET007+243.ax, SET007+244.ax, SET007+245.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+249.ax, SET007+250.ax, SET007+251.ax, SET007+252.ax, SET007+253.ax, SET007+254.ax, SET007+255.ax, SET007+256.ax, SET007+257.ax, SET007+258.ax, SET007+259.ax, SET007+260.ax, SET007+261.ax, SET007+262.ax, SET007+263.ax, SET007+264.ax, SET007+265.ax, SET007+266.ax, SET007+267.ax, SET007+268.ax, SET007+269.ax, SET007+270.ax, SET007+271.ax, SET007+272.ax, SET007+273.ax, SET007+274.ax, SET007+275.ax, SET007+276.ax, SET007+277.ax, SET007+278.ax, SET007+279.ax, SET007+280.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp2MYFxn/sel_ALG216+4.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmp2MYFxn/sel_ALG216+4.p_2 with time limit 79
% -prover status Theorem
% Problem ALG216+4.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG216+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG216+4.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
%
%------------------------------------------------------------------------------