TSTP Solution File: ALG216+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG216+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 04:20:55 EST 2010
% Result : Theorem 0.27s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 8
% Syntax : Number of formulae : 113 ( 26 unt; 0 def)
% Number of atoms : 1154 ( 66 equ)
% Maximal formula atoms : 44 ( 10 avg)
% Number of connectives : 1559 ( 518 ~; 863 |; 149 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 58 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(21,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/tmplAsmZZ/sel_ALG216+1.p_1',t6_rmod_5) ).
fof(22,axiom,
! [X1] :
( l2_vectsp_1(X1)
=> ( l1_vectsp_1(X1)
& l2_struct_0(X1) ) ),
file('/tmp/tmplAsmZZ/sel_ALG216+1.p_1',dt_l2_vectsp_1) ).
fof(27,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_vectsp_2(X2,X1)
=> l1_rlvect_1(X2) ) ),
file('/tmp/tmplAsmZZ/sel_ALG216+1.p_1',dt_l1_vectsp_2) ).
fof(28,axiom,
! [X1] :
( l2_struct_0(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmplAsmZZ/sel_ALG216+1.p_1',dt_l2_struct_0) ).
fof(30,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
file('/tmp/tmplAsmZZ/sel_ALG216+1.p_1',dt_l3_vectsp_1) ).
fof(32,axiom,
! [X1] :
( l1_rlvect_1(X1)
=> l2_struct_0(X1) ),
file('/tmp/tmplAsmZZ/sel_ALG216+1.p_1',dt_l1_rlvect_1) ).
fof(40,axiom,
! [X1] :
( l2_struct_0(X1)
=> m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
file('/tmp/tmplAsmZZ/sel_ALG216+1.p_1',dt_k1_rlvect_1) ).
fof(47,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/tmplAsmZZ/sel_ALG216+1.p_1',t5_rmod_5) ).
fof(54,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)],[21]) ).
fof(63,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)],[54,theory(equality)]) ).
fof(69,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)],[47,theory(equality)]) ).
fof(137,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)],[63]) ).
fof(138,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)],[137]) ).
fof(139,negated_conjecture,
( ~ v3_struct_0(esk9_0)
& v3_rlvect_1(esk9_0)
& v4_rlvect_1(esk9_0)
& v5_rlvect_1(esk9_0)
& v6_rlvect_1(esk9_0)
& v4_group_1(esk9_0)
& v6_vectsp_1(esk9_0)
& v7_vectsp_1(esk9_0)
& v8_vectsp_1(esk9_0)
& l3_vectsp_1(esk9_0)
& ~ v3_struct_0(esk10_0)
& v3_rlvect_1(esk10_0)
& v4_rlvect_1(esk10_0)
& v5_rlvect_1(esk10_0)
& v6_rlvect_1(esk10_0)
& v5_vectsp_2(esk10_0,esk9_0)
& l1_vectsp_2(esk10_0,esk9_0)
& m1_subset_1(esk11_0,u1_struct_0(esk10_0))
& k1_rlvect_1(esk9_0) != k2_group_1(esk9_0)
& ( v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,k1_rlvect_1(esk10_0),esk11_0),esk9_0,esk10_0) ) ),
inference(skolemize,[status(esa)],[138]) ).
cnf(140,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk10_0,k1_rlvect_1(esk10_0),esk11_0),esk9_0,esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0) ),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(141,negated_conjecture,
k1_rlvect_1(esk9_0) != k2_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(142,negated_conjecture,
m1_subset_1(esk11_0,u1_struct_0(esk10_0)),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(143,negated_conjecture,
l1_vectsp_2(esk10_0,esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(144,negated_conjecture,
v5_vectsp_2(esk10_0,esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(145,negated_conjecture,
v6_rlvect_1(esk10_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(146,negated_conjecture,
v5_rlvect_1(esk10_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(147,negated_conjecture,
v4_rlvect_1(esk10_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(148,negated_conjecture,
v3_rlvect_1(esk10_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(149,negated_conjecture,
~ v3_struct_0(esk10_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(150,negated_conjecture,
l3_vectsp_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(151,negated_conjecture,
v8_vectsp_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(152,negated_conjecture,
v7_vectsp_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(153,negated_conjecture,
v6_vectsp_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(154,negated_conjecture,
v4_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(155,negated_conjecture,
v6_rlvect_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(156,negated_conjecture,
v5_rlvect_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(157,negated_conjecture,
v4_rlvect_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(158,negated_conjecture,
v3_rlvect_1(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
cnf(159,negated_conjecture,
~ v3_struct_0(esk9_0),
inference(split_conjunct,[status(thm)],[139]) ).
fof(160,plain,
! [X1] :
( ~ l2_vectsp_1(X1)
| ( l1_vectsp_1(X1)
& l2_struct_0(X1) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(161,plain,
! [X2] :
( ~ l2_vectsp_1(X2)
| ( l1_vectsp_1(X2)
& l2_struct_0(X2) ) ),
inference(variable_rename,[status(thm)],[160]) ).
fof(162,plain,
! [X2] :
( ( l1_vectsp_1(X2)
| ~ l2_vectsp_1(X2) )
& ( l2_struct_0(X2)
| ~ l2_vectsp_1(X2) ) ),
inference(distribute,[status(thm)],[161]) ).
cnf(163,plain,
( l2_struct_0(X1)
| ~ l2_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[162]) ).
fof(175,plain,
! [X1] :
( ~ l1_struct_0(X1)
| ! [X2] :
( ~ l1_vectsp_2(X2,X1)
| l1_rlvect_1(X2) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(176,plain,
! [X3] :
( ~ l1_struct_0(X3)
| ! [X4] :
( ~ l1_vectsp_2(X4,X3)
| l1_rlvect_1(X4) ) ),
inference(variable_rename,[status(thm)],[175]) ).
fof(177,plain,
! [X3,X4] :
( ~ l1_vectsp_2(X4,X3)
| l1_rlvect_1(X4)
| ~ l1_struct_0(X3) ),
inference(shift_quantors,[status(thm)],[176]) ).
cnf(178,plain,
( l1_rlvect_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[177]) ).
fof(179,plain,
! [X1] :
( ~ l2_struct_0(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(180,plain,
! [X2] :
( ~ l2_struct_0(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[179]) ).
cnf(181,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[180]) ).
fof(185,plain,
! [X1] :
( ~ l3_vectsp_1(X1)
| ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(186,plain,
! [X2] :
( ~ l3_vectsp_1(X2)
| ( l1_rlvect_1(X2)
& l2_vectsp_1(X2) ) ),
inference(variable_rename,[status(thm)],[185]) ).
fof(187,plain,
! [X2] :
( ( l1_rlvect_1(X2)
| ~ l3_vectsp_1(X2) )
& ( l2_vectsp_1(X2)
| ~ l3_vectsp_1(X2) ) ),
inference(distribute,[status(thm)],[186]) ).
cnf(188,plain,
( l2_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[187]) ).
fof(193,plain,
! [X1] :
( ~ l1_rlvect_1(X1)
| l2_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(194,plain,
! [X2] :
( ~ l1_rlvect_1(X2)
| l2_struct_0(X2) ),
inference(variable_rename,[status(thm)],[193]) ).
cnf(195,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[194]) ).
fof(216,plain,
! [X1] :
( ~ l2_struct_0(X1)
| m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(217,plain,
! [X2] :
( ~ l2_struct_0(X2)
| m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[216]) ).
cnf(218,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[217]) ).
fof(235,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)],[69]) ).
fof(236,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)],[235]) ).
fof(237,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)],[236]) ).
fof(238,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)],[237]) ).
cnf(239,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)],[238]) ).
cnf(240,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)],[238]) ).
cnf(269,plain,
( l2_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[163,188,theory(equality)]) ).
cnf(279,negated_conjecture,
( l1_rlvect_1(esk10_0)
| ~ l1_struct_0(esk9_0) ),
inference(spm,[status(thm)],[178,143,theory(equality)]) ).
cnf(341,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| ~ v5_vectsp_2(esk10_0,esk9_0)
| ~ v8_vectsp_1(esk9_0)
| ~ v7_vectsp_1(esk9_0)
| ~ v6_vectsp_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(spm,[status(thm)],[240,140,theory(equality)]) ).
cnf(345,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| ~ v8_vectsp_1(esk9_0)
| ~ v7_vectsp_1(esk9_0)
| ~ v6_vectsp_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[341,144,theory(equality)]) ).
cnf(346,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| ~ v7_vectsp_1(esk9_0)
| ~ v6_vectsp_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[345,151,theory(equality)]) ).
cnf(347,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| ~ v6_vectsp_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[346,152,theory(equality)]) ).
cnf(348,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[347,153,theory(equality)]) ).
cnf(349,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[348,154,theory(equality)]) ).
cnf(350,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[349,145,theory(equality)]) ).
cnf(351,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[350,155,theory(equality)]) ).
cnf(352,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[351,146,theory(equality)]) ).
cnf(353,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[352,156,theory(equality)]) ).
cnf(354,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[353,147,theory(equality)]) ).
cnf(355,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[354,157,theory(equality)]) ).
cnf(356,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[355,148,theory(equality)]) ).
cnf(357,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[356,158,theory(equality)]) ).
cnf(358,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[357,150,theory(equality)]) ).
cnf(359,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0))
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[358,143,theory(equality)]) ).
cnf(360,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[359,142,theory(equality)]) ).
cnf(361,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(cn,[status(thm)],[360,theory(equality)]) ).
cnf(362,negated_conjecture,
( v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(sr,[status(thm)],[361,141,theory(equality)]) ).
cnf(363,negated_conjecture,
( v3_struct_0(esk10_0)
| v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(sr,[status(thm)],[362,159,theory(equality)]) ).
cnf(364,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk10_0,esk11_0,k1_rlvect_1(esk10_0)),esk9_0,esk10_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(sr,[status(thm)],[363,149,theory(equality)]) ).
cnf(392,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| ~ v5_vectsp_2(esk10_0,esk9_0)
| ~ v8_vectsp_1(esk9_0)
| ~ v7_vectsp_1(esk9_0)
| ~ v6_vectsp_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(spm,[status(thm)],[239,364,theory(equality)]) ).
cnf(394,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| ~ v8_vectsp_1(esk9_0)
| ~ v7_vectsp_1(esk9_0)
| ~ v6_vectsp_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[392,144,theory(equality)]) ).
cnf(395,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| ~ v7_vectsp_1(esk9_0)
| ~ v6_vectsp_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[394,151,theory(equality)]) ).
cnf(396,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| ~ v6_vectsp_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[395,152,theory(equality)]) ).
cnf(397,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk9_0)
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[396,153,theory(equality)]) ).
cnf(398,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk10_0)
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[397,154,theory(equality)]) ).
cnf(399,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk9_0)
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[398,145,theory(equality)]) ).
cnf(400,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk10_0)
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[399,155,theory(equality)]) ).
cnf(401,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk9_0)
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[400,146,theory(equality)]) ).
cnf(402,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk10_0)
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[401,156,theory(equality)]) ).
cnf(403,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk9_0)
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[402,147,theory(equality)]) ).
cnf(404,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk10_0)
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[403,157,theory(equality)]) ).
cnf(405,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk9_0)
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[404,148,theory(equality)]) ).
cnf(406,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ l3_vectsp_1(esk9_0)
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[405,158,theory(equality)]) ).
cnf(407,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ l1_vectsp_2(esk10_0,esk9_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[406,150,theory(equality)]) ).
cnf(408,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| ~ m1_subset_1(esk11_0,u1_struct_0(esk10_0)) ),
inference(rw,[status(thm)],[407,143,theory(equality)]) ).
cnf(409,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0))
| $false ),
inference(rw,[status(thm)],[408,142,theory(equality)]) ).
cnf(410,negated_conjecture,
( k2_group_1(esk9_0) = k1_rlvect_1(esk9_0)
| v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(cn,[status(thm)],[409,theory(equality)]) ).
cnf(411,negated_conjecture,
( v3_struct_0(esk9_0)
| v3_struct_0(esk10_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(sr,[status(thm)],[410,141,theory(equality)]) ).
cnf(412,negated_conjecture,
( v3_struct_0(esk10_0)
| ~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)) ),
inference(sr,[status(thm)],[411,159,theory(equality)]) ).
cnf(413,negated_conjecture,
~ m1_subset_1(k1_rlvect_1(esk10_0),u1_struct_0(esk10_0)),
inference(sr,[status(thm)],[412,149,theory(equality)]) ).
cnf(436,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[181,269,theory(equality)]) ).
cnf(439,negated_conjecture,
~ l2_struct_0(esk10_0),
inference(spm,[status(thm)],[413,218,theory(equality)]) ).
cnf(443,negated_conjecture,
l1_struct_0(esk9_0),
inference(spm,[status(thm)],[436,150,theory(equality)]) ).
cnf(466,negated_conjecture,
( l1_rlvect_1(esk10_0)
| $false ),
inference(rw,[status(thm)],[279,443,theory(equality)]) ).
cnf(467,negated_conjecture,
l1_rlvect_1(esk10_0),
inference(cn,[status(thm)],[466,theory(equality)]) ).
cnf(468,negated_conjecture,
l2_struct_0(esk10_0),
inference(spm,[status(thm)],[195,467,theory(equality)]) ).
cnf(469,negated_conjecture,
$false,
inference(sr,[status(thm)],[468,439,theory(equality)]) ).
cnf(470,negated_conjecture,
$false,
469,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG216+1.p
% --creating new selector for []
% -running prover on /tmp/tmplAsmZZ/sel_ALG216+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG216+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG216+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG216+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
%
%------------------------------------------------------------------------------