%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP653+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 11:15:23 EST 2010
% Result : Theorem 0.34s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 7
% Syntax : Number of formulae : 88 ( 17 unt; 0 def)
% Number of atoms : 995 ( 0 equ)
% Maximal formula atoms : 60 ( 11 avg)
% Number of connectives : 1410 ( 503 ~; 637 |; 228 &)
% ( 2 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 145 ( 0 sgn 85 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(17,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
file('/tmp/tmp-rTgR1/sel_GRP653+1.p_1',t38_latsubgr) ).
fof(43,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v4_lattices(k11_group_4(X1))
& v5_lattices(k11_group_4(X1))
& v6_lattices(k11_group_4(X1))
& v7_lattices(k11_group_4(X1))
& v8_lattices(k11_group_4(X1))
& v9_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v13_lattices(k11_group_4(X1))
& v14_lattices(k11_group_4(X1))
& v15_lattices(k11_group_4(X1)) ) ),
file('/tmp/tmp-rTgR1/sel_GRP653+1.p_1',fc1_group_4) ).
fof(44,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( m1_lattice4(X3,X1,X2)
<=> ( m4_vectsp_8(X3,X1,X2)
& m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
file('/tmp/tmp-rTgR1/sel_GRP653+1.p_1',t11_vectsp_8) ).
fof(45,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
file('/tmp/tmp-rTgR1/sel_GRP653+1.p_1',t36_latsubgr) ).
fof(50,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
file('/tmp/tmp-rTgR1/sel_GRP653+1.p_1',t37_latsubgr) ).
fof(52,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m4_vectsp_8(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
file('/tmp/tmp-rTgR1/sel_GRP653+1.p_1',dt_m4_vectsp_8) ).
fof(64,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& l3_lattices(k11_group_4(X1)) ) ),
file('/tmp/tmp-rTgR1/sel_GRP653+1.p_1',dt_k11_group_4) ).
fof(67,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[17]) ).
fof(73,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[67,theory(equality)]) ).
fof(80,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v4_lattices(k11_group_4(X1))
& v5_lattices(k11_group_4(X1))
& v6_lattices(k11_group_4(X1))
& v7_lattices(k11_group_4(X1))
& v8_lattices(k11_group_4(X1))
& v9_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v13_lattices(k11_group_4(X1))
& v14_lattices(k11_group_4(X1))
& v15_lattices(k11_group_4(X1)) ) ),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
fof(81,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( m1_lattice4(X3,X1,X2)
<=> ( m4_vectsp_8(X3,X1,X2)
& m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(82,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v2_funct_1(X3)
=> m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).
fof(84,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[50,theory(equality)]) ).
fof(85,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m4_vectsp_8(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).
fof(89,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& l3_lattices(k11_group_4(X1)) ) ),
inference(fof_simplification,[status(thm)],[64,theory(equality)]) ).
fof(157,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ? [X2] :
( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v2_funct_1(X3)
& ~ m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[73]) ).
fof(158,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v3_group_1(X4)
& v4_group_1(X4)
& l1_group_1(X4)
& ? [X5] :
( ~ v3_struct_0(X5)
& v3_group_1(X5)
& v4_group_1(X5)
& l1_group_1(X5)
& ? [X6] :
( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
& v1_group_6(X6,X4,X5)
& m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
& v2_funct_1(X6)
& ~ m1_lattice4(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(X5)) ) ) ),
inference(variable_rename,[status(thm)],[157]) ).
fof(159,negated_conjecture,
( ~ v3_struct_0(esk6_0)
& v3_group_1(esk6_0)
& v4_group_1(esk6_0)
& l1_group_1(esk6_0)
& ~ v3_struct_0(esk7_0)
& v3_group_1(esk7_0)
& v4_group_1(esk7_0)
& l1_group_1(esk7_0)
& v1_funct_1(esk8_0)
& v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
& v1_group_6(esk8_0,esk6_0,esk7_0)
& m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
& v2_funct_1(esk8_0)
& ~ m1_lattice4(k3_latsubgr(esk6_0,esk7_0,esk8_0),k11_group_4(esk6_0),k11_group_4(esk7_0)) ),
inference(skolemize,[status(esa)],[158]) ).
cnf(160,negated_conjecture,
~ m1_lattice4(k3_latsubgr(esk6_0,esk7_0,esk8_0),k11_group_4(esk6_0),k11_group_4(esk7_0)),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(161,negated_conjecture,
v2_funct_1(esk8_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(162,negated_conjecture,
m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(163,negated_conjecture,
v1_group_6(esk8_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(164,negated_conjecture,
v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(165,negated_conjecture,
v1_funct_1(esk8_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(166,negated_conjecture,
l1_group_1(esk7_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(167,negated_conjecture,
v4_group_1(esk7_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(168,negated_conjecture,
v3_group_1(esk7_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(169,negated_conjecture,
~ v3_struct_0(esk7_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(170,negated_conjecture,
l1_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(171,negated_conjecture,
v4_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(172,negated_conjecture,
v3_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(173,negated_conjecture,
~ v3_struct_0(esk6_0),
inference(split_conjunct,[status(thm)],[159]) ).
fof(258,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v4_lattices(k11_group_4(X1))
& v5_lattices(k11_group_4(X1))
& v6_lattices(k11_group_4(X1))
& v7_lattices(k11_group_4(X1))
& v8_lattices(k11_group_4(X1))
& v9_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& v13_lattices(k11_group_4(X1))
& v14_lattices(k11_group_4(X1))
& v15_lattices(k11_group_4(X1)) ) ),
inference(fof_nnf,[status(thm)],[80]) ).
fof(259,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ( ~ v3_struct_0(k11_group_4(X2))
& v3_lattices(k11_group_4(X2))
& v4_lattices(k11_group_4(X2))
& v5_lattices(k11_group_4(X2))
& v6_lattices(k11_group_4(X2))
& v7_lattices(k11_group_4(X2))
& v8_lattices(k11_group_4(X2))
& v9_lattices(k11_group_4(X2))
& v10_lattices(k11_group_4(X2))
& v13_lattices(k11_group_4(X2))
& v14_lattices(k11_group_4(X2))
& v15_lattices(k11_group_4(X2)) ) ),
inference(variable_rename,[status(thm)],[258]) ).
fof(260,plain,
! [X2] :
( ( ~ v3_struct_0(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v3_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v4_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v5_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v6_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v7_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v8_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v9_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v10_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v13_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v14_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v15_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ) ),
inference(distribute,[status(thm)],[259]) ).
cnf(264,plain,
( v3_struct_0(X1)
| v10_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[260]) ).
cnf(272,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(k11_group_4(X1)) ),
inference(split_conjunct,[status(thm)],[260]) ).
fof(273,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ( ( ~ m1_lattice4(X3,X1,X2)
| ( m4_vectsp_8(X3,X1,X2)
& m3_vectsp_8(X3,X1,X2) ) )
& ( ~ m4_vectsp_8(X3,X1,X2)
| ~ m3_vectsp_8(X3,X1,X2)
| m1_lattice4(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(274,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ! [X5] :
( v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| ! [X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ( ( ~ m1_lattice4(X6,X4,X5)
| ( m4_vectsp_8(X6,X4,X5)
& m3_vectsp_8(X6,X4,X5) ) )
& ( ~ m4_vectsp_8(X6,X4,X5)
| ~ m3_vectsp_8(X6,X4,X5)
| m1_lattice4(X6,X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[273]) ).
fof(275,plain,
! [X4,X5,X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ( ( ~ m1_lattice4(X6,X4,X5)
| ( m4_vectsp_8(X6,X4,X5)
& m3_vectsp_8(X6,X4,X5) ) )
& ( ~ m4_vectsp_8(X6,X4,X5)
| ~ m3_vectsp_8(X6,X4,X5)
| m1_lattice4(X6,X4,X5) ) )
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ),
inference(shift_quantors,[status(thm)],[274]) ).
fof(276,plain,
! [X4,X5,X6] :
( ( m4_vectsp_8(X6,X4,X5)
| ~ m1_lattice4(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( m3_vectsp_8(X6,X4,X5)
| ~ m1_lattice4(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( ~ m4_vectsp_8(X6,X4,X5)
| ~ m3_vectsp_8(X6,X4,X5)
| m1_lattice4(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[275]) ).
cnf(277,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(X3,X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m3_vectsp_8(X3,X1,X2)
| ~ m4_vectsp_8(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[276]) ).
fof(280,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_funct_1(X3)
| m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[82]) ).
fof(281,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v1_group_6(X6,X4,X5)
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v2_funct_1(X6)
| m3_vectsp_8(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(X5)) ) ) ),
inference(variable_rename,[status(thm)],[280]) ).
fof(282,plain,
! [X4,X5,X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v1_group_6(X6,X4,X5)
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v2_funct_1(X6)
| m3_vectsp_8(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(X5))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[281]) ).
cnf(283,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v2_funct_1(X3)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[282]) ).
fof(301,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[84]) ).
fof(302,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v1_group_6(X6,X4,X5)
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| m4_vectsp_8(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(X5)) ) ) ),
inference(variable_rename,[status(thm)],[301]) ).
fof(303,plain,
! [X4,X5,X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ v1_group_6(X6,X4,X5)
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| m4_vectsp_8(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(X5))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[302]) ).
cnf(304,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[303]) ).
fof(308,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ! [X3] :
( ~ m4_vectsp_8(X3,X1,X2)
| ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[85]) ).
fof(309,plain,
! [X4,X5] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| ! [X6] :
( ~ m4_vectsp_8(X6,X4,X5)
| ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
& m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) ) ) ),
inference(variable_rename,[status(thm)],[308]) ).
fof(310,plain,
! [X4,X5,X6] :
( ~ m4_vectsp_8(X6,X4,X5)
| ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
& m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ),
inference(shift_quantors,[status(thm)],[309]) ).
fof(311,plain,
! [X4,X5,X6] :
( ( v1_funct_1(X6)
| ~ m4_vectsp_8(X6,X4,X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m4_vectsp_8(X6,X4,X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m4_vectsp_8(X6,X4,X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[310]) ).
cnf(312,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[311]) ).
cnf(313,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[311]) ).
cnf(314,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m4_vectsp_8(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[311]) ).
fof(351,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ( ~ v3_struct_0(k11_group_4(X1))
& v3_lattices(k11_group_4(X1))
& v10_lattices(k11_group_4(X1))
& l3_lattices(k11_group_4(X1)) ) ),
inference(fof_nnf,[status(thm)],[89]) ).
fof(352,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ( ~ v3_struct_0(k11_group_4(X2))
& v3_lattices(k11_group_4(X2))
& v10_lattices(k11_group_4(X2))
& l3_lattices(k11_group_4(X2)) ) ),
inference(variable_rename,[status(thm)],[351]) ).
fof(353,plain,
! [X2] :
( ( ~ v3_struct_0(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v3_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v10_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( l3_lattices(k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ) ),
inference(distribute,[status(thm)],[352]) ).
cnf(354,plain,
( v3_struct_0(X1)
| l3_lattices(k11_group_4(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[353]) ).
cnf(452,plain,
( m1_lattice4(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m3_vectsp_8(X3,X1,X2)
| ~ m4_vectsp_8(X3,X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[277,312]) ).
cnf(453,plain,
( m1_lattice4(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m3_vectsp_8(X3,X1,X2)
| ~ m4_vectsp_8(X3,X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[452,313]) ).
cnf(454,plain,
( m1_lattice4(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m3_vectsp_8(X3,X1,X2)
| ~ m4_vectsp_8(X3,X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[453,314]) ).
cnf(457,plain,
( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(k11_group_4(X1))
| v3_struct_0(k11_group_4(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X1))
| ~ v10_lattices(k11_group_4(X2))
| ~ v10_lattices(k11_group_4(X1))
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X1,X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[454,283,theory(equality)]) ).
cnf(1098,plain,
( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(k11_group_4(X1))
| v3_struct_0(k11_group_4(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X1,X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X1))
| ~ v10_lattices(k11_group_4(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[457,264]) ).
cnf(1099,plain,
( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(k11_group_4(X1))
| v3_struct_0(k11_group_4(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X1,X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[1098,264]) ).
cnf(1100,plain,
( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(k11_group_4(X1))
| v3_struct_0(k11_group_4(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X1,X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[1099,354]) ).
cnf(1101,plain,
( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(k11_group_4(X1))
| v3_struct_0(k11_group_4(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X1,X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[1100,354]) ).
cnf(1102,plain,
( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(k11_group_4(X1))
| v3_struct_0(k11_group_4(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X1,X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[1101,304]) ).
cnf(1103,plain,
( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(k11_group_4(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X1,X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[1102,272]) ).
cnf(1104,plain,
( m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v2_funct_1(X3)
| ~ v1_group_6(X3,X1,X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[1103,272]) ).
cnf(1105,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| ~ v2_funct_1(esk8_0)
| ~ v1_group_6(esk8_0,esk6_0,esk7_0)
| ~ l1_group_1(esk7_0)
| ~ l1_group_1(esk6_0)
| ~ v4_group_1(esk7_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk7_0)
| ~ v3_group_1(esk6_0)
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(spm,[status(thm)],[160,1104,theory(equality)]) ).
cnf(1109,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| ~ v1_group_6(esk8_0,esk6_0,esk7_0)
| ~ l1_group_1(esk7_0)
| ~ l1_group_1(esk6_0)
| ~ v4_group_1(esk7_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk7_0)
| ~ v3_group_1(esk6_0)
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1105,161,theory(equality)]) ).
cnf(1110,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| ~ l1_group_1(esk7_0)
| ~ l1_group_1(esk6_0)
| ~ v4_group_1(esk7_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk7_0)
| ~ v3_group_1(esk6_0)
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1109,163,theory(equality)]) ).
cnf(1111,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| ~ l1_group_1(esk6_0)
| ~ v4_group_1(esk7_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk7_0)
| ~ v3_group_1(esk6_0)
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1110,166,theory(equality)]) ).
cnf(1112,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk7_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk7_0)
| ~ v3_group_1(esk6_0)
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1111,170,theory(equality)]) ).
cnf(1113,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk7_0)
| ~ v3_group_1(esk6_0)
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1112,167,theory(equality)]) ).
cnf(1114,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk7_0)
| ~ v3_group_1(esk6_0)
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1113,171,theory(equality)]) ).
cnf(1115,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk6_0)
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1114,168,theory(equality)]) ).
cnf(1116,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1115,172,theory(equality)]) ).
cnf(1117,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1116,162,theory(equality)]) ).
cnf(1118,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v1_funct_1(esk8_0) ),
inference(rw,[status(thm)],[1117,164,theory(equality)]) ).
cnf(1119,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1118,165,theory(equality)]) ).
cnf(1120,negated_conjecture,
( v3_struct_0(esk7_0)
| v3_struct_0(esk6_0) ),
inference(cn,[status(thm)],[1119,theory(equality)]) ).
cnf(1121,negated_conjecture,
v3_struct_0(esk6_0),
inference(sr,[status(thm)],[1120,169,theory(equality)]) ).
cnf(1122,negated_conjecture,
$false,
inference(sr,[status(thm)],[1121,173,theory(equality)]) ).
cnf(1123,negated_conjecture,
$false,
1122,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP653+1.p
% --creating new selector for []
% -running prover on /tmp/tmp-rTgR1/sel_GRP653+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP653+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP653+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP653+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
%
%------------------------------------------------------------------------------