TSTP Solution File: GRP642+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP642+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 10:55:05 EST 2010
% Result : Theorem 0.33s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 76 ( 16 unt; 0 def)
% Number of atoms : 433 ( 46 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 570 ( 213 ~; 243 |; 91 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/tmp/tmphfSx7H/sel_GRP642+1.p_1',d1_latsubgr) ).
fof(13,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> k1_funct_1(k1_latsubgr(X1),X2) != k1_xboole_0 ) ),
file('/tmp/tmphfSx7H/sel_GRP642+1.p_1',t20_latsubgr) ).
fof(15,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/tmp/tmphfSx7H/sel_GRP642+1.p_1',fc1_struct_0) ).
fof(25,axiom,
v1_xboole_0(k1_xboole_0),
file('/tmp/tmphfSx7H/sel_GRP642+1.p_1',fc1_xboole_0) ).
fof(26,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/tmp/tmphfSx7H/sel_GRP642+1.p_1',dt_m1_group_2) ).
fof(35,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/tmp/tmphfSx7H/sel_GRP642+1.p_1',dt_k1_latsubgr) ).
fof(40,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmphfSx7H/sel_GRP642+1.p_1',dt_l1_group_1) ).
fof(54,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> k1_funct_1(k1_latsubgr(X1),X2) != k1_xboole_0 ) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(59,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> k1_funct_1(k1_latsubgr(X1),X2) != k1_xboole_0 ) ),
inference(fof_simplification,[status(thm)],[54,theory(equality)]) ).
fof(60,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(63,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[26,theory(equality)]) ).
fof(65,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[35,theory(equality)]) ).
fof(72,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ( ( X2 != k1_latsubgr(X1)
| ! [X3] :
( ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| k1_funct_1(X2,X3) = u1_struct_0(X3) ) )
& ( ? [X3] :
( v1_group_1(X3)
& m1_group_2(X3,X1)
& k1_funct_1(X2,X3) != u1_struct_0(X3) )
| X2 = k1_latsubgr(X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(73,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ( ( X5 != k1_latsubgr(X4)
| ! [X6] :
( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6) ) )
& ( ? [X7] :
( v1_group_1(X7)
& m1_group_2(X7,X4)
& k1_funct_1(X5,X7) != u1_struct_0(X7) )
| X5 = k1_latsubgr(X4) ) ) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ( ( X5 != k1_latsubgr(X4)
| ! [X6] :
( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6) ) )
& ( ( v1_group_1(esk1_2(X4,X5))
& m1_group_2(esk1_2(X4,X5),X4)
& k1_funct_1(X5,esk1_2(X4,X5)) != u1_struct_0(esk1_2(X4,X5)) )
| X5 = k1_latsubgr(X4) ) ) ) ),
inference(skolemize,[status(esa)],[73]) ).
fof(75,plain,
! [X4,X5,X6] :
( ( ( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6)
| X5 != k1_latsubgr(X4) )
& ( ( v1_group_1(esk1_2(X4,X5))
& m1_group_2(esk1_2(X4,X5),X4)
& k1_funct_1(X5,esk1_2(X4,X5)) != u1_struct_0(esk1_2(X4,X5)) )
| X5 = k1_latsubgr(X4) ) )
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[74]) ).
fof(76,plain,
! [X4,X5,X6] :
( ( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6)
| X5 != k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_group_1(esk1_2(X4,X5))
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( m1_group_2(esk1_2(X4,X5),X4)
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( k1_funct_1(X5,esk1_2(X4,X5)) != u1_struct_0(esk1_2(X4,X5))
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ) ),
inference(distribute,[status(thm)],[75]) ).
cnf(80,plain,
( v3_struct_0(X1)
| k1_funct_1(X2,X3) = u1_struct_0(X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(X2)
| X2 != k1_latsubgr(X1)
| ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(119,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ? [X2] :
( v1_group_1(X2)
& m1_group_2(X2,X1)
& k1_funct_1(k1_latsubgr(X1),X2) = k1_xboole_0 ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(120,negated_conjecture,
? [X3] :
( ~ v3_struct_0(X3)
& v3_group_1(X3)
& v4_group_1(X3)
& l1_group_1(X3)
& ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X3)
& k1_funct_1(k1_latsubgr(X3),X4) = k1_xboole_0 ) ),
inference(variable_rename,[status(thm)],[119]) ).
fof(121,negated_conjecture,
( ~ v3_struct_0(esk6_0)
& v3_group_1(esk6_0)
& v4_group_1(esk6_0)
& l1_group_1(esk6_0)
& v1_group_1(esk7_0)
& m1_group_2(esk7_0,esk6_0)
& k1_funct_1(k1_latsubgr(esk6_0),esk7_0) = k1_xboole_0 ),
inference(skolemize,[status(esa)],[120]) ).
cnf(122,negated_conjecture,
k1_funct_1(k1_latsubgr(esk6_0),esk7_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[121]) ).
cnf(123,negated_conjecture,
m1_group_2(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(124,negated_conjecture,
v1_group_1(esk7_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(125,negated_conjecture,
l1_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(126,negated_conjecture,
v4_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(127,negated_conjecture,
v3_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[121]) ).
cnf(128,negated_conjecture,
~ v3_struct_0(esk6_0),
inference(split_conjunct,[status(thm)],[121]) ).
fof(132,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(133,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[132]) ).
cnf(134,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(165,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[25]) ).
fof(166,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(167,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3)
| ! [X4] :
( ~ m1_group_2(X4,X3)
| ( ~ v3_struct_0(X4)
& v3_group_1(X4)
& l1_group_1(X4) ) ) ),
inference(variable_rename,[status(thm)],[166]) ).
fof(168,plain,
! [X3,X4] :
( ~ m1_group_2(X4,X3)
| ( ~ v3_struct_0(X4)
& v3_group_1(X4)
& l1_group_1(X4) )
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ),
inference(shift_quantors,[status(thm)],[167]) ).
fof(169,plain,
! [X3,X4] :
( ( ~ v3_struct_0(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( v3_group_1(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( l1_group_1(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ) ),
inference(distribute,[status(thm)],[168]) ).
cnf(170,plain,
( v3_struct_0(X1)
| l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(172,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[169]) ).
fof(195,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(196,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ( v1_funct_1(k1_latsubgr(X2))
& v1_funct_2(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
& m2_relset_1(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2))) ) ),
inference(variable_rename,[status(thm)],[195]) ).
fof(197,plain,
! [X2] :
( ( v1_funct_1(k1_latsubgr(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v1_funct_2(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( m2_relset_1(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ) ),
inference(distribute,[status(thm)],[196]) ).
cnf(198,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[197]) ).
cnf(199,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[197]) ).
cnf(200,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[197]) ).
fof(214,plain,
! [X1] :
( ~ l1_group_1(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(215,plain,
! [X2] :
( ~ l1_group_1(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[214]) ).
cnf(216,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[215]) ).
cnf(273,negated_conjecture,
( l1_group_1(esk7_0)
| v3_struct_0(esk6_0)
| ~ l1_group_1(esk6_0)
| ~ v3_group_1(esk6_0) ),
inference(spm,[status(thm)],[170,123,theory(equality)]) ).
cnf(274,negated_conjecture,
( l1_group_1(esk7_0)
| v3_struct_0(esk6_0)
| $false
| ~ v3_group_1(esk6_0) ),
inference(rw,[status(thm)],[273,125,theory(equality)]) ).
cnf(275,negated_conjecture,
( l1_group_1(esk7_0)
| v3_struct_0(esk6_0)
| $false
| $false ),
inference(rw,[status(thm)],[274,127,theory(equality)]) ).
cnf(276,negated_conjecture,
( l1_group_1(esk7_0)
| v3_struct_0(esk6_0) ),
inference(cn,[status(thm)],[275,theory(equality)]) ).
cnf(277,negated_conjecture,
l1_group_1(esk7_0),
inference(sr,[status(thm)],[276,128,theory(equality)]) ).
cnf(278,negated_conjecture,
( v3_struct_0(esk6_0)
| ~ l1_group_1(esk6_0)
| ~ v3_group_1(esk6_0)
| ~ v3_struct_0(esk7_0) ),
inference(spm,[status(thm)],[172,123,theory(equality)]) ).
cnf(279,negated_conjecture,
( v3_struct_0(esk6_0)
| $false
| ~ v3_group_1(esk6_0)
| ~ v3_struct_0(esk7_0) ),
inference(rw,[status(thm)],[278,125,theory(equality)]) ).
cnf(280,negated_conjecture,
( v3_struct_0(esk6_0)
| $false
| $false
| ~ v3_struct_0(esk7_0) ),
inference(rw,[status(thm)],[279,127,theory(equality)]) ).
cnf(281,negated_conjecture,
( v3_struct_0(esk6_0)
| ~ v3_struct_0(esk7_0) ),
inference(cn,[status(thm)],[280,theory(equality)]) ).
cnf(282,negated_conjecture,
~ v3_struct_0(esk7_0),
inference(sr,[status(thm)],[281,128,theory(equality)]) ).
cnf(288,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[134,216,theory(equality)]) ).
cnf(367,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[80,198,theory(equality)]) ).
cnf(397,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk7_0))
| ~ l1_group_1(esk7_0) ),
inference(spm,[status(thm)],[282,288,theory(equality)]) ).
cnf(400,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk7_0))
| $false ),
inference(rw,[status(thm)],[397,277,theory(equality)]) ).
cnf(401,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk7_0)),
inference(cn,[status(thm)],[400,theory(equality)]) ).
cnf(1437,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[367,200]) ).
cnf(1438,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[1437,199]) ).
cnf(1439,negated_conjecture,
( u1_struct_0(esk7_0) = k1_xboole_0
| v3_struct_0(esk6_0)
| ~ m1_group_2(esk7_0,esk6_0)
| ~ v1_group_1(esk7_0)
| ~ l1_group_1(esk6_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk6_0) ),
inference(spm,[status(thm)],[122,1438,theory(equality)]) ).
cnf(1440,negated_conjecture,
( u1_struct_0(esk7_0) = k1_xboole_0
| v3_struct_0(esk6_0)
| $false
| ~ v1_group_1(esk7_0)
| ~ l1_group_1(esk6_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk6_0) ),
inference(rw,[status(thm)],[1439,123,theory(equality)]) ).
cnf(1441,negated_conjecture,
( u1_struct_0(esk7_0) = k1_xboole_0
| v3_struct_0(esk6_0)
| $false
| $false
| ~ l1_group_1(esk6_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk6_0) ),
inference(rw,[status(thm)],[1440,124,theory(equality)]) ).
cnf(1442,negated_conjecture,
( u1_struct_0(esk7_0) = k1_xboole_0
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk6_0) ),
inference(rw,[status(thm)],[1441,125,theory(equality)]) ).
cnf(1443,negated_conjecture,
( u1_struct_0(esk7_0) = k1_xboole_0
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk6_0) ),
inference(rw,[status(thm)],[1442,126,theory(equality)]) ).
cnf(1444,negated_conjecture,
( u1_struct_0(esk7_0) = k1_xboole_0
| v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1443,127,theory(equality)]) ).
cnf(1445,negated_conjecture,
( u1_struct_0(esk7_0) = k1_xboole_0
| v3_struct_0(esk6_0) ),
inference(cn,[status(thm)],[1444,theory(equality)]) ).
cnf(1446,negated_conjecture,
u1_struct_0(esk7_0) = k1_xboole_0,
inference(sr,[status(thm)],[1445,128,theory(equality)]) ).
cnf(1465,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[401,1446,theory(equality)]),165,theory(equality)]) ).
cnf(1466,negated_conjecture,
$false,
inference(cn,[status(thm)],[1465,theory(equality)]) ).
cnf(1467,negated_conjecture,
$false,
1466,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP642+1.p
% --creating new selector for []
% -running prover on /tmp/tmphfSx7H/sel_GRP642+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP642+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP642+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP642+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
%
%------------------------------------------------------------------------------