%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP641+2 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 10:54:09 EST 2010
% Result : Theorem 22.93s
% Output : CNFRefutation 22.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 4
% Syntax : Number of formulae : 51 ( 11 unt; 0 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 352 ( 132 ~; 150 |; 50 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2348,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
file('/tmp/tmp0R9YFh/sel_GRP641+2.p_1',dt_k2_group_1) ).
fof(2793,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> r1_rlvect_1(X2,k2_group_1(X1)) ) ),
file('/tmp/tmp0R9YFh/sel_GRP641+2.p_1',t55_group_2) ).
fof(2973,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) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
file('/tmp/tmp0R9YFh/sel_GRP641+2.p_1',t19_latsubgr) ).
fof(2978,axiom,
! [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) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
file('/tmp/tmp0R9YFh/sel_GRP641+2.p_1',t18_latsubgr) ).
fof(2988,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) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(assume_negation,[status(cth)],[2973]) ).
fof(3542,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[2348,theory(equality)]) ).
fof(3637,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> r1_rlvect_1(X2,k2_group_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[2793,theory(equality)]) ).
fof(3682,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) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(fof_simplification,[status(thm)],[2988,theory(equality)]) ).
fof(3686,plain,
! [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) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[2978,theory(equality)]) ).
fof(11424,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[3542]) ).
fof(11425,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_group_1(X2)
| m1_subset_1(k2_group_1(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[11424]) ).
cnf(11426,plain,
( m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[11425]) ).
fof(12895,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| r1_rlvect_1(X2,k2_group_1(X1)) ) ),
inference(fof_nnf,[status(thm)],[3637]) ).
fof(12896,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ! [X4] :
( ~ m1_group_2(X4,X3)
| r1_rlvect_1(X4,k2_group_1(X3)) ) ),
inference(variable_rename,[status(thm)],[12895]) ).
fof(12897,plain,
! [X3,X4] :
( ~ m1_group_2(X4,X3)
| r1_rlvect_1(X4,k2_group_1(X3))
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(shift_quantors,[status(thm)],[12896]) ).
cnf(12898,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_1(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[12897]) ).
fof(13482,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)
& ~ r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(fof_nnf,[status(thm)],[3682]) ).
fof(13483,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)
& ~ r2_hidden(k2_group_1(X3),k1_funct_1(k1_latsubgr(X3),X4)) ) ),
inference(variable_rename,[status(thm)],[13482]) ).
fof(13484,negated_conjecture,
( ~ v3_struct_0(esk442_0)
& v3_group_1(esk442_0)
& v4_group_1(esk442_0)
& l1_group_1(esk442_0)
& v1_group_1(esk443_0)
& m1_group_2(esk443_0,esk442_0)
& ~ r2_hidden(k2_group_1(esk442_0),k1_funct_1(k1_latsubgr(esk442_0),esk443_0)) ),
inference(skolemize,[status(esa)],[13483]) ).
cnf(13485,negated_conjecture,
~ r2_hidden(k2_group_1(esk442_0),k1_funct_1(k1_latsubgr(esk442_0),esk443_0)),
inference(split_conjunct,[status(thm)],[13484]) ).
cnf(13486,negated_conjecture,
m1_group_2(esk443_0,esk442_0),
inference(split_conjunct,[status(thm)],[13484]) ).
cnf(13487,negated_conjecture,
v1_group_1(esk443_0),
inference(split_conjunct,[status(thm)],[13484]) ).
cnf(13488,negated_conjecture,
l1_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13484]) ).
cnf(13489,negated_conjecture,
v4_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13484]) ).
cnf(13490,negated_conjecture,
v3_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13484]) ).
cnf(13491,negated_conjecture,
~ v3_struct_0(esk442_0),
inference(split_conjunct,[status(thm)],[13484]) ).
fof(13505,plain,
! [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)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ( ( ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
| r1_rlvect_1(X2,X3) )
& ( ~ r1_rlvect_1(X2,X3)
| r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[3686]) ).
fof(13506,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| r1_rlvect_1(X5,X6) )
& ( ~ r1_rlvect_1(X5,X6)
| r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5)) ) ) ) ) ),
inference(variable_rename,[status(thm)],[13505]) ).
fof(13507,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| r1_rlvect_1(X5,X6) )
& ( ~ r1_rlvect_1(X5,X6)
| r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5)) ) )
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[13506]) ).
fof(13508,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| r1_rlvect_1(X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( ~ r1_rlvect_1(X5,X6)
| r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ) ),
inference(distribute,[status(thm)],[13507]) ).
cnf(13509,plain,
( v3_struct_0(X1)
| r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_rlvect_1(X2,X3) ),
inference(split_conjunct,[status(thm)],[13508]) ).
cnf(46562,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ v1_group_1(esk443_0)
| ~ r1_rlvect_1(esk443_0,k2_group_1(esk442_0))
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(spm,[status(thm)],[13485,13509,theory(equality)]) ).
cnf(46622,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k2_group_1(esk442_0))
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[46562,13487,theory(equality)]) ).
cnf(46623,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k2_group_1(esk442_0))
| $false
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[46622,13486,theory(equality)]) ).
cnf(46624,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k2_group_1(esk442_0))
| $false
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[46623,13488,theory(equality)]) ).
cnf(46625,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k2_group_1(esk442_0))
| $false
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[46624,13489,theory(equality)]) ).
cnf(46626,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k2_group_1(esk442_0))
| $false
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[46625,13490,theory(equality)]) ).
cnf(46627,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ r1_rlvect_1(esk443_0,k2_group_1(esk442_0))
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0)) ),
inference(cn,[status(thm)],[46626,theory(equality)]) ).
cnf(46628,negated_conjecture,
( ~ r1_rlvect_1(esk443_0,k2_group_1(esk442_0))
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0)) ),
inference(sr,[status(thm)],[46627,13491,theory(equality)]) ).
cnf(129267,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| ~ m1_group_2(esk443_0,esk442_0)
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(spm,[status(thm)],[46628,12898,theory(equality)]) ).
cnf(129275,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| $false
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[129267,13486,theory(equality)]) ).
cnf(129276,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| $false
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[129275,13488,theory(equality)]) ).
cnf(129277,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[129276,13489,theory(equality)]) ).
cnf(129278,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[129277,13490,theory(equality)]) ).
cnf(129279,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0)) ),
inference(cn,[status(thm)],[129278,theory(equality)]) ).
cnf(129280,negated_conjecture,
~ m1_subset_1(k2_group_1(esk442_0),u1_struct_0(esk442_0)),
inference(sr,[status(thm)],[129279,13491,theory(equality)]) ).
cnf(129291,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ l1_group_1(esk442_0) ),
inference(spm,[status(thm)],[129280,11426,theory(equality)]) ).
cnf(129301,negated_conjecture,
( v3_struct_0(esk442_0)
| $false ),
inference(rw,[status(thm)],[129291,13488,theory(equality)]) ).
cnf(129302,negated_conjecture,
v3_struct_0(esk442_0),
inference(cn,[status(thm)],[129301,theory(equality)]) ).
cnf(129303,negated_conjecture,
$false,
inference(sr,[status(thm)],[129302,13491,theory(equality)]) ).
cnf(129304,negated_conjecture,
$false,
129303,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP641+2.p
% --creating new selector for [SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+4.ax, SET007+5.ax, SET007+6.ax, SET007+7.ax, SET007+8.ax, SET007+9.ax, SET007+10.ax, SET007+11.ax, SET007+13.ax, SET007+14.ax, SET007+16.ax, SET007+17.ax, SET007+18.ax, SET007+20.ax, SET007+22.ax, SET007+23.ax, SET007+25.ax, SET007+26.ax, SET007+31.ax, SET007+32.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+71.ax, SET007+117.ax, SET007+200.ax, SET007+205.ax, SET007+210.ax, SET007+212.ax, SET007+213.ax, SET007+218.ax, SET007+242.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+252.ax, SET007+255.ax, SET007+295.ax, SET007+312.ax, SET007+335.ax, SET007+375.ax, SET007+432.ax]
% -running prover on /tmp/tmp0R9YFh/sel_GRP641+2.p_1 with time limit 29
% -prover status Theorem
% Problem GRP641+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP641+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP641+2.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
%
%------------------------------------------------------------------------------