TSTP Solution File: GRP641+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP641+3 : 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 10:54:28 EST 2010
% Result : Theorem 76.32s
% Output : CNFRefutation 76.32s
% 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(3771,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
file('/tmp/tmpxVOc_r/sel_GRP641+3.p_2',dt_k2_group_1) ).
fof(4438,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/tmpxVOc_r/sel_GRP641+3.p_2',t55_group_2) ).
fof(4714,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/tmpxVOc_r/sel_GRP641+3.p_2',t19_latsubgr) ).
fof(4719,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/tmpxVOc_r/sel_GRP641+3.p_2',t18_latsubgr) ).
fof(4729,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)],[4714]) ).
fof(5559,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)],[3771,theory(equality)]) ).
fof(5681,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)],[4438,theory(equality)]) ).
fof(5743,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)],[4729,theory(equality)]) ).
fof(5747,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)],[4719,theory(equality)]) ).
fof(18131,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)],[5559]) ).
fof(18132,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)],[18131]) ).
cnf(18133,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)],[18132]) ).
fof(20306,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)],[5681]) ).
fof(20307,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)],[20306]) ).
fof(20308,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)],[20307]) ).
cnf(20309,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)],[20308]) ).
fof(21174,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)],[5743]) ).
fof(21175,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)],[21174]) ).
fof(21176,negated_conjecture,
( ~ v3_struct_0(esk732_0)
& v3_group_1(esk732_0)
& v4_group_1(esk732_0)
& l1_group_1(esk732_0)
& v1_group_1(esk733_0)
& m1_group_2(esk733_0,esk732_0)
& ~ r2_hidden(k2_group_1(esk732_0),k1_funct_1(k1_latsubgr(esk732_0),esk733_0)) ),
inference(skolemize,[status(esa)],[21175]) ).
cnf(21177,negated_conjecture,
~ r2_hidden(k2_group_1(esk732_0),k1_funct_1(k1_latsubgr(esk732_0),esk733_0)),
inference(split_conjunct,[status(thm)],[21176]) ).
cnf(21178,negated_conjecture,
m1_group_2(esk733_0,esk732_0),
inference(split_conjunct,[status(thm)],[21176]) ).
cnf(21179,negated_conjecture,
v1_group_1(esk733_0),
inference(split_conjunct,[status(thm)],[21176]) ).
cnf(21180,negated_conjecture,
l1_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21176]) ).
cnf(21181,negated_conjecture,
v4_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21176]) ).
cnf(21182,negated_conjecture,
v3_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21176]) ).
cnf(21183,negated_conjecture,
~ v3_struct_0(esk732_0),
inference(split_conjunct,[status(thm)],[21176]) ).
fof(21197,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)],[5747]) ).
fof(21198,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)],[21197]) ).
fof(21199,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)],[21198]) ).
fof(21200,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)],[21199]) ).
cnf(21201,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)],[21200]) ).
cnf(79016,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ v1_group_1(esk733_0)
| ~ r1_rlvect_1(esk733_0,k2_group_1(esk732_0))
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(spm,[status(thm)],[21177,21201,theory(equality)]) ).
cnf(79112,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k2_group_1(esk732_0))
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[79016,21179,theory(equality)]) ).
cnf(79113,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k2_group_1(esk732_0))
| $false
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[79112,21178,theory(equality)]) ).
cnf(79114,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k2_group_1(esk732_0))
| $false
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| $false
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[79113,21180,theory(equality)]) ).
cnf(79115,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k2_group_1(esk732_0))
| $false
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| $false
| $false
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[79114,21181,theory(equality)]) ).
cnf(79116,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k2_group_1(esk732_0))
| $false
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[79115,21182,theory(equality)]) ).
cnf(79117,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ r1_rlvect_1(esk733_0,k2_group_1(esk732_0))
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0)) ),
inference(cn,[status(thm)],[79116,theory(equality)]) ).
cnf(79118,negated_conjecture,
( ~ r1_rlvect_1(esk733_0,k2_group_1(esk732_0))
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0)) ),
inference(sr,[status(thm)],[79117,21183,theory(equality)]) ).
cnf(272684,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| ~ m1_group_2(esk733_0,esk732_0)
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(spm,[status(thm)],[79118,20309,theory(equality)]) ).
cnf(272689,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| $false
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[272684,21178,theory(equality)]) ).
cnf(272690,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| $false
| $false
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[272689,21180,theory(equality)]) ).
cnf(272691,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| $false
| $false
| $false
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[272690,21181,theory(equality)]) ).
cnf(272692,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[272691,21182,theory(equality)]) ).
cnf(272693,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0)) ),
inference(cn,[status(thm)],[272692,theory(equality)]) ).
cnf(272694,negated_conjecture,
~ m1_subset_1(k2_group_1(esk732_0),u1_struct_0(esk732_0)),
inference(sr,[status(thm)],[272693,21183,theory(equality)]) ).
cnf(272695,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ l1_group_1(esk732_0) ),
inference(spm,[status(thm)],[272694,18133,theory(equality)]) ).
cnf(272700,negated_conjecture,
( v3_struct_0(esk732_0)
| $false ),
inference(rw,[status(thm)],[272695,21180,theory(equality)]) ).
cnf(272701,negated_conjecture,
v3_struct_0(esk732_0),
inference(cn,[status(thm)],[272700,theory(equality)]) ).
cnf(272702,negated_conjecture,
$false,
inference(sr,[status(thm)],[272701,21183,theory(equality)]) ).
cnf(272703,negated_conjecture,
$false,
272702,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP641+3.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+15.ax, SET007+16.ax, SET007+17.ax, SET007+18.ax, SET007+19.ax, SET007+20.ax, SET007+21.ax, SET007+22.ax, SET007+23.ax, SET007+24.ax, SET007+25.ax, SET007+26.ax, SET007+31.ax, SET007+32.ax, SET007+33.ax, SET007+34.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+50.ax, SET007+51.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+61.ax, SET007+64.ax, SET007+66.ax, SET007+67.ax, SET007+68.ax, SET007+71.ax, SET007+75.ax, SET007+76.ax, SET007+77.ax, SET007+79.ax, SET007+80.ax, SET007+86.ax, SET007+91.ax, SET007+117.ax, SET007+125.ax, SET007+126.ax, SET007+148.ax, SET007+159.ax, SET007+165.ax, SET007+170.ax, SET007+182.ax, SET007+186.ax, SET007+188.ax, SET007+190.ax, SET007+200.ax, SET007+202.ax, SET007+205.ax, SET007+206.ax, SET007+207.ax, SET007+209.ax, SET007+210.ax, SET007+211.ax, SET007+212.ax, SET007+213.ax, SET007+217.ax, SET007+218.ax, SET007+223.ax, SET007+224.ax, SET007+225.ax, SET007+227.ax, SET007+237.ax, SET007+241.ax, SET007+242.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+252.ax, SET007+253.ax, SET007+255.ax, SET007+256.ax, SET007+276.ax, SET007+278.ax, SET007+279.ax, SET007+280.ax, SET007+281.ax, SET007+293.ax, SET007+295.ax, SET007+297.ax, SET007+298.ax, SET007+299.ax, SET007+301.ax, SET007+308.ax, SET007+309.ax, SET007+311.ax, SET007+312.ax, SET007+317.ax, SET007+321.ax, SET007+322.ax, SET007+327.ax, SET007+335.ax, SET007+338.ax, SET007+339.ax, SET007+354.ax, SET007+363.ax, SET007+365.ax, SET007+370.ax, SET007+375.ax, SET007+377.ax, SET007+384.ax, SET007+387.ax, SET007+388.ax, SET007+393.ax, SET007+394.ax, SET007+395.ax, SET007+396.ax, SET007+399.ax, SET007+401.ax, SET007+405.ax, SET007+406.ax, SET007+407.ax, SET007+411.ax, SET007+412.ax, SET007+426.ax, SET007+427.ax, SET007+432.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpxVOc_r/sel_GRP641+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpxVOc_r/sel_GRP641+3.p_2 with time limit 79
% -prover status Theorem
% Problem GRP641+3.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP641+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP641+3.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
%
%------------------------------------------------------------------------------