TSTP Solution File: SEU424+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU424+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 : Sun Dec 26 09:05:48 EST 2010
% Result : Theorem 9.47s
% Output : CNFRefutation 9.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 69 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 18 |; 13 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 47 ( 0 sgn 30 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2081,axiom,
! [X1] : u1_struct_0(k3_yellow_1(X1)) = k1_zfmisc_1(X1),
file('/tmp/tmpgeRm8J/sel_SEU424+3.p_1',t4_waybel_7) ).
fof(4021,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
file('/tmp/tmpgeRm8J/sel_SEU424+3.p_1',t18_relset_2) ).
fof(4028,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
file('/tmp/tmpgeRm8J/sel_SEU424+3.p_1',s8_domain_1__e1_22__relset_2) ).
fof(4047,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(assume_negation,[status(cth)],[4021]) ).
fof(4518,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_simplification,[status(thm)],[4047,theory(equality)]) ).
fof(4520,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_simplification,[status(thm)],[4028,theory(equality)]) ).
fof(10469,plain,
! [X2] : u1_struct_0(k3_yellow_1(X2)) = k1_zfmisc_1(X2),
inference(variable_rename,[status(thm)],[2081]) ).
cnf(10470,plain,
u1_struct_0(k3_yellow_1(X1)) = k1_zfmisc_1(X1),
inference(split_conjunct,[status(thm)],[10469]) ).
fof(15932,negated_conjecture,
? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
& ? [X4] :
( m2_relset_1(X4,X1,X2)
& ~ m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_nnf,[status(thm)],[4518]) ).
fof(15933,negated_conjecture,
? [X5] :
( ~ v1_xboole_0(X5)
& ? [X6,X7] :
( m1_subset_1(X7,k1_zfmisc_1(X5))
& ? [X8] :
( m2_relset_1(X8,X5,X6)
& ~ m1_subset_1(a_4_0_relset_2(X5,X6,X7,X8),k1_zfmisc_1(k1_zfmisc_1(X6))) ) ) ),
inference(variable_rename,[status(thm)],[15932]) ).
fof(15934,negated_conjecture,
( ~ v1_xboole_0(esk579_0)
& m1_subset_1(esk581_0,k1_zfmisc_1(esk579_0))
& m2_relset_1(esk582_0,esk579_0,esk580_0)
& ~ m1_subset_1(a_4_0_relset_2(esk579_0,esk580_0,esk581_0,esk582_0),k1_zfmisc_1(k1_zfmisc_1(esk580_0))) ),
inference(skolemize,[status(esa)],[15933]) ).
cnf(15935,negated_conjecture,
~ m1_subset_1(a_4_0_relset_2(esk579_0,esk580_0,esk581_0,esk582_0),k1_zfmisc_1(k1_zfmisc_1(esk580_0))),
inference(split_conjunct,[status(thm)],[15934]) ).
cnf(15936,negated_conjecture,
m2_relset_1(esk582_0,esk579_0,esk580_0),
inference(split_conjunct,[status(thm)],[15934]) ).
cnf(15937,negated_conjecture,
m1_subset_1(esk581_0,k1_zfmisc_1(esk579_0)),
inference(split_conjunct,[status(thm)],[15934]) ).
cnf(15938,negated_conjecture,
~ v1_xboole_0(esk579_0),
inference(split_conjunct,[status(thm)],[15934]) ).
fof(15961,plain,
! [X1,X2,X3,X4] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2)
| m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_nnf,[status(thm)],[4520]) ).
fof(15962,plain,
! [X5,X6,X7,X8] :
( v1_xboole_0(X5)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m2_relset_1(X8,X5,X6)
| m1_subset_1(a_4_0_relset_2(X5,X6,X7,X8),k1_zfmisc_1(k1_zfmisc_1(X6))) ),
inference(variable_rename,[status(thm)],[15961]) ).
cnf(15963,plain,
( m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
| v1_xboole_0(X1)
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[15962]) ).
cnf(16492,negated_conjecture,
m1_subset_1(esk581_0,u1_struct_0(k3_yellow_1(esk579_0))),
inference(rw,[status(thm)],[15937,10470,theory(equality)]),
[unfolding] ).
cnf(16736,plain,
( v1_xboole_0(X1)
| m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X2)))))
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(k3_yellow_1(X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15963,10470,theory(equality)]),10470,theory(equality)]),10470,theory(equality)]),
[unfolding] ).
cnf(17462,negated_conjecture,
~ m1_subset_1(a_4_0_relset_2(esk579_0,esk580_0,esk581_0,esk582_0),u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk580_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15935,10470,theory(equality)]),10470,theory(equality)]),
[unfolding] ).
cnf(33204,negated_conjecture,
( v1_xboole_0(esk579_0)
| ~ m2_relset_1(esk582_0,esk579_0,esk580_0)
| ~ m1_subset_1(esk581_0,u1_struct_0(k3_yellow_1(esk579_0))) ),
inference(spm,[status(thm)],[17462,16736,theory(equality)]) ).
cnf(33227,negated_conjecture,
( v1_xboole_0(esk579_0)
| $false
| ~ m1_subset_1(esk581_0,u1_struct_0(k3_yellow_1(esk579_0))) ),
inference(rw,[status(thm)],[33204,15936,theory(equality)]) ).
cnf(33228,negated_conjecture,
( v1_xboole_0(esk579_0)
| $false
| $false ),
inference(rw,[status(thm)],[33227,16492,theory(equality)]) ).
cnf(33229,negated_conjecture,
v1_xboole_0(esk579_0),
inference(cn,[status(thm)],[33228,theory(equality)]) ).
cnf(33230,negated_conjecture,
$false,
inference(sr,[status(thm)],[33229,15938,theory(equality)]) ).
cnf(33231,negated_conjecture,
$false,
33230,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU424+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, SET007+433.ax, SET007+438.ax, SET007+441.ax, SET007+445.ax, SET007+448.ax, SET007+449.ax, SET007+455.ax, SET007+463.ax, SET007+464.ax, SET007+466.ax, SET007+480.ax, SET007+481.ax, SET007+483.ax, SET007+484.ax, SET007+485.ax, SET007+486.ax, SET007+487.ax, SET007+488.ax, SET007+489.ax, SET007+490.ax, SET007+492.ax, SET007+493.ax, SET007+494.ax, SET007+495.ax, SET007+496.ax, SET007+497.ax, SET007+498.ax, SET007+500.ax, SET007+503.ax, SET007+505.ax, SET007+506.ax, SET007+509.ax, SET007+513.ax, SET007+514.ax, SET007+517.ax, SET007+520.ax, SET007+525.ax, SET007+527.ax, SET007+530.ax, SET007+537.ax, SET007+538.ax, SET007+542.ax, SET007+544.ax, SET007+545.ax, SET007+558.ax, SET007+559.ax, SET007+560.ax, SET007+561.ax, SET007+567.ax, SET007+572.ax, SET007+573.ax, SET007+586.ax, SET007+603.ax, SET007+620.ax, SET007+636.ax, SET007+637.ax, SET007+654.ax, SET007+655.ax, SET007+682.ax, SET007+695.ax, SET007+696.ax, SET007+697.ax, SET007+698.ax, SET007+699.ax, SET007+844.ax]
% -running prover on /tmp/tmpgeRm8J/sel_SEU424+3.p_1 with time limit 29
% -prover status Theorem
% Problem SEU424+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU424+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU424+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
%
%------------------------------------------------------------------------------