TSTP Solution File: SEU430+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU430+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 09:20:36 EST 2010
% Result : Theorem 32.24s
% Output : CNFRefutation 32.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 47 ( 11 unt; 0 def)
% Number of atoms : 145 ( 90 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 161 ( 63 ~; 61 |; 30 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 31 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2011,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> k5_setfam_1(X1,X2) = k3_tarski(X2) ),
file('/tmp/tmpH5AOdc/sel_SEU430+3.p_1',redefinition_k5_setfam_1) ).
fof(2081,axiom,
! [X1] : u1_struct_0(k3_yellow_1(X1)) = k1_zfmisc_1(X1),
file('/tmp/tmpH5AOdc/sel_SEU430+3.p_1',t4_waybel_7) ).
fof(2566,axiom,
! [X1] :
( ~ ( ? [X2] :
( X2 != k1_xboole_0
& r2_hidden(X2,X1) )
& k3_tarski(X1) = k1_xboole_0 )
& ~ ( k3_tarski(X1) != k1_xboole_0
& ! [X2] :
~ ( X2 != k1_xboole_0
& r2_hidden(X2,X1) ) ) ),
file('/tmp/tmpH5AOdc/sel_SEU430+3.p_1',t91_orders_1) ).
fof(4012,conjecture,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( k5_setfam_1(X1,X2) = k1_xboole_0
<=> ! [X3] :
( r2_hidden(X3,X2)
=> X3 = k1_xboole_0 ) ) ),
file('/tmp/tmpH5AOdc/sel_SEU430+3.p_1',t30_relset_2) ).
fof(4059,negated_conjecture,
~ ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( k5_setfam_1(X1,X2) = k1_xboole_0
<=> ! [X3] :
( r2_hidden(X3,X2)
=> X3 = k1_xboole_0 ) ) ),
inference(assume_negation,[status(cth)],[4012]) ).
fof(10272,plain,
! [X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| k5_setfam_1(X1,X2) = k3_tarski(X2) ),
inference(fof_nnf,[status(thm)],[2011]) ).
fof(10273,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X3)))
| k5_setfam_1(X3,X4) = k3_tarski(X4) ),
inference(variable_rename,[status(thm)],[10272]) ).
cnf(10274,plain,
( k5_setfam_1(X1,X2) = k3_tarski(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(split_conjunct,[status(thm)],[10273]) ).
fof(10481,plain,
! [X2] : u1_struct_0(k3_yellow_1(X2)) = k1_zfmisc_1(X2),
inference(variable_rename,[status(thm)],[2081]) ).
cnf(10482,plain,
u1_struct_0(k3_yellow_1(X1)) = k1_zfmisc_1(X1),
inference(split_conjunct,[status(thm)],[10481]) ).
fof(11874,plain,
! [X1] :
( ( ! [X2] :
( X2 = k1_xboole_0
| ~ r2_hidden(X2,X1) )
| k3_tarski(X1) != k1_xboole_0 )
& ( k3_tarski(X1) = k1_xboole_0
| ? [X2] :
( X2 != k1_xboole_0
& r2_hidden(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[2566]) ).
fof(11875,plain,
! [X3] :
( ( ! [X4] :
( X4 = k1_xboole_0
| ~ r2_hidden(X4,X3) )
| k3_tarski(X3) != k1_xboole_0 )
& ( k3_tarski(X3) = k1_xboole_0
| ? [X5] :
( X5 != k1_xboole_0
& r2_hidden(X5,X3) ) ) ),
inference(variable_rename,[status(thm)],[11874]) ).
fof(11876,plain,
! [X3] :
( ( ! [X4] :
( X4 = k1_xboole_0
| ~ r2_hidden(X4,X3) )
| k3_tarski(X3) != k1_xboole_0 )
& ( k3_tarski(X3) = k1_xboole_0
| ( esk374_1(X3) != k1_xboole_0
& r2_hidden(esk374_1(X3),X3) ) ) ),
inference(skolemize,[status(esa)],[11875]) ).
fof(11877,plain,
! [X3,X4] :
( ( X4 = k1_xboole_0
| ~ r2_hidden(X4,X3)
| k3_tarski(X3) != k1_xboole_0 )
& ( k3_tarski(X3) = k1_xboole_0
| ( esk374_1(X3) != k1_xboole_0
& r2_hidden(esk374_1(X3),X3) ) ) ),
inference(shift_quantors,[status(thm)],[11876]) ).
fof(11878,plain,
! [X3,X4] :
( ( X4 = k1_xboole_0
| ~ r2_hidden(X4,X3)
| k3_tarski(X3) != k1_xboole_0 )
& ( esk374_1(X3) != k1_xboole_0
| k3_tarski(X3) = k1_xboole_0 )
& ( r2_hidden(esk374_1(X3),X3)
| k3_tarski(X3) = k1_xboole_0 ) ),
inference(distribute,[status(thm)],[11877]) ).
cnf(11879,plain,
( k3_tarski(X1) = k1_xboole_0
| r2_hidden(esk374_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[11878]) ).
cnf(11880,plain,
( k3_tarski(X1) = k1_xboole_0
| esk374_1(X1) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[11878]) ).
cnf(11881,plain,
( X2 = k1_xboole_0
| k3_tarski(X1) != k1_xboole_0
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[11878]) ).
fof(15917,negated_conjecture,
? [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
& ( k5_setfam_1(X1,X2) != k1_xboole_0
| ? [X3] :
( r2_hidden(X3,X2)
& X3 != k1_xboole_0 ) )
& ( k5_setfam_1(X1,X2) = k1_xboole_0
| ! [X3] :
( ~ r2_hidden(X3,X2)
| X3 = k1_xboole_0 ) ) ),
inference(fof_nnf,[status(thm)],[4059]) ).
fof(15918,negated_conjecture,
? [X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X4)))
& ( k5_setfam_1(X4,X5) != k1_xboole_0
| ? [X6] :
( r2_hidden(X6,X5)
& X6 != k1_xboole_0 ) )
& ( k5_setfam_1(X4,X5) = k1_xboole_0
| ! [X7] :
( ~ r2_hidden(X7,X5)
| X7 = k1_xboole_0 ) ) ),
inference(variable_rename,[status(thm)],[15917]) ).
fof(15919,negated_conjecture,
( m1_subset_1(esk580_0,k1_zfmisc_1(k1_zfmisc_1(esk579_0)))
& ( k5_setfam_1(esk579_0,esk580_0) != k1_xboole_0
| ( r2_hidden(esk581_0,esk580_0)
& esk581_0 != k1_xboole_0 ) )
& ( k5_setfam_1(esk579_0,esk580_0) = k1_xboole_0
| ! [X7] :
( ~ r2_hidden(X7,esk580_0)
| X7 = k1_xboole_0 ) ) ),
inference(skolemize,[status(esa)],[15918]) ).
fof(15920,negated_conjecture,
! [X7] :
( ( ~ r2_hidden(X7,esk580_0)
| X7 = k1_xboole_0
| k5_setfam_1(esk579_0,esk580_0) = k1_xboole_0 )
& ( k5_setfam_1(esk579_0,esk580_0) != k1_xboole_0
| ( r2_hidden(esk581_0,esk580_0)
& esk581_0 != k1_xboole_0 ) )
& m1_subset_1(esk580_0,k1_zfmisc_1(k1_zfmisc_1(esk579_0))) ),
inference(shift_quantors,[status(thm)],[15919]) ).
fof(15921,negated_conjecture,
! [X7] :
( ( ~ r2_hidden(X7,esk580_0)
| X7 = k1_xboole_0
| k5_setfam_1(esk579_0,esk580_0) = k1_xboole_0 )
& ( r2_hidden(esk581_0,esk580_0)
| k5_setfam_1(esk579_0,esk580_0) != k1_xboole_0 )
& ( esk581_0 != k1_xboole_0
| k5_setfam_1(esk579_0,esk580_0) != k1_xboole_0 )
& m1_subset_1(esk580_0,k1_zfmisc_1(k1_zfmisc_1(esk579_0))) ),
inference(distribute,[status(thm)],[15920]) ).
cnf(15922,negated_conjecture,
m1_subset_1(esk580_0,k1_zfmisc_1(k1_zfmisc_1(esk579_0))),
inference(split_conjunct,[status(thm)],[15921]) ).
cnf(15923,negated_conjecture,
( k5_setfam_1(esk579_0,esk580_0) != k1_xboole_0
| esk581_0 != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[15921]) ).
cnf(15924,negated_conjecture,
( r2_hidden(esk581_0,esk580_0)
| k5_setfam_1(esk579_0,esk580_0) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[15921]) ).
cnf(15925,negated_conjecture,
( k5_setfam_1(esk579_0,esk580_0) = k1_xboole_0
| X1 = k1_xboole_0
| ~ r2_hidden(X1,esk580_0) ),
inference(split_conjunct,[status(thm)],[15921]) ).
cnf(16568,negated_conjecture,
m1_subset_1(esk580_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk579_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15922,10482,theory(equality)]),10482,theory(equality)]),
[unfolding] ).
cnf(16611,plain,
( k5_setfam_1(X1,X2) = k3_tarski(X2)
| ~ m1_subset_1(X2,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(X1))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10274,10482,theory(equality)]),10482,theory(equality)]),
[unfolding] ).
cnf(19040,negated_conjecture,
( k5_setfam_1(esk579_0,esk580_0) = k1_xboole_0
| k1_xboole_0 = esk374_1(esk580_0)
| k3_tarski(esk580_0) = k1_xboole_0 ),
inference(spm,[status(thm)],[15925,11879,theory(equality)]) ).
cnf(19527,negated_conjecture,
( k3_tarski(esk580_0) != k1_xboole_0
| esk581_0 != k1_xboole_0
| ~ m1_subset_1(esk580_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk579_0))))) ),
inference(spm,[status(thm)],[15923,16611,theory(equality)]) ).
cnf(19528,negated_conjecture,
( r2_hidden(esk581_0,esk580_0)
| k3_tarski(esk580_0) != k1_xboole_0
| ~ m1_subset_1(esk580_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk579_0))))) ),
inference(spm,[status(thm)],[15924,16611,theory(equality)]) ).
cnf(19530,negated_conjecture,
( k3_tarski(esk580_0) != k1_xboole_0
| esk581_0 != k1_xboole_0
| $false ),
inference(rw,[status(thm)],[19527,16568,theory(equality)]) ).
cnf(19531,negated_conjecture,
( k3_tarski(esk580_0) != k1_xboole_0
| esk581_0 != k1_xboole_0 ),
inference(cn,[status(thm)],[19530,theory(equality)]) ).
cnf(19532,negated_conjecture,
( r2_hidden(esk581_0,esk580_0)
| k3_tarski(esk580_0) != k1_xboole_0
| $false ),
inference(rw,[status(thm)],[19528,16568,theory(equality)]) ).
cnf(19533,negated_conjecture,
( r2_hidden(esk581_0,esk580_0)
| k3_tarski(esk580_0) != k1_xboole_0 ),
inference(cn,[status(thm)],[19532,theory(equality)]) ).
cnf(230489,negated_conjecture,
( k5_setfam_1(esk579_0,esk580_0) = k1_xboole_0
| k3_tarski(esk580_0) = k1_xboole_0 ),
inference(csr,[status(thm)],[19040,11880]) ).
cnf(230491,negated_conjecture,
( r2_hidden(esk581_0,esk580_0)
| k3_tarski(esk580_0) = k1_xboole_0 ),
inference(spm,[status(thm)],[15924,230489,theory(equality)]) ).
cnf(230505,negated_conjecture,
r2_hidden(esk581_0,esk580_0),
inference(csr,[status(thm)],[230491,19533]) ).
cnf(230511,negated_conjecture,
( k1_xboole_0 = esk581_0
| k3_tarski(esk580_0) != k1_xboole_0 ),
inference(spm,[status(thm)],[11881,230505,theory(equality)]) ).
cnf(230639,negated_conjecture,
k3_tarski(esk580_0) != k1_xboole_0,
inference(csr,[status(thm)],[230511,19531]) ).
cnf(230642,negated_conjecture,
k5_setfam_1(esk579_0,esk580_0) = k1_xboole_0,
inference(sr,[status(thm)],[230489,230639,theory(equality)]) ).
cnf(230645,negated_conjecture,
( k1_xboole_0 = k3_tarski(esk580_0)
| ~ m1_subset_1(esk580_0,u1_struct_0(k3_yellow_1(u1_struct_0(k3_yellow_1(esk579_0))))) ),
inference(spm,[status(thm)],[16611,230642,theory(equality)]) ).
cnf(230655,negated_conjecture,
( k1_xboole_0 = k3_tarski(esk580_0)
| $false ),
inference(rw,[status(thm)],[230645,16568,theory(equality)]) ).
cnf(230656,negated_conjecture,
k1_xboole_0 = k3_tarski(esk580_0),
inference(cn,[status(thm)],[230655,theory(equality)]) ).
cnf(230657,negated_conjecture,
$false,
inference(sr,[status(thm)],[230656,230639,theory(equality)]) ).
cnf(230658,negated_conjecture,
$false,
230657,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU430+3.p
% --creating new selector for [SET007+4.ax, SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+6.ax, SET007+5.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/tmpH5AOdc/sel_SEU430+3.p_1 with time limit 29
% -prover status Theorem
% Problem SEU430+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU430+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU430+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
%
%------------------------------------------------------------------------------