%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU438+2 : 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 : Sun Dec 26 09:33:52 EST 2010
% Result : Theorem 14.08s
% Output : CNFRefutation 14.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of formulae : 78 ( 19 unt; 0 def)
% Number of atoms : 259 ( 8 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 346 ( 165 ~; 153 |; 13 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 137 ( 6 sgn 90 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(336,axiom,
! [X1,X2,X3] :
( r1_tarski(X1,X2)
=> r1_tarski(X1,k2_xboole_0(X3,X2)) ),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',t10_xboole_1) ).
fof(404,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',redefinition_k4_subset_1) ).
fof(549,axiom,
! [X1,X2] : k3_tarski(k2_tarski(X1,X2)) = k2_xboole_0(X1,X2),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',t93_zfmisc_1) ).
fof(935,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',reflexivity_r1_tarski) ).
fof(1354,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',dt_k4_subset_1) ).
fof(1489,axiom,
! [X1,X2] : r1_tarski(X1,k2_xboole_0(X1,X2)),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',t7_xboole_1) ).
fof(1920,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X3,X2) )
=> r1_tarski(k2_xboole_0(X1,X3),X2) ),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',t8_xboole_1) ).
fof(2126,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( r1_tarski(X4,X5)
=> r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',t40_relset_2) ).
fof(2144,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',dt_k8_relset_2) ).
fof(2162,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X3,X5)),k8_relset_2(X1,X2,X3,k4_subset_1(k2_zfmisc_1(X1,X2),X4,X5))) ) ) ),
file('/tmp/tmpe7yI0o/sel_SEU438+2.p_1',t41_relset_2) ).
fof(2168,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X3,X5)),k8_relset_2(X1,X2,X3,k4_subset_1(k2_zfmisc_1(X1,X2),X4,X5))) ) ) ),
inference(assume_negation,[status(cth)],[2162]) ).
fof(3388,plain,
! [X1,X2,X3] :
( ~ r1_tarski(X1,X2)
| r1_tarski(X1,k2_xboole_0(X3,X2)) ),
inference(fof_nnf,[status(thm)],[336]) ).
fof(3389,plain,
! [X4,X5,X6] :
( ~ r1_tarski(X4,X5)
| r1_tarski(X4,k2_xboole_0(X6,X5)) ),
inference(variable_rename,[status(thm)],[3388]) ).
cnf(3390,plain,
( r1_tarski(X1,k2_xboole_0(X2,X3))
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[3389]) ).
fof(3667,plain,
! [X1,X2,X3] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
inference(fof_nnf,[status(thm)],[404]) ).
fof(3668,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k4_subset_1(X4,X5,X6) = k2_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[3667]) ).
cnf(3669,plain,
( k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[3668]) ).
fof(4205,plain,
! [X3,X4] : k3_tarski(k2_tarski(X3,X4)) = k2_xboole_0(X3,X4),
inference(variable_rename,[status(thm)],[549]) ).
cnf(4206,plain,
k3_tarski(k2_tarski(X1,X2)) = k2_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[4205]) ).
fof(5351,plain,
! [X3,X4] : r1_tarski(X3,X3),
inference(variable_rename,[status(thm)],[935]) ).
cnf(5352,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[5351]) ).
fof(6558,plain,
! [X1,X2,X3] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(fof_nnf,[status(thm)],[1354]) ).
fof(6559,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| m1_subset_1(k4_subset_1(X4,X5,X6),k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[6558]) ).
cnf(6560,plain,
( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[6559]) ).
fof(6978,plain,
! [X3,X4] : r1_tarski(X3,k2_xboole_0(X3,X4)),
inference(variable_rename,[status(thm)],[1489]) ).
cnf(6979,plain,
r1_tarski(X1,k2_xboole_0(X1,X2)),
inference(split_conjunct,[status(thm)],[6978]) ).
fof(8262,plain,
! [X1,X2,X3] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| r1_tarski(k2_xboole_0(X1,X3),X2) ),
inference(fof_nnf,[status(thm)],[1920]) ).
fof(8263,plain,
! [X4,X5,X6] :
( ~ r1_tarski(X4,X5)
| ~ r1_tarski(X6,X5)
| r1_tarski(k2_xboole_0(X4,X6),X5) ),
inference(variable_rename,[status(thm)],[8262]) ).
cnf(8264,plain,
( r1_tarski(k2_xboole_0(X1,X2),X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[8263]) ).
fof(8917,plain,
! [X1,X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r1_tarski(X4,X5)
| r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X3,X5)) ) ) ),
inference(fof_nnf,[status(thm)],[2126]) ).
fof(8918,plain,
! [X6,X7,X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(X6))
| ! [X9] :
( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ! [X10] :
( ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ r1_tarski(X9,X10)
| r1_tarski(k8_relset_2(X6,X7,X8,X9),k8_relset_2(X6,X7,X8,X10)) ) ) ),
inference(variable_rename,[status(thm)],[8917]) ).
fof(8919,plain,
! [X6,X7,X8,X9,X10] :
( ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ r1_tarski(X9,X10)
| r1_tarski(k8_relset_2(X6,X7,X8,X9),k8_relset_2(X6,X7,X8,X10))
| ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ m1_subset_1(X8,k1_zfmisc_1(X6)) ),
inference(shift_quantors,[status(thm)],[8918]) ).
cnf(8920,plain,
( r1_tarski(k8_relset_2(X2,X4,X1,X3),k8_relset_2(X2,X4,X1,X5))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ r1_tarski(X3,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[8919]) ).
fof(8995,plain,
! [X1,X2,X3,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
inference(fof_nnf,[status(thm)],[2144]) ).
fof(8996,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| m1_subset_1(k8_relset_2(X5,X6,X7,X8),k1_zfmisc_1(X6)) ),
inference(variable_rename,[status(thm)],[8995]) ).
cnf(8997,plain,
( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[8996]) ).
fof(9063,negated_conjecture,
? [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& ~ r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X3,X5)),k8_relset_2(X1,X2,X3,k4_subset_1(k2_zfmisc_1(X1,X2),X4,X5))) ) ) ),
inference(fof_nnf,[status(thm)],[2168]) ).
fof(9064,negated_conjecture,
? [X6,X7,X8] :
( m1_subset_1(X8,k1_zfmisc_1(X6))
& ? [X9] :
( m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
& ? [X10] :
( m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
& ~ r1_tarski(k4_subset_1(X7,k8_relset_2(X6,X7,X8,X9),k8_relset_2(X6,X7,X8,X10)),k8_relset_2(X6,X7,X8,k4_subset_1(k2_zfmisc_1(X6,X7),X9,X10))) ) ) ),
inference(variable_rename,[status(thm)],[9063]) ).
fof(9065,negated_conjecture,
( m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0))
& m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
& m1_subset_1(esk345_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
& ~ r1_tarski(k4_subset_1(esk342_0,k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0)),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))) ),
inference(skolemize,[status(esa)],[9064]) ).
cnf(9066,negated_conjecture,
~ r1_tarski(k4_subset_1(esk342_0,k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0)),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))),
inference(split_conjunct,[status(thm)],[9065]) ).
cnf(9067,negated_conjecture,
m1_subset_1(esk345_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0))),
inference(split_conjunct,[status(thm)],[9065]) ).
cnf(9068,negated_conjecture,
m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0))),
inference(split_conjunct,[status(thm)],[9065]) ).
cnf(9069,negated_conjecture,
m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)),
inference(split_conjunct,[status(thm)],[9065]) ).
cnf(9214,plain,
r1_tarski(X1,k3_tarski(k2_tarski(X1,X2))),
inference(rw,[status(thm)],[6979,4206,theory(equality)]),
[unfolding] ).
cnf(9267,plain,
( r1_tarski(X1,k3_tarski(k2_tarski(X2,X3)))
| ~ r1_tarski(X1,X3) ),
inference(rw,[status(thm)],[3390,4206,theory(equality)]),
[unfolding] ).
cnf(9305,plain,
( r1_tarski(k3_tarski(k2_tarski(X1,X2)),X3)
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3) ),
inference(rw,[status(thm)],[8264,4206,theory(equality)]),
[unfolding] ).
cnf(9313,plain,
( k4_subset_1(X1,X2,X3) = k3_tarski(k2_tarski(X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(rw,[status(thm)],[3669,4206,theory(equality)]),
[unfolding] ).
cnf(20256,negated_conjecture,
( ~ r1_tarski(k3_tarski(k2_tarski(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0))),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0)) ),
inference(spm,[status(thm)],[9066,9313,theory(equality)]) ).
cnf(86069,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0)))
| ~ r1_tarski(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))) ),
inference(spm,[status(thm)],[20256,9305,theory(equality)]) ).
cnf(86465,negated_conjecture,
( ~ r1_tarski(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0),k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(esk345_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)) ),
inference(spm,[status(thm)],[86069,8920,theory(equality)]) ).
cnf(86494,negated_conjecture,
( ~ r1_tarski(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0),k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| $false
| ~ m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)) ),
inference(rw,[status(thm)],[86465,9067,theory(equality)]) ).
cnf(86495,negated_conjecture,
( ~ r1_tarski(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0),k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| $false
| $false ),
inference(rw,[status(thm)],[86494,9069,theory(equality)]) ).
cnf(86496,negated_conjecture,
( ~ r1_tarski(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k8_relset_2(esk341_0,esk342_0,esk343_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0),k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0))) ),
inference(cn,[status(thm)],[86495,theory(equality)]) ).
cnf(87146,negated_conjecture,
( ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0),k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(esk344_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)) ),
inference(spm,[status(thm)],[86496,8920,theory(equality)]) ).
cnf(87177,negated_conjecture,
( ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0),k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(esk344_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| $false
| ~ m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)) ),
inference(rw,[status(thm)],[87146,9068,theory(equality)]) ).
cnf(87178,negated_conjecture,
( ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0),k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(esk344_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| $false
| $false ),
inference(rw,[status(thm)],[87177,9069,theory(equality)]) ).
cnf(87179,negated_conjecture,
( ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0),k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ r1_tarski(esk344_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0)) ),
inference(cn,[status(thm)],[87178,theory(equality)]) ).
cnf(87190,negated_conjecture,
( ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ r1_tarski(esk344_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(esk345_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0))) ),
inference(spm,[status(thm)],[87179,6560,theory(equality)]) ).
cnf(87198,negated_conjecture,
( ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ r1_tarski(esk344_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| $false
| ~ m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0))) ),
inference(rw,[status(thm)],[87190,9067,theory(equality)]) ).
cnf(87199,negated_conjecture,
( ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ r1_tarski(esk344_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| $false
| $false ),
inference(rw,[status(thm)],[87198,9068,theory(equality)]) ).
cnf(87200,negated_conjecture,
( ~ r1_tarski(esk345_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ r1_tarski(esk344_0,k4_subset_1(k2_zfmisc_1(esk341_0,esk342_0),esk344_0,esk345_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0)) ),
inference(cn,[status(thm)],[87199,theory(equality)]) ).
cnf(87215,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| ~ r1_tarski(esk344_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(esk345_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0))) ),
inference(spm,[status(thm)],[87200,9313,theory(equality)]) ).
cnf(87220,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| $false
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(esk345_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0))) ),
inference(rw,[status(thm)],[87215,9214,theory(equality)]) ).
cnf(87221,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| $false
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| $false
| ~ m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0))) ),
inference(rw,[status(thm)],[87220,9067,theory(equality)]) ).
cnf(87222,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| $false
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| $false
| $false ),
inference(rw,[status(thm)],[87221,9068,theory(equality)]) ).
cnf(87223,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk345_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0)) ),
inference(cn,[status(thm)],[87222,theory(equality)]) ).
cnf(87508,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| ~ m1_subset_1(esk345_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)) ),
inference(spm,[status(thm)],[87223,8997,theory(equality)]) ).
cnf(87514,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| $false
| ~ m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)) ),
inference(rw,[status(thm)],[87508,9067,theory(equality)]) ).
cnf(87515,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0))
| $false
| $false ),
inference(rw,[status(thm)],[87514,9069,theory(equality)]) ).
cnf(87516,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| ~ m1_subset_1(k8_relset_2(esk341_0,esk342_0,esk343_0,esk344_0),k1_zfmisc_1(esk342_0)) ),
inference(cn,[status(thm)],[87515,theory(equality)]) ).
cnf(87536,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| ~ m1_subset_1(esk344_0,k1_zfmisc_1(k2_zfmisc_1(esk341_0,esk342_0)))
| ~ m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)) ),
inference(spm,[status(thm)],[87516,8997,theory(equality)]) ).
cnf(87542,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| $false
| ~ m1_subset_1(esk343_0,k1_zfmisc_1(esk341_0)) ),
inference(rw,[status(thm)],[87536,9068,theory(equality)]) ).
cnf(87543,negated_conjecture,
( ~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0)))
| $false
| $false ),
inference(rw,[status(thm)],[87542,9069,theory(equality)]) ).
cnf(87544,negated_conjecture,
~ r1_tarski(esk345_0,k3_tarski(k2_tarski(esk344_0,esk345_0))),
inference(cn,[status(thm)],[87543,theory(equality)]) ).
cnf(87579,negated_conjecture,
~ r1_tarski(esk345_0,esk345_0),
inference(spm,[status(thm)],[87544,9267,theory(equality)]) ).
cnf(87586,negated_conjecture,
$false,
inference(rw,[status(thm)],[87579,5352,theory(equality)]) ).
cnf(87587,negated_conjecture,
$false,
inference(cn,[status(thm)],[87586,theory(equality)]) ).
cnf(87588,negated_conjecture,
$false,
87587,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU438+2.p
% --creating new selector for [SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+4.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+24.ax, SET007+26.ax, SET007+31.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+61.ax, SET007+64.ax, SET007+80.ax, SET007+117.ax, SET007+126.ax, SET007+188.ax, SET007+200.ax, SET007+210.ax, SET007+212.ax, SET007+213.ax, SET007+225.ax, SET007+363.ax, SET007+393.ax, SET007+441.ax]
% -running prover on /tmp/tmpe7yI0o/sel_SEU438+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU438+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU438+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU438+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
%
%------------------------------------------------------------------------------