TSTP Solution File: SEU425+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU425+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 09:06:55 EST 2010
% Result : Theorem 0.34s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 81 ( 16 unt; 0 def)
% Number of atoms : 316 ( 100 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 403 ( 168 ~; 170 |; 46 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 151 ( 8 sgn 102 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',cc1_relset_1) ).
fof(7,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( v1_funct_1(k5_relset_2(X1,X3))
& v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3))) ) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',t21_relset_2) ).
fof(9,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',fc1_subset_1) ).
fof(10,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( X3 = k5_relset_2(X1,X2)
<=> ( k1_relat_1(X3) = k1_zfmisc_1(X1)
& ! [X4] :
( r1_tarski(X4,X1)
=> k1_funct_1(X3,X4) = k9_relat_1(X2,X4) ) ) ) ) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',d3_relset_2) ).
fof(11,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k4_relset_1(X1,X2,X3) = k1_relat_1(X3) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',redefinition_k4_relset_1) ).
fof(12,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',reflexivity_r1_tarski) ).
fof(13,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k2_relat_1(k5_relset_2(X1,X3)),k1_zfmisc_1(k2_relat_1(X3))) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',t20_relset_2) ).
fof(20,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',fc4_relat_1) ).
fof(21,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( v1_relat_1(k5_relset_2(X1,X2))
& v1_funct_1(k5_relset_2(X1,X2)) ) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',dt_k5_relset_2) ).
fof(24,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(k1_relat_1(X3),X1)
& r1_tarski(k2_relat_1(X3),X2) )
=> m2_relset_1(X3,X1,X2) ) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',t11_relset_1) ).
fof(26,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',redefinition_m2_relset_1) ).
fof(47,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( ( ( X2 = k1_xboole_0
=> X1 = k1_xboole_0 )
=> ( v1_funct_2(X3,X1,X2)
<=> X1 = k4_relset_1(X1,X2,X3) ) )
& ( X2 = k1_xboole_0
=> ( X1 = k1_xboole_0
| ( v1_funct_2(X3,X1,X2)
<=> X3 = k1_xboole_0 ) ) ) ) ),
file('/tmp/tmpEz3EJ3/sel_SEU425+1.p_1',d1_funct_2) ).
fof(50,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( v1_funct_1(k5_relset_2(X1,X3))
& v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3))) ) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(53,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(62,plain,
! [X1,X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(63,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| v1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[62]) ).
cnf(64,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(79,negated_conjecture,
? [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& ( ~ v1_funct_1(k5_relset_2(X1,X3))
| ~ v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
| ~ m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3))) ) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(80,negated_conjecture,
? [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
& ( ~ v1_funct_1(k5_relset_2(X4,X6))
| ~ v1_funct_2(k5_relset_2(X4,X6),k1_zfmisc_1(X4),k1_zfmisc_1(k2_relat_1(X6)))
| ~ m2_relset_1(k5_relset_2(X4,X6),k1_zfmisc_1(X4),k1_zfmisc_1(k2_relat_1(X6))) ) ),
inference(variable_rename,[status(thm)],[79]) ).
fof(81,negated_conjecture,
( m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk3_0,esk4_0)))
& ( ~ v1_funct_1(k5_relset_2(esk3_0,esk5_0))
| ~ v1_funct_2(k5_relset_2(esk3_0,esk5_0),k1_zfmisc_1(esk3_0),k1_zfmisc_1(k2_relat_1(esk5_0)))
| ~ m2_relset_1(k5_relset_2(esk3_0,esk5_0),k1_zfmisc_1(esk3_0),k1_zfmisc_1(k2_relat_1(esk5_0))) ) ),
inference(skolemize,[status(esa)],[80]) ).
cnf(82,negated_conjecture,
( ~ m2_relset_1(k5_relset_2(esk3_0,esk5_0),k1_zfmisc_1(esk3_0),k1_zfmisc_1(k2_relat_1(esk5_0)))
| ~ v1_funct_2(k5_relset_2(esk3_0,esk5_0),k1_zfmisc_1(esk3_0),k1_zfmisc_1(k2_relat_1(esk5_0)))
| ~ v1_funct_1(k5_relset_2(esk3_0,esk5_0)) ),
inference(split_conjunct,[status(thm)],[81]) ).
cnf(83,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk3_0,esk4_0))),
inference(split_conjunct,[status(thm)],[81]) ).
fof(90,plain,
! [X2] : ~ v1_xboole_0(k1_zfmisc_1(X2)),
inference(variable_rename,[status(thm)],[53]) ).
cnf(91,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[90]) ).
fof(92,plain,
! [X1,X2] :
( ~ v1_relat_1(X2)
| ! [X3] :
( ~ v1_relat_1(X3)
| ~ v1_funct_1(X3)
| ( ( X3 != k5_relset_2(X1,X2)
| ( k1_relat_1(X3) = k1_zfmisc_1(X1)
& ! [X4] :
( ~ r1_tarski(X4,X1)
| k1_funct_1(X3,X4) = k9_relat_1(X2,X4) ) ) )
& ( k1_relat_1(X3) != k1_zfmisc_1(X1)
| ? [X4] :
( r1_tarski(X4,X1)
& k1_funct_1(X3,X4) != k9_relat_1(X2,X4) )
| X3 = k5_relset_2(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(93,plain,
! [X5,X6] :
( ~ v1_relat_1(X6)
| ! [X7] :
( ~ v1_relat_1(X7)
| ~ v1_funct_1(X7)
| ( ( X7 != k5_relset_2(X5,X6)
| ( k1_relat_1(X7) = k1_zfmisc_1(X5)
& ! [X8] :
( ~ r1_tarski(X8,X5)
| k1_funct_1(X7,X8) = k9_relat_1(X6,X8) ) ) )
& ( k1_relat_1(X7) != k1_zfmisc_1(X5)
| ? [X9] :
( r1_tarski(X9,X5)
& k1_funct_1(X7,X9) != k9_relat_1(X6,X9) )
| X7 = k5_relset_2(X5,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[92]) ).
fof(94,plain,
! [X5,X6] :
( ~ v1_relat_1(X6)
| ! [X7] :
( ~ v1_relat_1(X7)
| ~ v1_funct_1(X7)
| ( ( X7 != k5_relset_2(X5,X6)
| ( k1_relat_1(X7) = k1_zfmisc_1(X5)
& ! [X8] :
( ~ r1_tarski(X8,X5)
| k1_funct_1(X7,X8) = k9_relat_1(X6,X8) ) ) )
& ( k1_relat_1(X7) != k1_zfmisc_1(X5)
| ( r1_tarski(esk7_3(X5,X6,X7),X5)
& k1_funct_1(X7,esk7_3(X5,X6,X7)) != k9_relat_1(X6,esk7_3(X5,X6,X7)) )
| X7 = k5_relset_2(X5,X6) ) ) ) ),
inference(skolemize,[status(esa)],[93]) ).
fof(95,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ r1_tarski(X8,X5)
| k1_funct_1(X7,X8) = k9_relat_1(X6,X8) )
& k1_relat_1(X7) = k1_zfmisc_1(X5) )
| X7 != k5_relset_2(X5,X6) )
& ( k1_relat_1(X7) != k1_zfmisc_1(X5)
| ( r1_tarski(esk7_3(X5,X6,X7),X5)
& k1_funct_1(X7,esk7_3(X5,X6,X7)) != k9_relat_1(X6,esk7_3(X5,X6,X7)) )
| X7 = k5_relset_2(X5,X6) ) )
| ~ v1_relat_1(X7)
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X6) ),
inference(shift_quantors,[status(thm)],[94]) ).
fof(96,plain,
! [X5,X6,X7,X8] :
( ( ~ r1_tarski(X8,X5)
| k1_funct_1(X7,X8) = k9_relat_1(X6,X8)
| X7 != k5_relset_2(X5,X6)
| ~ v1_relat_1(X7)
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X6) )
& ( k1_relat_1(X7) = k1_zfmisc_1(X5)
| X7 != k5_relset_2(X5,X6)
| ~ v1_relat_1(X7)
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X6) )
& ( r1_tarski(esk7_3(X5,X6,X7),X5)
| k1_relat_1(X7) != k1_zfmisc_1(X5)
| X7 = k5_relset_2(X5,X6)
| ~ v1_relat_1(X7)
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X6) )
& ( k1_funct_1(X7,esk7_3(X5,X6,X7)) != k9_relat_1(X6,esk7_3(X5,X6,X7))
| k1_relat_1(X7) != k1_zfmisc_1(X5)
| X7 = k5_relset_2(X5,X6)
| ~ v1_relat_1(X7)
| ~ v1_funct_1(X7)
| ~ v1_relat_1(X6) ) ),
inference(distribute,[status(thm)],[95]) ).
cnf(99,plain,
( k1_relat_1(X2) = k1_zfmisc_1(X3)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X2)
| X2 != k5_relset_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(101,plain,
! [X1,X2,X3] :
( ~ m1_relset_1(X3,X1,X2)
| k4_relset_1(X1,X2,X3) = k1_relat_1(X3) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(102,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| k4_relset_1(X4,X5,X6) = k1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[101]) ).
cnf(103,plain,
( k4_relset_1(X1,X2,X3) = k1_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(104,plain,
! [X3,X4] : r1_tarski(X3,X3),
inference(variable_rename,[status(thm)],[12]) ).
cnf(105,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[104]) ).
fof(106,plain,
! [X1,X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r1_tarski(k2_relat_1(k5_relset_2(X1,X3)),k1_zfmisc_1(k2_relat_1(X3))) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(107,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| r1_tarski(k2_relat_1(k5_relset_2(X4,X6)),k1_zfmisc_1(k2_relat_1(X6))) ),
inference(variable_rename,[status(thm)],[106]) ).
cnf(108,plain,
( r1_tarski(k2_relat_1(k5_relset_2(X1,X2)),k1_zfmisc_1(k2_relat_1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3))) ),
inference(split_conjunct,[status(thm)],[107]) ).
cnf(124,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[20]) ).
fof(125,plain,
! [X1,X2] :
( ~ v1_relat_1(X2)
| ( v1_relat_1(k5_relset_2(X1,X2))
& v1_funct_1(k5_relset_2(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(126,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| ( v1_relat_1(k5_relset_2(X3,X4))
& v1_funct_1(k5_relset_2(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[125]) ).
fof(127,plain,
! [X3,X4] :
( ( v1_relat_1(k5_relset_2(X3,X4))
| ~ v1_relat_1(X4) )
& ( v1_funct_1(k5_relset_2(X3,X4))
| ~ v1_relat_1(X4) ) ),
inference(distribute,[status(thm)],[126]) ).
cnf(128,plain,
( v1_funct_1(k5_relset_2(X2,X1))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(129,plain,
( v1_relat_1(k5_relset_2(X2,X1))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[127]) ).
fof(137,plain,
! [X1,X2,X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(k1_relat_1(X3),X1)
| ~ r1_tarski(k2_relat_1(X3),X2)
| m2_relset_1(X3,X1,X2) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(138,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X6)
| ~ r1_tarski(k1_relat_1(X6),X4)
| ~ r1_tarski(k2_relat_1(X6),X5)
| m2_relset_1(X6,X4,X5) ),
inference(variable_rename,[status(thm)],[137]) ).
cnf(139,plain,
( m2_relset_1(X1,X2,X3)
| ~ r1_tarski(k2_relat_1(X1),X3)
| ~ r1_tarski(k1_relat_1(X1),X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[138]) ).
fof(143,plain,
! [X1,X2,X3] :
( ( ~ m2_relset_1(X3,X1,X2)
| m1_relset_1(X3,X1,X2) )
& ( ~ m1_relset_1(X3,X1,X2)
| m2_relset_1(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(144,plain,
! [X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[143]) ).
cnf(146,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[144]) ).
fof(199,plain,
! [X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| ( ( ( X2 = k1_xboole_0
& X1 != k1_xboole_0 )
| ( ( ~ v1_funct_2(X3,X1,X2)
| X1 = k4_relset_1(X1,X2,X3) )
& ( X1 != k4_relset_1(X1,X2,X3)
| v1_funct_2(X3,X1,X2) ) ) )
& ( X2 != k1_xboole_0
| X1 = k1_xboole_0
| ( ( ~ v1_funct_2(X3,X1,X2)
| X3 = k1_xboole_0 )
& ( X3 != k1_xboole_0
| v1_funct_2(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(200,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| ( ( ( X5 = k1_xboole_0
& X4 != k1_xboole_0 )
| ( ( ~ v1_funct_2(X6,X4,X5)
| X4 = k4_relset_1(X4,X5,X6) )
& ( X4 != k4_relset_1(X4,X5,X6)
| v1_funct_2(X6,X4,X5) ) ) )
& ( X5 != k1_xboole_0
| X4 = k1_xboole_0
| ( ( ~ v1_funct_2(X6,X4,X5)
| X6 = k1_xboole_0 )
& ( X6 != k1_xboole_0
| v1_funct_2(X6,X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[199]) ).
fof(201,plain,
! [X4,X5,X6] :
( ( ~ v1_funct_2(X6,X4,X5)
| X4 = k4_relset_1(X4,X5,X6)
| X5 = k1_xboole_0
| ~ m2_relset_1(X6,X4,X5) )
& ( X4 != k4_relset_1(X4,X5,X6)
| v1_funct_2(X6,X4,X5)
| X5 = k1_xboole_0
| ~ m2_relset_1(X6,X4,X5) )
& ( ~ v1_funct_2(X6,X4,X5)
| X4 = k4_relset_1(X4,X5,X6)
| X4 != k1_xboole_0
| ~ m2_relset_1(X6,X4,X5) )
& ( X4 != k4_relset_1(X4,X5,X6)
| v1_funct_2(X6,X4,X5)
| X4 != k1_xboole_0
| ~ m2_relset_1(X6,X4,X5) )
& ( ~ v1_funct_2(X6,X4,X5)
| X6 = k1_xboole_0
| X4 = k1_xboole_0
| X5 != k1_xboole_0
| ~ m2_relset_1(X6,X4,X5) )
& ( X6 != k1_xboole_0
| v1_funct_2(X6,X4,X5)
| X4 = k1_xboole_0
| X5 != k1_xboole_0
| ~ m2_relset_1(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[200]) ).
cnf(206,plain,
( X3 = k1_xboole_0
| v1_funct_2(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3)
| X2 != k4_relset_1(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[201]) ).
cnf(227,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[64,83,theory(equality)]) ).
cnf(250,negated_conjecture,
r1_tarski(k2_relat_1(k5_relset_2(esk3_0,esk5_0)),k1_zfmisc_1(k2_relat_1(esk5_0))),
inference(spm,[status(thm)],[108,83,theory(equality)]) ).
cnf(260,plain,
( k1_relat_1(k5_relset_2(X1,X2)) = k1_zfmisc_1(X1)
| ~ v1_funct_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(er,[status(thm)],[99,theory(equality)]) ).
cnf(264,plain,
( k1_xboole_0 = X1
| v1_funct_2(X2,X3,X1)
| k1_relat_1(X2) != X3
| ~ m2_relset_1(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1) ),
inference(spm,[status(thm)],[206,103,theory(equality)]) ).
cnf(272,plain,
( m2_relset_1(X1,k1_relat_1(X1),X2)
| ~ r1_tarski(k2_relat_1(X1),X2)
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[139,105,theory(equality)]) ).
cnf(875,plain,
( k1_relat_1(k5_relset_2(X1,X2)) = k1_zfmisc_1(X1)
| ~ v1_funct_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(csr,[status(thm)],[260,129]) ).
cnf(876,plain,
( k1_relat_1(k5_relset_2(X1,X2)) = k1_zfmisc_1(X1)
| ~ v1_relat_1(X2) ),
inference(csr,[status(thm)],[875,128]) ).
cnf(1004,plain,
( k1_xboole_0 = X1
| v1_funct_2(X2,X3,X1)
| k1_relat_1(X2) != X3
| ~ m2_relset_1(X2,X3,X1) ),
inference(csr,[status(thm)],[264,146]) ).
cnf(1006,negated_conjecture,
( k1_xboole_0 = k1_zfmisc_1(k2_relat_1(esk5_0))
| ~ m2_relset_1(k5_relset_2(esk3_0,esk5_0),k1_zfmisc_1(esk3_0),k1_zfmisc_1(k2_relat_1(esk5_0)))
| ~ v1_funct_1(k5_relset_2(esk3_0,esk5_0))
| k1_relat_1(k5_relset_2(esk3_0,esk5_0)) != k1_zfmisc_1(esk3_0) ),
inference(spm,[status(thm)],[82,1004,theory(equality)]) ).
cnf(1156,negated_conjecture,
( m2_relset_1(k5_relset_2(esk3_0,esk5_0),k1_relat_1(k5_relset_2(esk3_0,esk5_0)),k1_zfmisc_1(k2_relat_1(esk5_0)))
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[272,250,theory(equality)]) ).
cnf(1329,negated_conjecture,
( m2_relset_1(k5_relset_2(esk3_0,esk5_0),k1_zfmisc_1(esk3_0),k1_zfmisc_1(k2_relat_1(esk5_0)))
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0))
| ~ v1_relat_1(esk5_0) ),
inference(spm,[status(thm)],[1156,876,theory(equality)]) ).
cnf(1333,negated_conjecture,
( m2_relset_1(k5_relset_2(esk3_0,esk5_0),k1_zfmisc_1(esk3_0),k1_zfmisc_1(k2_relat_1(esk5_0)))
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0))
| $false ),
inference(rw,[status(thm)],[1329,227,theory(equality)]) ).
cnf(1334,negated_conjecture,
( m2_relset_1(k5_relset_2(esk3_0,esk5_0),k1_zfmisc_1(esk3_0),k1_zfmisc_1(k2_relat_1(esk5_0)))
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0)) ),
inference(cn,[status(thm)],[1333,theory(equality)]) ).
cnf(2083,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk5_0)) = k1_xboole_0
| k1_relat_1(k5_relset_2(esk3_0,esk5_0)) != k1_zfmisc_1(esk3_0)
| ~ v1_funct_1(k5_relset_2(esk3_0,esk5_0))
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[1006,1334,theory(equality)]) ).
cnf(2085,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk5_0)) = k1_xboole_0
| k1_relat_1(k5_relset_2(esk3_0,esk5_0)) != k1_zfmisc_1(esk3_0)
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0))
| ~ v1_relat_1(esk5_0) ),
inference(spm,[status(thm)],[2083,128,theory(equality)]) ).
cnf(2086,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk5_0)) = k1_xboole_0
| k1_relat_1(k5_relset_2(esk3_0,esk5_0)) != k1_zfmisc_1(esk3_0)
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0))
| $false ),
inference(rw,[status(thm)],[2085,227,theory(equality)]) ).
cnf(2087,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk5_0)) = k1_xboole_0
| k1_relat_1(k5_relset_2(esk3_0,esk5_0)) != k1_zfmisc_1(esk3_0)
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0)) ),
inference(cn,[status(thm)],[2086,theory(equality)]) ).
cnf(2094,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk5_0)) = k1_xboole_0
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0))
| ~ v1_relat_1(esk5_0) ),
inference(spm,[status(thm)],[2087,876,theory(equality)]) ).
cnf(2097,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk5_0)) = k1_xboole_0
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0))
| $false ),
inference(rw,[status(thm)],[2094,227,theory(equality)]) ).
cnf(2098,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk5_0)) = k1_xboole_0
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0)) ),
inference(cn,[status(thm)],[2097,theory(equality)]) ).
cnf(2106,negated_conjecture,
( ~ v1_xboole_0(k1_xboole_0)
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[91,2098,theory(equality)]) ).
cnf(2155,negated_conjecture,
( $false
| ~ v1_relat_1(k5_relset_2(esk3_0,esk5_0)) ),
inference(rw,[status(thm)],[2106,124,theory(equality)]) ).
cnf(2156,negated_conjecture,
~ v1_relat_1(k5_relset_2(esk3_0,esk5_0)),
inference(cn,[status(thm)],[2155,theory(equality)]) ).
cnf(2159,negated_conjecture,
~ v1_relat_1(esk5_0),
inference(spm,[status(thm)],[2156,129,theory(equality)]) ).
cnf(2160,negated_conjecture,
$false,
inference(rw,[status(thm)],[2159,227,theory(equality)]) ).
cnf(2161,negated_conjecture,
$false,
inference(cn,[status(thm)],[2160,theory(equality)]) ).
cnf(2162,negated_conjecture,
$false,
2161,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU425+1.p
% --creating new selector for []
% -running prover on /tmp/tmpEz3EJ3/sel_SEU425+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU425+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU425+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU425+1.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
%
%------------------------------------------------------------------------------