%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU290+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 06:52:47 EST 2010
% Result : Theorem 10.79s
% Output : CNFRefutation 10.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 89 ( 19 unt; 0 def)
% Number of atoms : 365 ( 98 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 438 ( 162 ~; 185 |; 69 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 158 ( 10 sgn 107 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(24,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_inverse_image(X2,X1),relation_dom(X2)) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',t167_relat_1) ).
fof(25,axiom,
! [X1] :
( relation(X1)
=> relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',t146_relat_1) ).
fof(29,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',redefinition_k4_relset_1) ).
fof(123,axiom,
! [X1,X2] :
( relation(X2)
=> ( subset(X1,relation_dom(X2))
=> subset(X1,relation_inverse_image(X2,relation_image(X2,X1))) ) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',t146_funct_1) ).
fof(127,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',cc1_relset_1) ).
fof(212,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) ) ) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',d13_funct_1) ).
fof(244,conjecture,
! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( in(X3,X1)
=> ( X2 = empty_set
| in(apply(X4,X3),relation_rng(X4)) ) ) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',t6_funct_2) ).
fof(293,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',d10_xboole_0) ).
fof(301,axiom,
! [X1,X2] : subset(X1,X1),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',reflexivity_r1_tarski) ).
fof(339,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( ( ( X2 = empty_set
=> X1 = empty_set )
=> ( quasi_total(X3,X1,X2)
<=> X1 = relation_dom_as_subset(X1,X2,X3) ) )
& ( X2 = empty_set
=> ( X1 = empty_set
| ( quasi_total(X3,X1,X2)
<=> X3 = empty_set ) ) ) ) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',d1_funct_2) ).
fof(354,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',dt_m2_relset_1) ).
fof(375,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/tmp/tmpKbQhmr/sel_SEU290+2.p_1',redefinition_m2_relset_1) ).
fof(384,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( in(X3,X1)
=> ( X2 = empty_set
| in(apply(X4,X3),relation_rng(X4)) ) ) ),
inference(assume_negation,[status(cth)],[244]) ).
fof(533,plain,
! [X1,X2] :
( ~ relation(X2)
| subset(relation_inverse_image(X2,X1),relation_dom(X2)) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(534,plain,
! [X3,X4] :
( ~ relation(X4)
| subset(relation_inverse_image(X4,X3),relation_dom(X4)) ),
inference(variable_rename,[status(thm)],[533]) ).
cnf(535,plain,
( subset(relation_inverse_image(X1,X2),relation_dom(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[534]) ).
fof(536,plain,
! [X1] :
( ~ relation(X1)
| relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(537,plain,
! [X2] :
( ~ relation(X2)
| relation_image(X2,relation_dom(X2)) = relation_rng(X2) ),
inference(variable_rename,[status(thm)],[536]) ).
cnf(538,plain,
( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[537]) ).
fof(551,plain,
! [X1,X2,X3] :
( ~ relation_of2(X3,X1,X2)
| relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(552,plain,
! [X4,X5,X6] :
( ~ relation_of2(X6,X4,X5)
| relation_dom_as_subset(X4,X5,X6) = relation_dom(X6) ),
inference(variable_rename,[status(thm)],[551]) ).
cnf(553,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[552]) ).
fof(1246,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ subset(X1,relation_dom(X2))
| subset(X1,relation_inverse_image(X2,relation_image(X2,X1))) ),
inference(fof_nnf,[status(thm)],[123]) ).
fof(1247,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ subset(X3,relation_dom(X4))
| subset(X3,relation_inverse_image(X4,relation_image(X4,X3))) ),
inference(variable_rename,[status(thm)],[1246]) ).
cnf(1248,plain,
( subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))
| ~ subset(X1,relation_dom(X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[1247]) ).
fof(1263,plain,
! [X1,X2,X3] :
( ~ element(X3,powerset(cartesian_product2(X1,X2)))
| relation(X3) ),
inference(fof_nnf,[status(thm)],[127]) ).
fof(1264,plain,
! [X4,X5,X6] :
( ~ element(X6,powerset(cartesian_product2(X4,X5)))
| relation(X6) ),
inference(variable_rename,[status(thm)],[1263]) ).
cnf(1265,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[1264]) ).
fof(1703,plain,
! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ! [X2,X3] :
( ( X3 != relation_inverse_image(X1,X2)
| ! [X4] :
( ( ~ in(X4,X3)
| ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) )
& ( ~ in(X4,relation_dom(X1))
| ~ in(apply(X1,X4),X2)
| in(X4,X3) ) ) )
& ( ? [X4] :
( ( ~ in(X4,X3)
| ~ in(X4,relation_dom(X1))
| ~ in(apply(X1,X4),X2) )
& ( in(X4,X3)
| ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) ) )
| X3 = relation_inverse_image(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[212]) ).
fof(1704,plain,
! [X5] :
( ~ relation(X5)
| ~ function(X5)
| ! [X6,X7] :
( ( X7 != relation_inverse_image(X5,X6)
| ! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,relation_dom(X5))
& in(apply(X5,X8),X6) ) )
& ( ~ in(X8,relation_dom(X5))
| ~ in(apply(X5,X8),X6)
| in(X8,X7) ) ) )
& ( ? [X9] :
( ( ~ in(X9,X7)
| ~ in(X9,relation_dom(X5))
| ~ in(apply(X5,X9),X6) )
& ( in(X9,X7)
| ( in(X9,relation_dom(X5))
& in(apply(X5,X9),X6) ) ) )
| X7 = relation_inverse_image(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[1703]) ).
fof(1705,plain,
! [X5] :
( ~ relation(X5)
| ~ function(X5)
| ! [X6,X7] :
( ( X7 != relation_inverse_image(X5,X6)
| ! [X8] :
( ( ~ in(X8,X7)
| ( in(X8,relation_dom(X5))
& in(apply(X5,X8),X6) ) )
& ( ~ in(X8,relation_dom(X5))
| ~ in(apply(X5,X8),X6)
| in(X8,X7) ) ) )
& ( ( ( ~ in(esk146_3(X5,X6,X7),X7)
| ~ in(esk146_3(X5,X6,X7),relation_dom(X5))
| ~ in(apply(X5,esk146_3(X5,X6,X7)),X6) )
& ( in(esk146_3(X5,X6,X7),X7)
| ( in(esk146_3(X5,X6,X7),relation_dom(X5))
& in(apply(X5,esk146_3(X5,X6,X7)),X6) ) ) )
| X7 = relation_inverse_image(X5,X6) ) ) ),
inference(skolemize,[status(esa)],[1704]) ).
fof(1706,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ in(X8,X7)
| ( in(X8,relation_dom(X5))
& in(apply(X5,X8),X6) ) )
& ( ~ in(X8,relation_dom(X5))
| ~ in(apply(X5,X8),X6)
| in(X8,X7) ) )
| X7 != relation_inverse_image(X5,X6) )
& ( ( ( ~ in(esk146_3(X5,X6,X7),X7)
| ~ in(esk146_3(X5,X6,X7),relation_dom(X5))
| ~ in(apply(X5,esk146_3(X5,X6,X7)),X6) )
& ( in(esk146_3(X5,X6,X7),X7)
| ( in(esk146_3(X5,X6,X7),relation_dom(X5))
& in(apply(X5,esk146_3(X5,X6,X7)),X6) ) ) )
| X7 = relation_inverse_image(X5,X6) ) )
| ~ relation(X5)
| ~ function(X5) ),
inference(shift_quantors,[status(thm)],[1705]) ).
fof(1707,plain,
! [X5,X6,X7,X8] :
( ( in(X8,relation_dom(X5))
| ~ in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(apply(X5,X8),X6)
| ~ in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X8,relation_dom(X5))
| ~ in(apply(X5,X8),X6)
| in(X8,X7)
| X7 != relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(esk146_3(X5,X6,X7),X7)
| ~ in(esk146_3(X5,X6,X7),relation_dom(X5))
| ~ in(apply(X5,esk146_3(X5,X6,X7)),X6)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk146_3(X5,X6,X7),relation_dom(X5))
| in(esk146_3(X5,X6,X7),X7)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) )
& ( in(apply(X5,esk146_3(X5,X6,X7)),X6)
| in(esk146_3(X5,X6,X7),X7)
| X7 = relation_inverse_image(X5,X6)
| ~ relation(X5)
| ~ function(X5) ) ),
inference(distribute,[status(thm)],[1706]) ).
cnf(1712,plain,
( in(apply(X1,X4),X3)
| ~ function(X1)
| ~ relation(X1)
| X2 != relation_inverse_image(X1,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[1707]) ).
fof(1848,negated_conjecture,
? [X1,X2,X3,X4] :
( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2)
& in(X3,X1)
& X2 != empty_set
& ~ in(apply(X4,X3),relation_rng(X4)) ),
inference(fof_nnf,[status(thm)],[384]) ).
fof(1849,negated_conjecture,
? [X5,X6,X7,X8] :
( function(X8)
& quasi_total(X8,X5,X6)
& relation_of2_as_subset(X8,X5,X6)
& in(X7,X5)
& X6 != empty_set
& ~ in(apply(X8,X7),relation_rng(X8)) ),
inference(variable_rename,[status(thm)],[1848]) ).
fof(1850,negated_conjecture,
( function(esk154_0)
& quasi_total(esk154_0,esk151_0,esk152_0)
& relation_of2_as_subset(esk154_0,esk151_0,esk152_0)
& in(esk153_0,esk151_0)
& esk152_0 != empty_set
& ~ in(apply(esk154_0,esk153_0),relation_rng(esk154_0)) ),
inference(skolemize,[status(esa)],[1849]) ).
cnf(1851,negated_conjecture,
~ in(apply(esk154_0,esk153_0),relation_rng(esk154_0)),
inference(split_conjunct,[status(thm)],[1850]) ).
cnf(1852,negated_conjecture,
esk152_0 != empty_set,
inference(split_conjunct,[status(thm)],[1850]) ).
cnf(1853,negated_conjecture,
in(esk153_0,esk151_0),
inference(split_conjunct,[status(thm)],[1850]) ).
cnf(1854,negated_conjecture,
relation_of2_as_subset(esk154_0,esk151_0,esk152_0),
inference(split_conjunct,[status(thm)],[1850]) ).
cnf(1855,negated_conjecture,
quasi_total(esk154_0,esk151_0,esk152_0),
inference(split_conjunct,[status(thm)],[1850]) ).
cnf(1856,negated_conjecture,
function(esk154_0),
inference(split_conjunct,[status(thm)],[1850]) ).
fof(2259,plain,
! [X1,X2] :
( ( X1 != X2
| ( subset(X1,X2)
& subset(X2,X1) ) )
& ( ~ subset(X1,X2)
| ~ subset(X2,X1)
| X1 = X2 ) ),
inference(fof_nnf,[status(thm)],[293]) ).
fof(2260,plain,
! [X3,X4] :
( ( X3 != X4
| ( subset(X3,X4)
& subset(X4,X3) ) )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(variable_rename,[status(thm)],[2259]) ).
fof(2261,plain,
! [X3,X4] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[2260]) ).
cnf(2262,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[2261]) ).
fof(2304,plain,
! [X3,X4] : subset(X3,X3),
inference(variable_rename,[status(thm)],[301]) ).
cnf(2305,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[2304]) ).
fof(2665,plain,
! [X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X1,X2)
| ( ( ( X2 = empty_set
& X1 != empty_set )
| ( ( ~ quasi_total(X3,X1,X2)
| X1 = relation_dom_as_subset(X1,X2,X3) )
& ( X1 != relation_dom_as_subset(X1,X2,X3)
| quasi_total(X3,X1,X2) ) ) )
& ( X2 != empty_set
| X1 = empty_set
| ( ( ~ quasi_total(X3,X1,X2)
| X3 = empty_set )
& ( X3 != empty_set
| quasi_total(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[339]) ).
fof(2666,plain,
! [X4,X5,X6] :
( ~ relation_of2_as_subset(X6,X4,X5)
| ( ( ( X5 = empty_set
& X4 != empty_set )
| ( ( ~ quasi_total(X6,X4,X5)
| X4 = relation_dom_as_subset(X4,X5,X6) )
& ( X4 != relation_dom_as_subset(X4,X5,X6)
| quasi_total(X6,X4,X5) ) ) )
& ( X5 != empty_set
| X4 = empty_set
| ( ( ~ quasi_total(X6,X4,X5)
| X6 = empty_set )
& ( X6 != empty_set
| quasi_total(X6,X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[2665]) ).
fof(2667,plain,
! [X4,X5,X6] :
( ( ~ quasi_total(X6,X4,X5)
| X4 = relation_dom_as_subset(X4,X5,X6)
| X5 = empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X4 != relation_dom_as_subset(X4,X5,X6)
| quasi_total(X6,X4,X5)
| X5 = empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( ~ quasi_total(X6,X4,X5)
| X4 = relation_dom_as_subset(X4,X5,X6)
| X4 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X4 != relation_dom_as_subset(X4,X5,X6)
| quasi_total(X6,X4,X5)
| X4 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( ~ quasi_total(X6,X4,X5)
| X6 = empty_set
| X4 = empty_set
| X5 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X6 != empty_set
| quasi_total(X6,X4,X5)
| X4 = empty_set
| X5 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[2666]) ).
cnf(2673,plain,
( X3 = empty_set
| X2 = relation_dom_as_subset(X2,X3,X1)
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ quasi_total(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[2667]) ).
fof(2737,plain,
! [X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X1,X2)
| element(X3,powerset(cartesian_product2(X1,X2))) ),
inference(fof_nnf,[status(thm)],[354]) ).
fof(2738,plain,
! [X4,X5,X6] :
( ~ relation_of2_as_subset(X6,X4,X5)
| element(X6,powerset(cartesian_product2(X4,X5))) ),
inference(variable_rename,[status(thm)],[2737]) ).
cnf(2739,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[2738]) ).
fof(2824,plain,
! [X1,X2,X3] :
( ( ~ relation_of2_as_subset(X3,X1,X2)
| relation_of2(X3,X1,X2) )
& ( ~ relation_of2(X3,X1,X2)
| relation_of2_as_subset(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[375]) ).
fof(2825,plain,
! [X4,X5,X6] :
( ( ~ relation_of2_as_subset(X6,X4,X5)
| relation_of2(X6,X4,X5) )
& ( ~ relation_of2(X6,X4,X5)
| relation_of2_as_subset(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[2824]) ).
cnf(2827,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[2825]) ).
cnf(4853,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[1265,2739,theory(equality)]) ).
cnf(6391,negated_conjecture,
( relation_dom_as_subset(esk151_0,esk152_0,esk154_0) = esk151_0
| empty_set = esk152_0
| ~ relation_of2_as_subset(esk154_0,esk151_0,esk152_0) ),
inference(spm,[status(thm)],[2673,1855,theory(equality)]) ).
cnf(6394,negated_conjecture,
( relation_dom_as_subset(esk151_0,esk152_0,esk154_0) = esk151_0
| empty_set = esk152_0
| $false ),
inference(rw,[status(thm)],[6391,1854,theory(equality)]) ).
cnf(6395,negated_conjecture,
( relation_dom_as_subset(esk151_0,esk152_0,esk154_0) = esk151_0
| empty_set = esk152_0 ),
inference(cn,[status(thm)],[6394,theory(equality)]) ).
cnf(6396,negated_conjecture,
relation_dom_as_subset(esk151_0,esk152_0,esk154_0) = esk151_0,
inference(sr,[status(thm)],[6395,1852,theory(equality)]) ).
cnf(76822,negated_conjecture,
( esk151_0 = relation_dom(esk154_0)
| ~ relation_of2(esk154_0,esk151_0,esk152_0) ),
inference(spm,[status(thm)],[553,6396,theory(equality)]) ).
cnf(87839,negated_conjecture,
relation(esk154_0),
inference(spm,[status(thm)],[4853,1854,theory(equality)]) ).
cnf(91355,negated_conjecture,
( relation_dom(esk154_0) = esk151_0
| ~ relation_of2_as_subset(esk154_0,esk151_0,esk152_0) ),
inference(spm,[status(thm)],[76822,2827,theory(equality)]) ).
cnf(91357,negated_conjecture,
( relation_dom(esk154_0) = esk151_0
| $false ),
inference(rw,[status(thm)],[91355,1854,theory(equality)]) ).
cnf(91358,negated_conjecture,
relation_dom(esk154_0) = esk151_0,
inference(cn,[status(thm)],[91357,theory(equality)]) ).
cnf(91363,negated_conjecture,
( relation_image(esk154_0,esk151_0) = relation_rng(esk154_0)
| ~ relation(esk154_0) ),
inference(spm,[status(thm)],[538,91358,theory(equality)]) ).
cnf(91364,negated_conjecture,
( subset(relation_inverse_image(esk154_0,X1),esk151_0)
| ~ relation(esk154_0) ),
inference(spm,[status(thm)],[535,91358,theory(equality)]) ).
cnf(91398,negated_conjecture,
( relation_image(esk154_0,esk151_0) = relation_rng(esk154_0)
| $false ),
inference(rw,[status(thm)],[91363,87839,theory(equality)]) ).
cnf(91399,negated_conjecture,
relation_image(esk154_0,esk151_0) = relation_rng(esk154_0),
inference(cn,[status(thm)],[91398,theory(equality)]) ).
cnf(91400,negated_conjecture,
( subset(relation_inverse_image(esk154_0,X1),esk151_0)
| $false ),
inference(rw,[status(thm)],[91364,87839,theory(equality)]) ).
cnf(91401,negated_conjecture,
subset(relation_inverse_image(esk154_0,X1),esk151_0),
inference(cn,[status(thm)],[91400,theory(equality)]) ).
cnf(91485,negated_conjecture,
( subset(esk151_0,relation_inverse_image(esk154_0,relation_rng(esk154_0)))
| ~ subset(esk151_0,relation_dom(esk154_0))
| ~ relation(esk154_0) ),
inference(spm,[status(thm)],[1248,91399,theory(equality)]) ).
cnf(91489,negated_conjecture,
( subset(esk151_0,relation_inverse_image(esk154_0,relation_rng(esk154_0)))
| $false
| ~ relation(esk154_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[91485,91358,theory(equality)]),2305,theory(equality)]) ).
cnf(91490,negated_conjecture,
( subset(esk151_0,relation_inverse_image(esk154_0,relation_rng(esk154_0)))
| $false
| $false ),
inference(rw,[status(thm)],[91489,87839,theory(equality)]) ).
cnf(91491,negated_conjecture,
subset(esk151_0,relation_inverse_image(esk154_0,relation_rng(esk154_0))),
inference(cn,[status(thm)],[91490,theory(equality)]) ).
cnf(102142,negated_conjecture,
( relation_inverse_image(esk154_0,relation_rng(esk154_0)) = esk151_0
| ~ subset(relation_inverse_image(esk154_0,relation_rng(esk154_0)),esk151_0) ),
inference(spm,[status(thm)],[2262,91491,theory(equality)]) ).
cnf(102159,negated_conjecture,
( relation_inverse_image(esk154_0,relation_rng(esk154_0)) = esk151_0
| $false ),
inference(rw,[status(thm)],[102142,91401,theory(equality)]) ).
cnf(102160,negated_conjecture,
relation_inverse_image(esk154_0,relation_rng(esk154_0)) = esk151_0,
inference(cn,[status(thm)],[102159,theory(equality)]) ).
cnf(102508,negated_conjecture,
( in(apply(esk154_0,X1),relation_rng(esk154_0))
| esk151_0 != X2
| ~ function(esk154_0)
| ~ in(X1,X2)
| ~ relation(esk154_0) ),
inference(spm,[status(thm)],[1712,102160,theory(equality)]) ).
cnf(102532,negated_conjecture,
( in(apply(esk154_0,X1),relation_rng(esk154_0))
| esk151_0 != X2
| $false
| ~ in(X1,X2)
| ~ relation(esk154_0) ),
inference(rw,[status(thm)],[102508,1856,theory(equality)]) ).
cnf(102533,negated_conjecture,
( in(apply(esk154_0,X1),relation_rng(esk154_0))
| esk151_0 != X2
| $false
| ~ in(X1,X2)
| $false ),
inference(rw,[status(thm)],[102532,87839,theory(equality)]) ).
cnf(102534,negated_conjecture,
( in(apply(esk154_0,X1),relation_rng(esk154_0))
| esk151_0 != X2
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[102533,theory(equality)]) ).
cnf(112659,negated_conjecture,
in(apply(esk154_0,esk153_0),relation_rng(esk154_0)),
inference(spm,[status(thm)],[102534,1853,theory(equality)]) ).
cnf(113011,negated_conjecture,
$false,
inference(sr,[status(thm)],[112659,1851,theory(equality)]) ).
cnf(113012,negated_conjecture,
$false,
113011,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU290+2.p
% --creating new selector for []
% -running prover on /tmp/tmpKbQhmr/sel_SEU290+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU290+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU290+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU290+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
%
%------------------------------------------------------------------------------