TSTP Solution File: SEU220+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU220+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 05:47:26 EST 2010
% Result : Theorem 71.41s
% Output : CNFRefutation 71.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 7 unt; 0 def)
% Number of atoms : 485 ( 146 equ)
% Maximal formula atoms : 130 ( 8 avg)
% Number of connectives : 735 ( 309 ~; 323 |; 87 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 48 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(129,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(function_inverse(X1))
& function(function_inverse(X1)) ) ),
file('/tmp/tmprdWnz5/sel_SEU220+2.p_2',dt_k2_funct_1) ).
fof(152,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X2)
& in(X1,relation_rng(X2)) )
=> ( X1 = apply(X2,apply(function_inverse(X2),X1))
& X1 = apply(relation_composition(function_inverse(X2),X2),X1) ) ) ),
file('/tmp/tmprdWnz5/sel_SEU220+2.p_2',t57_funct_1) ).
fof(178,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(X2))
=> apply(relation_composition(X2,X3),X1) = apply(X3,apply(X2,X1)) ) ) ),
file('/tmp/tmprdWnz5/sel_SEU220+2.p_2',t23_funct_1) ).
fof(224,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X2 = function_inverse(X1)
<=> ( relation_dom(X2) = relation_rng(X1)
& ! [X3,X4] :
( ( ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) )
=> ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) )
& ( ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) )
=> ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) ) ) ) ) ) ) ) ),
file('/tmp/tmprdWnz5/sel_SEU220+2.p_2',t54_funct_1) ).
fof(226,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ( relation_rng(X1) = relation_dom(function_inverse(X1))
& relation_dom(X1) = relation_rng(function_inverse(X1)) ) ) ),
file('/tmp/tmprdWnz5/sel_SEU220+2.p_2',t55_funct_1) ).
fof(233,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X2)
& in(X1,relation_rng(X2)) )
=> ( X1 = apply(X2,apply(function_inverse(X2),X1))
& X1 = apply(relation_composition(function_inverse(X2),X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[152]) ).
fof(770,plain,
! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ( relation(function_inverse(X1))
& function(function_inverse(X1)) ) ),
inference(fof_nnf,[status(thm)],[129]) ).
fof(771,plain,
! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( relation(function_inverse(X2))
& function(function_inverse(X2)) ) ),
inference(variable_rename,[status(thm)],[770]) ).
fof(772,plain,
! [X2] :
( ( relation(function_inverse(X2))
| ~ relation(X2)
| ~ function(X2) )
& ( function(function_inverse(X2))
| ~ relation(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[771]) ).
cnf(773,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[772]) ).
cnf(774,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[772]) ).
fof(862,negated_conjecture,
? [X1,X2] :
( relation(X2)
& function(X2)
& one_to_one(X2)
& in(X1,relation_rng(X2))
& ( X1 != apply(X2,apply(function_inverse(X2),X1))
| X1 != apply(relation_composition(function_inverse(X2),X2),X1) ) ),
inference(fof_nnf,[status(thm)],[233]) ).
fof(863,negated_conjecture,
? [X3,X4] :
( relation(X4)
& function(X4)
& one_to_one(X4)
& in(X3,relation_rng(X4))
& ( X3 != apply(X4,apply(function_inverse(X4),X3))
| X3 != apply(relation_composition(function_inverse(X4),X4),X3) ) ),
inference(variable_rename,[status(thm)],[862]) ).
fof(864,negated_conjecture,
( relation(esk45_0)
& function(esk45_0)
& one_to_one(esk45_0)
& in(esk44_0,relation_rng(esk45_0))
& ( esk44_0 != apply(esk45_0,apply(function_inverse(esk45_0),esk44_0))
| esk44_0 != apply(relation_composition(function_inverse(esk45_0),esk45_0),esk44_0) ) ),
inference(skolemize,[status(esa)],[863]) ).
cnf(865,negated_conjecture,
( esk44_0 != apply(relation_composition(function_inverse(esk45_0),esk45_0),esk44_0)
| esk44_0 != apply(esk45_0,apply(function_inverse(esk45_0),esk44_0)) ),
inference(split_conjunct,[status(thm)],[864]) ).
cnf(866,negated_conjecture,
in(esk44_0,relation_rng(esk45_0)),
inference(split_conjunct,[status(thm)],[864]) ).
cnf(867,negated_conjecture,
one_to_one(esk45_0),
inference(split_conjunct,[status(thm)],[864]) ).
cnf(868,negated_conjecture,
function(esk45_0),
inference(split_conjunct,[status(thm)],[864]) ).
cnf(869,negated_conjecture,
relation(esk45_0),
inference(split_conjunct,[status(thm)],[864]) ).
fof(977,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(X2))
| apply(relation_composition(X2,X3),X1) = apply(X3,apply(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[178]) ).
fof(978,plain,
! [X4,X5] :
( ~ relation(X5)
| ~ function(X5)
| ! [X6] :
( ~ relation(X6)
| ~ function(X6)
| ~ in(X4,relation_dom(X5))
| apply(relation_composition(X5,X6),X4) = apply(X6,apply(X5,X4)) ) ),
inference(variable_rename,[status(thm)],[977]) ).
fof(979,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ~ in(X4,relation_dom(X5))
| apply(relation_composition(X5,X6),X4) = apply(X6,apply(X5,X4))
| ~ relation(X5)
| ~ function(X5) ),
inference(shift_quantors,[status(thm)],[978]) ).
cnf(980,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[979]) ).
fof(1170,plain,
! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( X2 != function_inverse(X1)
| ( relation_dom(X2) = relation_rng(X1)
& ! [X3,X4] :
( ( ~ in(X3,relation_rng(X1))
| X4 != apply(X2,X3)
| ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) )
& ( ~ in(X4,relation_dom(X1))
| X3 != apply(X1,X4)
| ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) ) ) ) ) )
& ( relation_dom(X2) != relation_rng(X1)
| ? [X3,X4] :
( ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3)
& ( ~ in(X4,relation_dom(X1))
| X3 != apply(X1,X4) ) )
| ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4)
& ( ~ in(X3,relation_rng(X1))
| X4 != apply(X2,X3) ) ) )
| X2 = function_inverse(X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[224]) ).
fof(1171,plain,
! [X5] :
( ~ relation(X5)
| ~ function(X5)
| ~ one_to_one(X5)
| ! [X6] :
( ~ relation(X6)
| ~ function(X6)
| ( ( X6 != function_inverse(X5)
| ( relation_dom(X6) = relation_rng(X5)
& ! [X7,X8] :
( ( ~ in(X7,relation_rng(X5))
| X8 != apply(X6,X7)
| ( in(X8,relation_dom(X5))
& X7 = apply(X5,X8) ) )
& ( ~ in(X8,relation_dom(X5))
| X7 != apply(X5,X8)
| ( in(X7,relation_rng(X5))
& X8 = apply(X6,X7) ) ) ) ) )
& ( relation_dom(X6) != relation_rng(X5)
| ? [X9,X10] :
( ( in(X9,relation_rng(X5))
& X10 = apply(X6,X9)
& ( ~ in(X10,relation_dom(X5))
| X9 != apply(X5,X10) ) )
| ( in(X10,relation_dom(X5))
& X9 = apply(X5,X10)
& ( ~ in(X9,relation_rng(X5))
| X10 != apply(X6,X9) ) ) )
| X6 = function_inverse(X5) ) ) ) ),
inference(variable_rename,[status(thm)],[1170]) ).
fof(1172,plain,
! [X5] :
( ~ relation(X5)
| ~ function(X5)
| ~ one_to_one(X5)
| ! [X6] :
( ~ relation(X6)
| ~ function(X6)
| ( ( X6 != function_inverse(X5)
| ( relation_dom(X6) = relation_rng(X5)
& ! [X7,X8] :
( ( ~ in(X7,relation_rng(X5))
| X8 != apply(X6,X7)
| ( in(X8,relation_dom(X5))
& X7 = apply(X5,X8) ) )
& ( ~ in(X8,relation_dom(X5))
| X7 != apply(X5,X8)
| ( in(X7,relation_rng(X5))
& X8 = apply(X6,X7) ) ) ) ) )
& ( relation_dom(X6) != relation_rng(X5)
| ( in(esk71_2(X5,X6),relation_rng(X5))
& esk72_2(X5,X6) = apply(X6,esk71_2(X5,X6))
& ( ~ in(esk72_2(X5,X6),relation_dom(X5))
| esk71_2(X5,X6) != apply(X5,esk72_2(X5,X6)) ) )
| ( in(esk72_2(X5,X6),relation_dom(X5))
& esk71_2(X5,X6) = apply(X5,esk72_2(X5,X6))
& ( ~ in(esk71_2(X5,X6),relation_rng(X5))
| esk72_2(X5,X6) != apply(X6,esk71_2(X5,X6)) ) )
| X6 = function_inverse(X5) ) ) ) ),
inference(skolemize,[status(esa)],[1171]) ).
fof(1173,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ in(X7,relation_rng(X5))
| X8 != apply(X6,X7)
| ( in(X8,relation_dom(X5))
& X7 = apply(X5,X8) ) )
& ( ~ in(X8,relation_dom(X5))
| X7 != apply(X5,X8)
| ( in(X7,relation_rng(X5))
& X8 = apply(X6,X7) ) )
& relation_dom(X6) = relation_rng(X5) )
| X6 != function_inverse(X5) )
& ( relation_dom(X6) != relation_rng(X5)
| ( in(esk71_2(X5,X6),relation_rng(X5))
& esk72_2(X5,X6) = apply(X6,esk71_2(X5,X6))
& ( ~ in(esk72_2(X5,X6),relation_dom(X5))
| esk71_2(X5,X6) != apply(X5,esk72_2(X5,X6)) ) )
| ( in(esk72_2(X5,X6),relation_dom(X5))
& esk71_2(X5,X6) = apply(X5,esk72_2(X5,X6))
& ( ~ in(esk71_2(X5,X6),relation_rng(X5))
| esk72_2(X5,X6) != apply(X6,esk71_2(X5,X6)) ) )
| X6 = function_inverse(X5) ) )
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) ),
inference(shift_quantors,[status(thm)],[1172]) ).
fof(1174,plain,
! [X5,X6,X7,X8] :
( ( in(X8,relation_dom(X5))
| ~ in(X7,relation_rng(X5))
| X8 != apply(X6,X7)
| X6 != function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( X7 = apply(X5,X8)
| ~ in(X7,relation_rng(X5))
| X8 != apply(X6,X7)
| X6 != function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( in(X7,relation_rng(X5))
| ~ in(X8,relation_dom(X5))
| X7 != apply(X5,X8)
| X6 != function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( X8 = apply(X6,X7)
| ~ in(X8,relation_dom(X5))
| X7 != apply(X5,X8)
| X6 != function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( relation_dom(X6) = relation_rng(X5)
| X6 != function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk72_2(X5,X6),relation_dom(X5))
| in(esk71_2(X5,X6),relation_rng(X5))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( esk71_2(X5,X6) = apply(X5,esk72_2(X5,X6))
| in(esk71_2(X5,X6),relation_rng(X5))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(esk71_2(X5,X6),relation_rng(X5))
| esk72_2(X5,X6) != apply(X6,esk71_2(X5,X6))
| in(esk71_2(X5,X6),relation_rng(X5))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk72_2(X5,X6),relation_dom(X5))
| esk72_2(X5,X6) = apply(X6,esk71_2(X5,X6))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( esk71_2(X5,X6) = apply(X5,esk72_2(X5,X6))
| esk72_2(X5,X6) = apply(X6,esk71_2(X5,X6))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(esk71_2(X5,X6),relation_rng(X5))
| esk72_2(X5,X6) != apply(X6,esk71_2(X5,X6))
| esk72_2(X5,X6) = apply(X6,esk71_2(X5,X6))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk72_2(X5,X6),relation_dom(X5))
| ~ in(esk72_2(X5,X6),relation_dom(X5))
| esk71_2(X5,X6) != apply(X5,esk72_2(X5,X6))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( esk71_2(X5,X6) = apply(X5,esk72_2(X5,X6))
| ~ in(esk72_2(X5,X6),relation_dom(X5))
| esk71_2(X5,X6) != apply(X5,esk72_2(X5,X6))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(esk71_2(X5,X6),relation_rng(X5))
| esk72_2(X5,X6) != apply(X6,esk71_2(X5,X6))
| ~ in(esk72_2(X5,X6),relation_dom(X5))
| esk71_2(X5,X6) != apply(X5,esk72_2(X5,X6))
| relation_dom(X6) != relation_rng(X5)
| X6 = function_inverse(X5)
| ~ relation(X6)
| ~ function(X6)
| ~ one_to_one(X5)
| ~ relation(X5)
| ~ function(X5) ) ),
inference(distribute,[status(thm)],[1173]) ).
cnf(1187,plain,
( X4 = apply(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ function(X2)
| ~ relation(X2)
| X2 != function_inverse(X1)
| X3 != apply(X2,X4)
| ~ in(X4,relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[1174]) ).
fof(1190,plain,
! [X1] :
( ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X1)
| ( relation_rng(X1) = relation_dom(function_inverse(X1))
& relation_dom(X1) = relation_rng(function_inverse(X1)) ) ),
inference(fof_nnf,[status(thm)],[226]) ).
fof(1191,plain,
! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ~ one_to_one(X2)
| ( relation_rng(X2) = relation_dom(function_inverse(X2))
& relation_dom(X2) = relation_rng(function_inverse(X2)) ) ),
inference(variable_rename,[status(thm)],[1190]) ).
fof(1192,plain,
! [X2] :
( ( relation_rng(X2) = relation_dom(function_inverse(X2))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) )
& ( relation_dom(X2) = relation_rng(function_inverse(X2))
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[1191]) ).
cnf(1194,plain,
( relation_rng(X1) = relation_dom(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
inference(split_conjunct,[status(thm)],[1192]) ).
cnf(3625,plain,
( apply(esk45_0,apply(function_inverse(esk45_0),esk44_0)) != esk44_0
| ~ function(esk45_0)
| ~ function(function_inverse(esk45_0))
| ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| ~ relation(esk45_0)
| ~ relation(function_inverse(esk45_0)) ),
inference(spm,[status(thm)],[865,980,theory(equality)]) ).
cnf(3631,plain,
( apply(esk45_0,apply(function_inverse(esk45_0),esk44_0)) != esk44_0
| $false
| ~ function(function_inverse(esk45_0))
| ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| ~ relation(esk45_0)
| ~ relation(function_inverse(esk45_0)) ),
inference(rw,[status(thm)],[3625,868,theory(equality)]) ).
cnf(3632,plain,
( apply(esk45_0,apply(function_inverse(esk45_0),esk44_0)) != esk44_0
| $false
| ~ function(function_inverse(esk45_0))
| ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| $false
| ~ relation(function_inverse(esk45_0)) ),
inference(rw,[status(thm)],[3631,869,theory(equality)]) ).
cnf(3633,plain,
( apply(esk45_0,apply(function_inverse(esk45_0),esk44_0)) != esk44_0
| ~ function(function_inverse(esk45_0))
| ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| ~ relation(function_inverse(esk45_0)) ),
inference(cn,[status(thm)],[3632,theory(equality)]) ).
cnf(3977,negated_conjecture,
( apply(esk45_0,X1) = esk44_0
| apply(X2,esk44_0) != X1
| function_inverse(esk45_0) != X2
| ~ one_to_one(esk45_0)
| ~ function(X2)
| ~ function(esk45_0)
| ~ relation(X2)
| ~ relation(esk45_0) ),
inference(spm,[status(thm)],[1187,866,theory(equality)]) ).
cnf(4015,negated_conjecture,
( apply(esk45_0,X1) = esk44_0
| apply(X2,esk44_0) != X1
| function_inverse(esk45_0) != X2
| $false
| ~ function(X2)
| ~ function(esk45_0)
| ~ relation(X2)
| ~ relation(esk45_0) ),
inference(rw,[status(thm)],[3977,867,theory(equality)]) ).
cnf(4016,negated_conjecture,
( apply(esk45_0,X1) = esk44_0
| apply(X2,esk44_0) != X1
| function_inverse(esk45_0) != X2
| $false
| ~ function(X2)
| $false
| ~ relation(X2)
| ~ relation(esk45_0) ),
inference(rw,[status(thm)],[4015,868,theory(equality)]) ).
cnf(4017,negated_conjecture,
( apply(esk45_0,X1) = esk44_0
| apply(X2,esk44_0) != X1
| function_inverse(esk45_0) != X2
| $false
| ~ function(X2)
| $false
| ~ relation(X2)
| $false ),
inference(rw,[status(thm)],[4016,869,theory(equality)]) ).
cnf(4018,negated_conjecture,
( apply(esk45_0,X1) = esk44_0
| apply(X2,esk44_0) != X1
| function_inverse(esk45_0) != X2
| ~ function(X2)
| ~ relation(X2) ),
inference(cn,[status(thm)],[4017,theory(equality)]) ).
cnf(412278,negated_conjecture,
( apply(esk45_0,apply(X1,esk44_0)) = esk44_0
| function_inverse(esk45_0) != X1
| ~ function(X1)
| ~ relation(X1) ),
inference(er,[status(thm)],[4018,theory(equality)]) ).
cnf(471889,negated_conjecture,
( ~ function(function_inverse(esk45_0))
| ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| ~ relation(function_inverse(esk45_0)) ),
inference(spm,[status(thm)],[3633,412278,theory(equality)]) ).
cnf(496412,negated_conjecture,
( ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| ~ relation(function_inverse(esk45_0))
| ~ function(esk45_0)
| ~ relation(esk45_0) ),
inference(spm,[status(thm)],[471889,773,theory(equality)]) ).
cnf(496434,negated_conjecture,
( ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| ~ relation(function_inverse(esk45_0))
| $false
| ~ relation(esk45_0) ),
inference(rw,[status(thm)],[496412,868,theory(equality)]) ).
cnf(496435,negated_conjecture,
( ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| ~ relation(function_inverse(esk45_0))
| $false
| $false ),
inference(rw,[status(thm)],[496434,869,theory(equality)]) ).
cnf(496436,negated_conjecture,
( ~ in(esk44_0,relation_dom(function_inverse(esk45_0)))
| ~ relation(function_inverse(esk45_0)) ),
inference(cn,[status(thm)],[496435,theory(equality)]) ).
cnf(497081,plain,
( ~ in(esk44_0,relation_rng(esk45_0))
| ~ relation(function_inverse(esk45_0))
| ~ one_to_one(esk45_0)
| ~ function(esk45_0)
| ~ relation(esk45_0) ),
inference(spm,[status(thm)],[496436,1194,theory(equality)]) ).
cnf(497113,plain,
( $false
| ~ relation(function_inverse(esk45_0))
| ~ one_to_one(esk45_0)
| ~ function(esk45_0)
| ~ relation(esk45_0) ),
inference(rw,[status(thm)],[497081,866,theory(equality)]) ).
cnf(497114,plain,
( $false
| ~ relation(function_inverse(esk45_0))
| $false
| ~ function(esk45_0)
| ~ relation(esk45_0) ),
inference(rw,[status(thm)],[497113,867,theory(equality)]) ).
cnf(497115,plain,
( $false
| ~ relation(function_inverse(esk45_0))
| $false
| $false
| ~ relation(esk45_0) ),
inference(rw,[status(thm)],[497114,868,theory(equality)]) ).
cnf(497116,plain,
( $false
| ~ relation(function_inverse(esk45_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[497115,869,theory(equality)]) ).
cnf(497117,plain,
~ relation(function_inverse(esk45_0)),
inference(cn,[status(thm)],[497116,theory(equality)]) ).
cnf(497133,plain,
( ~ function(esk45_0)
| ~ relation(esk45_0) ),
inference(spm,[status(thm)],[497117,774,theory(equality)]) ).
cnf(497151,plain,
( $false
| ~ relation(esk45_0) ),
inference(rw,[status(thm)],[497133,868,theory(equality)]) ).
cnf(497152,plain,
( $false
| $false ),
inference(rw,[status(thm)],[497151,869,theory(equality)]) ).
cnf(497153,plain,
$false,
inference(cn,[status(thm)],[497152,theory(equality)]) ).
cnf(497154,plain,
$false,
497153,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU220+2.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmprdWnz5/sel_SEU220+2.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmprdWnz5/sel_SEU220+2.p_2 with time limit 80
% -prover status Theorem
% Problem SEU220+2.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU220+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU220+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
%
%------------------------------------------------------------------------------