%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU374+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 07:56:52 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 19 unt; 0 def)
% Number of atoms : 293 ( 32 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 379 ( 148 ~; 154 |; 46 &)
% ( 1 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 117 ( 0 sgn 73 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> net_str(X3,X1) ) ),
file('/tmp/tmps8tOyU/sel_SEU374+1.p_1',dt_m1_yellow_6) ).
fof(16,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( net_str(X3,X1)
=> ( subnetstr(X3,X1,X2)
<=> ( subrelstr(X3,X2)
& the_mapping(X1,X3) = relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3)) ) ) ) ) ),
file('/tmp/tmps8tOyU/sel_SEU374+1.p_1',d8_yellow_6) ).
fof(22,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( subrelstr(X2,X1)
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X5 = X3
& X6 = X4
& related(X2,X5,X6) )
=> related(X1,X3,X4) ) ) ) ) ) ) ),
file('/tmp/tmps8tOyU/sel_SEU374+1.p_1',t60_yellow_0) ).
fof(40,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X3))
=> ! [X7] :
( element(X7,the_carrier(X3))
=> ( ( X4 = X6
& X5 = X7
& related(X3,X6,X7) )
=> related(X2,X4,X5) ) ) ) ) ) ) ) ),
file('/tmp/tmps8tOyU/sel_SEU374+1.p_1',t20_yellow_6) ).
fof(41,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> rel_str(X2) ) ),
file('/tmp/tmps8tOyU/sel_SEU374+1.p_1',dt_l1_waybel_0) ).
fof(59,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X3))
=> ! [X7] :
( element(X7,the_carrier(X3))
=> ( ( X4 = X6
& X5 = X7
& related(X3,X6,X7) )
=> related(X2,X4,X5) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[40]) ).
fof(66,plain,
! [X1,X2] :
( ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ! [X3] :
( ~ subnetstr(X3,X1,X2)
| net_str(X3,X1) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(67,plain,
! [X4,X5] :
( ~ one_sorted_str(X4)
| ~ net_str(X5,X4)
| ! [X6] :
( ~ subnetstr(X6,X4,X5)
| net_str(X6,X4) ) ),
inference(variable_rename,[status(thm)],[66]) ).
fof(68,plain,
! [X4,X5,X6] :
( ~ subnetstr(X6,X4,X5)
| net_str(X6,X4)
| ~ one_sorted_str(X4)
| ~ net_str(X5,X4) ),
inference(shift_quantors,[status(thm)],[67]) ).
cnf(69,plain,
( net_str(X3,X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| ~ subnetstr(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(115,plain,
! [X1] :
( ~ one_sorted_str(X1)
| ! [X2] :
( ~ net_str(X2,X1)
| ! [X3] :
( ~ net_str(X3,X1)
| ( ( ~ subnetstr(X3,X1,X2)
| ( subrelstr(X3,X2)
& the_mapping(X1,X3) = relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3)) ) )
& ( ~ subrelstr(X3,X2)
| the_mapping(X1,X3) != relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))
| subnetstr(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(116,plain,
! [X4] :
( ~ one_sorted_str(X4)
| ! [X5] :
( ~ net_str(X5,X4)
| ! [X6] :
( ~ net_str(X6,X4)
| ( ( ~ subnetstr(X6,X4,X5)
| ( subrelstr(X6,X5)
& the_mapping(X4,X6) = relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6)) ) )
& ( ~ subrelstr(X6,X5)
| the_mapping(X4,X6) != relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))
| subnetstr(X6,X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[115]) ).
fof(117,plain,
! [X4,X5,X6] :
( ~ net_str(X6,X4)
| ( ( ~ subnetstr(X6,X4,X5)
| ( subrelstr(X6,X5)
& the_mapping(X4,X6) = relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6)) ) )
& ( ~ subrelstr(X6,X5)
| the_mapping(X4,X6) != relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))
| subnetstr(X6,X4,X5) ) )
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) ),
inference(shift_quantors,[status(thm)],[116]) ).
fof(118,plain,
! [X4,X5,X6] :
( ( subrelstr(X6,X5)
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) )
& ( the_mapping(X4,X6) = relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) )
& ( ~ subrelstr(X6,X5)
| the_mapping(X4,X6) != relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))
| subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) ) ),
inference(distribute,[status(thm)],[117]) ).
cnf(121,plain,
( subrelstr(X3,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[118]) ).
fof(141,plain,
! [X1] :
( ~ rel_str(X1)
| ! [X2] :
( ~ subrelstr(X2,X1)
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| ! [X4] :
( ~ element(X4,the_carrier(X1))
| ! [X5] :
( ~ element(X5,the_carrier(X2))
| ! [X6] :
( ~ element(X6,the_carrier(X2))
| X5 != X3
| X6 != X4
| ~ related(X2,X5,X6)
| related(X1,X3,X4) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(142,plain,
! [X7] :
( ~ rel_str(X7)
| ! [X8] :
( ~ subrelstr(X8,X7)
| ! [X9] :
( ~ element(X9,the_carrier(X7))
| ! [X10] :
( ~ element(X10,the_carrier(X7))
| ! [X11] :
( ~ element(X11,the_carrier(X8))
| ! [X12] :
( ~ element(X12,the_carrier(X8))
| X11 != X9
| X12 != X10
| ~ related(X8,X11,X12)
| related(X7,X9,X10) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[141]) ).
fof(143,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ element(X12,the_carrier(X8))
| X11 != X9
| X12 != X10
| ~ related(X8,X11,X12)
| related(X7,X9,X10)
| ~ element(X11,the_carrier(X8))
| ~ element(X10,the_carrier(X7))
| ~ element(X9,the_carrier(X7))
| ~ subrelstr(X8,X7)
| ~ rel_str(X7) ),
inference(shift_quantors,[status(thm)],[142]) ).
cnf(144,plain,
( related(X1,X3,X4)
| ~ rel_str(X1)
| ~ subrelstr(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X2))
| ~ related(X2,X5,X6)
| X6 != X4
| X5 != X3
| ~ element(X6,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[143]) ).
fof(198,negated_conjecture,
? [X1] :
( one_sorted_str(X1)
& ? [X2] :
( net_str(X2,X1)
& ? [X3] :
( subnetstr(X3,X1,X2)
& ? [X4] :
( element(X4,the_carrier(X2))
& ? [X5] :
( element(X5,the_carrier(X2))
& ? [X6] :
( element(X6,the_carrier(X3))
& ? [X7] :
( element(X7,the_carrier(X3))
& X4 = X6
& X5 = X7
& related(X3,X6,X7)
& ~ related(X2,X4,X5) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(199,negated_conjecture,
? [X8] :
( one_sorted_str(X8)
& ? [X9] :
( net_str(X9,X8)
& ? [X10] :
( subnetstr(X10,X8,X9)
& ? [X11] :
( element(X11,the_carrier(X9))
& ? [X12] :
( element(X12,the_carrier(X9))
& ? [X13] :
( element(X13,the_carrier(X10))
& ? [X14] :
( element(X14,the_carrier(X10))
& X11 = X13
& X12 = X14
& related(X10,X13,X14)
& ~ related(X9,X11,X12) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[198]) ).
fof(200,negated_conjecture,
( one_sorted_str(esk11_0)
& net_str(esk12_0,esk11_0)
& subnetstr(esk13_0,esk11_0,esk12_0)
& element(esk14_0,the_carrier(esk12_0))
& element(esk15_0,the_carrier(esk12_0))
& element(esk16_0,the_carrier(esk13_0))
& element(esk17_0,the_carrier(esk13_0))
& esk14_0 = esk16_0
& esk15_0 = esk17_0
& related(esk13_0,esk16_0,esk17_0)
& ~ related(esk12_0,esk14_0,esk15_0) ),
inference(skolemize,[status(esa)],[199]) ).
cnf(201,negated_conjecture,
~ related(esk12_0,esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(202,negated_conjecture,
related(esk13_0,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(203,negated_conjecture,
esk15_0 = esk17_0,
inference(split_conjunct,[status(thm)],[200]) ).
cnf(204,negated_conjecture,
esk14_0 = esk16_0,
inference(split_conjunct,[status(thm)],[200]) ).
cnf(205,negated_conjecture,
element(esk17_0,the_carrier(esk13_0)),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(206,negated_conjecture,
element(esk16_0,the_carrier(esk13_0)),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(207,negated_conjecture,
element(esk15_0,the_carrier(esk12_0)),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(208,negated_conjecture,
element(esk14_0,the_carrier(esk12_0)),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(209,negated_conjecture,
subnetstr(esk13_0,esk11_0,esk12_0),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(210,negated_conjecture,
net_str(esk12_0,esk11_0),
inference(split_conjunct,[status(thm)],[200]) ).
cnf(211,negated_conjecture,
one_sorted_str(esk11_0),
inference(split_conjunct,[status(thm)],[200]) ).
fof(212,plain,
! [X1] :
( ~ one_sorted_str(X1)
| ! [X2] :
( ~ net_str(X2,X1)
| rel_str(X2) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(213,plain,
! [X3] :
( ~ one_sorted_str(X3)
| ! [X4] :
( ~ net_str(X4,X3)
| rel_str(X4) ) ),
inference(variable_rename,[status(thm)],[212]) ).
fof(214,plain,
! [X3,X4] :
( ~ net_str(X4,X3)
| rel_str(X4)
| ~ one_sorted_str(X3) ),
inference(shift_quantors,[status(thm)],[213]) ).
cnf(215,plain,
( rel_str(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(272,negated_conjecture,
element(esk17_0,the_carrier(esk12_0)),
inference(rw,[status(thm)],[207,203,theory(equality)]) ).
cnf(274,negated_conjecture,
element(esk14_0,the_carrier(esk13_0)),
inference(rw,[status(thm)],[206,204,theory(equality)]) ).
cnf(275,negated_conjecture,
related(esk13_0,esk14_0,esk17_0),
inference(rw,[status(thm)],[202,204,theory(equality)]) ).
cnf(276,negated_conjecture,
~ related(esk12_0,esk14_0,esk17_0),
inference(rw,[status(thm)],[201,203,theory(equality)]) ).
cnf(282,negated_conjecture,
( rel_str(esk12_0)
| ~ one_sorted_str(esk11_0) ),
inference(spm,[status(thm)],[215,210,theory(equality)]) ).
cnf(284,negated_conjecture,
( rel_str(esk12_0)
| $false ),
inference(rw,[status(thm)],[282,211,theory(equality)]) ).
cnf(285,negated_conjecture,
rel_str(esk12_0),
inference(cn,[status(thm)],[284,theory(equality)]) ).
cnf(319,plain,
( subrelstr(X3,X2)
| ~ subnetstr(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[121,69]) ).
cnf(320,negated_conjecture,
( subrelstr(esk13_0,esk12_0)
| ~ net_str(esk12_0,esk11_0)
| ~ one_sorted_str(esk11_0) ),
inference(spm,[status(thm)],[319,209,theory(equality)]) ).
cnf(322,negated_conjecture,
( subrelstr(esk13_0,esk12_0)
| $false
| ~ one_sorted_str(esk11_0) ),
inference(rw,[status(thm)],[320,210,theory(equality)]) ).
cnf(323,negated_conjecture,
( subrelstr(esk13_0,esk12_0)
| $false
| $false ),
inference(rw,[status(thm)],[322,211,theory(equality)]) ).
cnf(324,negated_conjecture,
subrelstr(esk13_0,esk12_0),
inference(cn,[status(thm)],[323,theory(equality)]) ).
cnf(331,plain,
( related(X1,X2,X3)
| X2 != X4
| ~ related(X5,X4,X3)
| ~ element(X3,the_carrier(X5))
| ~ element(X4,the_carrier(X5))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ subrelstr(X5,X1)
| ~ rel_str(X1) ),
inference(er,[status(thm)],[144,theory(equality)]) ).
cnf(332,plain,
( related(X1,X2,X3)
| ~ related(X4,X2,X3)
| ~ element(X3,the_carrier(X4))
| ~ element(X2,the_carrier(X4))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ subrelstr(X4,X1)
| ~ rel_str(X1) ),
inference(er,[status(thm)],[331,theory(equality)]) ).
cnf(534,negated_conjecture,
( related(X1,esk14_0,esk17_0)
| ~ element(esk17_0,the_carrier(esk13_0))
| ~ element(esk14_0,the_carrier(esk13_0))
| ~ element(esk17_0,the_carrier(X1))
| ~ element(esk14_0,the_carrier(X1))
| ~ subrelstr(esk13_0,X1)
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[332,275,theory(equality)]) ).
cnf(535,negated_conjecture,
( related(X1,esk14_0,esk17_0)
| $false
| ~ element(esk14_0,the_carrier(esk13_0))
| ~ element(esk17_0,the_carrier(X1))
| ~ element(esk14_0,the_carrier(X1))
| ~ subrelstr(esk13_0,X1)
| ~ rel_str(X1) ),
inference(rw,[status(thm)],[534,205,theory(equality)]) ).
cnf(536,negated_conjecture,
( related(X1,esk14_0,esk17_0)
| $false
| $false
| ~ element(esk17_0,the_carrier(X1))
| ~ element(esk14_0,the_carrier(X1))
| ~ subrelstr(esk13_0,X1)
| ~ rel_str(X1) ),
inference(rw,[status(thm)],[535,274,theory(equality)]) ).
cnf(537,negated_conjecture,
( related(X1,esk14_0,esk17_0)
| ~ element(esk17_0,the_carrier(X1))
| ~ element(esk14_0,the_carrier(X1))
| ~ subrelstr(esk13_0,X1)
| ~ rel_str(X1) ),
inference(cn,[status(thm)],[536,theory(equality)]) ).
cnf(557,negated_conjecture,
( ~ element(esk17_0,the_carrier(esk12_0))
| ~ element(esk14_0,the_carrier(esk12_0))
| ~ subrelstr(esk13_0,esk12_0)
| ~ rel_str(esk12_0) ),
inference(spm,[status(thm)],[276,537,theory(equality)]) ).
cnf(559,negated_conjecture,
( $false
| ~ element(esk14_0,the_carrier(esk12_0))
| ~ subrelstr(esk13_0,esk12_0)
| ~ rel_str(esk12_0) ),
inference(rw,[status(thm)],[557,272,theory(equality)]) ).
cnf(560,negated_conjecture,
( $false
| $false
| ~ subrelstr(esk13_0,esk12_0)
| ~ rel_str(esk12_0) ),
inference(rw,[status(thm)],[559,208,theory(equality)]) ).
cnf(561,negated_conjecture,
( $false
| $false
| $false
| ~ rel_str(esk12_0) ),
inference(rw,[status(thm)],[560,324,theory(equality)]) ).
cnf(562,negated_conjecture,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[561,285,theory(equality)]) ).
cnf(563,negated_conjecture,
$false,
inference(cn,[status(thm)],[562,theory(equality)]) ).
cnf(564,negated_conjecture,
$false,
563,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU374+1.p
% --creating new selector for []
% -running prover on /tmp/tmps8tOyU/sel_SEU374+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU374+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU374+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU374+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
%
%------------------------------------------------------------------------------