%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU373+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 07:55:32 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 9 unt; 0 def)
% Number of atoms : 203 ( 9 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 262 ( 109 ~; 106 |; 28 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 82 ( 0 sgn 59 !; 6 ?)
% 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/tmplhY3F1/sel_SEU373+1.p_1',dt_m1_yellow_6) ).
fof(5,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( subrelstr(X2,X1)
=> rel_str(X2) ) ),
file('/tmp/tmplhY3F1/sel_SEU373+1.p_1',dt_m1_yellow_0) ).
fof(17,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/tmplhY3F1/sel_SEU373+1.p_1',d8_yellow_6) ).
fof(41,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> rel_str(X2) ) ),
file('/tmp/tmplhY3F1/sel_SEU373+1.p_1',dt_l1_waybel_0) ).
fof(46,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> subset(the_carrier(X3),the_carrier(X2)) ) ) ),
file('/tmp/tmplhY3F1/sel_SEU373+1.p_1',t19_yellow_6) ).
fof(54,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( rel_str(X2)
=> ( subrelstr(X2,X1)
<=> ( subset(the_carrier(X2),the_carrier(X1))
& subset(the_InternalRel(X2),the_InternalRel(X1)) ) ) ) ),
file('/tmp/tmplhY3F1/sel_SEU373+1.p_1',d13_yellow_0) ).
fof(60,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> subset(the_carrier(X3),the_carrier(X2)) ) ) ),
inference(assume_negation,[status(cth)],[46]) ).
fof(67,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(68,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)],[67]) ).
fof(69,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)],[68]) ).
cnf(70,plain,
( net_str(X3,X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| ~ subnetstr(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(80,plain,
! [X1] :
( ~ rel_str(X1)
| ! [X2] :
( ~ subrelstr(X2,X1)
| rel_str(X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(81,plain,
! [X3] :
( ~ rel_str(X3)
| ! [X4] :
( ~ subrelstr(X4,X3)
| rel_str(X4) ) ),
inference(variable_rename,[status(thm)],[80]) ).
fof(82,plain,
! [X3,X4] :
( ~ subrelstr(X4,X3)
| rel_str(X4)
| ~ rel_str(X3) ),
inference(shift_quantors,[status(thm)],[81]) ).
cnf(83,plain,
( rel_str(X2)
| ~ rel_str(X1)
| ~ subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(119,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)],[17]) ).
fof(120,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)],[119]) ).
fof(121,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)],[120]) ).
fof(122,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)],[121]) ).
cnf(125,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)],[122]) ).
fof(201,plain,
! [X1] :
( ~ one_sorted_str(X1)
| ! [X2] :
( ~ net_str(X2,X1)
| rel_str(X2) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(202,plain,
! [X3] :
( ~ one_sorted_str(X3)
| ! [X4] :
( ~ net_str(X4,X3)
| rel_str(X4) ) ),
inference(variable_rename,[status(thm)],[201]) ).
fof(203,plain,
! [X3,X4] :
( ~ net_str(X4,X3)
| rel_str(X4)
| ~ one_sorted_str(X3) ),
inference(shift_quantors,[status(thm)],[202]) ).
cnf(204,plain,
( rel_str(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[203]) ).
fof(220,negated_conjecture,
? [X1] :
( one_sorted_str(X1)
& ? [X2] :
( net_str(X2,X1)
& ? [X3] :
( subnetstr(X3,X1,X2)
& ~ subset(the_carrier(X3),the_carrier(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(221,negated_conjecture,
? [X4] :
( one_sorted_str(X4)
& ? [X5] :
( net_str(X5,X4)
& ? [X6] :
( subnetstr(X6,X4,X5)
& ~ subset(the_carrier(X6),the_carrier(X5)) ) ) ),
inference(variable_rename,[status(thm)],[220]) ).
fof(222,negated_conjecture,
( one_sorted_str(esk12_0)
& net_str(esk13_0,esk12_0)
& subnetstr(esk14_0,esk12_0,esk13_0)
& ~ subset(the_carrier(esk14_0),the_carrier(esk13_0)) ),
inference(skolemize,[status(esa)],[221]) ).
cnf(223,negated_conjecture,
~ subset(the_carrier(esk14_0),the_carrier(esk13_0)),
inference(split_conjunct,[status(thm)],[222]) ).
cnf(224,negated_conjecture,
subnetstr(esk14_0,esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[222]) ).
cnf(225,negated_conjecture,
net_str(esk13_0,esk12_0),
inference(split_conjunct,[status(thm)],[222]) ).
cnf(226,negated_conjecture,
one_sorted_str(esk12_0),
inference(split_conjunct,[status(thm)],[222]) ).
fof(247,plain,
! [X1] :
( ~ rel_str(X1)
| ! [X2] :
( ~ rel_str(X2)
| ( ( ~ subrelstr(X2,X1)
| ( subset(the_carrier(X2),the_carrier(X1))
& subset(the_InternalRel(X2),the_InternalRel(X1)) ) )
& ( ~ subset(the_carrier(X2),the_carrier(X1))
| ~ subset(the_InternalRel(X2),the_InternalRel(X1))
| subrelstr(X2,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(248,plain,
! [X3] :
( ~ rel_str(X3)
| ! [X4] :
( ~ rel_str(X4)
| ( ( ~ subrelstr(X4,X3)
| ( subset(the_carrier(X4),the_carrier(X3))
& subset(the_InternalRel(X4),the_InternalRel(X3)) ) )
& ( ~ subset(the_carrier(X4),the_carrier(X3))
| ~ subset(the_InternalRel(X4),the_InternalRel(X3))
| subrelstr(X4,X3) ) ) ) ),
inference(variable_rename,[status(thm)],[247]) ).
fof(249,plain,
! [X3,X4] :
( ~ rel_str(X4)
| ( ( ~ subrelstr(X4,X3)
| ( subset(the_carrier(X4),the_carrier(X3))
& subset(the_InternalRel(X4),the_InternalRel(X3)) ) )
& ( ~ subset(the_carrier(X4),the_carrier(X3))
| ~ subset(the_InternalRel(X4),the_InternalRel(X3))
| subrelstr(X4,X3) ) )
| ~ rel_str(X3) ),
inference(shift_quantors,[status(thm)],[248]) ).
fof(250,plain,
! [X3,X4] :
( ( subset(the_carrier(X4),the_carrier(X3))
| ~ subrelstr(X4,X3)
| ~ rel_str(X4)
| ~ rel_str(X3) )
& ( subset(the_InternalRel(X4),the_InternalRel(X3))
| ~ subrelstr(X4,X3)
| ~ rel_str(X4)
| ~ rel_str(X3) )
& ( ~ subset(the_carrier(X4),the_carrier(X3))
| ~ subset(the_InternalRel(X4),the_InternalRel(X3))
| subrelstr(X4,X3)
| ~ rel_str(X4)
| ~ rel_str(X3) ) ),
inference(distribute,[status(thm)],[249]) ).
cnf(253,plain,
( subset(the_carrier(X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[250]) ).
cnf(278,negated_conjecture,
( rel_str(esk13_0)
| ~ one_sorted_str(esk12_0) ),
inference(spm,[status(thm)],[204,225,theory(equality)]) ).
cnf(280,negated_conjecture,
( rel_str(esk13_0)
| $false ),
inference(rw,[status(thm)],[278,226,theory(equality)]) ).
cnf(281,negated_conjecture,
rel_str(esk13_0),
inference(cn,[status(thm)],[280,theory(equality)]) ).
cnf(314,plain,
( subrelstr(X3,X2)
| ~ subnetstr(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[125,70]) ).
cnf(315,negated_conjecture,
( subrelstr(esk14_0,esk13_0)
| ~ net_str(esk13_0,esk12_0)
| ~ one_sorted_str(esk12_0) ),
inference(spm,[status(thm)],[314,224,theory(equality)]) ).
cnf(317,negated_conjecture,
( subrelstr(esk14_0,esk13_0)
| $false
| ~ one_sorted_str(esk12_0) ),
inference(rw,[status(thm)],[315,225,theory(equality)]) ).
cnf(318,negated_conjecture,
( subrelstr(esk14_0,esk13_0)
| $false
| $false ),
inference(rw,[status(thm)],[317,226,theory(equality)]) ).
cnf(319,negated_conjecture,
subrelstr(esk14_0,esk13_0),
inference(cn,[status(thm)],[318,theory(equality)]) ).
cnf(328,plain,
( subset(the_carrier(X2),the_carrier(X1))
| ~ subrelstr(X2,X1)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[253,83]) ).
cnf(329,negated_conjecture,
( ~ subrelstr(esk14_0,esk13_0)
| ~ rel_str(esk13_0) ),
inference(spm,[status(thm)],[223,328,theory(equality)]) ).
cnf(353,negated_conjecture,
( ~ subrelstr(esk14_0,esk13_0)
| $false ),
inference(rw,[status(thm)],[329,281,theory(equality)]) ).
cnf(354,negated_conjecture,
~ subrelstr(esk14_0,esk13_0),
inference(cn,[status(thm)],[353,theory(equality)]) ).
cnf(385,negated_conjecture,
$false,
inference(sr,[status(thm)],[319,354,theory(equality)]) ).
cnf(386,negated_conjecture,
$false,
385,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU373+1.p
% --creating new selector for []
% -running prover on /tmp/tmplhY3F1/sel_SEU373+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU373+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU373+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU373+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
%
%------------------------------------------------------------------------------