%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS172+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 : Sat Dec 25 13:04:41 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 77 ( 12 unt; 0 def)
% Number of atoms : 266 ( 12 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 306 ( 117 ~; 146 |; 29 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 81 ( 4 sgn 55 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( cd(X1)
<=> rp(X1,iv) ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',axiom_3) ).
fof(5,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',axiom_0) ).
fof(6,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X5] :
( rq(X1,X5)
<=> rp(X1,X5) ) ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',the_axiom) ).
fof(7,axiom,
! [X1] :
( cd(X1)
<=> rq(X1,iv) ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',axiom_2) ).
fof(10,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',axiom_1) ).
fof(12,axiom,
! [X1,X5] :
( rq(X1,X5)
=> cd(X1) ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',axiom_7) ).
fof(13,axiom,
! [X1,X5,X6] :
( ( rp(X1,X5)
& rp(X1,X6) )
=> X5 = X6 ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',axiom_4) ).
fof(14,axiom,
! [X1,X5] :
( rp(X1,X5)
=> cd(X1) ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',axiom_5) ).
fof(16,axiom,
! [X1,X5,X6] :
( ( rq(X1,X5)
& rq(X1,X6) )
=> X5 = X6 ),
file('/tmp/tmpyUowaZ/sel_KRS172+1.p_1',axiom_6) ).
fof(20,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X5] :
( rq(X1,X5)
<=> rp(X1,X5) ) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(21,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(22,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X5] :
( rq(X1,X5)
<=> rp(X1,X5) ) ),
inference(fof_simplification,[status(thm)],[20,theory(equality)]) ).
fof(23,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(24,plain,
! [X1] :
( ( ~ cd(X1)
| rp(X1,iv) )
& ( ~ rp(X1,iv)
| cd(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(25,plain,
! [X2] :
( ( ~ cd(X2)
| rp(X2,iv) )
& ( ~ rp(X2,iv)
| cd(X2) ) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(27,plain,
( rp(X1,iv)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(37,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[21]) ).
cnf(38,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(39,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[37]) ).
fof(40,negated_conjecture,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ? [X1,X5] :
( ( ~ rq(X1,X5)
| ~ rp(X1,X5) )
& ( rq(X1,X5)
| rp(X1,X5) ) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(41,negated_conjecture,
( ? [X6] :
( ~ cowlThing(X6)
| cowlNothing(X6) )
| ? [X7] :
( ( ~ xsd_string(X7)
| xsd_integer(X7) )
& ( xsd_string(X7)
| ~ xsd_integer(X7) ) )
| ? [X8,X9] :
( ( ~ rq(X8,X9)
| ~ rp(X8,X9) )
& ( rq(X8,X9)
| rp(X8,X9) ) ) ),
inference(variable_rename,[status(thm)],[40]) ).
fof(42,negated_conjecture,
( ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ( ( ~ xsd_string(esk2_0)
| xsd_integer(esk2_0) )
& ( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0) ) )
| ( ( ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) )
& ( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ) ) ),
inference(skolemize,[status(esa)],[41]) ).
fof(43,negated_conjecture,
( ( ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) ) ),
inference(distribute,[status(thm)],[42]) ).
cnf(44,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(45,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(46,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(47,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[43]) ).
fof(48,plain,
! [X1] :
( ( ~ cd(X1)
| rq(X1,iv) )
& ( ~ rq(X1,iv)
| cd(X1) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(49,plain,
! [X2] :
( ( ~ cd(X2)
| rq(X2,iv) )
& ( ~ rq(X2,iv)
| cd(X2) ) ),
inference(variable_rename,[status(thm)],[48]) ).
cnf(51,plain,
( rq(X1,iv)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(58,plain,
! [X1] :
( ( ~ xsd_string(X1)
| ~ xsd_integer(X1) )
& ( xsd_integer(X1)
| xsd_string(X1) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(59,plain,
! [X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(variable_rename,[status(thm)],[58]) ).
cnf(60,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(61,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(65,plain,
! [X1,X5] :
( ~ rq(X1,X5)
| cd(X1) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(66,plain,
! [X6,X7] :
( ~ rq(X6,X7)
| cd(X6) ),
inference(variable_rename,[status(thm)],[65]) ).
cnf(67,plain,
( cd(X1)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(68,plain,
! [X1,X5,X6] :
( ~ rp(X1,X5)
| ~ rp(X1,X6)
| X5 = X6 ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(69,plain,
! [X7,X8,X9] :
( ~ rp(X7,X8)
| ~ rp(X7,X9)
| X8 = X9 ),
inference(variable_rename,[status(thm)],[68]) ).
cnf(70,plain,
( X1 = X2
| ~ rp(X3,X2)
| ~ rp(X3,X1) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(71,plain,
! [X1,X5] :
( ~ rp(X1,X5)
| cd(X1) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(72,plain,
! [X6,X7] :
( ~ rp(X6,X7)
| cd(X6) ),
inference(variable_rename,[status(thm)],[71]) ).
cnf(73,plain,
( cd(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(77,plain,
! [X1,X5,X6] :
( ~ rq(X1,X5)
| ~ rq(X1,X6)
| X5 = X6 ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(78,plain,
! [X7,X8,X9] :
( ~ rq(X7,X8)
| ~ rq(X7,X9)
| X8 = X9 ),
inference(variable_rename,[status(thm)],[77]) ).
cnf(79,plain,
( X1 = X2
| ~ rq(X3,X2)
| ~ rq(X3,X1) ),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(88,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| $false
| ~ xsd_string(esk2_0) ),
inference(rw,[status(thm)],[46,39,theory(equality)]),
[unfolding] ).
cnf(89,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| $false ),
inference(rw,[status(thm)],[44,39,theory(equality)]),
[unfolding] ).
cnf(90,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| $false
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(rw,[status(thm)],[47,39,theory(equality)]),
[unfolding] ).
cnf(91,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| $false
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(rw,[status(thm)],[45,39,theory(equality)]),
[unfolding] ).
cnf(93,negated_conjecture,
( xsd_integer(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ xsd_string(esk2_0) ),
inference(sr,[status(thm)],[88,38,theory(equality)]) ).
cnf(94,negated_conjecture,
( xsd_integer(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[93,60]) ).
cnf(95,negated_conjecture,
( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0) ),
inference(spm,[status(thm)],[61,94,theory(equality)]) ).
cnf(96,negated_conjecture,
( xsd_string(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[89,38,theory(equality)]) ).
cnf(97,negated_conjecture,
( xsd_string(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[96,94]) ).
cnf(98,negated_conjecture,
( xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[90,38,theory(equality)]) ).
cnf(99,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[98,60]) ).
cnf(100,negated_conjecture,
( ~ xsd_string(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[61,99,theory(equality)]) ).
cnf(101,negated_conjecture,
( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[91,38,theory(equality)]) ).
cnf(102,negated_conjecture,
( xsd_string(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[101,99]) ).
cnf(103,negated_conjecture,
( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[95,97]) ).
cnf(104,negated_conjecture,
( cd(esk3_0)
| rp(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[67,103,theory(equality)]) ).
cnf(106,negated_conjecture,
cd(esk3_0),
inference(csr,[status(thm)],[104,73]) ).
cnf(107,negated_conjecture,
rp(esk3_0,iv),
inference(spm,[status(thm)],[27,106,theory(equality)]) ).
cnf(108,negated_conjecture,
rq(esk3_0,iv),
inference(spm,[status(thm)],[51,106,theory(equality)]) ).
cnf(109,negated_conjecture,
( ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[100,102]) ).
cnf(112,negated_conjecture,
( X1 = iv
| ~ rp(esk3_0,X1) ),
inference(spm,[status(thm)],[70,107,theory(equality)]) ).
cnf(115,negated_conjecture,
( X1 = iv
| ~ rq(esk3_0,X1) ),
inference(spm,[status(thm)],[79,108,theory(equality)]) ).
cnf(117,negated_conjecture,
( esk4_0 = iv
| rp(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[115,103,theory(equality)]) ).
cnf(118,negated_conjecture,
iv = esk4_0,
inference(csr,[status(thm)],[117,112]) ).
cnf(119,negated_conjecture,
rq(esk3_0,esk4_0),
inference(rw,[status(thm)],[108,118,theory(equality)]) ).
cnf(120,negated_conjecture,
rp(esk3_0,esk4_0),
inference(rw,[status(thm)],[107,118,theory(equality)]) ).
cnf(127,negated_conjecture,
( $false
| ~ rp(esk3_0,esk4_0) ),
inference(rw,[status(thm)],[109,119,theory(equality)]) ).
cnf(128,negated_conjecture,
~ rp(esk3_0,esk4_0),
inference(cn,[status(thm)],[127,theory(equality)]) ).
cnf(134,negated_conjecture,
$false,
inference(rw,[status(thm)],[128,120,theory(equality)]) ).
cnf(135,negated_conjecture,
$false,
inference(cn,[status(thm)],[134,theory(equality)]) ).
cnf(136,negated_conjecture,
$false,
135,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS172+1.p
% --creating new selector for []
% -running prover on /tmp/tmpyUowaZ/sel_KRS172+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS172+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS172+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS172+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
%
%------------------------------------------------------------------------------