%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS180+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : hopewell.cs.miami.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Core(TM)2 CPU 6600 @ 2.40GHz @ 2400MHz
% Memory : 1003MB
% OS : Linux 2.6.32.26-175.fc12.x86_64
% CPULimit : 300s
% DateTime : Fri Jun 15 07:47:25 EDT 2012
% Result : Theorem 0.08s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 10 unt; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 277 ( 100 ~; 108 |; 55 &)
% ( 8 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 181 ( 15 sgn 114 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
<~> status(X3,X4,X2) )
<=> xora(X1,X2) ),
file('/tmp/tmpgRBFZ5/sel_KRS180+1.p_1',xora) ).
fof(2,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> status(X3,X4,X2) )
<=> isa(X1,X2) ),
file('/tmp/tmpgRBFZ5/sel_KRS180+1.p_1',isa) ).
fof(3,axiom,
! [X1,X2] :
( ? [X3,X4] :
( status(X3,X4,X1)
& ~ status(X3,X4,X2) )
<=> nota(X1,X2) ),
file('/tmp/tmpgRBFZ5/sel_KRS180+1.p_1',nota) ).
fof(4,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> ~ status(X3,X4,X2) )
<=> nevera(X1,X2) ),
file('/tmp/tmpgRBFZ5/sel_KRS180+1.p_1',nevera) ).
fof(5,conjecture,
! [X1,X2] :
? [X3,X4] :
( status(X3,X4,X1)
=> ~ ( isa(X1,X2)
& ( nota(X1,X2)
| nevera(X1,X2)
| xora(X1,X2) ) ) ),
file('/tmp/tmpgRBFZ5/sel_KRS180+1.p_1',isa_exclusive) ).
fof(6,negated_conjecture,
~ ! [X1,X2] :
? [X3,X4] :
( status(X3,X4,X1)
=> ~ ( isa(X1,X2)
& ( nota(X1,X2)
| nevera(X1,X2)
| xora(X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[5]) ).
fof(7,plain,
! [X1,X2] :
( ! [X3,X4] :
~ ( status(X3,X4,X1)
<=> status(X3,X4,X2) )
<=> xora(X1,X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(8,plain,
! [X1,X2] :
( ? [X3,X4] :
( status(X3,X4,X1)
& ~ status(X3,X4,X2) )
<=> nota(X1,X2) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(9,plain,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> ~ status(X3,X4,X2) )
<=> nevera(X1,X2) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(10,plain,
! [X1,X2] :
( ( ? [X3,X4] :
( ( ~ status(X3,X4,X1)
| status(X3,X4,X2) )
& ( ~ status(X3,X4,X2)
| status(X3,X4,X1) ) )
| xora(X1,X2) )
& ( ~ xora(X1,X2)
| ! [X3,X4] :
( ( ~ status(X3,X4,X1)
| ~ status(X3,X4,X2) )
& ( status(X3,X4,X1)
| status(X3,X4,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(11,plain,
! [X5,X6] :
( ( ? [X7,X8] :
( ( ~ status(X7,X8,X5)
| status(X7,X8,X6) )
& ( ~ status(X7,X8,X6)
| status(X7,X8,X5) ) )
| xora(X5,X6) )
& ( ~ xora(X5,X6)
| ! [X9,X10] :
( ( ~ status(X9,X10,X5)
| ~ status(X9,X10,X6) )
& ( status(X9,X10,X5)
| status(X9,X10,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X5,X6] :
( ( ( ( ~ status(esk1_2(X5,X6),esk2_2(X5,X6),X5)
| status(esk1_2(X5,X6),esk2_2(X5,X6),X6) )
& ( ~ status(esk1_2(X5,X6),esk2_2(X5,X6),X6)
| status(esk1_2(X5,X6),esk2_2(X5,X6),X5) ) )
| xora(X5,X6) )
& ( ~ xora(X5,X6)
| ! [X9,X10] :
( ( ~ status(X9,X10,X5)
| ~ status(X9,X10,X6) )
& ( status(X9,X10,X5)
| status(X9,X10,X6) ) ) ) ),
inference(skolemize,[status(esa)],[11]) ).
fof(13,plain,
! [X5,X6,X9,X10] :
( ( ( ( ~ status(X9,X10,X5)
| ~ status(X9,X10,X6) )
& ( status(X9,X10,X5)
| status(X9,X10,X6) ) )
| ~ xora(X5,X6) )
& ( ( ( ~ status(esk1_2(X5,X6),esk2_2(X5,X6),X5)
| status(esk1_2(X5,X6),esk2_2(X5,X6),X6) )
& ( ~ status(esk1_2(X5,X6),esk2_2(X5,X6),X6)
| status(esk1_2(X5,X6),esk2_2(X5,X6),X5) ) )
| xora(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[12]) ).
fof(14,plain,
! [X5,X6,X9,X10] :
( ( ~ status(X9,X10,X5)
| ~ status(X9,X10,X6)
| ~ xora(X5,X6) )
& ( status(X9,X10,X5)
| status(X9,X10,X6)
| ~ xora(X5,X6) )
& ( ~ status(esk1_2(X5,X6),esk2_2(X5,X6),X5)
| status(esk1_2(X5,X6),esk2_2(X5,X6),X6)
| xora(X5,X6) )
& ( ~ status(esk1_2(X5,X6),esk2_2(X5,X6),X6)
| status(esk1_2(X5,X6),esk2_2(X5,X6),X5)
| xora(X5,X6) ) ),
inference(distribute,[status(thm)],[13]) ).
cnf(18,plain,
( ~ xora(X1,X2)
| ~ status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[14]) ).
fof(19,plain,
! [X1,X2] :
( ( ? [X3,X4] :
( status(X3,X4,X1)
& ~ status(X3,X4,X2) )
| isa(X1,X2) )
& ( ~ isa(X1,X2)
| ! [X3,X4] :
( ~ status(X3,X4,X1)
| status(X3,X4,X2) ) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(20,plain,
! [X5,X6] :
( ( ? [X7,X8] :
( status(X7,X8,X5)
& ~ status(X7,X8,X6) )
| isa(X5,X6) )
& ( ~ isa(X5,X6)
| ! [X9,X10] :
( ~ status(X9,X10,X5)
| status(X9,X10,X6) ) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,plain,
! [X5,X6] :
( ( ( status(esk3_2(X5,X6),esk4_2(X5,X6),X5)
& ~ status(esk3_2(X5,X6),esk4_2(X5,X6),X6) )
| isa(X5,X6) )
& ( ~ isa(X5,X6)
| ! [X9,X10] :
( ~ status(X9,X10,X5)
| status(X9,X10,X6) ) ) ),
inference(skolemize,[status(esa)],[20]) ).
fof(22,plain,
! [X5,X6,X9,X10] :
( ( ~ status(X9,X10,X5)
| status(X9,X10,X6)
| ~ isa(X5,X6) )
& ( ( status(esk3_2(X5,X6),esk4_2(X5,X6),X5)
& ~ status(esk3_2(X5,X6),esk4_2(X5,X6),X6) )
| isa(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[21]) ).
fof(23,plain,
! [X5,X6,X9,X10] :
( ( ~ status(X9,X10,X5)
| status(X9,X10,X6)
| ~ isa(X5,X6) )
& ( status(esk3_2(X5,X6),esk4_2(X5,X6),X5)
| isa(X5,X6) )
& ( ~ status(esk3_2(X5,X6),esk4_2(X5,X6),X6)
| isa(X5,X6) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(26,plain,
( status(X3,X4,X2)
| ~ isa(X1,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(27,plain,
! [X1,X2] :
( ( ! [X3,X4] :
( ~ status(X3,X4,X1)
| status(X3,X4,X2) )
| nota(X1,X2) )
& ( ~ nota(X1,X2)
| ? [X3,X4] :
( status(X3,X4,X1)
& ~ status(X3,X4,X2) ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(28,plain,
! [X5,X6] :
( ( ! [X7,X8] :
( ~ status(X7,X8,X5)
| status(X7,X8,X6) )
| nota(X5,X6) )
& ( ~ nota(X5,X6)
| ? [X9,X10] :
( status(X9,X10,X5)
& ~ status(X9,X10,X6) ) ) ),
inference(variable_rename,[status(thm)],[27]) ).
fof(29,plain,
! [X5,X6] :
( ( ! [X7,X8] :
( ~ status(X7,X8,X5)
| status(X7,X8,X6) )
| nota(X5,X6) )
& ( ~ nota(X5,X6)
| ( status(esk5_2(X5,X6),esk6_2(X5,X6),X5)
& ~ status(esk5_2(X5,X6),esk6_2(X5,X6),X6) ) ) ),
inference(skolemize,[status(esa)],[28]) ).
fof(30,plain,
! [X5,X6,X7,X8] :
( ( ~ status(X7,X8,X5)
| status(X7,X8,X6)
| nota(X5,X6) )
& ( ~ nota(X5,X6)
| ( status(esk5_2(X5,X6),esk6_2(X5,X6),X5)
& ~ status(esk5_2(X5,X6),esk6_2(X5,X6),X6) ) ) ),
inference(shift_quantors,[status(thm)],[29]) ).
fof(31,plain,
! [X5,X6,X7,X8] :
( ( ~ status(X7,X8,X5)
| status(X7,X8,X6)
| nota(X5,X6) )
& ( status(esk5_2(X5,X6),esk6_2(X5,X6),X5)
| ~ nota(X5,X6) )
& ( ~ status(esk5_2(X5,X6),esk6_2(X5,X6),X6)
| ~ nota(X5,X6) ) ),
inference(distribute,[status(thm)],[30]) ).
cnf(32,plain,
( ~ nota(X1,X2)
| ~ status(esk5_2(X1,X2),esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(34,plain,
( nota(X1,X2)
| status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(35,plain,
! [X1,X2] :
( ( ? [X3,X4] :
( status(X3,X4,X1)
& status(X3,X4,X2) )
| nevera(X1,X2) )
& ( ~ nevera(X1,X2)
| ! [X3,X4] :
( ~ status(X3,X4,X1)
| ~ status(X3,X4,X2) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(36,plain,
! [X5,X6] :
( ( ? [X7,X8] :
( status(X7,X8,X5)
& status(X7,X8,X6) )
| nevera(X5,X6) )
& ( ~ nevera(X5,X6)
| ! [X9,X10] :
( ~ status(X9,X10,X5)
| ~ status(X9,X10,X6) ) ) ),
inference(variable_rename,[status(thm)],[35]) ).
fof(37,plain,
! [X5,X6] :
( ( ( status(esk7_2(X5,X6),esk8_2(X5,X6),X5)
& status(esk7_2(X5,X6),esk8_2(X5,X6),X6) )
| nevera(X5,X6) )
& ( ~ nevera(X5,X6)
| ! [X9,X10] :
( ~ status(X9,X10,X5)
| ~ status(X9,X10,X6) ) ) ),
inference(skolemize,[status(esa)],[36]) ).
fof(38,plain,
! [X5,X6,X9,X10] :
( ( ~ status(X9,X10,X5)
| ~ status(X9,X10,X6)
| ~ nevera(X5,X6) )
& ( ( status(esk7_2(X5,X6),esk8_2(X5,X6),X5)
& status(esk7_2(X5,X6),esk8_2(X5,X6),X6) )
| nevera(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[37]) ).
fof(39,plain,
! [X5,X6,X9,X10] :
( ( ~ status(X9,X10,X5)
| ~ status(X9,X10,X6)
| ~ nevera(X5,X6) )
& ( status(esk7_2(X5,X6),esk8_2(X5,X6),X5)
| nevera(X5,X6) )
& ( status(esk7_2(X5,X6),esk8_2(X5,X6),X6)
| nevera(X5,X6) ) ),
inference(distribute,[status(thm)],[38]) ).
cnf(42,plain,
( ~ nevera(X1,X2)
| ~ status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(43,negated_conjecture,
? [X1,X2] :
! [X3,X4] :
( status(X3,X4,X1)
& isa(X1,X2)
& ( nota(X1,X2)
| nevera(X1,X2)
| xora(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(44,negated_conjecture,
? [X5,X6] :
! [X7,X8] :
( status(X7,X8,X5)
& isa(X5,X6)
& ( nota(X5,X6)
| nevera(X5,X6)
| xora(X5,X6) ) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,negated_conjecture,
! [X7,X8] :
( status(X7,X8,esk9_0)
& isa(esk9_0,esk10_0)
& ( nota(esk9_0,esk10_0)
| nevera(esk9_0,esk10_0)
| xora(esk9_0,esk10_0) ) ),
inference(skolemize,[status(esa)],[44]) ).
cnf(46,negated_conjecture,
( xora(esk9_0,esk10_0)
| nevera(esk9_0,esk10_0)
| nota(esk9_0,esk10_0) ),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(47,negated_conjecture,
isa(esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(48,negated_conjecture,
status(X1,X2,esk9_0),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(49,negated_conjecture,
( nota(esk9_0,X1)
| status(X2,X3,X1) ),
inference(spm,[status(thm)],[34,48,theory(equality)]) ).
cnf(50,negated_conjecture,
( status(X1,X2,X3)
| ~ isa(esk9_0,X3) ),
inference(spm,[status(thm)],[26,48,theory(equality)]) ).
cnf(77,negated_conjecture,
( nota(esk9_0,X2)
| ~ xora(X1,X2)
| ~ status(X3,X4,X1) ),
inference(spm,[status(thm)],[18,49,theory(equality)]) ).
cnf(94,negated_conjecture,
status(X1,X2,esk10_0),
inference(spm,[status(thm)],[50,47,theory(equality)]) ).
cnf(104,negated_conjecture,
( nota(esk9_0,X1)
| ~ xora(esk9_0,X1) ),
inference(spm,[status(thm)],[77,48,theory(equality)]) ).
cnf(114,negated_conjecture,
( ~ nevera(X1,esk10_0)
| ~ status(X2,X3,X1) ),
inference(spm,[status(thm)],[42,94,theory(equality)]) ).
cnf(118,negated_conjecture,
~ nota(X1,esk10_0),
inference(spm,[status(thm)],[32,94,theory(equality)]) ).
cnf(128,negated_conjecture,
~ xora(esk9_0,esk10_0),
inference(spm,[status(thm)],[118,104,theory(equality)]) ).
cnf(129,negated_conjecture,
( nevera(esk9_0,esk10_0)
| xora(esk9_0,esk10_0) ),
inference(sr,[status(thm)],[46,118,theory(equality)]) ).
cnf(132,negated_conjecture,
nevera(esk9_0,esk10_0),
inference(sr,[status(thm)],[129,128,theory(equality)]) ).
cnf(143,negated_conjecture,
~ status(X1,X2,esk9_0),
inference(spm,[status(thm)],[114,132,theory(equality)]) ).
cnf(144,negated_conjecture,
$false,
inference(rw,[status(thm)],[143,48,theory(equality)]) ).
cnf(145,negated_conjecture,
$false,
inference(cn,[status(thm)],[144,theory(equality)]) ).
cnf(146,negated_conjecture,
$false,
145,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS180+1.p
% --creating new selector for [KRS001+1.ax]
% -running prover on /tmp/tmpgRBFZ5/sel_KRS180+1.p_1 with time limit 29
% -running prover with command ['/davis/home/graph/tptp/Systems/SInE---0.4/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/tmp/tmpgRBFZ5/sel_KRS180+1.p_1']
% -prover status Theorem
% Problem KRS180+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS180+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS180+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
%
%------------------------------------------------------------------------------