%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PHI012+1 : TPTP v7.2.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n046.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Tue May 29 12:48:20 EDT 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 58 ( 11 unt; 0 def)
% Number of atoms : 237 ( 7 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 295 ( 116 ~; 120 |; 50 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 49 ( 0 sgn 24 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> equal(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpgtbqI_/sel_theBenchmark.p_1',lemma_2) ).
fof(2,axiom,
! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
<=> ( exemplifies_property(conceivable,X1)
& ~ ? [X2] :
( object(X2)
& exemplifies_relation(greater_than,X2,X1)
& exemplifies_property(conceivable,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpgtbqI_/sel_theBenchmark.p_1',definition_none_greater) ).
fof(3,axiom,
! [X1,X2] :
( ( object(X1)
& object(X2) )
=> ( exemplifies_relation(greater_than,X1,X2)
| exemplifies_relation(greater_than,X2,X1)
| equal(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpgtbqI_/sel_theBenchmark.p_1',connectedness_of_greater_than) ).
fof(4,negated_conjecture,
~ ( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> equal(X2,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(5,negated_conjecture,
( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) )
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(none_greater,X1)
| ? [X2] :
( object(X2)
& exemplifies_property(none_greater,X2)
& ~ equal(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(6,negated_conjecture,
( ? [X3] :
( object(X3)
& exemplifies_property(none_greater,X3) )
& ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(none_greater,X4)
| ? [X5] :
( object(X5)
& exemplifies_property(none_greater,X5)
& ~ equal(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(7,negated_conjecture,
( object(esk1_0)
& exemplifies_property(none_greater,esk1_0)
& ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(none_greater,X4)
| ( object(esk2_1(X4))
& exemplifies_property(none_greater,esk2_1(X4))
& ~ equal(esk2_1(X4),X4) ) ) ),
inference(skolemize,[status(esa)],[6]) ).
fof(8,negated_conjecture,
! [X4] :
( ( ~ object(X4)
| ~ exemplifies_property(none_greater,X4)
| ( object(esk2_1(X4))
& exemplifies_property(none_greater,esk2_1(X4))
& ~ equal(esk2_1(X4),X4) ) )
& object(esk1_0)
& exemplifies_property(none_greater,esk1_0) ),
inference(shift_quantors,[status(thm)],[7]) ).
fof(9,negated_conjecture,
! [X4] :
( ( object(esk2_1(X4))
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
& ( exemplifies_property(none_greater,esk2_1(X4))
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
& ( ~ equal(esk2_1(X4),X4)
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
& object(esk1_0)
& exemplifies_property(none_greater,esk1_0) ),
inference(distribute,[status(thm)],[8]) ).
cnf(10,negated_conjecture,
exemplifies_property(none_greater,esk1_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(11,negated_conjecture,
object(esk1_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(12,negated_conjecture,
( ~ exemplifies_property(none_greater,X1)
| ~ object(X1)
| esk2_1(X1) != X1 ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(13,negated_conjecture,
( exemplifies_property(none_greater,esk2_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(14,negated_conjecture,
( object(esk2_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
fof(15,plain,
! [X1] :
( ~ object(X1)
| ( ( ~ exemplifies_property(none_greater,X1)
| ( exemplifies_property(conceivable,X1)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X1)
| ~ exemplifies_property(conceivable,X2) ) ) )
& ( ~ exemplifies_property(conceivable,X1)
| ? [X2] :
( object(X2)
& exemplifies_relation(greater_than,X2,X1)
& exemplifies_property(conceivable,X2) )
| exemplifies_property(none_greater,X1) ) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(16,plain,
! [X3] :
( ~ object(X3)
| ( ( ~ exemplifies_property(none_greater,X3)
| ( exemplifies_property(conceivable,X3)
& ! [X4] :
( ~ object(X4)
| ~ exemplifies_relation(greater_than,X4,X3)
| ~ exemplifies_property(conceivable,X4) ) ) )
& ( ~ exemplifies_property(conceivable,X3)
| ? [X5] :
( object(X5)
& exemplifies_relation(greater_than,X5,X3)
& exemplifies_property(conceivable,X5) )
| exemplifies_property(none_greater,X3) ) ) ),
inference(variable_rename,[status(thm)],[15]) ).
fof(17,plain,
! [X3] :
( ~ object(X3)
| ( ( ~ exemplifies_property(none_greater,X3)
| ( exemplifies_property(conceivable,X3)
& ! [X4] :
( ~ object(X4)
| ~ exemplifies_relation(greater_than,X4,X3)
| ~ exemplifies_property(conceivable,X4) ) ) )
& ( ~ exemplifies_property(conceivable,X3)
| ( object(esk3_1(X3))
& exemplifies_relation(greater_than,esk3_1(X3),X3)
& exemplifies_property(conceivable,esk3_1(X3)) )
| exemplifies_property(none_greater,X3) ) ) ),
inference(skolemize,[status(esa)],[16]) ).
fof(18,plain,
! [X3,X4] :
( ( ( ( ( ~ object(X4)
| ~ exemplifies_relation(greater_than,X4,X3)
| ~ exemplifies_property(conceivable,X4) )
& exemplifies_property(conceivable,X3) )
| ~ exemplifies_property(none_greater,X3) )
& ( ~ exemplifies_property(conceivable,X3)
| ( object(esk3_1(X3))
& exemplifies_relation(greater_than,esk3_1(X3),X3)
& exemplifies_property(conceivable,esk3_1(X3)) )
| exemplifies_property(none_greater,X3) ) )
| ~ object(X3) ),
inference(shift_quantors,[status(thm)],[17]) ).
fof(19,plain,
! [X3,X4] :
( ( ~ object(X4)
| ~ exemplifies_relation(greater_than,X4,X3)
| ~ exemplifies_property(conceivable,X4)
| ~ exemplifies_property(none_greater,X3)
| ~ object(X3) )
& ( exemplifies_property(conceivable,X3)
| ~ exemplifies_property(none_greater,X3)
| ~ object(X3) )
& ( object(esk3_1(X3))
| ~ exemplifies_property(conceivable,X3)
| exemplifies_property(none_greater,X3)
| ~ object(X3) )
& ( exemplifies_relation(greater_than,esk3_1(X3),X3)
| ~ exemplifies_property(conceivable,X3)
| exemplifies_property(none_greater,X3)
| ~ object(X3) )
& ( exemplifies_property(conceivable,esk3_1(X3))
| ~ exemplifies_property(conceivable,X3)
| exemplifies_property(none_greater,X3)
| ~ object(X3) ) ),
inference(distribute,[status(thm)],[18]) ).
cnf(23,plain,
( exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X1) ),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(24,plain,
( ~ object(X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X1)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[19]) ).
fof(25,plain,
! [X1,X2] :
( ~ object(X1)
| ~ object(X2)
| exemplifies_relation(greater_than,X1,X2)
| exemplifies_relation(greater_than,X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(26,plain,
! [X3,X4] :
( ~ object(X3)
| ~ object(X4)
| exemplifies_relation(greater_than,X3,X4)
| exemplifies_relation(greater_than,X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(27,plain,
( X1 = X2
| exemplifies_relation(greater_than,X2,X1)
| exemplifies_relation(greater_than,X1,X2)
| ~ object(X2)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,negated_conjecture,
( object(esk2_1(esk1_0))
| ~ object(esk1_0) ),
inference(spm,[status(thm)],[14,10,theory(equality)]) ).
cnf(29,negated_conjecture,
( object(esk2_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[28,11,theory(equality)]) ).
cnf(30,negated_conjecture,
object(esk2_1(esk1_0)),
inference(cn,[status(thm)],[29,theory(equality)]) ).
cnf(31,negated_conjecture,
( exemplifies_property(conceivable,esk1_0)
| ~ object(esk1_0) ),
inference(spm,[status(thm)],[23,10,theory(equality)]) ).
cnf(32,negated_conjecture,
( exemplifies_property(conceivable,esk1_0)
| $false ),
inference(rw,[status(thm)],[31,11,theory(equality)]) ).
cnf(33,negated_conjecture,
exemplifies_property(conceivable,esk1_0),
inference(cn,[status(thm)],[32,theory(equality)]) ).
cnf(34,negated_conjecture,
( exemplifies_property(none_greater,esk2_1(esk1_0))
| ~ object(esk1_0) ),
inference(spm,[status(thm)],[13,10,theory(equality)]) ).
cnf(35,negated_conjecture,
( exemplifies_property(none_greater,esk2_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[34,11,theory(equality)]) ).
cnf(36,negated_conjecture,
exemplifies_property(none_greater,esk2_1(esk1_0)),
inference(cn,[status(thm)],[35,theory(equality)]) ).
cnf(37,negated_conjecture,
( ~ exemplifies_relation(greater_than,X1,esk1_0)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ object(esk1_0) ),
inference(spm,[status(thm)],[24,10,theory(equality)]) ).
cnf(38,negated_conjecture,
( ~ exemplifies_relation(greater_than,X1,esk1_0)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| $false ),
inference(rw,[status(thm)],[37,11,theory(equality)]) ).
cnf(39,negated_conjecture,
( ~ exemplifies_relation(greater_than,X1,esk1_0)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1) ),
inference(cn,[status(thm)],[38,theory(equality)]) ).
cnf(58,negated_conjecture,
( exemplifies_property(conceivable,esk2_1(esk1_0))
| ~ object(esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[23,36,theory(equality)]) ).
cnf(60,negated_conjecture,
( ~ exemplifies_relation(greater_than,X1,esk2_1(esk1_0))
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ object(esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[24,36,theory(equality)]) ).
cnf(63,negated_conjecture,
( exemplifies_property(conceivable,esk2_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[58,30,theory(equality)]) ).
cnf(64,negated_conjecture,
exemplifies_property(conceivable,esk2_1(esk1_0)),
inference(cn,[status(thm)],[63,theory(equality)]) ).
cnf(67,negated_conjecture,
( ~ exemplifies_relation(greater_than,X1,esk2_1(esk1_0))
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| $false ),
inference(rw,[status(thm)],[60,30,theory(equality)]) ).
cnf(68,negated_conjecture,
( ~ exemplifies_relation(greater_than,X1,esk2_1(esk1_0))
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1) ),
inference(cn,[status(thm)],[67,theory(equality)]) ).
cnf(72,negated_conjecture,
( ~ exemplifies_relation(greater_than,esk2_1(esk1_0),esk1_0)
| ~ object(esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[39,64,theory(equality)]) ).
cnf(82,negated_conjecture,
( ~ exemplifies_relation(greater_than,esk2_1(esk1_0),esk1_0)
| $false ),
inference(rw,[status(thm)],[72,30,theory(equality)]) ).
cnf(83,negated_conjecture,
~ exemplifies_relation(greater_than,esk2_1(esk1_0),esk1_0),
inference(cn,[status(thm)],[82,theory(equality)]) ).
cnf(84,negated_conjecture,
( esk2_1(esk1_0) = esk1_0
| exemplifies_relation(greater_than,esk1_0,esk2_1(esk1_0))
| ~ object(esk1_0)
| ~ object(esk2_1(esk1_0)) ),
inference(spm,[status(thm)],[83,27,theory(equality)]) ).
cnf(86,negated_conjecture,
( esk2_1(esk1_0) = esk1_0
| exemplifies_relation(greater_than,esk1_0,esk2_1(esk1_0))
| $false
| ~ object(esk2_1(esk1_0)) ),
inference(rw,[status(thm)],[84,11,theory(equality)]) ).
cnf(87,negated_conjecture,
( esk2_1(esk1_0) = esk1_0
| exemplifies_relation(greater_than,esk1_0,esk2_1(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[86,30,theory(equality)]) ).
cnf(88,negated_conjecture,
( esk2_1(esk1_0) = esk1_0
| exemplifies_relation(greater_than,esk1_0,esk2_1(esk1_0)) ),
inference(cn,[status(thm)],[87,theory(equality)]) ).
cnf(92,negated_conjecture,
( ~ exemplifies_relation(greater_than,esk1_0,esk2_1(esk1_0))
| ~ object(esk1_0) ),
inference(spm,[status(thm)],[68,33,theory(equality)]) ).
cnf(94,negated_conjecture,
( ~ exemplifies_relation(greater_than,esk1_0,esk2_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[92,11,theory(equality)]) ).
cnf(95,negated_conjecture,
~ exemplifies_relation(greater_than,esk1_0,esk2_1(esk1_0)),
inference(cn,[status(thm)],[94,theory(equality)]) ).
cnf(128,negated_conjecture,
esk2_1(esk1_0) = esk1_0,
inference(sr,[status(thm)],[88,95,theory(equality)]) ).
cnf(129,negated_conjecture,
( ~ exemplifies_property(none_greater,esk1_0)
| ~ object(esk1_0) ),
inference(spm,[status(thm)],[12,128,theory(equality)]) ).
cnf(147,negated_conjecture,
( $false
| ~ object(esk1_0) ),
inference(rw,[status(thm)],[129,10,theory(equality)]) ).
cnf(148,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[147,11,theory(equality)]) ).
cnf(149,negated_conjecture,
$false,
inference(cn,[status(thm)],[148,theory(equality)]) ).
cnf(150,negated_conjecture,
$false,
149,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI012+1 : TPTP v7.2.0. Released v7.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n046.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Tue May 29 11:14:29 CDT 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.29 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 --creating new selector for []
% 0.06/0.35 -running prover on /export/starexec/sandbox2/tmp/tmpgtbqI_/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.35 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpgtbqI_/sel_theBenchmark.p_1']
% 0.06/0.35 -prover status Theorem
% 0.06/0.35 Problem theBenchmark.p solved in phase 0.
% 0.06/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 Solved 1 out of 1.
% 0.06/0.35 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.35 # SZS status Theorem
% 0.06/0.35 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.35 # SZS output end CNFRefutation
%------------------------------------------------------------------------------