TSTP Solution File: PHI009+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PHI009+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 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 45 ( 7 unt; 0 def)
% Number of atoms : 353 ( 10 equ)
% Maximal formula atoms : 74 ( 7 avg)
% Number of connectives : 530 ( 222 ~; 229 |; 65 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 105 ( 2 sgn 44 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( ( property(X1)
& property(X2)
& object(X3) )
=> ( ( is_the(X3,X1)
& exemplifies_property(X2,X3) )
<=> ? [X4] :
( object(X4)
& exemplifies_property(X1,X4)
& ! [X5] :
( object(X5)
=> ( exemplifies_property(X1,X5)
=> equal(X5,X4) ) )
& exemplifies_property(X2,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmpPmM6ex/sel_theBenchmark.p_1',description_axiom_schema_instance) ).
fof(2,conjecture,
! [X1] :
( property(X1)
=> ( ? [X4] :
( object(X4)
& exemplifies_property(X1,X4)
& ! [X5] :
( object(X5)
=> ( exemplifies_property(X1,X5)
=> equal(X5,X4) ) ) )
=> ? [X6] :
( object(X6)
& is_the(X6,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmpPmM6ex/sel_theBenchmark.p_1',description_theorem_1) ).
fof(3,negated_conjecture,
~ ! [X1] :
( property(X1)
=> ( ? [X4] :
( object(X4)
& exemplifies_property(X1,X4)
& ! [X5] :
( object(X5)
=> ( exemplifies_property(X1,X5)
=> equal(X5,X4) ) ) )
=> ? [X6] :
( object(X6)
& is_the(X6,X1) ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(4,plain,
! [X1,X2,X3] :
( ~ property(X1)
| ~ property(X2)
| ~ object(X3)
| ( ( ~ is_the(X3,X1)
| ~ exemplifies_property(X2,X3)
| ? [X4] :
( object(X4)
& exemplifies_property(X1,X4)
& ! [X5] :
( ~ object(X5)
| ~ exemplifies_property(X1,X5)
| equal(X5,X4) )
& exemplifies_property(X2,X4) ) )
& ( ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(X1,X4)
| ? [X5] :
( object(X5)
& exemplifies_property(X1,X5)
& ~ equal(X5,X4) )
| ~ exemplifies_property(X2,X4) )
| ( is_the(X3,X1)
& exemplifies_property(X2,X3) ) ) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(5,plain,
! [X6,X7,X8] :
( ~ property(X6)
| ~ property(X7)
| ~ object(X8)
| ( ( ~ is_the(X8,X6)
| ~ exemplifies_property(X7,X8)
| ? [X9] :
( object(X9)
& exemplifies_property(X6,X9)
& ! [X10] :
( ~ object(X10)
| ~ exemplifies_property(X6,X10)
| equal(X10,X9) )
& exemplifies_property(X7,X9) ) )
& ( ! [X11] :
( ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ? [X12] :
( object(X12)
& exemplifies_property(X6,X12)
& ~ equal(X12,X11) )
| ~ exemplifies_property(X7,X11) )
| ( is_the(X8,X6)
& exemplifies_property(X7,X8) ) ) ) ),
inference(variable_rename,[status(thm)],[4]) ).
fof(6,plain,
! [X6,X7,X8] :
( ~ property(X6)
| ~ property(X7)
| ~ object(X8)
| ( ( ~ is_the(X8,X6)
| ~ exemplifies_property(X7,X8)
| ( object(esk1_3(X6,X7,X8))
& exemplifies_property(X6,esk1_3(X6,X7,X8))
& ! [X10] :
( ~ object(X10)
| ~ exemplifies_property(X6,X10)
| equal(X10,esk1_3(X6,X7,X8)) )
& exemplifies_property(X7,esk1_3(X6,X7,X8)) ) )
& ( ! [X11] :
( ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ( object(esk2_4(X6,X7,X8,X11))
& exemplifies_property(X6,esk2_4(X6,X7,X8,X11))
& ~ equal(esk2_4(X6,X7,X8,X11),X11) )
| ~ exemplifies_property(X7,X11) )
| ( is_the(X8,X6)
& exemplifies_property(X7,X8) ) ) ) ),
inference(skolemize,[status(esa)],[5]) ).
fof(7,plain,
! [X6,X7,X8,X10,X11] :
( ( ( ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ( object(esk2_4(X6,X7,X8,X11))
& exemplifies_property(X6,esk2_4(X6,X7,X8,X11))
& ~ equal(esk2_4(X6,X7,X8,X11),X11) )
| ~ exemplifies_property(X7,X11)
| ( is_the(X8,X6)
& exemplifies_property(X7,X8) ) )
& ( ( ( ~ object(X10)
| ~ exemplifies_property(X6,X10)
| equal(X10,esk1_3(X6,X7,X8)) )
& object(esk1_3(X6,X7,X8))
& exemplifies_property(X6,esk1_3(X6,X7,X8))
& exemplifies_property(X7,esk1_3(X6,X7,X8)) )
| ~ is_the(X8,X6)
| ~ exemplifies_property(X7,X8) ) )
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) ),
inference(shift_quantors,[status(thm)],[6]) ).
fof(8,plain,
! [X6,X7,X8,X10,X11] :
( ( is_the(X8,X6)
| object(esk2_4(X6,X7,X8,X11))
| ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ~ exemplifies_property(X7,X11)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( exemplifies_property(X7,X8)
| object(esk2_4(X6,X7,X8,X11))
| ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ~ exemplifies_property(X7,X11)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( is_the(X8,X6)
| exemplifies_property(X6,esk2_4(X6,X7,X8,X11))
| ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ~ exemplifies_property(X7,X11)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( exemplifies_property(X7,X8)
| exemplifies_property(X6,esk2_4(X6,X7,X8,X11))
| ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ~ exemplifies_property(X7,X11)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( is_the(X8,X6)
| ~ equal(esk2_4(X6,X7,X8,X11),X11)
| ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ~ exemplifies_property(X7,X11)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( exemplifies_property(X7,X8)
| ~ equal(esk2_4(X6,X7,X8,X11),X11)
| ~ object(X11)
| ~ exemplifies_property(X6,X11)
| ~ exemplifies_property(X7,X11)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( ~ object(X10)
| ~ exemplifies_property(X6,X10)
| equal(X10,esk1_3(X6,X7,X8))
| ~ is_the(X8,X6)
| ~ exemplifies_property(X7,X8)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( object(esk1_3(X6,X7,X8))
| ~ is_the(X8,X6)
| ~ exemplifies_property(X7,X8)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( exemplifies_property(X6,esk1_3(X6,X7,X8))
| ~ is_the(X8,X6)
| ~ exemplifies_property(X7,X8)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) )
& ( exemplifies_property(X7,esk1_3(X6,X7,X8))
| ~ is_the(X8,X6)
| ~ exemplifies_property(X7,X8)
| ~ property(X6)
| ~ property(X7)
| ~ object(X8) ) ),
inference(distribute,[status(thm)],[7]) ).
cnf(14,plain,
( is_the(X1,X3)
| ~ object(X1)
| ~ property(X2)
| ~ property(X3)
| ~ exemplifies_property(X2,X4)
| ~ exemplifies_property(X3,X4)
| ~ object(X4)
| esk2_4(X3,X2,X1,X4) != X4 ),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(16,plain,
( exemplifies_property(X3,esk2_4(X3,X2,X1,X4))
| is_the(X1,X3)
| ~ object(X1)
| ~ property(X2)
| ~ property(X3)
| ~ exemplifies_property(X2,X4)
| ~ exemplifies_property(X3,X4)
| ~ object(X4) ),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(18,plain,
( object(esk2_4(X3,X2,X1,X4))
| is_the(X1,X3)
| ~ object(X1)
| ~ property(X2)
| ~ property(X3)
| ~ exemplifies_property(X2,X4)
| ~ exemplifies_property(X3,X4)
| ~ object(X4) ),
inference(split_conjunct,[status(thm)],[8]) ).
fof(19,negated_conjecture,
? [X1] :
( property(X1)
& ? [X4] :
( object(X4)
& exemplifies_property(X1,X4)
& ! [X5] :
( ~ object(X5)
| ~ exemplifies_property(X1,X5)
| equal(X5,X4) ) )
& ! [X6] :
( ~ object(X6)
| ~ is_the(X6,X1) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(20,negated_conjecture,
? [X7] :
( property(X7)
& ? [X8] :
( object(X8)
& exemplifies_property(X7,X8)
& ! [X9] :
( ~ object(X9)
| ~ exemplifies_property(X7,X9)
| equal(X9,X8) ) )
& ! [X10] :
( ~ object(X10)
| ~ is_the(X10,X7) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,negated_conjecture,
( property(esk3_0)
& object(esk4_0)
& exemplifies_property(esk3_0,esk4_0)
& ! [X9] :
( ~ object(X9)
| ~ exemplifies_property(esk3_0,X9)
| equal(X9,esk4_0) )
& ! [X10] :
( ~ object(X10)
| ~ is_the(X10,esk3_0) ) ),
inference(skolemize,[status(esa)],[20]) ).
fof(22,negated_conjecture,
! [X9,X10] :
( ( ~ object(X10)
| ~ is_the(X10,esk3_0) )
& ( ~ object(X9)
| ~ exemplifies_property(esk3_0,X9)
| equal(X9,esk4_0) )
& object(esk4_0)
& exemplifies_property(esk3_0,esk4_0)
& property(esk3_0) ),
inference(shift_quantors,[status(thm)],[21]) ).
cnf(23,negated_conjecture,
property(esk3_0),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(24,negated_conjecture,
exemplifies_property(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(25,negated_conjecture,
object(esk4_0),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(26,negated_conjecture,
( X1 = esk4_0
| ~ exemplifies_property(esk3_0,X1)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(27,negated_conjecture,
( ~ is_the(X1,esk3_0)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(35,negated_conjecture,
( esk4_0 = esk2_4(X1,X2,X3,X4)
| is_the(X3,X1)
| ~ exemplifies_property(esk3_0,esk2_4(X1,X2,X3,X4))
| ~ exemplifies_property(X1,X4)
| ~ exemplifies_property(X2,X4)
| ~ object(X4)
| ~ object(X3)
| ~ property(X1)
| ~ property(X2) ),
inference(spm,[status(thm)],[26,18,theory(equality)]) ).
cnf(135,negated_conjecture,
( esk2_4(esk3_0,X1,X2,X3) = esk4_0
| is_the(X2,esk3_0)
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X1,X3)
| ~ object(X3)
| ~ object(X2)
| ~ property(esk3_0)
| ~ property(X1) ),
inference(spm,[status(thm)],[35,16,theory(equality)]) ).
cnf(137,negated_conjecture,
( esk2_4(esk3_0,X1,X2,X3) = esk4_0
| is_the(X2,esk3_0)
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X1,X3)
| ~ object(X3)
| ~ object(X2)
| $false
| ~ property(X1) ),
inference(rw,[status(thm)],[135,23,theory(equality)]) ).
cnf(138,negated_conjecture,
( esk2_4(esk3_0,X1,X2,X3) = esk4_0
| is_the(X2,esk3_0)
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X1,X3)
| ~ object(X3)
| ~ object(X2)
| ~ property(X1) ),
inference(cn,[status(thm)],[137,theory(equality)]) ).
cnf(141,negated_conjecture,
( esk2_4(esk3_0,X1,X2,X3) = esk4_0
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X1,X3)
| ~ object(X3)
| ~ object(X2)
| ~ property(X1) ),
inference(csr,[status(thm)],[138,27]) ).
cnf(144,negated_conjecture,
( is_the(X1,esk3_0)
| esk4_0 != X3
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X2,X3)
| ~ object(X3)
| ~ object(X1)
| ~ property(esk3_0)
| ~ property(X2) ),
inference(spm,[status(thm)],[14,141,theory(equality)]) ).
cnf(154,negated_conjecture,
( is_the(X1,esk3_0)
| esk4_0 != X3
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X2,X3)
| ~ object(X3)
| ~ object(X1)
| $false
| ~ property(X2) ),
inference(rw,[status(thm)],[144,23,theory(equality)]) ).
cnf(155,negated_conjecture,
( is_the(X1,esk3_0)
| esk4_0 != X3
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X2,X3)
| ~ object(X3)
| ~ object(X1)
| ~ property(X2) ),
inference(cn,[status(thm)],[154,theory(equality)]) ).
cnf(164,negated_conjecture,
( is_the(X1,esk3_0)
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X2,X3)
| ~ object(X3)
| ~ object(X1)
| ~ property(X2) ),
inference(csr,[status(thm)],[155,26]) ).
cnf(165,negated_conjecture,
( ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X2,X3)
| ~ object(X3)
| ~ object(X1)
| ~ property(X2) ),
inference(csr,[status(thm)],[164,27]) ).
fof(166,plain,
( ~ epred1_0
<=> ! [X2,X3] :
( ~ property(X2)
| ~ object(X3)
| ~ exemplifies_property(X2,X3)
| ~ exemplifies_property(esk3_0,X3) ) ),
introduced(definition),
[split] ).
cnf(167,plain,
( epred1_0
| ~ property(X2)
| ~ object(X3)
| ~ exemplifies_property(X2,X3)
| ~ exemplifies_property(esk3_0,X3) ),
inference(split_equiv,[status(thm)],[166]) ).
fof(168,plain,
( ~ epred2_0
<=> ! [X1] : ~ object(X1) ),
introduced(definition),
[split] ).
cnf(169,plain,
( epred2_0
| ~ object(X1) ),
inference(split_equiv,[status(thm)],[168]) ).
cnf(170,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[165,166,theory(equality)]),168,theory(equality)]),
[split] ).
cnf(171,negated_conjecture,
epred2_0,
inference(spm,[status(thm)],[169,25,theory(equality)]) ).
cnf(176,negated_conjecture,
( epred1_0
| ~ exemplifies_property(esk3_0,esk4_0)
| ~ object(esk4_0)
| ~ property(esk3_0) ),
inference(spm,[status(thm)],[167,24,theory(equality)]) ).
cnf(181,negated_conjecture,
( epred1_0
| $false
| ~ object(esk4_0)
| ~ property(esk3_0) ),
inference(rw,[status(thm)],[176,24,theory(equality)]) ).
cnf(182,negated_conjecture,
( epred1_0
| $false
| $false
| ~ property(esk3_0) ),
inference(rw,[status(thm)],[181,25,theory(equality)]) ).
cnf(183,negated_conjecture,
( epred1_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[182,23,theory(equality)]) ).
cnf(184,negated_conjecture,
epred1_0,
inference(cn,[status(thm)],[183,theory(equality)]) ).
cnf(196,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[170,171,theory(equality)]) ).
cnf(197,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[196,184,theory(equality)]) ).
cnf(198,negated_conjecture,
$false,
inference(cn,[status(thm)],[197,theory(equality)]) ).
cnf(199,negated_conjecture,
$false,
198,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI009+1 : TPTP v7.2.0. Released v7.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n046.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Tue May 29 10:59:29 CDT 2018
% 0.03/0.24 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.35 -running prover on /export/starexec/sandbox/tmp/tmpPmM6ex/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.35 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpPmM6ex/sel_theBenchmark.p_1']
% 0.07/0.35 -prover status Theorem
% 0.07/0.35 Problem theBenchmark.p solved in phase 0.
% 0.07/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 Solved 1 out of 1.
% 0.07/0.35 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.35 # SZS status Theorem
% 0.07/0.35 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.35 # SZS output end CNFRefutation
%------------------------------------------------------------------------------