TSTP Solution File: MGT057+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT057+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 21:08:38 EST 2010
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 64 ( 16 unt; 0 def)
% Number of atoms : 256 ( 27 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 292 ( 100 ~; 105 |; 74 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 57 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/tmp/tmpyr1HDm/sel_MGT057+1.p_1',definition_smaller_or_equal) ).
fof(4,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/tmp/tmpyr1HDm/sel_MGT057+1.p_1',definition_smaller) ).
fof(6,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& has_immunity(X1,X4)
& has_immunity(X1,X5) )
=> hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ),
file('/tmp/tmpyr1HDm/sel_MGT057+1.p_1',assumption_2) ).
fof(7,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
file('/tmp/tmpyr1HDm/sel_MGT057+1.p_1',assumption_3) ).
fof(8,conjecture,
! [X1,X4,X6,X7] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X4) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X4) ) ),
file('/tmp/tmpyr1HDm/sel_MGT057+1.p_1',theorem_6) ).
fof(9,axiom,
! [X1] :
( has_endowment(X1)
<=> ! [X5] :
( organization(X1)
& ( smaller_or_equal(age(X1,X5),eta)
=> has_immunity(X1,X5) )
& ( greater(age(X1,X5),eta)
=> ~ has_immunity(X1,X5) ) ) ),
file('/tmp/tmpyr1HDm/sel_MGT057+1.p_1',definition_1) ).
fof(10,negated_conjecture,
~ ! [X1,X4,X6,X7] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X4) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X4) ) ),
inference(assume_negation,[status(cth)],[8]) ).
fof(11,plain,
! [X1,X4,X5] :
( ( organization(X1)
& has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(12,plain,
! [X1] :
( has_endowment(X1)
<=> ! [X5] :
( organization(X1)
& ( smaller_or_equal(age(X1,X5),eta)
=> has_immunity(X1,X5) )
& ( greater(age(X1,X5),eta)
=> ~ has_immunity(X1,X5) ) ) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(13,plain,
! [X1,X2] :
( ( ~ smaller_or_equal(X1,X2)
| smaller(X1,X2)
| X1 = X2 )
& ( ( ~ smaller(X1,X2)
& X1 != X2 )
| smaller_or_equal(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(14,plain,
! [X3,X4] :
( ( ~ smaller_or_equal(X3,X4)
| smaller(X3,X4)
| X3 = X4 )
& ( ( ~ smaller(X3,X4)
& X3 != X4 )
| smaller_or_equal(X3,X4) ) ),
inference(variable_rename,[status(thm)],[13]) ).
fof(15,plain,
! [X3,X4] :
( ( ~ smaller_or_equal(X3,X4)
| smaller(X3,X4)
| X3 = X4 )
& ( ~ smaller(X3,X4)
| smaller_or_equal(X3,X4) )
& ( X3 != X4
| smaller_or_equal(X3,X4) ) ),
inference(distribute,[status(thm)],[14]) ).
cnf(17,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
fof(25,plain,
! [X1,X2] :
( ( ~ smaller(X1,X2)
| greater(X2,X1) )
& ( ~ greater(X2,X1)
| smaller(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(26,plain,
! [X3,X4] :
( ( ~ smaller(X3,X4)
| greater(X4,X3) )
& ( ~ greater(X4,X3)
| smaller(X3,X4) ) ),
inference(variable_rename,[status(thm)],[25]) ).
cnf(27,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(31,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| ~ has_immunity(X1,X4)
| ~ has_immunity(X1,X5)
| hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(32,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| ~ has_immunity(X6,X7)
| ~ has_immunity(X6,X8)
| hazard_of_mortality(X6,X7) = hazard_of_mortality(X6,X8) ),
inference(variable_rename,[status(thm)],[31]) ).
cnf(33,plain,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ has_immunity(X1,X3)
| ~ has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| ~ has_immunity(X1,X4)
| has_immunity(X1,X5)
| greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(35,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| ~ has_immunity(X6,X7)
| has_immunity(X6,X8)
| greater(hazard_of_mortality(X6,X8),hazard_of_mortality(X6,X7)) ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,plain,
( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| has_immunity(X1,X2)
| ~ has_immunity(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(37,negated_conjecture,
? [X1,X4,X6,X7] :
( organization(X1)
& has_endowment(X1)
& age(X1,X4) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
| hazard_of_mortality(X1,X6) != hazard_of_mortality(X1,X4) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(38,negated_conjecture,
? [X8,X9,X10,X11] :
( organization(X8)
& has_endowment(X8)
& age(X8,X9) = zero
& smaller_or_equal(age(X8,X10),eta)
& greater(age(X8,X11),eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(X8,X11),hazard_of_mortality(X8,X10))
| hazard_of_mortality(X8,X10) != hazard_of_mortality(X8,X9) ) ),
inference(variable_rename,[status(thm)],[37]) ).
fof(39,negated_conjecture,
( organization(esk1_0)
& has_endowment(esk1_0)
& age(esk1_0,esk2_0) = zero
& smaller_or_equal(age(esk1_0,esk3_0),eta)
& greater(age(esk1_0,esk4_0),eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0))
| hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[38]) ).
cnf(40,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0)
| ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(41,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(42,negated_conjecture,
greater(age(esk1_0,esk4_0),eta),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(43,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),eta),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(44,negated_conjecture,
age(esk1_0,esk2_0) = zero,
inference(split_conjunct,[status(thm)],[39]) ).
cnf(45,negated_conjecture,
has_endowment(esk1_0),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(46,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[39]) ).
fof(47,plain,
! [X1] :
( ( ~ has_endowment(X1)
| ! [X5] :
( organization(X1)
& ( ~ smaller_or_equal(age(X1,X5),eta)
| has_immunity(X1,X5) )
& ( ~ greater(age(X1,X5),eta)
| ~ has_immunity(X1,X5) ) ) )
& ( ? [X5] :
( ~ organization(X1)
| ( smaller_or_equal(age(X1,X5),eta)
& ~ has_immunity(X1,X5) )
| ( greater(age(X1,X5),eta)
& has_immunity(X1,X5) ) )
| has_endowment(X1) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(48,plain,
! [X6] :
( ( ~ has_endowment(X6)
| ! [X7] :
( organization(X6)
& ( ~ smaller_or_equal(age(X6,X7),eta)
| has_immunity(X6,X7) )
& ( ~ greater(age(X6,X7),eta)
| ~ has_immunity(X6,X7) ) ) )
& ( ? [X8] :
( ~ organization(X6)
| ( smaller_or_equal(age(X6,X8),eta)
& ~ has_immunity(X6,X8) )
| ( greater(age(X6,X8),eta)
& has_immunity(X6,X8) ) )
| has_endowment(X6) ) ),
inference(variable_rename,[status(thm)],[47]) ).
fof(49,plain,
! [X6] :
( ( ~ has_endowment(X6)
| ! [X7] :
( organization(X6)
& ( ~ smaller_or_equal(age(X6,X7),eta)
| has_immunity(X6,X7) )
& ( ~ greater(age(X6,X7),eta)
| ~ has_immunity(X6,X7) ) ) )
& ( ~ organization(X6)
| ( smaller_or_equal(age(X6,esk5_1(X6)),eta)
& ~ has_immunity(X6,esk5_1(X6)) )
| ( greater(age(X6,esk5_1(X6)),eta)
& has_immunity(X6,esk5_1(X6)) )
| has_endowment(X6) ) ),
inference(skolemize,[status(esa)],[48]) ).
fof(50,plain,
! [X6,X7] :
( ( ( organization(X6)
& ( ~ smaller_or_equal(age(X6,X7),eta)
| has_immunity(X6,X7) )
& ( ~ greater(age(X6,X7),eta)
| ~ has_immunity(X6,X7) ) )
| ~ has_endowment(X6) )
& ( ~ organization(X6)
| ( smaller_or_equal(age(X6,esk5_1(X6)),eta)
& ~ has_immunity(X6,esk5_1(X6)) )
| ( greater(age(X6,esk5_1(X6)),eta)
& has_immunity(X6,esk5_1(X6)) )
| has_endowment(X6) ) ),
inference(shift_quantors,[status(thm)],[49]) ).
fof(51,plain,
! [X6,X7] :
( ( organization(X6)
| ~ has_endowment(X6) )
& ( ~ smaller_or_equal(age(X6,X7),eta)
| has_immunity(X6,X7)
| ~ has_endowment(X6) )
& ( ~ greater(age(X6,X7),eta)
| ~ has_immunity(X6,X7)
| ~ has_endowment(X6) )
& ( greater(age(X6,esk5_1(X6)),eta)
| smaller_or_equal(age(X6,esk5_1(X6)),eta)
| ~ organization(X6)
| has_endowment(X6) )
& ( has_immunity(X6,esk5_1(X6))
| smaller_or_equal(age(X6,esk5_1(X6)),eta)
| ~ organization(X6)
| has_endowment(X6) )
& ( greater(age(X6,esk5_1(X6)),eta)
| ~ has_immunity(X6,esk5_1(X6))
| ~ organization(X6)
| has_endowment(X6) )
& ( has_immunity(X6,esk5_1(X6))
| ~ has_immunity(X6,esk5_1(X6))
| ~ organization(X6)
| has_endowment(X6) ) ),
inference(distribute,[status(thm)],[50]) ).
cnf(56,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(57,plain,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(65,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[27,41,theory(equality)]) ).
cnf(71,negated_conjecture,
( has_immunity(esk1_0,esk2_0)
| ~ has_endowment(esk1_0)
| ~ smaller_or_equal(zero,eta) ),
inference(spm,[status(thm)],[57,44,theory(equality)]) ).
cnf(72,negated_conjecture,
( has_immunity(esk1_0,esk3_0)
| ~ has_endowment(esk1_0) ),
inference(spm,[status(thm)],[57,43,theory(equality)]) ).
cnf(73,negated_conjecture,
( has_immunity(esk1_0,esk2_0)
| $false
| ~ smaller_or_equal(zero,eta) ),
inference(rw,[status(thm)],[71,45,theory(equality)]) ).
cnf(74,negated_conjecture,
( has_immunity(esk1_0,esk2_0)
| ~ smaller_or_equal(zero,eta) ),
inference(cn,[status(thm)],[73,theory(equality)]) ).
cnf(75,negated_conjecture,
( has_immunity(esk1_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[72,45,theory(equality)]) ).
cnf(76,negated_conjecture,
has_immunity(esk1_0,esk3_0),
inference(cn,[status(thm)],[75,theory(equality)]) ).
cnf(78,negated_conjecture,
( ~ has_endowment(esk1_0)
| ~ has_immunity(esk1_0,esk4_0) ),
inference(spm,[status(thm)],[56,42,theory(equality)]) ).
cnf(81,negated_conjecture,
( $false
| ~ has_immunity(esk1_0,esk4_0) ),
inference(rw,[status(thm)],[78,45,theory(equality)]) ).
cnf(82,negated_conjecture,
~ has_immunity(esk1_0,esk4_0),
inference(cn,[status(thm)],[81,theory(equality)]) ).
cnf(87,negated_conjecture,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[17,65,theory(equality)]) ).
cnf(92,negated_conjecture,
( hazard_of_mortality(esk1_0,X1) = hazard_of_mortality(esk1_0,esk3_0)
| ~ has_immunity(esk1_0,X1)
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[33,76,theory(equality)]) ).
cnf(93,negated_conjecture,
( has_immunity(esk1_0,X1)
| greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,esk3_0))
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[36,76,theory(equality)]) ).
cnf(94,negated_conjecture,
( hazard_of_mortality(esk1_0,X1) = hazard_of_mortality(esk1_0,esk3_0)
| ~ has_immunity(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[92,46,theory(equality)]) ).
cnf(95,negated_conjecture,
( hazard_of_mortality(esk1_0,X1) = hazard_of_mortality(esk1_0,esk3_0)
| ~ has_immunity(esk1_0,X1) ),
inference(cn,[status(thm)],[94,theory(equality)]) ).
cnf(96,negated_conjecture,
( has_immunity(esk1_0,X1)
| greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[93,46,theory(equality)]) ).
cnf(97,negated_conjecture,
( has_immunity(esk1_0,X1)
| greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[96,theory(equality)]) ).
cnf(103,negated_conjecture,
( has_immunity(esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[74,87,theory(equality)]) ).
cnf(104,negated_conjecture,
has_immunity(esk1_0,esk2_0),
inference(cn,[status(thm)],[103,theory(equality)]) ).
cnf(202,negated_conjecture,
hazard_of_mortality(esk1_0,esk2_0) = hazard_of_mortality(esk1_0,esk3_0),
inference(spm,[status(thm)],[95,104,theory(equality)]) ).
cnf(210,negated_conjecture,
( $false
| ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(rw,[status(thm)],[40,202,theory(equality)]) ).
cnf(211,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)),
inference(cn,[status(thm)],[210,theory(equality)]) ).
cnf(219,negated_conjecture,
has_immunity(esk1_0,esk4_0),
inference(spm,[status(thm)],[211,97,theory(equality)]) ).
cnf(220,negated_conjecture,
$false,
inference(sr,[status(thm)],[219,82,theory(equality)]) ).
cnf(221,negated_conjecture,
$false,
220,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT057+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmpyr1HDm/sel_MGT057+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT057+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT057+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT057+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
%
%------------------------------------------------------------------------------