TSTP Solution File: MGT062+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT062+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 21:09:03 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 143 ( 30 unt; 0 def)
% Number of atoms : 563 ( 96 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 653 ( 233 ~; 238 |; 142 &)
% ( 7 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 177 ( 7 sgn 104 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',definition_smaller_or_equal) ).
fof(2,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',meaning_postulate_greater_strict) ).
fof(4,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',definition_smaller) ).
fof(6,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',assumption_1) ).
fof(7,axiom,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) )
& ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) ) ) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',definition_4) ).
fof(8,axiom,
! [X1,X5,X4] :
( dissimilar(X1,X5,X4)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X5)
<=> is_aligned(X1,X4) ) ) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',definition_2) ).
fof(9,axiom,
greater(mod2,mod1),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',assumption_19) ).
fof(10,axiom,
! [X1,X4] :
( ( organization(X1)
& age(X1,X4) = zero )
=> is_aligned(X1,X4) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',assumption_13) ).
fof(11,conjecture,
! [X1,X5,X6,X7] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',theorem_8) ).
fof(12,axiom,
! [X1,X4] :
( organization(X1)
=> ( ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low )
& ( ~ has_immunity(X1,X4)
=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ) ) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',assumption_17) ).
fof(13,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& age(X1,X5) = zero )
=> ( greater(age(X1,X4),sigma)
<=> dissimilar(X1,X5,X4) ) ),
file('/tmp/tmpEkfwKP/sel_MGT062+1.p_1',assumption_15) ).
fof(14,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(15,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(16,plain,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) )
& ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(17,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(18,plain,
! [X1,X4] :
( organization(X1)
=> ( ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low )
& ( ~ has_immunity(X1,X4)
=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(19,plain,
! [X4,X1] :
( epred1_2(X1,X4)
=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ),
introduced(definition) ).
fof(20,plain,
! [X1,X4] :
( organization(X1)
=> ( ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low )
& ( ~ has_immunity(X1,X4)
=> epred1_2(X1,X4) ) ) ),
inference(apply_def,[status(esa)],[18,19,theory(equality)]) ).
fof(21,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(22,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)],[21]) ).
fof(23,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)],[22]) ).
cnf(25,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(26,plain,
( X1 = X2
| smaller(X1,X2)
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(27,plain,
! [X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(28,plain,
! [X3,X4] :
( ~ greater(X3,X4)
| ~ greater(X4,X3) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(33,plain,
! [X1,X2] :
( ( ~ smaller(X1,X2)
| greater(X2,X1) )
& ( ~ greater(X2,X1)
| smaller(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(34,plain,
! [X3,X4] :
( ( ~ smaller(X3,X4)
| greater(X4,X3) )
& ( ~ greater(X4,X3)
| smaller(X3,X4) ) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(35,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(36,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(39,plain,
! [X1,X4] :
( ~ organization(X1)
| has_endowment(X1)
| ~ has_immunity(X1,X4) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(40,plain,
! [X5,X6] :
( ~ organization(X5)
| has_endowment(X5)
| ~ has_immunity(X5,X6) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X1] :
( ( ~ robust_position(X1)
| ! [X4] :
( ( ~ smaller_or_equal(age(X1,X4),tau)
| ~ positional_advantage(X1,X4) )
& ( ~ greater(age(X1,X4),tau)
| positional_advantage(X1,X4) ) ) )
& ( ? [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
& positional_advantage(X1,X4) )
| ( greater(age(X1,X4),tau)
& ~ positional_advantage(X1,X4) ) )
| robust_position(X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(43,plain,
! [X5] :
( ( ~ robust_position(X5)
| ! [X6] :
( ( ~ smaller_or_equal(age(X5,X6),tau)
| ~ positional_advantage(X5,X6) )
& ( ~ greater(age(X5,X6),tau)
| positional_advantage(X5,X6) ) ) )
& ( ? [X7] :
( ( smaller_or_equal(age(X5,X7),tau)
& positional_advantage(X5,X7) )
| ( greater(age(X5,X7),tau)
& ~ positional_advantage(X5,X7) ) )
| robust_position(X5) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X5] :
( ( ~ robust_position(X5)
| ! [X6] :
( ( ~ smaller_or_equal(age(X5,X6),tau)
| ~ positional_advantage(X5,X6) )
& ( ~ greater(age(X5,X6),tau)
| positional_advantage(X5,X6) ) ) )
& ( ( smaller_or_equal(age(X5,esk1_1(X5)),tau)
& positional_advantage(X5,esk1_1(X5)) )
| ( greater(age(X5,esk1_1(X5)),tau)
& ~ positional_advantage(X5,esk1_1(X5)) )
| robust_position(X5) ) ),
inference(skolemize,[status(esa)],[43]) ).
fof(45,plain,
! [X5,X6] :
( ( ( ( ~ smaller_or_equal(age(X5,X6),tau)
| ~ positional_advantage(X5,X6) )
& ( ~ greater(age(X5,X6),tau)
| positional_advantage(X5,X6) ) )
| ~ robust_position(X5) )
& ( ( smaller_or_equal(age(X5,esk1_1(X5)),tau)
& positional_advantage(X5,esk1_1(X5)) )
| ( greater(age(X5,esk1_1(X5)),tau)
& ~ positional_advantage(X5,esk1_1(X5)) )
| robust_position(X5) ) ),
inference(shift_quantors,[status(thm)],[44]) ).
fof(46,plain,
! [X5,X6] :
( ( ~ smaller_or_equal(age(X5,X6),tau)
| ~ positional_advantage(X5,X6)
| ~ robust_position(X5) )
& ( ~ greater(age(X5,X6),tau)
| positional_advantage(X5,X6)
| ~ robust_position(X5) )
& ( greater(age(X5,esk1_1(X5)),tau)
| smaller_or_equal(age(X5,esk1_1(X5)),tau)
| robust_position(X5) )
& ( ~ positional_advantage(X5,esk1_1(X5))
| smaller_or_equal(age(X5,esk1_1(X5)),tau)
| robust_position(X5) )
& ( greater(age(X5,esk1_1(X5)),tau)
| positional_advantage(X5,esk1_1(X5))
| robust_position(X5) )
& ( ~ positional_advantage(X5,esk1_1(X5))
| positional_advantage(X5,esk1_1(X5))
| robust_position(X5) ) ),
inference(distribute,[status(thm)],[45]) ).
cnf(51,plain,
( positional_advantage(X1,X2)
| ~ robust_position(X1)
| ~ greater(age(X1,X2),tau) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(52,plain,
( ~ robust_position(X1)
| ~ positional_advantage(X1,X2)
| ~ smaller_or_equal(age(X1,X2),tau) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(53,plain,
! [X1,X5,X4] :
( ( ~ dissimilar(X1,X5,X4)
| ( organization(X1)
& ( ~ is_aligned(X1,X5)
| ~ is_aligned(X1,X4) )
& ( is_aligned(X1,X5)
| is_aligned(X1,X4) ) ) )
& ( ~ organization(X1)
| ( ( ~ is_aligned(X1,X5)
| is_aligned(X1,X4) )
& ( ~ is_aligned(X1,X4)
| is_aligned(X1,X5) ) )
| dissimilar(X1,X5,X4) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(54,plain,
! [X6,X7,X8] :
( ( ~ dissimilar(X6,X7,X8)
| ( organization(X6)
& ( ~ is_aligned(X6,X7)
| ~ is_aligned(X6,X8) )
& ( is_aligned(X6,X7)
| is_aligned(X6,X8) ) ) )
& ( ~ organization(X6)
| ( ( ~ is_aligned(X6,X7)
| is_aligned(X6,X8) )
& ( ~ is_aligned(X6,X8)
| is_aligned(X6,X7) ) )
| dissimilar(X6,X7,X8) ) ),
inference(variable_rename,[status(thm)],[53]) ).
fof(55,plain,
! [X6,X7,X8] :
( ( organization(X6)
| ~ dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X7)
| ~ is_aligned(X6,X8)
| ~ dissimilar(X6,X7,X8) )
& ( is_aligned(X6,X7)
| is_aligned(X6,X8)
| ~ dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X7)
| is_aligned(X6,X8)
| ~ organization(X6)
| dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X8)
| is_aligned(X6,X7)
| ~ organization(X6)
| dissimilar(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(57,plain,
( dissimilar(X1,X2,X3)
| is_aligned(X1,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(59,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(60,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(61,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[9]) ).
fof(62,plain,
! [X1,X4] :
( ~ organization(X1)
| age(X1,X4) != zero
| is_aligned(X1,X4) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(63,plain,
! [X5,X6] :
( ~ organization(X5)
| age(X5,X6) != zero
| is_aligned(X5,X6) ),
inference(variable_rename,[status(thm)],[62]) ).
cnf(64,plain,
( is_aligned(X1,X2)
| age(X1,X2) != zero
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(65,negated_conjecture,
? [X1,X5,X6,X7] :
( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& ( ~ smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
| hazard_of_mortality(X1,X6) != hazard_of_mortality(X1,X5) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(66,negated_conjecture,
? [X8,X9,X10,X11] :
( organization(X8)
& robust_position(X8)
& ~ has_endowment(X8)
& age(X8,X9) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X8,X10),sigma)
& greater(age(X8,X11),sigma)
& ( ~ smaller(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)],[65]) ).
fof(67,negated_conjecture,
( organization(esk2_0)
& robust_position(esk2_0)
& ~ has_endowment(esk2_0)
& age(esk2_0,esk3_0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(esk2_0,esk4_0),sigma)
& greater(age(esk2_0,esk5_0),sigma)
& ( ~ smaller(hazard_of_mortality(esk2_0,esk5_0),hazard_of_mortality(esk2_0,esk4_0))
| hazard_of_mortality(esk2_0,esk4_0) != hazard_of_mortality(esk2_0,esk3_0) ) ),
inference(skolemize,[status(esa)],[66]) ).
cnf(68,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) != hazard_of_mortality(esk2_0,esk3_0)
| ~ smaller(hazard_of_mortality(esk2_0,esk5_0),hazard_of_mortality(esk2_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(69,negated_conjecture,
greater(age(esk2_0,esk5_0),sigma),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(70,negated_conjecture,
smaller_or_equal(age(esk2_0,esk4_0),sigma),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(71,negated_conjecture,
sigma = tau,
inference(split_conjunct,[status(thm)],[67]) ).
cnf(72,negated_conjecture,
greater(tau,zero),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(74,negated_conjecture,
age(esk2_0,esk3_0) = zero,
inference(split_conjunct,[status(thm)],[67]) ).
cnf(75,negated_conjecture,
~ has_endowment(esk2_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(76,negated_conjecture,
robust_position(esk2_0),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(77,negated_conjecture,
organization(esk2_0),
inference(split_conjunct,[status(thm)],[67]) ).
fof(78,plain,
! [X1,X4] :
( ~ organization(X1)
| ( ( ~ has_immunity(X1,X4)
| hazard_of_mortality(X1,X4) = very_low )
& ( has_immunity(X1,X4)
| epred1_2(X1,X4) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(79,plain,
! [X5,X6] :
( ~ organization(X5)
| ( ( ~ has_immunity(X5,X6)
| hazard_of_mortality(X5,X6) = very_low )
& ( has_immunity(X5,X6)
| epred1_2(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[78]) ).
fof(80,plain,
! [X5,X6] :
( ( ~ has_immunity(X5,X6)
| hazard_of_mortality(X5,X6) = very_low
| ~ organization(X5) )
& ( has_immunity(X5,X6)
| epred1_2(X5,X6)
| ~ organization(X5) ) ),
inference(distribute,[status(thm)],[79]) ).
cnf(81,plain,
( epred1_2(X1,X2)
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(83,plain,
! [X1,X5,X4] :
( ~ organization(X1)
| age(X1,X5) != zero
| ( ( ~ greater(age(X1,X4),sigma)
| dissimilar(X1,X5,X4) )
& ( ~ dissimilar(X1,X5,X4)
| greater(age(X1,X4),sigma) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(84,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| age(X6,X7) != zero
| ( ( ~ greater(age(X6,X8),sigma)
| dissimilar(X6,X7,X8) )
& ( ~ dissimilar(X6,X7,X8)
| greater(age(X6,X8),sigma) ) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X6,X7,X8] :
( ( ~ greater(age(X6,X8),sigma)
| dissimilar(X6,X7,X8)
| ~ organization(X6)
| age(X6,X7) != zero )
& ( ~ dissimilar(X6,X7,X8)
| greater(age(X6,X8),sigma)
| ~ organization(X6)
| age(X6,X7) != zero ) ),
inference(distribute,[status(thm)],[84]) ).
cnf(86,plain,
( greater(age(X1,X3),sigma)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(87,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(88,plain,
! [X4,X1] :
( ~ epred1_2(X1,X4)
| ( ( ~ is_aligned(X1,X4)
| ~ positional_advantage(X1,X4)
| hazard_of_mortality(X1,X4) = low )
& ( is_aligned(X1,X4)
| ~ positional_advantage(X1,X4)
| hazard_of_mortality(X1,X4) = mod1 )
& ( ~ is_aligned(X1,X4)
| positional_advantage(X1,X4)
| hazard_of_mortality(X1,X4) = mod2 )
& ( is_aligned(X1,X4)
| positional_advantage(X1,X4)
| hazard_of_mortality(X1,X4) = high ) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(89,plain,
! [X5,X6] :
( ~ epred1_2(X6,X5)
| ( ( ~ is_aligned(X6,X5)
| ~ positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = low )
& ( is_aligned(X6,X5)
| ~ positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = mod1 )
& ( ~ is_aligned(X6,X5)
| positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = mod2 )
& ( is_aligned(X6,X5)
| positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = high ) ) ),
inference(variable_rename,[status(thm)],[88]) ).
fof(90,plain,
! [X5,X6] :
( ( ~ is_aligned(X6,X5)
| ~ positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = low
| ~ epred1_2(X6,X5) )
& ( is_aligned(X6,X5)
| ~ positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = mod1
| ~ epred1_2(X6,X5) )
& ( ~ is_aligned(X6,X5)
| positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = mod2
| ~ epred1_2(X6,X5) )
& ( is_aligned(X6,X5)
| positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = high
| ~ epred1_2(X6,X5) ) ),
inference(distribute,[status(thm)],[89]) ).
cnf(92,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| ~ epred1_2(X1,X2)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(93,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| ~ epred1_2(X1,X2)
| ~ positional_advantage(X1,X2) ),
inference(split_conjunct,[status(thm)],[90]) ).
cnf(97,negated_conjecture,
smaller_or_equal(age(esk2_0,esk4_0),tau),
inference(rw,[status(thm)],[70,71,theory(equality)]) ).
cnf(98,negated_conjecture,
greater(age(esk2_0,esk5_0),tau),
inference(rw,[status(thm)],[69,71,theory(equality)]) ).
cnf(99,negated_conjecture,
smaller(zero,tau),
inference(spm,[status(thm)],[35,72,theory(equality)]) ).
cnf(100,plain,
smaller(mod1,mod2),
inference(spm,[status(thm)],[35,61,theory(equality)]) ).
cnf(107,negated_conjecture,
( age(esk2_0,esk4_0) = tau
| smaller(age(esk2_0,esk4_0),tau) ),
inference(spm,[status(thm)],[26,97,theory(equality)]) ).
cnf(111,negated_conjecture,
( is_aligned(esk2_0,esk3_0)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[64,74,theory(equality)]) ).
cnf(112,negated_conjecture,
( is_aligned(esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[111,77,theory(equality)]) ).
cnf(113,negated_conjecture,
is_aligned(esk2_0,esk3_0),
inference(cn,[status(thm)],[112,theory(equality)]) ).
cnf(114,plain,
( has_endowment(X1)
| epred1_2(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[41,81,theory(equality)]) ).
cnf(116,negated_conjecture,
( positional_advantage(esk2_0,esk5_0)
| ~ robust_position(esk2_0) ),
inference(spm,[status(thm)],[51,98,theory(equality)]) ).
cnf(119,negated_conjecture,
( positional_advantage(esk2_0,esk5_0)
| $false ),
inference(rw,[status(thm)],[116,76,theory(equality)]) ).
cnf(120,negated_conjecture,
positional_advantage(esk2_0,esk5_0),
inference(cn,[status(thm)],[119,theory(equality)]) ).
cnf(122,negated_conjecture,
( ~ positional_advantage(esk2_0,esk3_0)
| ~ robust_position(esk2_0)
| ~ smaller_or_equal(zero,tau) ),
inference(spm,[status(thm)],[52,74,theory(equality)]) ).
cnf(123,negated_conjecture,
( ~ positional_advantage(esk2_0,esk4_0)
| ~ robust_position(esk2_0) ),
inference(spm,[status(thm)],[52,97,theory(equality)]) ).
cnf(124,negated_conjecture,
( ~ positional_advantage(esk2_0,esk3_0)
| $false
| ~ smaller_or_equal(zero,tau) ),
inference(rw,[status(thm)],[122,76,theory(equality)]) ).
cnf(125,negated_conjecture,
( ~ positional_advantage(esk2_0,esk3_0)
| ~ smaller_or_equal(zero,tau) ),
inference(cn,[status(thm)],[124,theory(equality)]) ).
cnf(126,negated_conjecture,
( ~ positional_advantage(esk2_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[123,76,theory(equality)]) ).
cnf(127,negated_conjecture,
~ positional_advantage(esk2_0,esk4_0),
inference(cn,[status(thm)],[126,theory(equality)]) ).
cnf(131,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),tau) ),
inference(rw,[status(thm)],[87,71,theory(equality)]) ).
cnf(132,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| ~ organization(esk2_0)
| ~ greater(age(esk2_0,X1),tau) ),
inference(spm,[status(thm)],[131,74,theory(equality)]) ).
cnf(133,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| $false
| ~ greater(age(esk2_0,X1),tau) ),
inference(rw,[status(thm)],[132,77,theory(equality)]) ).
cnf(134,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| ~ greater(age(esk2_0,X1),tau) ),
inference(cn,[status(thm)],[133,theory(equality)]) ).
cnf(135,plain,
( greater(age(X1,X3),tau)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(rw,[status(thm)],[86,71,theory(equality)]) ).
cnf(136,plain,
( greater(age(X1,X3),tau)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
inference(csr,[status(thm)],[135,60]) ).
cnf(137,negated_conjecture,
( greater(age(esk2_0,X1),tau)
| ~ dissimilar(esk2_0,esk3_0,X1) ),
inference(spm,[status(thm)],[136,74,theory(equality)]) ).
cnf(138,negated_conjecture,
smaller_or_equal(zero,tau),
inference(spm,[status(thm)],[25,99,theory(equality)]) ).
cnf(143,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[57,113,theory(equality)]) ).
cnf(145,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1)
| $false ),
inference(rw,[status(thm)],[143,77,theory(equality)]) ).
cnf(146,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1) ),
inference(cn,[status(thm)],[145,theory(equality)]) ).
cnf(152,negated_conjecture,
( ~ positional_advantage(esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[125,138,theory(equality)]) ).
cnf(153,negated_conjecture,
~ positional_advantage(esk2_0,esk3_0),
inference(cn,[status(thm)],[152,theory(equality)]) ).
cnf(178,negated_conjecture,
( greater(tau,age(esk2_0,esk4_0))
| age(esk2_0,esk4_0) = tau ),
inference(spm,[status(thm)],[36,107,theory(equality)]) ).
cnf(209,negated_conjecture,
( age(esk2_0,esk4_0) = tau
| ~ greater(age(esk2_0,esk4_0),tau) ),
inference(spm,[status(thm)],[29,178,theory(equality)]) ).
cnf(212,negated_conjecture,
( epred1_2(esk2_0,X1)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[75,114,theory(equality)]) ).
cnf(217,negated_conjecture,
( epred1_2(esk2_0,X1)
| $false ),
inference(rw,[status(thm)],[212,77,theory(equality)]) ).
cnf(218,negated_conjecture,
epred1_2(esk2_0,X1),
inference(cn,[status(thm)],[217,theory(equality)]) ).
cnf(222,negated_conjecture,
( hazard_of_mortality(esk2_0,X1) = mod2
| positional_advantage(esk2_0,X1)
| ~ is_aligned(esk2_0,X1) ),
inference(spm,[status(thm)],[92,218,theory(equality)]) ).
cnf(223,negated_conjecture,
( hazard_of_mortality(esk2_0,X1) = mod1
| is_aligned(esk2_0,X1)
| ~ positional_advantage(esk2_0,X1) ),
inference(spm,[status(thm)],[93,218,theory(equality)]) ).
cnf(253,negated_conjecture,
( hazard_of_mortality(esk2_0,esk3_0) = mod2
| positional_advantage(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[222,113,theory(equality)]) ).
cnf(254,negated_conjecture,
hazard_of_mortality(esk2_0,esk3_0) = mod2,
inference(sr,[status(thm)],[253,153,theory(equality)]) ).
cnf(255,negated_conjecture,
( mod2 != hazard_of_mortality(esk2_0,esk4_0)
| ~ smaller(hazard_of_mortality(esk2_0,esk5_0),hazard_of_mortality(esk2_0,esk4_0)) ),
inference(rw,[status(thm)],[68,254,theory(equality)]) ).
cnf(259,negated_conjecture,
( hazard_of_mortality(esk2_0,esk5_0) = mod1
| is_aligned(esk2_0,esk5_0) ),
inference(spm,[status(thm)],[223,120,theory(equality)]) ).
cnf(288,negated_conjecture,
dissimilar(esk2_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[134,98,theory(equality)]) ).
cnf(291,negated_conjecture,
( greater(age(esk2_0,X1),tau)
| is_aligned(esk2_0,X1) ),
inference(spm,[status(thm)],[137,146,theory(equality)]) ).
cnf(320,negated_conjecture,
( ~ is_aligned(esk2_0,esk5_0)
| ~ is_aligned(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[59,288,theory(equality)]) ).
cnf(324,negated_conjecture,
( ~ is_aligned(esk2_0,esk5_0)
| $false ),
inference(rw,[status(thm)],[320,113,theory(equality)]) ).
cnf(325,negated_conjecture,
~ is_aligned(esk2_0,esk5_0),
inference(cn,[status(thm)],[324,theory(equality)]) ).
cnf(327,negated_conjecture,
hazard_of_mortality(esk2_0,esk5_0) = mod1,
inference(sr,[status(thm)],[259,325,theory(equality)]) ).
cnf(331,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) != mod2
| ~ smaller(mod1,hazard_of_mortality(esk2_0,esk4_0)) ),
inference(rw,[status(thm)],[255,327,theory(equality)]) ).
cnf(345,negated_conjecture,
( age(esk2_0,esk4_0) = tau
| is_aligned(esk2_0,esk4_0) ),
inference(spm,[status(thm)],[209,291,theory(equality)]) ).
cnf(352,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) = mod2
| positional_advantage(esk2_0,esk4_0)
| age(esk2_0,esk4_0) = tau ),
inference(spm,[status(thm)],[222,345,theory(equality)]) ).
cnf(358,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) = mod2
| age(esk2_0,esk4_0) = tau ),
inference(sr,[status(thm)],[352,127,theory(equality)]) ).
cnf(362,negated_conjecture,
( age(esk2_0,esk4_0) = tau
| ~ smaller(mod1,mod2) ),
inference(spm,[status(thm)],[331,358,theory(equality)]) ).
cnf(363,negated_conjecture,
( age(esk2_0,esk4_0) = tau
| $false ),
inference(rw,[status(thm)],[362,100,theory(equality)]) ).
cnf(364,negated_conjecture,
age(esk2_0,esk4_0) = tau,
inference(cn,[status(thm)],[363,theory(equality)]) ).
cnf(366,negated_conjecture,
( positional_advantage(esk2_0,esk4_0)
| ~ robust_position(esk2_0)
| ~ greater(tau,tau) ),
inference(spm,[status(thm)],[51,364,theory(equality)]) ).
cnf(371,negated_conjecture,
( is_aligned(esk2_0,esk4_0)
| greater(tau,tau) ),
inference(spm,[status(thm)],[291,364,theory(equality)]) ).
cnf(383,negated_conjecture,
( positional_advantage(esk2_0,esk4_0)
| $false
| ~ greater(tau,tau) ),
inference(rw,[status(thm)],[366,76,theory(equality)]) ).
cnf(384,negated_conjecture,
( positional_advantage(esk2_0,esk4_0)
| ~ greater(tau,tau) ),
inference(cn,[status(thm)],[383,theory(equality)]) ).
cnf(385,negated_conjecture,
~ greater(tau,tau),
inference(sr,[status(thm)],[384,127,theory(equality)]) ).
cnf(400,negated_conjecture,
is_aligned(esk2_0,esk4_0),
inference(sr,[status(thm)],[371,385,theory(equality)]) ).
cnf(403,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) = mod2
| positional_advantage(esk2_0,esk4_0) ),
inference(spm,[status(thm)],[222,400,theory(equality)]) ).
cnf(411,negated_conjecture,
hazard_of_mortality(esk2_0,esk4_0) = mod2,
inference(sr,[status(thm)],[403,127,theory(equality)]) ).
cnf(414,negated_conjecture,
( $false
| ~ smaller(mod1,hazard_of_mortality(esk2_0,esk4_0)) ),
inference(rw,[status(thm)],[331,411,theory(equality)]) ).
cnf(415,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[414,411,theory(equality)]),100,theory(equality)]) ).
cnf(416,negated_conjecture,
$false,
inference(cn,[status(thm)],[415,theory(equality)]) ).
cnf(417,negated_conjecture,
$false,
416,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT062+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmpEkfwKP/sel_MGT062+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT062+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT062+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT062+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
%
%------------------------------------------------------------------------------