TSTP Solution File: MGT061+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT061+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 21:08:58 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of formulae : 130 ( 27 unt; 0 def)
% Number of atoms : 526 ( 77 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 615 ( 219 ~; 225 |; 130 &)
% ( 7 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 175 ( 7 sgn 107 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',definition_smaller_or_equal) ).
fof(3,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',meaning_postulate_greater_transitive) ).
fof(4,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',definition_smaller) ).
fof(6,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',assumption_1) ).
fof(7,axiom,
! [X1,X5,X4] :
( dissimilar(X1,X5,X4)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X5)
<=> is_aligned(X1,X4) ) ) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',definition_2) ).
fof(8,axiom,
! [X1] :
( fragile_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),sigma)
=> positional_advantage(X1,X4) )
& ( greater(age(X1,X4),sigma)
=> ~ positional_advantage(X1,X4) ) ) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',definition_3) ).
fof(10,axiom,
greater(mod1,low),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',assumption_18b) ).
fof(11,axiom,
greater(high,mod1),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',assumption_18a) ).
fof(12,conjecture,
! [X1,X5,X6,X7] :
( ( organization(X1)
& fragile_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',theorem_7) ).
fof(15,axiom,
! [X1,X4] :
( ( organization(X1)
& age(X1,X4) = zero )
=> is_aligned(X1,X4) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',assumption_13) ).
fof(16,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/tmp1Mkfbd/sel_MGT061+1.p_1',assumption_17) ).
fof(17,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& age(X1,X5) = zero )
=> ( greater(age(X1,X4),sigma)
<=> dissimilar(X1,X5,X4) ) ),
file('/tmp/tmp1Mkfbd/sel_MGT061+1.p_1',assumption_15) ).
fof(18,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& fragile_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( greater(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)],[12]) ).
fof(19,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(20,plain,
! [X1] :
( fragile_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),sigma)
=> positional_advantage(X1,X4) )
& ( greater(age(X1,X4),sigma)
=> ~ positional_advantage(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(21,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& fragile_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( greater(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)],[18,theory(equality)]) ).
fof(22,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)],[16,theory(equality)]) ).
fof(23,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(24,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)],[22,23,theory(equality)]) ).
fof(25,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(26,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)],[25]) ).
fof(27,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)],[26]) ).
cnf(29,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[27]) ).
fof(34,plain,
! [X1,X2,X3] :
( ~ greater(X1,X2)
| ~ greater(X2,X3)
| greater(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(35,plain,
! [X4,X5,X6] :
( ~ greater(X4,X5)
| ~ greater(X5,X6)
| greater(X4,X6) ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(37,plain,
! [X1,X2] :
( ( ~ smaller(X1,X2)
| greater(X2,X1) )
& ( ~ greater(X2,X1)
| smaller(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(38,plain,
! [X3,X4] :
( ( ~ smaller(X3,X4)
| greater(X4,X3) )
& ( ~ greater(X4,X3)
| smaller(X3,X4) ) ),
inference(variable_rename,[status(thm)],[37]) ).
cnf(39,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(43,plain,
! [X1,X4] :
( ~ organization(X1)
| has_endowment(X1)
| ~ has_immunity(X1,X4) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(44,plain,
! [X5,X6] :
( ~ organization(X5)
| has_endowment(X5)
| ~ has_immunity(X5,X6) ),
inference(variable_rename,[status(thm)],[43]) ).
cnf(45,plain,
( has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,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)],[7]) ).
fof(47,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)],[46]) ).
fof(48,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)],[47]) ).
cnf(50,plain,
( dissimilar(X1,X2,X3)
| is_aligned(X1,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(52,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(53,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(54,plain,
! [X1] :
( ( ~ fragile_position(X1)
| ! [X4] :
( ( ~ smaller_or_equal(age(X1,X4),sigma)
| positional_advantage(X1,X4) )
& ( ~ greater(age(X1,X4),sigma)
| ~ positional_advantage(X1,X4) ) ) )
& ( ? [X4] :
( ( smaller_or_equal(age(X1,X4),sigma)
& ~ positional_advantage(X1,X4) )
| ( greater(age(X1,X4),sigma)
& positional_advantage(X1,X4) ) )
| fragile_position(X1) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(55,plain,
! [X5] :
( ( ~ fragile_position(X5)
| ! [X6] :
( ( ~ smaller_or_equal(age(X5,X6),sigma)
| positional_advantage(X5,X6) )
& ( ~ greater(age(X5,X6),sigma)
| ~ positional_advantage(X5,X6) ) ) )
& ( ? [X7] :
( ( smaller_or_equal(age(X5,X7),sigma)
& ~ positional_advantage(X5,X7) )
| ( greater(age(X5,X7),sigma)
& positional_advantage(X5,X7) ) )
| fragile_position(X5) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,plain,
! [X5] :
( ( ~ fragile_position(X5)
| ! [X6] :
( ( ~ smaller_or_equal(age(X5,X6),sigma)
| positional_advantage(X5,X6) )
& ( ~ greater(age(X5,X6),sigma)
| ~ positional_advantage(X5,X6) ) ) )
& ( ( smaller_or_equal(age(X5,esk1_1(X5)),sigma)
& ~ positional_advantage(X5,esk1_1(X5)) )
| ( greater(age(X5,esk1_1(X5)),sigma)
& positional_advantage(X5,esk1_1(X5)) )
| fragile_position(X5) ) ),
inference(skolemize,[status(esa)],[55]) ).
fof(57,plain,
! [X5,X6] :
( ( ( ( ~ smaller_or_equal(age(X5,X6),sigma)
| positional_advantage(X5,X6) )
& ( ~ greater(age(X5,X6),sigma)
| ~ positional_advantage(X5,X6) ) )
| ~ fragile_position(X5) )
& ( ( smaller_or_equal(age(X5,esk1_1(X5)),sigma)
& ~ positional_advantage(X5,esk1_1(X5)) )
| ( greater(age(X5,esk1_1(X5)),sigma)
& positional_advantage(X5,esk1_1(X5)) )
| fragile_position(X5) ) ),
inference(shift_quantors,[status(thm)],[56]) ).
fof(58,plain,
! [X5,X6] :
( ( ~ smaller_or_equal(age(X5,X6),sigma)
| positional_advantage(X5,X6)
| ~ fragile_position(X5) )
& ( ~ greater(age(X5,X6),sigma)
| ~ positional_advantage(X5,X6)
| ~ fragile_position(X5) )
& ( greater(age(X5,esk1_1(X5)),sigma)
| smaller_or_equal(age(X5,esk1_1(X5)),sigma)
| fragile_position(X5) )
& ( positional_advantage(X5,esk1_1(X5))
| smaller_or_equal(age(X5,esk1_1(X5)),sigma)
| fragile_position(X5) )
& ( greater(age(X5,esk1_1(X5)),sigma)
| ~ positional_advantage(X5,esk1_1(X5))
| fragile_position(X5) )
& ( positional_advantage(X5,esk1_1(X5))
| ~ positional_advantage(X5,esk1_1(X5))
| fragile_position(X5) ) ),
inference(distribute,[status(thm)],[57]) ).
cnf(63,plain,
( ~ fragile_position(X1)
| ~ positional_advantage(X1,X2)
| ~ greater(age(X1,X2),sigma) ),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(64,plain,
( positional_advantage(X1,X2)
| ~ fragile_position(X1)
| ~ smaller_or_equal(age(X1,X2),sigma) ),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(66,plain,
greater(mod1,low),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(67,plain,
greater(high,mod1),
inference(split_conjunct,[status(thm)],[11]) ).
fof(68,negated_conjecture,
? [X1,X5,X6,X7] :
( organization(X1)
& fragile_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& ( ~ greater(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)],[21]) ).
fof(69,negated_conjecture,
? [X8,X9,X10,X11] :
( organization(X8)
& fragile_position(X8)
& ~ has_endowment(X8)
& age(X8,X9) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X8,X10),sigma)
& greater(age(X8,X11),sigma)
& ( ~ 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)],[68]) ).
fof(70,negated_conjecture,
( organization(esk2_0)
& fragile_position(esk2_0)
& ~ has_endowment(esk2_0)
& age(esk2_0,esk3_0) = zero
& greater(sigma,zero)
& smaller_or_equal(age(esk2_0,esk4_0),sigma)
& greater(age(esk2_0,esk5_0),sigma)
& ( ~ greater(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)],[69]) ).
cnf(71,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) != hazard_of_mortality(esk2_0,esk3_0)
| ~ greater(hazard_of_mortality(esk2_0,esk5_0),hazard_of_mortality(esk2_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(72,negated_conjecture,
greater(age(esk2_0,esk5_0),sigma),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(73,negated_conjecture,
smaller_or_equal(age(esk2_0,esk4_0),sigma),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(74,negated_conjecture,
greater(sigma,zero),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(75,negated_conjecture,
age(esk2_0,esk3_0) = zero,
inference(split_conjunct,[status(thm)],[70]) ).
cnf(76,negated_conjecture,
~ has_endowment(esk2_0),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(77,negated_conjecture,
fragile_position(esk2_0),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(78,negated_conjecture,
organization(esk2_0),
inference(split_conjunct,[status(thm)],[70]) ).
fof(81,plain,
! [X1,X4] :
( ~ organization(X1)
| age(X1,X4) != zero
| is_aligned(X1,X4) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(82,plain,
! [X5,X6] :
( ~ organization(X5)
| age(X5,X6) != zero
| is_aligned(X5,X6) ),
inference(variable_rename,[status(thm)],[81]) ).
cnf(83,plain,
( is_aligned(X1,X2)
| age(X1,X2) != zero
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(84,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)],[24]) ).
fof(85,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)],[84]) ).
fof(86,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)],[85]) ).
cnf(87,plain,
( epred1_2(X1,X2)
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(89,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)],[17]) ).
fof(90,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)],[89]) ).
fof(91,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)],[90]) ).
cnf(92,plain,
( greater(age(X1,X3),sigma)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(93,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(94,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)],[23]) ).
fof(95,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)],[94]) ).
fof(96,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)],[95]) ).
cnf(97,plain,
( hazard_of_mortality(X1,X2) = high
| positional_advantage(X1,X2)
| is_aligned(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(100,plain,
( hazard_of_mortality(X1,X2) = low
| ~ epred1_2(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(102,negated_conjecture,
smaller(zero,sigma),
inference(spm,[status(thm)],[39,74,theory(equality)]) ).
cnf(120,plain,
( greater(X1,low)
| ~ greater(X1,mod1) ),
inference(spm,[status(thm)],[36,66,theory(equality)]) ).
cnf(126,negated_conjecture,
( is_aligned(esk2_0,esk3_0)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[83,75,theory(equality)]) ).
cnf(127,negated_conjecture,
( is_aligned(esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[126,78,theory(equality)]) ).
cnf(128,negated_conjecture,
is_aligned(esk2_0,esk3_0),
inference(cn,[status(thm)],[127,theory(equality)]) ).
cnf(129,plain,
( has_endowment(X1)
| epred1_2(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[45,87,theory(equality)]) ).
cnf(130,negated_conjecture,
( positional_advantage(esk2_0,esk3_0)
| ~ fragile_position(esk2_0)
| ~ smaller_or_equal(zero,sigma) ),
inference(spm,[status(thm)],[64,75,theory(equality)]) ).
cnf(131,negated_conjecture,
( positional_advantage(esk2_0,esk4_0)
| ~ fragile_position(esk2_0) ),
inference(spm,[status(thm)],[64,73,theory(equality)]) ).
cnf(132,negated_conjecture,
( positional_advantage(esk2_0,esk3_0)
| $false
| ~ smaller_or_equal(zero,sigma) ),
inference(rw,[status(thm)],[130,77,theory(equality)]) ).
cnf(133,negated_conjecture,
( positional_advantage(esk2_0,esk3_0)
| ~ smaller_or_equal(zero,sigma) ),
inference(cn,[status(thm)],[132,theory(equality)]) ).
cnf(134,negated_conjecture,
( positional_advantage(esk2_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[131,77,theory(equality)]) ).
cnf(135,negated_conjecture,
positional_advantage(esk2_0,esk4_0),
inference(cn,[status(thm)],[134,theory(equality)]) ).
cnf(138,negated_conjecture,
( ~ positional_advantage(esk2_0,esk5_0)
| ~ fragile_position(esk2_0) ),
inference(spm,[status(thm)],[63,72,theory(equality)]) ).
cnf(141,negated_conjecture,
( ~ positional_advantage(esk2_0,esk5_0)
| $false ),
inference(rw,[status(thm)],[138,77,theory(equality)]) ).
cnf(142,negated_conjecture,
~ positional_advantage(esk2_0,esk5_0),
inference(cn,[status(thm)],[141,theory(equality)]) ).
cnf(147,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| ~ organization(esk2_0)
| ~ greater(age(esk2_0,X1),sigma) ),
inference(spm,[status(thm)],[93,75,theory(equality)]) ).
cnf(148,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| $false
| ~ greater(age(esk2_0,X1),sigma) ),
inference(rw,[status(thm)],[147,78,theory(equality)]) ).
cnf(149,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| ~ greater(age(esk2_0,X1),sigma) ),
inference(cn,[status(thm)],[148,theory(equality)]) ).
cnf(150,plain,
( greater(age(X1,X3),sigma)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
inference(csr,[status(thm)],[92,53]) ).
cnf(151,negated_conjecture,
( greater(age(esk2_0,X1),sigma)
| ~ dissimilar(esk2_0,esk3_0,X1) ),
inference(spm,[status(thm)],[150,75,theory(equality)]) ).
cnf(152,negated_conjecture,
smaller_or_equal(zero,sigma),
inference(spm,[status(thm)],[29,102,theory(equality)]) ).
cnf(160,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[50,128,theory(equality)]) ).
cnf(162,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1)
| $false ),
inference(rw,[status(thm)],[160,78,theory(equality)]) ).
cnf(163,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1) ),
inference(cn,[status(thm)],[162,theory(equality)]) ).
cnf(193,negated_conjecture,
( positional_advantage(esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[133,152,theory(equality)]) ).
cnf(194,negated_conjecture,
positional_advantage(esk2_0,esk3_0),
inference(cn,[status(thm)],[193,theory(equality)]) ).
cnf(248,plain,
greater(high,low),
inference(spm,[status(thm)],[120,67,theory(equality)]) ).
cnf(349,negated_conjecture,
( epred1_2(esk2_0,X1)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[76,129,theory(equality)]) ).
cnf(354,negated_conjecture,
( epred1_2(esk2_0,X1)
| $false ),
inference(rw,[status(thm)],[349,78,theory(equality)]) ).
cnf(355,negated_conjecture,
epred1_2(esk2_0,X1),
inference(cn,[status(thm)],[354,theory(equality)]) ).
cnf(360,negated_conjecture,
( hazard_of_mortality(esk2_0,X1) = high
| positional_advantage(esk2_0,X1)
| is_aligned(esk2_0,X1) ),
inference(spm,[status(thm)],[97,355,theory(equality)]) ).
cnf(363,negated_conjecture,
( hazard_of_mortality(esk2_0,X1) = low
| ~ positional_advantage(esk2_0,X1)
| ~ is_aligned(esk2_0,X1) ),
inference(spm,[status(thm)],[100,355,theory(equality)]) ).
cnf(389,negated_conjecture,
dissimilar(esk2_0,esk3_0,esk5_0),
inference(spm,[status(thm)],[149,72,theory(equality)]) ).
cnf(395,negated_conjecture,
( hazard_of_mortality(esk2_0,esk5_0) = high
| is_aligned(esk2_0,esk5_0) ),
inference(spm,[status(thm)],[142,360,theory(equality)]) ).
cnf(408,negated_conjecture,
( ~ is_aligned(esk2_0,esk5_0)
| ~ is_aligned(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[52,389,theory(equality)]) ).
cnf(411,negated_conjecture,
( ~ is_aligned(esk2_0,esk5_0)
| $false ),
inference(rw,[status(thm)],[408,128,theory(equality)]) ).
cnf(412,negated_conjecture,
~ is_aligned(esk2_0,esk5_0),
inference(cn,[status(thm)],[411,theory(equality)]) ).
cnf(415,negated_conjecture,
hazard_of_mortality(esk2_0,esk5_0) = high,
inference(sr,[status(thm)],[395,412,theory(equality)]) ).
cnf(416,negated_conjecture,
( hazard_of_mortality(esk2_0,esk3_0) != hazard_of_mortality(esk2_0,esk4_0)
| ~ greater(high,hazard_of_mortality(esk2_0,esk4_0)) ),
inference(rw,[status(thm)],[71,415,theory(equality)]) ).
cnf(426,negated_conjecture,
( greater(age(esk2_0,X1),sigma)
| is_aligned(esk2_0,X1) ),
inference(spm,[status(thm)],[151,163,theory(equality)]) ).
cnf(435,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) = low
| ~ is_aligned(esk2_0,esk4_0) ),
inference(spm,[status(thm)],[363,135,theory(equality)]) ).
cnf(436,negated_conjecture,
( hazard_of_mortality(esk2_0,esk3_0) = low
| ~ is_aligned(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[363,194,theory(equality)]) ).
cnf(438,negated_conjecture,
( hazard_of_mortality(esk2_0,esk3_0) = low
| $false ),
inference(rw,[status(thm)],[436,128,theory(equality)]) ).
cnf(439,negated_conjecture,
hazard_of_mortality(esk2_0,esk3_0) = low,
inference(cn,[status(thm)],[438,theory(equality)]) ).
cnf(441,negated_conjecture,
( low != hazard_of_mortality(esk2_0,esk4_0)
| ~ greater(high,hazard_of_mortality(esk2_0,esk4_0)) ),
inference(rw,[status(thm)],[416,439,theory(equality)]) ).
cnf(447,negated_conjecture,
( is_aligned(esk2_0,X1)
| ~ positional_advantage(esk2_0,X1)
| ~ fragile_position(esk2_0) ),
inference(spm,[status(thm)],[63,426,theory(equality)]) ).
cnf(453,negated_conjecture,
( is_aligned(esk2_0,X1)
| ~ positional_advantage(esk2_0,X1)
| $false ),
inference(rw,[status(thm)],[447,77,theory(equality)]) ).
cnf(454,negated_conjecture,
( is_aligned(esk2_0,X1)
| ~ positional_advantage(esk2_0,X1) ),
inference(cn,[status(thm)],[453,theory(equality)]) ).
cnf(467,negated_conjecture,
is_aligned(esk2_0,esk4_0),
inference(spm,[status(thm)],[454,135,theory(equality)]) ).
cnf(495,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) = low
| $false ),
inference(rw,[status(thm)],[435,467,theory(equality)]) ).
cnf(496,negated_conjecture,
hazard_of_mortality(esk2_0,esk4_0) = low,
inference(cn,[status(thm)],[495,theory(equality)]) ).
cnf(498,negated_conjecture,
( $false
| ~ greater(high,hazard_of_mortality(esk2_0,esk4_0)) ),
inference(rw,[status(thm)],[441,496,theory(equality)]) ).
cnf(499,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[498,496,theory(equality)]),248,theory(equality)]) ).
cnf(500,negated_conjecture,
$false,
inference(cn,[status(thm)],[499,theory(equality)]) ).
cnf(501,negated_conjecture,
$false,
500,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT061+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmp1Mkfbd/sel_MGT061+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT061+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT061+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT061+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
%
%------------------------------------------------------------------------------