TSTP Solution File: MGT060+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT060+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 21:08:54 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 21 unt; 0 def)
% Number of atoms : 237 ( 68 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 255 ( 82 ~; 95 |; 52 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/tmp/tmptKsgcW/sel_MGT060+1.p_1',meaning_postulate_greater_transitive) ).
fof(3,conjecture,
! [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/tmptKsgcW/sel_MGT060+1.p_1',assumption_3) ).
fof(4,axiom,
greater(low,very_low),
file('/tmp/tmptKsgcW/sel_MGT060+1.p_1',assumption_18c) ).
fof(5,axiom,
greater(mod1,low),
file('/tmp/tmptKsgcW/sel_MGT060+1.p_1',assumption_18b) ).
fof(6,axiom,
greater(high,mod1),
file('/tmp/tmptKsgcW/sel_MGT060+1.p_1',assumption_18a) ).
fof(7,axiom,
greater(mod2,low),
file('/tmp/tmptKsgcW/sel_MGT060+1.p_1',assumption_18e) ).
fof(9,axiom,
! [X1,X5] :
( organization(X1)
=> ( ( has_immunity(X1,X5)
=> hazard_of_mortality(X1,X5) = very_low )
& ( ~ has_immunity(X1,X5)
=> ( ( ( is_aligned(X1,X5)
& positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = low )
& ( ( ~ is_aligned(X1,X5)
& positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = mod1 )
& ( ( is_aligned(X1,X5)
& ~ positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = mod2 )
& ( ( ~ is_aligned(X1,X5)
& ~ positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = high ) ) ) ) ),
file('/tmp/tmptKsgcW/sel_MGT060+1.p_1',assumption_17) ).
fof(10,negated_conjecture,
~ ! [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(assume_negation,[status(cth)],[3]) ).
fof(11,negated_conjecture,
~ ! [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)],[10,theory(equality)]) ).
fof(12,plain,
! [X1,X5] :
( organization(X1)
=> ( ( has_immunity(X1,X5)
=> hazard_of_mortality(X1,X5) = very_low )
& ( ~ has_immunity(X1,X5)
=> ( ( ( is_aligned(X1,X5)
& positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = low )
& ( ( ~ is_aligned(X1,X5)
& positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = mod1 )
& ( ( is_aligned(X1,X5)
& ~ positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = mod2 )
& ( ( ~ is_aligned(X1,X5)
& ~ positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = high ) ) ) ) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(13,plain,
! [X5,X1] :
( epred1_2(X1,X5)
=> ( ( ( is_aligned(X1,X5)
& positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = low )
& ( ( ~ is_aligned(X1,X5)
& positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = mod1 )
& ( ( is_aligned(X1,X5)
& ~ positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = mod2 )
& ( ( ~ is_aligned(X1,X5)
& ~ positional_advantage(X1,X5) )
=> hazard_of_mortality(X1,X5) = high ) ) ),
introduced(definition) ).
fof(14,plain,
! [X1,X5] :
( organization(X1)
=> ( ( has_immunity(X1,X5)
=> hazard_of_mortality(X1,X5) = very_low )
& ( ~ has_immunity(X1,X5)
=> epred1_2(X1,X5) ) ) ),
inference(apply_def,[status(esa)],[12,13,theory(equality)]) ).
fof(15,plain,
! [X1,X2,X3] :
( ~ greater(X1,X2)
| ~ greater(X2,X3)
| greater(X1,X3) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(16,plain,
! [X4,X5,X6] :
( ~ greater(X4,X5)
| ~ greater(X5,X6)
| greater(X4,X6) ),
inference(variable_rename,[status(thm)],[15]) ).
cnf(17,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[16]) ).
fof(21,negated_conjecture,
? [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(22,negated_conjecture,
? [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)],[21]) ).
fof(23,negated_conjecture,
( organization(esk1_0)
& has_immunity(esk1_0,esk2_0)
& ~ has_immunity(esk1_0,esk3_0)
& ~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[22]) ).
cnf(24,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(25,negated_conjecture,
~ has_immunity(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(26,negated_conjecture,
has_immunity(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(27,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(28,plain,
greater(low,very_low),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(29,plain,
greater(mod1,low),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(30,plain,
greater(high,mod1),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(31,plain,
greater(mod2,low),
inference(split_conjunct,[status(thm)],[7]) ).
fof(33,plain,
! [X1,X5] :
( ~ organization(X1)
| ( ( ~ has_immunity(X1,X5)
| hazard_of_mortality(X1,X5) = very_low )
& ( has_immunity(X1,X5)
| epred1_2(X1,X5) ) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(34,plain,
! [X6,X7] :
( ~ organization(X6)
| ( ( ~ has_immunity(X6,X7)
| hazard_of_mortality(X6,X7) = very_low )
& ( has_immunity(X6,X7)
| epred1_2(X6,X7) ) ) ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,plain,
! [X6,X7] :
( ( ~ has_immunity(X6,X7)
| hazard_of_mortality(X6,X7) = very_low
| ~ organization(X6) )
& ( has_immunity(X6,X7)
| epred1_2(X6,X7)
| ~ organization(X6) ) ),
inference(distribute,[status(thm)],[34]) ).
cnf(36,plain,
( epred1_2(X1,X2)
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,plain,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(38,plain,
! [X5,X1] :
( ~ epred1_2(X1,X5)
| ( ( ~ is_aligned(X1,X5)
| ~ positional_advantage(X1,X5)
| hazard_of_mortality(X1,X5) = low )
& ( is_aligned(X1,X5)
| ~ positional_advantage(X1,X5)
| hazard_of_mortality(X1,X5) = mod1 )
& ( ~ is_aligned(X1,X5)
| positional_advantage(X1,X5)
| hazard_of_mortality(X1,X5) = mod2 )
& ( is_aligned(X1,X5)
| positional_advantage(X1,X5)
| hazard_of_mortality(X1,X5) = high ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(39,plain,
! [X6,X7] :
( ~ epred1_2(X7,X6)
| ( ( ~ is_aligned(X7,X6)
| ~ positional_advantage(X7,X6)
| hazard_of_mortality(X7,X6) = low )
& ( is_aligned(X7,X6)
| ~ positional_advantage(X7,X6)
| hazard_of_mortality(X7,X6) = mod1 )
& ( ~ is_aligned(X7,X6)
| positional_advantage(X7,X6)
| hazard_of_mortality(X7,X6) = mod2 )
& ( is_aligned(X7,X6)
| positional_advantage(X7,X6)
| hazard_of_mortality(X7,X6) = high ) ) ),
inference(variable_rename,[status(thm)],[38]) ).
fof(40,plain,
! [X6,X7] :
( ( ~ is_aligned(X7,X6)
| ~ positional_advantage(X7,X6)
| hazard_of_mortality(X7,X6) = low
| ~ epred1_2(X7,X6) )
& ( is_aligned(X7,X6)
| ~ positional_advantage(X7,X6)
| hazard_of_mortality(X7,X6) = mod1
| ~ epred1_2(X7,X6) )
& ( ~ is_aligned(X7,X6)
| positional_advantage(X7,X6)
| hazard_of_mortality(X7,X6) = mod2
| ~ epred1_2(X7,X6) )
& ( is_aligned(X7,X6)
| positional_advantage(X7,X6)
| hazard_of_mortality(X7,X6) = high
| ~ epred1_2(X7,X6) ) ),
inference(distribute,[status(thm)],[39]) ).
cnf(41,plain,
( hazard_of_mortality(X1,X2) = high
| positional_advantage(X1,X2)
| is_aligned(X1,X2)
| ~ epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(42,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| ~ epred1_2(X1,X2)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(43,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| ~ epred1_2(X1,X2)
| ~ positional_advantage(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(44,plain,
( hazard_of_mortality(X1,X2) = low
| ~ epred1_2(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(45,negated_conjecture,
( epred1_2(esk1_0,X1)
| has_immunity(esk1_0,X1) ),
inference(spm,[status(thm)],[36,27,theory(equality)]) ).
cnf(51,plain,
( greater(X1,very_low)
| ~ greater(X1,low) ),
inference(spm,[status(thm)],[17,28,theory(equality)]) ).
cnf(52,plain,
( greater(X1,low)
| ~ greater(X1,mod1) ),
inference(spm,[status(thm)],[17,29,theory(equality)]) ).
cnf(56,negated_conjecture,
( hazard_of_mortality(esk1_0,esk2_0) = very_low
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[37,26,theory(equality)]) ).
cnf(57,negated_conjecture,
( hazard_of_mortality(esk1_0,esk2_0) = very_low
| $false ),
inference(rw,[status(thm)],[56,27,theory(equality)]) ).
cnf(58,negated_conjecture,
hazard_of_mortality(esk1_0,esk2_0) = very_low,
inference(cn,[status(thm)],[57,theory(equality)]) ).
cnf(59,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = high
| ~ epred1_2(X1,X2) ),
inference(spm,[status(thm)],[43,41,theory(equality)]) ).
cnf(62,plain,
( hazard_of_mortality(X1,X2) = low
| hazard_of_mortality(X1,X2) = mod2
| ~ epred1_2(X1,X2)
| ~ is_aligned(X1,X2) ),
inference(spm,[status(thm)],[44,42,theory(equality)]) ).
cnf(63,negated_conjecture,
epred1_2(esk1_0,esk3_0),
inference(spm,[status(thm)],[25,45,theory(equality)]) ).
cnf(67,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),very_low),
inference(rw,[status(thm)],[24,58,theory(equality)]) ).
cnf(70,plain,
greater(high,low),
inference(spm,[status(thm)],[52,30,theory(equality)]) ).
cnf(71,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk3_0),low),
inference(spm,[status(thm)],[67,51,theory(equality)]) ).
cnf(108,plain,
( hazard_of_mortality(X1,X2) = mod2
| hazard_of_mortality(X1,X2) = low
| hazard_of_mortality(X1,X2) = high
| hazard_of_mortality(X1,X2) = mod1
| ~ epred1_2(X1,X2) ),
inference(spm,[status(thm)],[62,59,theory(equality)]) ).
cnf(132,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = high
| hazard_of_mortality(esk1_0,esk3_0) = low
| hazard_of_mortality(esk1_0,esk3_0) = mod2 ),
inference(spm,[status(thm)],[108,63,theory(equality)]) ).
cnf(138,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = low
| hazard_of_mortality(esk1_0,esk3_0) = high
| hazard_of_mortality(esk1_0,esk3_0) = mod1
| ~ greater(mod2,low) ),
inference(spm,[status(thm)],[71,132,theory(equality)]) ).
cnf(142,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = low
| hazard_of_mortality(esk1_0,esk3_0) = high
| hazard_of_mortality(esk1_0,esk3_0) = mod1
| $false ),
inference(rw,[status(thm)],[138,31,theory(equality)]) ).
cnf(143,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = low
| hazard_of_mortality(esk1_0,esk3_0) = high
| hazard_of_mortality(esk1_0,esk3_0) = mod1 ),
inference(cn,[status(thm)],[142,theory(equality)]) ).
cnf(147,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = low
| ~ greater(high,low) ),
inference(spm,[status(thm)],[71,143,theory(equality)]) ).
cnf(151,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = low
| $false ),
inference(rw,[status(thm)],[147,70,theory(equality)]) ).
cnf(152,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod1
| hazard_of_mortality(esk1_0,esk3_0) = low ),
inference(cn,[status(thm)],[151,theory(equality)]) ).
cnf(159,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = low
| ~ greater(mod1,low) ),
inference(spm,[status(thm)],[71,152,theory(equality)]) ).
cnf(163,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = low
| $false ),
inference(rw,[status(thm)],[159,29,theory(equality)]) ).
cnf(164,negated_conjecture,
hazard_of_mortality(esk1_0,esk3_0) = low,
inference(cn,[status(thm)],[163,theory(equality)]) ).
cnf(169,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[67,164,theory(equality)]),28,theory(equality)]) ).
cnf(170,negated_conjecture,
$false,
inference(cn,[status(thm)],[169,theory(equality)]) ).
cnf(171,negated_conjecture,
$false,
170,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT060+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmptKsgcW/sel_MGT060+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT060+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT060+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT060+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
%
%------------------------------------------------------------------------------