TSTP Solution File: MGT059+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT059+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 21:08:47 EST 2010
% Result : Theorem 0.30s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 106 ( 32 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 112 ( 32 ~; 16 |; 40 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1,X2,X3] :
( ( organization(X1)
& has_immunity(X1,X2)
& has_immunity(X1,X3) )
=> hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3) ),
file('/tmp/tmpBgUGrs/sel_MGT059+1.p_1',assumption_2) ).
fof(2,axiom,
! [X1,X3] :
( organization(X1)
=> ( ( has_immunity(X1,X3)
=> hazard_of_mortality(X1,X3) = very_low )
& ( ~ has_immunity(X1,X3)
=> ( ( ( is_aligned(X1,X3)
& positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = low )
& ( ( ~ is_aligned(X1,X3)
& positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = mod1 )
& ( ( is_aligned(X1,X3)
& ~ positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = mod2 )
& ( ( ~ is_aligned(X1,X3)
& ~ positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = high ) ) ) ) ),
file('/tmp/tmpBgUGrs/sel_MGT059+1.p_1',assumption_17) ).
fof(3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( organization(X1)
& has_immunity(X1,X2)
& has_immunity(X1,X3) )
=> hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(4,plain,
! [X1,X3] :
( organization(X1)
=> ( ( has_immunity(X1,X3)
=> hazard_of_mortality(X1,X3) = very_low )
& ( ~ has_immunity(X1,X3)
=> ( ( ( is_aligned(X1,X3)
& positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = low )
& ( ( ~ is_aligned(X1,X3)
& positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = mod1 )
& ( ( is_aligned(X1,X3)
& ~ positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = mod2 )
& ( ( ~ is_aligned(X1,X3)
& ~ positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = high ) ) ) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(5,plain,
! [X3,X1] :
( epred1_2(X1,X3)
=> ( ( ( is_aligned(X1,X3)
& positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = low )
& ( ( ~ is_aligned(X1,X3)
& positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = mod1 )
& ( ( is_aligned(X1,X3)
& ~ positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = mod2 )
& ( ( ~ is_aligned(X1,X3)
& ~ positional_advantage(X1,X3) )
=> hazard_of_mortality(X1,X3) = high ) ) ),
introduced(definition) ).
fof(6,plain,
! [X1,X3] :
( organization(X1)
=> ( ( has_immunity(X1,X3)
=> hazard_of_mortality(X1,X3) = very_low )
& ( ~ has_immunity(X1,X3)
=> epred1_2(X1,X3) ) ) ),
inference(apply_def,[status(esa)],[4,5,theory(equality)]) ).
fof(7,negated_conjecture,
? [X1,X2,X3] :
( organization(X1)
& has_immunity(X1,X2)
& has_immunity(X1,X3)
& hazard_of_mortality(X1,X2) != hazard_of_mortality(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(8,negated_conjecture,
? [X4,X5,X6] :
( organization(X4)
& has_immunity(X4,X5)
& has_immunity(X4,X6)
& hazard_of_mortality(X4,X5) != hazard_of_mortality(X4,X6) ),
inference(variable_rename,[status(thm)],[7]) ).
fof(9,negated_conjecture,
( organization(esk1_0)
& has_immunity(esk1_0,esk2_0)
& has_immunity(esk1_0,esk3_0)
& hazard_of_mortality(esk1_0,esk2_0) != hazard_of_mortality(esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[8]) ).
cnf(10,negated_conjecture,
hazard_of_mortality(esk1_0,esk2_0) != hazard_of_mortality(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(11,negated_conjecture,
has_immunity(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(12,negated_conjecture,
has_immunity(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(13,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[9]) ).
fof(14,plain,
! [X1,X3] :
( ~ organization(X1)
| ( ( ~ has_immunity(X1,X3)
| hazard_of_mortality(X1,X3) = very_low )
& ( has_immunity(X1,X3)
| epred1_2(X1,X3) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(15,plain,
! [X4,X5] :
( ~ organization(X4)
| ( ( ~ has_immunity(X4,X5)
| hazard_of_mortality(X4,X5) = very_low )
& ( has_immunity(X4,X5)
| epred1_2(X4,X5) ) ) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(16,plain,
! [X4,X5] :
( ( ~ has_immunity(X4,X5)
| hazard_of_mortality(X4,X5) = very_low
| ~ organization(X4) )
& ( has_immunity(X4,X5)
| epred1_2(X4,X5)
| ~ organization(X4) ) ),
inference(distribute,[status(thm)],[15]) ).
cnf(18,plain,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(26,negated_conjecture,
( hazard_of_mortality(esk1_0,esk2_0) = very_low
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[18,12,theory(equality)]) ).
cnf(27,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = very_low
| ~ organization(esk1_0) ),
inference(spm,[status(thm)],[18,11,theory(equality)]) ).
cnf(28,negated_conjecture,
( hazard_of_mortality(esk1_0,esk2_0) = very_low
| $false ),
inference(rw,[status(thm)],[26,13,theory(equality)]) ).
cnf(29,negated_conjecture,
hazard_of_mortality(esk1_0,esk2_0) = very_low,
inference(cn,[status(thm)],[28,theory(equality)]) ).
cnf(30,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = very_low
| $false ),
inference(rw,[status(thm)],[27,13,theory(equality)]) ).
cnf(31,negated_conjecture,
hazard_of_mortality(esk1_0,esk3_0) = very_low,
inference(cn,[status(thm)],[30,theory(equality)]) ).
cnf(37,negated_conjecture,
hazard_of_mortality(esk1_0,esk3_0) != very_low,
inference(rw,[status(thm)],[10,29,theory(equality)]) ).
cnf(38,negated_conjecture,
$false,
inference(sr,[status(thm)],[31,37,theory(equality)]) ).
cnf(39,negated_conjecture,
$false,
38,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT059+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmpBgUGrs/sel_MGT059+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT059+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT059+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT059+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
%
%------------------------------------------------------------------------------