TSTP Solution File: MGT059+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT059+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 14:04:24 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 43 ( 15 ~; 21 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(assumption_2,plain,
( organization(x)
& has_immunity(x,t0)
& has_immunity(x,t)
& ~ $equal(hazard_of_mortality(x,t),hazard_of_mortality(x,t0)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059+1.tptp',unknown),
[] ).
cnf(163329976,plain,
organization(x),
inference(rewrite,[status(thm)],[assumption_2]),
[] ).
fof(assumption_17,plain,
! [A,B] :
( ( is_aligned(A,B)
| ~ positional_advantage(A,B)
| $equal(mod1,hazard_of_mortality(A,B))
| has_immunity(A,B)
| ~ organization(A) )
& ( ~ is_aligned(A,B)
| positional_advantage(A,B)
| $equal(mod2,hazard_of_mortality(A,B))
| has_immunity(A,B)
| ~ organization(A) )
& ( is_aligned(A,B)
| positional_advantage(A,B)
| $equal(high,hazard_of_mortality(A,B))
| has_immunity(A,B)
| ~ organization(A) )
& ( ~ is_aligned(A,B)
| ~ positional_advantage(A,B)
| $equal(low,hazard_of_mortality(A,B))
| has_immunity(A,B)
| ~ organization(A) )
& ( ~ has_immunity(A,B)
| $equal(very_low,hazard_of_mortality(A,B))
| ~ organization(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059+1.tptp',unknown),
[] ).
cnf(163182696,plain,
( ~ has_immunity(A,B)
| $equal(very_low,hazard_of_mortality(A,B))
| ~ organization(A) ),
inference(rewrite,[status(thm)],[assumption_17]),
[] ).
cnf(163313320,plain,
has_immunity(x,t0),
inference(rewrite,[status(thm)],[assumption_2]),
[] ).
cnf(179262472,plain,
$equal(very_low,hazard_of_mortality(x,t0)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163329976,163182696,163313320]),
[] ).
cnf(179239352,plain,
( ~ has_immunity(x,A)
| $equal(very_low,hazard_of_mortality(x,A)) ),
inference(resolution,[status(thm)],[163182696,163329976]),
[] ).
cnf(163305544,plain,
has_immunity(x,t),
inference(rewrite,[status(thm)],[assumption_2]),
[] ).
cnf(179249344,plain,
$equal(very_low,hazard_of_mortality(x,t)),
inference(resolution,[status(thm)],[179239352,163305544]),
[] ).
cnf(180164704,plain,
$equal(hazard_of_mortality(x,t),hazard_of_mortality(x,t0)),
inference(paramodulation,[status(thm)],[179262472,179249344,theory(equality)]),
[] ).
cnf(163296104,plain,
~ $equal(hazard_of_mortality(x,t),hazard_of_mortality(x,t0)),
inference(rewrite,[status(thm)],[assumption_2]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[180164704,163296104]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(assumption_2,plain,((organization(x)&has_immunity(x,t0)&has_immunity(x,t)&~$equal(hazard_of_mortality(x,t),hazard_of_mortality(x,t0)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059+1.tptp',unknown),[]).
%
% cnf(163329976,plain,(organization(x)),inference(rewrite,[status(thm)],[assumption_2]),[]).
%
% fof(assumption_17,plain,(((is_aligned(A,B)|~positional_advantage(A,B)|$equal(mod1,hazard_of_mortality(A,B))|has_immunity(A,B)|~organization(A))&(~is_aligned(A,B)|positional_advantage(A,B)|$equal(mod2,hazard_of_mortality(A,B))|has_immunity(A,B)|~organization(A))&(is_aligned(A,B)|positional_advantage(A,B)|$equal(high,hazard_of_mortality(A,B))|has_immunity(A,B)|~organization(A))&(~is_aligned(A,B)|~positional_advantage(A,B)|$equal(low,hazard_of_mortality(A,B))|has_immunity(A,B)|~organization(A))&(~has_immunity(A,B)|$equal(very_low,hazard_of_mortality(A,B))|~organization(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT059+1.tptp',unknown),[]).
%
% cnf(163182696,plain,(~has_immunity(A,B)|$equal(very_low,hazard_of_mortality(A,B))|~organization(A)),inference(rewrite,[status(thm)],[assumption_17]),[]).
%
% cnf(163313320,plain,(has_immunity(x,t0)),inference(rewrite,[status(thm)],[assumption_2]),[]).
%
% cnf(179262472,plain,($equal(very_low,hazard_of_mortality(x,t0))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163329976,163182696,163313320]),[]).
%
% cnf(179239352,plain,(~has_immunity(x,A)|$equal(very_low,hazard_of_mortality(x,A))),inference(resolution,[status(thm)],[163182696,163329976]),[]).
%
% cnf(163305544,plain,(has_immunity(x,t)),inference(rewrite,[status(thm)],[assumption_2]),[]).
%
% cnf(179249344,plain,($equal(very_low,hazard_of_mortality(x,t))),inference(resolution,[status(thm)],[179239352,163305544]),[]).
%
% cnf(180164704,plain,($equal(hazard_of_mortality(x,t),hazard_of_mortality(x,t0))),inference(paramodulation,[status(thm)],[179262472,179249344,theory(equality)]),[]).
%
% cnf(163296104,plain,(~$equal(hazard_of_mortality(x,t),hazard_of_mortality(x,t0))),inference(rewrite,[status(thm)],[assumption_2]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[180164704,163296104]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------