%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:30 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 79 ( 26 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 87 ( 26 ~; 26 |; 26 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 18 ( 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,T] :
( organization(X)
=> ( ( ~ has_immunity(X,T)
=> ( ( ( ~ positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = high )
& ( ( ~ positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod2 )
& ( ( positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod1 )
& ( ( positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = low ) ) )
& ( has_immunity(X,T)
=> hazard_of_mortality(X,T) = very_low ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [X,T0,T] :
( ( has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [X,T0,T] :
( ( has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f30,plain,
! [X,T] :
( ( ( ( ( hazard_of_mortality(X,T) = high
| positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T)
| ~ is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod1
| ~ positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = low
| ~ positional_advantage(X,T)
| ~ is_aligned(X,T) ) )
| has_immunity(X,T) )
& ( hazard_of_mortality(X,T) = very_low
| ~ has_immunity(X,T) ) )
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f31,plain,
! [X] :
( ( ! [T] :
( ( ( hazard_of_mortality(X,T) = high
| positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T)
| ~ is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod1
| ~ positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = low
| ~ positional_advantage(X,T)
| ~ is_aligned(X,T) ) )
| has_immunity(X,T) )
& ! [T] :
( hazard_of_mortality(X,T) = very_low
| ~ has_immunity(X,T) ) )
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f37,plain,
? [X,T0,T] :
( hazard_of_mortality(X,T0) != hazard_of_mortality(X,T)
& has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
( hazard_of_mortality(sK0_skl,sK1_skl) != hazard_of_mortality(sK0_skl,sK2_skl)
& has_immunity(sK0_skl,sK2_skl)
& has_immunity(sK0_skl,sK1_skl)
& organization(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(T0,sK1_skl),skolemize(T,sK2_skl)],[f37]) ).
fof(f39,plain,
organization(sK0_skl),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
has_immunity(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
has_immunity(sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f42,plain,
hazard_of_mortality(sK0_skl,sK1_skl) != hazard_of_mortality(sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f49,plain,
( hazard_of_mortality(sK0_skl,sK2_skl) = very_low
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f32,f41]) ).
fof(f50,plain,
( hazard_of_mortality(sK0_skl,sK1_skl) = very_low
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f32,f40]) ).
fof(f51,plain,
hazard_of_mortality(sK0_skl,sK2_skl) = very_low,
inference(forward_subsumption_resolution,[status(thm)],[f49,f39]) ).
fof(f52,plain,
hazard_of_mortality(sK0_skl,sK1_skl) = very_low,
inference(forward_subsumption_resolution,[status(thm)],[f50,f39]) ).
fof(f53,plain,
hazard_of_mortality(sK0_skl,sK1_skl) != very_low,
inference(backward_demodulation,[status(thm)],[f51,f42]) ).
fof(f54,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f52,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:27:01 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.057130 seconds
% 0.13/0.43 % CPU time: 0.160424 seconds
% 0.13/0.43 % Total memory used: 80.459 MB
% 0.13/0.43 % Net memory used: 80.099 MB
%------------------------------------------------------------------------------