TSTP Solution File: MGT052+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : MGT052+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 10:42:37 EDT 2024
% Result : Theorem 7.02s 2.41s
% Output : Refutation 7.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 5 typ; 0 def)
% Number of atoms : 57 ( 2 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 175 ( 23 ~; 10 |; 11 &; 117 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 0 ^ 30 !; 2 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(dissimilar_type,type,
dissimilar: $i > $i > $i > $o ).
thf(organization_type,type,
organization: $i > $o ).
thf(is_aligned_type,type,
is_aligned: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
! [A: $i,B: $i] :
~ ( dissimilar @ A @ B @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background_assumption_1) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
~ ( dissimilar @ A @ B @ B ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ! [A: $i,B: $i] :
~ ( dissimilar @ A @ B @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,plain,
~ ~ ? [A: $i,B: $i] : ( dissimilar @ A @ B @ B ),
inference(miniscope,[status(thm)],[10]) ).
thf(12,plain,
dissimilar @ sk1 @ sk2 @ sk2,
inference(cnf,[status(esa)],[11]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( dissimilar @ A @ B @ C )
<=> ( ( organization @ A )
& ~ ( ( is_aligned @ A @ B )
<=> ( is_aligned @ A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
thf(44,plain,
! [A: $i,B: $i,C: $i] :
( ( ( dissimilar @ A @ B @ C )
=> ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) ) )
& ( ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) )
=> ( dissimilar @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(45,plain,
( ! [A: $i,B: $i,C: $i] :
( ( dissimilar @ A @ B @ C )
=> ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) )
=> ( dissimilar @ A @ B @ C ) ) ),
inference(miniscope,[status(thm)],[44]) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ( is_aligned @ A @ B )
| ( is_aligned @ A @ C ) ),
inference(cnf,[status(esa)],[45]) ).
thf(646,plain,
! [C: $i,B: $i,A: $i] :
( ( is_aligned @ A @ B )
| ( is_aligned @ A @ C )
| ( ( dissimilar @ sk1 @ sk2 @ sk2 )
!= ( dissimilar @ A @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[12,47]) ).
thf(647,plain,
( ( is_aligned @ sk1 @ sk2 )
| ( is_aligned @ sk1 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[646:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk2 ))]]) ).
thf(648,plain,
is_aligned @ sk1 @ sk2,
inference(simp,[status(thm)],[647]) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( dissimilar @ A @ B @ C )
| ~ ( is_aligned @ A @ C )
| ~ ( is_aligned @ A @ B ) ),
inference(cnf,[status(esa)],[45]) ).
thf(379,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( is_aligned @ A @ C )
| ~ ( is_aligned @ A @ B )
| ( ( dissimilar @ sk1 @ sk2 @ sk2 )
!= ( dissimilar @ A @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[12,52]) ).
thf(380,plain,
( ~ ( is_aligned @ sk1 @ sk2 )
| ~ ( is_aligned @ sk1 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[379:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk2 ))]]) ).
thf(382,plain,
~ ( is_aligned @ sk1 @ sk2 ),
inference(simp,[status(thm)],[380]) ).
thf(650,plain,
$false,
inference(rewrite,[status(thm)],[648,382]) ).
thf(651,plain,
$false,
inference(simp,[status(thm)],[650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : MGT052+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.10 % Command : run_Leo-III %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 6 23:10:24 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.73/0.69 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.92/0.81 % [INFO] Parsing done (116ms).
% 0.92/0.82 % [INFO] Running in sequential loop mode.
% 1.37/1.04 % [INFO] nitpick registered as external prover.
% 1.37/1.04 % [INFO] Scanning for conjecture ...
% 1.63/1.09 % [INFO] Found a conjecture and 7 axioms. Running axiom selection ...
% 1.63/1.11 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.63/1.13 % [INFO] Problem is first-order (TPTP FOF).
% 1.78/1.13 % [INFO] Type checking passed.
% 1.78/1.14 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 7.02/2.40 % [INFO] Killing All external provers ...
% 7.02/2.40 % Time passed: 2000ms (effective reasoning time: 1580ms)
% 7.02/2.40 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.02/2.40 % Axioms used in derivation (1): definition_2
% 7.02/2.40 % No. of inferences in proof: 18
% 7.02/2.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2000 ms resp. 1580 ms w/o parsing
% 7.02/2.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.02/2.44 % [INFO] Killing All external provers ...
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