TSTP Solution File: MGT041-2 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : MGT041-2 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n024.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 : Mon Jun 24 11:50:04 EDT 2024
% Result : Unsatisfiable 2.47s 1.51s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 106 ( 20 ~; 18 |; 0 &; 68 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(organisation_at_time_type,type,
organisation_at_time: $i > $i > $o ).
thf(first_mover_type,type,
first_mover: $i > $o ).
thf(efficient_producer_type,type,
efficient_producer: $i > $o ).
thf(number_of_routines_type,type,
number_of_routines: $i > $i > $i > $o ).
thf(low_type,type,
low: $i ).
thf(high_type,type,
high: $i ).
thf(founding_time_type,type,
founding_time: $i > $i > $o ).
thf(has_elaborated_routines_type,type,
has_elaborated_routines: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(8,axiom,
~ ( has_elaborated_routines @ sk1 @ sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_7) ).
thf(20,plain,
~ ( has_elaborated_routines @ sk1 @ sk2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( organisation_at_time @ A @ B )
| ( first_mover @ A )
| ( efficient_producer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t10_8) ).
thf(9,plain,
! [B: $i,A: $i] :
( ~ ( organisation_at_time @ A @ B )
| ( first_mover @ A )
| ( efficient_producer @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( organisation_at_time @ A @ B )
| ~ ( efficient_producer @ A )
| ~ ( founding_time @ A @ B )
| ( has_elaborated_routines @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a14_2) ).
thf(13,plain,
! [B: $i,A: $i] :
( ~ ( organisation_at_time @ A @ B )
| ~ ( efficient_producer @ A )
| ~ ( founding_time @ A @ B )
| ( has_elaborated_routines @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
organisation_at_time @ sk1 @ sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_4) ).
thf(17,plain,
organisation_at_time @ sk1 @ sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
founding_time @ sk1 @ sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_5) ).
thf(18,plain,
founding_time @ sk1 @ sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( number_of_routines @ A @ B @ low )
| ~ ( number_of_routines @ A @ B @ high ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_not_high_and_low_1) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ ( number_of_routines @ A @ B @ low )
| ~ ( number_of_routines @ A @ B @ high ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
number_of_routines @ sk1 @ sk2 @ high,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a16_6) ).
thf(19,plain,
number_of_routines @ sk1 @ sk2 @ high,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( organisation_at_time @ A @ B )
| ~ ( first_mover @ A )
| ~ ( founding_time @ A @ B )
| ( number_of_routines @ A @ B @ low ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a15_3) ).
thf(15,plain,
! [B: $i,A: $i] :
( ~ ( organisation_at_time @ A @ B )
| ~ ( first_mover @ A )
| ~ ( founding_time @ A @ B )
| ( number_of_routines @ A @ B @ low ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(22,plain,
$false,
inference(e,[status(thm)],[20,9,13,17,18,11,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT041-2 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 17:50:25 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.95/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/0.95 % [INFO] Parsing done (97ms).
% 1.22/0.95 % [INFO] Running in sequential loop mode.
% 1.64/1.17 % [INFO] eprover registered as external prover.
% 1.64/1.18 % [INFO] Scanning for conjecture ...
% 1.75/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 1.83/1.25 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.83/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.83/1.26 % [INFO] Type checking passed.
% 1.83/1.26 % [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 ...
% 2.47/1.51 % External prover 'e' found a proof!
% 2.47/1.51 % [INFO] Killing All external provers ...
% 2.47/1.51 % Time passed: 992ms (effective reasoning time: 549ms)
% 2.47/1.51 % Axioms used in derivation (7): a16_6, mp_not_high_and_low_1, a16_5, a14_2, a16_4, a16_7, a15_3
% 2.47/1.51 % No. of inferences in proof: 17
% 2.47/1.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 992 ms resp. 549 ms w/o parsing
% 2.47/1.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.47/1.53 % [INFO] Killing All external provers ...
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