TSTP Solution File: MGT032+2 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 : Fri May 19 11:35:19 EDT 2023
% Result : Theorem 2.51s 1.62s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 18 ( 1 unt; 10 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 132 ( 2 ~; 0 |; 19 &; 99 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 23 ( 0 ^; 18 !; 5 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(environment_type,type,
environment: $i > $o ).
thf(stable_type,type,
stable: $i > $o ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(selection_favors_type,type,
selection_favors: $i > $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(1,conjecture,
! [A: $i] :
( ( ( environment @ A )
& ( stable @ A ) )
=> ? [B: $i] :
( ( in_environment @ A @ B )
& ! [C: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ A @ C )
& ( greater_or_equal @ C @ B ) )
=> ( selection_favors @ efficient_producers @ first_movers @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ( environment @ A )
& ( stable @ A ) )
=> ? [B: $i] :
( ( in_environment @ A @ B )
& ! [C: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ A @ C )
& ( greater_or_equal @ C @ B ) )
=> ( selection_favors @ efficient_producers @ first_movers @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ! [A: $i] :
( ( ( environment @ A )
& ( stable @ A ) )
=> ? [B: $i] :
( ( in_environment @ A @ B )
& ! [C: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ A @ C )
& ( greater_or_equal @ C @ B ) )
=> ( selection_favors @ efficient_producers @ first_movers @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( environment @ A )
& ( subpopulations @ B @ C @ A @ D )
& ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) ) )
=> ( selection_favors @ C @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
thf(11,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( environment @ A )
& ( subpopulations @ B @ C @ A @ D )
& ( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) ) )
=> ( selection_favors @ C @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i] :
( ( ( environment @ A )
& ( stable @ A ) )
=> ? [B: $i] :
( ( in_environment @ A @ B )
& ! [C: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ A @ C )
& ( greater_or_equal @ C @ B ) )
=> ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
thf(13,plain,
! [A: $i] :
( ( ( environment @ A )
& ( stable @ A ) )
=> ? [B: $i] :
( ( in_environment @ A @ B )
& ! [C: $i] :
( ( ( subpopulations @ first_movers @ efficient_producers @ A @ C )
& ( greater_or_equal @ C @ B ) )
=> ( greater @ ( growth_rate @ efficient_producers @ C ) @ ( growth_rate @ first_movers @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,plain,
$false,
inference(e,[status(thm)],[5,11,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 23:44:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.98/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.12/1.02 % [INFO] Parsing done (125ms).
% 1.35/1.03 % [INFO] Running in sequential loop mode.
% 1.68/1.24 % [INFO] eprover registered as external prover.
% 1.72/1.24 % [INFO] cvc4 registered as external prover.
% 1.72/1.24 % [INFO] Scanning for conjecture ...
% 1.72/1.30 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.93/1.32 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.93/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 1.93/1.34 % [INFO] Type checking passed.
% 1.93/1.34 % [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 ...
% 2.51/1.62 % External prover 'e' found a proof!
% 2.51/1.62 % [INFO] Killing All external provers ...
% 2.51/1.62 % Time passed: 1102ms (effective reasoning time: 585ms)
% 2.51/1.62 % 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)>
% 2.51/1.62 % Axioms used in derivation (2): mp1_high_growth_rates, l1
% 2.51/1.62 % No. of inferences in proof: 8
% 2.51/1.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1102 ms resp. 585 ms w/o parsing
% 2.84/1.65 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.84/1.65 % [INFO] Killing All external provers ...
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