TSTP Solution File: MGT023-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 11:35:16 EDT 2023
% Result : Unsatisfiable 2.93s 1.65s
% Output : Refutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 31 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 59 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 244 ( 34 ~; 40 |; 0 &; 170 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(environment_type,type,
environment: $i > $o ).
thf(sk3_type,type,
sk3: $i ).
thf(stable_type,type,
stable: $i > $o ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(critical_point_type,type,
critical_point: $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(first_movers_type,type,
first_movers: $i ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(sk1_type,type,
sk1: $i > $i > $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(1,negated_conjecture,
environment @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_23) ).
thf(10,plain,
environment @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_21) ).
thf(25,plain,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @ ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ( B
= ( critical_point @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_17) ).
thf(14,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ( B
= ( critical_point @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( B
= ( critical_point @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_19) ).
thf(20,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( B
= ( critical_point @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk1 @ B @ A ) @ B )
| ( B
= ( critical_point @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_18) ).
thf(17,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) )
| ~ ( in_environment @ A @ B )
| ( greater @ ( sk1 @ B @ A ) @ B )
| ( B
= ( critical_point @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater @ B @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_22) ).
thf(27,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater @ B @ ( sk2 @ A ) )
| ( greater @ ( growth_rate @ efficient_producers @ B ) @ ( growth_rate @ first_movers @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
~ ( in_environment @ sk3 @ ( critical_point @ sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_25) ).
thf(12,plain,
~ ( in_environment @ sk3 @ ( critical_point @ sk3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
stable @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_24) ).
thf(11,plain,
stable @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_20) ).
thf(23,plain,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(36,plain,
$false,
inference(e,[status(thm)],[10,25,14,20,17,27,12,11,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n018.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 23:48:29 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.90/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.94 % [INFO] Parsing done (111ms).
% 1.22/0.95 % [INFO] Running in sequential loop mode.
% 1.60/1.15 % [INFO] eprover registered as external prover.
% 1.60/1.15 % [INFO] cvc4 registered as external prover.
% 1.70/1.16 % [INFO] Scanning for conjecture ...
% 1.70/1.21 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.70/1.23 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.89/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 1.89/1.25 % [INFO] Type checking passed.
% 1.89/1.25 % [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 ...
% 2.93/1.65 % External prover 'e' found a proof!
% 2.93/1.65 % [INFO] Killing All external provers ...
% 2.93/1.65 % Time passed: 1141ms (effective reasoning time: 696ms)
% 2.93/1.65 % 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)>
% 2.93/1.65 % Axioms used in derivation (6): d1_19, l12_21, d1_17, l12_20, d1_18, l12_22
% 2.93/1.65 % No. of inferences in proof: 19
% 2.93/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1141 ms resp. 696 ms w/o parsing
% 3.17/1.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.17/1.68 % [INFO] Killing All external provers ...
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