TSTP Solution File: MGT039+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 11:35:23 EDT 2023
% Result : Theorem 2.87s 1.67s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 25
% Syntax : Number of formulae : 39 ( 5 unt; 13 typ; 0 def)
% Number of atoms : 89 ( 3 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 234 ( 4 ~; 3 |; 34 &; 167 @)
% ( 1 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 41 ( 0 ^; 39 !; 2 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(observational_period_type,type,
observational_period: $i > $o ).
thf(slow_change_type,type,
slow_change: $i > $o ).
thf(selection_favors_type,type,
selection_favors: $i > $i > $i > $o ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(first_movers_type,type,
first_movers: $i ).
thf(propagation_strategy_type,type,
propagation_strategy: $i > $o ).
thf(environment_type,type,
environment: $i > $o ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(end_time_type,type,
end_time: $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(critical_point_type,type,
critical_point: $i > $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(start_time_type,type,
start_time: $i > $i ).
thf(5,axiom,
propagation_strategy @ first_movers,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1) ).
thf(25,plain,
propagation_strategy @ first_movers,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
! [A: $i] :
( ( ( observational_period @ A )
& ( slow_change @ A ) )
=> ( selection_favors @ efficient_producers @ first_movers @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ( observational_period @ A )
& ( slow_change @ A ) )
=> ( selection_favors @ efficient_producers @ first_movers @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ ! [A: $i] :
( ( ( observational_period @ A )
& ( slow_change @ A ) )
=> ( selection_favors @ efficient_producers @ first_movers @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).
thf(33,plain,
! [A: $i,B: $i,C: $i] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( greater_or_equal @ A @ B )
<=> ( ( greater @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
thf(35,plain,
! [A: $i,B: $i] :
( ( ( greater_or_equal @ A @ B )
=> ( ( greater @ A @ B )
| ( A = B ) ) )
& ( ( ( greater @ A @ B )
| ( A = B ) )
=> ( greater_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,axiom,
! [A: $i] :
( ( ( observational_period @ A )
& ( propagation_strategy @ first_movers )
& ( propagation_strategy @ efficient_producers )
& ! [B: $i] :
( ( ( environment @ B )
& ( in_environment @ A @ B ) )
=> ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ B ) ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
thf(18,plain,
! [A: $i] :
( ( ( observational_period @ A )
& ( propagation_strategy @ first_movers )
& ( propagation_strategy @ efficient_producers )
& ! [B: $i] :
( ( ( environment @ B )
& ( in_environment @ A @ B ) )
=> ( selection_favors @ efficient_producers @ first_movers @ ( end_time @ B ) ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: $i] :
( ( environment @ A )
=> ( greater_or_equal @ ( critical_point @ A ) @ ( start_time @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
thf(31,plain,
! [A: $i] :
( ( environment @ A )
=> ( greater_or_equal @ ( critical_point @ A ) @ ( start_time @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
propagation_strategy @ efficient_producers,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2) ).
thf(26,plain,
propagation_strategy @ efficient_producers,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( environment @ A )
& ( in_environment @ A @ B )
& ( greater @ B @ ( critical_point @ A ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l8) ).
thf(46,plain,
! [A: $i,B: $i] :
( ( ( environment @ A )
& ( in_environment @ A @ B )
& ( greater @ B @ ( critical_point @ A ) ) )
=> ( selection_favors @ efficient_producers @ first_movers @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( environment @ A )
& ( in_environment @ A @ B ) )
=> ( greater_or_equal @ ( end_time @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point) ).
thf(29,plain,
! [A: $i,B: $i] :
( ( ( environment @ A )
& ( in_environment @ A @ B ) )
=> ( greater_or_equal @ ( end_time @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
! [A: $i] :
( ( ( observational_period @ A )
& ( slow_change @ A ) )
=> ! [B: $i] :
( ( ( environment @ B )
& ( in_environment @ A @ B ) )
=> ? [C: $i] :
( ( in_environment @ B @ C )
& ( greater @ C @ ( critical_point @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).
thf(22,plain,
! [A: $i] :
( ( ( observational_period @ A )
& ( slow_change @ A ) )
=> ! [B: $i] :
( ( ( environment @ B )
& ( in_environment @ A @ B ) )
=> ? [C: $i] :
( ( in_environment @ B @ C )
& ( greater @ C @ ( critical_point @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ( environment @ A )
& ( greater @ B @ ( start_time @ A ) )
& ~ ( greater @ B @ ( end_time @ A ) ) )
=> ( greater_or_equal @ ( end_time @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_beginning_and_ending) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( ( environment @ A )
& ( greater @ B @ ( start_time @ A ) )
& ~ ( greater @ B @ ( end_time @ A ) ) )
=> ( greater_or_equal @ ( end_time @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( ( environment @ A )
& ( greater_or_equal @ B @ ( start_time @ A ) )
& ( greater_or_equal @ ( end_time @ A ) @ B ) )
=> ( in_environment @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment) ).
thf(27,plain,
! [A: $i,B: $i] :
( ( ( environment @ A )
& ( greater_or_equal @ B @ ( start_time @ A ) )
& ( greater_or_equal @ ( end_time @ A ) @ B ) )
=> ( in_environment @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(48,plain,
$false,
inference(e,[status(thm)],[25,14,33,35,18,31,26,46,29,22,44,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 23:33:55 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.83/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.98 % [INFO] Parsing done (131ms).
% 1.15/0.99 % [INFO] Running in sequential loop mode.
% 1.69/1.18 % [INFO] eprover registered as external prover.
% 1.69/1.18 % [INFO] cvc4 registered as external prover.
% 1.69/1.19 % [INFO] Scanning for conjecture ...
% 1.79/1.24 % [INFO] Found a conjecture and 11 axioms. Running axiom selection ...
% 1.87/1.26 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 1.87/1.29 % [INFO] Problem is first-order (TPTP FOF).
% 1.87/1.29 % [INFO] Type checking passed.
% 1.87/1.29 % [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 ...
% 2.87/1.67 % External prover 'e' found a proof!
% 2.87/1.67 % [INFO] Killing All external provers ...
% 2.87/1.67 % Time passed: 1141ms (effective reasoning time: 673ms)
% 2.87/1.67 % 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)>
% 2.87/1.67 % Axioms used in derivation (11): mp3_favoured_trategy, mp_time_of_critical_point, mp_time_in_environment, mp_organizational_sets1, mp4_critical_point, mp_organizational_sets2, mp_beginning_and_ending, mp_greater_transitivity, mp_greater_or_equal, mp_environment_end_point, l8
% 2.87/1.67 % No. of inferences in proof: 26
% 2.87/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1141 ms resp. 673 ms w/o parsing
% 3.09/1.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.09/1.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------