TSTP Solution File: MGT006+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT006+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 11:35:11 EDT 2023
% Result : Theorem 3.03s 1.71s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 1 unt; 6 typ; 0 def)
% Number of atoms : 74 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 247 ( 2 ~; 0 |; 52 &; 181 @)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 57 ( 0 ^; 55 !; 2 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(reliability_type,type,
reliability: $i > $i > $i > $o ).
thf(accountability_type,type,
accountability: $i > $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(reproducibility_type,type,
reproducibility: $i > $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( organization @ A @ F )
& ( organization @ A @ G )
& ( reorganization_free @ A @ F @ G )
& ( reliability @ A @ B @ F )
& ( reliability @ A @ C @ G )
& ( accountability @ A @ D @ F )
& ( accountability @ A @ E @ G )
& ( greater @ G @ F ) )
=> ( ( greater @ C @ B )
& ( greater @ E @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( organization @ A @ F )
& ( organization @ A @ G )
& ( reorganization_free @ A @ F @ G )
& ( reliability @ A @ B @ F )
& ( reliability @ A @ C @ G )
& ( accountability @ A @ D @ F )
& ( accountability @ A @ E @ G )
& ( greater @ G @ F ) )
=> ( ( greater @ C @ B )
& ( greater @ E @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( organization @ A @ F )
& ( organization @ A @ G )
& ( reorganization_free @ A @ F @ G )
& ( reliability @ A @ B @ F )
& ( reliability @ A @ C @ G )
& ( accountability @ A @ D @ F )
& ( accountability @ A @ E @ G )
& ( greater @ G @ F ) )
=> ( ( greater @ C @ B )
& ( greater @ E @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( reproducibility @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).
thf(17,plain,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( reproducibility @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reliability @ A @ E @ C )
& ( reliability @ B @ F @ D )
& ( accountability @ A @ G @ C )
& ( accountability @ B @ H @ D )
& ( reproducibility @ A @ I @ C )
& ( reproducibility @ B @ J @ D ) )
=> ( ( greater @ J @ I )
<=> ( ( greater @ F @ E )
& ( greater @ H @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).
thf(19,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reliability @ A @ E @ C )
& ( reliability @ B @ F @ D )
& ( accountability @ A @ G @ C )
& ( accountability @ B @ H @ D )
& ( reproducibility @ A @ I @ C )
& ( reproducibility @ B @ J @ D ) )
=> ( ( ( greater @ J @ I )
=> ( ( greater @ F @ E )
& ( greater @ H @ G ) ) )
& ( ( ( greater @ F @ E )
& ( greater @ H @ G ) )
=> ( greater @ J @ I ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A @ D )
& ( organization @ A @ E )
& ( reorganization_free @ A @ D @ E )
& ( reproducibility @ A @ B @ D )
& ( reproducibility @ A @ C @ E )
& ( greater @ E @ D ) )
=> ( greater @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_FOL) ).
thf(23,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A @ D )
& ( organization @ A @ E )
& ( reorganization_free @ A @ D @ E )
& ( reproducibility @ A @ B @ D )
& ( reproducibility @ A @ C @ E )
& ( greater @ E @ D ) )
=> ( greater @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(26,plain,
$false,
inference(e,[status(thm)],[6,17,19,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT006+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 23:26:39 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.98/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.36/1.02 % [INFO] Parsing done (131ms).
% 1.36/1.03 % [INFO] Running in sequential loop mode.
% 1.72/1.23 % [INFO] eprover registered as external prover.
% 1.74/1.23 % [INFO] cvc4 registered as external prover.
% 1.74/1.23 % [INFO] Scanning for conjecture ...
% 1.74/1.29 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.98/1.32 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.98/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 1.98/1.34 % [INFO] Type checking passed.
% 1.98/1.34 % [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 ...
% 3.03/1.71 % External prover 'e' found a proof!
% 3.03/1.71 % [INFO] Killing All external provers ...
% 3.03/1.71 % Time passed: 1198ms (effective reasoning time: 675ms)
% 3.03/1.71 % 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)>
% 3.03/1.71 % Axioms used in derivation (3): mp3, a2_FOL, a4_FOL
% 3.03/1.71 % No. of inferences in proof: 10
% 3.03/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1198 ms resp. 675 ms w/o parsing
% 3.03/1.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.03/1.77 % [INFO] Killing All external provers ...
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