TSTP Solution File: MGT009+1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : MGT009+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% 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 : Tue May 21 00:41:15 EDT 2024
% Result : Theorem 3.86s 2.32s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 17 ( 1 unt; 7 typ; 0 def)
% Number of atoms : 83 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 289 ( 2 ~; 0 |; 61 &; 214 @)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 18 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 67 ( 0 ^ 65 !; 2 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(class_type,type,
class: $i > $i > $i > $o ).
thf(reproducibility_type,type,
reproducibility: $i > $i > $i > $o ).
thf(size_type,type,
size: $i > $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(inertia_type,type,
inertia: $i > $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ( organization @ A @ H )
& ( organization @ B @ I )
& ( reorganization_free @ A @ H @ H )
& ( reorganization_free @ B @ I @ I )
& ( class @ A @ C @ H )
& ( class @ B @ C @ I )
& ( reproducibility @ A @ D @ H )
& ( reproducibility @ B @ E @ I )
& ( size @ A @ F @ H )
& ( size @ B @ G @ I )
& ( greater @ G @ F ) )
=> ( greater @ E @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ( organization @ A @ H )
& ( organization @ B @ I )
& ( reorganization_free @ A @ H @ H )
& ( reorganization_free @ B @ I @ I )
& ( class @ A @ C @ H )
& ( class @ B @ C @ I )
& ( reproducibility @ A @ D @ H )
& ( reproducibility @ B @ E @ I )
& ( size @ A @ F @ H )
& ( size @ B @ G @ I )
& ( greater @ G @ F ) )
=> ( 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,H: $i,I: $i] :
( ( ( organization @ A @ H )
& ( organization @ B @ I )
& ( reorganization_free @ A @ H @ H )
& ( reorganization_free @ B @ I @ I )
& ( class @ A @ C @ H )
& ( class @ B @ C @ I )
& ( reproducibility @ A @ D @ H )
& ( reproducibility @ B @ E @ I )
& ( size @ A @ F @ H )
& ( size @ B @ G @ I )
& ( greater @ G @ F ) )
=> ( greater @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( inertia @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).
thf(20,plain,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( inertia @ 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] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reorganization_free @ A @ C @ C )
& ( reorganization_free @ B @ D @ D )
& ( reproducibility @ A @ E @ C )
& ( reproducibility @ B @ F @ D )
& ( inertia @ A @ G @ C )
& ( inertia @ B @ H @ D ) )
=> ( ( greater @ F @ E )
<=> ( greater @ H @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL) ).
thf(22,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reorganization_free @ A @ C @ C )
& ( reorganization_free @ B @ D @ D )
& ( reproducibility @ A @ E @ C )
& ( reproducibility @ B @ F @ D )
& ( inertia @ A @ G @ C )
& ( inertia @ B @ H @ D ) )
=> ( ( ( greater @ F @ E )
=> ( greater @ H @ G ) )
& ( ( greater @ H @ G )
=> ( greater @ F @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ( organization @ A @ H )
& ( organization @ B @ I )
& ( class @ A @ C @ H )
& ( class @ B @ C @ I )
& ( size @ A @ D @ H )
& ( size @ B @ E @ I )
& ( inertia @ A @ F @ H )
& ( inertia @ B @ G @ I )
& ( greater @ E @ D ) )
=> ( greater @ G @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).
thf(25,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ( organization @ A @ H )
& ( organization @ B @ I )
& ( class @ A @ C @ H )
& ( class @ B @ C @ I )
& ( size @ A @ D @ H )
& ( size @ B @ E @ I )
& ( inertia @ A @ F @ H )
& ( inertia @ B @ G @ I )
& ( greater @ E @ D ) )
=> ( greater @ G @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(30,plain,
$false,
inference(e,[status(thm)],[6,20,22,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : MGT009+1 : TPTP v8.2.0. Released v2.0.0.
% 0.05/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 00:01:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 1.01/0.94 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.10 % [INFO] Parsing done (160ms).
% 1.30/1.11 % [INFO] Running in sequential loop mode.
% 1.85/1.47 % [INFO] eprover registered as external prover.
% 1.85/1.47 % [INFO] cvc4 registered as external prover.
% 1.91/1.48 % [INFO] Scanning for conjecture ...
% 2.08/1.58 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.08/1.62 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.28/1.65 % [INFO] Problem is first-order (TPTP FOF).
% 2.28/1.66 % [INFO] Type checking passed.
% 2.28/1.66 % [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 ...
% 3.86/2.31 % External prover 'e' found a proof!
% 3.86/2.31 % [INFO] Killing All external provers ...
% 3.86/2.31 % Time passed: 1849ms (effective reasoning time: 1196ms)
% 3.86/2.31 % 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)>
% 3.86/2.32 % Axioms used in derivation (3): mp5, a3_FOL, a5_FOL
% 3.86/2.32 % No. of inferences in proof: 10
% 3.86/2.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1849 ms resp. 1196 ms w/o parsing
% 4.04/2.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.04/2.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------