TSTP Solution File: MGT018+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT018+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n031.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 11:35:14 EDT 2023
% Result : Theorem 3.42s 1.82s
% Output : Refutation 3.42s
% 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 : 90 ( 0 equ; 0 cnn)
% Maximal formula atoms : 13 ( 9 avg)
% Number of connectives : 319 ( 7 ~; 0 |; 71 &; 232 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 19 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 : 69 ( 0 ^; 67 !; 2 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(class_type,type,
class: $i > $i > $i > $o ).
thf(reorganization_type,type,
reorganization: $i > $i > $i > $o ).
thf(reorganization_type_type,type,
reorganization_type: $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 @ G )
& ( organization @ B @ G )
& ~ ( organization @ B @ I )
& ( class @ A @ D @ G )
& ( class @ B @ D @ G )
& ( reorganization @ A @ G @ H )
& ( reorganization @ B @ G @ I )
& ( reorganization_type @ A @ C @ G )
& ( reorganization_type @ B @ C @ G )
& ( size @ A @ E @ G )
& ( size @ B @ F @ G )
& ( greater @ F @ E ) )
=> ( greater @ H @ I ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_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 @ G )
& ( organization @ B @ G )
& ~ ( organization @ B @ I )
& ( class @ A @ D @ G )
& ( class @ B @ D @ G )
& ( reorganization @ A @ G @ H )
& ( reorganization @ B @ G @ I )
& ( reorganization_type @ A @ C @ G )
& ( reorganization_type @ B @ C @ G )
& ( size @ A @ E @ G )
& ( size @ B @ F @ G )
& ( greater @ F @ E ) )
=> ( greater @ H @ I ) ),
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 @ G )
& ( organization @ B @ G )
& ~ ( organization @ B @ I )
& ( class @ A @ D @ G )
& ( class @ B @ D @ G )
& ( reorganization @ A @ G @ H )
& ( reorganization @ B @ G @ I )
& ( reorganization_type @ A @ C @ G )
& ( reorganization_type @ B @ C @ G )
& ( size @ A @ E @ G )
& ( size @ B @ F @ G )
& ( greater @ F @ E ) )
=> ( greater @ H @ I ) ),
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,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(22,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)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ( organization @ A @ G )
& ( organization @ B @ G )
& ~ ( organization @ B @ I )
& ( class @ A @ D @ G )
& ( class @ B @ D @ G )
& ( reorganization @ A @ G @ H )
& ( reorganization @ B @ G @ I )
& ( reorganization_type @ A @ C @ G )
& ( reorganization_type @ B @ C @ G )
& ( inertia @ A @ E @ G )
& ( inertia @ B @ F @ G )
& ( greater @ F @ E ) )
=> ( greater @ H @ I ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14_FOL) ).
thf(25,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ( organization @ A @ G )
& ( organization @ B @ G )
& ~ ( organization @ B @ I )
& ( class @ A @ D @ G )
& ( class @ B @ D @ G )
& ( reorganization @ A @ G @ H )
& ( reorganization @ B @ G @ I )
& ( reorganization_type @ A @ C @ G )
& ( reorganization_type @ B @ C @ G )
& ( inertia @ A @ E @ G )
& ( inertia @ B @ F @ G )
& ( greater @ F @ E ) )
=> ( greater @ H @ I ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(29,plain,
$false,
inference(e,[status(thm)],[6,20,22,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT018+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n031.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 : Fri May 19 00:05:27 EDT 2023
% 0.16/0.36 % CPUTime :
% 1.00/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.33/1.04 % [INFO] Parsing done (134ms).
% 1.33/1.05 % [INFO] Running in sequential loop mode.
% 1.72/1.26 % [INFO] eprover registered as external prover.
% 1.72/1.26 % [INFO] cvc4 registered as external prover.
% 1.72/1.27 % [INFO] Scanning for conjecture ...
% 1.95/1.34 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.95/1.37 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.18/1.39 % [INFO] Problem is first-order (TPTP FOF).
% 2.18/1.39 % [INFO] Type checking passed.
% 2.18/1.39 % [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 ...
% 3.42/1.81 % External prover 'e' found a proof!
% 3.42/1.82 % [INFO] Killing All external provers ...
% 3.42/1.82 % Time passed: 1281ms (effective reasoning time: 762ms)
% 3.42/1.82 % 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)>
% 3.42/1.82 % Axioms used in derivation (3): mp5, a5_FOL, a14_FOL
% 3.42/1.82 % No. of inferences in proof: 10
% 3.42/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1281 ms resp. 762 ms w/o parsing
% 3.42/1.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.42/1.89 % [INFO] Killing All external provers ...
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