%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT012+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:00:33 AM UTC 2026
% Result : Theorem 5.54s 8.55s
% Output : Refutation 5.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 4 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 270 ( 9 ~; 0 |; 53 &; 195 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 73 ( 0 ^; 69 !; 4 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(reorganization_free_decl,type,
reorganization_free: $i > $i > $i > $o ).
thf(complexity_decl,type,
complexity: $i > $i > $i > $o ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(inertia_decl,type,
inertia: $i > $i > $i > $o ).
thf(class_decl,type,
class: $i > $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ complexity ) ) )
& ( D @ ( B @ ( A @ complexity ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ~ ( C @ ( B @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ complexity ) ) )
& ( D @ ( B @ ( A @ complexity ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ~ ( C @ ( B @ greater ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ complexity ) ) )
& ( D @ ( B @ ( A @ complexity ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ~ ( C @ ( B @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ inertia ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).
thf(20,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ inertia ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ inertia ) ) )
& ( D @ ( B @ ( A @ inertia ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B @ ( C @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL) ).
thf(38,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ inertia ) ) )
& ( D @ ( B @ ( A @ inertia ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B @ ( C @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( E @ ( A @ class ) ) )
& ( B @ ( D @ ( A @ class ) ) )
& ( C @ ( B @ ( A @ reorganization_free ) ) )
& ( C @ ( A @ organization ) )
& ( B @ ( A @ organization ) ) )
=> ( D = E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10) ).
thf(32,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( E @ ( A @ class ) ) )
& ( B @ ( D @ ( A @ class ) ) )
& ( C @ ( B @ ( A @ reorganization_free ) ) )
& ( C @ ( A @ organization ) )
& ( B @ ( A @ organization ) ) )
=> ( D = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ( D @ ( E @ greater ) )
& ( I @ ( G @ ( B @ inertia ) ) )
& ( H @ ( F @ ( A @ inertia ) ) )
& ( I @ ( E @ ( B @ complexity ) ) )
& ( H @ ( D @ ( A @ complexity ) ) )
& ( I @ ( C @ ( B @ class ) ) )
& ( H @ ( C @ ( A @ class ) ) )
& ( I @ ( B @ organization ) )
& ( H @ ( A @ organization ) ) )
=> ( F @ ( G @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_FOL) ).
thf(35,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ( D @ ( E @ greater ) )
& ( I @ ( G @ ( B @ inertia ) ) )
& ( H @ ( F @ ( A @ inertia ) ) )
& ( I @ ( E @ ( B @ complexity ) ) )
& ( H @ ( D @ ( A @ complexity ) ) )
& ( I @ ( C @ ( B @ class ) ) )
& ( H @ ( C @ ( A @ class ) ) )
& ( I @ ( B @ organization ) )
& ( H @ ( A @ organization ) ) )
=> ( F @ ( G @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ class ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp9) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ class ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i] :
~ ( ( A = B )
& ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1) ).
thf(22,plain,
! [A: $i,B: $i] :
~ ( ( A = B )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).
thf(27,plain,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(49,plain,
$false,
inference(e,[status(thm)],[10,20,38,32,35,30,22,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.11 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.21/5.49 % Computer : n005.cluster.edu
% 0.21/5.49 % Model : x86_64 x86_64
% 0.21/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/5.49 % Memory : 8046.5625MB
% 0.21/5.49 % OS : Linux 6.8.0-71-generic
% 0.21/5.49 % CPULimit : 300
% 0.21/5.49 % WCLimit : 300
% 0.21/5.49 % DateTime : Sat Sep 26 00:03:22 UTC 2026
% 0.21/5.50 % CPUTime :
% 0.26/5.50 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.38/6.32 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.91/6.60 % [INFO] Parsing done (272ms).
% 1.91/6.62 % [INFO] Running in sequential loop mode.
% 2.83/7.20 % [INFO] eprover registered as external prover.
% 2.83/7.21 % [INFO] Scanning for conjecture ...
% 3.01/7.36 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 3.16/7.42 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 3.16/7.46 % [INFO] Problem is first-order (TPTP FOF).
% 3.16/7.47 % [INFO] Type checking passed.
% 3.16/7.48 % [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 ...
% 5.54/8.54 % External prover 'e' found a proof!
% 5.54/8.54 % [INFO] Killing All external provers ...
% 5.54/8.54 % Time passed: 2842ms (effective reasoning time: 1913ms)
% 5.54/8.54 % 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)>
% 5.54/8.55 % Axioms used in derivation (7): mp10, a12_FOL, t2_FOL, mp9, mp6_2, mp5, mp6_1
% 5.54/8.55 % No. of inferences in proof: 18
% 5.54/8.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2842 ms resp. 1913 ms w/o parsing
% 5.78/8.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.78/8.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------