%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT014+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 : n020.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 08:00:34 AM UTC 2026
% Result : Theorem 4.22s 2.20s
% Output : Refutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 94 ( 8 equ; 0 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 286 ( 13 ~; 4 |; 55 &; 199 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 11 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 ^; 73 !; 0 ?; 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(size_decl,type,
size: $i > $i > $i > $o ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(time_decl,type,
time: $i > $o ).
thf(10,axiom,
! [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(46,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)],[10]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ( B @ time ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp15) ).
thf(31,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ( B @ time ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: $i,B: $i] :
~ ( ( A = B )
& ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1) ).
thf(23,plain,
! [A: $i,B: $i] :
~ ( ( A = B )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ reorganization_free ) ) )
=> ( B @ ( C @ ( A @ reorganization_free ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp17) ).
thf(36,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ reorganization_free ) ) )
=> ( B @ ( C @ ( A @ reorganization_free ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( B @ time )
& ( A @ time ) )
=> ( ( A @ ( B @ greater ) )
| ( A = B )
| ( B @ ( A @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp16) ).
thf(33,plain,
! [A: $i,B: $i] :
( ( ( B @ time )
& ( A @ time ) )
=> ( ( A @ ( B @ greater ) )
| ( A = B )
| ( B @ ( A @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).
thf(28,plain,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D = E )
& ( E @ ( C @ ( A @ size ) ) )
& ( D @ ( B @ ( A @ size ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp19) ).
thf(38,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D = E )
& ( E @ ( C @ ( A @ size ) ) )
& ( D @ ( B @ ( A @ size ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( D @ ( E @ greater ) )
& ( G @ ( E @ ( A @ size ) ) )
& ( F @ ( D @ ( A @ size ) ) )
& ( G @ ( C @ ( A @ complexity ) ) )
& ( F @ ( B @ ( A @ complexity ) ) )
& ( G @ ( F @ ( A @ reorganization_free ) ) )
& ( G @ ( A @ organization ) )
& ( F @ ( A @ organization ) ) )
=> ~ ( C @ ( B @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( D @ ( E @ greater ) )
& ( G @ ( E @ ( A @ size ) ) )
& ( F @ ( D @ ( A @ size ) ) )
& ( G @ ( C @ ( A @ complexity ) ) )
& ( F @ ( B @ ( A @ complexity ) ) )
& ( G @ ( F @ ( A @ reorganization_free ) ) )
& ( G @ ( A @ organization ) )
& ( F @ ( A @ organization ) ) )
=> ~ ( C @ ( B @ greater ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( D @ ( E @ greater ) )
& ( G @ ( E @ ( A @ size ) ) )
& ( F @ ( D @ ( A @ size ) ) )
& ( G @ ( C @ ( A @ complexity ) ) )
& ( F @ ( B @ ( A @ complexity ) ) )
& ( G @ ( F @ ( A @ reorganization_free ) ) )
& ( G @ ( A @ organization ) )
& ( F @ ( A @ organization ) ) )
=> ~ ( C @ ( B @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ size ) ) )
& ( D @ ( B @ ( A @ size ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ~ ( C @ ( B @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL) ).
thf(43,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( E @ greater ) )
& ( E @ ( C @ ( A @ size ) ) )
& ( D @ ( B @ ( A @ size ) ) )
& ( E @ ( D @ ( A @ reorganization_free ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ~ ( C @ ( B @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(57,plain,
$false,
inference(e,[status(thm)],[46,31,23,36,33,28,38,11,43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT014+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.08 % 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
% 0.13/0.59 % Computer : n020.cluster.edu
% 0.13/0.59 % Model : x86_64 x86_64
% 0.13/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.59 % Memory : 8046.5625MB
% 0.13/0.59 % OS : Linux 6.8.0-71-generic
% 0.13/0.59 % CPULimit : 300
% 0.13/0.59 % WCLimit : 300
% 0.13/0.59 % DateTime : Sat Sep 26 00:04:19 UTC 2026
% 0.13/0.59 % CPUTime :
% 0.13/0.59 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
% 0.17/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.17/1.02 % [INFO] Parsing done (108ms).
% 0.17/1.02 % [INFO] Running in sequential loop mode.
% 1.67/1.33 % [INFO] eprover registered as external prover.
% 1.67/1.33 % [INFO] Scanning for conjecture ...
% 1.89/1.42 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 1.89/1.45 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.89/1.48 % [INFO] Problem is first-order (TPTP FOF).
% 1.89/1.49 % [INFO] Type checking passed.
% 1.89/1.49 % [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 ...
% 4.22/2.19 % External prover 'e' found a proof!
% 4.22/2.19 % [INFO] Killing All external provers ...
% 4.22/2.19 % Time passed: 1497ms (effective reasoning time: 1165ms)
% 4.22/2.19 % 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)>
% 4.22/2.19 % Axioms used in derivation (8): mp17, t11_FOL, t12_FOL, mp19, mp15, mp6_2, mp6_1, mp16
% 4.22/2.20 % No. of inferences in proof: 20
% 4.22/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1497 ms resp. 1165 ms w/o parsing
% 4.37/2.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.37/2.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------