%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT004+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 : n015.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 08:00:31 AM UTC 2026
% Result : Theorem 5.25s 3.13s
% Output : Refutation 5.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 82 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 279 ( 12 ~; 0 |; 59 &; 197 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 71 ( 0 ^; 67 !; 4 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(reorganization_decl,type,
reorganization: $i > $i > $i > $o ).
thf(survival_chance_decl,type,
survival_chance: $i > $i > $i > $o ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(reliability_decl,type,
reliability: $i > $i > $i > $o ).
thf(accountability_decl,type,
accountability: $i > $i > $i > $o ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ accountability ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ accountability ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ~ ( G @ ( E @ greater ) )
& ( D @ ( E @ greater ) )
& ~ ( D @ ( F @ greater ) )
& ( E @ ( C @ ( A @ survival_chance ) ) )
& ( D @ ( B @ ( A @ survival_chance ) ) )
& ( G @ ( F @ ( A @ reorganization ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( C @ ( B @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ~ ( G @ ( E @ greater ) )
& ( D @ ( E @ greater ) )
& ~ ( D @ ( F @ greater ) )
& ( E @ ( C @ ( A @ survival_chance ) ) )
& ( D @ ( B @ ( A @ survival_chance ) ) )
& ( G @ ( F @ ( A @ reorganization ) ) )
& ( E @ ( A @ organization ) )
& ( D @ ( A @ organization ) ) )
=> ( C @ ( B @ greater ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ~ ( G @ ( E @ greater ) )
& ( D @ ( E @ greater ) )
& ~ ( D @ ( F @ greater ) )
& ( E @ ( C @ ( A @ survival_chance ) ) )
& ( D @ ( B @ ( A @ survival_chance ) ) )
& ( G @ ( F @ ( A @ reorganization ) ) )
& ( 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 @ reliability ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1) ).
thf(19,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ reliability ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ~ ( I @ ( G @ greater ) )
& ( F @ ( G @ greater ) )
& ~ ( F @ ( H @ greater ) )
& ( G @ ( E @ ( A @ accountability ) ) )
& ( F @ ( D @ ( A @ accountability ) ) )
& ( G @ ( C @ ( A @ reliability ) ) )
& ( F @ ( B @ ( A @ reliability ) ) )
& ( I @ ( H @ ( A @ reorganization ) ) )
& ( G @ ( A @ organization ) )
& ( F @ ( A @ organization ) ) )
=> ( ( E @ ( D @ greater ) )
& ( C @ ( B @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_FOL) ).
thf(26,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( ~ ( I @ ( G @ greater ) )
& ( F @ ( G @ greater ) )
& ~ ( F @ ( H @ greater ) )
& ( G @ ( E @ ( A @ accountability ) ) )
& ( F @ ( D @ ( A @ accountability ) ) )
& ( G @ ( C @ ( A @ reliability ) ) )
& ( F @ ( B @ ( A @ reliability ) ) )
& ( I @ ( H @ ( A @ reorganization ) ) )
& ( G @ ( A @ organization ) )
& ( F @ ( A @ organization ) ) )
=> ( ( E @ ( D @ greater ) )
& ( C @ ( B @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( E @ ( F @ greater ) )
& ( C @ ( D @ greater ) )
& ( J @ ( H @ ( B @ survival_chance ) ) )
& ( I @ ( G @ ( A @ survival_chance ) ) )
& ( J @ ( F @ ( B @ accountability ) ) )
& ( I @ ( E @ ( A @ accountability ) ) )
& ( J @ ( D @ ( B @ reliability ) ) )
& ( I @ ( C @ ( A @ reliability ) ) )
& ( J @ ( B @ organization ) )
& ( I @ ( A @ organization ) ) )
=> ( G @ ( H @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_FOL) ).
thf(23,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( E @ ( F @ greater ) )
& ( C @ ( D @ greater ) )
& ( J @ ( H @ ( B @ survival_chance ) ) )
& ( I @ ( G @ ( A @ survival_chance ) ) )
& ( J @ ( F @ ( B @ accountability ) ) )
& ( I @ ( E @ ( A @ accountability ) ) )
& ( J @ ( D @ ( B @ reliability ) ) )
& ( I @ ( C @ ( A @ reliability ) ) )
& ( J @ ( B @ organization ) )
& ( I @ ( A @ organization ) ) )
=> ( G @ ( H @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(35,plain,
$false,
inference(e,[status(thm)],[21,7,19,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT004+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.13 % 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
% 0.23/0.57 % Computer : n015.cluster.edu
% 0.23/0.57 % Model : x86_64 x86_64
% 0.23/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.57 % Memory : 8046.5625MB
% 0.23/0.57 % OS : Linux 6.8.0-71-generic
% 0.23/0.57 % CPULimit : 300
% 0.23/0.57 % WCLimit : 300
% 0.23/0.57 % DateTime : Sat Sep 26 00:05:57 UTC 2026
% 0.23/0.57 % CPUTime :
% 0.23/0.57 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
% 1.41/1.48 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.91/1.78 % [INFO] Parsing done (294ms).
% 2.15/1.80 % [INFO] Running in sequential loop mode.
% 2.79/2.26 % [INFO] eprover registered as external prover.
% 2.79/2.27 % [INFO] Scanning for conjecture ...
% 3.03/2.37 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 3.29/2.41 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 3.29/2.44 % [INFO] Problem is first-order (TPTP FOF).
% 3.29/2.45 % [INFO] Type checking passed.
% 3.29/2.45 % [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 ...
% 5.25/3.12 % External prover 'e' found a proof!
% 5.25/3.12 % [INFO] Killing All external provers ...
% 5.25/3.12 % Time passed: 2344ms (effective reasoning time: 1308ms)
% 5.25/3.12 % 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)>
% 5.25/3.12 % Axioms used in derivation (4): mp2, mp1, a6_FOL, a1_FOL
% 5.25/3.12 % No. of inferences in proof: 12
% 5.25/3.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2344 ms resp. 1308 ms w/o parsing
% 5.67/3.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.67/3.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------