%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT001+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n010.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 08:00:30 AM UTC 2026
% Result : Theorem 6.21s 8.21s
% Output : Refutation 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 112 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 380 ( 2 ~; 0 |; 75 &; 282 @)
% ( 2 <=>; 19 =>; 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 : 9 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 98 ( 0 ^; 92 !; 6 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(reorganization_free_decl,type,
reorganization_free: $i > $i > $i > $o ).
thf(inertia_decl,type,
inertia: $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(reproducibility_decl,type,
reproducibility: $i > $i > $i > $o ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ reproducibility ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ reproducibility ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ reliability ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ reliability ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( E @ ( F @ greater ) )
& ( D @ ( H @ ( B @ survival_chance ) ) )
& ( C @ ( G @ ( A @ survival_chance ) ) )
& ( D @ ( F @ ( B @ inertia ) ) )
& ( C @ ( E @ ( A @ inertia ) ) )
& ( D @ ( D @ ( B @ reorganization_free ) ) )
& ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( G @ ( H @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( E @ ( F @ greater ) )
& ( D @ ( H @ ( B @ survival_chance ) ) )
& ( C @ ( G @ ( A @ survival_chance ) ) )
& ( D @ ( F @ ( B @ inertia ) ) )
& ( C @ ( E @ ( A @ inertia ) ) )
& ( D @ ( D @ ( B @ reorganization_free ) ) )
& ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( G @ ( H @ greater ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( E @ ( F @ greater ) )
& ( D @ ( H @ ( B @ survival_chance ) ) )
& ( C @ ( G @ ( A @ survival_chance ) ) )
& ( D @ ( F @ ( B @ inertia ) ) )
& ( C @ ( E @ ( A @ inertia ) ) )
& ( D @ ( D @ ( B @ reorganization_free ) ) )
& ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( G @ ( H @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,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/sandbox2/benchmark/theBenchmark.p',a1_FOL) ).
thf(27,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)],[6]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( D @ ( H @ ( B @ inertia ) ) )
& ( C @ ( G @ ( A @ inertia ) ) )
& ( D @ ( F @ ( B @ reproducibility ) ) )
& ( C @ ( E @ ( A @ reproducibility ) ) )
& ( D @ ( D @ ( B @ reorganization_free ) ) )
& ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( ( E @ ( F @ greater ) )
<=> ( G @ ( H @ greater ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL) ).
thf(35,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( D @ ( H @ ( B @ inertia ) ) )
& ( C @ ( G @ ( A @ inertia ) ) )
& ( D @ ( F @ ( B @ reproducibility ) ) )
& ( C @ ( E @ ( A @ reproducibility ) ) )
& ( D @ ( D @ ( B @ reorganization_free ) ) )
& ( C @ ( C @ ( A @ reorganization_free ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( ( ( G @ ( H @ greater ) )
=> ( E @ ( F @ greater ) ) )
& ( ( E @ ( F @ greater ) )
=> ( G @ ( H @ greater ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ accountability ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).
thf(23,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organization ) )
=> ? [C: $i] : ( B @ ( C @ ( A @ accountability ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( D @ ( J @ ( B @ reproducibility ) ) )
& ( C @ ( I @ ( A @ reproducibility ) ) )
& ( D @ ( H @ ( B @ accountability ) ) )
& ( C @ ( G @ ( A @ accountability ) ) )
& ( D @ ( F @ ( B @ reliability ) ) )
& ( C @ ( E @ ( A @ reliability ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( ( I @ ( J @ greater ) )
<=> ( ( G @ ( H @ greater ) )
& ( E @ ( F @ greater ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).
thf(30,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( D @ ( J @ ( B @ reproducibility ) ) )
& ( C @ ( I @ ( A @ reproducibility ) ) )
& ( D @ ( H @ ( B @ accountability ) ) )
& ( C @ ( G @ ( A @ accountability ) ) )
& ( D @ ( F @ ( B @ reliability ) ) )
& ( C @ ( E @ ( A @ reliability ) ) )
& ( D @ ( B @ organization ) )
& ( C @ ( A @ organization ) ) )
=> ( ( ( ( G @ ( H @ greater ) )
& ( E @ ( F @ greater ) ) )
=> ( I @ ( J @ greater ) ) )
& ( ( I @ ( J @ greater ) )
=> ( ( G @ ( H @ greater ) )
& ( E @ ( F @ greater ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(39,plain,
$false,
inference(e,[status(thm)],[25,21,9,27,35,23,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT001+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.15/5.42 % Computer : n010.cluster.edu
% 0.15/5.42 % Model : x86_64 x86_64
% 0.15/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42 % Memory : 8046.5625MB
% 0.15/5.42 % OS : Linux 6.8.0-71-generic
% 0.15/5.42 % CPULimit : 300
% 0.15/5.42 % WCLimit : 300
% 0.15/5.42 % DateTime : Sat Sep 26 00:02:41 UTC 2026
% 0.15/5.42 % CPUTime :
% 0.15/5.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.26/6.29 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.78/6.56 % [INFO] Parsing done (268ms).
% 1.78/6.57 % [INFO] Running in sequential loop mode.
% 2.67/6.95 % [INFO] eprover registered as external prover.
% 2.67/6.96 % [INFO] Scanning for conjecture ...
% 2.96/7.11 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.96/7.15 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 3.19/7.18 % [INFO] Problem is first-order (TPTP FOF).
% 3.19/7.19 % [INFO] Type checking passed.
% 3.19/7.19 % [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 ...
% 6.21/8.20 % External prover 'e' found a proof!
% 6.21/8.20 % [INFO] Killing All external provers ...
% 6.21/8.20 % Time passed: 2573ms (effective reasoning time: 1630ms)
% 6.21/8.20 % 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)>
% 6.21/8.21 % Axioms used in derivation (6): mp2, a3_FOL, a2_FOL, mp1, a1_FOL, mp3
% 6.21/8.21 % No. of inferences in proof: 16
% 6.21/8.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2573 ms resp. 1630 ms w/o parsing
% 6.21/8.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.21/8.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------