%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT012-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n009.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 : Unsatisfiable 4.66s 3.14s
% Output : Refutation 4.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 29 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 4 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 286 ( 52 ~; 48 |; 0 &; 186 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(reorganization_free_decl,type,
reorganization_free: $i > $i > $i > $o ).
thf(complexity_decl,type,
complexity: $i > $i > $i > $o ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(inertia_decl,type,
inertia: $i > $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i > $i > $i ).
thf(class_decl,type,
class: $i > $i > $i > $o ).
thf(sk2_decl,type,
sk2: $i > $i > $i ).
thf(3,negated_conjecture,
sk7 @ ( sk6 @ ( sk3 @ reorganization_free ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_29) ).
thf(20,plain,
sk7 @ ( sk6 @ ( sk3 @ reorganization_free ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ inertia ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_20) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk1 ) @ ( A @ inertia ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( I @ greater ) )
| ~ ( F @ ( G @ greater ) )
| ~ ( D @ ( I @ ( C @ inertia ) ) )
| ~ ( B @ ( H @ ( A @ inertia ) ) )
| ~ ( D @ ( G @ ( C @ complexity ) ) )
| ~ ( B @ ( F @ ( A @ complexity ) ) )
| ~ ( D @ ( E @ ( C @ class ) ) )
| ~ ( B @ ( E @ ( A @ class ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_FOL_25) ).
thf(35,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( H @ ( I @ greater ) )
| ~ ( F @ ( G @ greater ) )
| ~ ( D @ ( I @ ( C @ inertia ) ) )
| ~ ( B @ ( H @ ( A @ inertia ) ) )
| ~ ( D @ ( G @ ( C @ complexity ) ) )
| ~ ( B @ ( F @ ( A @ complexity ) ) )
| ~ ( D @ ( E @ ( C @ class ) ) )
| ~ ( B @ ( E @ ( A @ class ) ) )
| ~ ( D @ ( C @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(2,negated_conjecture,
sk7 @ ( sk3 @ organization ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_28) ).
thf(18,plain,
sk7 @ ( sk3 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1,negated_conjecture,
sk6 @ ( sk3 @ organization ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_27) ).
thf(16,plain,
sk6 @ ( sk3 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,negated_conjecture,
sk7 @ ( sk5 @ ( sk3 @ complexity ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_31) ).
thf(15,plain,
sk7 @ ( sk5 @ ( sk3 @ complexity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1_21) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( A != B )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( E @ ( A @ inertia ) ) )
| ~ ( B @ ( D @ ( A @ inertia ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL_26) ).
thf(37,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( E @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( E @ ( A @ inertia ) ) )
| ~ ( B @ ( D @ ( A @ inertia ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_22) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,negated_conjecture,
sk6 @ ( sk4 @ ( sk3 @ complexity ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_30) ).
thf(21,plain,
sk6 @ ( sk4 @ ( sk3 @ complexity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D = E )
| ~ ( C @ ( E @ ( A @ class ) ) )
| ~ ( B @ ( D @ ( A @ class ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10_24) ).
thf(32,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D = E )
| ~ ( C @ ( E @ ( A @ class ) ) )
| ~ ( B @ ( D @ ( A @ class ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,negated_conjecture,
sk6 @ ( sk7 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_32) ).
thf(17,plain,
sk6 @ ( sk7 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk2 ) @ ( A @ class ) ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp9_23) ).
thf(30,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( B @ sk2 ) @ ( A @ class ) ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(7,negated_conjecture,
sk5 @ ( sk4 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL_33) ).
thf(19,plain,
sk5 @ ( sk4 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(39,plain,
$false,
inference(e,[status(thm)],[20,22,35,18,16,15,24,37,28,21,32,17,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT012-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.12 % 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
% 0.22/0.48 % Computer : n009.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sat Sep 26 00:03:29 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 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
% 1.24/1.15 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.65/1.44 % [INFO] Parsing done (285ms).
% 1.65/1.46 % [INFO] Running in sequential loop mode.
% 2.62/2.06 % [INFO] eprover registered as external prover.
% 2.62/2.07 % [INFO] Scanning for conjecture ...
% 2.86/2.21 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 2.86/2.25 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 2.86/2.30 % [INFO] Problem is propositional (TPTP CNF).
% 3.04/2.31 % [INFO] Type checking passed.
% 3.04/2.32 % [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 ...
% 4.66/3.13 % External prover 'e' found a proof!
% 4.66/3.14 % [INFO] Killing All external provers ...
% 4.66/3.14 % Time passed: 2478ms (effective reasoning time: 1669ms)
% 4.66/3.14 % Axioms used in derivation (7): mp9_23, mp10_24, mp5_20, mp6_1_21, a12_FOL_25, t2_FOL_26, mp6_2_22
% 4.66/3.14 % No. of inferences in proof: 29
% 4.66/3.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2478 ms resp. 1669 ms w/o parsing
% 4.96/3.19 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.96/3.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------