%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT013-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n017.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 4.02s 2.31s
% Output : Refutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of formulae : 35 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 8 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 280 ( 54 ~; 50 |; 0 &; 176 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $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(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(size_decl,type,
size: $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(time_decl,type,
time: $i > $o ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ time )
| ~ ( A @ time ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16_21) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ time )
| ~ ( A @ time ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,negated_conjecture,
sk7 @ ( sk3 @ ( sk1 @ complexity ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_30) ).
thf(18,plain,
sk7 @ ( sk3 @ ( sk1 @ complexity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_19) ).
thf(31,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,negated_conjecture,
sk6 @ ( sk1 @ organization ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_26) ).
thf(19,plain,
sk6 @ ( sk1 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
sk7 @ ( sk6 @ ( sk1 @ reorganization_free ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_28) ).
thf(24,plain,
sk7 @ ( sk6 @ ( sk1 @ reorganization_free ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,negated_conjecture,
sk2 @ ( sk3 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_33) ).
thf(25,plain,
sk2 @ ( sk3 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,negated_conjecture,
sk6 @ ( sk4 @ ( sk1 @ size ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_31) ).
thf(20,plain,
sk6 @ ( sk4 @ ( sk1 @ size ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( E @ ( A @ complexity ) ) )
| ~ ( B @ ( D @ ( A @ complexity ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL_25) ).
thf(46,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( E @ ( A @ complexity ) ) )
| ~ ( B @ ( D @ ( A @ complexity ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17_22) ).
thf(38,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,negated_conjecture,
sk5 @ ( sk4 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_34) ).
thf(21,plain,
sk5 @ ( sk4 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ time )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15_20) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( B @ time )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,negated_conjecture,
sk7 @ ( sk1 @ organization ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_27) ).
thf(22,plain,
sk7 @ ( sk1 @ organization ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( E @ ( A @ size ) ) )
| ~ ( B @ ( D @ ( A @ size ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_24) ).
thf(44,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ greater ) )
| ~ ( B @ ( C @ greater ) )
| ~ ( C @ ( E @ ( A @ size ) ) )
| ~ ( B @ ( D @ ( A @ size ) ) )
| ~ ( C @ ( B @ ( A @ reorganization_free ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_18) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( A != B )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(15,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D = E )
| ( B != C )
| ~ ( C @ ( E @ ( A @ complexity ) ) )
| ~ ( B @ ( D @ ( A @ complexity ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp18_23) ).
thf(40,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D = E )
| ( B != C )
| ~ ( C @ ( E @ ( A @ complexity ) ) )
| ~ ( B @ ( D @ ( A @ complexity ) ) )
| ~ ( C @ ( A @ organization ) )
| ~ ( B @ ( A @ organization ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(4,negated_conjecture,
sk6 @ ( sk2 @ ( sk1 @ complexity ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_29) ).
thf(26,plain,
sk6 @ ( sk2 @ ( sk1 @ complexity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,negated_conjecture,
sk7 @ ( sk5 @ ( sk1 @ size ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_32) ).
thf(23,plain,
sk7 @ ( sk5 @ ( sk1 @ size ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(56,plain,
$false,
inference(e,[status(thm)],[35,18,31,19,24,25,20,46,38,21,33,22,44,27,40,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT013-1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.13/0.40 % Computer : n017.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Fri Sep 25 23:58:48 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 1.29/1.24 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.86/1.50 % [INFO] Parsing done (255ms).
% 1.86/1.52 % [INFO] Running in sequential loop mode.
% 2.38/1.84 % [INFO] eprover registered as external prover.
% 2.38/1.85 % [INFO] Scanning for conjecture ...
% 2.38/1.90 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 2.62/1.91 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 2.62/1.93 % [INFO] Problem is propositional (TPTP CNF).
% 2.62/1.93 % [INFO] Type checking passed.
% 2.62/1.93 % [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 ...
% 4.02/2.31 % External prover 'e' found a proof!
% 4.02/2.31 % [INFO] Killing All external provers ...
% 4.02/2.31 % Time passed: 1697ms (effective reasoning time: 778ms)
% 4.02/2.31 % Axioms used in derivation (8): t11_FOL_24, mp16_21, mp6_1_18, mp6_2_19, mp15_20, mp18_23, mp17_22, t12_FOL_25
% 4.02/2.31 % No. of inferences in proof: 35
% 4.02/2.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1697 ms resp. 778 ms w/o parsing
% 4.02/2.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.02/2.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------