%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT045-1 : 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 : n013.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 08:00:44 AM UTC 2026
% Result : Unsatisfiable 3.54s 2.19s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of formulae : 35 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 14 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 260 ( 38 ~; 42 |; 0 &; 180 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(age_decl,type,
age: $i > $i > $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(position_decl,type,
position: $i > $i > $i ).
thf(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(external_ties_decl,type,
external_ties: $i > $i > $i ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
| ~ ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_32) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
| ~ ( C @ ( A @ age ) @ ( B @ ( A @ age ) @ greater ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ position ) )
= ( C @ ( A @ position ) ) )
| ( ( B @ ( A @ external_ties ) )
!= ( C @ ( A @ external_ties ) ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_31) ).
thf(53,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ position ) )
= ( C @ ( A @ position ) ) )
| ( ( B @ ( A @ external_ties ) )
!= ( C @ ( A @ external_ties ) ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(31,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
~ ( sk2 @ ( sk1 @ position ) @ ( sk3 @ ( sk1 @ position ) @ greater ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_35) ).
thf(20,plain,
~ ( sk2 @ ( sk1 @ position ) @ ( sk3 @ ( sk1 @ position ) @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(1,negated_conjecture,
sk1 @ organization,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_33) ).
thf(18,plain,
sk1 @ organization,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ position ) @ ( B @ ( A @ position ) @ greater ) )
| ~ ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_30) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ position ) @ ( B @ ( A @ position ) @ greater ) )
| ~ ( C @ ( A @ external_ties ) @ ( B @ ( A @ external_ties ) @ greater ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(2,negated_conjecture,
sk2 @ ( sk1 @ age ) @ ( sk3 @ ( sk1 @ age ) @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_34) ).
thf(19,plain,
sk2 @ ( sk1 @ age ) @ ( sk3 @ ( sk1 @ age ) @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(58,plain,
$false,
inference(e,[status(thm)],[56,53,34,31,40,42,25,20,46,22,44,27,48,18,36,51,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % 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
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 00:08:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 0.68/0.78 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.03/0.98 % [INFO] Parsing done (195ms).
% 1.03/1.00 % [INFO] Running in sequential loop mode.
% 1.72/1.39 % [INFO] eprover registered as external prover.
% 1.91/1.40 % [INFO] Scanning for conjecture ...
% 2.09/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 2.09/1.53 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 2.09/1.56 % [INFO] Problem is propositional (TPTP CNF).
% 2.09/1.57 % [INFO] Type checking passed.
% 2.09/1.57 % [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 ...
% 3.54/2.18 % External prover 'e' found a proof!
% 3.54/2.18 % [INFO] Killing All external provers ...
% 3.54/2.18 % Time passed: 1715ms (effective reasoning time: 1182ms)
% 3.54/2.19 % Axioms used in derivation (14): definition_greater_or_equal_5, assumption_6_31, definition_smaller_or_equal_3, definition_greater_or_equal_6, assumption_6_30, definition_smaller_or_equal_1, definition_smaller_or_equal_2, definition_greater_or_equal_4, meaning_postulate_greater_strict_9, definition_smaller_7, assumption_8_32, meaning_postulate_greater_comparable_11, definition_smaller_8, meaning_postulate_greater_transitive_10
% 3.54/2.19 % No. of inferences in proof: 35
% 3.54/2.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1715 ms resp. 1182 ms w/o parsing
% 3.74/2.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.74/2.24 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------