%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT060-1 : 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 : n008.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 08:00:48 AM UTC 2026
% Result : Unsatisfiable 4.03s 2.66s
% Output : Refutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 25
% Syntax : Number of formulae : 51 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 117 ( 20 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 322 ( 48 ~; 66 |; 0 &; 208 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 66 ( 0 ^; 66 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(hazard_of_mortality_decl,type,
hazard_of_mortality: $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(mod2_decl,type,
mod2: $i ).
thf(low_decl,type,
low: $i ).
thf(mod1_decl,type,
mod1: $i ).
thf(very_low_decl,type,
very_low: $i ).
thf(high_decl,type,
high: $i ).
thf(is_aligned_decl,type,
is_aligned: $i > $i > $o ).
thf(positional_advantage_decl,type,
positional_advantage: $i > $i > $o ).
thf(18,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= low )
| ~ ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_33) ).
thf(60,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= low )
| ~ ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(65,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ greater ) )
| ~ ( B @ ( A @ greater_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(73,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(63,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ smaller ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,axiom,
low @ ( mod1 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_38) ).
thf(46,plain,
low @ ( mod1 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_34) ).
thf(78,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 )
| ~ ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(4,negated_conjecture,
~ ( sk2 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ greater ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_45) ).
thf(29,plain,
~ ( sk2 @ ( sk1 @ hazard_of_mortality ) @ ( sk3 @ ( sk1 @ hazard_of_mortality ) @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 )
| ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_35) ).
thf(70,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 )
| ( B @ ( A @ positional_advantage ) )
| ~ ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(3,negated_conjecture,
~ ( sk3 @ ( sk1 @ has_immunity ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_44) ).
thf(28,plain,
~ ( sk3 @ ( sk1 @ has_immunity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( B @ ( A @ smaller ) )
| ~ ( B @ ( A @ smaller_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
low @ ( mod2 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e_41) ).
thf(45,plain,
low @ ( mod2 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(17,axiom,
very_low @ ( low @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c_39) ).
thf(59,plain,
very_low @ ( low @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(2,negated_conjecture,
sk2 @ ( sk1 @ has_immunity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_43) ).
thf(27,plain,
sk2 @ ( sk1 @ has_immunity ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,axiom,
mod2 @ ( high @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d_40) ).
thf(54,plain,
mod2 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater_or_equal ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
sk1 @ organization,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_42) ).
thf(26,plain,
sk1 @ organization,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= high )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_36) ).
thf(55,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= high )
| ( B @ ( A @ positional_advantage ) )
| ( B @ ( A @ is_aligned ) )
| ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(75,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,axiom,
mod1 @ ( high @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a_37) ).
thf(58,plain,
mod1 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ smaller_or_equal ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= very_low )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_32) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ hazard_of_mortality ) )
= very_low )
| ~ ( B @ ( A @ has_immunity ) )
| ~ ( A @ organization ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ greater ) )
| ~ ( C @ ( B @ greater ) )
| ~ ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ greater ) )
| ~ ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(97,plain,
$false,
inference(e,[status(thm)],[60,65,41,73,63,46,78,29,70,28,38,32,45,59,27,54,49,26,55,75,58,36,51,47,68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT060-1 : 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
% 0.16/0.42 % Computer : n008.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 00:11:39 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 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
% 0.86/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.33/1.22 % [INFO] Parsing done (204ms).
% 1.33/1.23 % [INFO] Running in sequential loop mode.
% 1.98/1.64 % [INFO] eprover registered as external prover.
% 1.98/1.65 % [INFO] Scanning for conjecture ...
% 2.19/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 21 axioms. Running axiom selection ...
% 2.34/1.81 % [INFO] Axiom selection finished. Selected 21 axioms (removed 0 axioms).
% 2.34/1.84 % [INFO] Problem is propositional (TPTP CNF).
% 2.34/1.85 % [INFO] Type checking passed.
% 2.34/1.86 % [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 ...
% 4.03/2.66 % External prover 'e' found a proof!
% 4.03/2.66 % [INFO] Killing All external provers ...
% 4.03/2.66 % Time passed: 2089ms (effective reasoning time: 1415ms)
% 4.03/2.66 % Axioms used in derivation (21): assumption_17_33, definition_greater_or_equal_5, assumption_17_34, assumption_17_36, definition_smaller_or_equal_3, definition_greater_or_equal_6, assumption_18d_40, definition_smaller_or_equal_1, definition_greater_or_equal_4, definition_smaller_7, assumption_17_35, meaning_postulate_greater_comparable_11, assumption_17_32, definition_smaller_or_equal_2, definition_smaller_8, assumption_18b_38, assumption_18e_41, assumption_18c_39, meaning_postulate_greater_transitive_10, meaning_postulate_greater_strict_9, assumption_18a_37
% 4.03/2.66 % No. of inferences in proof: 51
% 4.03/2.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2089 ms resp. 1415 ms w/o parsing
% 4.40/2.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.40/2.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------