%------------------------------------------------------------------------------
% 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/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 : n015.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 : Theorem 5.92s 3.50s
% Output : Refutation 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 18 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 263 ( 17 ~; 10 |; 29 &; 179 @)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
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(very_low_decl,type,
very_low: $i ).
thf(is_aligned_decl,type,
is_aligned: $i > $i > $o ).
thf(positional_advantage_decl,type,
positional_advantage: $i > $i > $o ).
thf(low_decl,type,
low: $i ).
thf(mod1_decl,type,
mod1: $i ).
thf(mod2_decl,type,
mod2: $i ).
thf(high_decl,type,
high: $i ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
thf(52,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
very_low @ ( low @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c) ).
thf(74,plain,
very_low @ ( low @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ smaller_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ smaller ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( ( ( A = B )
| ( B @ ( A @ smaller ) ) )
=> ( B @ ( A @ smaller_or_equal ) ) )
& ( ( B @ ( A @ smaller_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ smaller ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ smaller ) )
<=> ( A @ ( B @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
thf(41,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ greater ) )
=> ( B @ ( A @ smaller ) ) )
& ( ( B @ ( A @ smaller ) )
=> ( A @ ( B @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
low @ ( mod1 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
thf(73,plain,
low @ ( mod1 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(14,axiom,
low @ ( mod2 @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).
thf(76,plain,
low @ ( mod2 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(10,axiom,
mod1 @ ( high @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a) ).
thf(72,plain,
mod1 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( A @ organization )
=> ( ( ~ ( B @ ( A @ has_immunity ) )
=> ( ( ( ~ ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= high ) )
& ( ( ~ ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= low ) ) ) )
& ( ( B @ ( A @ has_immunity ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
thf(55,plain,
! [A: $i,B: $i] :
( ( A @ organization )
=> ( ( ~ ( B @ ( A @ has_immunity ) )
=> ( ( ( ~ ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= high ) )
& ( ( ~ ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod2 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ~ ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= mod1 ) )
& ( ( ( B @ ( A @ positional_advantage ) )
& ( B @ ( A @ is_aligned ) ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= low ) ) ) )
& ( ( B @ ( A @ has_immunity ) )
=> ( ( B @ ( A @ hazard_of_mortality ) )
= very_low ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
mod2 @ ( high @ greater ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).
thf(75,plain,
mod2 @ ( high @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) )
=> ( C @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
thf(50,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) )
=> ( C @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ greater_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
thf(31,plain,
! [A: $i,B: $i] :
( ( ( ( A = B )
| ( B @ ( A @ greater ) ) )
=> ( B @ ( A @ greater_or_equal ) ) )
& ( ( B @ ( A @ greater_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ greater ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(47,plain,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ has_immunity ) )
& ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ has_immunity ) )
& ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ has_immunity ) )
& ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( B @ ( A @ hazard_of_mortality ) @ ( C @ ( A @ hazard_of_mortality ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(93,plain,
$false,
inference(e,[status(thm)],[52,74,21,41,73,76,72,55,75,50,31,47,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT060+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
% 0.24/0.50 % Computer : n015.cluster.edu
% 0.24/0.50 % Model : x86_64 x86_64
% 0.24/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50 % Memory : 8046.5625MB
% 0.24/0.50 % OS : Linux 6.8.0-71-generic
% 0.24/0.50 % CPULimit : 300
% 0.24/0.50 % WCLimit : 300
% 0.24/0.50 % DateTime : Sat Sep 26 00:13:58 UTC 2026
% 0.24/0.50 % CPUTime :
% 0.28/0.50 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
% 1.44/1.34 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.00/1.64 % [INFO] Parsing done (297ms).
% 2.00/1.66 % [INFO] Running in sequential loop mode.
% 3.08/2.25 % [INFO] eprover registered as external prover.
% 3.08/2.26 % [INFO] Scanning for conjecture ...
% 3.50/2.41 % [INFO] Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ...
% 3.50/2.47 % [INFO] Axiom selection finished. Selected 12 axioms (removed 0 axioms).
% 3.73/2.51 % [INFO] Problem is first-order (TPTP FOF).
% 3.73/2.52 % [INFO] Type checking passed.
% 3.73/2.53 % [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 ...
% 5.92/3.49 % External prover 'e' found a proof!
% 5.92/3.49 % [INFO] Killing All external provers ...
% 5.92/3.49 % Time passed: 2784ms (effective reasoning time: 1821ms)
% 5.92/3.49 % 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)>
% 5.92/3.50 % Axioms used in derivation (12): assumption_18c, assumption_17, assumption_18b, assumption_18d, definition_smaller, assumption_18e, meaning_postulate_greater_comparable, meaning_postulate_greater_transitive, meaning_postulate_greater_strict, definition_greater_or_equal, assumption_18a, definition_smaller_or_equal
% 5.92/3.50 % No. of inferences in proof: 28
% 5.92/3.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2784 ms resp. 1821 ms w/o parsing
% 6.38/3.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.38/3.54 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------