%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MGT055+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 : n014.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 08:00:47 AM UTC 2026
% Result : Theorem 5.09s 2.87s
% Output : Refutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 161 ( 20 equ; 0 cnn)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 538 ( 18 ~; 10 |; 73 &; 391 @)
% ( 7 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 86 ( 0 ^; 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_decl,type,
organization: $i > $o ).
thf(has_endowment_decl,type,
has_endowment: $i > $o ).
thf(age_decl,type,
age: $i > $i > $i ).
thf(zero_decl,type,
zero: $i ).
thf(smaller_or_equal_decl,type,
smaller_or_equal: $i > $i > $o ).
thf(eta_decl,type,
eta: $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(sigma_decl,type,
sigma: $i ).
thf(hazard_of_mortality_decl,type,
hazard_of_mortality: $i > $i > $i ).
thf(smaller_decl,type,
smaller: $i > $i > $o ).
thf(greater_or_equal_decl,type,
greater_or_equal: $i > $i > $o ).
thf(has_immunity_decl,type,
has_immunity: $i > $i > $o ).
thf(dissimilar_decl,type,
dissimilar: $i > $i > $i > $o ).
thf(is_aligned_decl,type,
is_aligned: $i > $i > $o ).
thf(capability_decl,type,
capability: $i > $i > $i ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) )
& ~ ( C @ ( A @ has_immunity ) )
& ~ ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( C @ ( A @ hazard_of_mortality ) @ ( B @ ( A @ hazard_of_mortality ) @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_16) ).
thf(110,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ capability ) @ ( C @ ( A @ capability ) @ greater ) )
& ~ ( C @ ( A @ has_immunity ) )
& ~ ( B @ ( A @ has_immunity ) )
& ( A @ organization ) )
=> ( C @ ( A @ hazard_of_mortality ) @ ( B @ ( A @ hazard_of_mortality ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
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(57,plain,
! [A: $i,B: $i] :
~ ( ( A @ ( B @ greater ) )
& ( B @ ( A @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
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(41,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(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( zero @ ( eta @ greater ) )
& ( eta @ ( sigma @ greater ) )
& ( sigma @ ( E @ ( A @ age ) @ greater ) )
& ( sigma @ ( D @ ( A @ age ) @ smaller_or_equal ) )
& ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( ( B @ ( A @ age ) )
= zero )
& ( A @ has_endowment )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( zero @ ( eta @ greater ) )
& ( eta @ ( sigma @ greater ) )
& ( sigma @ ( E @ ( A @ age ) @ greater ) )
& ( sigma @ ( D @ ( A @ age ) @ smaller_or_equal ) )
& ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( ( B @ ( A @ age ) )
= zero )
& ( A @ has_endowment )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(17,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( zero @ ( eta @ greater ) )
& ( eta @ ( sigma @ greater ) )
& ( sigma @ ( E @ ( A @ age ) @ greater ) )
& ( sigma @ ( D @ ( A @ age ) @ smaller_or_equal ) )
& ( eta @ ( D @ ( A @ age ) @ greater ) )
& ( eta @ ( C @ ( A @ age ) @ smaller_or_equal ) )
& ( ( B @ ( A @ age ) )
= zero )
& ( A @ has_endowment )
& ( A @ organization ) )
=> ( ( ( C @ ( A @ hazard_of_mortality ) )
= ( B @ ( A @ hazard_of_mortality ) ) )
& ( C @ ( A @ hazard_of_mortality ) @ ( D @ ( A @ hazard_of_mortality ) @ greater ) )
& ( D @ ( A @ hazard_of_mortality ) @ ( E @ ( A @ hazard_of_mortality ) @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [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 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
thf(80,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 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
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(31,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(51,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(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(62,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ greater ) )
| ( A = B )
| ( B @ ( A @ smaller ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
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(60,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(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ dissimilar ) ) )
<=> ( ~ ( ( B @ ( A @ is_aligned ) )
<=> ( C @ ( A @ is_aligned ) ) )
& ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
thf(85,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ~ ( ( ( C @ ( A @ is_aligned ) )
=> ( B @ ( A @ is_aligned ) ) )
& ( ( B @ ( A @ is_aligned ) )
=> ( C @ ( A @ is_aligned ) ) ) )
& ( A @ organization ) )
=> ( C @ ( B @ ( A @ dissimilar ) ) ) )
& ( ( C @ ( B @ ( A @ dissimilar ) ) )
=> ( ~ ( ( ( C @ ( A @ is_aligned ) )
=> ( B @ ( A @ is_aligned ) ) )
& ( ( B @ ( A @ is_aligned ) )
=> ( C @ ( A @ is_aligned ) ) ) )
& ( A @ organization ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( ( sigma @ ( C @ ( A @ age ) @ greater ) )
<=> ( C @ ( B @ ( A @ dissimilar ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
thf(102,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( ( ( C @ ( B @ ( A @ dissimilar ) ) )
=> ( sigma @ ( C @ ( A @ age ) @ greater ) ) )
& ( ( sigma @ ( C @ ( A @ age ) @ greater ) )
=> ( C @ ( B @ ( A @ dissimilar ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ has_endowment )
<=> ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
thf(65,plain,
! [A: $i] :
( ( ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) )
=> ( A @ has_endowment ) )
& ( ( A @ has_endowment )
=> ! [B: $i] :
( ( ( eta @ ( B @ ( A @ age ) @ greater ) )
=> ~ ( B @ ( A @ has_immunity ) ) )
& ( ( eta @ ( B @ ( A @ age ) @ smaller_or_equal ) )
=> ( B @ ( A @ has_immunity ) ) )
& ( A @ organization ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( B @ ( A @ is_aligned ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
thf(97,plain,
! [A: $i,B: $i] :
( ( ( ( B @ ( A @ age ) )
= zero )
& ( A @ organization ) )
=> ( B @ ( A @ is_aligned ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [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(83,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)],[11]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ is_aligned ) )
& ( B @ ( A @ is_aligned ) )
& ( A @ organization ) )
=> ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_14) ).
thf(100,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( A @ is_aligned ) )
& ( B @ ( A @ is_aligned ) )
& ( A @ organization ) )
=> ( C @ ( A @ capability ) @ ( B @ ( A @ capability ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(229,plain,
$false,
inference(e,[status(thm)],[110,57,41,17,80,31,51,62,60,85,102,65,97,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055+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
% 0.12/0.39 % Computer : n014.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 00:09:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.83/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.16 % [INFO] Parsing done (194ms).
% 1.23/1.18 % [INFO] Running in sequential loop mode.
% 1.86/1.57 % [INFO] eprover registered as external prover.
% 1.86/1.57 % [INFO] Scanning for conjecture ...
% 2.07/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 2.26/1.74 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 2.26/1.77 % [INFO] Problem is first-order (TPTP FOF).
% 2.26/1.78 % [INFO] Type checking passed.
% 2.26/1.78 % [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 ...
% 5.09/2.87 % External prover 'e' found a proof!
% 5.09/2.87 % [INFO] Killing All external provers ...
% 5.09/2.87 % Time passed: 2333ms (effective reasoning time: 1685ms)
% 5.09/2.87 % 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)>
% 5.09/2.87 % Axioms used in derivation (14): assumption_16, assumption_3, definition_smaller, assumption_15, meaning_postulate_greater_comparable, meaning_postulate_greater_transitive, assumption_2, definition_2, meaning_postulate_greater_strict, definition_greater_or_equal, definition_1, assumption_13, definition_smaller_or_equal, assumption_14
% 5.09/2.87 % No. of inferences in proof: 32
% 5.09/2.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2333 ms resp. 1685 ms w/o parsing
% 5.88/2.93 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.88/2.93 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------