TSTP Solution File: MGT055+1 by Leo-III---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : MGT055+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:41:36 EDT 2024
% Result : Theorem 25.89s 4.90s
% Output : Refutation 25.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 30
% Syntax : Number of formulae : 47 ( 1 unt; 15 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 : 23 ( 23 >; 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_type,type,
organization: $i > $o ).
thf(has_endowment_type,type,
has_endowment: $i > $o ).
thf(age_type,type,
age: $i > $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(eta_type,type,
eta: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(sigma_type,type,
sigma: $i ).
thf(hazard_of_mortality_type,type,
hazard_of_mortality: $i > $i > $i ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(has_immunity_type,type,
has_immunity: $i > $i > $o ).
thf(dissimilar_type,type,
dissimilar: $i > $i > $i > $o ).
thf(is_aligned_type,type,
is_aligned: $i > $i > $o ).
thf(capability_type,type,
capability: $i > $i > $i ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
thf(56,plain,
! [A: $i,B: $i,C: $i] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( has_immunity @ A @ B )
& ~ ( has_immunity @ A @ C ) )
=> ( greater @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
thf(78,plain,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( has_immunity @ A @ B )
& ~ ( has_immunity @ A @ C ) )
=> ( greater @ ( hazard_of_mortality @ A @ C ) @ ( hazard_of_mortality @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
! [A: $i] :
( ( has_endowment @ A )
<=> ! [B: $i] :
( ( organization @ A )
& ( ( smaller_or_equal @ ( age @ A @ B ) @ eta )
=> ( has_immunity @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ eta )
=> ~ ( has_immunity @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
thf(61,plain,
! [A: $i] :
( ( ( has_endowment @ A )
=> ! [B: $i] :
( ( organization @ A )
& ( ( smaller_or_equal @ ( age @ A @ B ) @ eta )
=> ( has_immunity @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ eta )
=> ~ ( has_immunity @ A @ B ) ) ) )
& ( ! [B: $i] :
( ( organization @ A )
& ( ( smaller_or_equal @ ( age @ A @ B ) @ eta )
=> ( has_immunity @ A @ B ) )
& ( ( greater @ ( age @ A @ B ) @ eta )
=> ~ ( has_immunity @ A @ B ) ) )
=> ( has_endowment @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
thf(53,plain,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( ( greater @ ( age @ A @ C ) @ sigma )
<=> ( dissimilar @ A @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
thf(96,plain,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( ( ( greater @ ( age @ A @ C ) @ sigma )
=> ( dissimilar @ A @ B @ C ) )
& ( ( dissimilar @ A @ B @ C )
=> ( greater @ ( age @ A @ C ) @ sigma ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A )
& ( has_endowment @ A )
& ( ( age @ A @ B )
= zero )
& ( smaller_or_equal @ ( age @ A @ C ) @ eta )
& ( greater @ ( age @ A @ D ) @ eta )
& ( smaller_or_equal @ ( age @ A @ D ) @ sigma )
& ( greater @ ( age @ A @ E ) @ sigma )
& ( greater @ sigma @ eta )
& ( greater @ eta @ zero ) )
=> ( ( greater @ ( hazard_of_mortality @ A @ E ) @ ( hazard_of_mortality @ A @ D ) )
& ( greater @ ( hazard_of_mortality @ A @ D ) @ ( hazard_of_mortality @ A @ C ) )
& ( ( hazard_of_mortality @ A @ C )
= ( hazard_of_mortality @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A )
& ( has_endowment @ A )
& ( ( age @ A @ B )
= zero )
& ( smaller_or_equal @ ( age @ A @ C ) @ eta )
& ( greater @ ( age @ A @ D ) @ eta )
& ( smaller_or_equal @ ( age @ A @ D ) @ sigma )
& ( greater @ ( age @ A @ E ) @ sigma )
& ( greater @ sigma @ eta )
& ( greater @ eta @ zero ) )
=> ( ( greater @ ( hazard_of_mortality @ A @ E ) @ ( hazard_of_mortality @ A @ D ) )
& ( greater @ ( hazard_of_mortality @ A @ D ) @ ( hazard_of_mortality @ A @ C ) )
& ( ( hazard_of_mortality @ A @ C )
= ( hazard_of_mortality @ A @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(17,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A )
& ( has_endowment @ A )
& ( ( age @ A @ B )
= zero )
& ( smaller_or_equal @ ( age @ A @ C ) @ eta )
& ( greater @ ( age @ A @ D ) @ eta )
& ( smaller_or_equal @ ( age @ A @ D ) @ sigma )
& ( greater @ ( age @ A @ E ) @ sigma )
& ( greater @ sigma @ eta )
& ( greater @ eta @ zero ) )
=> ( ( greater @ ( hazard_of_mortality @ A @ E ) @ ( hazard_of_mortality @ A @ D ) )
& ( greater @ ( hazard_of_mortality @ A @ D ) @ ( hazard_of_mortality @ A @ C ) )
& ( ( hazard_of_mortality @ A @ C )
= ( hazard_of_mortality @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( greater_or_equal @ A @ B )
<=> ( ( greater @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
thf(39,plain,
! [A: $i,B: $i] :
( ( ( greater_or_equal @ A @ B )
=> ( ( greater @ A @ B )
| ( A = B ) ) )
& ( ( ( greater @ A @ B )
| ( A = B ) )
=> ( greater_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( dissimilar @ A @ B @ C )
<=> ( ( organization @ A )
& ~ ( ( is_aligned @ A @ B )
<=> ( is_aligned @ A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
thf(80,plain,
! [A: $i,B: $i,C: $i] :
( ( ( dissimilar @ A @ B @ C )
=> ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) ) )
& ( ( ( organization @ A )
& ~ ( ( ( is_aligned @ A @ B )
=> ( is_aligned @ A @ C ) )
& ( ( is_aligned @ A @ C )
=> ( is_aligned @ A @ B ) ) ) )
=> ( dissimilar @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
<=> ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( ( smaller @ A @ B )
=> ( greater @ B @ A ) )
& ( ( greater @ B @ A )
=> ( smaller @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( smaller_or_equal @ A @ B )
<=> ( ( smaller @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( ( smaller_or_equal @ A @ B )
=> ( ( smaller @ A @ B )
| ( A = B ) ) )
& ( ( ( smaller @ A @ B )
| ( A = B ) )
=> ( smaller_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( is_aligned @ A @ B )
& ~ ( is_aligned @ A @ C ) )
=> ( greater @ ( capability @ A @ B ) @ ( capability @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_14) ).
thf(94,plain,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( is_aligned @ A @ B )
& ~ ( is_aligned @ A @ C ) )
=> ( greater @ ( capability @ A @ B ) @ ( capability @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ~ ( has_immunity @ A @ B )
& ~ ( has_immunity @ A @ C )
& ( greater @ ( capability @ A @ C ) @ ( capability @ A @ B ) ) )
=> ( greater @ ( hazard_of_mortality @ A @ B ) @ ( hazard_of_mortality @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_16) ).
thf(103,plain,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ~ ( has_immunity @ A @ B )
& ~ ( has_immunity @ A @ C )
& ( greater @ ( capability @ A @ C ) @ ( capability @ A @ B ) ) )
=> ( greater @ ( hazard_of_mortality @ A @ B ) @ ( hazard_of_mortality @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( is_aligned @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
thf(91,plain,
! [A: $i,B: $i] :
( ( ( organization @ A )
& ( ( age @ A @ B )
= zero ) )
=> ( is_aligned @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( has_immunity @ A @ B )
& ( has_immunity @ A @ C ) )
=> ( ( hazard_of_mortality @ A @ B )
= ( hazard_of_mortality @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
thf(75,plain,
! [A: $i,B: $i,C: $i] :
( ( ( organization @ A )
& ( has_immunity @ A @ B )
& ( has_immunity @ A @ C ) )
=> ( ( hazard_of_mortality @ A @ B )
= ( hazard_of_mortality @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
thf(58,plain,
! [A: $i,B: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10020,plain,
$false,
inference(e,[status(thm)],[56,78,61,53,96,17,39,80,48,30,94,103,91,75,58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : MGT055+1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.09 % Command : run_Leo-III %s %d
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Sun May 19 00:02:23 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.64/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.99/0.82 % [INFO] Parsing done (117ms).
% 0.99/0.82 % [INFO] Running in sequential loop mode.
% 1.45/1.04 % [INFO] eprover registered as external prover.
% 1.45/1.05 % [INFO] cvc4 registered as external prover.
% 1.45/1.05 % [INFO] Scanning for conjecture ...
% 1.64/1.13 % [INFO] Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ...
% 1.64/1.15 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 1.64/1.18 % [INFO] Problem is first-order (TPTP FOF).
% 1.64/1.18 % [INFO] Type checking passed.
% 1.90/1.19 % [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 ...
% 25.89/4.89 % External prover 'e' found a proof!
% 25.89/4.89 % [INFO] Killing All external provers ...
% 25.89/4.89 % Time passed: 4505ms (effective reasoning time: 4066ms)
% 25.89/4.89 % 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)>
% 25.89/4.89 % 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
% 25.89/4.89 % No. of inferences in proof: 32
% 25.89/4.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4505 ms resp. 4066 ms w/o parsing
% 25.89/4.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 25.89/4.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------