TSTP Solution File: MGT004-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT004-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 : Fri May 19 11:35:09 EDT 2023
% Result : Unsatisfiable 2.81s 1.64s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 29
% Syntax : Number of formulae : 44 ( 19 unt; 15 typ; 0 def)
% Number of atoms : 93 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 360 ( 62 ~; 64 |; 0 &; 234 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(sk3_type,type,
sk3: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i ).
thf(reorganization_type,type,
reorganization: $i > $i > $i > $o ).
thf(sk8_type,type,
sk8: $i ).
thf(sk9_type,type,
sk9: $i ).
thf(survival_chance_type,type,
survival_chance: $i > $i > $i > $o ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(reliability_type,type,
reliability: $i > $i > $i > $o ).
thf(sk1_type,type,
sk1: $i > $i > $i ).
thf(accountability_type,type,
accountability: $i > $i > $i > $o ).
thf(sk2_type,type,
sk2: $i > $i > $i ).
thf(6,negated_conjecture,
~ ( greater @ sk8 @ sk6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_11) ).
thf(17,plain,
~ ( greater @ sk8 @ sk6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization @ A @ D @ E )
| ~ ( reliability @ A @ F @ B )
| ~ ( reliability @ A @ G @ C )
| ~ ( accountability @ A @ H @ B )
| ~ ( accountability @ A @ I @ C )
| ( greater @ D @ B )
| ~ ( greater @ C @ B )
| ( greater @ C @ E )
| ( greater @ H @ I ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_FOL_5) ).
thf(35,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization @ A @ D @ E )
| ~ ( reliability @ A @ F @ B )
| ~ ( reliability @ A @ G @ C )
| ~ ( accountability @ A @ H @ B )
| ~ ( accountability @ A @ I @ C )
| ( greater @ D @ B )
| ~ ( greater @ C @ B )
| ( greater @ C @ E )
| ( greater @ H @ I ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,negated_conjecture,
~ ( greater @ sk4 @ sk5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_14) ).
thf(18,plain,
~ ( greater @ sk4 @ sk5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,negated_conjecture,
survival_chance @ sk3 @ sk4 @ sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_9) ).
thf(23,plain,
survival_chance @ sk3 @ sk4 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
organization @ sk3 @ sk7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_7) ).
thf(19,plain,
organization @ sk3 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,negated_conjecture,
survival_chance @ sk3 @ sk5 @ sk7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_10) ).
thf(15,plain,
survival_chance @ sk3 @ sk5 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
greater @ sk7 @ sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_12) ).
thf(20,plain,
greater @ sk7 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( accountability @ A @ ( sk2 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_2) ).
thf(29,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( accountability @ A @ ( sk2 @ B @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,negated_conjecture,
reorganization @ sk3 @ sk8 @ sk9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_8) ).
thf(21,plain,
reorganization @ sk3 @ sk8 @ sk9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization @ A @ D @ E )
| ~ ( reliability @ A @ F @ B )
| ~ ( reliability @ A @ G @ C )
| ~ ( accountability @ A @ H @ B )
| ~ ( accountability @ A @ I @ C )
| ( greater @ D @ B )
| ~ ( greater @ C @ B )
| ( greater @ C @ E )
| ( greater @ F @ G ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_FOL_4) ).
thf(33,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization @ A @ D @ E )
| ~ ( reliability @ A @ F @ B )
| ~ ( reliability @ A @ G @ C )
| ~ ( accountability @ A @ H @ B )
| ~ ( accountability @ A @ I @ C )
| ( greater @ D @ B )
| ~ ( greater @ C @ B )
| ( greater @ C @ E )
| ( greater @ F @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,negated_conjecture,
~ ( greater @ sk7 @ sk9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_13) ).
thf(22,plain,
~ ( greater @ sk7 @ sk9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( reliability @ A @ ( sk1 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_1) ).
thf(27,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( reliability @ A @ ( sk1 @ B @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
organization @ sk3 @ sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_6) ).
thf(16,plain,
organization @ sk3 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(12,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( reliability @ A @ E @ B )
| ~ ( reliability @ C @ F @ D )
| ~ ( accountability @ A @ G @ B )
| ~ ( accountability @ C @ H @ D )
| ~ ( survival_chance @ A @ I @ B )
| ~ ( survival_chance @ C @ J @ D )
| ~ ( greater @ F @ E )
| ~ ( greater @ H @ G )
| ( greater @ J @ I ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_FOL_3) ).
thf(31,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( reliability @ A @ E @ B )
| ~ ( reliability @ C @ F @ D )
| ~ ( accountability @ A @ G @ B )
| ~ ( accountability @ C @ H @ D )
| ~ ( survival_chance @ A @ I @ B )
| ~ ( survival_chance @ C @ J @ D )
| ~ ( greater @ F @ E )
| ~ ( greater @ H @ G )
| ( greater @ J @ I ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[17,35,18,23,19,15,20,29,21,33,22,27,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT004-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 23:37:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.86/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.08/1.00 % [INFO] Parsing done (131ms).
% 1.08/1.01 % [INFO] Running in sequential loop mode.
% 1.71/1.21 % [INFO] eprover registered as external prover.
% 1.71/1.21 % [INFO] cvc4 registered as external prover.
% 1.71/1.21 % [INFO] Scanning for conjecture ...
% 1.79/1.27 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.79/1.29 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.99/1.31 % [INFO] Problem is propositional (TPTP CNF).
% 1.99/1.31 % [INFO] Type checking passed.
% 1.99/1.32 % [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 ...
% 2.81/1.64 % External prover 'e' found a proof!
% 2.81/1.64 % [INFO] Killing All external provers ...
% 2.81/1.64 % Time passed: 1131ms (effective reasoning time: 632ms)
% 2.81/1.64 % 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)>
% 2.81/1.64 % Axioms used in derivation (5): a1_FOL_3, mp2_2, a6_FOL_5, a6_FOL_4, mp1_1
% 2.81/1.64 % No. of inferences in proof: 29
% 2.81/1.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1131 ms resp. 632 ms w/o parsing
% 2.81/1.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.81/1.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------